five times a number is 120

Answers

Answer 1
5x=120
120/5=x
X=24
Hope this helps!

Related Questions

Kenji is deep-sea diving with two friends. Ezra is exploring a coral reef 12 meters in front of Kenji, and Tori is floating on the surface directly above Kenji. If Tori and Ezra are 20 meters apart, how far apart are Kenji and Tori?

Answers

Answer:

Step-by-step explanation:

We know that the hypotenuse is 20m and one leg is 12m.

Pythagorean Theorem= a^2 + b^2 = c^2

12^2 + b^2 = 20^20

144 + b^2 = 400

b^2 = 256

Square root of 256 = 16

Kenji and Tori are 16 meters away from each other.

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet.

Answers

The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.

Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.

In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.

In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.

Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.

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Complete question:

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.

The pivot point (P) of the main supporting arm (AP) of a construction crane is 46 metres above the top of a 96 metre tall office building. When the supporting arm is at an angle of 55° to the horizontal, the length of cable dropping from the point A to the ground is 215 metres. Find the length of the main supporting arm (AP), to the nearest centimetre.

Answers

Answer: Let's call the length of the main supporting arm AP = x.

We can use the Pythagorean theorem to find the length of the cable dropping from point A to the ground:

c^2 = x^2 + (46 - 96 + 215)^2

c^2 = x^2 + (175 - 50)^2

c^2 = x^2 + 125^2

c^2 = x^2 + 15625

Since the angle between the main supporting arm and the horizontal is 55°, we can use the trigonometric relationship between the length of the opposite side (the cable) and the length of the adjacent side (the main supporting arm) to find x:

tan 55° = c / x

x / c = tan 55°

x / 215 = tan 55°

x = 215 * tan 55°

The value of x can be calculated using a scientific calculator or by using a table of tangent values. To the nearest centimetre, x = 204 cm.

Step-by-step explanation:

When did Chicago first exceed phoenix in the percentage of calls answers within 10 seconds?

Answers

The correct option regarding when Chicago first exceeded Phoenix in the percentage of calls answers within 10 seconds is given as follows:

C. Between September and October.

How to interpret the situation?

The output of the graph represents the percentage of calls answered within 10 seconds.

Chicago and Phoenix are represented as follows:

Chicago: Green line.Phoenix: Red line.

At the beginning of September, the red line was above the green line, but at the beginning of October, the green line was above the red line, hence the correct option is given by option C.

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What will Amanda pay if she rents a truck and drives 45 miles and splits the total cost with two friends? Explain.​

Answers

Using division operation, if Amanda and her two friends split the total cost of renting a truck equally, Amanda will pay $47.50.

What is the division operation?

The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves the dividend (the total cost) divided by the divisor (3 friends), which results in a quotient.

Fixed cost for renting a truck = $120

The variable cost per mile = $0.50

The total miles Amanda and her two friends drove = 45 miles

The variable cost for 45 miles = $22.50 ($0.50 x 45)

The total costs = Fixed + Variable Costs

= $142.50

Cost paid by Amanda = $47.50 ($142.50/3)

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Question Completion:

The fixed cost for renting a truck is $120 with a variable cost per mile of $0.50.

From a position 3.5 m above ground level in a building, an an observer measures the angle of elevation of the top of a flagpole to be 48°, and the angle of depression of the foot of the flagpole to be 35°

. a. How far away from the flagpole is the building?
b. How tall is the flagpole?​

Answers

a. The flagpole is 5 feet away from the building.

b. The height of the flagpole is 8 feet.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The distance from the building to the flagpole is,

tan35° = 3.5/x.

x = 3.5/0.7.

x = 5 feet.

Now, tan48° = x/5.

x = 5/1.11.

x = 4.5 feet.

Therefore, The height of the flagpole is 4.5 + 3.5 = 8 feet.

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an inverse relationship is also called a: select one: a. direct relationship. b. negative relationship. c. proportional relationship. d. positive relationship.

Answers

An inverse relationship is also known as a negative relationship, because the correlation coefficient, is negative in an inverse relationship. Correct option is B.

An inverse relationship is a type of relationship between two variables in which they move in opposite directions. As one variable increases, the other variable decreases. In other words, when one variable changes, the other variable changes in the opposite direction.

For example, in the context of physics, the distance between two objects and the gravitational force between them have an inverse relationship. As the distance between the objects increases, the gravitational force between them decreases, and vice versa.

