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Answer:  [tex]y = 850(0.943)^t[/tex]

Reason:

The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.

a = 850 is the starting amount

b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor

If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.

Answer:

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Answer:

5 given as -1 and 8 positive 8 cross by axis

Answer:

A. a = -3 and b = 7.

B. x = -4 or x = 7.

Step-by-step explanation:

A)

f(0) = 0^2 + a(0) + b =  7

So b = 7.

f(-2) = (-2)^2- 2a + 7 = 17

4 - 2a = 17 - 7

4 - 2a = 10

-2a = 10 - 4 = 6

-2a = 6/-2

a = -3.

B)

Substituting a = -3 and b = 7 we get:-

x^2 - 3x + 7 = 35

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0 or x + 4 = 0

x = -4 or x = 7.

Answer:

0.16

Step-by-step explanation:

AND = Probability(of 1)*Probability(of 2)

OR = Probability(of 1)+Probability(of 2)

probability of spinning red = 0.2 or 20%

probability of NOT spinning red = 0.8 or 80%

The question says "AND" so 0.2 * 0.8 = 0.16 or 16%

Hope this helps!!!

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If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The owner of a sports complex wants to carpet a hallway connecting two buildings.

The diagram is given below.

The carpet costs $2.50 per square foot.

The area of the carpet will be given by the area of the trapezium.

Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7

Area = 0.5 x 52 x 7 + 0.5 x 34 x 7

Area = 182 + 119

Area = 301 square feet

Then the cost of the carpet will be

Cost of carpet = $ 2.5 x 301

Cost of carpet = $752.5

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Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.

Since order is not important we use combination to solve the problem

This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!

Now, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.

There are ⁵C₁ ways of choosing the drinks.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

There are ⁴C₁ ways of choosing the main dishes.

So, ⁴C₁ = 4!/1!(4 - 1)!

= 4!/1!/3!

= 4

There are ⁵C₁ ways of choosing the sides.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

So, total number of ways of choosing the combo meals is

⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5

= 100 ways.

So, there 100 different combo meals are possible.

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Answer: The answer is 100

Step-by-step explanation:

Explanation:

The diameter is 64 yards

Divide it in half to get 64/2 = 32 yards as the radius.

Plug it into the formula below to get the area of the circle.

A = pi*r^2

A = 3.14*32^2

A = 3215.36

The area of the circle is approximately 3215.36 square yards.

The area is approximate since pi = 3.14 is approximate.

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Answer:

Your answer given is that a great common factor of the monomials shown below 6x^4 y^3 z^4 22xy^3

A said Given 66x^4 y^3 z^4

B said Given 2x^4 y^3 z^4

C said Given 66x^5 y^6 z^7

D said Given 2xy^3 z^3

my answer is that C. 66x^5 y^6 z^7

because it greatest common factor

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

Answer:

30 ft

Step-by-step explanation:

since they're both feet no conversion is needed

multiply the model to scale (5) to find actual

6 * 5 = 30

your answer is 30 ft.

hope this helps:)

Answer:

(2, 5 )

Step-by-step explanation:

y = 2x + 1 → (1)

3y = 4x + 7  → (2)

substitute y = 2x + 1 into (2)

3(2x + 1) = 4x + 7 ← distribute parenthesis on left side

6x + 3 = 4x + 7 ( subtract 4x from both sides )

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

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1) for corresponding value of y

y = 2(2) + 1 = 4 + 1 = 5

solution is (2, 5 )

Answer:

a

Step-by-step explanation:

Answer:

Driving Distance : 569 KM and 398 meters / 353.8 miles.

Straight Line Distance : 467 KM and 700 meters / 290.6 miles.

Travel time : 11 hours and 19 minutes.

Direction and bearing : South side, 159 degree.

Step-by-step explanation:

Answer:

0.7 miles

1.4 miles

Step-by-step explanation:

Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles

Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles

Answer:

√645^3=16,380.9. Mathematically correct

Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.

career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.

Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.

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Answer:

visit the US. Bureau of Labor Statistics website to find information on both careers and the career section

Step-by-step explanation: well i know it right because i just answered it correct

Answer:

B. 1/4

Step-by-step explanation:

We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.

Answer:

Alleles because genes come in all different varieties.

I Hope This Helps!!!

The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.

The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.

Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.

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b. 55.722

Step-by-step explanation:

1850/3320

I assume that you know what the question is asking to solve for.

The net profit margin for Korey's Comics is 42.5%.

Option A is the correct answer.

Profit is the difference between the selling price and the cost price.

We have,

Net profit margin is calculated by dividing net income by net sales and multiplying the result by 100 to get a percentage.

Net Profit Margin = (Net Income / Net Sales) x 100%

Substituting the given values.

Net Profit Margin = (1,850 / 4,350) x 100%

Net Profit Margin = 0.425 x 100%

Net Profit Margin = 42.5%

Therefore,

The net profit margin for Korey's Comics is 42.5%.

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14/7 is greater than 1/2

Sure hope this helps you

Take two points

Slope

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

Put (0,0) on first one

On second one

So as lines are dashed symbols remain >

The inequalities are

Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

Answer:

Here is the ans...Hope it helps :)

The probability that the guest chooses one of each type of soda will be 8.03%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.

A party guest randomly chooses four cans of soda.

Then the probability that the guest chooses one of each type of soda will be

Let the total number of the soda can will be 100. Then we have

Ambrase = 20

Butonic = 30

Colana = 15

Dynamite = 35

[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]

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Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

Answer:

C. 31

Step-by-step explanation: