what is the slope of the ordered pair (19, -2) (-11, 10)

To model the growth of a savings account with an exponential function, we will use the formula to calculate the amount of money, A(t), accumulated after a certain number of years, t, given an initial principal amount, P, and an annual interest rate, r.

The standard formula for exponential growth in the context of compound interest is as follows:

\[ A(t) = P (1 + r)^t \]

where:
- \( A(t) \) represents the amount of money in the savings account after \( t \) years.
- \( P \) is the principal amount initially deposited into the account.
- \( r \) is the annual interest rate (expressed as a decimal).
- \( t \) represents the time in years.

For your savings account, you start with $400 (the principal amount, \( P \)), and it gains 3% interest every year (the annual interest rate, \( r \)).

Let's assign the given values to their respective variables in the formula:

- \( P = \$400 \)
- \( r = 3\% = 0.03 \) (since 3% as a decimal is 0.03)
 
Inserting these values into the formula yields the specific exponential function for this savings account:

\[ A(t) = \$400 (1 + 0.03)^t \]

This equation represents the amount of money that will be in the savings account after any number of years, \( t \), based on the continuous application of a 3% annual interest rate.

Answer:

√58 cm.

Step-by-step explanation:

The hypotenuse is the line AB.

Using the Pythagoras theorem:

AB^2 = 3^2 + 7^2

AB^2 = 9 + 49 = 58

AB = √58 cm.

Answer: v= pi.r².h/3

29= 22/7.2².h/3

29×3×7/22×4= h

609/88=h

6.92=h

Step-by-step explanation:

The exact volume of the cylinder with a 10 ft diameter and 8 ft height is found using the formula V = πr²h. With a diameter of 10 ft, the radius is 5 ft. The calculated volume is 628.318 cubic feet.

To find the exact volume of a cylinder with a diameter of 10 ft and a height of 8 ft, we can use the following formula:

V = πr²h

Where V is the volume, r is the radius of the cylinder (half of the diameter), h is the height, and π (pi) is approximately 3.14159. Since the diameter is given as 10 ft, the radius will be 5 ft (half of the diameter).

Substituting our values into the formula gives us:

V = π × (5 ft)² × 8 ft

V = 3.14159 × 25 ft² × 8 ft

V = 3.14159 × 200 ft³

V = 628.318 ft³

Therefore, the exact volume of the cylinder is 628.318 cubic feet.

Answer:

39

Step-by-step explanation:

Answer:

-4 4 -4 4 then the next one is it, has no effect on

Step-by-step explanation:

edge2023

Answer:

-4, 4

-4, 4

has no effect on

Step-by-step explanation:

Drag the slider to explore changing the value of a in the graph of y = asin(x).

When a = 4, the minimum is -4 and the maximum is 4.

When a = -4, the minimum is -4 and the maximum is 4.

Based on these results, changing the sign of a has no effect on the maximum and minimum values of the graph of y = asin(x).

Law of sines.

The sine is a trigonometry function that is equal to the ratio of the opposite side of the given triangle and is considered to be from e right-angled triangle. The question states the start fraction for the sine in upper case A and the end fraction for lower case B. Hence the answer is given.

Answer is over c end fraction in triangle BCD, where d is equal to 3, b is equal to 5 and angled is at 25 degrees.

Find more information about the law of sins.

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By applying the Law of Sines and solving for sin(B), we find that the possible approximate measures of angle B are 45° and 135°. Therefore, the correct answer is option D.

To determine the possible measures of angle B in triangle BCD using the Law of Sines, start with the given information:

Using the Law of Sines:

Substitute the known values:

Calculate sin(25°):

Set up the equation:

Cross-multiply to solve for sin(B):

We now find B using the sine inverse function:

Thus, the possible approximate measures of angle B are 45° and 135°.

The correct answer is option D: 45° and 135°.

Complete Question:

Law of sines: In △BCD, d = 3, b = 5, and m∠D = 25°. What are the possible approximate measures of angle B?  

A.only 90°

B.only 155°

C.20° and 110°

D.45° and 135°

Answer:

$6

Step-by-step explanation:

(3)8=24

(4)3=12

24-12=12/2=6

Answer:

Aluminum

properties- light weight, reflectivity

ductility Corrision Ressistance

uses- kitchen utensils, cans, foils, window frames

GIVE ME BRAINLIEST

An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency).

In Science, some of the mechanical and physical properties of materials used in the construction of buildings include the following:

An aluminum is used for a window frame because it's light, malleable and offers high levels of wind (energy efficiency). Also, copper is used for wiring because it is a good conductor of electricity (current).

In conclusion, an iron is used for nails because of its strength (hardness) and ability to resist corrosion.

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Answer: 20 is the answer

The first distribution with numbers ranging from 1 to 12 has a mean of 6.5, while the second distribution with numbers from 101 to 112 has a mean of 105.5. It is therefore True that the first distribution has a smaller mean than the second distribution.

The question asks whether the first distribution (1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12) has a smaller mean than the second distribution (101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112). To determine this, we will calculate the mean of both distributions.

The mean of a distribution is calculated by adding all the numbers in the set and then dividing by the count of numbers.

For the first distribution:
Mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12) / 12
Mean = 78 / 12
Mean = 6.5

For the second distribution:
Mean = (101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 109 + 110 + 111 + 112) / 12
Mean = 1266 / 12
Mean = 105.5

Comparing the means of both distributions, the first distribution has a mean of 6.5 and the second distribution has a mean of 105.5. Therefore, it is True that the first distribution has a smaller mean than the second distribution.

Furthermore, this corresponds to elementary properties of means where adding the same value to all elements of a distribution shifts the mean but does not affect the comparison of means of two distributions if the same value is added to each distribution.

Answer:

192

Step-by-step explanation:

The balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4% is calculated using the simple interest formula. The result is a balance of $1792 after adding the interest earned to the principal amount.

The question involves finding the balance in a bank account after 3 years with an initial deposit of $1600 and an annual interest rate of 4%. This is a mathematics problem that involves the concept of simple interest.

To calculate the balance after 3 years, we can use the formula for simple interest:

Balance = Principal + (Principal × Rate × Time)

Where:

Using this information, the calculation is as follows:

Balance = $1600 + ($1600 × 0.04 × 3)

Balance = $1600 + $192

Balance = $1792

Therefore, after 3 years, the balance in the bank account would be $1792.

Answer:

6" × 10"

Step-by-step explanation:

Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.

(2 × 3") × (2 × 5")

Hope this helps :)  Please mark brainliest if you see fit :)

Answer:

Option b

Step-by-step explanation:

To convert decimeters to millimeters you have to multiply it by 100 also know as 10 by the power of 2.

Answer: it option b on the exam hope this helps

Step-by-step explanation:

Answer:

c = 2

d = 28

Step-by-step explanation:

Please see the attached file for explanation

Answer:

2/6 = 1/3

Step-by-step explanation:

you have a six sided dice. 2 numbers over the entire dice numbers so that would be, 2/6 which simplifies to 1/3

Have a great day!

The probability of rolling either a 3 or a 5 on a single roll of a fair six-sided die is 1/3.

To calculate the probability of rolling either a 3 or a 5 with a single roll of a six-sided die, we need to consider that there are 6 possible outcomes (the numbers 1 through 6). Since each face has an equal chance of landing face up, each single number has a probability of 1/6. When calculating the probability of rolling a 3 or a 5, we add the probabilities of these two separate events together because they are mutually exclusive outcomes.

The probability of rolling a 3 is 1/6, and the probability of rolling a 5 is also 1/6. Thus, the probability of rolling either a 3 or a 5 is given by:

(Probability of rolling a 3) + (Probability of rolling a 5) = 1/6 + 1/6 = 2/6

After simplification, the probability in its simplest form is:

1/3

To solve for x and find the measure of each angle, set up the equation (3x-45) + (2x + 15) = 90, combine like terms, and solve for x. Then, substitute the value of x back into the expressions for angle M and P to find their measure.

To solve for the value of x and find the measure of each angle, we'll use the fact that complementary angles add up to 90 degrees. So, we can set up the equation: (3x-45) + (2x + 15) = 90.

Now, let's solve for x:

3x - 45 + 2x + 15 = 90

Combine like terms: 5x -30 = 90

Add 30 to both sides: 5x = 120

Divide both sides by 5: x = 24.

Substitute the value of x back into the expressions for angle M and P to find their measure:

Angle M = (3(24) - 45) = 57 degrees

Angle P = (2(24) + 15) = 63 degrees

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Final answer:

Angles M and P are complementary, summing to 90 degrees. By setting up the equation (3x - 45) + (2x + 15) = 90 and solving for x, we find that x = 24, angle M measures 27 degrees, and angle P measures 63 degrees.

Explanation:

To solve for the value of x when angles M and P are complementary, we need to set up an equation based on the fact that the sum of complementary angles is 90 degrees. Therefore, we can write the equation as the sum of both angles: (3x - 45) + (2x + 15) = 90. After combining like terms and solving for x, we can find the measure of each angle by substituting the value of x back into the original expressions for angle M and angle P.

Write the equation for complementary angles: (3x - 45) + (2x + 15) = 90

Simplify and combine like terms: 5x - 30 = 90

Add 30 to both sides: 5x = 120

Divide by 5: x = 24

Find the measure of angle M: M = 3x - 45 = 3(24) - 45 = 27 degrees

Find the measure of angle P: P = 2x + 15 = 2(24) + 15 = 63 degrees

Thus, the value of x is 24 degrees, angle M measures 27 degrees, and angle P measures 63 degrees.

Answer:A,D,F,G

Step-by-step explanation:

All of these say either decrease, depreciate, or decay which all mean exponential decay

Answer:

yes,it is equilateral and isosceles because all three angles measure 60°(equilateral).A triangle is isosceles if 2 angles measure the same

Answer:

the answer is d

Step-by-step explanation:

the y is always the second number in the coordinate pair and it is on the negative y-axis plain

Answer:

(0,-4)

Step-by-step explanation:

The coordinate of when the line hits the y axis is (0,-4).

