Kayla randomly surveyed the eight-grade classes at her school and found that 12 out of 50 own a pet. Based on these data, how many of the 150 eight-grade students in kayla’s school would be expected to own a pet?

Answer:

Part 1) The graphs open downward

Part 2) The vertex is the point (-2,5)

Part 3) The axis of symmetry is x=-2

Step-by-step explanation:

step 1

we have

[tex]y=-\frac{1}{3}(x+2)^2+5[/tex]

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex is a maximum

step 2

The quadratic equation is written in vertex form

[tex]y=a(x-h)^2+k[/tex]

where

(h,k) is the vertex

so

In this problem

The vertex is the point (-2,5)

step 3

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

The x-coordinate of the vertex is -2

therefore

The axis of symmetry is x=-2

Answer:

  g(x) = 2^(x+3) -2

Step-by-step explanation:

To translate a function f(x) right h units and up k units, it becomes ...

  g(x) = f(x -h) +k

Here, your translation is (h, k) = (-3, -2), so the function becomes ...

  g(x) = f(x +3) -2

  g(x) = 2^(x+3) -2 . . . . matches the last choice

Answer:

D.

Step-by-step explanation:

Answer:

2 people

Step-by-step explanation:

8 have both that means that of the 11 people that have cats 3 have only cats and of the 13 that have dogs 5 only have dogs therefore 2 people don't have four-legged animals at home

Answer:

2

Step-by-step explanation:

it starts out with 18 students, 24 pets in total. -16 for the dogs and cats, to lead up to 8, and 10 students left after subtracting 8 for how many students don't have a pet at home. So 2 students shouldn't have four legged pets left after subtracting the rest.  (this is my answer, it's probably wrong, i think you should wait for more,)

Answer:

15/20 or 3/4 or 75%

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

first add up all the balloons: 5 + 3 + 4 + 8 = 20

then subtract the green: 20 - 5 = 15

now create your fraction: 15/20

simplify by 5: 3/4

change to percent : 3/4 = .75 x 100 = 75%

Answer:

[tex]x + y - y \\ - 1 + 3 - 3 \\ = - 1[/tex]

Answer:

-1

Step-by-step explanation:

This is a substitution question

The given equation is x+y+(-y)

And x is said to be-1,y=3

So let's solve

x+y+(-y)

Open the bracket first

x+y-y

So let's substitute

-1+3-3

-1+0

=-1

Therefore the final answer is-1

Substituting the solution (2,10) into both equations of the system shows that it does not satisfy either equation, hence it is not a valid solution.(Choice B.No)

To verify the solution of the system of equations, we can substitute the ordered pair (2,10) into both equations. Let's do this:

Since the ordered pair (2,10) does not satisfy either of the two given equations, we can say that (2,10) is not a solution of the system of the equations.

Learn more about System of Equations here:

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The point (2,10) is not a solution to the system of equations -3x - 4y = 4 and -5x + y = 2, as it does not satisfy either equation when substituted.

To determine if the point (2,10) is a solution of the given system of equations:

-3x - 4y = 4

-5x + y = 2
we need to substitute x=2 and y=10 into each equation to see if the left-hand side equals the right-hand side.

For the first equation:

-3(2) - 4(10) = -6 - 40 = -46
which does not equal 4, therefore the point (2,10) is not a solution to this equation.

For the second equation:

-5(2) + (10) = -10 + 10 = 0
which does not equal 2, so (2,10) is also not a solution to the second equation.

Since (2,10) does not satisfy either equation, we can conclude that:

(Choice B)
No, (2,10) is not a solution to the system of equations.

Question:

a. Twenty-three ninth graders and fifteen eleventh graders prefer math.

b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.

c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.

d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.

e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.

Answer:

Therefore, the correct options are;

b. and d.

Step-by-step explanation:

Here we have a table with blank boxes and totals from which we can fill the boxes;

For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils

Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils

Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils

Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils

From the above, the correct option is

Answer:

b only

Step-by-step explanation:

Answer: answer is C because if you do 2x9 abd 2x3 you 18c-6d and you cant subtract thise cause they have different variables

Step-by-step explanation:

Answer:

[tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]

Step-by-step explanation:

Step 1:  Factor out the GCF

The GCF for 18c and 6d is just the number 6.

[tex]18c - 6d[/tex]

[tex]6(3c - d)[/tex]

Or... you can pull out a 3

[tex]18c-6d[/tex]

[tex]3(6c-2d)[/tex]

Answer:  [tex]6(3c-d)[/tex] or [tex]3(6c - 2d)[/tex]

Answer:

The volume of the toy is [tex]V=5.23\ ft^3[/tex]

Step-by-step explanation:

step 1

Find the volume of the hemisphere

The volume of the hemisphere is given by the formula

[tex]V=\frac{2}{3}\pi r^{3}[/tex]

In this problem, the wide of the toy is equal to the diameter of the hemisphere

so

[tex]D=2\ ft[/tex]

[tex]r=2/2=1\ ft[/tex] ----> the radius is half the diameter

substitute

[tex]V=\frac{2}{3} \pi (1)^{3}=\frac{2}{3} \pi\ ft^3[/tex]

step 2

Find the volume of the cone

The volume of the cone is given by

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

we know that

The radius of the cone is the same that the radius of the hemisphere

so

[tex]r=1\ ft[/tex]

The height of the cone is equal to subtract the radius of the hemisphere from the height of the toy

[tex]h=4-1=3\ ft[/tex]

substitute the given values

[tex]V=\frac{1}{3}\pi (1)^{2}(3)=\pi\ ft^3[/tex]

step 3

Find the volume of the toy

we know that

The volume of the toy, is equal to the volume of the cone plus the volume of the hemisphere.

so

[tex]V=(\frac{2}{3} \pi+\pi)\ ft^3[/tex]

[tex]V=(\frac{5}{3}\pi)\ ft^3[/tex]

assume

[tex]\pi=3.14[/tex]

[tex]V=\frac{5}{3}(3.14)=5.23\ ft^3[/tex]

Answer:

80/1 1/4 (Fraction)

Step-by-step explanation:

[tex]speed = \frac{distancs}{time} \\ \\ \hspace{29pt}= \frac{80}{1 \frac{1}{4} } mph[/tex]

well 60/5=12

so you get $12 per yard

12*15=180

or you could notice that 5 goes into 15 3 times and then multiply 60*3 any way the answer is 180

You would earn $180 if you did 15 yards

Answer:

2, 3, 5, 7, 11, 13,

Answer: 1, 3, 5, 11, 9, 7, 13

Step-by-step explanation:

Odd numbers can't be divided by two.

Even numbers can be.  

Answer:Rectangle NOSR is similar to LOSP.

Step-by-step explanation: The length of the sides are similar. (18 * 2/3 = 12, 12 * 2/3 = 8)

Answer:

Option B

Step-by-step explanation:

Its the same because its basically just like stacking the same shape over and over to make a prism

Answer:

answer is B your welcome:)

Step-by-step explanation:

Hope this will help u....:)

[tex]25*10^9=25*100000000=2500000000[/tex]

Answer:

The roots would be -4 and 2.

Step-by-step explanation:

Roots are always going to be where the graph crosses the x axis.  In this case, the graph crosses the x axis at -4 and 2.

Hence, the roots are -4 and 2.

Answer:

A) (x − 2)2 + (y + 1)2 = 16

please give me brainliest

Step-by-step explanation:

center: (2, −1)

(x − 2)2 + (y + 1)2

radius: 4

4^2 = 16

Answer:

1.7030973451327434

Step-by-step explanation:

Answer:1.7039735

Step-by-step explanation:

Final answer:

The area of a regular hexagon with an apothem of 15 cm is approximately 1166.55 cm².

Explanation:

The area of a regular hexagon can be found by using the formula:

Area = (3 x apothem x side length) / 2

In this case, the apothem is given as 15 cm. We need to find the side length to calculate the area. The side length can be found using the formula:

side length = 2 x apothem / tan(180° / 6)

Using a calculator, we can find that the side length is approximately 25.98 cm. Plugging in the values into the area formula, we get:

Area = (3 x 15 cm x 25.98 cm) / 2 = 1166.55 cm²

Answer:

Y=40

Explanation:

Due to the nature of both X and Y varying directly, you can view the problem as a proportion. If x=6 and y=30, that must mean that when x=8  y must equal 40.

