PLEASE HELP!
Suppose the mean height for women is 64 inches with a standard deviation of 2 inches. The World Health Organization wants to post a range of heights that include 95% of the world's population of women. What would the range be?

From [blank] to [blank] inches.

Answers

Answer 1

The range for 95% of the population would be from  60 inches to 68 inches.

What is the standard deviation?

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The mean height for women is 64 inches with a standard deviation of 2 inches.

As we know that the range for 95% of the population would be as:

μ - σ < x < μ + σ

(64 - 2 × 2) < x <  (64 + 2 × 2)

60 < x < 68

Thus, the range would be from  60 inches to 68 inches.

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Related Questions

WHO EVER TELLS ME THIS AND GETS IT RIGHT GET BRAINIEST

Answers

Answer:

0.91

Step-by-step explanation:

The overlapping grid space represents the product of 1.3 and 0.7

1.3 * 0.7

= 0.91

Answer:

D. 0.91

Step-by-step explanation:

WILL GIVE BRAINLIEST AND 50 POINTS
PLS DO MY HOMEWORK BY THURSDAY FEBRUARY 2ND

Answers

Answers:

Point A ---------> Answer 2

Point B ---------> Answer 3

Point C ---------> Answer 1

Point D ---------> Answer 4

Step-by-step explanation:

Point A is located on the coordinates (0,8). Option #2 is the only coordinate answer with 0 tomato plants and 8 broccoli plants.

Point B is located on the coordinates (3,2). Option #3 represents the answer of 3 tomato plants and 2 broccoli plants.

Point C is located on the coordinates (6,4). Option #1 and #4 shows the numbers 4 and 6 but the one that represents 6 tomato plants and 4 broccoli plants is Option #1.

Point D is located on the coordinates (4,6). The last option, Option #4 shows 4 tomato plants and 6 broccoli plants.

Hope this helps zenblossom000!

Belinda is thinking about buying a house for $286,000. The table below shows the projected value of two different houses for three years:

Number of years 1 2 3
House 1 (value in dollars) 294,580 303,417.40 312,519.92
House 2 (value in dollars) 295,000 304,000 313,000
Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

Part C: Belinda wants to purchase a house that would have the greatest value in 25 years. Will there be any significant difference in the value of either house after 25 years? Explain your answer, and show the value of each house after 25 years. (4 points)

Answers

A. The functions are classified as follows:

House 1: Exponential.House 2: Linear.

B. The functions are defined as follows:

House 1: f(x) = 294580(1.03)^x.House 2: f(x) = 295000 + 9000x.

C. The value of each house after 25 years is given as follows:

House 1: $617,785.House 2: $520,000.

There is a significant difference in the value of either house after 25 years, as exponential functions increase faster than linear functions, especially for larger input values.

How to classify the functions?

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

Hence the house 1 has the value function as an exponential function, as:

312,519.92/303,417.40 = 303,417.40/294580 = 1.03

The function is defined as follows:

f(x) = 294580(1.03)^x.

And the value of the home after 25 years is given as follows:

f(25) = 294580(1.03)^25 = $6176,785.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

Hence the value of the house 2 is linear, as the rate of change each year is of $9,000.

The function is defined as follows:

f(x) = 295000 + 9000x.

The value after 25 years is given as follows:

f(25) = 295000 + 9000(25) = $520,000.

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Why is it called tangent line?

Answers

The tangent line is a special line that shares a single point of intersection with a given curve.

It is defined as the line that passes through the point of intersection and has the same slope as the curve at the same point. The concept of the tangent line comes from geometry, where it is used to measure a given angle in the form of a slope. In calculus, the tangent line is used to measure the rate of change of a function (or its derivatives) by considering the slope at any single point on the graph.

It is useful for calculating derivatives and integrals. In addition to this, the tangent line can also be used to understand the behaviour of the function in certain areas of the graph, or to determine its general form.

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An arch at a new amusement park is constructed with two vertical walls and a parabolic arch top, where x represents the horizontal distance in feet and f(x) represents the height in feet. The y-axis represents the vertical left edge of the arch. Since the arch and its base are symmetrical, complete the equation for the line containing the vertical, right edge of the arch. X =.

Answers

The equation for the line containing the vertical right edge of the arch is f(x) = -x + H, where H is the height of the arch, calculated as H = f(-b/2a).

To calculate the equation, we need to find the height of the arch. To do this, we need to solve for the vertex of the parabola. The vertex of the parabola is the maximum point of the arch, and can be found by setting the derivative of the equation equal to zero (f'(x) = 0).

