Answer:
32 inches
Step-by-step explanation:
12 feet = 144 inches
7 feet = 84 inches
144 - 84 - 28 = 32
Answer:
32 inches
Step-by-step explanation:
1 feet= 12 inches
12×12 =144
7 feet- 12×7 =84
so ruth has 12 inches and she gives her sister 28
144-(84+28)
144-112
=32 inchey
ruth has left 32
hope it helps
can you mark me as the brainliest?
Identify the function that best models the given data
Answer:
f(x) ≈ 58.20x2 + 18.96x + 34.46
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
113 − 34 = 79
304 − 113 = 191
615 − 304 = 311
1042 − 615 = 427
1584 − 1042 = 542
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
191 − 79 = 112
311 − 191 = 120
427 − 311 = 116
542 − 427 = 115
The second differences are approximately the same so we will use a quadratic function to represent the data.
Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.
f(x) ≈ 58.20x2 + 18.96x + 34.46
Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)
The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
How to determine the function?For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:
(h,k) = (0,y)
A quadratic function is represented as:
f(x) = (x - h)^2 + k
So, we have:
f(x) = (x - 0)^2 + k
Evaluate
f(x) = x^2 + k
From the list of options, we have:
f(x) = (x - 2)(x + 2)
Expand
f(x) = x^2 - 4
Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
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You randomly select a coin from a jar containing 30 coins: 8 pennies, 10 nickels, 7 dimes, and 5 quarters.
What is the probability of:
selecting a penny?
selecting a nickel?
not selecting a dime?
selecting a dime or a quarter?
The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
ProbabilityFrom the formula for probability,
[tex]P(A) = \frac{Number\ of\ favourable\ outcomes\ to\ A}{Total\ number\ of\ possible\ outcomes}[/tex]
Total number of possible outcomes = 30
The probability of selecting a penny[tex]P(penny) = \frac{8}{30}[/tex]
[tex]P(penny) = \frac{4}{15}[/tex]
The probability of selecting a penny is 4/15
The probability of selecting a nickel[tex]P(nickel) = \frac{10}{30}[/tex]
[tex]P(nickel) = \frac{1}{3}[/tex]
The probability of selecting a nickel is 1/3
The probability of selecting a dime[tex]P(dime) = \frac{7}{30}[/tex]
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarterFirst, we will calculate the probability of selecting a quarter
[tex]P(quarter) = \frac{5}{30}[/tex]
[tex]P(quarter) = \frac{1}{6}[/tex]
Then, the probability of selecting a dime or a quarter is
[tex]P(dime \ or \ quarter) = \frac{7}{30}+ \frac{1}{6}[/tex]
[tex]P(dime \ or \ quarter) = \frac{7+5}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{12}{30}[/tex]
[tex]P(dime \ or \ quarter) = \frac{2}{5}[/tex]
The probability of selecting a dime or a quarter is 2/5
Hence,
The probability of selecting a penny is 4/15
The probability of selecting a nickel is 1/3
The probability of selecting a dime is 7/30
The probability of selecting a dime or a quarter is 2/5
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Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?
Answer: 10 Slices
Step-by-step explanation:
10 slices of cheese is about $0.24 a slice.
12 Slices of cheese is about $0.26 a slice.
So 10 slices is the better deal.
Write the expression as a decimal number.
6 × 1 + 1 × 1/10+ 8 × 1/100 + 6 × 1/1000 =
Answer:
=6.186
explanation;
first divide then u will get this
6+1×0.1+8×0.01+6×0.001
second multiply then you will get this
6+0.1+0.08+0.006
third you will get the answer which is
=6.186
Mike has 5 candy bars he wants to cut into 1/4 pieces to give to his friends. If he cuts all 5 candy bars into equal 1/4 portions,how many pieces does he have to give to people?
Answer: 20
Step-by-step explanation:
1 candy into 1/4 is 4 pieces
5candy will be 20 pieces
2 inches Problem 2: = 2 On the map the scale is 5 inch = 25 miles. How many miles would it be to travel 8 - inches on the map? Problem 3:
Answer:
Map Scale Equivalents
Map Scale Miles to Inches
1:100,000 1.6 miles = 1 inch
1:126,700 2 miles = 1 inch
1:150,000 2.4 miles = 1 inch
1:200,000 3 miles = 1 inch
Step-by-step explanation:
Which table represents a linear function?
x 1 2 3 4 5
y 5 10 15 20 25
x 1 2 3 4 5
y 5 20 45 80 125
x 1 2 3 4 5
y 5 25 125 625 3,125
x 1 2 3 4 5
y 2 4 8 16 32
Answer:
x 1 2 3 4 5
y 5 10 15 20 25
in x =n+1
in y=5n
What is the scale factor of the dilation?
Step-by-step explanation:
ANSWER MY RECENT question
Josephine can correct her students test papers in 5 hours, but if her teacher’s assistant helps, it would take them 3 hours. How long would it take the assistant to do it alone?
7 hours 30 minutes
Sure hope this helps you :D
If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.
What is average?An average is basically total sum divided by number whose sum is found. Average= sum/n.
How to calculate time?Josephine takes 5 hours to correct her students test papers.
Josephine and assistant takes 3 hours to correct papers.
Let the test paper contains 100 questions.
In 1 hour Josephine checks 100/5 =20 questions per hour.
In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.
In 1 hour assistant checks 33.33-20=13.33 questions.
Time taken by assistant to try to to work alone=100/13.33=7.5 hours.
Hence to try to to the work alone the assistant takes 7.5 hours.
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Solve the equation by using the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greatest, separated by a comma, if necessary. If there are no real solutions, write no solutions.
-3x2=8x−12
Answer:
x = −3.737034184 or 1.070367517
Step-by-step explanation:
This is my working for this question
−3x^2−(8x−12)=8x−12−(8x−12)
−3x^2−8x+12=0 // first make it =0
Now we know a=-3, b=-8, c=12
then use quadratic formula for answer
x = −3.737034184 or 1.070367517
Work out the perimeter of a quarter circle that has the diameter of 7cm
Answer:
Perimeter = 12.5 cm
Step-by-step explanation:
Perimeter of quarter cirlce:d = 7 cm
[tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]
[tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]
Perimeter = radius + radius + circumference of quarter circle
= diameter + circumference of the quarter circle.
= 7 + 5.5
= 12.5 cm
Answer:
24.997
Step-by-step explanation:
its actually really hard for me to explain im sorry i only know the answer-
?Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, Six, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
What is the constant of proportionality that relates the distance traveled, y, to the elapsed time in seconds, x, represented by this data?
The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
Let x be the time and y be the distance.
Let the distance and time be linear to each other. Then the linear equation is given as
y - 36 = [(36 - 18) / (6 - 3)] (x - 6)
y - 36 = 6 (x - 6)
y = 36 + 6x - 36
y = 6x
Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
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39 is 50% of what number?
A. 19.5
B. 64
C. 68
D. 78
Answer:
A-19.5
Step-by-step explanation:
You take 39 and times it by 50%
The divide 50 by 100
39 times 50/100
=19,5
Answer:
D. 78
Step-by-step explanation:
find the value of x and y in the figures below.
Answer:
1 ) x = y = 9
2 ) x = 5, y = 25
3 ) x = 15, y = 9
4 x = 30, y = 15
Step-by-step explanation:
1 )
The shape is parallelogram.
In parallelogram, alternate interior angles are equal.
9x and 45 are alternate interior angles.
So,
9x = 45
Divide 9 on both sides,
x = 45 / 9
x = 5
In square, opposite side lengths are equal.
2y = 18
Divide 2 on both sides,
y = 18 / 2
y = 9
2 )
The shape is parallelogram.
In parallelogram, the sum of adjacent angles are 180.
In parallelogram, opposite angles are equal.
5y and 55 are adjacent angles,
5y + 55 = 180
5y = 180 - 55
5y = 125
Divide 5 on both sides,
y = 125 / 5
y = 25
11x and 55 are opposite angles,
11x = 55
Divide 11 on both sides,
x = 55 / 11
x = 5
3 )
The shape is parallelogram.
In parallelogram, alternate interior angles are equal.
2x and 30 are alternate interior angles,
2x = 30
Divide 2 on both sides,
x = 30 / 2
x = 15
x + y and 24 are also alternate interior angles,
x + y = 24
15 + y = 24
y = 24 - 15
y = 9
4 )
The shape is a square.
Square is also a parallelogram.
All the four angles in a square are 90 and are equal.
So,
3x = 90
Divide, 3 on both sides,
x = 90 / 3
x = 60
6y = 90
Divide 6 on both sides,
y = 90 / 6
y = 15
helpppppppppppppppppp 25 points
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Things we need to keep in mind in order to plot a point :
x - coordinate of the point shows its distance from origin in horizontal direction. y - coordinate of the point shows its distance from origin in vertical direction.Signs of the coordinates shows which side it lies on.
if x coordinate is positive then the point lies on right side of y - axis and if it is negative then it lies on left side of y - axis.similarly,
if y coordinate is positive then the point lies above the x - axis , and if it's negative then it lies on down the x - axis.Now, let's proceed ~
First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.
So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.
( 7k^8m) ( k^13m^7)÷(14k^20 m^9)
Answer:
k=9
Step-by-step explanation:
Here's how to solve this equation
Step 1: -7(k+9)=9(k-5)-14k
Step 2: -7k-63=(9k-45)-14k
Step 3: -7k-63=-5k-45
Step 4: -7k=-5k+18
Step 5: -2k=18
Solution: k=-9
Good luck on your assignment, hope this helps
The area of the triangle below is 14.25 square feet. What is the length of the base?
