how many whole numbers are there between 40 and 75​

Answers

Answer 1

Answer:

2

Step-by-step explanation:

50 and 60

Answer 2

Answer: 35 whole numbers.

Step-by-step explanation:

You could just find the difference between the numbers or list the numbers.

75-40=35

Or, 41,42,43,44,45,46,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74.

All these numbers are whole numbers between 40 and 75 and they all count up to 35.


Related Questions

plss help bring up my grade

Answers

Answer:

117 units cubed.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

Answer:

117

Step-by-step explanation:

find all the shown surface area

KLA=120x KLM=168x ALM=48. Find x

Answers

Answer:

Step-by-st

respond  poorfa

Answer:

180-168=12

12+48=60x

Step-by-step explanation:

Question 1:Lauren wants to buy 3 shirts at $15.00 each. At home, she calculates the total cost as $46.20, using the sales tax of 8%. At the store, Lisa (the cashier) tells Lauren the total cost is $48.60. Which person is wrong, Lauren or Lisa


Question 2:What’s the cost of the shirts before tax


Question 3:How much is the sales tax for all shirts


Question 4:What is the total cost of the shirts, including tax?

Answers

Answer:

Lauren is wrong

Step-by-step explanation:

1. Lauren is wrong

2. What’s the cost of the shirts before tax

Each shirt cost $15 and the total = $15 x 3 = $45

3. How much is the sales tax for all shirts

Sale tax for all shirts is $45 x 0.08 = $3.6

4. What is the total cost of the shirts, including tax?

Total cost  = $45 + $3.6 = $48.60

f(x) = 2x - 2
Find f(3)

Answers

Step-by-step explanation:

Replace x = 3

f(3) = 2(3) - 2

= 6 - 2

= 4

Answer:

f(3) =4

Step-by-step explanation:

f(x) = 2x - 2

Let x=3

f(3) = 2*3 - 2

     = 6-2

     = 4

Identify the graph of the equation. What is the angle of rotation for the equation?
y2 + 8x = 0
hyperbola; 30°
b. parabola; 90°
a.
C.
d.
hyperbola; 180°
parabola; 0°

Answers

Answer:

D. Parabola; 0°

Step-by-step explanation:

Parabola; 0
Hope this helps

Suppose that in a certain sinkhole the ground dropped 69.6 ft in 24 hr. Find the unit rate representing the change in altitude per hour ..the unit rate representing the change in altitude is how many feet per hour

Answers

Answer:

2.9 per hour

Step-by-step explanation:

Divide 69.9 by 24

Help! Which of the following side lengths would NOT make a right triangle?

Answers

Answer:

The Answer is 10, 50, and 54

Step-by-step explanation:

You want to figure this answer out by using the Pythagorean Theorem. If 10 squared plus 50 squared does not equal 54 squared, then those side lengths can not make a triangle.  

WILL MARK BRAINLIEST !!! NEED HELP

Answers

Answer:

[tex] y = -\frac{1}{3}x-2[/tex]

Step-by-step explanation:

From the table it is clear that the line is passing through the points [tex] (0,\: -2)= (x_1, \:y_1) \: \&\: (-6, \:0)=(x_2,\:y_2) [/tex]

(There are many other points in the table and any two of them can chosen as per our convenience)

Equation of line in two point form is given as:

[tex] \frac{y-y_1}{y_1 - y_2} = \frac {x-x_1}{x_1 - x_2} \\\\

\therefore \frac{y-(-2)}{-2 - 0} = \frac {x-0}{0 - (-6)} \\\\

\therefore \frac{y+2}{-2} = \frac {x}{0+6)} \\\\

\therefore \frac{y+2}{-2} = \frac {x}{6)} \\\\

\therefore 6(y + 2) = - 2(x)\\

\therefore 6y + 12 = - 2x \\

\therefore 6y = - 2x - 12\\\\

\therefore y = -\frac{2}{6}x-\frac{12}{6}\\\\

\huge \red {\boxed {y = -\frac{1}{3}x-2}} \\\\[/tex]

Pew Research Center is a nonpartisan polling organization that provides information about issues, attitudes, and trends shaping America. In a poll, Pew researchers found that 47% of American adult respondents reported getting at least some local news on their cell phone or tablet computer (Pew Research website, May 14, 2011). Further findings showed that 42% of respondents who own cell phones or tablet computers use those devices to check local weather reports and 37% use the devices to find local restaurants or other businesses.
a. One statistic concerned using cell phones or tablet computers for local news. What population is that finding applicable to?
b. Another statistic concerned using cell phones or tablet computers to check local weather reports and to find local restaurants. What population is this finding applicable to?
c. Do you think the Pew researchers conducted a census or a sample survey to obtain their results? Why?
d. If you were a restaurant owner, would you find these results interesting? Why? How could you take advantage of this information?

Answers

Answer:

a) Population of adults who watch local news

b) Population of adults who use cell phones or tablets.

c) They conducted a sample survey

d) I will find the results interesting.

I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Step-by-step explanation:

a) This finding is applicable to the population of adults who watch local news.

This is because the sample will be collected from the population of adults who watch local news to see the percentage that actually get those local news from their cell phones or tablet computers.

b) This finding is applicable to the population of adults who use cell phones or tablets.

The sample will be collected from the population of adults who use cell phones or tablets. A survey can now be carried out to find out what they use their phones or tablets for, whether to search for restaurants or get weather reports.

c) The Pew Researchers conducted a sample survey because a census data cannot contain the information about weather reports, local restaurants or news channel. Precise information can only be gotten from a sample survey.

d) Yes, I will. Having an idea of how large the population of those that search for local restaurants on phones and tablets will enable me to channel my publicity towards this media. I as a restaurant owner will also enable a Search Engine Optimization for my website to place my restaurant on the top when local restaurants are searched.

Find the probability that a value randomly selected from this population will have a value greater than 130. b. Find the probability that a value randomly selected from this population will have a value less than 95. c. Find the probability that a value randomly selected from this population will have a value between 95 and 130.

Answers

Answer:

a) 0.0668

b) 0.3085

c) 0.6247

Question:

A population is normally distributed with μ = 100 and σ= 20.

a. Find the probability that a value randomly selected from this population will have a value greater than

130.

b. Find the probability that a value randomly selected from this population will have a value less than 90.

c. Find the probability that a value randomly selected from this population will have a value between 90

and 130.

Step-by-step explanation:

a) The probability that a value randomly selected from this population will have a value greater than 130 = P(X >130)

A z-score also referred to as a standard normal table shows the number of standard deviations a raw score lays either above or below the mean.

Let's determine the z-score using:

z = (x - µ)/σ

µ = 100

σ = 20

z = (130-100)/20

z = 30/20 = 1.5

The probability from the standard normal table associated with z = 1.50 is 0.4332. This is the area between z = 1.50 and the mean.

The total area under any normal curve is 1. Due to the fact that the normal curve is symmetric about the mean, the area on either sides of the mean is 0.5.

The desired probability = 0.5000 - 0.4332

= 0.0668

Find attached the diagram.

b) The probability that a value randomly selected from this population will have a value less than 90 = P(X<90)

Using the z-score formula:

z = (x - µ)/σ

z = (90-100)/20

z = (-10)/20 = -0.5

The probability from the standard normal table associated with

z = -0.50 is 0.1915. This is the area between z = -0.50 and the mean.

The desired probability = 0.5000 - 0.1915

= 0.3085

Find attached the diagram.

c) The probability that a value randomly selected from this population will have a value between 90 and 130 = P(90≤X≤130)

We earlier found the z score when P(X<90) = -0.5

And the probability associated with

z = -0.50 is 0.1915.

The z score when P(X>130) = 1.5

And the probability associated with z = 1.50 is 0.4332.

The desired probability is the addition of the two probabilities:

P(90≤X≤130) = 0.1915+0.4332

P(90≤X≤130) = 0.6247

On the dietitians beverage tray are 16 filled six ounce glasses. Four glasses contain prune juice and two glasses contain apple juice. What fractional part of the glasses contain some other beverage?( perhaps, H2O) than prune juice and apple juice?

