What is an equation of the line that passes through the points (0,6)and (-5,2) ? Put
your answer in fully reduced form

Answer:

(4,5)

Step-by-step explanation:

Answer:

n=7m

Step-by-step explanation:

n=7m

21=7(3)

35=7(5)

56=7(8)

Answer:

m=1 , n=8

i think this is the answer

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Answer:

[tex]t = 15.7[/tex]

Step-by-step explanation:

Given

[tex]Principal = 25000[/tex] --- P

[tex]Amount = 75000[/tex] --- A

[tex]Rate = 7\%[/tex] --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

[tex]A = Pe^{rt}[/tex]

Convert rate to decimal

[tex]Rate = 7\%[/tex]

[tex]r = 0.07[/tex]

Substitute values for A, P and r

[tex]75000 = 25000 * e^{0.07t}[/tex]

Divide both sides by 25000

[tex]3 = e^{0.07t}[/tex]

Rewrite the exponential function as logarithmic, we have:

[tex]ln3 = 0.07t[/tex]

Reorder

[tex]0.07t = ln3[/tex]

Divide both sides by 0.07

[tex]t = \frac{ln3}{0.07}[/tex]

[tex]t = \frac{1.09861228867}{0.07}[/tex]

[tex]t = 15.69[/tex]

[tex]t = 15.7[/tex]

Hence, the time is approximately 15.7 years

There are 48 minnows in the aquarium and there are 18 clownfish in aquarium

Given that in an aquarium ratio of minnows and clown fish is 8:3 and the ratio of clownfish and goldfish are in ratio 6:11 and there are 33 gold fishes in the aquarium.

⇒[tex]\frac{6}{11} =\frac{x}{33}[/tex] ( Here x is the number of clownfish)

⇒x=6×3

⇒x=18

Therefore, The number of clownfish in the aquarium is 18

Now,[tex]\frac{8}{3} =\frac{y}{18}[/tex](Here, y is the number of minnows in an aquarium)

⇒y=8×6

⇒y=48

Therefore, The number of minnows in the aquarium is 48

Therefore,The number of minnows in the aquarium is 48 and The number of clownfish in the aquarium is 18

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Answer: Y=2x-13 Y=2x-13

Step-by-step explanation:

Answer:

{x + y= 239

{15x + 5.50y = 2758.50

Step-by-step explanation:

x = adults    y = children and the total amount of people is 239.

$15 for adults and $5.50 for children and the total cost equals $2758.50.

Answer:

103.5%

Step-by-step explanation:

To find the percent change you will need to divide 621 by 600.

621/600 = 1.035

Multiply 1.035 by 100 to find the percent

(1.035)(100) = 103.5

Therefore, the value increased by 103.5%.

I hope this helps!!

- Kay :)

Answer:

103.5

Step-by-step explanation:

The value of x from the equation is  2√2

Linear equations are equations with one or two variables.

It is also important to note that the highest power of variable is 1

Given the equation;

yx² = 8y

Let's make 'x' the subject of the equation

Divide both sides by y, we have;

yx²/y = 8y/ y

x² = 8

Take the square root of both sides

(√x²) = √8

The square root takes the square, we have

x = √8

x = √4 × 2

x = 2√2

Thus, the value of x from the equation is  2√2

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The total number of tickets sold for the concert is 179.

Unitary method is a mathematical way of obtaining a single unit then deriving the required units by multiplying it with the single unit.

According to the given question The high school choir hosts a concert for the community.

Tickets are sold for this concert by members of the choir and at the door before concert.

Also given that 125 tickets are sold at the door and each member of the choir sell 3 tickets each and they were 18.

∴ The no. of tickets members of the choir sold is

= (18×3) = 54 tickets.

So, the total number of tickets sold for the concert is (125+54) = 179.

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Using the power of power property, it is found that [tex](p^2)^3 = p^6[/tex].

To find the power of a power, keep the base and multiply the exponents.

In this problem, the term is:

[tex](p^2)^3[/tex]

The exponents are 2 and 3, hence:

[tex](p^2)^3 = p^{2 \times 3} = p^6[/tex]

Hence, with a single exponent, [tex](p^2)^3 = p^6[/tex].

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Answer:

The answer is C.

Step-by-step explanation:

4(.032) + 3(2.458) = 7.502

7(.032) + 9(1.531) = 14.003

4(2.458) - 1.531 = 8.301

The solutions to the system of equation are x = 0.032, y = 2.458, z = 1.531 after using the inverse matrix method option (C) is correct.

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

We have a system of equations:

4x + 3y = 7.5

7x + 9z = 14

4y - z = 8.3

First we have to write above system of equation in the form of:

AX = B

[tex]\rm X = A^{-1}B[/tex]

Where A, X and B are the matrix such that:

[tex]\rm A = \left[\begin{array}{ccc}4&3&0\\7&0&9\\0&4&-1\end{array}\right][/tex]

[tex]\rm X = \left[\begin{array}{c}x\\y\\z\end{array}\right][/tex]

[tex]\rm B = \left[\begin{array}{c}7.5\\14\\8.3\end{array}\right][/tex]

[tex]\rm \left[\begin{array}{ccc}4&3&0\\7&0&9\\0&4&-1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] \rm = \left[\begin{array}{c}7.5\\14\\8.3\end{array}\right][/tex]

Now find the determinant of matrix A

|A| = -123

[tex]\rm A^{-1}= \dfrac{Adj(A)}{Det(A)}[/tex]

After calculating, we will get:

x = 0.032, y = 2.458, z = 1.531

Thus, the solutions to the system of equation are x = 0.032, y = 2.458, z = 1.531 after using the inverse matrix method

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Answer:

y=−1/7

for the picture is y=-57/7

Step-by-step explanation:

Switch:sides

-7y+7=8

subtract 7 from both sides

-7y=1

divide both sides by -7

y=−1/7

multiply both sides by (y+7)

8/y+7(y+7)=-7(y+7)

simplify 8=-7(y+7)

flip

-7(y+7)=8

divide both sides by -7

y+7=-8/7

subtract 7 from both sides

and simplify

y=-57/7

Answer:

210

Step-by-step explanation:

Answer:

f(5) = 22

Step-by-step explanation:

Plug in 5 as x into the function:

f(x) = 5x - 3

f(5) = 5(5) - 3

f(5) = 25 - 3

f(5) = 22

Answer:

I answer got was x= - 100

rearrange 24 and x/10 so it is x/10 = 14-24

then you have x/10 = -10

multiply 10 and -10 to get -100

Answer:

hese angles are supplementary, and x=19 degrees

These two angles are a linear pair, meaning that they are supplementary.

This means that their angles measures must add up to 180 degrees.

65+6x+1=180

6x=114

x=19

Hope this helps!

Step-by-step explanation:

Answer:

It would take 6 years for the value of the account to reach $5,920

Step-by-step explanation:

Principal Amount = $4900

Interest rate r = 3% = 0.03

Compounded monthly = n=12

Time t =?

Future Value = $5920

We can find time using formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and solving:

[tex]A=P(1+\frac{r}{n})^{nt}\\5920=4900(1+\frac{0.03}{12})^{12t} \\5920=4900(1+0.0025)^{12t}\\5920=4900(1.0025)^{12t}\\\frac{5920}{4900}= (1.0025)^{12t}\\1.21=(1.0025)^{12t}[/tex]

Applying exponent rule; [tex]a=b^c\\c\:ln(b)=ln(a)[/tex]

[tex]12t\:ln(1.0025)=ln(1.21)\\12t\:(0.00249)=0.19062\\t=\frac{0.19062}{12*0.00249}\\t=6.3\approx6[/tex]

So, It would take 6 years for the value of the account to reach $5,920

Answer:

50

Step-by-step explanation:

150 divided by 3 =50

because 50 ×3 =150

Answer:

17 remainder 25

Step-by-step explanation:

Step-by-step explanation:−

x

2

−

4

x

−

1

=

0

Answer:

If f(x) = x2 – 5 for all values x and f(a) = 4, what is one possible value of a? Possible Answers: ... If f(x) = x2 + 5x and g(x) = 2, what is f(g(4))?. Possible ... (1/3) * (27 + 15 – 15). (1/3) * (27)

Answer:

1        I         3

8       I         24

6       I         18

3       I         9

Step-by-step explanation:

Step-by-step explanation:

the first one is 1 apple , 3 strawberries

the second is 8 apples, 24 strawberries

the third one is  5 apples, 15 strawberries

and the last one is 3 apples, and 9 strawberries

I'm sorry if I'm wrong I'm not good at math :( but i hope it helps :D

Answer:

98 784[tex]\pi[/tex] cm³

Step-by-step explanation:

Formula for volume of sphere: [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × r³

Volume of sphere = [tex]\frac{4}{3}[/tex] × [tex]\pi[/tex] × 42³

                              = [tex]\frac{4}{3}[/tex] × 74 088 × [tex]\pi[/tex]

                              = 98 784[tex]\pi[/tex] cm³

Step-by-step explanation:

4/3 × pi × 42³= 98784pi

[tex]\frac{4}{3} \pi \: r {}^{3}

[/tex]

Answer:hmmmmm

Step-by-step explanation: