A statue casts a shadow that is 9 ft long. A boy that is 4 ft tall casts a shadow that is 6 ft long. How tall is the statue?

Step-by-step explanation:

[tex]2 \times 14 \times 13 +12 \times 10 + 14 \times 10 = \\ = 624[/tex]

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

[tex]13^{2} = 169[/tex]

[tex]4^{2} =16[/tex]

169-16=153.

[tex]\sqrt{153}[/tex] ≈ 12

or

[tex]\sqrt{153}=12.36931688[/tex]

or if the problem has to be exact (using radicals)

3*[tex]\sqrt{17}[/tex]

I hope this helps ;)

P(4, 2, 6) is on the given surface, but Q(5, 1, -11) is not. The correct answer is that P is on the surface, but Q is not

To determine whether the points P(4, 2, 6) and Q(5, 1, -11) lie on the given surface, we need to check if their coordinates satisfy the equation r(u, v) = <u + v, u^2 - v, u + v^2>.

For P(4, 2, 6):

Plugging in the coordinates of P into the equation, we have:

r(4, 2) = <4 + 2, 4^2 - 2, 4 + 2^2> = <6, 14, 8>.

The coordinates of P(4, 2, 6) match the coordinates obtained from the equation, so P lies on the surface.

For Q(5, 1, -11):

Plugging in the coordinates of Q into the equation, we have:

r(5, 1) = <5 + 1, 5^2 - 1, 5 + 1^2> = <6, 24, 6>.

The coordinates of Q(5, 1, -11) do not match the coordinates obtained from the equation, so Q does not lie on the surface.

Therefore, the correct answer is that P is on the surface, but Q is not. The given coordinates for P(4, 2, 6) satisfy the equation, while the coordinates for Q(5, 1, -11) do not match the equation, indicating that Q does not lie on the given surface.

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Answer:

the answer is 50

Answer:

50

Step-by-step explanation:

BODMAS/BIDMAS

48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (7-10)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ (-3)²

= 48 - 5 + 7 x [tex]3^{2}[/tex] ÷ 9

= 48 - 5 + 7 x 9 ÷ 9

= 48 - 5 + 63 ÷ 9

= 48 - 5 + 7

= 43 + 7

= 50

Shelly bought three pairs of jeans and sweaters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Shelly is given $300 to spend on jeans and sweaters.

Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.

As per the given question, the required solution would be as:

She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.

65 x 3 = 195

34 x 3 = 102

Therefore, Shelly bought three pairs of jeans and sweaters.

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The radius of J is 76. so option A is correct.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

By applying Pythagoras theorem In right triangle,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(720 + J)² = (648)² + J²

518400+ J² + 1440J = 419904 + J²

1440J = 518400- 419904

J = 76

Therefore, J = 76 units is the answer.

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The curves are intersecting at (-1.75, 2.5) and (1.75, 2)

Nonlinear functions include all functions that are not linear. The following are some instances of nonlinear functions: f(x) = x2 - 2x + 2, ln (x), ex, etc.

In the above question, a graphical representation of non-linear system of equations is given

We need to find the solution of this non-linear system of equations based on the graphical representation

We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations

We can clearly see that, the curves are intersecting at

(-1.75, 2.5) and (1.75, 2)

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Answer:

30 ft

Step-by-step explanation:

10 feet = 120 inches

120 in x 3 in = 360 in

360 in ÷ 12 in = 30 ft

The interpretation of the p-value itself does not provide certainty about the truth or falsehood of the claim being tested.

Instead, it helps assess the strength of the evidence against the null hypothesis the assumption that the proportion is not greater than 0.60.

Based on the provided information and the obtained p-value of 0.0367, there are a few conclusions draw for certain,

The researcher conducted a survey among 541 adult residents of the state regarding their opinion on raising taxes for road repairs.

In the sample, 345 residents out of the 541 agreed that taxes should be raised for road repairs.

The researcher tested a claim or hypothesis that the proportion of adults favoring raising taxes is greater than 0.60 (60%).

The p-value of 0.0367 was obtained as a result of the statistical test.

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1) The component form of AB is (-3-0, 5-2) or (-3, 3). 2) AB = (-3, 3).

3) The coordinates of the point 2/3 of the way from A to B are (3, -1).

1) The component form of AB is (-3-0, 5-2) or (-3, 3).

2) AB = (-3, 3).

3) To determine the coordinates of the point 2/3 of the way from A to B, we can use the formula for finding a point on a line segment. Let's call the point we're looking for C. The x-coordinate of C can be found by taking 2/3 of the difference between the x-coordinates of A and B and adding it to the x-coordinate of A. Similarly, the y-coordinate of C can be found by taking 2/3 of the difference between the y-coordinates of A and B and adding it to the y-coordinate of A.

Using this formula, we can calculate the x-coordinate of C as:

x-coordinate of C = (2/3)*(2 - 5) + 5 = (2/3)*(-3) + 5 = -2 + 5 = 3.

And the y-coordinate of C as:

y-coordinate of C = (2/3)*(0 - (-3)) + (-3) = (2/3)*(3) - 3 = 2 - 3 = -1.

Therefore, the coordinates of the point 2/3 of the way from A to B are (3, -1).

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Answer:

N=19

Step-by-step explanation:

BNA Brand New Animal is the best anime

Answer:

1. Yes

2. Yes

3. No

4. Yes

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees.

For 1, 76+14 = 90.

Etc., you can do the math, I believe you are smarter than addition.

Step-by-step explanation:

1cantimeter=10mm

14mm=1.4cm

Area of circle pi r²=pi*1.4²=1.96pi

B) A high correlation between two or more independent variables would indicate the possible presence of multicollinearity in a regression analysis.

Multicollinearity occurs when two or more independent variables in a regression model have a strong correlation with one another, making it difficult to distinguish the individual influence of each independent variable on the dependent variable.

Poorly constructed experiments, heavily observational data, introducing new variables that are dependent on other factors, including identical variables in the dataset, incorrect use of dummy variables, or inadequate data can all lead to multicollinearity.

Calculating the variance inflation factor (VIF) for each independent variable is one way for detecting multicollinearity; a VIF value more than 1.5 shows multicollinearity.

To correct multicollinearity, one of the highly correlated variables can be removed, combined into a single variable, or a dimensionality reduction approach such as principal component analysis can be used.

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Answer:

Simplifying

3u = 72

Solving

3u = 72

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Divide each side by '3'.

u = 24

Simplifying

u = 24

3u= 72

three will go to the other side so it will divide

and it well be

u= 24

Answer:

8.9

Step-by-step explanation:

8.94427191

Answer:

8.9

Step-by-step explanation:

8.94427191 the number 1 spot to the right of the decimal point is tenths. the number is 9 the number to the right of that is 4. unless that number 2 digits to the right of the decimal point is 5 or over the 9 stays the same

A standard deviation of 23.16.

In a recent election, where 65% of people supported reelecting the incumbent, a poll was conducted with a sample size of 1390 people.

To approximate the binomial distribution with a normal distribution, we can calculate the mean and standard deviation.

The mean is determined by multiplying the sample size (1390) by the proportion of support (0.65), resulting in a mean of 898.5.

The standard deviation is calculated by taking the square root of the product of the proportion of support (0.65) with the proportion of opposition (0.35), divided by the sample size, and then multiplied by the square root of the sample size.

This yields a standard deviation of approximately 23.16.

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Answer:

5/8

Step-by-step explanation:

if 1/8 is used for one batch . for five batch=1/8*5=5/8

The length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

To find the length of the arc intercepted by a central angle on a circle, we can use the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, the radius of the circle is 14 inches, and the central angle is 140°.

First, we need to calculate the circumference of the circle:

Circumference = 2 * π * radius

Circumference = 2 * π * 14 inches

Now, we can calculate the length of the arc:

Arc Length = (140° / 360°) * Circumference

Arc Length = (140/360) * (2 * π * 14 inches)

Arc Length ≈ (0.3889) * (2 * 3.1416 * 14 inches)

Arc Length ≈ 0.3889 * 87.9648 inches

Arc Length ≈ 34.1557 inches

Therefore, the length of the arc intercepted by a central angle of 140° on a circle with a radius of 14 inches is approximately 34.1557 inches.

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Answer:

pepperoni pizzas = 8

cheese pizzas = 4

Step-by-step explanation:

let x = cheese pizza

2x + x + 1 = 13

3x = 13 -1

3x = 12

x = 4

pepperoni = 2x4 = 8

The correlation coefficient indicates the weakest relationship between two variables is 0.03. Therefore, the correct answer is option D.

The correlation coefficient is a measure of the strength of the linear relationship between two variables.

A correlation coefficient of 0.0 indicates no correlation—there is no linear relationship between the two variables.

A value of 0.03 indicates a very weak correlation, the weakest of the given options. Values closer to 1 or -1 indicate a stronger correlation.

Therefore, the correct answer is option D.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following values of the correlation coefficient indicates the weakest relationship between two variables?

A) 0.42

B) -0.3

C) -0.87

D) 0.03

Answer:

D

Step-by-step explanation:

Step 1(Base step) − It proves that a statement is true for the initial value.

Step 2(Inductive step) − It proves that if the statement is true for n=k, then it is also true for n=k+1.

Answer:

x = -0.2

Step-by-step explanation:

(5x + 2) = 1

      - 2     -2      

--------------------

5x = -1

Divide each side by 5

-1/5

= -0.2

Check:

(5x + 2) = 1

replace x with -0.2

(-1 + 2) = 1

1 = 1

The equation is true.

Hope this helped :)

Answer:

x=6

Step-by-step explanation:

4.3 + 3.2x = 23.5​

-4.3 on both sides

3.2x=19.2

divided by 3.2

x=6

A) The price-demand relationship for a clock radio is given by x=4000-40p. B) The revenue function R(x) is found to be R(x) = x * [(4000 - x) / 40]. C) The marginal revenue at a production level of 2700 clock radios is calculated using the derivative R'(x) = (4000 - 3x) / 40, and D) R'(3200) = -60.00 indicates a decrease in revenue of $60.00 per unit at a production level of 3200 clock radios.

(A) To express the price p in terms of the demand x, we can rearrange the equation x=4000-40p to solve for p. Subtracting x from both sides and dividing by -40, we get p = (4000 - x) / 40. The domain of this function represents the possible values for x, which should be non-negative since it doesn't make sense to have negative demand. Therefore, the domain is x ≥ 0.

(B) The revenue R(x) from selling x clock radios can be calculated by multiplying the price p by the quantity x. Since p = (4000 - x) / 40, we have R(x) = x * p = x * [(4000 - x) / 40]. The domain of the revenue function depends on the domain of x, which we determined in part (A) as x ≥ 0.

(C) The marginal revenue represents the change in revenue resulting from producing one additional unit. To find the marginal revenue at a production level of 2700 clock radios, we need to find R'(x) (the derivative of the revenue function) and evaluate it at x = 2700. Differentiating R(x) = x * [(4000 - x) / 40] with respect to x, we find R'(x) = (4000 - 3x) / 40. Substituting x = 2700 into the derivative, we get R'(2700) = (4000 - 3 * 2700) / 40.

(D) The interpretation of R'(3200) = -60.00 is that the marginal revenue at a production level of 3200 clock radios is -60.00 dollars per unit. This means that producing an additional unit at this level would result in a decrease in revenue by $60.00. The negative value indicates a diminishing marginal revenue, which suggests that the market might be becoming saturated or that there are competitive factors affecting the demand for the clock radios.

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Answer:

171

Step-by-step explanation:

This is a Right triangle,

So this means that all the sides should add up to 180,

So far we have 9

So we will have to Subtract 9 from 180 which leaves us with 171,

I hope this is correct!!

Step-by-step explanation:

0.00065

Hope it helps....

Answer:

First, multiply the radius by 2 to get the diameter 18 inches. Then, multiply the diameter by 3.14 (an approximation for 1) to get a circumference of about 56.52 inches. If the diameter doubles the circumference doubles.

Step-by-step explanation:

18π = 56.52

36π = 113.04

56.52*2 = 113.04

By applying the Gaussian-Jordan algorithm to the given system of equations, we can find the reduced row-echelon form (rref) of the system. The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.

We start by writing the augmented matrix of the system:

[ -2 3 1 -2 ]

[ -3 1 3 -4 ]

[ 0 2 -1 0 ]

To obtain the rref, we perform row operations to eliminate the coefficients below and above the pivots. Our goal is to transform the matrix into the following form:

[ 1 0 0 a ]

[ 0 1 0 b ]

[ 0 0 1 c ]

First, we divide the first row by -2 to make the pivot in the first column 1:

[ 1 -3/2 -1/2 1 ]

[ -3 1 3 -4 ]

[ 0 2 -1 0 ]

Next, we perform row operations to eliminate the coefficient -3 in the second row:

[ 1 -3/2 -1/2 1 ]

[ 0 2/2 9/2 -7 ]

[ 0 2 -1 0 ]

Then, we divide the second row by 2 to make the pivot in the second column 1:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 2 -1 0 ]

Now, we perform row operations to eliminate the coefficient 2 in the third row:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 0 -17/4 7 ]

Finally, we divide the third row by -17/4 to make the pivot in the third column 1:

[ 1 -3/2 -1/2 1 ]

[ 0 1 9/4 -7/2 ]

[ 0 0 1 -28/17 ]

The resulting rref shows that the system is consistent, and the solution is x = 1, y = -28/17, and z = -28/17.

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Answer:

Number of children = x = 330

Number of adults = y = 358

Step-by-step explanation:

Let

Number of children = x

Number of adults = y

x + y = 688 (1)

1.75x + 2.00y = 1293.50 (2)

From (1)

x = 688 - y

Substitute x = 688 - y into (2)

1.75x + 2.00y = 1293.50

1.75(688 - y) + 2.00y = 1293.50

1,204 - 1.75y + 2.00y = 1293.50

- 1.75y + 2.00y = 1293.50 - 1,204

0.25y = 89.50

y = 358

Substitute y = 358 into (1)

x + y = 688

x + 358 = 688

x = 688 - 358

x = 330

Number of children = x = 330

Number of adults = y = 358