6:30 = 8:40

or

30/6= 5

Y/8= 5

Because they vary directly they are equivalent, and so multiply 8 by 5 and get 40.

Answer:40

Step-by-step explanation:

6 times 5 is 30

so 8 times 5 = 40

Answer

51.312in^2

hope this helps...

Answer:

may I have the next dents?

Step-by-step explanation:

The question refers to a potential joke or riddle involving boy and girl bumper cars. The precise answer isn't clear without additional context, but an example of a joke incorporating cars is provided.

The question asked, 'What did the boy bumper car say to the girl bumper car', appears to be a joke or riddle. It is ambiguous without a specific punchline directly related to educational material. However, if this is in reference to a literary work, there's a chance we could interpret the question more effectively. An example answer might be: 'Excuse me, are you a parking ticket? Because you've got FINE written all over you!'. That is an example of a typical joke that includes automobiles, although it's important to remember that humor can be subjective.

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A diagram and review of the basic trig functions will show that the distance d flown by the plane between observations is

d = 400 cot 1.5° - 400 cot 5° = 10700m = 10.7km

10.7km/2min * 60min/hr = 321 km/hr

Hope this helps

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

180/2 =90

maybe -16.1

and how are you sending the photo

Hope this will help u...:)

Look at the attached picture...!!

Answer:

720

Step-by-step explanation:

hope it helps

Answer:

2.25 : 1

Step-by-step explanation:

Since the ratio is 1125 rpm for the alternator: 500 rpm for the engine, find the unit rate.

1125 : 500     Divide both sides by 500

2.25 : 1         For every turn of the engine, there are 2.25 turns of the alternator.

If this answer is correct, please make me Brainliest!

Answer:

Part 17)

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18) Zosia's age is 15 years

Part 19) All together are 36 years old

Step-by-step explanation:

The question in English is

17. Ula is twice as young as Ola and four years older than Ali. Together these three girls are 24 years old. How old is each of them?

18. Zosia's father is 3 times older than her and Zosia is 30 years younger than him.

How old is Zosia?

19. Julek and Asia are 6 years older than Michael, but each of them separately is younger than him: Julek by 7 years, Asia by 2 years. How old are they all together?

Part 17)

Let

x ----> Ula's age

y ---> Ola's age

z ---> Ali's age

we know that

Ula is twice as young as Ola

[tex]y=2x[/tex] ----> equation A

Ula is four years older than Ali

[tex]x=z+4[/tex]

[tex]z=x-4[/tex]----> equation B

Together these three girls are 24 years old.

so

[tex]x+y+z=24[/tex] -----> equation C

substitute equation A and equation B in equation C

[tex]x+2x+(x-4)=24[/tex]

solve for x

[tex]4x=24+4\\4x=28\\x=7[/tex]

Find the value of y

[tex]y=2(7)=14[/tex]

Find the value of z

[tex]z=7-4=3[/tex]

therefore

Ula's age is 7 years

Ola's age is 14 years

Ali's age is 3 years

Part 18)

Let

x ----> Zosia's father's age

y ----> Zosia's age

we know that

Zosia's father is 3 times older than Zosia.

so

[tex]x=3y[/tex]  ----> equation A

Zosia is 30 years younger than him.

so

[tex]y=x-30[/tex] ----> equation B

substitute equation A in equation B

[tex]y=3y-30[/tex]

solve for y

[tex]3y-y=30\\2y=30\\y=15[/tex]

therefore

Zosia's age is 15 years

Part 19)

Let

x ----> Julek's age

y ----> Asia's age

z ----> Michael's age

we know that

Julek and Asia are 6 years older than Michael

so

[tex]x+y=z+6[/tex] ----> equation A

Julek is 7 years  younger than Michael

[tex]x=z-7[/tex] ----> equation B

Asia is 2 years  younger than Michael

so

[tex]y=z-2[/tex] -----> equation C

substitute equation B and equation C in equation A

[tex](z-7)+(z-2)=z+6[/tex]

solve for z

[tex]2z-z=6+9\\z=15[/tex]

Find the value of x

[tex]x=15-7=8[/tex]

Find the value of y

[tex]y=15-2=13[/tex]

Adds the ages

[tex]x+y+z=8+13+15=36\ years[/tex]

therefore

All together are 36 years old