(-x + 3) - (x - 5)
Use the additive inverse

Answer: 7

let x be the number

2(-9 + x) = x - 11

-18 + 2x = x - 11

2x - x = -11 + 18

x = 7

Suppose that x is the number we want :

- 9 added to it means :

\(x + ( - 9) = x - 9\)

And sum is doubled means :

\(2 \times (x - 9)\)

The result is 11 less than the number which means :

\(2 \times (x - 9) = x - 11\)

Now let's find the x ...

\(2x - 18 = x - 11\)

Add both sides 18

\(2x - 18 + 18 = x - 11 + 18\)

\(2x = x + 7\)

Subtract both sides x

\(2x - x = x + 7 - x\)

\(2x - x = x - x + 7\)

\(x = 7\)

Thus that number is 7

Answer:

growth

Step-by-step explanation:

Answer:

A. Growth

Step-by-step explanation:

There is a 1 in front of 0.04, which also means 104%, so it's an increase, therefore growth. Decay would be below 100%.

I hope this helps you!! ^-^

Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

The value of the system in which newton's law of motion is applicable is (a) 25 (b) 10 (c) if output is x , 4y -x-15 =0

What about newton's law of motion?

Newton's laws of motion are three fundamental laws in classical physics that describe the behavior of objects in motion. They were first presented by Sir Isaac Newton in his work "Philosophiee Naturalis Principia Mathematica" in 1687. The three laws are:

According to the given information:

a) When input is 10.

   output= 10×4 - 15 =25

b) From the question output is 25

  Because input* 4 -15= output. So (output +15) / 4= input

  so input =\((25+15)/4\) =10

c) if output is x. So y × 4 - 1 5 = x , 4y - x - 15 = 0

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The value of the system in which newton's law of motion is applicable is (a) 25 (b) 10 (c) if output is x , 4y -x-15 =0

What about newton's law of motion?

Newton's laws of motion are three fundamental laws in classical physics that describe the behavior of objects in motion. They were first presented by Sir Isaac Newton in his work "Philosophiee Naturalis Principal Mathematical" in 1687. The three laws are:

The Law of Inertia: An object at rest will remain at rest, and an object in motion will continue in a straight line with constant velocity, unless acted upon by an external force.

The Law of Acceleration: The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, F = ma, where F is the net force, m is the mass of the object, and a is the acceleration.

The Law of Action-Reaction: For every action, there is an equal and opposite reaction. This means that when an object exerts a force on another object, the second object exerts an equal and opposite force back on the first object.

According to the given information:

a) When input is 10.

  output= 10×4 - 15 =25

b) From the question output is 25

 Because input* 4 -15= output. So (output +15) / 4= input

 so input = =10

c) if output is x. So y × 4 - 1 5 = x , 4y - x - 15 = 0

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The width of the frame should be 9 inches. We can start by finding the dimensions of the watercolor if its ratio is 5:6. Let's assume that the width of the watercolor is 5x, then the height would be 6x.

According to the problem, the actual dimensions of the watercolor are 10.5 in by 14 in. We can set up a proportion to find the value of x:

10.5 / 5 = 14 / 6

Simplifying this proportion, we get:

2.1 = 2.333...

This means that the width of the watercolor is 2.1 times larger than what it should be to maintain the 5:6 ratio.

To find the desired width of the watercolor, we can divide the actual width by 2.1:

10.5 / 2.1 = 5

Therefore, the desired width of the watercolor is 5 inches.

Now we can find the width of the frame by subtracting the desired width from the actual width of the watercolor:

14 - 5 = 9

So the width of the frame should be 9 inches.

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2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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The implication (p â q) is a logical statement that consists of a pair of sentences, where p represents the antecedent and q represents the consequent.

These two sentences are connected by the a operator, which means "if...then." The implication is considered true if the antecedent is true and the consequent is also true, or if the antecedent is false. However, it is false only when the antecedent is true and the consequent is false. Therefore, the truth value of the implication depends on the truth value of its two component sentences.
True, the Implication (p → q) consists of a pair of sentences separated by the → operator. In this context, p and q represent two different sentences, and the → operator signifies that if p is true, then q must also be true. This is also known as a conditional statement.