Answer:

240,000

Step-by-step explanati

Answer:

240000

Step-by-step explanation:

Answer:

Proof

Step-by-step explanation:

PROOF can be said to be logical mathematical argument in which every statement of fact is supported by a reason

due to the fact mathematical proof is an inferential argument for a mathematical statement because it help to shows that the assumptions stated logically guarantee and enables the conclusion.

Therefore Proofs can be said to be an examples of exhaustive deductive reasoning because they tend to often establish logical certainty which can be differentiated from empirical arguments which inturn help to establish reasonable and effectively expectation as well as employ logic expressed in mathematical symbols which is why proofs are often written in terms of rigorous informal logic

Answer:

Proof

Step-by-step explanation:

Answer:

The answer would be 512 cubic yards

Step-by-step explanation:

When you have the area of one of the sides, you can multiply it by 8 because it is a cube and that would give you 512. hope this helps :)

Answer:

i don't know and i need coins or point

Answer:

31.2

Step-by-step explanation:

Ratio shows us the number of times a number contains another number. The weight of the fruit box is 31.2 lbs.

A ratio shows us the number of times a number contains another number.

As it is given the ratio of the fruits oranges, apples, and pears is 2:5:6. And the weight of the oranges in the box is 4.8 lbs.

Let's assume that the weight of the oranges, apples, and pears is 2x, 5x, and 6x respectively.

Now, as the weight of the oranges is 4.8 lbs, therefore,

The weight of the oranges, 2x = 4.8 lbs

                                                 x = 2.4 lbs

Now, as we know the value of x, therefore, the weight of the fruit box is,

[tex]\begin{aligned}\text{Total weight of the fruit box} &= 2x + 5x+ 6x \\&=13x \end{aligned}[/tex]

Now, substitute the value of x, therefore, we can write it as,

                                             [tex]=13x\\\\= 13(2.4)\\\\= 31.2\rm\ lbs[/tex]

Hence, the weight of the fruit box is 31.2 lbs.

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Answer:

-91w + 60

Step-by-step explanation:

to simplify this -10(10w-6-w)-w

we have,

-10(10w-6-w)-w

-100w + 60 + 10w - w

-91w + 60

Answer:

The answer is 7/36.

Step-by-step explanation:

First, you find out how many possible outcomes there are from rolling a pair of dice. On one cube, you can roll a 1,2,3,4,5, or 6; so there are 6 outcomes. Since there are two cubes, you multiply 6 by itself to get a total of 36 possible outcomes. Next, you find the probability of the sum of the numbers rolled being an even number; the possibilities are 2,4,6,8,10, or 12, which is 6/36. The probability of rolling a multiple of 5; the one possibility is just 5, since we already accounted for rolling a 10 as an even number. So that is 1/36. The word or says that we add the two probabilities, so the final answer is 6/36+1/36=7/36.

Answer: For plato

1. 11/18 .

2. 5/9.

Step-by-step explanation:

The probability that the sum of the numbers rolled is either even or a multiple of 5 is   11/18 . The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is  5/9.

Final answer:

To find the percent of sales donated to hospitals, divide the amount donated ($286) by the total sales ($7,150) and multiply by 100, resulting in 4%.

Explanation:

The question asks to calculate what percent of the total sales was donated to the hospitals by the shoe store. To find this, we use the basic formula for calculating percent: part over total, times one hundred, equals percent. In this case, the part is the amount donated ($286) and the total is the total sales ($7,150).

So, the calculation would be: (286 / 7,150) x 100 = 4%. Thus, the shoe store donated 4% of its total sales to hospitals.

Answer:

2x + 3

Step-by-step explanation:

Given

2x² + 5x + 3

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × 3 = 6 and sum = 2 + 3 = 5

The factors are 2 and 3

Use these factors to split the x- term

2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )

= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term

= (x + 1)(2x + 3) ← in factored form

Thus the other factor is (2x + 3)

Answer:

2x+3

Step-by-step explanation:

It's B on edg

Answer:

3.5 in.

Step-by-step explanation:

17.5 ÷ 5 = 3.5

The requried length of each side of the pentagon is 3.5 inches.

The perimeter of the pentagon is the measure of its circumference i.e. the sum of its 5 sides.

Here,
A regular pentagon has five equal sides. To find the length of each side of the pentagon, we need to divide the perimeter by 5.

Length of each side = Perimeter/5

Length of each side = 17.5 inches / 5

Length of each side = 3.5 inches

Therefore, the length of each side of the pentagon is 3.5 inches.

So the answer is 3.5 in.

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Answer:

19

Step-by-step explanation:

f(x)=2(3^x)+1,

Let x=2

f(2)=2(3^2)+1

Exponents first

     =2 (9) +1

Then multiply

     =18+1

     =19

Answer:

19

Step-by-step explanation:

f(2) = 2(3²) + 1

= 2(9) + 1

= 18 + 1

= 19