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

Given:

Total number of glasses = 16

Number of glasses containing prune juice = 4

Number of glasses containing apple juice = 2

To find:  fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice

Solution:

A fraction refers to the parts of a whole. In a fraction, a top number is the numerator, and a bottom number is the denominator.

Number of glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = 16 - 4 - 2 = 10

Total number of glasses = 16

So,

Fractional part of the glasses that contain beverages ( perhaps, H2O) other than prune juice and apple juice = [tex]\frac{10}{16}=\frac{5}{8}[/tex]

Un bosque de 2 km2 está formado por hayas y pinos. Las hayas ocupan 380.000 m2 ¿Cuántos metros cuadrados ocupan los pinos?

Answers

Answer:

Los pinos ocupan [tex] \\ 1620000m^{2}[/tex] o 1 millón seiscientos veinte mil metros cuadrados.

Step-by-step explanation:

Una manera de resolver este problema es la siguiente:

[tex] \\ 1km^{2} = 1km * 1km = 1000m * 1000m = 1000000m^{2}[/tex]

[tex] \\ 2km^{2} = 2km * 1km = 2000m * 1000m = 2000000m^{2} = 2 * 10^{6}m^{2}[/tex]

En palabras, [tex] \\ 2km^{2} = 2000000m^{2}[/tex], o dos kilómetros cuadrados son iguales a 2 millones de metros cuadrados.

Sabemos que:

Estos [tex] \\ 2km^{2} = 2000000m^{2}[/tex] de bosque lo ocupan hayas y pinos, y, adicionalmente, Las hayas ocupan [tex] \\ 380000m^{2}[/tex].

De esta manera, la parte que ocupan los pinos es el total del bosque menos el área ocupada por las hayas. Por lo tanto, el área ocupada por los pinos es:

[tex] \\ 2000000m^{2} - 380000m^{2}[/tex]

[tex] \\ 1620000m^{2}[/tex]

¿Cuántos metros cuadrados ocupan los pinos?

Los pinos ocupan, entonces, [tex] \\ 1620000m^{2}[/tex] o 1 millón seiscientos veinte mil metros cuadrados.

Sky and Natalia shared some money in the ratio 6:5.
Sky gets £3 more than Natalia.
How much does Natalia receive?​

Answers

Let the amount that Sky receives be S, and the amount that Natalia recieves be N.

[tex] \dfrac{s}{n} = \dfrac{6}{5} [/tex]

[tex]s = n + 3 \\ \\ \dfrac{n + 3}{n} = \frac{6}{5} \\ \\ 5n + 15 = 6n \\ \\ n = 15[/tex]

15 euros

The floor manager of the factory earns €45,000 annually. She has a standard rate cut-off point of €28,000 and a tax credit of €4,000. If the standard rate of income tax is 20% and the higher rate is 41%, how much income tax does she have to pay a year?

Answers

Answer:

She has to pay income tax of  8,570 Euros

Step-by-step explanation:

On the 28,000 Euros,the floor manager would pay taxes at the rate of 20% which is computed thus:

tax at 20%=28,000 Euros*20%=5,600 Euros

The remaining earnings would be charged to tax at higher tax rate of 41% as follows:

tax at 41%=45,000 Euros-28,000 Euros=17,000 Euros*41%=6,970  Euros

Total amount of taxes=5,600+6970 = 12,570 Euros

Taxes payable =total taxes -tax credit

The manager has a tax credit of 4,000 Euros

taxes payable= 12,570-4,000=8,570 Euros

 

