Determine dw/dt for the following equations.
w = z - sen(xy), x = t, y = ln t,z = eᵗ⁻¹

Answer:2

Step-by-step explanation:i did it

The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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Answer:

54

Step-by-step explanation:

6x=9x-27

x=9

9*9-27=54

Answer:

y = 45°

Step-by-step explanation:

4 sides = 360°

(2y+1)° + y° + 112° + 112° = 360°

2y + y = 360 - 112 - 112 - 1

3y = 135

y = 135÷3

= 45°

a. true

b. false ( angles should equal 180 125+65=190)

c. true

d. true

e. true

The inequalities given are 9) "And inequality, 10) "Or" inequality.

Compound inequalities are inequalities which consist of two or more simple inequalities.

"And" compound inequality has both the inequalities true.

"Or" compound inequalities have any one of them as true.

9. |5 + m| < 13

This can be written as,

-13 < 5 + m < 13

-13 - 5 < m < 13 - 5

-18 < m < 8

This is an "and" inequality. Because m can lie between -18 and 8.

10. 4 |y + 6| ≥ 3

|y + 6| ≥ 3/4

-3/4 ≥ y + 6 ≥ 3/4

-3/4 - 6 ≥ y ≥ 3/4 - 6

-6.75 ≥ y ≥ -5.25

The value of y can be either ≤ -6.75 or y ≥ -5.25. y cannot be both.

So this is an "or" inequality.

Hence the first one is and inequality and the second one is or inequality.

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Steps to solve:

f(x) = 2x + 1

~Substitute

f(9) = 2(9) + 1

~Multiply

f(9) = 18 + 1

~Add

f(9) = 19

Best of Luck!

Answer:

19

Step-by-step explanation:

substitute 9 in x and you get 18 then add 1 so total u get 19

Hope that helps :)

Given a ray passing through a line at an angle of 29 degrees, the angle opposite to it (angle R) can be found by subtracting 29 degrees from 180 degrees. Therefore, the value of angle R is 151 degrees.

We are given that a ray passes through a line, making an angle of 29 degrees with the line. Let us represent this situation as follows

The angle R represents the angle opposite to the angle of 29 degrees. Since the ray and the line form a straight line, their angles add up to 180 degrees. Therefore, we can write

angle R + 29 degrees = 180 degrees

To solve for angle R, we can subtract 29 degrees from both sides of the equation

angle R = 180 degrees - 29 degrees

Simplifying the expression, we get

angle R = 151 degrees

Therefore, the value of angle R is 151 degrees.

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Answer:

x+5 = 2(2x-1)

x+5 = 4 x - 2

7 = 3 x

x = 7/3

By choosing the annual contract and breaking it after 5 months, your parents would lose $574.00.

If you enter into an annual contract at $467.00/month and break it after 5 months, you would have paid:

= $467.00 x 5

= $2,335.00

Since breaking the annual contract incurs a penalty of 2 months' rent, your parents would need to pay an additional of:

= $467.00 x 2

= $934.00

If parents opted for the month-to-month contract at $539.00/month, the total cost for 5 months would be:

= $539.00 * 5 month

=  $2,695.00.

So, by choosing the annual contract and breaking it after 5 months, your parents would lose:

= $3,269.00 - $2,695.00

= $574.00.

Full question "Your parents are considering renting you an apartment instead of paying room and board at your college. The month-to-month contract is $539.00/month and the annual contract is $467.00/month. If you break the annual contract, there is a 2-month penalty. If you enter into an annual contract but decide to leave after 5 months, how much do your parents lose by not doing the month-to-month contract."

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Answer:

a) Similar triangles are triangles with the same shape but not necessarily the same size

b) 15/45 = 8/x

1/3 = 8/x (simplify the 15/45)

x = 8 * 3 (cross multiplication)

x = 24

c) y^2 = 15^2 + 8^2 (Pythagoras theorem)

y = *square root of* 15^2 + 8^2

y = 17

1/3 = 17/z

z = 17 * 3 (cross multiplication)

z = 51

Some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

Consider the multiple regression model with two regressors X1 and X2, where both variables are determinants of the dependent variable. You first regress Y on X1 only and find no relationship. However when regressing Y on X1 and X2, the slope coefficient changes by a large amount.

This suggests that your first regression suffers from omitted variable bias. Imperfect multicollinearity implies that it will be difficult to estimate precisely one or more of the partial effects using the data at hand. Imperfect multicollinearity means that there is a strong correlation between the regressors, but they are not perfectly correlated.

As a result, some part of the regression can be estimated precisely, but it is difficult to predict the effect of individual regressors when there is multicollinearity in the data.Multiple regression models require that variables be independent of one another, otherwise, multicollinearity will occur.

When there is multicollinearity in the data, it means that two or more of the variables are highly correlated with one another. In other words, the data may contain redundant information, which can make it difficult to estimate the regression coefficients or partial effects.The dummy variable trap refers to a situation in which one of the variables is a perfect linear combination of the other variables.

This results in the model being unsolvable, and the coefficients cannot be estimated. Heteroskedasticity is the term used to describe when the variance of the residuals is not constant across all values of the independent variables. This means that the predictions of the model may be biased, and the standard errors of the coefficients may be incorrect.

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Answer:

C is the correct answer

Answer:

x=96

Step-by-step explanation:

3/8x=36

Multiply both sides by 8/3.

\((\frac{8}{3}) (\frac{3}{8} x)=(\frac{8}{3} )\)

x  =96

Answer:

96

Step-by-step explanation:

36/3/8=36*8/3.

Therefore, 36*8 is 288,

Then you divide 3 from 288=288/3=96

The answer is 96.

Hopefully this answer helps!!!

Answer:

x=109 degrees

Step-by-step explanation:

so 33+39+x=180 degrees because of sum of angles in a triangle theorem. Then now you solve because of algebra

Just do 33+38+X=180, add 38 and 33 to get 71 then subtract that from 180. X=109

Answer:

4/6=14/21

Step-by-step explanation:

cross products gives you 84=84

I think this will help you

Answer:

x is the value of 12

Step-by-step explanation:

erfg

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

Answer:

m=1/4

Step-by-step explanation:

m=y2-y1/x2-x1 for points (0,1), (4,2)

m=2-1/4-0

m=1/4

and the equation is : y=1/4 x+1

Answer: 1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes , that is correct. The growth factor for the balance in the account at the end of the year is calculated by adding 1 to the annual interest rate, which is expressed as a decimal, and multiplying the result by the balance. This gives the formula:

Ending balance = Beginning balance * (1 + r)

where r is the annual interest rate as a decimal.

Answer: To find the area of the pre-image and the image, you can use the coordinates of the vertices of the shapes to calculate the lengths of the sides and use the formula for the area of a triangle:

Area = (base * height)/2

For the pre-image, the coordinates are X(3,18) Y(18,18) and Z(18,9). The base of the triangle is the distance between X and Z, which is 18 - 3 = 15. The height of the triangle is the distance between Y and Z, which is 18 - 9 = 9. The area of the pre-image is therefore:

Area = (15 * 9)/2 = 67.5

For the image, the coordinates are X’(1,6) Y’(6,6) Z’ (6,3). The base of the triangle is the distance between X’ and Z’, which is 6 - 1 = 5. The height of the triangle is the distance between Y’ and Z’, which is 6 - 3 = 3. The area of the image is therefore:

Area = (5 * 3)/2 = 7.5

The relationship between the two areas is that the area of the image is smaller than the area of the pre-image. This is because the image has been scaled down in size relative to the pre-image. The amount by which the image has been scaled down can be calculated by dividing the area of the image by the area of the pre-image:

Scale factor = area of image / area of pre-image = 7.5 / 67.5 = 0.11

This means that the image has been scaled down by a factor of 0.11 relative to the pre-image.

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the areas and their relationship of the preimage with coordinates X(3,18), Y(18,18), and Z(18,9), and the image with coordinates X’(1,6), Y’(6,6), Z’ (6,3).

When you plot the points on a graph, you see they define right triangles. Each has sides aligned with the x- and y-axes, so it is easy to find their dimensions by counting grid squares or subtracting coordinates.

The preimage triangle is 18-3 = 15 units in the x-direction, and 18-9 = 9 units in the y-direction.

The image triangle is 6-1 = 5 units in the x-direction, and 6-3 = 3 units in the y-direction.

We notice that both the coordinates and the dimensions of the image triangle are 1/3 those of the preimage triangle.

The area of each triangle is given by the formula ...

  A = 1/2bh

Using the dimensions we found above, the areas are ...

  preimage area: 1/2(15)(9) = 135/2 = 67.5 . . . . square units

  image area: 1/2(5)(3) = 15/2 = 7.5 . . . . square units

We have observed that the image dimensions are 1/3 those of the preimage. The image area is 7.5/67.5 = 1/9 of that of the preimage. This value is the square of the scale factor of the dimensions,

Answer:

do you have an image for A and B also?

v/8=2

x8 x8

v=16

16=k/11

x11   x11

176=k

18+m=8

-18     -18

m=-10

---

hope it helps

To evaluate the expression, we need to use the binomial distribution formula: P(X = k) = (n choose k) * p^k * (1-p)^(n-k) where:

- n is the sample size (10 individuals in this case)
- k is the number of individuals who have consumed alcohol (5 in this case)
- p is the probability of an individual consuming alcohol, which is 0.6 according to the problem

If you provide the value of p, I can help you calculate the probability.

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To determine which plan would be the best buy for Joe, we can calculate the total cost of each plan based on his estimated phone usage of 250 minutes per month.

Plan A-plus Phones:

Flat rate cost = $20

Cost of phone calls = 250 x $0.15 = $37.50

Total cost = $20 + $37.50 = $57.50

Plan Cell-o-fone:

Flat rate cost = $30

Cost of phone calls = 250 x $0.10 = $25.00

Total cost = $30 + $25.00 = $55.00

Based on these calculations, it appears that Plan Cell-o-fone would be the best buy for Joe, with a total cost of $55.00 compared to Plan A-plus Phones' total cost of $57.50. Even though Plan A-plus Phones has a lower per-minute rate, the higher flat rate cost makes it more expensive for Joe given his estimated phone usage.

The (5, 0) is the x-intercept and  Y-intercept  is ( 0, 6 ).

6x−5y=30

Find the x-intercepts.

Substitute 0 for y and solve for x to determine the x-intercept(s).

6x−5⋅0= 30

Solve the equation.

Tap for additional steps... x = 5 point-form x-intercepts.

( 5, 0 ) are the x-intercept(s)

Find the y-intercepts.

Substituting 0 for x and solving for y will yield the y-intercept(s).

6 ( 0 ) − 5 y = 30

Put the equation to rest.

Reduce the complexity of 6 ( 0 ) 5 y.

Add 0 to 6 to multiply.

0−5y= 30

Subtract 5 years from 0

−5y= 30

Simplify by multiplying each term in y = 5 by 5 before dividing again.

Each term in 5 y = 30 should be divided by 5.

−5y/−5 = 30/−5

Condense the left side.

Get rid of the common element of − 5.

y=30/−5

Condense the right side.

Subtract 5 from 30.

y= −6

In point form, the y-intercept(s).

Y-intercept(s): ( 0, 6 )

Identify the intersections.

(5, 0) is the x-intercept.

Y-intercept(s): ( 0, 6 ).

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As per the law of sine, the value of ∠ABC is 13°

Law of sine:

In math, the law of sine refers the relationship between the sides and angles of non-right (oblique) triangles.

Given,

Triangle ABC is drawn with AB = 3.6 units. BC = 4.2 units, and BCA = 28°. Here we need to find the measure of ∠ABC.

According to the law of sine, the given measures of the given triangle  are written as,

=> sin 28°/4.2 = sin x°/3.6

Apply the value of sin 28° = 0.27, then we get,

=> 0.27/4.2 = sin x/3.6

=> 0.972/4.2 = sin x

=> sin x = 0.2314

=> x = sin⁻¹(0.2314)

=> x = 13°

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Answer:

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

Answer:

3a

Step-by-step explanation:

9/3 = 3

\(a^{3}/a^{2} = a^{3 -2} = a\)

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

Answer:

The answer is B h(g(f(x)))=1.07(0.8x-10)

Step-by-step explanation: