2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.​

2. The Table Below Shows That The Distance D Varies Directly As The Time T. Find The Constant Of Variation

Answers

Answer 1
Problem Solving:-

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

Solution:-

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

[tex]\sf{\rightarrow{d = kt}}[/tex]

[tex] \sf\rightarrow{20 = 2k }[/tex]

[tex] \sf\rightarrow{K= \frac{20}{2} }[/tex]

[tex]\sf\rightarrow{K={\color{magenta}{10}}}[/tex]

Answer:-Therefore, the constant of variation is 10.

Related Questions

what's a expression of 6 groups of 4​

Answers

Answer:

x=6*4

Step-by-step explanation:

What is the solution to 2x^2+8x=x^2-16?
x=4
x=-2
х=2
х=4

Answers

Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.

If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately describes the growth rate?

A. The population is growing at a rate of 1.4%.
B. The population is growing at a rate of 4.9%.
C. The population is growing at a rate of 0.014%.
D. The population is growing at a rate of 0.14%.

Answers

Answer: B

Step-by-step explanation:

Ayuda!!! no entiendo lo necesito con procedimiento y cuentas porfavor es urgente !??!!!​

Answers

Answer:

1- El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- El 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

Step-by-step explanation:

1- Dado que en dos localidades hay habitantes que hablan una lengua distinta al español, de las cuales en El Cerrito son 3 de cada 4 mientras que en El Paseo son 5 de cada 7, para determinar en cuál de las dos localidades hay un número mayor de hablantes de una lengua distinta al español, y determinar la diferencia entre ambas localidades, se deben realizar los siguientes cálculos:

4 = 100

3 = X

3 x 100 / 4 = 75

7 = 100

5 = X

5 x 100 / 7 = 71.42

Por lo tanto, en El Cerrito el 75% de la población habla una lengua distinta al español, mientras que en El Paseo dicho porcentaje es del 71.42%, con lo cual la diferencia de ambos es de 3.58%.

2- Dado que en una escuela del poblado El Cerrito, 18 de los 30 alumnos del grupo 6ºA aprobaron el examen de matemáticas, mientras que en el grupo 6ºB lo hicieron 32 de los 40 alumnos, para determinar qué grupo obtuvo mejores resultados y cuál es la diferencia entre ambos grupos se deben realizar los siguientes cálculos:

30 = 100

18 = X

18 x 100 / 30 = 60

40 = 100

32 = X

32 x 100 / 40 = 80

Por lo tanto, el 60% de los alumnos de 6ºA y el 80% de los alumnos de 6ºB aprobaron matemáticas, con lo cual la diferencia entre ambos grupos fue de 20% en favor del grupo 6ºB.

what is the answer to this question??

Answers

V = height x cross section area
CSA = 6 x 5.5 = 33
Height of sand = 148.5 / 33 = 4.5 inches

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————- ★ ————-««  

Here’s why:  

Recall that the slope intercept form of a equation for a line is:

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

The slope, which is -5.The y-intercept, which is (0, -6).

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Gopi paid 25% of his salary as tax and spent of his salary on groceries. The remaining amount of Rs.2500 was his savings. Find his salary and the tax amount paid.​

Answers

Answer:

his salary is rs 6000 & his tax amount is rs 1500 :)

Answer:

6000,1500

Step-by-step explanation:

Let Gopi's salary be 'x'

He paid 25% of his salary as tax. = 25% of x = 25x/100 = x/4  

He spent 1/3 of his salary on groceries = x/3

Getting his salary:-

x-x/3-x/4=2500

(12x-4x-3x)/12=2500

5x/12=2500

x=

(2500x12)/5

x=500x12=6000

Tax amount:-

6000x25/100=1500

If I start a trip driving at x mph for a hrs and then go 5 mph slower for the next two hours what is the total distance I traveled? WILL GIVE BRAINLIES T IF ANSWER IS RIGHT!!!!

