I need help with Solving Systems by substitution. I’m having trouble with this word problem. Thank you!

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

u as the subject of the given formula is, \(u = \sqrt{v^{2}-2as }\)

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v²  - 2as = u²

take the square - root of both sides of the equation;

\(\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }\)

Thus, u as the subject of the given formula is, \(u = \sqrt{v^{2}-2as }\)

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer:

it doesn't look so good

Step-by-step explanation:

no se ve tan bien

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

\(k = \frac{y}{x}\)

When y = 24; x = 8

So, we have:

\(k = \frac{24}{8}\)

\(k = 3\)

In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.

The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.

In general, the choice of significance level depends on the specific application and context of the statistical analysis.

The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.

The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.

A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.

A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.

For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.

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The quadratic equations are classified as follows:

If the discriminant of the quadratic equation is positive, then the equation has two real solutions.

If the discriminant is zero, then the equation has one real solution.

If the discriminant is negative, then the equation has no real solutions (but may have complex solutions).

Let's classify the given quadratic equations based on the number of solutions:

20² +5 = 9 is not a quadratic equation because it does not have a variable with a degree of two. Instead, it is just a number that evaluates to a false statement.

Therefore, it has no solution.

2x² + 3x = 5 is a quadratic equation with a = 2, b = 3, and c = -5. The discriminant is 3² - 4(2)(-5) = 49, which is positive.

Therefore, the equation has two real solutions.

3x² + 2x = 22 is a quadratic equation with a = 3, b = 2, and c = -22. The discriminant is 2² - 4(3)(-22) = 100, which is positive.

Therefore, the equation has two real solutions.

4x² + 12x = 19 is a quadratic equation with a = 4, b = 12, and c = -19. The discriminant is 12² - 4(4)(-19) = 400, which is positive.

Therefore, the equation has two real solutions.

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Drag each equation to the correct location on the table.

Classify the quadratic equations based on the number of solutions.

20² +5 = 9

2x² + 3x = 5

3x² + 2x = 22

4x² + 12x = 19

One Solution

Two Solutions

No Solution

Answer:

3 and 7,

7 and 11,

13 and 17

Step-by-step explanation:

Prime numbers have exactly two factors, the number itself and 1. This just means that nothing "goes into" these numbers. Example: 7. 7 is a prime number; the only number that goes into 7 is 7 (and 1)

First, find all the prime numbers that are less than 20:

2, 3, 5, 7, 11, 13, 17, 19

Next find the pairs that are 4 units apart. 3 and 7 works.

7 - 3 is 4

Also, 13 and 17 works, and 7 and 11.

Answer:

40

Step-by-step explanation:

\(\approx 4\times10\\\approx 40\)

Answer:

Depends on how many decimals you want. No decimals is 40, tenths place is 40.4, hundredths is 40.38

Step-by-step explanation:

4.12*9.8 is 40.376. So it depends on what kind of estimate you want...

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

Answer:

\( \boxed{ \bold{ {\boxed{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2} d + cd}}}}}\)

Step-by-step explanation:

\( \sf{4 {c}^{2} d + 3dc - 2(d {c}^{2} + cd) + 6 {c}^{2} {d}^{2} }\)

Distribute 2 through the parentheses

\( \dashrightarrow{ \sf{4 {c}^{2} d + 3dc - 2d {c}^{2} - 2cd + 6 {c}^{2} {d}^{2} }}\)

Collect like terms

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 4 {c}^{2} d - 2d {c}^{2} + 3dc - 2cd}}\)

\( \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2}d + cd }}\)

Hope I helped !

Best regards! :D

the answer is a on engenuity

Answer:

2^(3/2)

Step-by-step explanation:

8^1/2=(2^3)^1/2

We multiply 3 and 1/2 by the laws of exponents to get

2^3/2

Answer:

13

Step-by-step explanation:

500 - 302=198

198 divided by 15 = 13. 2   round down to 13. 13 guests.

Answer:

You say one, two, three, four and so on.

You can also try going to sleep.

Answer:

U have to use your brain inorder to count cows or just count them with your fingers its that simple ! :) 1, 2, 3, 4, etc.

Answer:

25+14=s

s= 39

Step-by-step explanation:

add the addition problem

Using composite functions, we have that:

2. a. g(h(5)) = 284.

2. b. g(h(t)) = 9t² + 11t + 4.

3. a. \(f(g(x)) = x\).

3. b. \(g(f(x)) = x\).

The composite function of f(x) and g(x) is given by:

\((f \circ g)(x) = f(g(x))\)

For item 2, the functions are:

The composite function of g(t) and h(t) is given by:

g(h(t)) = g(3t + 2) = (3t + 2)² - t = 9t² + 12t + 4 - t = 9t² + 11t + 4.

When t = 5, we have that:

g(h(5)) = 9(5)² + 11(5) + 4 = 284.

For item 3, the functions are:

Hence the composite functions are:

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Answer:

200 X 300% =$600.00

Step-by-step explanation:

The probability of choosing a book with blue on its cover and replacing it before choosing a book with white on its cover is 15/256, or approximately 0.059.

To find the probability of choosing a blue book and then a white book, we need to consider the total number of books and the number of blue and white books in the given scenario.

The total number of books on the shelf is:

5 blue + 6 red + 1 orange + 3 white + 1 blue and white = 16 books

The probability of choosing a blue book and replacing it before choosing a white book can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The number of favorable outcomes is the number of blue books, which is 5. After choosing a blue book and replacing it, the probability of choosing a white book is 3, as there are 3 white books left.

Therefore, the probability of choosing a blue book and then a white book can be calculated as:

\((5/16) \times (3/16) = 15/256\)

The probability calculation is based on the assumption that each book is equally likely to be chosen and that the events of choosing each book are independent of each other.

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Answer:

15 gallons

Step-by-step explanation:

225 divided by 15 is 15

Answer: Trail Mix is $2.75 per pound-

Jelly beans are $3.75 per pound-

Its hard to explain, but heres the answer! brainly please

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀, y₀):

y-y₀ = m(x-x₀)

apply your data

y-2 = 4(x-6)

Answer:

y−2= −2(x−7)

Step-by-step explanation:

khan academy says its right

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

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Answer:

1:9

Step-by-step explanation:

that's how you write scale

Answer:2,160ft

Step-by-step explanation: Volume=length * width * height

30x8x9=2160

The daily revenue equation is; 29700 - 90x - 30x²

Revenue is a function of price multiplied by the quantity. Thus, the equation for revenue can be written as,

Let x represnet the number of times there is an increase in price of $0.5.

The price function is = 16.5 + 0.5x

Revenue = (16.5 + 0.5x)  (1800 - 60x)

Revenue = 29700 - 990x + 900x - 30x²

Revenue = 29700 - 90x - 30x²

To calculate the price that will yield maximum revenue;

d/dx = 0 - 1 * 90x° - 2 * 30x

0 = -90 -60x

90 = -60x

90 / -60 = x

x = -1.5

The price needed to maximize revenue;

p = 16.5 + 0.5 (-1.5)

p = 16.5 - 0.75

p = 15.75

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The correct answer is the intersection of three angle bisectors of a triangle is called the incenter.

The centre of a triangle, known as the incenter in geometry, is a point that can be specified for any triangle regardless of its location or size.

The incenter can also be described as the intersection of the triangle's internal angle bisectors, the point that is equally spaced from its sides, the place where the triangle's medial axis and innermost point of its grassfire transform meet, and the centre of the triangle's inscribed circle.

The medial axis for convex polygons overlaps with the straight skeleton, which is similarly formed from a different kind of offset curve and has its junction at the incenter.

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