A student is working on a project for which he records the revolutions per minute (rpm) for a small electric motor as he increases the voltage in a circuit. Here is the table showing the results:

Voltage
(volt) Motor Speed
(rpm)
0 0
1 25
2 50
3 75
4 100
Create a graph showing the relationship in the table. Think about the title, axis labels, and whether you need to connect the points with a line.

Answer:

The answer for this question is 9.

Step-by-step explanation:

8.5 x 4 x 9 is 306

Answer:

P = 9 mm

Step-by-step explanation:

306 = P X 8.5 X 4

306 = 34P

[tex]306/34 = P[/tex]

P = 9 mm

Hope this helps

Answer:

B

Step-by-step explanation:

(a^3/2) / a

= a^(1/2)

= √a

= B

Answer:

D. A ( a-1/2)

Step-by-step explanation:

Hello!!

You must cancel out the common factor or in this case, ( a3/2) on the top.

You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)

Hope this helped!. :)

Based on the mean from the sample, I would expect that the number of guests that will stay at the small hotel than at the bed and breakfast would be 4.50.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

The number of guests at the small hotel in excess of those at the bed and breakfast = 7.75 - 3.25 = 4.50

To learn more about mean, please check: https://brainly.com/question/25842202

Answer:

315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

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At the small hotel, a mean of 7.75 guest stay per night. 10 weeks have 70 days, then the total amount is:

S = 7.75 x 70 = 542.5

At the bed and breakfast, the mean was of 3.25 guests per night, hence:

B = 3.25 x 70 = 227.5.

The difference is given by:

S - B = 542.5 - 227.5 = 315.

Therefore, 315 more guests will stay at the small hotel than at the bed and breakfast in a 10-week period.

Step-by-step explanation:

A is adjacent angles

B is supplementary

C is 180 - 131 = 49°

Answer:

y

Step-by-step explanation:

bc I told u to ..............

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

245-x

Step-by-step explanation:

Since x is the anount fewer than the mount Andrea picked, to get Julio's amount you would subtract x from 245.

Answer:

x=1, y=10

Step-by-step explanation:

I'm gonna use the method of substitution.

2x+3(3x+7)=32

2x+9x+21=32

11x=11

x=1

y=10

Answer:

however big her wall is. if you give me how big her wall is i can help u more on this

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

The point where (-2,5) is located is also a intersection between the line B and C.

Answer:

Rectangle

Solve for length

l=4cm

w Width

7

cm

P Perimeter

22

cm

Using the formula

P=2(l+w)

Solving forl

l=P

2﹣w=22

2﹣7=4cm

Answer:

3.5

Step-by-step explanation:

Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = ± sqrt(12)

x ≈ 3.5

Note: '^' means "to the power of", so '^2' means "squared"

Answer:

or, x^2-14x-51=0

or, x^2-(17-3)x-51=0

or, x^2-17x+3x-51=0

or, x(x-17)+3(x-17)=0

or, (x-17)(x+3)=0

Either, x-17=0. Or, x+3=0

x=17. x= -3

Hence,x=17, -3

[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]

y=4

x=-5

Step-by-step explanation:

-4(2y-13) + 5y = 40

-8y + 52 + 5y = 40

-3y + 52 = 40

-3y = -12

y=4

x=-5

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation is 4πr²

The radius is half the diameter so divide the diameter by 2

40÷2=20

4π(20)²=5026.55mm

Rounds to 5027

Answer:

630

Step-by-step explanation:

1st = 3

2nd = 6

3rd = 9 ...

20th = 60

Súmalos todos juntos para encontrar la suma.

3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 + 33 + 36 + 39 + 42 + 45 + 48 + 51 + 54 + 57 + 60 = 630

La suma de los primeros 20 múltiplos de 3 es 630

¡Espero que esto ayude!

