Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x

Answer:

The answer is C.

Answer:

~ 97 ft

Step-by-step explanation:

cos = adj/hyp

cos61 = adj/200

200 * cos61 = adj

adj = 96.961924049267406

~ 97 ft

The foot of the cable is 95 feet away from the base of the tree.

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the sides of the triangle.

We have,

The angle between the ground and the cable is given as 61º.

In a right triangle, the side opposite the angle (in this case, the height of the tree) is related to the hypotenuse (the length of the cable) and the adjacent side (the distance from the foot of the cable to the base of the tree) by the trigonometric function cosine.

Cosine(angle) = adjacent/hypotenuse

Cos(61º) = adjacent/200 ft

adjacent = Cos(61º)x200 ft

adjacent ≈ 0.475 x 200 ft

adjacent ≈ 95 ft

Therefore, the foot of the cable is 95 feet away from the base of the tree.

Learn more about Trigonometric Ratio here:

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Hope this is straightforward.

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.

According to the question,

The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]

⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]

⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]

⇒[tex]-12x=bx[/tex]

⇒ [tex]b=-12[/tex]

∴  [tex]b=-12[/tex]

Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].

Then Value of b is - 12.

Option(B) is correct answer.

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Answer: We will be working with the numbers 1-4, you can change the numbers to anything, just change the math.

The mean is the "average" of a set of numbers. Add up ALL the numbers, and then divide by how many numbers there are.

Ex. 1+2+3+4 then, 10/4 =2.5

The mode is the number that occurs most frequently in a set of numbers.

Ex. 1, 2, 2, 2, 3, 4, 2, 2, 4, : The mode would be 2.

The range is the difference between the smallest and highest numbers.

Ex. 1, 2, 3, 4, ,3, 2, 3, 4, : Put all the numbers in order, then subtract highest from lowest.

1,2,2,3,3,3,4,4

4-3=1 The range would be 1.

Answer:

Answer:

B

Step-by-step explanation:

Given

5 [tex]\frac{11}{40}[/tex]

= [tex]\frac{5(40)+11}{40}[/tex]

= [tex]\frac{200+11}{40}[/tex]

= [tex]\frac{211}{40}[/tex] → B

Step-by-step explanation:

my horses are working and in the image above

just need an answer                            

Answer:

the coordinates from all of the transformations are (1,0) (3,0) (5,-3) (0,-3)

Step-by-step explanation:

after using the first rule the coordinates were (-1,0)(-3,0)(-5,3)(0,3)

after reflectiong it over the x-axis (-1,0)(-3,0)(-5,-3)(0,-3)

after reflecting it over the y-axis it gave the final answer of (1,0) (3,0) (5,-3) (0,-3)

Answer:

will be -0.667 so the answer will be greater than 0

Answer:

33.3% I think lpl

Step-by-step explanation:

Answer:

The angle corresponding to angle 4 is angle 8

Answer:

$75.25

Step-by-step explanation:

Given data

Original price =$125

Discount =45%

Tax=5.2%

Let us find the discount

45/100*125

0.45*125

56.25

Let us find the tax

5.2/100*125

0.052*125

6.5

Hence the amount is

125-56.25+6.5

=$75.25

Step-by-step explanation:

base is 12, hypotenuse is 20

so X² is h²-b²

so X=16

Answer:

its 6

Step-by-step explanation:

Answer:

Option D, 5 ounces

Hope this helps!

Answer:

The answer is A

Step-by-step explanation:

If two lines are perpendicular to that same line, then they are parallell.

Answer:

7700 in taxes

27300 pesos remaining

7700 en impuestos

Quedan 27300 pesos

Step-by-step explanation:

I bought a TV that cost 35,000 pesos. If at customs I must pay 10% for nationalization tax and 12% on the nationalized VAT price. How much money did I pay in total just in taxes?

Answer:D

Step-by-step explanation:

Answer:

(y-7) = 2(x-1)

Step-by-step explanation:

The point slope form of a line with slope m passing through (a,b) is

(y-b) = m(x-a)

here slope m = (7-3)/(1- -1) = 4/2 = 2

The point used was (1,7)

So the equation is

(y-7) = 2(x-1)

Note:

#11 is correct

Answer:

5416.96 square yards

Step-by-step explanation:

To find the maximum possible area, increase the dimensions by 15%, since the measurement error may be up to 15%.

512(1.15) = 588.8

8(1.15) = 9.2

Find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = (588.8)(9.2)

A = 5416.96

So, the maximum possible area is 5416.96 square yards

Answer:

b

Step-by-step explanation:

10.5 rounded to 14.25 =15 so that is called natural number

Answer:

The lateral area of a cone is 141.4 square centimeters

Step-by-step explanation:

Mathematically, we have the formula for the lateral area of a cone as;

A = pi * r * l

where r is the radius of the cone and l

is the slant height of the cone

Mathematically, the radius is simply half the measure of the diameter

we have that as 10/2 = 5 cm

So substituting these values;

A = 22/7 * 9 * 5

A = 141.4 square centimeters

Answer:

for each x, the difference in the y value it has an origin at (0,5)

Step-by-step explanation:

if x equals 0, y equals 5.

if x equals 1, y equals 7 and so on

if x equals -1, y equals -5 and so on.

Answer:

I dont know to be honest I dont remember so yeahmmmm ummmmm

Answer:

Step-by-step explanation:

The equation for this is

12(x + 1) = 10(10 - x) and

12x + 12 = 100 - 10x and

22x = 88 so

x = 44

Answer:

Step-by-step explanation:

I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.

I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.

When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.

AD: y = -1/2x + 2

BE: y = 2x

If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.

-1/2x + 2 = 2x and

2.5x = 2 so

x = .8

And if x = .8, we can sub that into either equation to find y:

y = 2(.8) so

y = 1.6

So the coordinates of C are (.8, 1.6).

Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.

Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:

AC = .8944

BC = .4472

This allows me to use the Law of Cosines to find the measure of angle A.

Angle A = 26.56°

Now I can use the area formula for a triangle that says

[tex]A_{triangle}=\frac{1}{2}AB*ACsinA[/tex] and

[tex]A=\frac{1}{2}(1)(.8944)sin26.56[/tex] so

A = .1999 units squared

Answer:

your answer is option B

Answer:

Your answer came out to be B.

Answer:

Step-by-step explanation:

The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.

Write a system of inequalities that can be used to represent this situation.

The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer