PLS HELP !! ITS DUE tommorow!!

Answer: x=3

Step-by-step explanation:

log₂(x+5)-log₂(x-2)=3

Domain:

x+5>0    ⇔    x>-5

x-2>0     ⇔    x>2

Hence, x>2 or x∈(2,∞)

              Solution:

[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]

Multiply both parts of the equation by (x-2):

[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]

Divide both parts of the equation by 7:

[tex]3=x\\\\Thus,\ x=3[/tex]

The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.

A diagrammatic depiction of a set of facts is called a graph, chart, or diagram.

Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions. Graphs should ideally be pleasing to the eye.

Please be aware that the terms graph, chart, and diagram can be imprecise and are sometimes used synonymously.

Graphs need to be accurate and effective in communicating information. They ought to be legible at different computer screen resolutions.

Given,

Slope m=3

y-intercept (c)=-2

The slope-intercept form is given as

y=mx +c

Therefore, y=3x-2

The equation of the line is y=3x-2 where the slope is 3 and the y-intercept is -2.

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Answer: B. ≤

Step-by-step explanation:

≤

The cost of each bottle of water is equal to the cost of each bag of chips.

The expression:

The expression is defined as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/variable, Math Operator, Number/variable)

Here it is given that 4 bottles, 2 bags of chips, and a fruit salad.

The price of a fruit salad is $5.

The expression given is:

4x + 2x + 5

To find the relation between the price of a bottle and a bag of chips, we have:

Price of bottles = 4x/4 = x

Price of bag of chips = 2x/ 2 = x

Therefore we get that the cost of each bottle and each bag of chips is the same.

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The complete question is:

Jalen bought 4 bottles of water, 2 bags of chips, and a fruit salad. the cost of the fruit salad was $5. this expression was used to represent the amount Jalen should pay. 4x +2x +5 based on the expression, the cost of each bottle of water is ______the cost of each bag of chips.

Answer: The general term is an = 4n

Step-by-step explanation:

It will take 6 days for the sister to earn as much as the brother.

Two or more expressions with an equal sign are defined as an equation.

Given that, the sister earns $30 per day and pays a $60 license fee and the brother earns$20 per day.

The income of the sister in x days is:

30x - 60

The income of the brother in x days is:

20x

The income of the sister and the brother is equal when:

30x - 60 = 20x

30x - 20x = 60

10x = 60

x = 6

Hence, It will take 6 days for the sister to earn as much as the brother.

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The total volume of both cubed boxes, combined, is of:

612 cubic inches.

The volume of a cube of side length s is given by the side length s cubed, as shown by the formula presented as follows:

V = s³.

In this problem, the boxes are given as follows:

The volume of the box with side length 8 inches is given as follows:

V = 8³ = 512 cubic inches.

(measure is in inches, hence the cubed measure is in cubic inches).

The total volume is given by the sum of the volumes of the two boxes, hence:

Total volume = 512 cubic inches + 100 cubic inches = 612 cubic inches.

The image showing the cubes is given at the end of the answer.

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Utilizing multiplication to find relationships and predicting that value of one  "Linear regression" is a quantity derived from the value of another.

The relationship in between magnitude of one parameter and that of a second is modeled by simple linear regression.

Thus, finding correlations via multiplication and assuming that the value of one "Linear regression" is a number obtained as from value of another

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The fraction of a mile that Evan has to hike and the fraction he has hiked, gives the completed statement as follows;

[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex]. So the difference is closest to [tex]\frac{1}{2}[/tex]

A fraction is a representation of the part of a whole of an item or collection of items. The distance Evan's hiking trail of [tex]\frac{5}{6}[/tex] miles is a fraction of a mile.

The length of the trail = [tex]\frac{5}{6}[/tex] mile

The distance Evan has hiked = [tex]\frac{2}{5}[/tex] mile

The distance Evan has left to hike is given by the difference between the length of the trail and the distance Evan has hiked as follows;

Distance remaining = [tex]\frac{5}{6} -\frac{2}{5} = \frac{13}{30}[/tex]

Representing the numbers in decimal form, we have;

[tex]\dfrac{5}{6} = 0.8\overline 3[/tex]

The value of [tex]\frac{5}{6}[/tex] is close to 1

[tex]\dfrac{2}{5} = 0.4[/tex]

The value of [tex]\frac{2}{5}[/tex] is closest to 0.5

[tex]\dfrac{13}{30} = 0.4\overline 3[/tex]

The difference between [tex]\frac{5}{6}[/tex] and [tex]\frac{2}{5}[/tex], which is [tex]\frac{13}{30}[/tex] is therefore closest to [tex]\frac{1}{2}[/tex]

The completed statement is therefore;

[tex]\frac{5}{6}[/tex] is closest to 1 and [tex]\frac{2}{5}[/tex] is closest to [tex]\frac{1}{2}[/tex] so the difference is closest to [tex]\frac{1}{2}[/tex]

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The required diameter of the circle is given as 15 in. Option B is correct.

Given that,
The circumference of a circle is given 47.1 in, we have to determine the diameter of the circle.

Perimeter is the measure of the figure on its circumference.

Here,
As per the given condition,
First, write the formula for the circumference of the circle,
Circumference of the circle = πD
now substitute the value in the above equation,
47.1 = 3.14 D
D = 47.1/3.14
D = 15 in

Thus,  the required diameter of the circle is given as 15 in. Option B is correct.

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Answer:

  8/15

Step-by-step explanation:

You want the fraction of a rain gauge filled after 15 more minutes when the rain rate is 2/5 of the gauge in 3/4 of an hour.

15 minutes is 1/4 hour, so 15 more minutes brings the total time to 1 hour. The fraction (x) of the gauge that is filled will be ...

  x/1 = (2/5)/(3/4)

  x = (2/5)(4/3) = 8/15

After a total of 1 hour, the rain gauge will be 8/15 of the way full.

Answer:

4.76

Step-by-step explanation:

had this on a test today!

The value of n is A. -1/2

The inequality that does not represent the position of 2 numbers on a number line is A. 4 1/2 > 25/4

A number line is a horizontal representation of number parts with equal intervals

The numbers in a number line is arranged to be increasing from left to right , hence drawing a number line will have the smaller values to the left of the bigger values

n is the negative side of the line and it is half (1/2) way between 0 and -1 hence should be -1/2

for the inequality, 4 1/2 > 25/4

4 1/2 = 4.5

25/4 = 6.25

4.5 should less than 6.25, and hence do not represent the correct position of two numbers

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An applicant needs 84.04 minutes to finish the test in order for 97 percent of them to pass.

An aptitude test is required of job candidates. Let's assume that the test's completion time has a mean of 69 minutes and a standard deviation of 8 minutes.

To get how much time an applicant should be given so that 97 percent of them will be able to complete the test.

Mean (μ) = 69

standard deviation (σ) =8

Hence, due to population standard deviation (σ) is known to use the normal distribution.

x_ Norm (μ,σ)

x_ Norm (69,8)

Therefore, x_ random variable that represents the time of applicant;

P(X<x) = 0.97

Corresponding to the left tail area of 0.97 lies in the z-table of z row of 1.8 and column 0.08.

P(z < 1.88) = 0.97

z < 1.88

(X - μ)/σ < 1.88

X < 1.88 (8) + 69

X < 84.04

The time taken by an applicant so that 97 percent of them will be able to complete the test is 84.04 minutes.

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x is equal to 125°  in the triangle

The figure given here is a triangle. And we know that the sum of the angles in a triangle is 180°. So we can apply this concept by writing the expression below:

x + 25° + 30° = 180°

x + 55° = 180°

x = 180° - 55°

x = 125°

Therefore, the value of x is 125°. So x is equal to 125°

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The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.

Cost for 250 copies is $40.5

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, a printing company charges $0.15 per copy in addition to a service fee of $3,

Therefore, according to question, the total cost y for printing x copies is,

y = 0.15x + 3

For x = 250

y = 0.15*250 + 3

y = $40.5

Hence, The equation representing the cost is y = 0.15x + 3 where x ix the number of copies and y is total cost.

Cost for 250 copies is $40.5

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Answer:

someone answer please ive been waiting for 2 hours :skull:

Step-by-step explanation:  please answer yall

The least possible value of n, where the product of 180 and the positive integer n is a perfect cubic number is 150.

so, by the question,

n×180 is a perfect cube

on the prime factorization of 180, we get

180 = 2²×3²×5

so the number should be

n = 2 × 3 × 5² =150

when we multiply both of them we get

180×n = (2²×3²×5)×(2 × 3 × 5²)

          = (2³×3³×5³)

          =(2×3×5)³

          =(30)³

          =27000

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The final price of the comic book after it is marked up is $5.79.

Since we have given that

Cost of a comic book including tax = $ 3.99

According to the question, it is given that it is marked up 45%,

=3.99 × (100+45)÷100

=3.99 × 145/100

=399 × 1.45

=5.79

Hence, the final price of the comic book after it is marked up is $5.79.

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a) since all the angles on the triangle are next to a given angle we just subtract the given angle from 180 to find the unknown angle

180-150=30=x

180-80=100=y

180-130=50=z

Sum of All triangles angles is always 180 degrees but we can still check

30+100+50

130+50=180

Now for the B triangle every angle is across from it like this means the triangle angle is equal to that

a= 40 degrees

b= 95 degrees

c= 45 degrees

And this also equal 180 degrees

Hopes this helps please mark brainliest

Answer:

1st Question Answer:

X=30

y=100

z=50

2nd Question Answer:

a=40

b=95

C=45

Step-by-step explanation:

1st Question : Since the angles of a straight line add up to 180 , we can subtract the degree of the angle given by 180 which gives us the answer . also we can make certain the angle is right because angles of a traingle add up to 180

2nd Question: Since the angles in the second question are parallel (which means they are the same) . we can easily find the answer . we can make sure the answer is right by using the same way ( angles of a triangle add up to 180)

Answer:

839.369863

(Might need to round it depending on what the question requests)

Step-by-step explanation:

Step 1: I divided $61,274 by 73.

Step 2: I multiplied 839.369863 by 73, and I got 61,274.

---------------------------------------------------------------

If it asks to explain say this:

"I divided the amount of money spent by the total amount of laptops bought, and i got 839.369863, To make sure it can be multiplied by 73 to get $61,274, I multiplied 839.369863 by 73 to get $61,274."

The correct statement regarding whether the graph is a one-to-one function is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

An one-to-one function is a function in which each output is related to only one input, that is, there are no horizontally aligned points.

These horizontally aligned points happen when an horizontal line is traced on the graph of the function, and crosses the function more than once.

From the graph of the function given by the image at the end of the answer, it can be seen that this line would cross the function twice for values of y between 0 and 2, hence the correct option is:

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

The problem asks for the correct statement regarding the function given on the image at the end of the answer.

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Equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

Given points:

(1, 1.5) and (2, 3.5)

slope m = 3.5 - 1.5 / 2 - 1

= 2/1

m = 2

substitute m and (1,1.5) in y = mx + c

1.5 = 2*1 + c

1.5 - 2 = c

c = -0.5

c = -1/2

y = mx + c

y = 2x - 1/2.

Therefore equation in slope-intercept form of the line that passes through the given points is y = 2x - 1/2.

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The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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Each motorcycle travel a distance of 240 miles for the faster motorcycle and 120 miles for the slower motorcycle.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = time it took the faster motorcycle to travel

If the faster motorcycle travels 1 hr longer than the slower motorcycle, then the slower motorcycle travels x - 1 hours.

The product of the rate of speed and time is equal to the distance.

Hence, the distance traveled by the faster motorcycle is 80x, while the distance traveled by the slower motorcycle is 60(x - 1).

If the faster motorcycle travels twice the distance of the slower motorcycle, then the distance traveled by the slower motorcycle is 80x/2.

60(x - 1) = 80x/2

Simplify and solve for x.

60(x - 1) = 80x/2

60x - 60 = 40x

20x = 60

x = 3

distance traveled by the faster motorcycle = 80x = 80(3) = 240 miles

distance traveled by the slower motorcycle = 80x/2 = (80)(3)/2 = 120 miles

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Answer: C Undefined

Step-by-step explanation:

A vertical line never moves left and right, so the run is 0. Because the quotient of a number divided by 0 is undefined, the slope of a vertical line is always undefined.

The slope is positive

D.Positive

The area of the triangle below is 224 inches squared.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The area of a triangle  an be described as follows:

area of a triangle = 1 / 2 bh

where

Therefore, the area of the triangle can be found as follows:

b = 4t = 4(4) = 16 inches

h = 7(t) = 7(4) = 28 inches

Therefore,

are of the triangle = 1 / 2 × 16 × 28

are of the triangle = 8 × 28

Therefore,

are of the triangle = 224 inches²

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Answer:

224 inches squared.

Step-by-step explanation:

have great day

The probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013

The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.

An element that is below the mean is indicated by a z-score that is less than 0.

An element bigger than the mean is indicated by a z-score greater than 0.

An element that is equal to the mean is represented by a z-score of 0.

P(Z > a) = 1-P(Z<a)

Let's say we want to know, for instance, the likelihood that a z-score will be higher than 3.00.

We learn from the table, that

P(Z < 3.00) = 0.9987.

Therefore,

P(Z > 3.00) = 1 - P(Z < 3.00)

= 1 - 0.9987

= 0.0013.

Therefore, the probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013

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