Answer:

4 markers left

Answer:

4 markers

Step-by-step explanation:

108/8=13.5

13x8=104

108-104=4

Answer:

a. f = 72/p

b. 14.4

Step-by-step explanation:

a. bringing in constant k,

f = k/p

cross multiplying

k = fp

k = 8×9

k = 72

the formula for f;

f = 72/p

b. Using the formula for f

f = 72/p

f = 72/5

f = 14.4

Answer:

(m-3)(m-2)

Step-by-step explanation:

Here,

m^2- 5m + 6

=m^2-(3+2)m +6

=m^2 - 3m - 2m +6

=m(m - 3) - 2 (m - 3)

=(m-3)(m-2)

Step-by-step explanation:

oh, come on ! you really cannot figure that one out ?

as there are 3 ft in 1 yd, 6 yd are then 6×3 = 18 ft.

so, 18 ft cost $2.88

1 ft costs then 2.88/18 = $0.16

Answer:

That would be (2, infinite)

Step-by-step explanation:

hope this helps

now, this is assuming there are 365 days in 1 year, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$3000\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years \end{cases}[/tex]

[tex]3000=2500\left(1+\frac{0.035}{365}\right)^{365\cdot t}\implies \cfrac{3000}{2500}=\left(1+\frac{0.035}{365}\right)^{365t} \\\\\\ \cfrac{6}{5}=\left(1+\frac{0.035}{365}\right)^{365t}\implies \cfrac{6}{5}=\left(\cfrac{73007}{73000}\right)^{365t}[/tex]

[tex]\log\left( \cfrac{6}{5} \right)=\log\left[ \left(\cfrac{73007}{73000}\right)^{365t} \right]\implies \log\left( \cfrac{6}{5} \right)=t\log\left[ \left(\cfrac{73007}{73000}\right)^{365} \right] \\\\\\ \cfrac{~~ \log\left( \frac{6}{5} \right)~~}{\log\left[ \left(\frac{73007}{73000}\right)^{365} \right]}=t\implies 5.21\approx t\qquad \textit{about 5 years, 2 months and a half}[/tex]

Answer:

Hope the picture will help you

Answer:

The Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe.

Step-by-step explanation:

11/3=

3[tex]\frac{2}{3}[/tex]

2/3

We can see that the difference is GREAT. So, now, let's subtract.

[tex]3\frac{2}{3} -\frac{2}{3} =3[/tex]

So hence, the Muffin Recipe calls for 3 more cups of Milk than the Bread Recipe!

----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!"

B.B.King

Thanks!

Have a great night!

~ms115~

:D

The muffin recipe requires 2/3 cup more milk than the bread recipe.

Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.

To find out how much more milk is needed for the muffin recipe than the bread recipe,

we need to calculate the difference between the amount of milk required for each recipe.

The muffin recipe calls for 1 1/3 cups of milk, which is equivalent to 4/3 cups of milk.

The bread recipe calls for 2/3 cup of milk.

To find the difference between the two amounts of milk, we can subtract the milk required for the bread recipe from the milk required for the muffin recipe:

4/3 - 2/3 = 2/3

Therefore, 2/3 is the required fraction.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ2

Answer:

338

21.73

334.65

Step-by-step explanation:

mulitply 408×.83

multiply 53×.41

mulitply 345×.97

Answer:B=24 in²

B'=12 in²

B^=6 in²

I think the answer is B

Step-by-step explanation: I put the explaination with the answer

Answer:

C

Step-by-step explanation:

24 × 1/2 = 12

can we be friends?

the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

A circle is a 2-dimensional shape with no edges.

The standard equation of a circle with centre (a, b) and radius "r" is given as:

(x-a)^2 + (y-b)^2 = r^2

Given the diameter of circle with coordinate  (2,2) and (8,14), the diameter is expressed as:

D = √12² + 6²

D = √144+36
D = √180

For the radius

r = √180/2

r² = 180/4

r² = 45

Determine the centre (a, b)
(a, b) = (2+8/2 2+14/2)
(a, b) = (5, 8)

Substitute

(x-5)^2 + (y - 8)^2 = 45

Hence the equation of the circle with diameter at (2,2) and (8,14) is (x-5)^2 + (y - 8)^2 = 45

Learn more on equation of a circle here: https://brainly.com/question/1506955

Answer:

x < - 2

Step-by-step explanation:

7 < 3 - 2x ( add 2x to both sides )

2x + 7 < 3 ( subtract 7 from both sides )

2x < - 4 ( divide both sides by 2 )

x < - 2