The following data represent the pulse rates? (beats per? minute) of nine students enrolled in a statistics course. Treat the nine students as a population.Complete parts ?(a) through? (c). Student Pulse ??Perpectual Bempah 64 ??Megan Brooks 77 ??Jeff Honeycutt 89 ??Clarice Jefferson 69 ??Crystal Kurtenbach 89 ??Janette Lantka 65 ??Kevin McCarthy 88 ??Tammy Ohm 69 ??Kathy Wojdya 87(a) Determine the population mean pulse. The population mean pulse is approximately nothing beats per minute. ?(Round to one decimal place as? needed.)(b) Determine the sample mean pulse of the following two simple random samples of size 3. Sample? 1: StartSet Janette comma Clarice comma Megan EndSet Sample? 2: StartSet Perpectual comma Clarice comma Megan EndSet The mean pulse of sample 1 is approximately nothing beats per minute. ?(Round to one decimal place as? needed.) The mean pulse of sample? 2, is approximately nothing beats per minute. ?(Round to one decimal place as? needed.)(c) Determine if the means of samples 1 and 2? overestimate, underestimate, or are equal to the population mean. The mean pulse rate of sample 1 ? (underestimates/ is equal to/ overestimates) the population mean. The mean pulse rate of sample 2 (is equal to/ underestimates/ or overestimates) the population mean.

Answers

Answer:

(a)77.4bpm

(b)Mean of Sample 1 = 70.3 beats per minute.  

Mean pulse of sample 2 = 70 beats per minute.

(c)

The mean pulse rate of sample 1 underestimates the population mean. The mean pulse rate of sample 2 underestimates the population mean.

Step-by-step explanation:

(a)Population mean pulse.

The pulse of the nine students which represent the population are:

Perpectual Bempah      64Megan Brooks               77Jeff Honeycutt               89 Clarice Jefferson           69Crystal Kurtenbach       89 Janette Lantka              65Kevin McCarthy             88Tammy Ohm                  69Kathy Wojdya                 87

[tex]\text{Population Mean} =\dfrac{64+77+89+69+89+65+88+69+87}{9} \\=\dfrac{697}{9} \\\\=77.44[/tex]

The population mean pulse is approximately 77.4 beats per minute.

(b)Sample 1: {Janette,Clarice,Megan}

Janette: 65bpmClarice: 69bpmMegan: 77bpm

Mean of Sample 1

[tex]\text{Sample 1 Mean} =\dfrac{65+69+77}{3} \\=\dfrac{211}{3} \\\\=70.3[/tex]

Sample 2: {Janette,Clarice,Megan}

Perpetual: 64bpmClarice: 69bpmMegan: 77bpm

Mean of Sample 2

[tex]\text{Sample 2 Mean} =\dfrac{64+69+77}{3} \\=\dfrac{210}{3} \\\\=70[/tex]

The mean pulse of sample 1 is approximately 70.3 beats per minute.  

The mean pulse of sample 2 is approximately 70 beats per minute.

(c)

The mean pulse rate of sample 1 underestimates the population mean. The mean pulse rate of sample 2 underestimates the population mean.

A coin is tossed twice in succession. Let A be the event that the first toss is heads and let B the event that the second toss is heads. Find: (a) P(A) (b) P(B) (c) P(A∩B) (d) P(B /A)

Answers

Answer:

Step-by-step explanation:

A coin has two faces, a head (H) or tail (T). Tossing a coin twice in succession would give the following sample size;

                                 {HH, HT, TH, TT}

Given that: A = first toss is heads, B = second toss is heads, then:

i. P(A) = {HH, HT} = 2

ii. P(B) = {TH} = 1

iii. P(A∩B) = {HH} = 1

iv. P(B /A) = [tex]\frac{1}{2}[/tex]

Mr. Evans is considering offering a second after-school tutoring session for his math students each week. He records the number of
students who attend his current sessions each week. The results from the last twelve weeks are shown in the dot plot below.
+
1 2
+
0
+
3
4 5 6 7 8 9 10 11 12 13 14 15
Number of Students
Which statement properly describes the data?
There is not enough information to determine if the data is skewed.
O
The data is symmetric.
The data is skewed right.
The data is skewed left.

Answers

Answer:

Step-by-step explanation:

the data is skewed left

The data in the given set is skewed towards left because the mean of the data is 7.5 and the data is not distributed symmetrically in the given set. Thus, the correct option is C.

What is a Skewed data set?

Skewed data is the data which creates an asymmetrical, skewed curve on the graph scale. In statistics, the graph of a data set with normal distribution is symmetrical and has a bell-like shape. However, the skewed data has a tail on either side of the graph as well.

Skewness can be demonstrated on a bell curve when the data points are not distributed symmetrically to the left and right sides of the median on the curve. If the bell curve is shifted to the left or towards the right side, it is said to be skewed curve. The two halves of the distribution are not mirror images in the skewed curve because the data are not distributed equally on both sides of the distribution peak.

Therefore, the correct option is C.

Learn more about Skewed data here:

https://brainly.com/question/3907939

#SPJ2

Choose the best answer to explain whether the question is statistical or not statistical. How far from work do all the employees live?

Answers

Answer: statistical

Step-by-step explanation: A statistical – is a question that can be answered by collecting data and that anticipates variability in those data • Statistics – the science of collecting, reviewing, and analyzing data

can the square root of a rational number be irrational?

Answers

Answer:

Yes. Some examples are √2, √3, √5.

You better believe it !  In fact, if you don't count an infinite number of examples, you'll find that MOST of their square roots are irrational.

Let's examine the smallest 1,000 integers . . .

-- They're all rational numbers, but ...

-- only 31 of them have rational square roots !

graph of y=- 3x+2 is:

Answers

Answer:

GRAPH OF 3X+2 IS 6

Step-by-step explanation:

Answer:

The graph below

Step-by-step explanation:

On Saturday, a local hamburger shop sold a combined total of 432 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Saturday

Answers

Answer: 268 hamburgers

The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x
3.x2
3r3
4x

Answers

Answer:

  3x²

Step-by-step explanation:

The area is the product of the dimensions of the base:

  area = x(3x) = 3x²

Hurry please! I really need help For what value of the variable is the value of 3−5c one less than the value of 1−c?

Answers

Answer:

Any values that is greater than 1/2.

Step-by-step explanation:

You have to form an inequality. Given that what values is added to c will satisfy that 3 - 5c is less than 1 - c :

[tex]3 - 5c < 1 - c[/tex]

Next, you have to solve :

[tex] - 5c + c < 1 - 3[/tex]

[tex] - 4c < - 2[/tex]

[tex]c > \frac{ - 2}{ - 4} [/tex]

[tex]c > \frac{1}{2} [/tex]

The 10th grade class at Central high school was surveyed about whether they liked running or swimming. Of those surveyed, 58% said they liked to swim and 36% said they liked to run. If 18% said they liked both swimming and running, what percent of those surveyed liked neither?

Answers

Answer:

24% of those surveyed liked neither

Step-by-step explanation:

Set concepts:

We use set concepts to solve this question.

I am going to say that:

P(A) is the percentage of people that liked to swim.

P(B) is the the percentage of people that liked to run.

The percentage of people that liked at least one of these activities is:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In which [tex]P(A \cap B)[/tex] is the probability that a person liked both these activities.

The percentage of people that liked neither is:

[tex]P = 1 - P(A \cup B)[/tex]

Of those surveyed, 58% said they liked to swim and 36% said they liked to run.

This means that [tex]P(A) = 0.58, P(B) = 0.36[/tex]

18% said they liked both swimming and running

This means that [tex]P(A \cap B) = 0.18[/tex]

What percent of those surveyed liked neither?

At least one:

[tex]P(A \cup B) = 0.58 + 0.36 - 0.18 = 0.76[/tex]

Neither:

[tex]P = 1 - P(A \cup B) = 1 - 0.76 = 0.24[/tex]

24% of those surveyed liked neither

if a quadratic equation with real coefficients has a discriminant of -36 then what type of roots does it have

Answers

Step-by-step explanation:

We have,

If a quadratic equation with real coefficients has a discriminant of -36.

The general form of quadratic equation is :

[tex]ax^2+bx+c=0[/tex]

The discriminant of this equation is : [tex]D=b^2-4ac[/tex]

If D=0, it will have 1 real roots

If D>0, it will have 2 real roots

If D<0, it will have no real roots

We have,

D = -36 < 0, so, the quadratic equation will have no real roots.

