Evaluate y = ex + 1 for the following values of x. Round to the nearest thousandth.

x = −2, y ≈ x = 1, y ≈ x = 2, y ≈

Answer:

11x-2

Step-by-step explanation:

(3x2 - 4x + 6) + (7x - 2) This is the breakdown. (6 4x + 6)= 4x. + (7x-2) = 11x-2

Answer: 24

Step-by-step explanation: 6 x 4 = 24
24 - 8 = 16

Answer:inversely proportional

Step-by-step explanation:

As the value of x increase the value of y decrease

The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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Answer:

Step-by-step explanation:

The perimeter of the shape is 10 inches.

It's important to note that the perimeter of a shape or calculated by adding all the sides together.

In this case, this is a rectangle and the perimeter will be:

Perimeter = 2(length + width)

Length = 4 inches

Width = 1 inch

Perimeter = 2(length + width)

Perimeter = 2(4 + 1)

Perimeter = 10 inches.

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Answer:

431 mi

Step-by-step explanation:

276 mi = 0.64 x total distance

---> total distance = 276 mi / 0.64 = 431 mi

Answer:

vetting L yenigun . mero stari bonjeria

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer:

121 sweets

Step-by-step explanation:

David is the first 4 in the ratio 4:3:4. We know that David gets 44 sweets. We also know that Paul gets 44 sweets because he is the other 4 in the ratio. To find out how many sweets 3 is equal to, you need to find the unit rate. To do this, you can divide 44 by 4 to know how much 1 equals. When you divide 44/4, you get 11. This means that 1 is 11. To find out what three is, you can multiply 11 by 3 to get 33. The question asks how many sweets are there altogether, so you must add 44+33+44. This equals 121.

The width of the picnic area in scale drawing is 91 inches.

The scale of the drawing was 13 inches : 6 yards.

The picnic area is 42 yards wide in real life.

The width of the picnic area in drawing is as follows:

Therefore,

6 yards = 13 inches

42 yards = ?

cross multiply

Hence,

width of the picnic in the scale drawing = 42 × 13 / 6

width of the picnic in the scale drawing = 546 / 6

width of the picnic in the scale drawing = 91

width of the picnic in the scale drawing = 91 inches

Therefore, the width of the picnic area in scale drawing is 91 inches.

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Answer:

The answer is 42/19 or 2 4/19

Step-by-step explanation:

You have to divide 7 by 19/6. I say "19/6" because that's an improper fraction. You do " 7/1 divided by 19/6". Then you do KCF (Keep Change Flip). So you do "7/1 times 6/19". So now you just multiply across. And there's your answer (42/19) If you want to do a mixed number then you get 2 4/19.

Answer

\(3 \frac{5}{6} \)

Step by step explanation

\(7 = 6 \frac{6}{6} \)

\(6 \frac{6}{6} - 3 \frac{1}{6} = 3 \frac{5}{6} \)

Answer:

288.68 square millimeters

288.68 square millimeters or  1703.12 square millimeters

Answer:

See explanation

Step-by-step explanation:

Given

\(M \to\) randomly selecting a male

\(B \to\) randomly selecting someone with blue eyes

Solving (a): Interpret P(M|B)

The above implies conditional probability

The interpretation is: the probability of selecting a male provided that a person with blue eyes has been selected

Solving (b): is (a) the same as P(B|M)

No, they are not the same.

The interpretation of P(B|M) is: the probability of selecting a person with blue eyes provided that a male has been selected

Result:

Mickey and Minnie Mouse will need to put $680.75 into their escrow account each month to cover the property taxes, homeowner's insurance, and flood insurance costs.

An escrow account is like a savings account that is managed by a mortgage servicer. The portion deposited into an escrow account usually covers estimated property taxes and your homeowners and mortgage insurance premiums.

To calculate the monthly amount Mickey and Minnie Mouse need to put into their escrow account for property taxes, homeowner's insurance, and flood insurance, we will first add up the total annual costs for these expenses:

Property taxes: $5,467

Homeowner's insurance: $1,440

Flood insurance: $1,262

Total annual costs = $5,467 + $1,440 + $1,262 = $8,169

Next, we divide the total annual costs by 12 to get the monthly escrow amount:

$8,169 / 12 = $680.75

Therefore, $680.75 is the amount they will need to put into their escrow account each month.

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Answer:

33

Step-by-step explanation:

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:-12y -7

Step-by-step explanation: I think

Answer:

-12y - 7

Step-by-step explanation:

x = -2y

6x - 7 or 6(-2y) - 7

-12y - 7

Answer:

Each tile would be 8.5 in

Step-by-step explanation:

Area of parallelogram is A=bh, so 4.25*2= 8.5

The correlation coefficient between X and Y is Corr(X, Y) = 0.

To calculate the marginal distribution of X and Y, we need to integrate the joint probability density function (PDF) over the appropriate ranges.

a. Marginal distribution of X:

To find the marginal distribution of X, we integrate the joint PDF over the range of Y:

∫[0, 1] J(x, y) dy

Since the joint PDF is defined as J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1 and J(x, y) = 0 otherwise, the integral becomes:

∫[0, x] 1 dy = x, for 0 ≤ x ≤ 1

So, the marginal distribution of X is simply X(x) = x for 0 ≤ x ≤ 1.

b. Expectation of X:

The expectation (mean) of X can be calculated as the integral of x times the marginal PDF of X:

\(E(X) = ∫[0, 1] x * X(x) dx = ∫[0, 1] x^2 dx = [x^3/3] from 0 to 1 = 1/3\)

Therefore, the expectation of X is E(X) = 1/3.

c. Variance of X:

The variance of X can be calculated using the formula:

\(Var(X) = E(X^2) - (E(X))^2E(X^2) = ∫[0, 1] x^2 * X(x) dx = ∫[0, 1] x^3 dx = [x^4/4] from 0 to 1 = 1/4Var(X) = 1/4 - (1/3)^2 = 1/4 - 1/9 = 5/36\)

Therefore, the variance of X is Var(X) = 5/36.

d. Covariance of X and Y:

The covariance of X and Y can be calculated as:

Cov(X, Y) = E(XY) - E(X)E(Y)

Since the joint PDF J(x, y) = 1 for 0 ≤ y ≤ x ≤ 1, the integral becomes:

\(E(XY) = ∫[0, 1] ∫[0, x] xy dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

\(E(X) = 1/3 (from part b)E(Y) = ∫[0, 1] ∫[0, x] y J(x, y) dy dx = ∫[0, 1] [(x^2)/2] dx = [(x^3)/6] from 0 to 1 = 1/6\)

Cov(X, Y) = 1/6 - (1/3)(1/6) = 0

Therefore, the covariance of X and Y is Cov(X, Y) = 0.

e. Correlation coefficient between X and Y:

The correlation coefficient can be calculated using the formula:

Corr(X, Y) = Cov(X, Y) / √(Var(X) * Var(Y))

Since the covariance of X and Y is 0, the correlation coefficient will also be 0.

Therefore, the correlation coefficient between X and Y is Corr(X, Y) = 0.

f. Conclusion based on the correlation coefficient:

The correlation coefficient of 0 indicates that there is no linear relationship between X and Y. In this case, the fraction of male runners (X) and the

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Answer:

32x-9

Step-by-step explanation:

(45x−5)−(13x+4)

Subtract the like terms: 45x with 13x since they both have x and -5 and 4. 45x-13x=32x ; -5-4=9

Put them together: 32x-9

Answer:

option b

Step-by-step explanation:

x is greater than or equal to 66

Answer:

Option B

Have a nice day! :)

Answer: 84

Step-by-step explanation:

4 x 21 is 84 a fraction can be simplified and be a whole number so if 84 divided by 4 it will be 21 if you want to write it as a fraction it will be 21/1 which is equal to 21

Did it help? :)

Answer:

- \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Step-by-step explanation:

Which number is closer to 0, meaning that number is bigger.

-9/10 = -0.9

-10/10 = -1

We see -0.9 is closer to 0, meaning it is bigger.

So,  - \(\frac{9}{10}\) > - \(\frac{10}{10}\)

Answer:

a) 7. (b) 1. (c) 11

Step-by-step explanation:

360/30-1=11

360/45-1=7

360/1801=1

Answer:

yes

Step-by-step explanation:

the x and y relationship is 1:1 meaning that if one is added to x then one is added to y, etc.

One possible solution from the graph(attached at the end of the solution) is selling 9 bags of popcorn and 5 bags of candies.

As per the given data:

The number of popcorn bags is x

The number of candies is y

The cost of each popcorn bag is $7

The cost of each candy is $4

She has $80 to spend on them

Inequality is the nonequal comparison of two or more variables and numbers.

So the first inequality is

7 x + 4 y ≤ 80

Since she must buy no less than 16 bags of popcorn and candies

The second inequality is

x + y ≥ 16

The red area represents the 1st inequality

The blue area represents the 2nd inequality

The solutions lie in the common part of red and blue colors

One possible solution is ordered pair (9,5)

(Graph attached at the end of solution)

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9514 1404 393

Answer:

Step-by-step explanation:

For a quadrilateral in which the diagonals cross at right angles, such as a rhombus or kite, the area can be found as half the product of the diagonals.

For the purpose here, we can ignore the factor of 1/2, which is the same for both, and simply consider the products of the diagonals.

Kite A has an area proportional to (30 in)(30 in) = 900 in².

Kite B has an area proportional to (20 in)(40 in) = 800 in².

Kite A has a larger area, so will use more paper.

__

Only Rudy knows why he chose answer C. Perhaps he guessed, rather than doing any math.

Answer:

A. Kite A

Step-by-step explanation:

To determine which of the two kites will use need more paper to make, find the area of each kite.

Kite A:

Area = (d1*d2)/2

d1 = 30 in.

d2 = 30 in.

Area of kite A = (30*30)/2 = 450 in.²

Kite B:

Area = (d1*d2)/2

d1 = 20 in.

d2 = 40 in.

Area of kite B = (20*40)/2 = 400 in.²

✅Kite A will use more paper to make because it has a greater area of 450 in.² than Kite B (400 in.²).

So, Ruby was wrong. He most likely didn't calculate the area of both kites correctly.

Answer:

12 + 2 - 4 = 10(2+8)