The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form
g(x) = (x – h)3 + k.

Answer:

it's B

Step-by-step explanation:

USE The venn diagram

11 said they own both devices so it will be in the middle

34 said they owned at least a phone

34-11 =23

Final answer:

The volume of the cylindrical oil drum is 9.426 cubic feet.

Explanation:

The volume of a cylindrical oil drum can be calculated using the formula V = πr²h, where r is the radius of the drum and h is the height. In this case, the diameter of the drum is given as 2 feet, so the radius is 1 foot (since the radius is half the diameter). The height of the drum is given as 3 feet. Therefore, the volume of the oil drum can be calculated as follows:

V = 3.142 × (1 foot)² × 3 feet

Calculating this, we get:

V = 3.142 × 1 foot × 1 foot × 3 feet = 9.426 cubic feet

So, the volume of the oil drum is 9.426 cubic feet.

The volume of the given figure is: 126π cubic inches.

A volume is defined as a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the attached figure will be the sum of the volume of the cylinder and twice the volume of the hemisphere. Therefore, the volume will be:

Volume = Volume of cylinder + 2(Volume of hemisphere)

Volume = (π × R² × H) + 2[²/₃π×R³]

Volume = (π×3²×10) + 2[(2/3)×π×3³]

Volume = 90π +36π

Volume  = 126π in³

Read more about Volume of Composite Figure at: https://brainly.com/question/12693294

#SPJ1

Answer:

-7

Step-by-step explanation:

To find f(-8), use the blue line labeled f(x) and go to -8 on the x axis and find its corresponding y value by moving vertically down from -8 to the blue line and find the y value of that point. You can see that the blue line hits (-8, -5) so the y value is -5 and f(-8) = -5.

Do the same thing for g(4) and you should find the red graph g(x) hits the point (4, 3). So g(4) = 3.

-1 * -5 - 4 * 3 = 5 - 12 = -7

Answer:

$325

Step-by-step explanation:

Time-share = $10 500

On first $10 000 ,

Commission at 3 % = 0.03 × 10 000 = $300

On remaining $500,

Commission at 5 % = 0.05 ×      500 =    25

                             Total commission = $325

Frank made $325 selling the time-share.

Answer:

B: (9, 1)

Step-by-step explanation:

The mid point is (5, 3).  Compare the x and y values to point A: (1,5)  

We can see that the 'x' coordinate is 4 units higher than point A, so the x value for point B will be 4 points higher than the x value of the mid point.  

             5 + 4 = 9

We can see that the 'y' coordinate is 2 units less than point A, so the y value for point B will be 2 points less than the y value of the  mid point.  

            3 - 2 = 1

Answer:

B coordinate is  ( 9 ,1).

Step-by-step explanation:

Given  : The midpoint of segment AB is (5, 3). The coordinates of point A are (1, 5).

To find : Find the coordinates of point B.

Solution : We have given

Midpoint of segment AB = (5, 3).

The coordinates of point A =  (1, 5).

Mid point : [tex]\frac{(x_{1}+x_{2}}{2} ,\frac{(y_{1}+y_{2}}{2})[/tex].

On plugging the values.

(5,3) = [tex]+\frac{1+x_{2}}{2} ,\frac{(5+y_{2}}{2})[/tex].

Now on comparing x coordinates

[tex](\frac{(1+x_{2}}{2})[/tex] = 5

On multiplying both number by 2

1 +[tex]x_{2}[/tex] = 10.

On subtracting both sides by 1.

[tex]x_{2}[/tex] = 9

Now on comparing y coordinates

[tex]\frac{(5+y_{2}}{2})[/tex] = 3

On multiplying both number by 2

5 +[tex]y_{2}[/tex] = 6

On subtracting both sides by 5.

[tex]y_{2}[/tex] = 1

Then B coordinate is  ( 9 ,1).

Therefore,  B coordinate is  ( 9 ,1).

Therefore, B coordinate is  ( 9 ,1).

Answer:

The nth term is [tex]a_n=4n-21[/tex]

Step-by-step explanation:

The given arithmetic sequence is -17, -13, -9, -5, ...

The first term of this sequence is [tex]a_1=-17[/tex].

The common difference can be found using any two consecutive terms.

The common difference is [tex]d=-5--9=4[/tex]

The nth term of arithmetic sequence is given by the formula:

[tex]a_n=a_1+d(n-1)[/tex]

We plug in the values to obtain:

[tex]a_n=-17+4(n-1)[/tex]

Expand

[tex]a_n=-17+4n-4[/tex]

Simplify:

[tex]a_n=4n-21[/tex]

Answe

255=222-22209/33

=6868

The lateral surface area of the prism with dimensions 4 ft, 3 ft, and 1.5 ft is 21 square feet.

To find the lateral surface area of a prism, you need to add the areas of all the lateral faces of the prism.

For a rectangular prism, the lateral surface area can be calculated by finding the perimeter of the base and multiplying it by the height of the prism.

In this case, with dimensions of 4 ft, 3 ft, and 1.5 ft for the rectangular prism:

Calculate the perimeter of the base: Perimeter = 2(length + width)

Perimeter = 2(4 ft + 3 ft) = 2(7 ft) = 14 ft

Then, multiply the perimeter by the height of the prism to get the lateral surface area:

Lateral Surface Area = Perimeter x Height

Lateral Surface Area = 14 ft x 1.5 ft = 21 square feet

The complete question is: Find the lateral surface area of the prism

Answer:

Option d -  720/750 ≈ 0.96                    

Step-by-step explanation:

Given : Of 750 people surveyed, 330 were male and 640 had cell phones. Of those with cell phones, 390 were female.

To find : What is the probability that a person surveyed was either male or had a cell phone?

Solution :

Let M be the number of males i.e. M=330

Let C be the number of cell phones i.e C=640

Total number of people = 750

Of 750 people surveyed, 330 were male

The probability of male is

[tex]P(M)=\frac{330}{750}[/tex]

Of 750 people surveyed, 640 had cell phones

The probability of cell phones is

[tex]P(C)=\frac{640}{750}[/tex]

Of those with cell phones, 390 were female.

i.e. reaming were male so 640-390=250

So, Probability of male and cell phone is

[tex]P(M\cap C)=\frac{250}{750}[/tex]

We have to find, the probability that a person surveyed was either male or had a cell phone i.e. [tex]P(M\cup C)[/tex]

Using formula,

[tex]P(M\cup C)=P(M)+P(C)-P(M\cap C)[/tex]

Substitute the values,

[tex]P(M\cup C)=\frac{330}{750}+\frac{640}{750}-\frac{250}{750}[/tex]

[tex]P(M\cup C)=\frac{330+640-250}{750}[/tex]

[tex]P(M\cup C)=\frac{720}{750}[/tex]

[tex]P(M\cup C)=0.96[/tex]

Therefore, Option d is correct.

Answer:

8 roses, 7 lilies

Step-by-step explanation:

8 roses = 20$

7 lilies = 8.25$

Added together they equal 28.75 $

I wrote zones but then noticed that we actually don't need :p

The answer is "a reflection in the y-axis"

Hope it helps!

Answer:

A'(-5,3) A"(-2,5)

Step-by-step explanation:

First, reflecting across the x axis makes the points (x,-y).

So we get A prime = (-5,3)

Then, we add 3 to the x value and 2 to the y value to get A"

So A" = (-2,5)

Answer:

A. (-5,-3)

B. (-6,-1)

C. (-3,-1)

D. (-2,-3)

Answer:

1/6

Step-by-step explanation:

2/12 simplified is 1/6

Answer:

1/6

Step-by-step explanation:

The fraction is the colored parts over the total number of parts

colored        2

----------- = -----------

total              12

This can be simplified by dividing the top and bottom by 2

2/2 =1

12/2 = 6

The fraction becomes 1/6

The use of gunpowder. Specifically military use, this helped fight wars and win wars because they were able to use the gunpowder. (Not 100% sure)

One important invention that was created in the Song dynasty was the invention of paper money.

Before paper money, people in China used metal and stone coins, which were bulky and could get really heavy at times. However, the paper money made it much easier to carry currency over long distances for trading without the large weight that metal coins had.

This invention affects the whole world today, as many countries have adopted the concept of paper money and still use it. Let me know if you need any clarifications or extra info, thanks!

~ Padoru

Answer:

Tamar

Step-by-step explanation:

Since we're rounding to the hundredths place, we need to see if the thousandths place is greater or equal to 5. Since it is less than 5, we round down to 72.63.

Answer: Tamar

Step-by-step explanation:

Since the number before the 3 is a 1, the number will stay the same and not be rounded up. If the number was 5 or above, it would be rounded up to a 4.

Answer:

The estimated area is [tex]416\frac{13}{16}\ ft^{2}[/tex]

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

[tex]9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft[/tex]

[tex]14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft[/tex]

step 2

Find the area of one wall

[tex](\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}[/tex]

step 3

Multiply the area of one wall by 3

[tex](3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}[/tex]

step 4

Convert to mixed number

[tex]\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}[/tex]

Answer: 3(10 x 14)

Step-by-step explanation: it said in the question or it's more like a hint: "Ivan needs to estimate the total area" and "estimated area in square feet that Ivan will paint?" those are hints to multiple then numbers kinda like adding but adding more into it.

