Solve 8x - 4y = 16 for y. A. y = 2x - 16 - B. y = -8x+16 C. y = 2x - 4 - D. y = 8x + 4​

9514 1404 393

Answer:

  105

Step-by-step explanation:

The prism width is (1 3/4)/(1/4) = (7/4)/(1/4) = 7 cubes.

The prism length is (1 1/4)/(1/4) = (5/4)/(1/4) = 5 cubes.

The prism height is (3/4)/(1/4) = 3 cubes.

Then the total number of small cubes required to fill the prism is ...

  V = LWH = (5)(7)(3) = 105

It takes 105 small cubes to make the larger prism.

Answer:

I believe its C i saw this yesterday somewhere not 100% sure

Step-by-step explanation:

The radius of the cylinder is 7. 9 in

First, we need to know the formula for volume of a cylinder

The formula for calculating the volume of a cylinder is expressed as;

V = πr²h

Such that the parameters of the formula are expressed as;

From the information given, we have that;

Substitute the values

196 = 3.14 × 1 × r²

Divide both sides by the values

r² = 62. 42

Find the square root of both sides

r = 7. 9 in

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Answer:

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Step-by-step explanation:

To solve this question, we need to understand the Central Limit Theorem and subtraction of normal variables.

Central Limit Theorem

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

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard error is the square root of the sum of the variances:

Of the 193 smokers taking a placebo, 29 stopped smoking by the 8th day.

This means that:

\(p_S = \frac{29}{193} = 0.1503\)

\(s_S = \sqrt{\frac{0.1503*0.8497}{193}} = 0.0257\)

Of the 266 smokers taking only the antidepressant buproprion, 82 stopped smoking by the 8th day.

This means that:

\(p_A = \frac{82}{266} = 0.3083\)

\(s_A = \sqrt{\frac{0.3083*0.6917}{266}} = 0.0283\)

Calculate the estimated standard error for the sampling distribution of differences in sample proportions.

\(s = \sqrt{s_S^2 + s_A^2} = \sqrt{0.0257^2 + 0.0283^2} = 0.0382\)

The estimated standard error for the sampling distribution of differences in sample proportions is 0.0382.

Given the equation

Then

The Correct answer is

Option D 6

Answer:

$15.00 per day and $0.22 per mile.

Step-by-step explanation:

To determine the daily fee and mileage fee charged by Best Rentals, we can set up a system of equations based on the given information.

Let's assume the daily fee is represented by "d" and the mileage fee is represented by "m."

For Mateo:

3d + 300m = 111.00

For Dara:

5d + 600m = 207.00

Now we can solve this system of equations to find the values of "d" and "m."

Multiplying the first equation by 2 to eliminate "m," we get:

6d + 600m = 222.00

Subtracting the second equation from this equation, we have:

(6d + 600m) - (5d + 600m) = 222.00 - 207.00

d = 15.00

Substituting the value of "d" into the first equation, we can solve for "m":

3(15.00) + 300m = 111.00

45.00 + 300m = 111.00

300m = 111.00 - 45.00

300m = 66.00

m = 0.22

Therefore, Best Rentals charges $15.00 per day and $0.22 per mile.

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

-4 - x = -13

Step 2: Solve for x

Add 4 to both sides: -x = -9

Divide both sides by -1: x = 9

Step 3: Check

Plug in x to verify if it's a solution.

-4 - 9 = -13

-13 = -13

Answer:

x = 9.

Step-by-step explanation:

-4 - x = -13

-x = -13 + 4

-x = -9

x = 9.

Answer:

y = - \(\frac{1}{4}\) x

Step-by-step explanation:

y = - \(\frac{1}{4}\) x + 0 ⇒ y = - \(\frac{1}{4}\) x

Answer: The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step-by-step explanation:

Hope this is right!!!!

Answer:

y = 10/1x - 5

Step-by-step explanation:

y=mx+b

m=slope  b=y-intercept

therefore

y=10/1x -5

(10/1 is a fractions just too lazy to make it a fraction on here)

the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

Answer:

\(e^{t}+4e^{-4t}\).

