Betty's grade in science class is affected by the number of missing assignments. The table below shows the science grade percentage for a given number of missing assignments.
Number of missing assignments: 3,5,7,9
Science grade%: 80,70,60,50
The equation for the given table is y=-5x+95. If Betty is missing 15 assignments, what's the [percentage of her grade in science class?

What is the rate of change?

3/2d

DIFFERENTIATE W.R.T. D

3

2

​

≈0.666666667

Answer:

(-2,-4)

Step-by-step explanation:

To find the slope you count down the units on the grid from one point to the other.

Or in this case, -3 minus -1 is -2.

3 minus -1 is -4

Therfore the slope for the line with points (-3, 3) and (-1,-1) is (-2,-4)

Answer:

Step-by-step explanation:

if one bunch is 2.00 dollars

for 8 dollars you will buy 8/2=4 bunches

Answer:

391 × 5 = 1955

621 × 3 = 1863

481 × 7 = 3367

531 × 6 = 3186

981 × 2 = 1962

761 × 9 = 6849

581 × 8 = 4648

431 × 3 = 1293

271 × 4 = 1084

821 × 4 = 3284

Answer:

\(\Large \boxed{\mathrm{A) \ 7}}\)

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions to solve the problem.

tan(θ) = opp/adj

tan(35) = x/10

Multiply both sides by 10.

10 tan(35) = x

x = 7.00207538...

Answer:

may God lay a helping hand

If Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

To show that x is also an eigenvector of QT, we need to demonstrate that QT * x is a scalar multiple of x.

Given that Q is an orthogonal matrix, we know that QT * Q = I, where I is the identity matrix. This implies that Q * QT = I as well.

Let's denote x as the eigenvector corresponding to the eigenvalue λ1 This means that Q * x = λ1 * x.

Now, let's consider QT * x. We can multiply both sides of the equation Q * x = λ1 * x by QT:

QT * (Q * x) = QT * (λ1 * x)

Applying the associative property of matrix multiplication, we have:

(QT * Q) * x = λ1 * (QT * x)

Using the fact that Q * QT = I, we can simplify further:

I * x = λ1 * (QT * x)

Since I * x equals x, we have:

x = λ1 * (QT * x)

Now, notice that λ1 * (QT * x) is a scalar multiple of x, where the scalar is λ1. Therefore, we can rewrite the equation as:

x = λ2 * x

where λ2 = λ1 * (QT * x).

This shows that x is indeed an eigenvector of QT, with the eigenvalue λ2 = λ1 * (QT * x).

In conclusion, if Q is an orthogonal matrix with an eigenvalue λ1 = 1, then x, the eigenvector corresponding to λ1, is also an eigenvector of QT with an eigenvalue λ2 = λ1 * (QT * x).

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We have a total of 10 boys & 8 Girls, then the sample space consist of 18 elements.

P(selecting 1 boy) = (total number of boys/by 18) = P(boy)=10/18=5/9

Answer:

false.........

Step-by-step explanation:

......

Answer:

The correct answers are A and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer:

h = 34.8

Step-by-step explanation:

(20 - 2) × 180 = 3240

3240 ÷ 20 = 162

5h - 12 = 162

+ 12 to cancel out the -

5h = 174

÷ 5 to cancel out 5 × h

h = 34.8

x = -1, y = 1, z = 5

The given equations are:

4x - 2y + 3z = 9..................(1)

x - 2y = - 3............................(2)

2x + 3y = 1............................(3)

Make x the subject of the formula from equation (2)

x - 2y = -3

x = 2y - 3.....................................(4)

Substitute equation (4) into equation (3)

2(2y - 3) + 3y = 1

4y - 6 + 3y = 1

7y = 1 + 6

7y = 7

y = 7 / 7

y = 1

Substitute y = 1 into equation (4)

x = 2(1) - 3

x = 2 - 3

x = -1

Substitute the values of x and y into equation (1)

4x - 2y + 3z = 9

4(-1) - 2(1) + 3z = 9

-4 - 2 + 3z = 9

-6 + 3z = 9

3z = 9 + 6

3z = 15

z = 15 / 3

z = 5

Answer: the answer is B and D I told the test

Step-by-step explanation:

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &18 \end{cases} \\\\\\ 20000=P[1+(0.08)(18)]\implies \cfrac{20000}{1+(0.08)(18)}=P \\\\\\ \cfrac{20000}{2.44}=P\implies 8196.72\approx P\)

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

∠G = ∠E

5x - 9 = 3x + 11

Add 9 to both sides

5x = 3x + 11 + 9

5x = 3x + 20

Subtract 3x from both sides

5x-  3x = 20

2x = 20

Divide both sides by 2

x = 10

∠G = 5x - 9

     = 5*10 - 9

     = 50 - 9

∠G = 41°

∠G = ∠E = 41°

In parallelogram, adjacent angles are supplementary.

∠G + ∠D = 180

41 + ∠D = 180

     ∠D = 180 - 41

   ∠D = 139

∠D = ∠F = 139°

Hey,

27.

3³ = 3.3.3 = 27

Good luck :)

Answer: it’s 27

Step-by-step explanation:

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

LM/PQ = MN/QR = LN/PR because triangle LMN and PQR are similar.

Similar triangles are triangles that have the same shape, but their sizes may vary. The conditions for two triangles to be similar are;

1. The corresponding angles of the similar triangles must be congruent i.e they must be equal.

2. The ratio of the corresponding sides are equal. The corresponding sides are :

LM and PQ, MN and QR , LN and PR

since LM/PQ = MN/QR = LN/PR , then we can say triangle LMN and PQR are similar.

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According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

11324

Step-by-step explanation:

Area= B x H so 149 x 76= 11324

Answer:

The perimeter is 550 meters.

Step-by-step explanation:

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?