A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is θ=60∘, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)

Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.

The equation for an increasing exponential function is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem:

The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:

[tex]A(t) = A(0)(1.1)^t[/tex]

[tex]2A(0) = A(0)(1.1)^t[/tex]

[tex](1.1)^t = 2[/tex]

[tex]\log{(1.1)^t} = \log{2}[/tex]

[tex]t\log{1.1} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]

[tex]t = 7.3[/tex]

It will be 7.3 years before the value is doubled.

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The length of the diagonal of the square is d = 5√2.

Given that, the measure of the side of the square is 5.

We need to find the length of the diagonal of the square.

The diagonal of a square formula is d = a√2; where 'd' is the diagonal and 'a' is the side of the square.

Now, d = 5√2

Therefore, the length of the diagonal of the square is d = 5√2.

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Answer: look it up

Step-by-step explanation:

Answer:

2 coefficients

Step-by-step explanation:

2n,3p Are your Coefficients because they have variables

Step-by-step explanation:

-2 and  3 are coefficients while n and p are the variables

Answer:

i think it is like this.                                      < means less than                                                                  

Step-by-step explanation:

let x be a and let y be any number less than 14.

a + 5 < 14

a + 5 < 14

a + 5-5 < 14-5

a + 0   <  9

a < 9

Answer:

Quadrant I

Step-by-step explanation:

There are four quadrants that go like this.

Quadrant I = Top Right

Quadrant II = Top Left

Qudrant III = Bottom Left

Quadrant IV = Bottom Right

As long as you can graph an equation you just need to remember the quadrants.

Answer:

4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].

Step-by-step explanation:

Answer:

16, 4, 25, x², x ²⁰

. . . . . . . .

Answer:

14 batches

Step-by-step explanation:

take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17

85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17

so 14 full batches

Answer:

1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.

2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.

3. the picture attached is the answer

Step-by-step explanation:

hope it will help you

Answer:

straight line through (0,4) and (2,0), shade everything above it

Step-by-step explanation:

First solve the equality, which will give you a straight line.

Then check if the inequality (the > sign) means you have to shade the area above or below it.

2x + y = 4 can easily be solved by first taking x=0, then you find y=4, hence (0,4) is a solution.

Then take y=0, then you find 2x = 4 so x=2, hence (2,0) is a solution.

Plot these two points and draw a line through them.

Now, since 2x+y has to be larger than 4, all the points to the right and above the line are valid. So that's the area you have to shade.

Answer:

Step-by-step explanation:

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ayus lng ako hahaha hshshs

Answer:

C is the answer

Step-by-step explanation:

Because he have most tresures.

Answer: deep diving dan

Step-by-step explanation: he dived 26 times and found 104 treasure boxes

Answer:

do FYI kkkkkkjjj ghost oh go j

The expression for the total cost will be y = 80 + 60x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a plumber has a fixed call-out rate of $80 and an hourly rate of $60.

The expression will be formed by assuming the hourly rate to be x dollars. The expression will be written as below:-

y = 80 + 60x

Here y is the total cost 80 is the fixed cost and x is the hourly rate.

Therefore, the expression for the total cost will be y = 80 + 60x.

The complete question is given below:-

A plumber has a fixed call-out rate of $80 and an hourly rate of $60. Write an expression for the total cost.

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The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.

Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.

Answer:

67/5

Step-by-step explanation:

17 1/5

17x5= 85 + 1= 86/5

3 4/5

3x5=15+4= 19/5

86/5 - 19/5=

86-19= 67/5

hope this helps!

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630

Answer:

Option C): f(x) = 3x - 4.

Step-by-step Explanation:

A linear function in slope-intercept form is given by f(x) = mx + b where:

We can solve for the slope by using the following formula:

[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]

Choose two points from the graph and substitute their values into the slope formula.

[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]

Therefore, the slope of the line is 3.

As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis.  We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.

Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.

We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.

f(x) = mx + b

⇒  2 = 3(2) + b

⇒  2 = 6 + b

⇒  2 - 6 = 6 - 6 + b

⇒  -4 = 0 + b

⇒  - 4 = b

Hence, the value of the y-intercept is: b = 4.

Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.

Linear functions

Linear equations

Slope-intercept form

_______________________________

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Answer:

f(x)=3x-4

Step-by-step explanation:

Answer:

Try it as a RWS triangle

Answer:

17.8 is the answer

Step-by-step explanation:

89/5 (the improper fraction of 17 4/5) divided is 17.8

Answer:

first method :

⅘ in decimal is 0.8 (4/5 = 8/10 = 0.8)

17 + 0.8 = 17.8

(this is the easiest method of doing this)

second method :

(17 × 5 + 4)/5

= 89/5

and dividing this u get 17.8

(but this is a lengthy method, as it will take time to devide)

Step-by-step explanation:

brainliest plz

Product of roots

[tex]\\ \sf \longmapsto \dfrac{c}{a}[/tex]

[tex]\\ \sf \longmapsto \dfrac{-7}{2}[/tex]

Answer:

how many children do you have?

Step-by-step explanation:

you said ask a question

9514 1404 393

Answer:

Step-by-step explanation:

We want ...

  c1·f1(x) +c2·f2(x) +c3·f3(x) = g(x) ≡ 0

Substituting for the fn function values, we have ...

  c1·x +c2·x² +c3·(2x -4x²) ≡ 0

This resolves to two equations:

  x(c1 +2c3) = 0

  x²(c2 -4c3) = 0

These have an infinite set of solutions:

  c1 = -2c3

  c2 = 4c3

Then for any parameter t, including the "trivial" t=0, ...

  (c1, c2, c3) = (-2t, 4t, t)

__

f1, f2, f3 are NOT linearly independent. (If they were, there would be only one solution making g(x) ≡ 0.)

Answer:

24.15

Step-by-step explanation:

10.35 x 2 = 20.7 But you still need 1 bag 1/3 of 10.35 =  3.45 Add all of them up = 24.15

Answer: -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.92,

As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

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