Step-by-step explanation:

To find the Laplace inverse of the above problem, we have to first solve the problem as a partial fraction, hence:

\(\frac{5s}{s^2+3s-4}=\frac{5s}{s^2+4s-s-4} \\\\=\frac{5s}{s(s+4)-1(s+4)}\\\\=\frac{5s}{(s-1)(s+4)}=\frac{A}{s-1}+\frac{B}{s+4}\\\\= \frac{A(s+4)+B(s-1)}{(s-1)(s+4)}\\\\Hence:\\\\\frac{A(s+4)+B(s-1)}{(s-1)(s+4)}=\frac{5s}{(s-1)(s+4)}\\\\A(s+4)+B(s-1)=5s\\\\to\ find \ A,put\ s=1:\\\\A(1+4)+B(1-1)=5(1)\\\\5A=5\\\\A=1\\\\to\ find \ B,put\ s=-4:\\\\A(-4+4)+B(-4-1)=5(-4)\\\\-5B=-20\\\\B=4\\\\Hence:\\\\\frac{5s}{s^2+3s-4}=\frac{1}{s-1}+ \frac{4}{s+4}\\\\\)

\(L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\=e^{t}+4e^{-4t}\)

1 × 18/100 = 12/100(g+11), is the equation. The answer is 12/100 gallons

Answer:

9?

Step-by-step explanation:

Answer:

sorry dont understaand

Step-by-step explanation:

The value of x and y are: x = 5 2/3 and y = 1 1/3

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

The perimeter of a rectangle = 2(l+w)

P = 2(l+w)

P= 2( x+2y +x)

28 = 2(2x+2y)

28 = 4x +4y

divide all by 4

x+y = 7

the perimeter of a triangle = a+b+c

24 = 3x + 3y + 4y

24 = 3x + 7y

relating the two perimeters

x+y = 7 equation 1

3x + 7y = 24 equation 2

x = 7 -y

3( 7 -y) +7y = 24

21 -3y +7y = 24

21 +4y = 24

4y = 3

y = 4/3 = 1 1/3

x+ y = 7

x = 7-4/3

x = (21-4)/3

x = 17/3 = 5 2/3

therefore the value of x = 5 2/3 and y = 1 1/3

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Answer:

660 vibrations

Step-by-step explanation:

sorry if im wrong and have a wonderful day!!!

:)

Answer:

(a) 15 - 4x

(b) 6.6

(c) 5.7143%

Step-by-step explanation:

The given problem is incomplete. Please find attachment of the complete description.

According to the question:

\(f(x)=11-x^2\)

now,

(a)

\(f(a)=11-2^2\)

       \(=7\)

\(f'(x)=-2x\)

\(f'(2)=-4\)

\(f(x)=f(a)+f'(a)(x-a)\)

       \(=7-4(x-2)\)

       \(=7-4x+8\)

       \(=15-4x\)

(b)

\(f(2.1)=15-4\times 2.1\)

         \(=6.6\)

(c)

\(Error=\frac{100\times \left | 6.6-7 \right |}{7}\)

          \(=5.7143\)%

Answer:

She need to divide 24 by 2 to get 12. She can fill 12 tortillas

Step-by-step explanation:

Answer: 907.46

Step-by-step explanation:

The area of the kite is A = 48 units²

Given data ,

Let the area of the kite be represented as A

Now , the value of A is

Let the first diagonal of the kite be d₁ = 12 units

Let the second diagonal of the kite be d₂ = 8 units

Now , Area of kite = ( 1/2 ) d₁ x d₂

On simplifying , we get

A = ( 1/2 ) ( 12 ) ( 8 )

A = 48 units²

Therefore , the value of A is A = 48 units²

Hence , the area of the kite is A = 48 units²

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Answer:

77.53

Step-by-step explanation:

You just have to sum them up

Answer:

i think the answer is 77.53

Step-by-step explanation:

Answer:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

Step-by-step explanation:

Given

Band A:

\(Charges = \$800\) per student

Band B:

\(Charges = \$450\)

\(Rate = \$1.25\) per student

Required

Write an equation for the system?

