Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7

respondo por qué el juego me lo diste 2+24

Answer:

Step-by-step explanation:

Equation in slope-intercept form:

Substitute values:

Answer:

the first one

Step-by-step explanation:

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

Answer:

b 3.13

Step-by-step explanation:

did this beofer

Answer:

B = 3.13

Step-by-step explanation:

The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.

Therefore your answer is B - 3.13

Answer:

it can't be simplified

Step-by-step explanation:

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

Answer:

C. 4/0

Step-by-step explanation:

You can't divide 4 by 0.

A. you would have gotten -0.5

B. you would have gotten 0

D. you would have gotten 0

Hope this help!! :)

Answer:

C. [tex]\frac{4}{0}[/tex]

Step-by-step explanation:

you cannot divide by zero, therefore option C is the correct choice because [tex]\frac{4}{0}[/tex] means 4 ÷ 0.

if 0 was the numerator, like in [tex]\frac{0}{4}[/tex] or 0 ÷ 4, the answer would be 0 because 0 divided by 4 is 0. this can be kind of confusing at times, but just remember that as long as 0 is the denominator in a fraction (meaning the 0 is under the fraction bar), the answer will always come out as undefined because you can't divide by 0.

i hope this helps! have a great day <3

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Given:

The two numbers are 19.8 and 5.

To find:

The estimated product of given numbers by rounding each factor to nearest whole number.

Solution:

Two number are 19.8 and 5.

On rounding the given numbers to the nearest whole number, we get 20 and 5.

Now, the estimated product is

[tex]20\times 5=100[/tex]

Therefore, the estimated product of given numbers is 100.

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

Answer:

C. 1/3x - 9

Step-by-step explanation:

Ok so....

-3 + -6 is just -9 so instead of writing all that we can just write -9.

So what you should have now should look something like this

2/3x - 1/3x - 9             ( I just put it in a different order )

So now we can see things in common. Which is the 2/3x and the 1/3x. When you subtract both of them it will give you a total of 1/3x. *NOTE : WE DO NOT SUBTRACT THE 9 WITH IT BECAUSE IT IS NOT COMMON WITH THE OTHER NUMBERS* Now your problem should look like this

1/3x - 9

Which is the answer!!

TAADAA!!

Hope this helps. Have a good day!

Answer:

it makes sense

Step-by-step explanation:

Answer:

A, x=5

Step-by-step explanation:

By simplifying the inequality we get:

The only answer that is greater than 4 is A.

Answer:

yes

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

It is six because 6x6=36

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

Answer:

It is n/12-10

Step-by-step explanation:

Which is A

The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.

The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.

Next, we divide the expression "n - 10" by twelve:

Start Fraction n - 10 Over 12 End Fraction

Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.

Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.

To know more about algebraic:

https://brainly.com/question/29131718

#SPJ6

Answer:

her brother is 15 years old

Step-by-step explanation:

let 'b' = her brother's age

Harriet is 3 years old but Harriet is also '1/3b - 2'

3 = 1/3b - 2

5 = 1/3b

b = 5(3) or 15

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

Answer:

4 1/2 flowers

Step-by-step explanation:

2 + 3 = 5 and 4 x 5 = 20 and plus half a flower.

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

Answer:

The working is done in the image attached.

Let us assume that the number is X

According to the statement:

2✓x = 12

Divide both sides by 2;

✓2 = 6

Square both sides,

x² = 6²

X = 36

Hence the required number is 36.

72 nuts mix the trail 4 ➕ 8

Answer:

Step-by-step explanation:

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Answer:

a c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:I hope this helps

multiplicative would be ;

-12 ------> 1/-12