The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if
necessary.
legs: 18 in, and 17 in.
24.8 in.
a.
b.
5.9 in.
c. 27.7 in.
d. 19.5 in.

Answer:

5y + 8 < 23  and y < 3

2c - 3 = 9

Step-by-step explanation:

She bought a jewelry at a craft fair . The necklace is $8 and the bracelet is $5 each. Her total expenses is $23.

She bought a single necklace. The number of bracelet she bought is unknown but each of the bracelet she bought is $5 each. The number of bracelet she bought can be represented below.

Let

y = number of bracelet bought

Therefore, the cost of the total number of bracelet will be 5y

Recall the total expenses is $23

5y + 8 < 23  and y < 3

if you insert the value of y in the following inequalities the resulting value should be less than 23 so the value of y should be less than 3.

2. 2c - 3 = 9

Answer:

the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

Step-by-step explanation:

Given that:

Let A(t) to be the amount of oil in the barrel at time t.

However; Suppose that the amount of oil is decreasing at a rate proportional to the product of the time elapsed and the amount of oil present in the barrel.

Then,

[tex]\frac{dA}{dt} \ \alpha \ A^2[/tex]

[tex]\frac{dA}{dt}= KA^2[/tex]

Initially the 100 -gallon barrel is half-full of oil

So, A(0) = 100/2 = 50

[tex]\frac{dA}{dt}= KA^2 \ \ \ \ \ \ :A(0)=50[/tex]

The variable is now being separated as:

[tex]\frac{dA}{A^2}=kdl[/tex]

Taking integral of both sides; we have:

[tex]\int\limits\frac{dA}{A^2}=\int\limits \ kdt[/tex]

[tex]-\frac{1}{A}= kt +C[/tex]

However; since A(0) = 50; Then

t = 0  ; A =50 in the above equation

[tex]-\frac{1}{50}= 0 +C[/tex]

[tex]C = - \frac{1}{50}[/tex]

Thus; the mathematical model is : [tex]-\frac{1}{A}= kt - \frac{1}{50}[/tex]

Answer:

Population: all company employees.

Sample: arrival times of the employees during the data collection.

Step-by-step explanation:

In this case, the population is the group about which the company wants to estimate a parameter (proportion of employees who are at least 1 minute late for work). This group is all employees of the company.

The sample is comprised of the arrival times of the individuals who went to work during the data collection by the entry time recording machine. The proportion of the sample is calculated on these arrival times, with which the proportion of the population will be inferred.

Answer:

41

Explanation:

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

9, 17, 25, 33,...

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

9 - first term

17 - second term

17 - 9 = 8

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

9, 17, 25, 33,...

9 + 8 = 17

17  + 8 = 25

25 + 8 = 33

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

9, 17, 25, 33,...

33 + 8 = 41

9, 17, 25, 33, 41,...

Therefore, the next term in the arithmetic sequence is 41.

Answer:

42,996

Step-by-step explanation:

3*16+4*25+2*33=48+100+66=214

Answer:

C.

Repeat this experiment with a very large sample of people and calculate the percentage of people who make four correct guesses out of six tries

Step-by-step explanation:

Why I choose the answer c is because for this kind of experiment to determine probability..it needs to be tested on variety of people as different people have different taste issue.

Trying it on one person alone will accumulate much error that will be very hard and uneasy to detect.

Answer: Liquid B is warmer.

Step-by-step explanation:

The data that we have is:

Temperature A = -105.4° C

Temperature B = -10.83° C

We want to know which liquid is warmer, this is equivalent to see which temperature is bigger, Ta or Tb.

Now, you can see that temperature A is larger in module, but this is a negative number.

When we work with negative numbers, the bigger ones are the ones closer to zero. This means that for example, -1 is larger than - 150.

From this, we can conclude that Liquid B is warmer.

Another way to see it is with a change of units.

If we have A degrees Celcius, and we want to to transform it into Kelvins, we must add 273.15°.

Then we have:

Ta = (-105.4° + 273.15°) K = 167.75 K

Tb = (-10.83 ´273.15°) = 262.35 K

where you can see that liquid B has a larger temperature.

Answer:

Liq A= -105.4ºC < LiqB= -10.83ºC

Step-by-step explanation:

Hello!

The easiest and quickest way to compare two negative values and determine which one is greater is by sorting them in a number line. (Check attachment)

You can also compare the absolute value of the temperature measurements. |10.83| < |105.4|. As the negative value decrease, the absolute value increases.

So the temperature of Liquid B > Temperature of liquid A.

I hope this helps!

Answer:

12x2

Step-by-step explanation:

Answer:

13 ppl choose both

Step-by-step explanation:

Hello,

In a restaurant 40% of the customers choose Chinese food

while 65% opt for Pakistani food.

if the restaurant is visited by 260 people then how many opt for both ?

There are 260 people we need to compute

40% of 260 = 40*260/100 = 104 to know the customers choosing Chinese food

65% of 260 = 65 * 260/100 = 169  to know the customers choosing Pakistani food

There are ppl choosing both Chinese and Pakistani, let s note x

we can say that 104 + 169 -x = 260

so x = 273-260=13

in conclusion, 104-13=91 ppl choose Chinese food only

169-13=159 ppl choose Pakistani food only

13 ppl choose both

in total there are 91 + 159 + 13 = 260

hope this helps

The number of people who opt for both Chinese and Pakistani food is 13.

We have,

Let's denote the number of people who choose Chinese food as "C" and the number of people who choose Pakistani food as "P".

We are given that 40% of the customers choose Chinese food, which means

C = 40% of 260.

C = 0.4 * 260

C = 104

Similarly, we are given that 65% of the customers opt for Pakistani food, which means

P = 65% of 260.

P = 0.65 * 260

P = 169

Now, we need to determine the number of people who opt for both Chinese and Pakistani food.

To find this, we can use the principle of inclusion-exclusion.

The total number of people who opt for both is given by:

Total = C + P - Both

We know that the total number of customers is 260, so:

260 = 104 + 169 - Both

Rearranging the equation to solve for Both:

Both = 104 + 169 - 260

Both = 273 - 260

Both = 13

Therefore,

The number of people who opt for both Chinese and Pakistani food is 13.

Learn more about percentages here:

https://brainly.com/question/11403063

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Answer:

Sin(2x)+sin(x)+cos(2x)-1

Step-by-step explanation:

Answer:

Ground distance of Bob  from his friends house = 61 ft (Approx)

Step-by-step explanation:

Given:

Length of string = 75 ft

Angle with the ground = 35°

Find:

Ground distance of Bob  from his friends house.

Computation:

Using trigonometric application:

⇒ Cos [tex]\theta[/tex] = Base / Hypotenuse

⇒ Cos 35° = Base / 75

⇒ 0.819 = Base / 75

⇒ Base = 61.425 ft

Ground distance of Bob  from his friends house = 61 ft (Approx)

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

[tex]y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.[/tex]

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

Answer:

18

Step-by-step explanation:

Even if we both break down tonight

And you say you hate me

And we go to bed angry

I know everything will be alright

I'll be here waiting

I promise I'm changing

I just need

A little time to show you I'm worth it

I know that I can be a difficult person

I'm a stress case drive you up the wall when I'm workin'

Actually I'm prolly worse when I'm not you don't deserve it

Make you nervous 'cause you know I'ma break soon

Every time I do I say something that hurts you

Actin' like I'm gone, but we both in the same room

I don't like to be wrong which I know you relate to

And I know I make you feel like you're at the end of your road

That's when I look at you and tell you I'd be better alone

That's just the pride talkin' isn't it cause both of us know

Answer:

B. h(x) = 2x^2 - 3x + 3

Step-by-step explanation:

Given

f(x)=3x+5

g(x)=2x^2 - 6x - 2

h(x) is sum of the functions f(x) and g(x)

Thus,

h(x) = f(x) + g(x)

substituting value of f(x) and g(x) as given above we have

h(x) = 3x+5 + 2x^2 - 6x - 2

as ( 3x - 6x = -3x and 5- 2 = 3) , we have

h(x) = 2x^2 -3x + 3

Thus, correct answer is option  B. h(x) = 2x^2 - 3x + 3.

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]4x + 4 = -7 +2x +19[/tex]

[tex]4x + 4 = 2x +12[/tex]

[tex]4x-2x=12-4[/tex]

[tex]2x=8[/tex]

[tex]x=8 \div 2[/tex]

[tex]x=4[/tex]

Step 1: Simplify both sides of the equation.

4x+4=−7+2x+19

4x+4=(2x)+(−7+19)(Combine Like Terms)

4x+4=2x+12

4x+4=2x+12

Step 2: Subtract 2x from both sides.

4x+4−2x=2x+12−2x

2x+4=12

Step 3: Subtract 4 from both sides.

2x+4−4=12−4

2x=8

Step 4: Divide both sides by 2.

2x/2 = 8/2

Description:

The first step is to Simplify both sides of the equation, when you do it correct and follow the steps above you equation will end up 4x+4=2x+12. For steps 2 Subtract 2x from both sides, when you do it correct your equation will end up like 2x+4=12. For step 3 you  Subtract 4 from both sides, when you do it correct equation will end up like 2x=8. Last step is to Divide both sides by 2, when you do it correct your answer will come as x=4 .

Answer:  x=4

Please mark brainliest

Hope this helps.

Answer:

60 foot

Step-by-step explanation:

Just multiply by 10?

Answer:

a) January 24(24 de Enero)

b) Paula will have made 5 visits(Paula habrá hecho 5 visitas). Mario will have made 4 visits(Mario habrá hecho 4 visitas).

Step-by-step explanation:

When two events, A and B, happen every x and y days, respectively, they will happen on the same day in each lcm(x,y) days. lcm(x,y) is the lesser common multiple of x and y which is not 0.

In this question:

Paula each 5 days

Mario each 6 days

Multiples of 5: {0, 5, 10, 15, 20,25,30, ...}

Multiples of 6: {0, 6, 12, 18, 24, 30, ...}

a) ¿Cuándo volvieron a coincidir?

lcm(5,6) = 30

30 days from December 24, which is January 24(24 de Enero).

b) ¿Cuántas visitas habrá hecho cada uno?

Paula visits each 5 days.

30 is 6th non-zero multiple of 5. This means that on January 24 will be her 6th visit. So she will have made 5 visits.

30 is the 5th non-zero multiple of 6. This means that on January 24 will be her 5th visit. So he will have made 4 visits.

Answer:

(See explanation below for further details)

Step-by-step explanation:

Any point in rectangular form can be described in terms of radius and angle of the circle. That is:

[tex]P = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Since circunference is divided into 8 equal parts, the point can be modelled as:

[tex]P = (r\cdot \cos \frac{2\pi\cdot n}{8}, r \cdot \sin \frac{2\pi\cdot n}{8} )[/tex]

The approximate radian and degree values for one circle are:

Radians

[tex]0 (0), \frac{\pi}{4} (0.785), \frac{\pi}{2} (1.571), \frac{3\pi}{4} (2.355), \pi (3.142), \frac{5\pi}{4} (3.925), \frac{3\pi}{2} (4.71), \frac{7\pi}{4} (5.495), 2\pi (6.280)[/tex]

Degrees

[tex]0^{\circ}, 45^{\circ}, 90^{\circ}, 135^{\circ}, 180^{\circ}, 225^{\circ}, 270^{\circ}, 315^{\circ}, 360^{\circ}[/tex]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

[tex]E(X)=n\cdot p=100\cdot 0.71=71[/tex]

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

[tex]V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59[/tex]

Then, the standard deviation becomes:

[tex]\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538[/tex]

The different transformations have been matched to their respective operations below.

Parent function is given as: f(x) = 2x - 6

Thus, the transformations are:

When f(x) shifts 4 units down, we have;

f(x) → f(x) - 4

⇒ g(x)= 2x - 6 - 4 = 2x - 10

When it stretches f(x) by a factor of 4 away from the x-axis;

f(x) → 4*f(x)

⇒ g(x) = 4(2x - 6) = 8x - 24

When it shifts f(x) 4 units right;

f(x) → f(x - 4)

⇒ g(x) = 2(x - 4) - 6 = 2x - 14

When it compresses f(x) by a factor of 4 toward the y-axis;

f(x) → f(4x)

⇒ g(x) = 2*4x - 6 = 8x - 6

Read more about Transformations at; https://brainly.com/question/4289712

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Step-by-step explanation:

wait a person was about to report it sorry ;/

had to take it off

Answer:

speed = distance ÷ time

6÷2 = 3

his speed is 3 miles per hour

he can cover 3 more miles....

Answer:

  15x+10

Step-by-step explanation:

The area of a rectangle is given by the formula ...

   A = LW

Fill in the given values and simplify.

  A = (3x+2)(5)

  A = 15x +10

The area of the rectangle is 15x+10.

Answer:

[tex]15x + 10[/tex]

Step-by-step explanation:

[tex]area = length \times width \\ = 3x + 2 \times 5 \\ = 5(3x + 2) \\ = 15x + 10[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

Step-by-step explanation:

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.

In this question, we have that:

[tex]\mu = 116, \sigma = 16[/tex]

What are the z scores that separate the unusual IQ scores from those that are​ usual?

If Z<-2 or Z > 2, the IQ score is unusual.

So the z-scores that separate the unusual IQ scores from those that are​ usual are Z = -2 and Z = 2.

What are the IQ scores that separate the unusual IQ scores from those that are​ usual?

Those IQ scores are X when Z = -2 and X when Z = 2. So

Z = -2

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

[tex]-2 = \frac{X - 116}{16}[/tex]

[tex]X - 116 = -2*16[/tex]

[tex]X = 84[/tex]

Z = 2

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

[tex]2 = \frac{X - 116}{16}[/tex]

[tex]X - 116 = 2*16[/tex]

[tex]X = 148[/tex]

The IQ scores that separate the unusual IQ scores from those that are​ usual are 84 and 148.

Answer:

[tex]\mu -2*\sigma = 116-2*16= 84[/tex]

[tex]\mu +2*\sigma = 116+2*16= 148[/tex]

Step-by-step explanation:

We know that the distirbution for the IQ have the following parameters:

[tex]\mu=116, \sigma=16[/tex]

The z score is given by this formula

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

And replacing the limits we got:

[tex] X = \mu \pm z \sigma[/tex]

For this case we know that a value to be unusual if its z score is less than minus2 or greater than​ 2, so then we can find the limits with this formulas:

[tex]\mu -2*\sigma = 116-2*16= 84[/tex]

[tex]\mu +2*\sigma = 116+2*16= 148[/tex]

Answer:

An acute angle is an angle that has a measure that is less than 90 degrees. Any measure that is less than 90 degrees could be an acute angle. For example, 8°, 15°, °26°, and 89° are all acute angles. Anything that is 90 degrees is a right angle and greater than 90 degrees is an obtuse angle. An acute angle can have all of the following measures except 90 degrees or greater than 90 degrees.

Answer:

0 is not an acute angle

Step-by-step explanation:

if the measurement of an angle is between 0 and 90 degrees then we called it an acute angle. it means acute angle is greater than 0 and less than 90 degrees. among the the other options it is between 0 and 90 therefore 0 is not it

hope this helps

Answer:

Beginning Cash balance was $4,640.

Step-by-step explanation:

Net cash flow from operating activities =      $19,600

Net cash flow used in investing activities = ($10,800)

Net cash provided by financing activities =  $12,960

Net increase in cash                                      $21,760

Beginning cash balance = Closing balance  ($26,400) less net increase in cash ($21,760)  = $4,640

The increase in cash represents the cash that was generated from operating, investing, and financing activities.  These three activities are the classifications of an entity's activities.  Operating activities are those activities that are normal to the business, i.e. activities the business undertakes under its mission.  The investing activities arise from the purchase and sale of investments.  These are not normal activities of most entities, except investment companies.  Financing activities are activities engaged by an entity to raise finance, including the repayment of the borrowed funds plus interest.