1. My dog Wyatt is growing at a rate of 1.5 ounces per month. He is currently 200 ounces. a) Write an expression that represents his change in weight per month, using ​M​ to

represent the amount of months.

b) Write an expression that represents his total weight after any number of months using ​M

to represent the number of months

c) Write an equation using the expression from question "b" that you could solve for ​M​ to

find how many months it will take for Wyatt to grow to a total weight of 230 ounces.

d) Solve the equation. How many months will it take for Wyatt to grow to a total weight of

230 ounces?

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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Answer:

Step-by-step explanation:

2x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -12x - 9y = 23

5x - 3y = -1

Answer:

You will need 34 square feet of carpet

Answer:

Step-by-step explanation:

Parallelogram.

To get from A to B you move 2 units left and 2 units up

To get from B to C you move 8 units right and no units up or down.

To get from C to D you move 2 units down and 2 units left.

To get from D to A you move 8 units left and no units down or up.

Answer:

Your answer is D

Step-by-step explanation:

When we reflect the point which is at the coordinates (-2,4) we count how far it is from the Y line, it is 2 units away thus we must put our point on the Y line and count 2 to the other side giving us (2,4)

Hope this helps!

Answer:

\(y=3x^2+12x+17\)

Step-by-step explanation:

The equation in vertex form is \(y=a(x+2)^2+5\).

We can use the point \((1,32)\) to solve for \(a\).

\(32=a(1+2)^2+5 \\ \\ 27=9a \\ \\ a=3 \\ \\ \\ \therefore y=3(x+2)^2 + 5 \\ \\ =3(x^2+4x+4)+5 \\ \\ =3x^2+12x+12+5 \\ \\ =3x^2+12x+17\)

Answer:

x = -3

Step-by-step explanation:

Start with your problem

3(x+5) = 2(3x+12)

Distribute, then solve from there

3x + 15 = 6x + 24

     - 15          - 15

3x = 6x + 9

-6x  -6x  

-3x = 9

/-3     /-3

x = -3

Answer:

1st Decimal Place : 63.85

2nd Decimal Place :  63.8

Step-by-step explanation:

Hope this helps!!! :))

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Slope-intercept form    ( or  slope -  y-axis intercept form)

 is   y = mx + b      where m = slope and   b is the y-axis intercept

so arrange each equation into this form

First one     y +3 = x        re-arrange to y = (1) x -3     slope =1  intercept = -3

Second one    2y-10 = -4x

                         2y = -4x +10

                           y = -2x+5           slope = -2    intercept = 5

I think you should try the rest of them....they are similar  (14 is already done)

Answer:

The room has a width of three metres, and a length of seven metres.

Step-by-step explanation:

This is solvable using a system of equations.  First, we're told that its length is four metres more than its width:

l = w + 4

We're also told that it has a perimeter of 20, and know that the perimeter of a rectangle is equal to two times its length plus two times its length.  We can plug the given perimeter into that relationship, giving us:

20 = 2l + 2w

With that, we can simply substitute our first equation into it, replacing l, and then solve for w:

20 = 2l + 2w

20 = 2(w + 4) + 2w

20 = 2w + 8 + 2w

12 = 4w

w = 3

So the width is three metres.  We also know that the length is four metres more than that, telling us that it's seven metres.

We can check that my calculating the perimeter with those numbers and making sure it still matches 20

2 * 3 + 2 * 7

= 6 + 14

= 20

so the answer is good.

(a) The null hypothesis in symbols is H0: µf-µm ≥ 0, The alternative hypothesis in symbols is Ha: µf-µm < 0

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

(c) Since the P-value of 0.0177 is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that birthweight is lower when the elder sibling is male.

(a) The null hypothesis is H0: µf-µm ≥ 0, where µf is the mean birthweight of babies born after a female and µm is the mean birthweight of babies born after a male. The alternative hypothesis in symbols is Ha: µf-µm < 0, indicating that the birthweight of babies born after a male is lower than those born after a female.

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

A P-value of 0.0177 means that there is a 1.77% chance of observing a difference in birthweight as extreme as the one observed in the sample, assuming that birthweight is the same for babies born after a male and those born after a female.

(c) We can rule out the null hypothesis because the P-value of 0.0177 is below the significance level of 0.05, meaning there is evidence to support the idea that birthweight is lower when the older sibling is a male.

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Answer:

22m+4

Step-by-step explanation:

Answer: x=5 z=115

Step-by-step explanation:

First, subtract 91 from 180(which is the amount of degrees on the line)

Secondly, subtract 24 from 89(which is the amount of degrees on the x portion

Next, divide 65 (the amount of angles missing after subtracting 24)

Lastly, add 65(for the perpendicular value), then find the difference between 180 and 65 to get to the value of z.

Answer:

z= 91°

x=5

Step-by-step explanation:

z is the vertical angle to 91°. Vertical angles are always congruent which means they are equal.

Now to solve for x you do

\(180=91 + (13x+24)\)

a straight line is always 180 so both angles added together would give you 180.

Then you would subtract 91 from both sides of the equation to get the equation

\(89=13x + 24\)

Then you subtract 24 from each side to get the equation

\(65 = 13x\)

Then divided both sides to get your final answer of

\(5=x\) or \(x=5\)

Using the given linear function, we have that:

a) The equation in standard form is: h - 3.34r - 81.2 = 0.

b) The intercepts are given as follows: h-intercept = 81.2, r-intercept = -24.31.

c) The predicted height is of 164.7 centimeters.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In standard format, the equation is given by:

y - mx - b = 0.

In which:

For this problem, the equation is:

h = 81.2 + 3.34r.

In standard format, the equation is:

h - 3.34r - 81.2 = 0.

From the equation, the h-intercept is of 81.2. To find the r-intercept, we have to solve for r when h = 0, hence:

3.34r + 81.2 = 0.

3.34r = -81.2

r = -81.2/3.34

r = -24.31.

For item c, the radius is given by r = 25, hence the height will be given as follows:

h = 81.2 + 3.34(25) = 164.7.

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Answer: 8/15 and 1 1/3

Step-by-step explanation:

The equivalent fractions for 1 3/5 and 1 1/3 using a common denominator are 8/15 and 10/15. This is because 1 3/5 can be written as 8/15 and 1 1/3 can be written as 10/15, and the denominator (bottom number) of both fractions are the same.

-10(5t + 5) - 10(10t + 6)​

expanding the brackets, we have

= -50t -50 -100t -60

= -50t -100t -50 -60

= -150t -110

or

= 10(15t -11)

The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

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The exponent in the Sam's product is -5 it can be extracted from the scientific notation 1.8125 x 10⁻⁵.

Scientific Notation:

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form.

Given,

In a math class, Sam correctly multiplied 3.625×10⁻⁸ by 500, then reported his product in scientific notation.

Here we need to find the exponent of the resulting scientific notation.

First, we have to multiply the terms,

For that we have to take only the whole value terms,

Like,

=>  (3.625 × 500) × 10⁻⁸

=> 1812.5 × 10⁻⁸

It can be further simplified as,

=> 1.8125 × 10³ × 10⁻⁸

=> 1.8125 x 10³⁻⁸

=> 1.8125 x 10⁻⁵

Therefore, the exponent is -5 for the resulting scientific notation 1.8125 x 10⁻⁵.

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Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

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Answer:

x= -1/6

Step-by-step explanation:

x-5/6 = -1

Add 5/6 to both sides

x = - 1/6

Answer:

B

Step-by-step explanation:

Not much to explain

Answer: 95 percent confidence interval

Step-by-step explanation: "you have a 5 percent chance of being wrong. with a 90 percent confidence interval, you have a 10 percent chance of being wrong a 99 percent confidence interval would be wider than a 95 percent confidence interval for example plus or minus 4.5 percent instead of 3.5 percent"

Answer:

n=-20

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:

The probabilities must add to 1, so:

\(P(x < 9) +P(X=9)+P(X > 9)=1\\\\\frac{1}{6}+P(X=9)+\frac{1}{3}=1\\\\P(X=9)=\boxed{\frac{1}{2}}\)

Answer:

$159.85

Step-by-step explanation: