A set of parents started a savings account for their newborn child. After 7 years, the
child's account had 900 dollars. The balance in the account continues to grow by a
factor of 5 in value every 7 years. Let n be the number of 7-year periods since the
account was started.
Which function, f(n), represents the value of the savings account?

Answer:

Length = x - 4 meters

Step-by-step explanation:

Area of a rectangle = length × width

Area of a rectangle = x² - 16

width of the rectangle = x + 4 meters.

Length of the rectangle = ?

Recall:

Difference of two perfect square x² - 16 = (x + 4)(x - 4)

Area of a rectangle = length × width

(x + 4)(x - 4) = length * x + 4

Length = (x + 4)(x - 4) ÷ x + 4

Length = x - 4 meters

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

Answer:

0.111111...

Step-by-step explanation:

Hi,

this function is stating that for any x the f is 9(3)^x.

SO if x was -4 it would be 9(3)^-4

Following order of operations we calculate the exponent first.

the answer is 0.1111111...

Answer:

A

Step-by-step explanation:

A

The trip odometer reading will be between 378.3 km and 378.4 km. Nominally, it will read 378.3 km.

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Determine tan(t) if cos(t) = -12/13 and sin(t) = 5/13

tan(t) = [tex]\frac{-5}{12}[/tex]

Method 1:

The sketch of the trigonometry is attached to this response.

Since cos(t) is negative and sin(t) is positive, then t should be in the second quadrant as shown in the sketch. A triangle is formed.

We know that, in a given triangle, the cosine of a given angle is the ratio of the adjacent side to the hypotenuse side.

i.e

cos (t) = adjacent / hypotenuse = - 12 / 13            

Where;

adjacent = -12                  [the adjacent side is in the -x direction]

hypotenuse = 13

Also, the sine of a given angle is the ratio of the opposite side to the hypotenuse side.

sin (t) = opposite / hypotenuse

Where;

opposite = 5

hypotenuse = 13

These sides - opposite, adjacent and hypotenuse - are labelled in the sketch.

From this triangle and the labels, the tangent can be found.

We know that the tangent of a given angle is the ratio of the opposite side to the hypotenuse side. i.e

tan (t) = opposite / adjacent

Where;

opposite = 5

adjacent = -12

Therefore,

tan (t) = [tex]\frac{-5}{12}[/tex]

Method 2:

The tangent of an angle is the ratio of the sine of that angle to the cosine of that angle. i.e

tan(t) = sin(t) / cos (t)              ---------------(i)

sin(t) = 5 / 13

cos(t) = -12 / 13

Substitute for sin(t) and cos (t) in equation (i)

tan(t) = [5 / 13] / [-12 / 13]

tan(t) = [5 / 13] x [-13 / 12]

tan(t) = [tex]\frac{5}{13} * \frac{-13}{12}[/tex]

tan(t) = [tex]\frac{-5}{12}[/tex]

Angles (4x + 4°) and (6x - 4°) are supplementary.

That is :

[tex]\hookrightarrow \: 4x + 4 \degree + 6x -4 \degree = 180 \degree[/tex]

[tex]\hookrightarrow10x = 180 \degree[/tex]

[tex]\hookrightarrow x = 18 \degree[/tex]

__________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

62

Step-by-step explanation:

Draw a line from the bottom of the 4 foot line straight across (horizontally) until it hits the vertical line on your left.

The two lines (the one you drew and the left vertical line) meet at right angles.

The upper figure is a rectangle.

Area = L * W

L = 5

W = 4

Area = 5 * 4

Area = 20

Now the bottom rectangle can be found the same way.

Area = L * W

L = 14

W = 3

Area = 14 * 3

Area = 42

The total area = 42 + 20

Total area = 62.

The comment was correct.

Answer: 9.3 in.

Step-by-step explanation:

Jacob wants to enlarge the larger side of the photo which is the 6 in. part, to becomes 14 in.

This means that Jacob wants to increase the larger side by a scale factor of:

= Length of enlarged picture / Length of original

= 14 / 6

= 2.33

2.33 is therefore the scale factor.

The shorter side will also increase by this same scale factor:

= 4 * 2.33

= 9.3 in.

Answer:

Step-by-step explanation:

The - tells you that it is upside down. So that much of your choice is correct for certain.

The 1/8 squishes the graph something fierce. So of those graphs given, the one you chose is most likely correct. But you are right to be a little miffed at the question. You should never have to choose an answer with only a picture to guide you. If you have a graphing calculator, try y = -1/8 x^2 which is a good candidate for all the graphs.

Answer:

B

Step-by-step explanation:

because area of prism = L×W×H

so

[tex] \frac{3}{4} \times \frac{5}{2} \times \frac{5}{4} [/tex]

answer is 75/32

hope this make sense:)

Answer:

Hi there uwu The answer is 75/32, also explained by the other answerer!

Step-by-step explanation:

Answer:

lesser x = -10.32

greater x = -3.68

Step-by-step explanation:

Answer:

(2,1)

Step-by-step explanation:

the best way to figure it out is with a graph

(-3,-9) to (4,5)

for the x

-3 to 4 is exactly 7 points away so you should count 5 over and stop.

for the y

-9 to 5 is exactly 14 points away so you should count in twos and stop at 5 sets of 2

hope this helps <3

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

Answer:

60 cups of flour

Step-by-step explanation:

Since it takes 20 cups of flour for 4 loves of bread this means we're going to need to multiply 20x3=60

Answer:

4

Step-by-step explanation:

f(-8)=-2(-8)-12

f(-8)=16-12

=4

Answer:

1/5 of 30 = 6 hes left with 24

10% of 24 = 2.4 hes left with 21.6

he has 21.6/30 left

Multiply number of cakes by 1/5 and 10%

Sali = 30 x 1/5 = 20/5 = 6 cakes

Jane = 30 x 10% = 30 x 0.10 = 3 cakes

Total he kept = 30-6-3 = 21 cakes left

Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

Answer:

meow meow

Step-by-step explanation:

Step-by-step explanation:

maybe this can help you with your problem

a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The value of tan 60 degree is [tex]\sqrt{3}[/tex].

[tex]Area = \frac{1}{2}bh[/tex]

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].

Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]

⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex]                   (because tan60=√3)

⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]

⇒[tex]h = 12[/tex]

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4[tex]\sqrt{3}[/tex] unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]

⇒[tex]Area =24\sqrt{3}[/tex]

Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].

Learn more about tangent of an angle and area of a triangle here:

https://brainly.com/question/15110994

#SPJ2

Answer:

Hello yes indeed I am here now vote me brainliest.

Step-by-step explanation:

Why you ask? well first I want it even though I did not do anything to help him/her even though, it is funny. :)

Answer:

First one:

1², 2², 3² and so on (Square of 1,2,3,4,5,6,7.....)

Second one:

2, 13, 26, 41...

add 11, add 13, add 15 (add increasing odd numbers, beginning from 11)

Third one:

4, 14, 29, 49

+10, +15, +20 and so on (add the multiple of 5,beginning from 10)

Fourth one:

1, 8, 27, 64

1³, 2³, 3³, 4³ and so on(cube of 1,2,3,4,5,6,7.....)

Brainliest please

Answer:

C. 3

Step-by-step explanation:

The y intercept will always be the 'b' in the formula

y= mx+b

since your formula is y = -8x +3, and 3 is in the place of "b", your y intercept will be 3

Answer:

C.3

Step-by-step explanation:

In the equation of y = -8x +3 you can find the y - intercept by looking at number which replaces b which is a positve three. Meaning that your y - intercept would be answer choice C which is positive three.

What is x equivalent to?

Answer: c

Step-by-step explanation:

Answer:c

Step-by-step explanation: it makes the most sense