An inverse relationship is also known as a negative relationship. This is because the correlation coefficient, which measures the strength and direction of the relationship between two variables, is negative in an inverse relationship.

A correlation coefficient of -1 indicates a perfect inverse relationship, while a correlation coefficient of 0 indicates no relationship, and a correlation coefficient of 1 indicates a perfect positive relationship.

In contrast, a direct relationship, also known as a positive relationship, is a type of relationship between two variables in which they move in the same direction. As one variable increases, the other variable also increases, and vice versa.

In summary, an inverse relationship is a negative relationship in which two variables move in opposite directions, while a direct relationship is a positive relationship in which two variables move in the same direction.

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a factor of 24 is chosen at random what is the probalility as a decimal that its a 2 digit numbers

Answers

Answer:

1/4 as fraction

0.25 as decimal

= 0.25

Step-by-step explanation:

Factors of 24 starting at 1 are:
1 x 24 = 24

2 x 12 = 24

3 x  8  = 24

4 x 6 =  24

Then the pattern repeats in decreasing orders of products of numbers . 6 x 4, 8,x 3 etc which are duplicates of the ones shown above

Factors of 24 are:

1, 2, 3, 4, 6, 8, 12, 24

There are 8 factors

Out of the 8 factors, only two  - 12 and 24 are two digit numbers

P(factor is a 2 digit number = # two-digit numbers/Total # factors

= 2/8

= 1/4

= 0.25

Answer:

1/4 as a fraction

0.25 as decimal

0.25

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observations are drawn from a bell-shaped distribution with a mean of 110 and a standard deviation of 4. a. approximately what percentage of the observations fall between 98 and 122?

Answers

The empirical rule tells us that for a normal distribution with mean μ and standard deviation σ, approximately 99.7% of the observations fall between 98 and 122.

Since the distribution is bell-shaped, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentage of observations that fall within certain ranges.

According to the empirical rule, for a normal distribution with mean μ and standard deviation σ:

About 68% of the observations fall within one standard deviation of the mean, i.e., between μ - σ and μ + σ.

About 95% of the observations fall within two standard deviations of the mean, i.e., between μ - 2σ and μ + 2σ.

About 99.7% of the observations fall within three standard deviations of the mean, i.e., between μ - 3σ and μ + 3σ.

In this case, the mean is 110 and the standard deviation is 4. Therefore:

About 68% of the observations fall between 110 - 4 = 106 and 110 + 4 = 114.

About 95% of the observations fall between 110 - 2(4) = 102 and 110 + 2(4) = 118.

About 99.7% of the observations fall between 110 - 3(4) = 98 and 110 + 3(4) = 122.

So approximately 99.7% of the observations fall between 98 and 122.

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Mia invests $7500 at a rate of 3.5% per year simple interest
Calculate the total amount she has after 5 years.

Answers

Answer with Explanation:

The formula for simple interest is:

I = Prt

Where:
I = interest
P = principal (the original amount invested)
r = interest rate (as a decimal)
t = time (in years)

So in this case:
I = $7500 * 0.035 * 5 = $1312.50

The total amount Mia will have after 5 years is:
P + I = $7500 + $1312.50 = $8812.50

So Mia will have $8812.50 after 5 years.

Answer:

$8812.50

Step-by-step explanation:

To calculate the simple interest earned on Mia's investment, we can use the formula:

I = Prt

where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time in years.

Plugging in the values, we have:

I = $7500 * 0.035 * 5

I = $1312.50

The total amount Mia has after 5 years is the sum of her original investment and the interest earned:

$7500 + $1312.50 = $8812.50

slips of paper numbered 1 through 14 are placed in a hat. in how many ways can two numbers be drawn so that the sum of the numbers is 12? assume the random selection is without replacement.

Answers

We are assuming that the random selection is without replacement, which means that once a slip is drawn, it is not put back into the hat.

There are 5 possible pairs of numbers that add up to 12 when drawing two slips of paper numbered 1 through 14 without replacement. These pairs are:

1 and 11

2 and 10

3 and 9

4 and 8

5 and 7

Next, we need to find the number of ways to draw each pair. Since the order in which the slips are drawn does not matter, each pair can be drawn in 2 different ways. So, for each of the 5 pairs, there are 2 ways to draw the pair.

Each pair of numbers can be drawn in 2 different order (the order in which the slips are drawn does not matter in this case), so the total number of ways to draw two slips so that the sum of the numbers is 12 is [tex]5 * 2 = 10[/tex].

