2x + -3 = -23

what is the value of x ?

Answer:

x/12

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

2(x+7) = x + 18

2x + 14 = x + 18

x + 14 = 18

x = 4

Answer:

C. 4

Step-by-step explanation:

\(2(x + 7) = x + 18\)

\(2(x+7) = 2x + 2×7\)

\(=2x+14\)

\(2x + 14 = x + 18\)

\(2x + 14-x=18\)

\(2x - x = 18 - 14\)

\(x=18-14\)

\(x = 4\)

Answer:

b, c, d, f

Step-by-step explanation:

Which ordered pairs are solutions to the inequality?

 2x+3y≥−1?

a≥b means that A must be equal to or greater than B.

Let's do this the long, but easy way, by plugging it in!

(x,y)

a. (0,-1) -> -3≥-1 -> false

b. (5,-1)-> 7≥-1 -> true

c. (-2,1) -> -1≥-1 -> true

d. (0,1) -> 3≥-1 -> true

e. (-6,0) -> -12≥-1 - > false

f. (2,-1) -> 1≥-1 -> true

Let me know if it is incorrect!

- a friendly 8th grader :)

Answer:

C

Step-by-step explanation:

Assuming an annual appreciation rate of 5.4 percent, collection of 47 1952 silver dollars, purchased at face value, will be worth approximately $148.51 when you retire in 2057.

To calculate the future value of your collection, we can use the formula for compound interest: FV = PV * (1 + r)ⁿ, where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years. In this case, the present value is the face value of the silver dollars, which is equal to 47 * $1 = $47.

To find the future value in 2057, we need to calculate the number of years from the present to 2057, which is 2057 - current year. Assuming the current year is 2023, the number of years is 2057 - 2023 = 34.

Plugging in the values, we have

FV = $\(47 * (1 + 0.054)^{34\) = $\(47 * (1.054)^{34\) ≈ $148.51.

Therefore, your collection of 47 1952 silver dollars will be worth approximately $148.51 when you retire in 2057, assuming they appreciate at an annual rate of 5.4 percent.

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To find the arc length, we use the formula L = rθ, where r is the radius of the circle, θ is the central angle of the arc in radians, and L is the arc length.

Arc length refers to the distance covered along the curved portion of a circle or any other curved shape. It is an important concept in geometry and trigonometry and is used to measure the size of circular arcs, the size of angles, and in many other mathematical applications.

To find the arc length, we need to use the formula for the circumference of a circle and the central angle of the arc.

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle.

The central angle of the arc is given in radians and is defined as the angle between two radii that meet at the endpoints of the arc.

To find the arc length, we use the formula

=> L = rθ,

where L is the arc length, r is the radius of the circle, and θ is the central angle of the arc in radians.

To convert the central angle from degrees to radians, we use the formula θ = (π/180) x degrees, where degrees are the central angle in degrees.

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Answer:

23

Step-by-step explanation:

8-2=6

6×3=18

18+5=23

Answer: 23

Step-by-step explanation:

Answer:

Cross Sectional

Step-by-step explanation:

A cross sectional is one in which an association is developed between a risk factor or an outcome.

In the given question the device is used to record the viewing habits of about 2500 ​households, and the data collected today will be used to determine  the proportion of households tuned to a particular news program. There will be risk factor in today's research with the future developed program which will the outcome.

For example there are 20 students in my class who cannot write. So I develop a program to help them write. But the next year there may not be any student who would require such help.So there's a risk factor associated with the outcome.

Cross sectional results are recorded in a two ways table showing do's and don'ts.

Answer:

Step-by-step explanation:

(4+7)(3)/2=16.5

Answer:

x=y/6 - 11/6        

y=-7/3  +2x/3

Step-by-step explanation:

Using proportions, it is found that he predicts that the arrow will land on the green section 24 times.

A proportion is a fraction of a total amount.

Considering that each trial has a 1/2 probability of resulting in heads, the fraction correponding to the probability of simultaneously flipping three "heads" is given by:

\(p = \left(\frac{1}{2}\right)^3 = \frac{1}{8}\)

Considering that he does this 24 times, we apply the proportion, hence:

\(\frac{1}{8} \times 24 = 3\).

He predicts that the arrow will land on the green section 24 times.

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Answer:

Step-by-step explanation:

This looks like it is intended to represent two equations. They can be solved as a system in any of the usual ways.

The two equations seem to be ...

Adding 4y to the second equation gives ...

  x -4y +4y = -3y +4y

  x = y . . . . . . . . simplify

Substituting for y in the first equation gives ...

