A 10​-ft vertical post casts a ​16-in shadow, at the same time, a nearby cell phone tower casts a ​126-ft shadow. How tall is the cell phone​ tower?

Answer:

C - 21:28

Step-by-step explanation:

this is solved by a little bit of trial and error. divide the possible answer numerators by 15, and check if it's the same for the denominator.

For C I did this:

Divided the denominators: 28 ÷ 20 = 1.4....so that's 1.4.

Let's test it out for the numerator now. 21 ÷ 15 = 1.4.

So there's your answer.

• Answer:

99

• Step-by-step explanation:

Hi there !

use formula a² - b² = (a-b)(a+b)

18² - 15² =

= (18 - 15)(18 + 15)

= 3×33

= 99

Good luck !

Answer:

80%

Step-by-step explanation:

True. Small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

Small p-values indicate that the observed sample data provides strong evidence against the null hypothesis. The p-value is a measure of the strength of evidence against the null hypothesis in a hypothesis test. It represents the probability of observing the obtained sample data, or more extreme data, if the null hypothesis is true.

When the p-value is small (typically less than a predetermined significance level, such as 0.05), it suggests that the observed sample data is unlikely to have occurred by chance under the assumption of the null hypothesis. In other words, a small p-value indicates that the observed data is inconsistent with the null hypothesis.

Conversely, when the p-value is large (greater than the significance level), it suggests that the observed sample data is likely to occur by chance even if the null hypothesis is true. In such cases, there is not enough evidence to reject the null hypothesis. Therefore, small p-values support the rejection of the null hypothesis and provide evidence in favor of an alternative hypothesis.

Learn more about P-value here:

https://brainly.com/question/30461126

#SPJ11

The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

Learn more about ratio here: https://brainly.com/question/31945112

#SPJ11

Answer: 23.1

Step-by-step explanation:

By the inscribed angle theorem, we know the measure of arc DC is 120 degrees. So, we can set 120=7x-42.

162 = 7x

x = 162/7, which is about 23.1

A correlation coefficient is a numerical index that reflects the relationship between two variables.

The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.

The given blank in the sentence can be filled with two variables.

Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.

Learn more about Correlation Coefficients:

https://brainly.com/question/15353989

#SPJ1

Answer:

41%

Step-by-step explanation:

Convert to inches and do the percent thing

Answer: Well 6 / 2(1+2) = 9

and 814 x 407 = 331,298

Step-by-step explanation:

a. For the function f(x) = 3x² + 2x - 8, we need to compute and simplify [f(x + h) - f(x)]/h. To do this, we substitute f(x + h) and f(x) into the formula and simplify the expression.

b. For the function f(x) = 2x² - 5x - 14, we follow the same process as in part a to compute and simplify [f(x + h) - f(x)]/h.

For the functions y = 2 sin(4x+2) and y = 3 cos(0.5x - x), we need to find the amplitude, period, and phase shift. The amplitude represents the maximum displacement from the center line, which is the absolute value of the coefficient of sin or cos. The period is given by 2π divided by the coefficient of x inside the sin or cos function. The phase shift is found by setting the argument of sin or cos equal to zero and solving for x.

To sketch the graph, we plot the maxima and minima, which occur at equal intervals of the period. We also locate the x-intercepts, which are the points where y = 0.

For the population problem, we start with a population of 500,000 in 2008 and it is decreasing at a rate of 5% per year. We can use the exponential decay formula P(t) = P₀(1 - r)^t, where P(t) is the population at time t, P₀ is the initial population, r is the decay rate (in decimal form), and t is the time in years. For part a, we substitute P₀ = 500,000, r = 0.05, and t = 2025 - 2008 to calculate the population in 2025. For part b, we need to find the time when the population is 75% of the original amount, so we set P(t) = 0.75P₀ and solve for t.

The detailed calculations and explanations for each of the problems exceed the given word limit. Please let me know which specific problem you would like me to explain further.

Learn more about exponential decay here: brainly.com/question/17161065

#SPJ11

Answer:

-1(x - 5)x

Step-by-step explanation:

7x2 - 5x + 10x -8x2

7x2 + 5x -8x2

7x2 + 5x - 8x2

-1x2 + 5x

-1x2 + 5x

-x2 + 5x

7x2 - 5x + 10x - 8x2

-1 (x2 - 5x)

-1 (x2 - 5x)

-1(x - 5)x

-1(x - 5)x

Answer: 15x15

Step-by-step explanation:

I'm assuming this is an optimization problem in a Calculus class, if not just disregard all of this and be happy with the answer.

We can write two equations for the value of x and y lengths of this rectangle.

2y+2x=60

xy=A

Solve our perimeter equation for y, y=30-x.

This gives us x(30-x)=A, and 30x-x²=A.

Find the derivative of the area function: A'=30-2x

To maximize we set A' to 0: 0=30-2x, x=15

Plug back into our perimeter formula: 2y+2(15)=60, y=15

So both sides will be 15 inches.

The area under the standard normal curve to the left of z = 1.72 is 0.0427. To find the area to the right of z = 1.72, we can subtract the area to the left from 1.

Subtracting 0.0427 from 1 gives us an area of 0.9573. Therefore, the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573.In the standard normal distribution, the total area under the curve is equal to 1. Since the area to the left of z = 1.72 is given as 0.0427, we can find the area to the right by subtracting this value from 1. This is because the total area under the curve is equal to 1, and the sum of the areas to the left and right of any given z-value is always equal to 1.

By subtracting 0.0427 from 1, we find that the area under the standard normal curve to the right of z = 1.72 is approximately 0.9573. This represents the proportion of values that fall to the right of z = 1.72 in a standard normal distribution.