Sorry if it didn't make sense but 3(10 x 14) is what I got in my information which I had written on a paper to figure out what the answer was to the question!

Have a wonderful day! God loves you.

The answer is A) 71 R12

The answer would be A) 71 R12

The answer is B.

There are about 391,000 of plants currently known to science.

Hope this helps.

The answer is B. There are more than 300,000 plant species

Answer:

Area = 3.897

Step-by-step explanation:

Remark

What you are subtly being told is the side of an equalateral triangle = P/n.

n = the number of sides

n = 3

P = 9

side = 9/3 = 3

The area of an equalateral triangle given 1 side is

Area = sqr(3)  * s^2  /4  

Area = 3.897

Answer: yes

Step-by-step explanation:

If you round, then $9 will round up to $10 and 52 will round down to 50. Then, you multiply 10 and 50, which equals 500, so it is a reasonable guess.

I tried, hope it helps!

1.y varies directly with x

2.substitute the value of x and y in the equation below

y=kx

where k is the constant term

60=20k

k=60\20

k=30

:y=30x.....is the law

To find y when x is 12

You reinstate the law which is y=30x

Then substitutes the value of x to determine y

y=30*12

y=36.

Robbin made more over the weekend

Answer:

1512 cm³

Step-by-step explanation:

l of larger block 2x bigger than smaller 1

= 2 × 9

= 18 cm

The breadth of the larger block is 2x bigger than the breadth for smaller 1

= 2 × 3

= 6 cm

Height of larger block is two times bigger than the smaller block

= 2 × 7

= 14 cm

Formula:

= 18 × 6 × 14

= 1512 cm³

Tada! :)

Check the three attached images.

The first exercise is quite self-explanatory. We have to draw two lines that pass through P and are tangent to the circle.

As for the second, since the circle is tangent to all three side of the triangle, we can conclude that the circle is inscribed in the triangle.

Finally, to draw the common tangent, you have to find the point of intersection between the two circles, and draw a line perpendicular to AB.

Answer:

0,2,4,6

Step-by-step explanation:

This sequence is arithmetic because the same number is being added each time: 2. With the others, the number being added changes every time.

ANSWER

[tex]0,2,4,6,8,...[/tex]

EXPLANATION

An arithmetic has a constant difference .

We check to see which of the given sequences has a constant difference.

0,2,4,6,8,... has a constant difference of

[tex]d=2-0=4-2=6-4=8-6=2[/tex]

hence it is an arithmetic sequence.

1,2,4,8,... is not an arithmetic sequence because there is no constant difference.

[tex]2-1 \ne4-2.[/tex]

1,4,8,13,... is also not an arithmetic sequence because there no constant difference.

[tex]4 - 1 \ne8 - 4[/tex]

The first option is correct.

Answer:

x = 1

Step-by-step explanation:

distribute parenthesis on left side and simplify

4x - 2x + 6 = 8

2x + 6 = 8 ( subtract 6 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Answer:

Area = 52 cm2

Step-by-step explanation:

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 2*10 = 20

A2 = 8*4 = 32

Whole area = A1 + A2 = 20 + 32 = 52 square cm.

You can do this other way around and you get the same answer.

First you have to extend the line. It gave you two rectangles.

To find out the area you have to add this two surfaces.

A1 = 4*10 = 40

A2 = 2*6 = 12

Whole area = A1 + A2 = 40 + 12 = 52 square cm.

Answer- z is equal to -5

[tex]\bold{Hey\ there!} \\ \bold{Simply\ both\ sides\ of\ your\ equation\downarrow} \\ \bold{2z+(-4z)+(-18)=-8} \\ \bold{Now, \ you \ have\ to \underline{Combine\ your\ like\ terms}\downarrow} \\ \bold{\bullet \ 2z\ \& \ -4z}\\ \\ \bold{2z+(-4z)=-2z}\\ \bold{-2z-18=-8}\\ \bold{Nextly,\ you\ have\ to\ \underline{add}\ by\ 18\ on\ your\ sides\downarrow} \\ \bold{-2z-18+18=-8+18} \\ \bold{Cancel:-18+18} \\ \bold{Keep:-8+18} \\ \bold{\underline{Divide}\ by\ -2\ on\ your\ sides\downarrow}\\ \bold{\frac{-2z}{-2}}[/tex] [tex]\bold{= \frac{10}{-2}} \\ \bold{Cancel: \frac{-2z}{-2}} \\ \bold{Keep:\frac{10}{-2}} \\ \\ \boxed{\boxed{\bold{Answer: z=-5}}}\checkmark \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}\\ \\ \frak{LoveYourselfFirst:)}[/tex]

Ann sent a total of 21 texts.

Jim sent a total of 31 texts.

Miguel sent a total of 63 texts.