The equation for the parabola is given by f(x) = ax² + bx + c, where a, b, and c are constants. Taking the derivative of this equation, we get f'(x) = 2ax + b = 0. Solving for x, we get x = -b/2a.

Plugging this value of x into the original equation, we get the height of the arch: H = f(-b/2a).

Now that we have the height, we can calculate the equation for the line containing the vertical right edge of the arch: f(x) = -x + H.

The equation for the line containing the vertical right edge of the arch is f(x) = -x + H, where H is the height of the arch, calculated as H = f(-b/2a).

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The equation for the line containing the vertical right edge of the arch to be x = 60.

In this question we have been given that an arch is constructed with two vertical walls and parabolic arch top, where X represents the horizontal distance in feet and f(x) represents the height in feet.

Consider the following graph.

The y-axis represents the vertical left edge of the arch.

We need to complete the equation for the line containing the vertical, right edge of the arch.

From given graph we can observe that the left edge begins (0, 20).

This means, the right edge would also have y = 20.

The parabola passes y = 20 again at the point (60, 20).

i.e., the equation of the line representing the right edge: x = 60.

So, the equation for the required line : x = 60.

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Write a polynomial of least degree with roots -1 and -4.
Write your answer using the variable x and in standard form with a leading coefficient of 1.

Answers

The polynomial is x²  + 5x + 4 = 0 which has the least degree two with roots -1 and -4.

What is polynomial?

Polynomial is an algebraic expression that has more than two terms. In other words, it is a combination of different variables with mathematical operations.

Given that,

The roots of the polynomial are -1 and -4,

And leading coefficient of the polynomial is 1.

There are, two roots of the polynomial, so the maximum degree can be equal to 2 or grater than 2.

Let the standard equation of the polynomial is,

ax² + bx + 1 = 0        (1)

Substitute x = -1 in equation (1),

a(-1)²  + b(-1) + 1 = 0

a - b + 1 = 0     (2)

Again substitute x = -4 in the equation (1),

a(-4)² b(-4) + 1 = 0

16a - 4b + 1 = 0    (3)

By solving equation (2) and (3),

The value of a is 1/4 and the value of b is 5/4.

So, the required polynomial,

1/4x²  + 5/4 x + 1 = 0

x²  + 5x + 4 = 0

Hence, x²  + 5x + 4 = 0 is the required polynomial.

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What are the application of Theory X and Y?

Answers

The theories of motivation include theories X and Y. Managers use these theories, which are highly dissimilar from one another, to inspire their staff. While theory Y places an emphasis on rewards and recognition, theory X places more significance on supervision.

Let’s understand the application of Theory X and Theory Y:

While Theory X emphasizes the necessity of increased monitoring, outside rewards, and penalties, Theory Y emphasizes the significance of job pleasure as a motivator and encourages employees to approach jobs without direct supervision.

An organization that applies theory X will also have an authoritarian management style. There is hardly much management delegation of power. Companies that adhere to Theory Y, on the other hand, use a more decentralized approach, which means that employees share in authority. They are motivated as a result. Under theory Y, a few fundamental presumptions exist. One of them is that workers take ownership of their activities and work independently to further the objectives of the company. The employees are more engaged and attempt to resolve issues without the assistance of managers. This management approach is more prevalent than hypothesis X. Even a minor employee can take part in the decision-making process under this sort of management. Theory X relies on the notion of penalizing individuals in order to maintain employment, whereas theory Y emphasizes promotions, prizes, and recognition as key components. This maintains staff motivation to put in a lot of effort toward the organization's goals.

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find 10 f(x) dx 0 if f(x) = 6 for x < 6 x for x ≥ 6 .

Answers

The value of integral , I = ₀∫¹⁰ f(x)dx where f(x) is function is sixty-eight.

A piecewise function is defined as a function built from pieces of different functions over different intervals. For example, take piecewise function f(x) where f(x) = 2 when x ≤ 1, f(x) = x when x>1. We have a function, f(x) defined by

f(x) = 6 when x<6

f(x) = x when x ≥ 6

We have to determine the value of following integral, ₀∫¹⁰f(x)dx . As see, the function f(x) has two different in between the [0,10]. So, the required integral divided into two different parts, with different limits of it,

I = ₀∫¹⁰f(x)dx = ₀∫⁶ f(x)dx + ₆∫¹⁰ f(x)dx

=> I = ₀∫⁶ 6dx + ₆∫¹⁰ x dx

=> I = [ 6x]⁶₀+ [ x²/2]¹⁰₆

=> I = [ 36 - 0 ] + [ (10)²/2 - (6)²/2]

=> I = 36 + 64/2 = 36 + 32

=> I = 68

So, required integral value is 68.

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Yasmine is serving ice cream with the birthday cake at her party. She has purchased 19 1/2 pints of ice cream. She will serve 3/4 of a pint to each guest. Will there be any ice cream left?

Answers

The answer to if there will be any ice cream left, given the amount of ice cream that Yasmine purchased and the pints to each guest, is no.

How to find the leftover ice cream ?

First, convert the amount of ice cream that Yasmine bought, to a decimal so that it can be worked on with more ease.

19 1 / 2 pints of ice cream :

= 19 + 1 / 2

= 19 + 0. 5

= 19. 5 pints

If each guest got 3 / 4 pints, then there would be some ice cream left if there is a remainder :

= 19 . 5 ÷ 3 / 4

= 19. 5 x 4 / 3

= 26 guests

There is therefore no ice cream left.

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consider the sequence of numbers: $4$, $7$, $1$, $8$, $9$, $7$, $6$, $\ldots$. for $n>2$, the $n$th term of the sequence is the units digit of the sum of the two previous terms. let $s n$ denote the sum of the first $n$ terms of this sequence. what is $s {100}?$

Answers

The sum of the first 100 terms of the sequence is $620$.

[tex]$s_3 = 4 + 7 = 11$[/tex]

[tex]$s_4 = 11 + 1 = 12$[/tex]

[tex]$s_5 = 12 + 8 = 20$[/tex]

[tex]$s_6 = 20 + 9 = 29$[/tex]

[tex]$s_7 = 29 + 7 = 36$[/tex]

[tex]$s_8 = 36 + 6 = 42$[/tex]

[tex]$s_9 = 42 + 4 = 46$[/tex]

[tex]$s_{10} = 46 + 7 = 53$[/tex]

[tex]$s_{100} = 620$[/tex]

The given sequence is 4, 7, 1, 8, 9, 7, 6 and so on. The nth term of the sequence is the units digit of the sum of the two previous terms. To find the sum of the first 100 terms, we need to calculate the sum of the first two terms, 4 and 7. This is 11. The next term is the units digit of 11, 1. The sum of the first three terms is 12. The next term is the units digit of 12, which is 2. This process is repeated until we reach the 100th term. The sum of the first 100 terms is 620.

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Albert drew a rhombus in a coordinate plane, and three of its vertices are listed below.
(5, 2) (7, 0) (9, 2).
Which ordered pair could represent the fourth vertex of this rhombus?

Answers

When Albert drew a rhombus in a coordinate plane, and three of its vertices are (5, 2), (7, 0),  (9, 2). the fourth point is (3, 0)

How to find the third side of the rhombus

The length of  sides of a rhombus are equal, hence in an ordered pair the length of a side will be calculated using using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (5,, 2) and (9, 2) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(5 - 9)² + (2 - 2)²}

d =√{16 + 0}

d = √16

d = 4 units

subtracting 4 units in (7, 0)

(7 - 4, 0)

(3, 0)

the fourth side of the rhombus is (3, 0)

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PLS HELP ASAP! Use the distributive property to remove the parentheses. (w - 9) 11

Answers

Answer:  11w - 99

Step-by-step explanation:

(w-9) x 11 = (w)(11) - 9(11)

               = 11w - 99

If you place a 23-foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

23 feet tall
Ifyou place a 23-foot ladder against - the top- of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. AI Recommended Answer: The building is 23 feet tall.

Answer:

The height of the building is: 20.2 foot

Step-by-step explanation:

Using the Pythagorean theorem we can find another side of a right-angled triangle if two among three sides are given.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

where a, and b are sides and c is the hypotenuse.

In our case base (b) is given and ladder length (c) is given, so the height of building (a) is :

[tex]a = \sqrt{c^2 - b^2}[/tex]

[tex]a = \sqrt{23^2 - 11^2}[/tex]

[tex]a = \sqrt{529-121} \\a = \sqrt{408}\\a = 20.199\\\\[/tex]

So the rounded answer of height is: 20.2 foot


what is the answer to this question?

Answers

The answer is c = d/3

road to white house assignment math.helppp

Answers

No, the relation is not a function. Because at x = 0, the value of y will be 2 and 1 which is not possible.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

We know that if the number of dependent values is more than one for a given independent value. Then the relation is not a function.

But if the number of dependent values is more than one for a different given independent value. Then the relation is a function.

At x = 0, the value of y will be 2 and 1 which is not possible.

Thus, No, the relation is not a function.

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A swimmer set a world record in the women's 1500-meter freestyle, finishing the race in 15.42 minutes. if 1 meter is approximately 3.281 feet, which set of calculations could be used to convert her speed to miles per hour?

Answers

The set of calculations could be used to convert her speed to miles per hour is 3.628[tex]miles hr^{-1}[/tex].

There are times when the units used for the measurement do not match the measurement preference and convenience as well as the standards prescribed for certain processes and applications. Converting such units to an extent that it can be understood directly and applied properly is important. To better understand the statement, let us consider the example of a person who is only familiar with the metric system. The person cannot easily figure out the height of a tree measuring 25 feet. Converting 25 feet to metres will help the person better understand the height of the tree. Let us learn unit conversions with the help of a unit conversion table. In this article, we have provided different units of conversion used for the measurement of different parameters.

1m= 3.281 feet

1mile = 5280 feet

Speed = [tex]\frac{1500m}{15.42min}[/tex] = [tex]\frac{1500*3.281 feet}{15.42*\frac{1}{60hr} }[/tex]

Speed= [tex]\frac{1500*3.281}{15.42*\frac{1}{60hr} } *\frac{1miles}{5280}[/tex]

Speed= [tex]\frac{1500*3.281*60}{15.42*5280 } *miles hr^{-1}[/tex]

Speed= 3.628[tex]miles hr^{-1}[/tex]

The set of calculations could be used to convert her speed to miles per hour is 3.628[tex]miles hr^{-1}[/tex].

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If a swimmer finished 1500-meter freestyle in 15.42 minutes, her speed is 3.6 miles per hour.

To convert the swimmer's speed to miles per hour, we need to first convert the distance she swam (1500 meters) to miles, and then we need to convert the time it took her to swim that distance (15.42 minutes) to hours.

We can use the following set of calculations to do this:

Convert the distance from meters to miles:

1500 meters × (3.281 ft / 1m) × (1 mile/ 5280 ft) = 0.93 miles

Convert the time from minutes to hours:

15.42 minutes × (1 hour / 60 minutes) = 0.257 hours

Divide the distance by the time to find the speed in miles per hour:

0.93 miles / 0.257 hours = 3.6 miles per hour

This is one set of calculations that can be used to convert the swimmer's speed to miles per hour.

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If 3^4 is multiplied by 3^6, which expression is NOT equivalent?

Answers

Answer:

8 (sorry if i got it wrong)

Can you please help me with this

Answers

Answer:

The answer would be D since the y intercept is at -5 and the slope it's 3/2

Jessie is making a $5,000 investment that will be compounded annually at 10% for the next 10 years. what’s the future value of the original investment?

Answers

The total amount after 10 years would be $12968.71.

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

Here,

P =  $5,000

r = 10% = 0.1

n = 1 (since the interest is compounded annually)

t = 10 years

The total amount after 10 years would be

[tex]A = P (1+ \frac{r}{n} )^{nt} \\A = 5000 (1 + \frac{0.1}{1}) ^{1*10}\\A = 5000 (1.1)^{10}\\A = 12968.71[/tex]

Thus, the total amount after 10 years would be $12968.71.

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Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)

Answers

Answer:

[tex]-16[/tex]

Step-by-step explanation:

[tex]f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16[/tex]

2(8-8)-10v need help ASAP

Answers

Answer: -10v

Step-by-step explanation:

**in the attached file** :)

2. + -15 points SCalcET8 11.1.023.MI. Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.) n 5n2 lim an Need Help? Í Readit L at hit 1 lt lal toaT tor ll Master It Talk to a Tutor

Answers

Answer:-15+.2

Step-by-step explanation:

The sequence aₙ = {(4 + 3n²)/(n + 5n²)} converges to 3/5.

What is the limit of the function?

A value of the function, whenever the input values are substituted in the function then the function approaches some number.

And that number is a limit of the function.

Given:

A sequence,

aₙ = {(4 + 3n²)/(n + 5n²)}

To find the limit at n tends to infinity:

[tex]\lim_{n \to \infty} a_n = \frac {(4 + 3n^2)}{(n + 5n^2)}[/tex]

                 = n²(4/n² + 3)/n²(1/n + 5)

                 = (4/n² + 3)/(1/n + 5)

Now, if n tends to infinity,

then [tex]\lim_{n \to \infty} a_n[/tex] = 3/5

Therefore, 3/5 is the limit of the sequence.

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How do you solve the challenge 8s?

Answers

The challenge 8s can be solved by breaking down the problem into smaller parts and then finding a solution that addresses each part. This can be done by analyzing the situation, breaking it into components, and then finding an appropriate solutions for each component.

The challenge 8s can be solved by breaking down the problem into smaller parts and then finding a solution that addresses each part. To do this, you need to analyze the situation to identify the components of the challenge. Once you have identified the components, you can break them down into smaller, more manageable parts. For each part, you need to determine the best possible solution that will address the issue. You can consider different strategies, such as brainstorming, trial and error, and research. Once you have identified a suitable solution for each component, you can combine them together to form a complete solution for the challenge 8s. If necessary, you can adjust the solutions to ensure that they fit together and address all the components of the challenge.

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A student pays for 8.9 pounds of apples with a $10 bills. How much change does the student receive?

Answers

Answer:A student pays for 8.9 pounds of apples with a $10 bills. How much change does the student receive?

Step-by-step explanation:

Answer:the answer is 2 dollar

Step-by-step explanation:

The graph below shows the amount of money that Scott has to pay for extra labor for someone to help him work on his property. He hired his nephew to work after school and on weekends.

Scott’s Funds for Extra Labor
Money Available (dollars)

Time Worked (hours)

Which statement correctly describes the graph?
Responses
A Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.Scott pays his nephew $15 per hour, and he initially had $900 for extra labor.
B Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.Scott pays his nephew $10 per half-hour, and he initially had $900 for extra labor.
C Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.
D Scott pays his nephew $20 per hour, and he initially had $900 for extra labor.

Answers

The statement that correctly describes the graph is Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. The correct option is c.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,

m = (900 - 800) / (0 - 10)

m = - 100 / 10

m = - 10 dollars per hour

Then the equation is given as,

y = - 10x + 900

Therefore, the correct option is C. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.

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I need help please I need to do this tonight

Answers

Answer: -4

Step-by-step explanation:

-2+3-5=-4

I HOPE THIS HELPS!!!!

2. The graph shows the cost of buying scoops of gelato.
a. What does the point (4, 6) represent?
4 Scoops for $6
b. What is the unit rate?
Sper scop
c. What is the cost of 12 scoops?
d. How would the graph change if the unit rate was
$1.75 per scoop?

Answers

The points of answers are given as following.

What is Unit Rate?

Unit rate is the amount of one quantity for a unit amount of the other quantity.

(a) The point (4, 6) represents that cost of buying 4 scoops of gelato is $6.

(b) Cost of buying 4 scoops of gelato = $6

Cost of buying 1 scoop of gelato = 6 / 4 = $1.5

So the unit rate is $1.5 per scoop.

(c) Cost of 12 scoops = 12 × 1.5 = $18

(d) We have two points so far (1, 1.5) and (4, 6)

Slope = (6 - 1.5) / (4 - 1) = 1.5

Slope is the inclination of the line of the graph.

If the unit rate = $1.75 per scoop, then the slope of the line changes to 1.75 instead of 1.5.

Hence it is solved.

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HELP
i cant get this one wrong

Answers

Answer: You are already correct :)

Answer:

Option B:   [tex]x+4y[/tex]

Step-by-step explanation:

Given [tex]7x+5y-6x-y[/tex]

Lets simplify.

Subtract [tex]6x[/tex] from [tex]7x[/tex].

[tex]x+5y-y[/tex]

Subtract [tex]y[/tex] from [tex]5y[/tex].

[tex]x+4y[/tex]

I need help It’s a little stressful

Answers

Yes, m∠ABC and m∠XYZ are congruent

No, lines FG and DE are not congruent

Yes, OR and OS are congruent

Yes, 2∠ and ∠4 are congruent.

What are congruent angles and line segments

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.

m∠XYZ = 180° - 140° {supplementary angles}

m∠XYZ = 40°

so;

m∠ABC and m∠XYZ are congruent

line FG = and line DE =

so;

FG and DE are not congruent

OR = 2in and OS = 2in

so;

OR and OS are congruent

∠2 and ∠4 are vertical angles and are equal so;

2∠ and ∠4 are congruent

Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.

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9(3s) + 2 (-t); for s = 1 over 2 t = -3

Answers

The expression is 9 (3s) + 2 (-t) is solved to give a value of -82

How to solve the given expression

The given expression 9(3s) + 2 (-t) in the problem is solved by substitution of the given values.

substitution involves replacing a quantity with another equivalent quantity aimed at maintaining a true equation.

The given values are :

9 * (3s) + 2 (-t)

s = 1/2

t = -3

substituting the given values we have:

= 9(3s) + 2 (-t)

= (9 * (3 * -3)) + 2 * (- 1/2)

= 9 * (-9) + (-1)

= - 81 - 1

= -82

The solution of the equation is - 82

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