Learn more normal distribution here:

https://brainly.com/question/15103234

#SPJ11

Answer:

79 degrees

Step-by-step explanation:

79 degrees is parallel to a. The line below is the same as the line above, since they are parallels, beaning d and b also are both 79 degrees

Answer:

\(79^{\circ}\)

Step-by-step explanation:

From vertical angles, \(m\angle a=79^{\circ}\)

From corresponding angles, \(m\angle b=m\angle a\)

Therefore, we have \(m\angle b=m\angle a=\boxed{79^{\circ}}\)

Answer:

18π

Step-by-step explanation:

Lateral Surface Area = 2πrh

Plug in the numbers into the equation.

but leave the pi

(a) To prove that if T: R^n → R^m is a matrix transformation, then T(0) = 0, we consider the properties of matrix transformations.

A matrix transformation is defined by multiplication with a matrix, and the zero vector in R^n is represented as the vector [0, 0, ..., 0]^T. When this zero vector is multiplied by any matrix, the resulting vector will also be the zero vector [0, 0, ..., 0]^T in R^m. Therefore, T(0) = 0 holds true for any matrix transformation.

(b) The converse is not true. An example of a transformation T(0) = 0, where 0 is not a matrix transformation, is the function T: R^2 → R^2 defined as T(x, y) = (x, 0). In this case, T maps the zero vector (0, 0) to the vector (0, 0), satisfying T(0) = 0. However, T is not a matrix transformation because it does not correspond to multiplication with any matrix.

Learn more about  matrix transformation here: brainly.com/question/32263560

#SPJ11

Answer:

Step-by-step explanation:

(im presuming this is a triangle)

65 + 45 = 110°

angles in a triangle add up to 180°

180 - 110 = 70°

x = 70°

There are no solutions to this equation because it is impossible to divide by 0.

The equation is asking to solve for z:

-5z/(1) = -2z/10

However, this equation is not solvable because it requires dividing by 0. The equation cannot be simplified any further and there are no solutions.

The given equation is -5z/(1) = -2z/10 and it is asking to solve for z. However, this equation is not solvable because it requires dividing by 0. This means that it is impossible to simplify the equation any further or to find a solution. Therefore, the equation has no solutions.

There are no solutions to this equation because it is impossible to divide by 0.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

6 - n = 6 - (-#) = 6 + n

3 (6n) = greatest value

Answer:

27,648

-110,592

442,368

Step-by-step explanation:

each term is multiplied by -4

Answer:

x = -5

Step-by-step explanation:

-34 - 5x = 3x + 6

x = -5

Answer:

x=-5

Step-by-step explanation:

divide each side by a factor thay dont contain  variable

Answer:

Hello

Step-by-step explanation:

\((x - \frac{2}{3} + y - \frac{1}{2} ) \times 6 = 6 \times x - \frac{2}{3} \times 6 + 6 \times y - \frac{1}{2} \times 6 = 6x - 4 + 6y - 3 = 6x - ( - 7) = 6x + 7\)

The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.

We are given the line 7y-4x=-14, let's organize the equation like the general form:

In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.

Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.

By looking at the answer options, we can select the second option y= 4/7x-1

The statement "if a function f is continuous & differentiable at a point c & f' (c) = 0, then c is a local minimum or a local maximum of f" is true.

A function f is continuous at a point c if the limit of the function as x approaches c exists and is equal to the function's value at c. Differentiability at c means the derivative f'(c) exists. If f'(c) = 0, it indicates a critical point.

To determine if it's a local minimum or maximum, we can apply the second derivative test. If f''(c) > 0, it's a local minimum, and if f''(c) < 0, it's a local maximum. If f''(c) = 0, the test is inconclusive, and we need to analyze the function further.

To know more about differentiable click on below link:

https://brainly.com/question/24898810#

#SPJ11

The statement "if a function f is continuous & differentiable at a point c & f' (c) = 0, then c is a local minimum or a local maximum of f" is true.

A function f is continuous at a point c if the limit of the function as x approaches c exists and is equal to the function's value at c. Differentiability at c means the derivative f'(c) exists. If f'(c) = 0, it indicates a critical point.

To determine if it's a local minimum or maximum, we can apply the second derivative test. If f''(c) > 0, it's a local minimum, and if f''(c) < 0, it's a local maximum. If f''(c) = 0, the test is inconclusive, and we need to analyze the function further.

To know more about differentiable click on below link:

https://brainly.com/question/24898810#

#SPJ11

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

Read more on midpoint here: brainly.com/question/17918978

#SPJ1

Answer:

h = 3/8

Step-by-step explanation:

1/2(6h-4) = -5h+1

Distribute

3h -2 = -5h+1

Add 5h to each side

3h-2+5h = -5h+1+5h

8h-2 = 1

Add 2 to each side

8h-2 +2 = 1+2

8h = 3

Divide by 8

8h/8 = 3/8

h = 3/8

Answer:

If you're supposed to use elimination to find (x, y) the answer is (6, 1)

Step-by-step explanation:

Add:

2x+3y=15

  x-3y= 3

y cancels out and left with...

2x=15

  x=3

that becomes

3x=18

find x

18/3= 6

x=6

Then plug in x (which is 6) to one of the equations to solve for y

6- 3y= 3

-3y= 3-6

-3y= -3

y= 1

(x, y) equals (6, 1)

Answer:

Shelly walked farther by 0.0666666666 or 0.07

Step-by-step explanation:

1 divided by 3 = 0.333333333

4 divided by 15 = 0.266666666

0.33 is greater than 0.26, so Shelly walked farther by 0.33 - 0.26 = 0.07