The U.S. Capital building includes a statue on top representing freedom. If a person stood outside the building with a direct line-of-sight of 983 feet to the top of that statue and an angle of elevation of 17o , what would be the distance from the ground below the statue to the top of the statue?

Answer:

f=2

Step-by-step explanation:

First, you move the variables to the left side of the equation and change its sign.

After doing so, you  have 4f -5f =2.

Now, combine like terms. 4f-5f = -f, or -1f. Either way is fine.

Your equation looks like this now: -f = -2

Now remove the negative symbols due to their being one on both side.

f=2

Mark brainliest if possible please! Have a nice day.

Let's focus on g(x) for now.

0.2 = 1/5

f(x) = log(x) is the parent function

0.2*f(x) = 0.2*log(x) .... vertical compression by factor of 5

0.2*f(x+14) = 0.2*log(x+14) .... shift 14 units to the left

0.2*f(x+14)+10 = 0.2*log(x+14)+10 .... shift 10 units up

g(x) = 0.2*log(x+14)+10

The transformations to go from f(x) to g(x) are:

The domain of g(x) is x > -14 to ensure that x+14 > 0. This is so we avoid applying a log to 0 or a negative value. The parent function domain was x > 0. Note how the domain shifted 14 units to the left (step 2)

======================================================

Now onto h(x)

f(x) = log(x)

5f(x) = 5log(x) .... vertical stretch by factor of 5

5f(x+14) = 5log(x+14) ... shift 14 units left, just like earlier

5f(x+14)-10 = 5log(x+14)-10 ... shift 10 units down

h(x) = 5log(x+14)-10

The transformations to go from f(x) to h(x) are:

This time h(x) is taller compared to f(x), while g(x) is more vertically squished compared to f(x). Both involve being shifted 14 units to the left, so both g(x) and h(x) have the same domain. Vertical shifting and compressing/stretching does not affect the domain.

The range of f(x), g(x) and h(x) is the set of all real numbers.

Answer:

-9

Step-by-step explanation:

I hope this helps!

Answer:

-9

Step-by-step explanation:

Please make me Brainliest

Answer:

im pretty sure its true

Step-by-step explanation:

so sorry if its wrong, hope it helps!

Answer:

3.25lbs in the last 4 months

Step-by-step explanation:

Answer:

bottom right hand corner is false

Step-by-step explanation:

Key word perpendicular, it just needs to have relectional symmetry across the line that goes across the figure

Answer:

C

Step-by-step explanation:

Answer:

y=-3x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

27,33

9*3 is 27

11*3 is 33

33-27 is 6

i only have one, sorry!

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

The way I've done it, there isn't a second pair.

I suppose you could do it this way.

9/11 = -27/-33

-27 - - 33 = 6

So the second pair could be

(-27, - 33)

Answer: the pattern is that the rectangles width and length get timed 2.

Step-by-step explanation: that pattern will continue until the rectangle will get bigger than the unobservant universe...

Answer:

Step-by-step explanation:

step one:

let y be the amount of the gift card

and let x be the number of cups of coffee bought

given that Audrey bought 2 cups x=2

y-2.50x=45

step two:

substitute x= 2 in the expression we have

y-2.5(2)=45

y-5=45

solving for y

y=45+5

y=$50

the expression is y-2.50x=45

the gift card is worth $50

-5x > 15

Divide both sides by -5

x < -15/5

Simplify

x < -3

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

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Answer:

C

Step-by-step explanation:

When the steps are followed. They both pay the same amount

Answer:

C

Step-by-step explanation:

A: Helen paid $60 at store A for 4 Dress Shirts

B:Henry bought 4 dress shirts at Store B for $63

D: (1 shirt)Store A with discount is $15 and at Store B (with $9 coupon) $9 , though it is true with one shirt, it is not certain this will happen with a greater amount of shirts.

Answer:

The person with the larger value means they are moving at a higher acceleration

Step-by-step explanation:

Renee: 10 miles / 105 minutes = 0.095 mi/min

Amy: 8 miles / 90 minutes = 0.088 mi / min

Answer:

Step-by-step explanation:

Given that the equation that represents the total cost is given as

C=900+100p--------1

this equation is the same as the equation of a straight line, and we can deduce from it when we compare it the straight line equation

the equation of a line is given as

y=mx+c------2

comparing equation 1 and 2 we have the slope as

m=100

In the context of this problem m=100 means that the cost of producing a phone per material and labour cost is $100

Answer:

The slope of the function is 100 which represents the additional cost to produce each phone.

Step-by-step explanation:

The slope shows how much more Lily must pay for each additional phone that is manufactured, representing the additional cost of producing each phone attributed to labor and materials.

Have a good day :)

A function assigns the values. The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

A function assigns the value of each element of one set to the other specific element of another set.

The function that represents a function with zeros at -3,-1, 0, and 6 is

f(x)=(x+3)(x+1)(x+0)(x-6)

f(x)=x(x+3)(x+1)(x-6)

f(x)=x(x-6)(x+3)(x+1)

Hence, The function that represents a function with zeros at -3,-1, 0, and 6 is f(x)=x(x-6)(x+3)(x+1).

Learn more about Function:

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Answer:

if you're sating 200 tens(10), then it equals 2000

Step-by-step explanation:

because you'd multiply them, and 200 times 10 equals 2000.

and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000

Answer:

z

Step-by-step explanation:

Answer: On 38+7k=8(k+4) k is going to equal 6. On 3(2x-1)=9(x+3) x is going to equal -10.

Step-by-step explanation: 38+7k=8k+32=                            6x-3=9x+27

                                              38=1k+32=                                     -3=3x+27

                                               6=1k k=6                                           -30=3x x=-10

Answer:

There is exactly one more real solution or there is exactly one more complex solution

Step-by-step explanation:

A quadratic equation is a polynomial of degree two

What this means is that a polynomial has two answers.

Now, from the question, we have an answer already which is a real root

Then the other answer which we do not have can take the form of two answers

It can either be a complex root or other wise be a real root

So the answer to this question is that ;

There is exactly one more real solution or there is exactly one more complex solution

Answer:

the answer is 15.25/lbs

Step-by-step explanation:

you just plug in 1.22 (12.50) pls vote if my answer was right

Answer:

$15.25

Step-by-step explanation:

Divide 12.50 by 100 to get 0.125

Multiply 0.125 times 122 to get 15.25

You divide by 100 to get 1% of what $12.50 is, then multiply that by 122 to get $12.50 + a 22% profit.

Finally, just add your units to get the answer of $15.25 per pound.

Answer:

11. A) x = 0

y = 2x + 5

=> y = 2 * 0 + 5

=> y = 0 + 5 = 5

=> y = 5 (First blank)

x = 1

y = 2x + 5

=> y = 2 * 1 + 5

=> y = 2 + 5 = 7

=> y = 7 (Second blank)

x = 2

y = 2x + 5

=> y = 2 * 2 + 5

=> y = 4 + 5

=> y = 9 (Third blank)

x = 3

y = 2x + 5

=> y = 2 * 3 + 5

=> y = 6 + 5

=> y = 11 (Fourth blank)

x = 4

=> y = 2x + 5

=> y = 2 * 4 + 5

=> y = 8 + 5

=> y = 13 (Fifth blank)

11. B)  x = 0

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 0 * 0 + 1

=> y = 0 + 1

=> y = 1 (First blank)

x = 1

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 1 * 1 + 1

=> y = 3 + 1

=> y = 4 (Second blank)

x = 2

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 2 * 2 + 1

=> y = 12 + 1

=> y = 13 (Third blank)

x = 3

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 3 * 3 + 1

=> y = 27 + 1

=> y = 28 (Fourth blank)

x = 4

=> y = [tex]3x^{2} + 1[/tex]

=> y = 3 * 4 * 4 + 1

=> y = 48 + 1

=> y = 49 (Fifth blank)

For more info, here's a picture,

If my answer helped, kindly mark me as the Brainliest!!

Thank You!!

Answer:

(6,-3) and (-4, -3) = zero slope

(-7, 8) and (-7, 0) = undefined slope

(2, 4) and (5, 1) = negative slope

(3, 5) and (-1, 2) = positive slope

:)

Step-by-step explanation:

got it right on edge

Answer:

3+15+3-42

=18+3-42

=21-42

=-21

Answer:

9+10 is 19 i-

Step-by-step explanation:

Answer:

I think around 17 min...

Step-by-step explanation:

there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....

60/8= 7.5 and 60/ 6=10

so 7.5+10 = 17.5

somewhere around there

Answer:

3:5

Step-by-step explanation:

the initial ratio is

15:25

we can divide both numbers by five though

15/5=3

25/5=5

3:5

I hope this helped :)

Answer:

(a) 0.25

(b) 0.125

Step-by-step explanation:

The probability of the child being a boy or a girl is 50%.

That is, P (B) = 0.50 = P (G).

It is provided that the family selected has three children.

(a)

Compute the probability that the family has three boys if it is known that one child is a boy as follows:

[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]

                 [tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]

Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.

(b)

Compute the probability that the family has three boys if it is known that the first child is a boy as follows:

The gender of the children are independent of each other.

So, if the first child is a boy then the probability of having three boys is:

P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)

                               = (0.50)³

                               = 0.125

Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.