Consider the rectangle.
4
x+1
-
Which pair of expressions represents the area of the rectangle?
O 2(x + 1) + 2 (4) and 2x +9
O 2(x + 1) +2 (4) and 2x + 10
O 4(x + 1) and 4x + 1
O 4(x + 1) and 4x + 4

Answer:

8x4-2x2+7

Step-by-step explanation:

it's 100 percent right trust me

Answer:

46

Step-by-step explanation:

1 sum  42+4

Answer:

this hurts my brain x_x my non-existent brain....

Answer:

the smaller number is 13 and the larger number is 67

200 elements are required to be in the sample.

The sampling interval is the frequency with which data is collected. The sampling interval is computed by the division of the total population size by the required sample size.

So, from the information given:

The elements that are required to be in the sample i.e. the sample size (n) can be computed by using the formula:

\(\mathbf{i = \dfrac{N}{n}}\)

\(\mathbf{ n= \dfrac{N}{i}}\)

\(\mathbf{ n= \dfrac{1000}{5}}\)

n = 200 elements.

Therefore, we can conclude that 200 elements are required to be in the sample.

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Answer:

i've inserted 3 pictures. make sure you see each one of them :)

Step-by-step explanation:

Answer: 0.02x

Step-by-step explanation:

The value of the cars the salesman makes is x in this instance.

The salesman makes a 2% commission on every sale so this can be represented by multiplying 2% by the value of the cars which in this case is x.

= 2% * x

= 0.02 * x

= 0.02x

If for instance he sells $40,000 worth of cars, his commission would be:

= 0.02 * x

= 0.02 * 40,000

= $800

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>

Answer:

Step-by-step explanation:

The general equation is y = mx + b

You already have m which is the slope. So the general equation becomes y = -5x + b

The point is meant to find b

x = - 4

y = 7

7 = - 5*-4 + b

7 = 20 + b                         Subtract 20 from  both sides.

7 - 20 = 20-20 + b           Combine

- 13 = b

Answer: y = - 5x - 13

In an hour, the first pipe can fill up 1/8 of the pool
In an hour, the second pipe can fill up 1/12 of the pool
In an hour, the third pipe can fill up 1/24 of the pool.

So, in an hour, the 3 pipes can fill up 1/8 +1/12 + 1/24 = 6/48 + 4/48 + 2/48 = 11/48 of the pool.

It will take the 3 pipes 1 : 11/48 = 48/11 hours to fill the pool.

The graph of N(t) = 75t + 120 is a straight line with a positive slope of 75. It intersects the y-axis at (0, 120) and has a y-intercept of -8/5. As t approaches infinity, N(t) increases without bound, indicating a positive relationship between the number of days of training and the average number of components assembled per day.

To sketch the graph of N(t) = 75t + 120, we can plot points on the coordinate plane by substituting different values of t into the equation.

For example, when t = 0, N(0) = 75(0) + 120 = 120. So, we have the point (0, 120).

When t = 1, N(1) = 75(1) + 120 = 195. So, we have the point (1, 195).

We can continue to calculate more points using different values of t.

The intercept is when N(t) = 0:

0 = 75t + 120

-120 = 75t

t = -120/75

t = -8/5

So, we have the intercept (0, -8/5).

To find the asymptote, we need to check what happens to N(t) as t approaches infinity. As t becomes larger and larger, the constant term 120 becomes less significant compared to the term 75t. Therefore, as t approaches infinity, N(t) approaches infinity as well.

In practical terms, this means that as the number of days of training (t) increases, the average number of components assembled (N) per day also increases. However, it is important to note that this is based on past records and the actual performance of new employees may vary. The equation provides an average trend and does not account for individual variations or other factors that may affect productivity.

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Answer:

4(x-5)+(3x+15)-5x

4x-20+3x-20+15=0

collect like terms

4x-5x+3x-20+15=0

2x-5=0

2x÷2=5÷2

x=5÷2

The area of the considered equilateral triangle is given by: Option D: \(24.2 \: \rm cm^2\)

For a regular polygon (a polygon with all sides of same measure), the line segment drawn from the center of the polygon to the mid point of a side of the polygon is called apothem.

Referring to the attached figure below, for the considered case,  we're given that:

Since all sides of an equilateral triangle are same, let they be of 'x'  cm length for this case, then:

\(Perimeter = x + x + x = 22.45\\\\x = \dfrac{22.45}{3} \approx 7.48 \: \rm cm\)

Since the equilateral triangle has all same sides, all three triangles AOC, AOB, and BOC are congruent and have same area.