If the average ago of retirement for a random sample of 87 retired persons is 66 years with a standard deviation of 2 years.a. b. c. d.e.f.g. Find the probability of finding a random sample of 87 retired people in which the average age of retirement is 66.5 or more. Find all values to 3 decimal places.

Answers

Answer:

0.01 = 1% probability of finding a random sample of 87 retired people in which the average age of retirement is 66.5 or more.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 66, \sigma = 2, n = 87, s = \frac{2}{\sqrt{87}} = 0.214[/tex]

Find the probability of finding a random sample of 87 retired people in which the average age of retirement is 66.5 or more.

This probability is 1 subtracted by the pvalue of Z when X = 66.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{66.5 - 66}{0.214}[/tex]

[tex]Z = 2.336[/tex]

[tex]Z = 2.336[/tex] has a pvalue of 0.99.

1 - 0.99 = 0.01

0.01 = 1% probability of finding a random sample of 87 retired people in which the average age of retirement is 66.5 or more.

A cylindrical tank with a​ cross-sectional area of 441 cm squared is filled to a depth of 441 cm with water. At tequals​0, a drain in the bottom of the tank with an area of 21 cm squared is​ opened, allowing water to flow out of the tank. The depth of water in the tank at time tgreater than or equals0 is ​d(t)equals(21 minus 1.1 t )squared.

At what time is the tank empty?

Answers

8300 :) hope this helped a lot

For the function, find all critical numbers and then use the second-derivative test to determine whether the function has a relative maximum or minimum at each critical number. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = x3 − 12x2 + 21x − 8relative maxima x=relative minima x=

Answers

Answer:

relative maximum: x = 1

relative minimum: x = 7

Step-by-step explanation:

Critical points:

Values of x for which f'(x) = 0.

Second derivative test:

For a critical point, if f''(x) > 0, the critical point is a relative minimum.

Otherwise, if f''(x) < 0, the critical point is a relative maximum.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]f(x) = x^{3} - 12x^{2} + 21x - 8[/tex]

Finding the critical points:

[tex]f'(x) = 3x^{2} - 24x + 21[/tex]

[tex]3x^{2} - 24x + 21 = 0[/tex]

Simplifying by 3

[tex]x^{2} - 8x + 7 = 0[/tex]

So [tex]a = 1, b = -8, c = 7[/tex]

[tex]\bigtriangleup = (-8)^{2} - 4*1*7 = 36[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{36}}{2} = 7[/tex]

[tex]x_{2} = \frac{-(-8) - \sqrt{36}}{2} = 1[/tex]

Second derivative test:

The critical points are x = 1 and x = 7.

The second derivative is:

[tex]f''(x) = 6x - 24[/tex]

[tex]f''(1) = 6*1 - 24 = -18[/tex]

Since f''(1) < 0, at x = 1 there is a relative maximum.

[tex]f''(7) = 6*7 - 24 = 18[/tex]

Since f''(x) > 0, at x = 7 there is a relative minumum.

which choice is equivalent to the fraction below?

Answers

Answer: 2 ÷ 17

Step-by-step explanation: When you have something in this form, a/b, it means the same thing as a divided by b.

So 2/17 means the same thing as 2 ÷ 17.

Find the volume of the rectangular prism in cubic centimeters.
(V2 Lowoh)
a. 30
b. 210
7 cm
c. 70
d. 280
10 cm
3 cm

Answers

The volume is 210 cubic centimeters because the equation is
length x width x height
So 3x10x7
Which equals 210 cubic centimeters
Other Questions
List four main reasons people use medications. Simplify:12 + (-38) + 27 Which character is considered to be a foil for Penelope?ClytemnestraArtemisMelanthoEurycleia Reporting Land Transactions on Statement of Cash FlowsOn the basis of the details of the following fixed asset account, indicate the items to be reported on the statement of cash flows:ACCOUNT Land ACCOUNT NO.BalanceDate Item Debit Credit Debit CreditJan. 1 Balance 1,223,000 Mar. 12 Purchased for cash 404,000 1,627,000 Oct. 4 Sold for $222,000 190,000 1,437,000 Item Section of Statement ofCash Flows Added or Deducted AmountMar. 12: Purchase of fixed asset Investing activities section Deducted $Oct. 4: Sale of fixed asset Investing activities section Added $Gain on sale of fixed asset (assume the indirect method) Operating activities section Deducted $ Creee que es necesario que el mundo cambie para realizar nuevas investigaciones Why does a skunk have very few predators Sunidhi made a study chart about changes in states ofmatter. Which headings best complete the chart?XmeltingsublimationYfreezingdepositionX: Solid Directly to LiquidY: Liquid Directly to SolidOX: Liquid Directly to SolidY: Solid Directly to LiquidO X: Heat Is ReleasedY: Heat Is AbsorbedX: Heat Is AbsorbedY: Heat Is Released Please help me :(!!!!!! Which excerpt from Leslie Marmon Silkos story "The Man to Send Rain Clouds" contains an example of personification? Data was collected on the heights of boys at 12 and 24 months of age. The data is summarized in the following boxplots. Is there more variation in the boys' heights at 12 months or 24 months? Explain how you can tell from the boxplots. A. There is more variation in height at 24 months. The whiskers are more symmetric for the 24-month data, indicating greater spread in the data. B. There is more variation in height at 12 months. The box length is smaller, indicating a smaller interquartile range and greater spread in the data. C. There is more variation in height at 12 months. The whiskers are less symmetric for the 12-month data, indicating greater spread in the data. D. There is more variation in height at 24 months. The box length is longer, indicating a larger interquartile range and greater spread in the data 4x+y=27, 5x-y=18 solve the system of equations Round seeds and yellow seed color are dominant to wrinkled seeds and green seed color. Which Punnett square represents the correct way to set up the cross RRYy RrYY? A 4-column Punnett square has 4 rows. The columns are labeled Upper R Upper Y, Upper R y, r Upper Y, r y. The rows are labeled Upper R Upper Y, Upper R y, r Upper y, r y. A 4-column Punnett square has 4 rows. The columns are labeled Upper R Upper Y, Upper R y, r Upper Y, r y. The rows are labeled Upper R Upper Y, Upper R y, Upper R Upper y, Upper R y. A 4-column Punnett square has 4 rows. The columns are labeled Upper R Upper Y, Upper R Upper Y, r Upper Y, r Upper Y. The rows are labeled Upper R Upper Y, Upper R y, Upper R Upper Y, Upper R y. A 4-column Punnett square has 4 rows. The columns are labeled Upper R Upper Y, Upper R Upper Y, r Upper Y, r Upper Y. The rows are labeled Upper R Upper Y, Upper R Upper Y, Upper R Upper Y, Upper R Upper y. Jordan has a kite with four sides. Two of the sides are 8 inches long. Two of thesides are 12 inches long. What is the perimeter of the kite?The perimeter oft At which values of x does the function F(x) have a vertical asymptote? Checkall that apply,F(x)9(x - 1)(x-8) Which statement best describes the US economy during the late 1940s and 1950s Find the geometric mean of the pair of numbers What type of polynomial is P(x) = 7x3 + 2x2 3x4? The following data were taken from the financial statements of Gates Inc. for the current fiscal year. Property, plant, and equipment (net) $1,412,700 Liabilities: Current liabilities $165,000 Note payable, 6%, due in 15 years 831,000 Total liabilities $996,000 Stockholders' equity: Preferred $4 stock, $100 par (no change during year) $1,494,000 Common stock, $10 par (no change during year) 1,494,000 Retained earnings: Balance, beginning of year $1,594,000 Net income 601,000 $2,195,000 Preferred dividends $59,760 Common dividends 143,240 203,000 Balance, end of year 1,992,000 Total stockholders' equity $4,980,000 Sales $27,384,550 Interest expense $49,860 Assuming that total assets were $5,677,000 at the beginning of the current fiscal year, determine the following. When required, round to one decimal place. (1 16 718 )2.80.5+ 118 What was the Pharoahs most trusted advisor