Answer:
5.7 feet
Step-by-step explanation:
Given:
[tex]\text{Height of triagle: 5 ft}[/tex]
Formula;
[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the formula;
[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
Use cross multiplication;
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
Simplify the left hand side;
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
[tex]\implies28.5= \text{Base} \times 5[/tex]
Divide both sides of the equation by 5;
[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]
[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]
Therefore, the measure of the base is 5.7 feet.
Answer:
5.7 feet
Step-by-step explanation:
The area formula for a triangle: A=(1/2) Base x Height
1. What we know: 14.25=(1/2)Base x 5
2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.
3. The last thing we have to do is divide 5: 5.7=base.
4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25
Help (again) (Brainly wont let me post without 20 chars so filling in gaps)
Step-by-step explanation:
[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]
write the coordinate pair for L
Answer:
Step-by-step explanation:
L can be 1/3, 1/3
Find the slope of the line y=1/6x+3/2
Answer: slope = 1/6
Reason:
The given equation is in slope-intercept form y = mx+b
m = 1/6 = slope
b = 3/2 = y intercept
i need help with this please.
Answer:
1) 4*(-2)-3=-11
2) 5(0+1)=5*1=5
3) 3*-9+4=-23
4)(12-1)6=66
5) -7*(-1)=7
Step-by-step explanation:
What is the product of the difference between 12 and 3 and the quotient of 12 and 3
Answer: 12 divided by 3 equals 4
Step-by-step explanation: this should answer your question if not, then please feel free to message me.
According to the given information, the difference between 12 and 3 is 9 and the quotient of 12 and 3 is 4. Hence, the Product of the difference and the quotient is 36.
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
To find the product and quotient you mentioned,
Break it down step by step.
First, let's find the difference between 12 and 3.
The difference is the result of subtracting one number from another. So,
12 - 3 = 9.
Next, let's find the quotient of 12 and 3.
The quotient is the result of dividing one number by another. So,
12 ÷ 3 = 4.
Finally, to get the product of the difference and the quotient,
We multiply them together.
In this case,
9x4 = 36.
Hence, the product of the difference between 12 and 3 and the quotient of 12 and 3 is 36.
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* (10) If the point (3,a) lies on the graph of the linear relation
described by the equation y=9-4%, determine the
value of a.
Explanation:
The point (3,a) means that x = 3 and y = a pair up together
Plug in those values and compute 'a'
y = 9-4x
a = 9-4(3)
a = 9-12
a = -3
The point (3, a) updates to (3, -3)
The point (3, -3) is on the line y = 9-4x
need help asap pls!
Find the radius, diameter, area, and circumference of the circle
shown:
Step-by-step explanation:
Diameter =30
radius=30/2=15
area =πr²
=π×15²
= π×(15)(15)
=225π cm² or 706.95cm²
circumference C=πD
C=3.142×30cm
C=30πcm or 94.26cm
What is the midpoint of AB?
Answer:
hence the midpoint of AB is 1/2,1
Step-by-step explanation:
[tex]midpoint \: of \: ab = ( \frac{ - 2 + 3}{2} )( \frac{5 - 3}{2} ) \\ = ( \frac{1}{2} )(1)[/tex]
The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are false? (4 points)
I The distribution of the sample mean is exactly Normal.
II The distribution of the sample mean is approximately normal.
III The standard deviation is equal to that of the population.
IV The distribution of the population is exactly Normal.
I and II
I only
II and III
II only
The option that is correct about the central limit theorem is D (II only).
What is the Central Limit theorem?According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.
As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).
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The plots in A-D all show ____________ correlation.
Answer:
Positive corralation
Step-by-step explanation: Algebra 1A-B
An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s? 2 < s < 18 6 < s < 12. 8 s < 2 or s > 18 s < 6 or s > 12. 8.
Answer:
Step-by-step explanation:
Method
The smallest the third side can be is something just larger than 2
You get 2 by subtracting10 and 8. The third side is just a bit larger. 8 and 2 will make up the length of 10 so you cannot use 2 itself
The largest value possible is just under 18. You get 18 by adding 8 and 10 together. So to get a triangle, you need just under 18.
Answer
2<s<18
A
Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,595.85. how much was vanessa’s down payment?
Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.
Calculation of down paymentFirst, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or balance after deducting vanessa’s down payment = ?
P = Monthly payment = $1,595.85
r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333
n = number of months = 30 * 12 = 360
Substitute the values into equation (1), we have:
PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55
Now, the amount of vanessa’s down payment can be calculated as follows:
Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45
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