For band A, the given charges is irrespective of number of students.

So, the total cost y is:

\(y = 800\)

For band B, the total y is calculated as thus:

y = Base Charges + Rate * Number of students (x)

\(y = 450 + 1.25 * x\)

\(y = 450 + 1.25x\)

So, the charges for the bands are:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

Answer:

Slope = 5/4

Step-by-step explanation:

GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.

Answer:

1:72

Step-by-step explanation:

The scale of a drawing is the ratio of the length in the drawing to the real length.

Drawing length: 7 inches

Real length: 42 ft × 12 in. / ft = 504 in.

Scale:

7 in. to 504 in.

Divide both numbers by 7:

1 in. to 72 in.

Scale: 1:72

Answer:

-4

Step-by-step explanation:

The slope of the graph is -4 because to get to the next point from another, you would have to go down 4 and right 1, -4/1 or just -4

Hope this helps.

Answer:

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 120 ounces and a standard deviation of 20 ounces.

This means that \(\mu = 120, \sigma = 20\)

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is

p-value of Z when X = 140 subtracted by the p-value of Z when X = 100.

X = 140

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{140 - 120}{20}\)

\(Z = 1\)

\(Z = 1\) has a p-value of 0.84

X = 100

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{100 - 120}{20}\)

\(Z = -1\)

\(Z = -1\) has a p-value of 0.16

0.84 - 0.16 = 0.68

The probability that a randomly selected infant has a birth weight between 100 ounces and 140 ounces is 68%.

The probability that a randomly selected infant has a birth weight between 110 and 130

This is the p-value of Z when X = 130 subtracted by the p-value of Z when X = 110.

X = 130

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{130 - 120}{20}\)

\(Z = 0.5\)

\(Z = 0.5\) has a p-value of 0.69

X = 110

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{110 - 120}{20}\)

\(Z = -0.5\)

\(Z = -0.5\) has a p-value of 0.31

0.69 - 0.31 = 0.38 = 38%.

The probability that a randomly selected infant has a birth weight between 110 and 130 is 38%.

Answer:

x^3+1/x^3 = x^2

Step-by-step explanation:

If x^2+1/x^2 =1

The equation x^2+1/x^2 =1 states that the sum of the square of x and the reciprocal of x squared is equal to 1. We can multiply both sides of this equation by x(x+1/x) which is x^2 + 1.

This gives us (x^2)(x+1/x) = x^3 + 1/x^3 = 1.

So, x^3+1/x^3 = x^2.

that x^2+1/x^2 =1, we can deduce that x^3+1/x^3 = x^2. This is because we multiplied both sides of the first equation by x^2 + 1/x^2,

which is equal to x^3+1/x^3 = x^2

Answer:

D

Step-by-step explanation:

Scatter plot (Use excel with any bivariate data you can find)

Answer:

Our three numbers are 8, 48, and 16.

Step-by-step explanation:

Let the first, second, and third numbers be x, y, and z, respectively.

The sum of them is 72. In other words:

\(x + y + z = 72\)

The second number y is three times the third number z. So:

\(y = 3z\)

And the third number z is eight more than the first number x. So:

\(z = x + 8\)

To find the numbers, solve for the system. We can substitute the last two equations into the first:

\(x + (3z) + ( x + 8) = 72\)

Substitute again:

\(\displaystyle x + 3(x+8) + x+8 = 72\)

Solve for x. Distribute:

\(x+3x+24+x+8=72\)

Combine like term:

\(5x + 32 = 72\)

Subtract:

\(5x = 40\)

And divide:

\(x=8\)

Thus, the first number is eight.

And since the third number is eight more than the first, the third number z is 16.

The second number is three times the third. Thus, the second number y is 3(16) or 48.

Our three numbers are 8, 48, and 16.