  4x -x = 3

  3x = 3 . . . . simplify

  x = 1 . . . . . divide by 3

  y = 1 . . . . . same as x

The variables x and y both have a value of 1.

__

The attachment shows a graphical solution to these equations.

get x = 128 is not a step

If an IR signal has a percent transmittance of 45%, then the sample absorbed 55% of the IR light

The percent transmittance of an IR signal = 45%

The equation of percent transmittance is

Percent transmittance = ( I / Io ) × 100

Where Io is the intensity of the IR signal entering the sample

I is the intensity of the IR signal leaving the sample

If the Io = I, then the percent transmittance is 100% that means the sample did not absorb any light and if Io= 0 then the the percent transmittance is 0% then sample absorbed all the light

Here, the percent transmittance is 45%, that mean the 55% of light absorbed by the sample

Therefore, the sample absorbed 55% of the IR light

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Answer:

x = 17

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , that is

50 + 75 + 3x + 4 = 180

3x + 129 = 180 ( subtract 129 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

Answer:

a) N

b) L

c) area I

d) area II

e) area VI

Step-by-step explanation:

a) the points that are 2cm from R are Q, N, M, S. Then, points that are 4cm from P are K, N, R. So, the only one point that works for both is N.

b) the points that are >2cm from R are P, K, L, T. We do not count those are exactly 2cm from R. Then, points that are 4cm from T are R, M, L. Ans is L.

c) <4cm from P, are area I and II. Then area that are >2cm from R are I, VI, and V. So, the only area that works for both is I.

d) <2cm from R, are areas II, III, and IV. Then, <4cm from P, are areas I and II. So, the only one works for both is area II.

e) >4cm from T, are areas I, II, III, VI. Then, >4cm from P, are III, IV, V, VI. Finally, >2cm from R, are areas I, VI, V. The only one that works for all three conditions is area VI.

Answer:

\(f^{-1}(x)= \:\log _7\left(\left(8x-1\right)^3\right)\)

Explanation:

\(f(x) = \frac{(7^x)^{\frac{1}{3} }+1}{8}\)

Let f(x) be y

\(y = \frac{(7^x)^{\frac{1}{3} }+1}{8}\)

exchange x and y

\(x = \frac{(7^y)^{\frac{1}{3} }+1}{8}\)

simplify

\(8x= {(7^y)^{\frac{1}{3} }+1}\)

simplify

\(8x - 1 = 7^{\frac{y}{3} }\)

simplify

\(8x - 1 = \sqrt[3]{7^y}\)

simplify

\((8x-1)^3 = 7^y\)

apply log rules

\(y = \frac{log((8x-1)^3 )}{log(7)}\)

\(y = \:\log _7\left(\left(8x-1\right)^3\right)\)

therefore

\(f^{-1}(x)= \:\log _7\left(\left(8x-1\right)^3\right)\)

In the given triangle, The length of side BC is,

⇒ BC = 8

Since, We know that;

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In a triangle,

DE = 6.4

Side DF is 4.

Hence, We get;

⇒ CE =  4

Because it is a parallelogram.

And, It a parallelogram opposite side are parallel and equal to each other.

And, Sides CE and EB are congruent.

This means that if CE if 4,

And, EB is also 4.

Hence, We can formulate;

⇒ CE + EB = BC

Substitute all the values of CE and EB,

⇒ 4 + 4 = BC

⇒ BC = 8

Therefore, We get;

The length of side BC is,

⇒ Side BC = 8

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Image is shown in figure.

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

Step-by-step explanation:

The surface are of rectangular prism = 140 ft²

Surface area of rectangular prism is given by :

A = 2(lw + lh + wh)

Using trial by error method :

6 feet by 2 feet by 3 feet

A = 2(6*2 + 6*3 + 2*3) = 72ft²

6 feet by 5 feet by 4 feet

A = 2(6*5 + 6*4 + 5*4) = 148 ft²

7 feet by 6 feet by 4 feet

A = 2(7*6 + 7*4 + 6*4) = 188ft²

8 feet by 4 feet by 3 feet

A = 2(8*4 + 8*3 + 4*3) = 136ft²

Answer:

0.125

Step-by-step explanation:

first we have to make it to where 1/8 can fit into 100

1/8 x 100/100 equals 100/800

now times 100/800 by 8/8 and get 1/8 or 0.125

Answer:

34 ft.

Step-by-step explanation:

Use the theorem \(a^{2}\) +  \(b^{2}\) = \(c^{2}\), and then square root that number.

\(16^{2} + 30^{2} =\) \(\sqrt{1156}\)  = 34. So the answer is 34 ft.