The area of ABC = Area of AOC + Area of AOB + Area of BOC = 3 × Area of AOC

The area of AOC = half of base times height. The height is length of the apothem since because of symmetry in right and left of the apothem, it is standing with equal angle on both sides of AC, thus, half of straight line angle, therefore of 180/2 = 90 degrees, thus, perpendicular.

Area AOC =  \(\dfrac{1}{2} \times |AC| \times |OD| \approx \dfrac{1}{2}{ \times 7.48 \times 2.16 \approx 8.078\rm \: cm^2\)

Thus, area of ABC = 3 × Area of AOC = \(3 \times 8.078 \approx 24.2 \rm \: cm^2\)

Thus, the area of the considered equilateral triangle is given by: Option D: \(24.2 \: \rm cm^2\)

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ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles .

Similar triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

Given,

m∠H = 30°

m∠J=50°

m∠P=50°

m∠N=100°

In triangle ΔHKJ

m∠H = 30°

m∠J=50°

m∠K= 180°- (m∠H+m∠J) = 180°-(30°+50°)

m∠K= 100°

In ΔHKJ and ΔLNP,

m∠J = m∠P= 50°

m∠K= m∠N= 100°

According to Angle-Angle (AA) rule, two triangles are said to be similar if two angles in one particular triangle are equal to two angles of another triangle.

Thus, ΔHKJ and ΔLNP are similar triangle due to equal pair of corresponding angles.

Hence, ΔHKJ ~ ΔLNP

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Answer:

-21n + 8

Step-by-step explanation:

1 + 7(1 - 3n)

1 + 7 - 21n

8 - 21n

Best of Luck!

9514 1404 393

Explanation:

We will prove by contradiction. We assume that the given sum is rational, and the ratio can be expressed in reduced form by p/q, where p and q have no common factors.

  \(\sqrt{n-1}+\sqrt{n+1}=\dfrac{p}{q}\qquad\text{given}\\\\(n-1)+2\sqrt{(n-1)(n+1)}+(n+1)=\dfrac{p^2}{q^2}\quad\text{square both sides}\\\\2(n+\sqrt{n^2-1})=\dfrac{p^2}{q^2}\qquad\text{simplify}\)

We note that this last equation can have no integer solutions (n, p, q) for a couple of reasons:

There can be no integer n for which the given expression is rational.

Answer:

-3/5

Step-by-step explanation:

Sec = h/a = 5/4

3-4-5- Right Triangle

Sin = o/h = 3/5

Quadrant 3 = Only +Tan

Thererfore = -3/5

Answer:

$11, even if you do work a job thats not that hard you should still be making a good amount of money

Step-by-step explanation:

I just used my opinion

Answer:

0.5

Step-by-step explanation:

Well, first of all, I dislike dividing by fractions, so let's turn these fractions into decimals.

\(\frac{3}{5} + \frac{-1}{4} / \frac{7}{10}\)

0.6 + -0.25 ÷ 0.7

Now we an solve.

0.60 - 0.25 = 0.35

0.35 ÷ 0.7 = 0.5

Hence, the value of  variable in the given expression x is 8

An angle is formed when two straight lines  meet at a common endpoint.

∠1 = 7x - 4

∠2 = 3x + 28

A secant line that crosses two parallel lines produces these angles. After that, these angles were congruent, which means that their measures are equal.

Then, equaling  both given expressions and solving for x,  we get:

Step1: subtract 3x both sides

7x - 4 = 3x + 28

Step2: add 4 both sides

7x - 3x - 4 = 28

Step2: simplify like terms

7x - 3x = 28 + 4  

Step3: divide by 4 both sides

4x = 32  

x = 32/4

x = 8

Hence, the value of x is 8.

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Answer: a) The amount of interest that would be added to the loan after one year at a 10% annual compound interest rate is 15000010/100 = 15000. Therefore, the total amount of the loan after one year would be 150000+15000 = 165000. After the person paid Rs 85000 at the end of the first year, the remaining amount of the loan would be 165000-85000 = 80000.

To clear the debt at the end of the second year, the person would have to pay 80000+8000010/100 = 80000+8000 = 88000 rupees.

b) If the person had only paid the loan at the end of the second year, the interest on the loan would be 15000010/1002 = 30000 rupees.

The total amount of the loan would be 150000+30000 = 180000 rupees.

Therefore, the difference in interest paid would be 30000-8000 = 22000 rupees more.

He would have to pay 22000 rupees more than what he paid in the first case.

Answer:

$13

Step-by-step explanation:

5 x 12 = 60, 60 - 125 = 65, 65 divided by 5 = 13

Answer:

32 feet

Step-by-step explanation:

6 = 8

24 = ?

24 × 8 = 197

197 ÷ 6 = 32.

Answer:

32 feet

Step-by-step explanation:

ratio 6:8 simplified is 3:4

\(\frac{3}{4}\) x \(\frac{8}{8}\) = \(\frac{24}{32}\)

32 Feet

Therefore , the solution of the given problem of equation comes out to be 12 pennies.

A equation is a method that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific assertion that confirms the equivalency of two schemas is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the relationship between two phrases on either side of a letter. Frequently, the symbol and the single variable are the same. For example, 4x – 4 = 0.

Here,

Solving once per variable is the key to this issue.

Let x equal quarters and y equal dimes.

So, x + y = 20

Now, we'll build an equation using the coin values and total quantity of cash. (Decimals have been omitted for clarity.) 25x + 10y = 320

In terms of y, let's restate the original equation: y = 20 - x

In the second equation, we will now substitute this for y. 25x + 10(20-x) = 320

Calculate the value of x: 25x + 200 – 10x = 320.

15x = 120

8 quads times x

In light of this, y = 20 - 8 = 12 pennies.

Therefore , the solution of the given problem of equation comes out to be 12 pennies.

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The zeros of a function, also known as the roots or x-intercepts, are the values of the independent variable for which the function evaluates to zero. In other words, they are the values of x where the graph of the function crosses or intersects the x-axis.

To find the zeros of the function y = (x + 1)(x - 4)(3 - 2x), we set the function equal to zero and solve for x:

0 = (x + 1)(x - 4)(3 - 2x)

To find the zeros, we set each factor equal to zero and solve for x individually:

x + 1 = 0

> x = -1

x - 4 = 0

> x = 4

3 - 2x = 0

> 2x = 3

> x = 3/2

Therefore, the zeros of the function are x = -1,

x = 4, and

x = 3/2.

Now let's determine the multiplicity of any multiple zeros. Since the function is factored, we can determine the multiplicity by looking at the power or exponent of each factor.

In this case, all the factors are linear, which means each zero has multiplicity 1. Therefore, the zeros -1, 4, and 3/2 each have a multiplicity of 1.

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All the zeros have a multiplicity of 1.

To determine the zeros of the function y = (x+1)(x-4)(3-2x), we need to set y equal to zero and solve for x. The zeros of a function are the values of x that make the function equal to zero.
Step 1: Set y = 0
0 = (x+1)(x-4)(3-2x)
Step 2: Use the zero product property
The zero product property states that if a product of factors is equal to zero, then at least one of the factors must be zero. Therefore, we can set each factor equal to zero and solve for x separately.
x+1 = 0
x = -1
x-4 = 0
x = 4
3-2x = 0
-2x = -3
x = 3/2
So, the zeros of the function y = (x+1)(x-4)(3-2x) are -1, 4, and 3/2.

Now let's determine the multiplicity of any multiple zeros. The multiplicity of a zero indicates how many times the factor (x-a) appears in the factored form of the function. We can determine the multiplicity by observing the powers of each factor.
In this case, we have three factors: (x+1), (x-4), and (3-2x).
The factor (x+1) appears once, so its multiplicity is 1.
The factor (x-4) also appears once, so its multiplicity is 1.
The factor (3-2x) appears once, so its multiplicity is 1 as well.

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The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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Answer:

D. 48

Step-by-step explanation:

y=10x-2 is our equation

If x is 5, then multiply 10 by 5. You get 50.

Subtract 2 from that. You get 48.

Answer:

D, 48

Step-by-step explanation:

Given x=5, plug x into y=10x-2

First you should plug the given x into the x in the equation. And put () around it.

y=10(5)-2

Now you multiply 10 by 5 and you get 50.

y=50-2

Now the last step is to subtract 2 from 50 which you will end up getting y=48. So the answer is y=48 which is letter D.

y=48

Distance covered is 161.54 miles.

The length of a straight line connecting any two places in space, which is the shortest route, is the distance between them. In classical physics, particularly Newtonian mechanics, this is the common definition of distance. The Pythagorean theorem is used to calculate Euclidean distance in coordinate geometry. Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Given,

Going speed of Lucinda = 60 mph

Returning speed of Lucinda = 70 mph

Let distance of one side be d

Speed = Distance/ Time

time = distance/speed

Going time taken t₁ = d/60

Returning time taken = d/70

t₁ + t₂ = 5 hr

t₁ + t₂ = d/60 + d/70

5 = 13d/420

d = 5× 420/13

d = 161.54

Distance covered is 161.54 miles.

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Answer:

10%

Step-by-step explanation:

40 times 1% equals 4 (inverse operation)