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Dani leaves her house at 08 00 she drives 63 miles to work she drives at an average speed of 27 miles per hour at what time does dani arrive at work

Answers

10:40 am

63 mile distance and 27 mph. starting from 8 am

63/27 => 2 (2/3) hours. 2/3 of an hour is also, 40 minutes.

so 8 am plus 2 hours and 40 minutes means 10:40 am

Somewhat urgent.
-12,1 and x,7 when m = 1/8

Answers

The value of x in the coordinates (-12,1) and (x,7), having a slope of 1/8 is 36.

What is the value of x in the coordinate?

Slope is simply expressed as change in y over the change in x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given that;

Point 1 (-12,1)

x₁ = -12y₁ = 1

Point 2 (x,7)

x₂ = xy₂ = 7

Slope m = 1/8

Plug the values into the slope formula and solve for x.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

1/8 = ( 7 - 1 )/( x - (-12) )

1/8 = ( 6 )/( x + 12)

Cross multiply

( x + 12) = 6 × 8

x + 12 = 48

x + 12 - 12 = 48 - 12

x = 36

Therefore, the value of x is 36.

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two cards are selected from a standard deck of 52 playing cards. the first card is not replaced before the second card is selected. find the probability of selecting a black card and then selecting a red card.

Answers

The probability of selecting a black card first and a red card second from a standard deck of 52 playing cards without replacement is 13/51.

The probability of selecting a black card on the first draw is 26/52, or 1/2, since there are 26 black cards in a standard deck of 52 playing cards.

After the first card is drawn, there are 51 cards remaining, of which 26 are red. Therefore, the probability of selecting a red card on the second draw, given that a black card was selected on the first draw, is 26/51.

To find the probability of both events happening (selecting a black card followed by a red card), we multiply the probabilities of each event:

P(black card first, red card second) = P(black card first) × P(red card second | black card first)

P(black card first, red card second) = (1/2) × (26/51)

P(black card first, red card second) = 13/51

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how many pattern block trapezoids would create 5 hexagons

Answers

The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."

Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.

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the angle of depression from the top of a cliff to a nearby town is 23 degrees. if the top of the cliff is 360 feet above the town, how far is the town from the base of the cliff? do not round until you reach your answer, and then round your answer to the nearest tenth of a foot.

Answers

The length of town from the base of the cliff is 848.25 feet

Concept of height and distance

You can use trigonometry formulas to find height and distance from anything. If you know the distance from the Qutub Minar to your current location and the angle at which you can see the top of the Minar, you can find the altitude of the Qutub Minar. Use trigonometry to find the elevation. This is because the ground, minaret elevation, and contour lines all combine to form a 90 degree right triangle between the minaret and the ground.

The distance is usually the "base" of the right triangle formed by the minar's elevation and line of sight. The length of the horizontal plane also forms the base of a triangle parallel to the ground at a given height, so we know the distance. The line of sight forms the "hypotenuse" of a right triangle. Lines perpendicular to the ground form the "height" of the triangle.

To calculate elevation or depression you can use the following formulas:

sinθ = hypotenuse /height.

cosθ = hypotenuse /base,

tanθ = base /height

where θ is the elevation or depression angle.

and in this question the angle of depression is 23 degree and height is 360 feet and we have to calculate the base

tan 23 degree = 360/base

base  = 360/tan 23

=360/0.4244

= 848.25 feet.

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NEED HELP
Solve for x.
X=

Answers

The measure of the angle x would be 25.2°.

What is a circle theorem?

The circle theorem is a set of mathematical rules and relationships that apply to circles and their components, such as chords, tangents, and angles. These theorems describe how the different parts of a circle relate to each other and are used to solve geometric problems involving circles. Some common circle theorems include the inscribed angle theorem, the chord-chord theorem, and the tangent-secant theorem.

By using the circle theorem, we can write

5x-7 = 119

5x = 119 + 7

5x = 126

x = 126/5

x = 25.2°

Hence, the measure of the angle x would be 25.2°.

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At MeDonald's four cheeseburgers and three medium fries have a total of 2290 calories.Six cheeseburgers and two medium fries have 2560 calories. How many calories does each
Item contain?

Answers

Answer:

350 calories

Step-by-step explanation:

see the attachment.

Calories in one cheeseburgers = 135

And, Calories in one medium fries = 583

We have to given that,

At McDonald's four cheeseburgers and three medium fries have a total of 2290 calories.

And, Six cheeseburgers and two medium fries have 2560 calories.

Let us assume that,

Calories in one cheeseburgers = x

And, Calories in one medium fries = y

Hence, We get;

4x + 3y = 2290  . (i)

6x + 3y = 2560 .. (ii)

From (i);

3y = 2290 - 4x

Substitute above value in (ii);

6x + (2290 - 4x) = 2560

6x - 4x + 2290 = 2560

2x = 2560 - 2290

2x = 270

x = 270 / 2

x = 135

From (ii);

6 x 135 + 3y = 2560

810 + 3y = 2560

3y = 2560 - 810

3y = 1750

y = 1750/3

y = 583

Therefore, Calories in one cheeseburgers = 135

And, Calories in one medium fries = 583

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n a certain culture of bacteria, the number of bacteria is increased sixfold in 10 hours. how long did it take for the population to double? [use the

Answers

The time taken by population of bacteria to be doubled whose normal growth is six fold in 10 hours is equal to 3.87 hours.

Let us consider 'n' is the time taken by the bacteria populations.

And P(n) represents the population of the bacteria in time 'n'

Using exponential growth function we know,

P(n) = K e^(a× n)

Where K and 'a' are the constants.

From the given condition we have :

P(10 ) = 6 P(0)

⇒ K e^ (10a) = 6k e^(0 × a )

⇒ e^(10a) = 6

⇒ 10a = log 6

⇒ a = ( log 6 ) / 10

Now required time when population is double :

P(n ) = 2P(0)

⇒  K e^ (n × a) = 2k e^(0 × a )

⇒ e^ [ n ×( log 6 ) / 10 ] = 2

⇒ n ×( log 6 ) / 10 = log 2

⇒ n = ( 10 × log 2 ) / log 6

⇒ n =  ( 10 × 0.3010 ) / 0.7782

⇒ n = 3.8679 hours

⇒ n = 3.87 hours

Therefore, the population of the bacteria will take 3.87 hours to get double.

The above question is incomplete , the complete question is:

A bacteria population increases sixfold in 10 hours. Assuming normal growth, how long did it take for their population to double?

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a radioactive substance decays exponentially. a scientist begins with 100 milligrams of a radioactive substance. after 29 hours, 50 mg of the substance remains. how many milligrams will remain after 38 hours?

Answers

After 38 hours, there will be 43.1 mg of the radioactive substance remaining.This means that the amount of a radioactive substance decreases exponentially over time

Radioactive decay follows an exponential decay curve. This means that the amount of a radioactive substance decreases exponentially over time. The equation for this is: [tex]A(t) = A0*e^(-λ*t\\[/tex])Where A(t) is the amount of substance at time t, A0 is the initial amount of substance, and λ is the decay constant. In this problem, A0 = 100 mg, t = 29 hours, and A(t) = 50 mg. We can use this to solve for λ:50 mg = 100 mg * [tex]e^(-λ*29)λ =[/tex] -0.027Now that we have the decay constant, we can calculate the amount of substance remaining after 38 hours:A(38) = 100 mg * [tex]e^(-0.027*38[/tex]).A(38) = 43.1 mg.Therefore, after 38 hours, there will be 43.1 mg of the radioactive substance remaining.

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The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?

–8
–1
1
8The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?

–8
–1
1
8

Answers

The value of function f(5) is 8.

What do you mean by function?

A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

The general representation of a function is y = f(x).

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective Function or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials

Inverse function: The function which can invert another function.

Given:

x with entries -4, -1, 3 and 5.

f(-4) = 2

f(-1) = 5

f(3) = 4

f(5) = 8

The value of f(5) is 8.

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Answer: f(5) is -8

Step-by-step explanation:

took the quiz

39. Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a cable. If the length of the cables are 63 meters and 68 meters and the tugboats are 35 meters apart, find the angle formed between the cables.

Answers

The angle formed between the cables is 48.7°.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

Given: Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a cable. If the length of the cables is 63 meters and 68 meters and the tugboats are 35 meters apart.

a = 68 m

b = 63 m

c = Distance between the tugboats = 35 m

m∠C = Angle between the cables

c² = a² + b² - 2abcosC

m∠C = cos⁻¹(c² - a² - b²)/(-2ab)

m∠C = cos⁻¹(35² - 68² - 63²)/(-2(68)(63))

m∠C = 48.7°

Hence, the angle formed between the cables is 48.7°.

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Is either x=8 or x=10 solution 4x < 34

Answers

Answer:

x=8 is true for the this condition

Step-by-step explanation:

4x<34

if x=8

4*8<34

32<34

which is true

if x=10

40 is not greater than 34, so it not satisfied the condition

The wholesale price for a desk is $162.A certain furniture store marks up the wholesale price by 30%. What is the price of the desk in the furniture store?

Answers

Answer:

The price of the desk in the furniture store is $202.8

if a multiple regression dataset has 3 predictors, what is the minimum number of observations needed to meet doane's rule?

Answers

Doane's rule is used for choosing the number of histogram bins, not for determining the minimum sample size needed for a multiple regression analysis.

However, a commonly cited rule of thumb is that the sample size should be at least 10 times the number of predictors, so for a multiple regression dataset with 3 predictors, a minimum of 30 observations may be recommended.

Doane's rule is a guideline for choosing the number of histogram bins based on the sample size and skewness of the data. It suggests that the number of bins should be approximately equal to 1 + log2(N) + log2(1 + |g1|/SE(g1)), where N is the sample size and g1 is the sample skewness.

It is important to note that Doane's rule is used for determining the number of bins for a histogram, not for determining the minimum sample size needed for a multiple regression analysis.

That being said, in general, the minimum sample size needed for a multiple regression analysis depends on a variety of factors, including the number of predictors, the strength of the relationships between the predictors and the outcome variable, the desired statistical power, and the level of significance. There is no set minimum sample size that applies to all situations. However, a commonly cited rule of thumb is that the sample size should be at least 10 times the number of predictors, so for a multiple regression dataset with 3 predictors, a minimum of 30 observations may be recommended.

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Which linear inequality is graphed with y > -X - 2 to
create the given solution set?
© y>x+1
© y O y>x-1
O y

Answers

The linear inequality that is graphed with y > –x – 2 to create the given solution set is D. y < x + 1

How to explain the inequality

One of the line is having the y intercept -2 and slope -1 having the equation y=-x-2. The shaded region is having the inequality y>-x-2.

The other line is having the y intercept 1 and slope of 1. Hence equation of line is y=x+1.

The shaded part is above the line .The inequality region is represented by the inequality y <x+1.

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Which linear inequality is graphed with y > –x – 2 to create the given solution set?

A=y > x + 1

B=y < x – 1

C=y > x – 1

D=y < x + 1

Sketch and graph please

Answers

We have drawn the graph for the given inequality.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variable.

For the given inequality y ≤ 3/5x-5

we can draw the graph as shown below:

Hence, we have drawn the graph for the given inequality.

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What is the area of this compound figure?

Answers

Answer:

199 cm²

Step-by-step explanation:

in the picture

Please help as soon as possible

Answers

The number of hours taken to have the same number of pages completed is 5 hours.

The solution to the system of equations is (5, 50).

How to write the system of equations for this system?

In order to write a system of linear equations that could be used to model the situation and determine the number of hours it would take to complete the workbook, we would assign variables to the number of hours and the number of pages respectively as follows:

Let the variable x represent the number of hours.Let the variable y represent the number of pages.

Next, we would translate the word problem into system of linear equations as follows:

Isaiah: y = x + 45

Brenna: y = 9x + 5

When the same number of pages are completed, the number of hours taken can be calculated as follows;

x + 45 = 9x + 5

9x - x = 45 - 5

8x = 40

x = 5 hours.

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Determine whether each sequence is geometric. If so, find the common ratio

Answers

The sequence 3, 18, 108, 648, ..... is a geometric sequence.

The sequence 3.9, 19.5, 97.5, -487.5, ..... is a geometric sequence.

The sequence 1.1, -2.2, 4.4, -8.8, ..... is a geometric sequence.

The sequence 4, 20, 4, 20, ..... is not a geometric sequence.

How to calculate the nth term of a geometric sequence?

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁ = a₃/a₂

Common ratio, r = 18/3 = 108/18

Common ratio, r = 6 = 6 (geometric sequence).

Common ratio, r = -19.5/3.9 = 97.5/-19.5

Common ratio, r = -5 = -5 (geometric sequence).

Common ratio, r = -2.2/1.1 = 4.4/-2.2

Common ratio, r = -2 = -2 (geometric sequence).

Common ratio, r = 20/4 = 4/20

Common ratio, r = 5 = 0.2 (not a geometric sequence).

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