Answers

Answer:

Step-by-step explanation:

a hours × (x miles)/hour = ax miles

2 hours × (x-5 miles)/hour = 2x-10 miles

total distance = ax + 2x-10 = (a+2)x - 10 miles

I need anyone’s help please. I will give the best answer brainliest.
Your mom suggested ten different choices for you to eat for dinner over the next week. How many different ways can you choose your dinner?



A. 120
B. 240
C. 720
D. 960
No fake answers or links pls.

Answers

120 different ways can you choose your dinner.

Given that, your mom suggested ten different choices for you to eat for dinner over the next week.

What is a combination formula?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The combination formula is [tex]nC_{r} =\frac{n!}{r!(n-r)!}[/tex]

Here, n= number of sample points 10

r= number of sample points in each combination 7

Now, [tex]10C_{7} =\frac{10!}{7!(10-7)!}[/tex]

⇒[tex]10C_{7} =\frac{10!}{7!.3!}[/tex]=120

Hence, 120 different ways can you choose your dinner.

To learn more about the combinations visit:

https://brainly.com/question/13387529.

#SPJ2

Consumer Reports indicated that the average life of a refrigerator before replacement is 14 years with a standard deviation of 2.5 years. Assume the age a refrigerator is replaced is normally distributed.
A.) State the random variable
B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?
C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?
D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?
E.) Suppose a company guarantees refrigerators and will replace a refrigerator that breaks while under guarantee with a new one. However, the company does not want to replace more than 5% of the refrigerators under guarantee. For how long should the guarantee be made (rounded to the nearest tenth of a year)?
F.) If it turns out that 40$ of all new refrigerators need to be replaced withing 10.5 years, is there an issue with the manufacturing process? Have some numbers to back up your reasoning.

Answers

Answer:

a.) Average life of a refrigerator

b.) 0.1151

c.) 0.0548

d.) 0.6472225

Step-by-step explanation:

Given that :

Average life before replacement, mean, m = 14 years

Standard deviation, σ = 2 years

A.)

The random variable is the variable which is being measured.

B.) What is the probability that someone will keep a refrigerator fewer than 11 years before replacement?

Fewer than 11 years, P(x < 11)

We need to obtain the Z probability, at P(Z < 11)

The Zscore = (x - mean) / standard deviation

Zscore = (11 - 14) / 2.5 = - 1.2

P(Z < - 1.2) = 0.1151

C.) What is the probability that someone will keep a refrigerator more than 18 years before replacement?

More than 18 years, P(x > 18)

We need to obtain the Z probability, at P(Z > 18)

The Zscore = (x - mean) / standard deviation

Zscore = (18 - 14) / 2.5 = 1.6

P(Z > 1.6) = 0.0548

D.) What is the probability that someone will replace a refrigerator between 8 and 15 years?

P(x < 8)

The Zscore = (x - mean) / standard deviation

Zscore = (8 - 14) / 2.5 = - 2.4

P(Z < - 2.4) = 0.0081975

P(x < 15)

The Zscore = (x - mean) / standard deviation

Zscore = (15 - 14) / 2.5 = 0.4

P(Z < 0.4) = 0.65542

P(Z < 0.4) - P(Z < - 2.4)

0.65542 - 0.0081975 = 0.6472225

Tom works part-time at a theme park. Last week, he worked the following hours. Type the hours Tom worked in hours and minutes into the boxes below. MON: 7 1 4 hours = hours and minutes TUE: 6 3 4 hours = hours and minutes WED: 5 1 5 hours = hours and minutes THU: 6 1 10 hours = hours and minutes

Answers

Answer:

7 hours and 15 minutes

6 hours hours and 45 minutes

5 hours and 12 minutes

6 hours and 10 minutes

Step-by-step explanation:

MON: 7 1/4 hours

= 7 hours and 1/4 hours

1/4 hours = 1/4 × 60 minutes

= 60/4 minutes

= 15 minutes

7 1/4 hours = 7 hours and 15 minutes

TUE: 6 3/4 hours

= 6 hours and 3/4 hours

3/4 hours = 3/4 × 60 minutes

= 180/4 minutes

= 45 minutes

6 3/4 = 6 hours hours and 45 minutes

WED: 5 1/5 hours

= 5 hours and 1/5 hours

1/5 hours = 1/5 × 60 minutes

= 60/5 minutes

= 12 minutes

5 1/5 hours = 5 hours and 12 minutes

THU: 6 1/10 hours

= 6 hours and 1/10 hours

1/10 hours = 1/10 × 60 minutes

= 60/10 minutes

= 6 minutes

6 1/10 hours = 6 hours and 10 minutes

What is the value of n in the equation below?
Power with the same base

Answers

you didn’t show a picture :((

El primer día de la tormenta de nieve hubo 9,2 centímetros de nieve. Durante el segundo día de la tormenta, cayeron otros 18,2 centímetros. Si la nevada total durante la tormenta de nieve de tres días fue de 39,1 centímetros, ¿cuánta nieve cayó el tercer día?​

Answers

Answer:

11.7

Step-by-step explanation:

39.1 - 9.2 = 29.9

29.9 - 18.2 = 11.7

Solve for x:
4(x - 4) + 4 - 10x = 30

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

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The circumference of a circle is 21.3mm.
Find the length of the radius.
Give your answer rounded to 1 DP
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Answers

Answer:

r =3.4 mm

Step-by-step explanation:

circumference of a circle = 2πr

21.3 = 2*3.14*r

21.3 = 6.28*r

21.3 / 6.28 = r

3.39 = r

3.4 = r

Convert 240. oz = lb

Answers

Answer:

15

Step-by-step explanation:

If you want to convert Oz to lb then divide by 16

240/16

15

A cylindrical container of disinfectant wipes with a radius of 1 inch and a height of 10 inches is sold for $3. A two-pack of disinfectant wipes each with the same dimensions is sold for $5. What is the difference in price per cubic inch?
a. $0.01
b. $0.02
c. $0.00
d. $0.09

Answers

Answer:

b. $0.02[tex]/in^3[/tex]

Step-by-step explanation:

Given

[tex]r =1in[/tex]

[tex]h = 10in[/tex]

[tex]Cost_{1pk} =\$3[/tex]

[tex]Cost_{2pk} =\$5[/tex]

Required

The difference in the price per [tex]in^3[/tex]

First, calculate the volume (V) of the cylinder

[tex]V = \pi r^2h[/tex]

[tex]V = 3.14 *1^2 * 10[/tex]

[tex]V = 31.4[/tex]

The unit cost of 1 pack is:

[tex]Unit_{1pk} = \frac{Cost_{1pk}}{V}[/tex]

[tex]Unit_{1pk} = \frac{\$3}{31.4in^3}[/tex]

The unit cost of 2 packs is:

[tex]Unit_{2pk} = \frac{Cost_{2pk}}{2*V}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{2*31.4}[/tex]

[tex]Unit_{2pk} = \frac{\$5}{62.8in^3}[/tex]

The difference (d) is:

[tex]d = |Unit_{2pk} - Unit_{2pk}|[/tex]

[tex]d = \frac{\$3}{31.4in^3} - \frac{\$5}{62.8in^3}[/tex]

Take LCM

[tex]d = \frac{\$6 - \$5}{62.8in^3}[/tex]

[tex]d = \frac{\$1}{62.8in^3}[/tex]

[tex]d = \$0.0159/in^3[/tex]

Approximate

[tex]d = \$0.02/in^3[/tex]

Answer:

b)

Step-by-step explanation:

had it on my quiz also give other dude brainliest.

Manipulate the radius of the sphere, setting it to different values. in the table below, record each radius you chose and the exact volume of the sphere. Also calculate the decimal value of each volume, and verify that it matches the volume displayed by the tool.

Answers

Answer:

1,9,972

2,6,288

3,12,2304

Step-by-step explanation:

Charlene paid $1540.77 (including sales tax) for a microscope. The sales tax in her state is 7%.
What was the price of the microscope before the sales tax was added?

Answers

Answer:

1,439.97

Step-by-step explanation:

Price x 1.07 = price including sales tax

price x 1.07=1540.77

price=1540.77/1.07

price= 1439.97

The price of the microscope before the sales tax was added when calculated is; $1439.97

How to solve algebra problems?

We are told that Charlene paid $1540.77 (including sales tax) for a microscope. Thus, the price before sales tax can be gotten from the formula;

Price before sales tax × 1.07 = Price including sales tax

Thus, plugging in the relevant values;

Price before sales tax × 1.07 = 1540.77

Price before sales tax = 1540.77/1.07

Price before sales tax = $1439.97

Read more about Algebra Problems at; https://brainly.com/question/4344214

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which will result in a perfect square trimonial

Answers

Answer:

No choices listed.

Step-by-step explanation:

Find solution for 2(3^x)=5

Answers

Answer:

Step-by-step explanation:

i don’t know

Answer: x=log(base 3)(5/2)

Identify the variable expression that is not a
polynomial.


Answers

B is your answer

Explanation: It’s the only whole number and a polynomial can not be a whole number but must be an expression.

to make salsa andy needs 12 tomatoes and 4 jalapenos if Andy only has 9 tomatoes how many jalapenos should he use to make salsa?

A.1 jalapenos
B.3 jalapenos
C.4 jalapenos
D. 5 jalapenos

please I need this​

Answers

Answer:

B. 3

Step-by-step explanation:

Andy needs 1 jalapeno for every 3 tomatoes so if he only has 9, 9÷3=3

NO LINKS OR FILES. Explain how to evaluate 5p + (-6) when p = -4. Please give an explanation.

Answers

Answer:

-26

Step-by-step explanation:

5p + (-6)

Let p=-4

5(-4) + (-6)

Multiply

-20 +-6

Add

-26

Answer:

p=-4 which means that you do 5*-4-6 then you apply order of operations by multiplying first then you sub tract, so your answer is -26

Step-by-step explanation:

write the next steps​

Answers

Answer:

Two steps:

a) 12345×8+5=98765

b)123456×8+6=987654

Please help me I need to solve for x.

Answers

Answer: x=7

12x-4=0.5(22x+6)
12x-4=11x+3
-11x -11x
x=7

Explanation: use the tangent-chord angle theorem.

Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.

Answers

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Express the area of the entire rectangle.
Your answer should be a polynomial in standard
form. X+6 top x+ 2 side
I will mark the brainliest!

Answers

Answer:

x^2 + 8x + 12

Step-by-step explanation:

The area is in 4 parts:

x * x,

x * 2,

6 * x, and

2 * 6

So it is x^2 + 2x + 6x + 12, or

x^2 + 8x + 12

Answer:

[tex]x^{2}[/tex]+8[tex]x[/tex]+12

Step-by-step explanation:

(x·x) + (6·x) + (x·2) + (6·2)

[tex]x^{2}[/tex]+6[tex]x[/tex]+2[tex]x[/tex]+12

[tex]x^{2}[/tex]+8[tex]x[/tex]+12

:) ur welcome

A basketball team recently scored a total of 94 points on a combination of​ 2-point field​ goals, 3-point field​ goals, and​ 1-point foul shots.​ Altogether, the team made 52 baskets and 11 more​ 2-pointers than foul shots. How many shots of each kind were​ made?

Answers

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Using the order of operations, what should be done first to evaluate 62 +10-(-5) (3) -5?
O Subtract 5 from 3.
Divide 10 by -5.
Add 6 and 10.
Evaluate
[tex] {6}^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

Well there are 2 things you can do first.

You can multiply -5 * 3    (which is not a choice)

or you can evaluate 6^2 (which is given -- so this is what you can do first)

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