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Given that ⁵∫₀ (x)x = -9 and ⁵∫₀ (x)x = 26, we need to evaluate the integral ⁵∫₀ ((x)+(x))x. By applying the linearity property of integrals, we can split the integral into two parts: ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx. Substituting the given values, we have -9 + 26 = 17 as the result of the integral.

To calculate ⁵∫₀ ((x)+(x))x, we can apply the linearity property of integrals, which states that the integral of a sum is equal to the sum of the integrals.

Therefore, we can rewrite the integral as ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx.

Substituting the given values, we have ⁵∫₀ (x)x dx + ⁵∫₀ (x)x dx = -9 + 26 = 17.

Hence, the value of the integral ⁵∫₀ ((x)+(x))x is 17.

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543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x \(D^{2}\) x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

4.5, 4, 3.5, 3, 2.5, 2

Step-by-step explanation:

The table of values for x + 2 y = 7 is 4.5, 4, 3.5, 3, 2.5, 2 .

A table of values is a graphic organizer or chart that helps you determine two or more points that can be used to create your graph. Here is an example of a table of values for the equation, y= 2x + 1.

A table of values is a set of ordered pairs usually resulting from substituting numbers into an equation (relation). The equation determines the relationship between each pair of numbers in each ordered pair in the table of values.

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The Frequency Distribution table is shown below.

The proportion of one event's frequency to all events' frequencies in a statistical experiment.

Divide the frequency by the total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies to the relative frequency for the current row to obtain the cumulative relative frequency.

Given:

The Frequency Distribution table is as follow:

Bin                           Frequency     relative Frequency        Cumulative        

                                                                                                Frequency

0- 5000                        4                    4/25 x 100 = 16%            4

5000 - 10000               7                    7/25 x 100 = 28%           4+7 = 13

10000- 15000               7                    7/25 x 100 = 28%            13+ 7= 20

15000 -20000              4                    4/25 x 100 = 16%            20+4= 24

20000-25000              3                    3/25 x 100 = 12%              24+3= 27

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Answer:

147

Step-by-step explanation:

Given equation:

\(\frac{w}{-7} =-21\)

For the given numbers to be solutions it means,  when we substitute w with any of the given numbers 147, -147, 3,-3 the equation given is true - the left side of the equal sign has to be equal with the right side of the equal sign.

left side = right side

Given solutions:

147, -147, 3, -3

Notice the on the right side we have a negative number -21 so on the left side since we already have a negative number -7, w can not be negative therefore we eliminate the negative values -147 and -3

Eliminate negative values -147, -3 from being possible solutions, and check for positive values 147,  3 if they are solutions for \(\frac{w}{-7} =-21\):

→substitute w by 147

\(\frac{147}{-7} = -21\\-21 = -21\) ✅

→substitute w by 3

\(\frac{3}{-7} =-21\\-.429 = -21\) ❌

Conclusion:

The solution for the equation \(\frac{w}{-7} =-21\) is w = 147

Answer:

D. y=0.3(x+0.8)^2 -10

Step-by-step explanation:

When looking at the y-intercepts (the number at the very end of the equation) of the equations -10 is the one farthest away from the y-axis

Answer:

C: y = |x-2| + 3

Step-by-step explanation:

When dealing with transformations, the numbers in the parentheses is the horizontal translation and the numbers outside the parentheses are vertical translation. The only reason the lines are | rather than ( is that they are absolute value.

When taking the horizontal measures, you always flip the sign. So since it is going to the right 2 times, you would think it would be +2, but since it is in the parentheses it would be -2.

When taking the vertical measures, it's just standard thought. So since it is up 3 it would be +3.

Putting all of that together would give you |x-2|+3

Given that K is the midpoint of ER, and EK = x + 5 and ER = 4x + 2, the length of KR is determined to be 6.



To find the length of KR, we can use the fact that K is the midpoint of ER. The midpoint of a line segment divides it into two equal parts. Therefore, we can set up the equation EK = KR.

Given that EK = x + 5 and ER = 4x + 2, we substitute these values into the equation:

x + 5 = 4x + 2

Now, we solve this equation to find the value of x:

4x - x = 5 - 2

3x = 3

x = 1

Substituting x = 1 back into EK = x + 5:

EK = 1 + 5

EK = 6

Since K is the midpoint of ER, and the length of EK is 6, we can conclude that KR is also equal to 6.

Therefore, the length of KR is 6.

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Answer:

The product of a number and its reciprocal is 1.

For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1

Hope this helps!

:)

The missing term in the equation is n = -2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the missing term be represented as n

-2x + 18 = nx + 18

Subtracting 18 on both sides of the equation , we get

-2x = nx

Divide by x on both sides of the equation , we get

n = -2

Therefore , the missing term is n = -2

Hence , the equation is n = -2

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Answer:

j is the answer because 1/8 of the houses is 5 2/5 of 40 is 16 and 16 +5 =21 40-21 =19

Step-by-step explanation: There are 80 houses in a neighborhood.

• Company X provides electricity to one eighth of the

houses.

• Company Y provides electricity to two fifths of the

houses.

Company Z provides electricity to the

remaining houses.

In this neighborhood, Company Z provides electricity

to how many houses?

For the moving platform shaped in parallelogram, the correct number in each box is

The result is obtained by using the properties of angles in parallelogram.

The properties of angles in parallelogram are:

There are 2 pairs of sides of parallelogram. A pair of sides are parallel to each other and have the same length.

In the picture, we have

Find x, m∠A, AB, and BC!

m∠D and m∠C are consecutive angles. So,

35° + (4x + 5) = 180°

35° + (4x + 5)° = 180°

40° + 4x = 180°

4x = 180° - 40°

4x = 140°

x = 140°/4

x = 35°

m∠A and m∠C are the opposite angles. So, they are equal.

m∠A = m∠C

m∠A = (4x + 5)°

m∠A = (4(35) + 5)°

m∠A = 145°

AB is parallel to DC. So,

AB = DC = 32 ft

BC is parallel to AD. So,

BC = AD = 14 ft

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Answer:

0,25

Step-by-step explanation:

Answer:

0.25 or 1/4

Step-by-step explanation:

The square root of - 10 is not a real number but a complex number, an irrational number.

Numbers can be classified in real numbers and complex numbers. Real numbers are classified in natural numbers (i.e. 1, 4, 5), whole numbers (i.e. 0, 1, 4, 5), integers (i.e. - 4, -1, 0, 5, 6) and rational numbers (i.e. 5 / 7, 0, - 13 / 3) and part of the irrational numbers (i.e. √3, π) and the rest of irrational numbers are complex numbers (i.e. i 4, - 4 + i 5).

In consequence, the square root of - 10 is not a real number but a complex number, an irrational number.

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Answess

Step-by-step explanation:

Answer:

i can't see

Step-by-step explanation:

plz zoom in more

Answer:

A

Step-by-step explanation:

If you simplify, you get: 3q+3-4

Simplify more: 3q-1

most simplified.

PS You get 3q+3 by using the distributive property

The slope from points (5, -7) and (6, -4) is 3.

The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.

The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by

Here we have

Points (5, -7) and (6, -4)

As we slope of the line is [y₂ - y₁]/[x₂ - x₁]  

Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)    

Slope from given points = [-4 - (-7) ]/[6 - 5]    

= [-4 + 7) ]/[1]  = 3    

Therefore,

The slope from points (5, -7) and (6, -4) is 3.

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The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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The equation that can be used to find the unknown number is 9x - 5 = 40

Let's assume the unknown number is represented by the variable "x".

According to the given information, "9 times a number" can be expressed as "9x" and "5 more than 9 times a number" can be expressed as "9x + 5".

The problem states that the difference between "9 times a number" and 5 is 40.

Mathematically, this can be written as:

9x - 5 = 40

To find the unknown number, we can solve this equation for "x".

Adding 5 to both sides of the equation:

9x - 5 + 5 = 40 + 5

9x = 45

Dividing both sides of the equation by 9:

(9x)/9 = 45/9

x = 5

Therefore, the unknown number is 5.

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