5. Caroline is 12 years younger than
twice Anna's age.
Caroline is 32 years old. How old is
Anna?

Answer:

girl good luck I cant even do that.

Answer:

C. Since AB = CD = √41, the figure is a rectangle.

Explanation:

All of them AD, CB, DB, CA have a slope of 0.

Here measure the length units, 5 units horizontal and 4 units vertical. Thus we can conclude it is a rectangle.

Find diagonal Length:

Since AB = CD = √41, the figure is a rectangle.

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

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

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

Answer:

A) [tex]0.13[/tex]

Step-by-step explanation:

If a function [tex]f(x)[/tex] is continuous over the interval [tex][a,b][/tex], then the average rate of change over that interval is [tex]\displaystyle \frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\displaystyle \frac{f(b)-f(a)}{b-a}\\\\\frac{f(7)-f(2)}{7-2}\\ \\\frac{1.91-1.26}{5}\\ \\\frac{0.65}{5}\\ \\0.13[/tex]

Thus, the average rate of change over the interval [tex][2,7][/tex] to the nearest hundredth is [tex]0.13[/tex].

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

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

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

------------

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

------------

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

Answer:

3. The least value is 3.

4. The greatest value is 14.

5. The third quartile is 11

6. The first quartile is 6

7. The median is 8.

8. The range is 3-14.

Step-by-step explanation:

Check the picture below.

Answer:  0.000039

Step-by-step explanation: i us calculator

Answer:

0.000039.

Step-by-step explanation:

3.9 / 100,000

Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)

filling in the zeroes as you move alomg.

So its  0.000039

Answer:

1) 9y^10

2) 560u^16 v^15

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

x = +2 you add 2 every time

y = +2 you add 2 every time

2/2 = 1

The results of the absolute value expressions are:

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

Read more about absolute value expressions at:

https://brainly.com/question/3381225

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The median is always at the center of the box, we can say the median of our question is also at the middle of the box.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.

From the given data we see that;

Mean = 39,500

Median = 20000

Mode = 23000

Minimum = 15,000

Maximum = 255000

A general view of a box and whisker plot has been attached.

From the attached file, we can see the following;

- whiskers to the left and right of the box.

- The box starts from the lower quartile and stops at the upper quartile.

- The median is at the middle of the box

- The minimum is at the end of the left whisker

- The maximum is at the end of the right whisker.

1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.

2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.

3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.

To know more about graphs follow

https://brainly.com/question/25020119

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Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

Answer:

One Solution

Explanation:

change sides

one solution ↓

Answer:

One solution

Step-by-step explanation:

When solving for d, you get d = - 8

Answer:

$204

Step-by-step explanation:

Expression : 240 x 15%

15% x 100 = 0.15

Equation : 240 x 0.15 = 36

Final Answer : 36

240 - 36 = 204

#1

False

#2

False

#3

False

None of the above

Answer:

None of these

Step-by-step explanation:

To convert the parametric curve into Cartesian form,
rewrite the equation for [tex]x[/tex] to make [tex]\sin t[/tex] the subject:

[tex]x=2\sin t[/tex]

[tex]\implies \sin t=\dfrac{x}{2}[/tex]

Substitute this into the given equation for [tex]y[/tex]:

[tex]\begin{aligned}y & =3 \sin t\\\implies y & = 3 \left(\dfrac{x}{2}\right)\\y& = \dfrac{3}{2}x\end{aligned}[/tex]

Therefore, the Cartesian form of the parametric curve is:

[tex]y=\dfrac{3}{2}x[/tex]

Further Information

[tex]\dfrac{x^2}{2}+\dfrac{y^2}{3}=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \sqrt{2}, \textsf{ and vertex }\sqrt{3}[/tex]

[tex]x^2+y^2=6 \quad \textsf{is the equation of a circle}[/tex]

[tex]\textsf{with center (0, 0) and radius }\sf \sqrt{6}[/tex]

[tex]3x^2+2y^2=1 \quad \textsf{is the equation of a vertical ellipse}[/tex]

[tex]\textsf{with center (0, 0), co-vertex }\sf \dfrac{\sqrt{3}}{3}, \textsf{ and vertex }\dfrac{\sqrt{2}}{2}[/tex]

Answer:

x<7

Step-by-step explanation:

-3(x - 4) > -2x + 5 Distribute

-3x+12>-2x+5  Subtract 12 from both sides

-3x>-2x-7 Add 2 to both sides

-5x>-7 Simplify

x<7

Answer:

x < 7.

Step-by-step explanation:

-3(x - 4) > -2x + 5

-3x + 12 > -2x + 5

-3x + 2x > 5 - 12

-x  > -7      Note: we divide by -1 so the sign flips:

x < 7.      

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the following expression can be solved as follows ~

[tex] \frac{x}{3} + 1 = \frac{x}{8} + \frac{1}{11} \\ [/tex]

Taking LCM on both the sides ,

[tex] \frac{x + 3}{3} = \frac{11x + 8}{88} \\ [/tex]

On cross multiplying ,

[tex]( x + 3)88 = (11x + 8)3 \\ \\ \implies \: 88x + 264 = 33x + 24[/tex]

let's now gather the like terms at either sides of the equation and solve ~

[tex]88x - 33x = 24 - 264 \\ \\ \implies \: 55x = - 240 \\ \\ \implies \: x = \cancel\frac{ - 240}{55} \\ [/tex]

on further simplifying ,

[tex]\implies x = \frac{ - 48 }{ 11} \\ [/tex]

hope helpful ~

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

Answer:

Mean-average

Median-middle

Mode-Most Often Digit Entered (Most Common Digit)

Range-Least To Greatest

Step-by-step explanation:

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Answer

the range is the spread of your data from the lowest to the highest value in the distribution

Answer:

9

Step-by-step explanation:

To find the range, subtract the biggest number (here it's 9) and the smallest number (here it's 0).

9 - 0 = 9

Answer:

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

2x+2y = 8

Step-by-step explanation:

Simply multiply the first equation x + y=4 by 2:

x + y=4
*2      *2

(x + y)2 = 8

2x+2y = 8

x + y = 4  and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8

Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.