(D) "subjects as diverse as"

"As...as" is the proper construct to employ when comparing items that are equal in some sense, therefore using "as" in this context is inappropriate (which is what happens in the sentence) So, the correct response is D.

Choice (A) uses awkward wording. As demands "such" come before it. Option (B) uses awkward wording. Should read "such as," not "that are." An incorrect idiom is present in Option (C).

It should be "diversity such as," not "such diversity." There is an agreement issue with Option (E) (in number). The various subjects mentioned cannot be referred to as "a subject".

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The domain and range of F is F={(x, y) Ix+y=10] is: 3. Domain: All Real Numbers Range: All Real Numbers

The given set F={(x, y) | x+y=10} represents a linear equation where the sum of x and y is always equal to 10.

To determine the domain and range of F, we need to consider the

possible values of x and y that satisfy the equation.

Domain: The domain represents the set of all possible values for the independent variable, which in this case is x. Since there are no restrictions on the value of x, the domain is All Real Numbers.

Range: The range represents the set of all possible values for the dependent variable, which in this case is y. By rearranging the equation x+y=10, we can solve for y to get y=10-x. Since x can take any real value, y can also take any real value. Therefore, the range is also All Real Numbers.

The correct answer is: 3. Domain: All Real Numbers Range: All Real Numbers

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The slope of the tangent line to the curve at P(0.25, 20).

The point P(1/4,20) lies on the curve y = 5/x.

If Q is the point (x,5/x) and we have to find the slope of the secant line PQ for various values of x.

We have the following values of x:If x = 0.35, the slope of PQ is:

(5/0.35 - 20) / (0.35 - 0.25)

= (14.29 - 20) / 0.1= -57.1

If x = 0.26, the slope of PQ is: (5/0.26 - 20) / (0.26 - 0.25)= (19.23 - 20) / 0.01= -77.7

If x = 0.15, the slope of PQ is: (5/0.15 - 20) / (0.15 - 0.25)= (33.33 - 20) / -0.1= -133.3

If x = 0.24, the slope of PQ is: (5/0.24 - 20) / (0.24 - 0.25)= (20.83 - 20) / -0.01= -83.3

Based on the above results, guess the slope of the tangent line to the curve at P(0.25, 20).

We can observe that as we take x closer to 0.25, the slope of the secant line PQ is decreasing, and from the above calculations, we can guess that the slope of the tangent line to the curve at P(0.25, 20) is approximately -80.
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Answer:

Step-by-step explanation:

d because you get 1.3 and u round it to D

Answer:

option d is a correct answer....

The maximum height of the skateboarder is 40.25 feet after 0.875 seconds

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let h(t) represent the height of the skateboarder after t seconds.

h(t) = -16t² + 28t + 8

The maximum height is at h'(t) = 0

h'(t) = -32t + 28

-32t + 28 = 0

32t = 28

t = 0.875s

h(0.875) = -16(0.875)² + 28(0.875) + 8 = 40.25 feet

Maximum height is 40.25 feet

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Answer:

1/6x or just 1/6

Step-by-step explanation:

the equation is y = mx + b and 1/6x is in place m which is the slope

stream blueberry eyes by MAX AND SUGA periodTt

The slope is also known as the gradient and the rate of change of the line. The slope of the line for the equation y= 1/6x + 1/4 is 1/6

The slope is also known as the gradient and the rate of change of the line, The equation of aline in slope intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Given the equation y = 1/6x + 1/4

Compare

mx = 1/6x

m = 1/6

Hence the slope of the line for the equation y= 1/6x + 1/4 is 1/6

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Answer:

$40

Step-by-step explanation:

50/5=10, 10•4=40

The polynomial identities and proofs are mathematical statements that show that two algebraic expressions are equal. They can be used to simplify equations or to prove certain properties of polynomials.

For example, to prove x^2 + 2x + 1 = (x + 1)^2, you can factor the left side and expand the right side. This will show that x^2 + 2x + 1 = x^2 + 2x + 1 and thus the two polynomials are equal.

x^2 + 2x + 1

= (x + 1) (x + 1)

= x^2 + 2x + x + 1

= x^2 + 3x + 1

= (x + 1)^2

To prove that x^2 + 2x + 1 = (x + 1)^2, we first factor the left side x^2 + 2x + 1 and expand the right side (x + 1)^2. This will give us two equations: x^2 + 2x + 1 and x^2 + 3x + 1. From here, we can observe that both equations are identical, and thus the two polynomials are equal. This can be further verified by noting that the left side is the result of squaring x + 1, and the right side is the square of x + 1. Therefore, x^2 + 2x + 1 is equal to (x + 1)^2.

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