Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place.

Answer:

x-intercepts are points at which the curve intercepts the x-axis, so when y = 0.

If the vertex of a quadratic function is on the x-axis, there will be only one x-intercept since the parabola will intersect the x-axis at one point only.

If the vertex of the function touches the x-axis, the zero at this point will have a multiplicity of two.  For example, if the vertex is at (4, 0), and therefore the zero is at x = 4, then the function will be [tex]y=a(x - 4)^2[/tex] (where a is some constant).

Vertex form of parabola

Where

So

if vertex is on x axis k is 0 and the parabola has only 1 x intercept

The form will be

If no withdrawls were made, the total amount of money Yoko would have in her account in 8 years is $6,319.84.

When an account is compounded semiannually, it means both the amount deposited and the interest accrued increases in value twice yearly.

The formula that can be used to determine the value of the account in 8 years is:

FV = P (1 + r)^nm

$4000 x (1.029)^(2x8) = $6,319.84

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

5y^2(4y^4 - 3y^2 +8

Step-by-step explanation:

20y^6 - 15y^4 + 40y^2

If she adds songs new in constant amount like 2 per week

Then it will form an arithmetic sequence.

Answer:

[tex]f(w)=116+4w[/tex]

Step-by-step explanation:

Iris has 120 songs on her playlist.  Each week, she downloads 4 new songs.  Write an expression to show the total number of songs on Iris's playlist after [tex]w[/tex] weeks.

This scenario can be modeled as an arithmetic sequence since Iris is adding a constant number of songs to her playlist each week.

Arithmetic sequence

General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]

where:

We are told that she starts with 120 songs on her playlist, so [tex]a=120[/tex]

We are told that she adds 4 new songs each week, so [tex]d=4[/tex]

Also, [tex]n=w[/tex]

Substituting these values into the formula:

[tex]\implies a_w=120+(w-1)4[/tex]

[tex]\implies f(w)=116+4w[/tex]

Answer:

1. correct

2. incorrect

3. correct

4. correct

5. incorrect

Answer:

0.42

Step-by-step explanation:

when your multiplying decimals that small, it usually doesnt go into the whole number range

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

Answer:

D

Step-by-step explanation:

[tex](40 - 10)x - 12000 \geqslant 980[/tex]

[tex]30x - 12000 \geqslant 980[/tex]

Answer:

See below

Step-by-step explanation:

88ft * 12 in/ft = 1056 in    

1056 / 66 = 16 inches each board

by making 65 cuts , you can have 66   sixteen inch boards

Answer:

Step-by-step explanation:

A cube has 6 faces in square shape.

[tex]\boxed{Surface \ area \ of \ cube = 6a^{2}}}[/tex]

Here a is the measurement of edge. a = 8 in

                                   = 6*8*8

                                   = 384 square in

Answer:

5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer:

5.20 ft (nearest hundredth)

Step-by-step explanation:

[tex]\textsf{Height of an equilateral triangle}=\dfrac12(\sqrt{3}x)\quad \textsf{(where}\:x\:\textsf{is the side length)}[/tex]

Given:

[tex]\begin{aligned}\implies \textsf{Height} & =\dfrac12(6\sqrt{3})\\ & =3\sqrt{3}\\ & =5.20\: \sf ft \: \textsf{(nearest hundredth)}\end{aligned}[/tex]

Answer:

23/12

Step-by-step explanation:

2 1/2 = 5/2(3/3) = 15/6

1 1/3 = 4/3(2/2) = 8/6

15/6 - 8/6 = 7/6

7/6(1/2) = 7/12

16/12 + 7/12 = 23/12

Answer:

A transformation of (0,4), in order words, adding 4 to all your y-values.

Step-by-step explanation:

If you were to plot f(x) and g(x), you'd notice that all the y-values have been moved up by 4. To prove this to yourself, lets take the y-intercept.

Let x = 0, then g(0) = 2 and f(0) = -2, as you can see the y-value of the intersect has been shifted upwards by 4. Therefore, it can be said that f(x) has been shifted by (0,4), so f(x) +4 = g(x).

Answer:

option (b) 1.707

Step-by-step explanation:

1.707 is your required answer

Answer:

Step-by-step explanation:

First Multiply 12.8, 36, and 24 1/2 or 12.8 x 36 x 24.5 which equals 11289.6, and divide it by 2 which gives you 5644.8 inches of water.

There is no figure pic above

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

If the first bricklayer can build a wall in 15 days, he can build 1/15 of a wall in one day.

If the second bricklayer can build a wall in 10 days, he can build 1/10 of a wall in one day.

Therefore, if they work together, in one day they will complete

1/15 + 1/10 = 1/6

of the wall.

Since they can complete 1/6 of the wall in one day, they can complete 6/6 or one wall in 6 days.

Answer:

27 pies

Step-by-step explanation:

looking at the data we see that for every 26 pies sold, 13 (half) were chocoltae cream pies.

26 divided by 2 = 13

from this we can tell that if she were to sell 54 pies, half of sales would be chocolate, meaning 54 divided by 2

54/2 = 27 pies

Answer:

The groups have no common factor and can not be added up to form a multiplication. Final result : 9x8 + 6x4y + 12x4 + y2 ...

Step-by-step explanation:

so did u understand

Answer: 22puppies 88 adults

Step-by-step explanation: Ratio 1: 4 with 110 = 110/5 =22

if ration 1 is 22 then ratio 4 is 22×4

Answer:

y=3/2x+6

Step-by-step explanation:

M=slope

B=Y intercept

Check the picture below.

Answer:

h=97

Step-by-step explanation:

38+45=83

180-83=97

Answer:

The slope should be -2

You should go down 2 and go over 1.

Slope Intercept Form: y= -2x+3

Step-by-step explanation:

First, you need to identify the slope: (meaning whether it is a postive or negative.)

In this case, You have a negative slope.

This means instead of rising you're decreasing down.

When you "run" or move horizontally you MUST move right even if it's a negative slope.

Now, you need to identify your Y-Intercept.

Your Y-Intercept should be (0,3)

Next, you have to find your slope:

In order to find your slope, you need to find where the line is crossing the coordinate.

Start at (-1,5) and go down and over to (0,3)

Your answer should be that you went down 2 and over 1.

The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.

The slope is -2.

In Slope Intercept Form: y= -2x+3

Answer:

See below.

Step-by-step explanation:

The rate of a taxi is a $5 per mile and there is a service charge of $10. Represent the total cost, y, as a function of number of miles, x.

Answer:

Robin earns 635 + 0.02*(12350-6500) dollars.

Step-by-step explanation:

Just know please mark branliest

Answer:

4 inches x 8 inches x 3 inches = 96 inches³