The length of a side of a triangle is in the extended ratio of 3:5:7. The perimeter of the triangle is 120cm. What are the lengths of the sides?

Answers

Answer 1

Answer:

56cm

Step-by-step explanation:

Ratio = 3 : 5 : 7

Perimeter = 120 cm

Process

# of parts = 3 + 5 +7 = 15

Divide 120 by 15 = 120 / 15

Number of parts  = 8

First side = 3 x 8 = 24 cm

Second side = 5 x 8 = 40 cm

Third side = 7 x 8 = 56 cm

Perimeter = 24 + 40 + 56 = 120 cm


Related Questions

Last year at a certain high school, there were 140 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 6%. By what percentage did the total number of students on the honor roll decrease?

Answers

16.25 percent the total number of students on the honor roll decreased.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, last year at a certain high school, there were 140 boys on the honor roll and 100 girls on the honor roll.

This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 6%.

So, the number of boys = 140 - 25% of 140

= 140 - 0.25×140

= 140 - 35

= 105

The number of girls = 100 - 6% of 100

= 96

Total number of students last year = 140+100

= 240

Total number of students this year = 105+96

= 201

Difference = 240-201

= 39

Now, percentage decrease = 39/240 ×100

= 0.1625×100

= 16.25%

Hence, 16.25 percent the total number of students on the honor roll decreased.

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graph the linear inequality
y<-2x+3

Answers

Answer:

graph the line -2x+3 as a dotted line and shade in below that line.

Step-by-step explanation:

Linear Inequalities:

Linear inequalities are an inequality... which contain linear equations. To graph these linear inequalities it helps to first just graph the linear equation and then based on the inequality whether it's less than, less than or equal to, greater than, or greater than or equal to we would draw above or below this line and with a solid or dotted line.

So we're given the equation: [tex]y < -2x+3[/tex] it helps to first just graph the -2x + 3, which we can do by starting at the y-intercept of 3 and then going down 2 and going right 1 as defined by the slope -2. Likewise we can go up 2 and go left 1 from the y-intercept to define points to the left of the y-axis.

Now from here we look at the inequality: [tex]y < -2x+3[/tex], it's telling us y values less than -2x + 3, so we want to be below the line we just graphed, so shade below the line. One thing to note is it's a less than and not a less than or equal to so the line it self is not included, meaning we draw a dotted line.

I included a desmos graph which further illustrates how this would look.

find sin0, aw here 0 is the angle shown​

Answers

From the given triangle, the value of sin Θ is 3/√34.

To find the value of sin Θ, we have to know the definition of sin Θ first. Sin Θ can be calculated using formula of:

sin Θ = the front side : the hypotenuse

Based on the given triangle, we need to find the lenght of hypotenuse first to be able to find the value of sin Θ. The hypotenuse of the given triangle is:

h = √(5² + 3²)

h = √(25 + 9)

h = √34

The exact value of sin Θ is:

sin Θ = 3 / √34

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please help me!!!!!!!

Answers

By the synthetic division method, the polynomial x³ - 2x - 8 dividing by x - 2 will get a remainder -4.

What is synthetic division?Synthetic division is defined as "a simplified method of dividing a polynomial with another polynomial equation of degree 1 and is generally used to find the zeroes of polynomials." This division method is performed manually and requires less calculation effort than long division.

Given the polynomial,

x³ - 2x - 8

dividing a polynomial by x - 2

Solution will be :

Coefficients are required for Synthetic Division.

As a result, the coefficients are :

1, 0, -2, -8

as well as we have x-2

2   1   0  -2   8

          2   4    4              

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

      1    2   2   -4

By synthetic division, the remainder is now -4.

Substituting  the polynomial in x = 2 the Remainder theorem yields the required remainder.

  = 2³ -2 x 2 - 8

  = 8 -4 -8

  = -4

Which is equivalent to synthetic division. Therefore the correct division is option B.

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what’s is the recursive equation?? The first 4 terms in the sequence are 3,6,12,24

Answers

Answer:

You're right

Step-by-step explanation:

I don't think it can be anything else

Qasim and his children went into a bakery and he bought $7.50 worth of cookies and
brownies. Each cookie costs $0.50 and each brownie costs $1.25. He bought 8 more
cookies than brownies. Graphically solve a system of equations in order to determine
the number of cookies, x, and the number of brownies, y, that Qasim bought.

Answers

Answer:

5 cookies and 4 brownies

Step-by-step explanation:

First, let's assign variable for cookies and brownies:

x= cookies

y= brownies

Now, let's create an equation with the information given to us:

[Note: "#of brownies + 8" equals the number of cookies because, in the question, we are told He bought 8 more cookies than brownies ]

cost of a brownie * #of brownies +  cost of a cookie * (#of brownies + 8 ) = $7.50

1.25y + 0.5x = 7.5

Since we want to solve the problem graphically, let's solve our equation for y, so it can be graphed:

1.25y + 0.5x = 7.5   [Subtract 0.5x from both sides]

1.25y = -0.5x + 7.5   [Divide both sides by 1.25 so we just get y]

y = -0.4x + 6

This equation will be used to determine what we can buy at the bakery with $7.50.

Now, we will graph the equation (see attached image). What we will see is that as x increases, y decreases. This makes sence, since the number of brownies (y) you can buy with your budget decreases as the number of cookies (x) you buy increases. Lastly, since we can't buy a fraction of a cookie, we want to find a coordinate on the line that has both a natural [see definition if confused] x and y value. To do this, we will look at the graph and see if a x value of 1 gives us a natural y value. If not, we go on to 2 and see if it gives us a natural y value. This continues until you find both a natural x and y value. This will happen at x=5 and y=4. This answer tells us that, with $7.50, Qasim and his children bought 5 cookies and 4 brownies.

*Natural number: Positive, whole numbers

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PLEASE HELPP MEEE

The question is in the picture provided

Answers

The equations of the tangent to the curve when x = 1 are;

[tex]y = 5\frac{1}{3}\cdot x - 1\frac{1}{3}[/tex]

[tex]y = 1\frac{1}{3} - \frac{1}{3} \cdot x[/tex]

What is the tangent to a curve?

The tangent to a curve at a point, is the line that best fits the rate of change of the curve at the specified point.

The equation to be differentiated in the question is; y² - 5·x·y + 4·x = 0

The derivative of the above equation using the differentiation of a product is as follows;

2·y·y' - (5·y + 5·x·y') + 4 = 0

2·y·y' - 5·y - 5·x·y' + 4 = 0

2·y·y' - 5·x·y' - 5·y + 4 = 0

y'·(2·y - 5·x) - 5·y + 4 = 0

The slope of the curve, therefore is; y' = (5·y - 4)/(2·y - 5·x)

At x = 1, we get;

y² - 5·y + 4 = 0

(y - 4)·(y - 1) = 0

At x = 1, y = 4 and y = 1

Therefore;

At (1, 4), y' = (5 × 4 - 4)/(2 × 4 - 5 × 1) = 16/3

The equation of the tangent is therefore;

y - 4 = (16/3)·(x - 1)

y = 16/3)·x - 16/3 + 4 = 16/3)·x - 4/3

The tangent at (1, 4) is; y = (16/3)·x - 4/3 = (5 1/3)·x - 1 1/3

Equation of the first tangent is;  [tex]y = 5\frac{1}{3} \cdot x - 1\frac{1}{3}[/tex]

At (1, 1), y' = (5 × 1 - 4)/(2 × 1 - 5 × 1) = 1/-3 = -1/3

The equation is therefore;

y - 1 = (-1/3)·(x - 1)

y = (-1/3)·x + 1/3 +  1 = 4/3 - (1/3)·x

The equation of a second tangent is; y = 4/3 - (1/3)·x = (1 1/3) - (1/3)·x

Equation of the second tangent is; [tex]y = 1\frac{1}{3} - \frac{1}{3} \cdot x[/tex]

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Find the future value of an annuity due with an annual payment of $13,000 for three years at 3% annual interest using the simple interest formula. What is the future value of the annuity? How much was invested? How much interest was earned? What is the future value of the annuity?​

Answers

Answer:

The future value of the annuity is $14,170.

The total amount invested is $39,000.

The interest earned is $14,170 - $39,000 = -$24,830

Step-by-step explanation:

The future value of the annuity can be calculated using the formula:

FV = P * (1 + r)^n

where FV is the future value, P is the annual payment, r is the annual interest rate, and n is the number of years.

In this case, the annual payment is $13,000, the annual interest rate is 3%, and the number of years is 3. So, the calculation is:

FV = $13,000 * (1 + 0.03)^3

FV = $13,000 * 1.09

FV = $14,170

So, the future value of the annuity is $14,170.

How much was invested?

The annual payment is $13,000. We multiply that by the number of years of the investment, 3 years. The total amount invested is $39,000.

How much interest was earned?

We can calculate the interest earned by subtracting the total amount invested from the future value.

The interest earned is $14,170 - $39,000 = -$24,830

So, the future value of the annuity is $14,170, the total amount invested is $39,000 and the interest earned is -$24,830.

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The cost of installing insulation in a particular two-bedroom is $2400. Present monthly heating costs average $300, but the insulation is expected to reduce heating costs by 10%. How many months will it take to recover the cost of the insulation?


___________ months

Answers

Answer:

80 months

Step-by-step explanation:

If the present monthly heating costs average $300, but the insulation is expected to reduce heating costs by 10%, then there will be a monthly saving of 10%:

[tex]\implies \rm Monthly\;saving=10\%\;of\;\$300 =\dfrac{10}{100} \times \$300=\$30[/tex]

To calculate how many months it will take to recover the cost of the insulation, divide the cost of installing the insulation by the monthly saving:

[tex]\implies \rm Number\;of\;months=\dfrac{\$2400}{\$30}=80[/tex]

Therefore, it will take 80 months to recover the cost of the insulation.

Answer:

80 months

Step-by-step explanation:

The expected monthly savings from the insulation are: $300 × 10% = $30.

So, the number of months required to recover the cost of the insulation, $2400, is $2400/$30 = 80 months.

can someone help me out?

Answers

An Inequality for the statement is -4y ≤ -2/3.

What is Inequality?

Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given statement,

Number y multiplied by -4 is no more than -2/3

which means

- 4 y is less or equal to -2/3 and can be written as inequality

-4y ≤ -2/3

Hence, -4y ≤ -2/3 is the Inequality for the given statement.

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there must be less than 36 people on one bus. there are already 17 people on the bus. let p represent the additional number of people that can ride the bus

Answers

Answer:

17+p=36

Step-by-step explanation:

people already on bus + additional people=limited people

17+p=36

p=36-17

p=19

Oakdale Fashions, Inc.’s, 2021 income statement is reported below. (Use corporate tax rate of 21 percent for your calculations.)

Oakdale Fashions, Inc., Income Statement for 2021
Net sales (all credit) $ 620,000
Less: Cost of goods sold 237,000
Gross profits $ 383,000
Less: Other operating expenses 112,000
EBITDA $ 271,000
Less: Depreciation and amortization 17,200
EBIT $ 253,800
Less: Interest 85,500
EBT $ 168,300
Less: Taxes
Net income $


Determine the firm's 2021 tax liability.

Answers

Answer:

The firm's 2021 tax liability can be calculated as follows:

EBT (Earnings Before Taxes) = $168,300

Taxes = EBT * Corporate Tax Rate = $168,300 * 0.21 = $35,253.

Please help me with the following question.

Answers

The null hypothesis states that there is no difference in the intensity of any discomfort experienced while counting money versus paper. Money-related groups have a M = 7.56 and SS = 42.22 mean.

What is null hypothesis?

The null hypothesis assumes that any differences you see between the chosen attributes in a set of data are due to chance. For instance, if the predicted profits from the gambling game genuinely equal zero, then any discrepancy between the data's average profits and zero results from chance.

Here,

According to the null hypothesis, there is no difference in how painful anything feels while counting money versus paper. The mean for the group relating to money is

=>  M = 7.56 and SS = 42.22.

=> M = 11.33 and SS = 38 for the paper group.

=> t(16) is equal to 3.57,

=> the standard error is 1.06, and the pooled variance is 5.01.

=>The critical values for df = 16 are 2.921.

Reject the null hypothesis and draw the conclusion that there is a notable variation in the level of discomfort felt after counting money versus counting paper.

=> d = 3.77/2.24 = 1.68

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what is 5/8 6 times larger​

Answers

Because smaller denominators result in larger fractional pieces, the denominators for the numbers 6 and 8 are 6 and 8, respectively. Therefore, 5/6 will be greater than 5/8.

Which fraction can be determined to be larger?

As you saw, you may compare fractions with the same denominator by examining their numerators. As you can see below, 3/4 is larger than 1/4.

The fraction grows as the numerator gets bigger. Due to the fact that it represents a portion of a whole, the fraction 5/8 can never be a whole number. The fraction 5/8 represents 5 of the 8 parts that make up the whole.

Although the decimal 0.625 is equivalent to 5/8, it still does not make a whole. You may represent 5/8 as that. The complete response is provided below. Because smaller denominators result in larger fractional pieces, the denominators for the numbers 6 and 8 are 6 and 8, respectively. Therefore, 5/6 will be greater than 5/8.

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If 1/2 of 1/5 of a number is 6, what is the number?

Answers

Answer:

Step-by-step explanation:

1/2*1/5=1/10

1/10x=6

x=6*10

x=60

this question I need help

Answers

The graph of the linear function y = -3x is attached below.

What is Linear Function

A linear function is a type of mathematical function that describes a straight line relationship between two variables. It is defined by an equation of the form:

y = mx + b

where y is the dependent variable (output), x is the independent variable (input), m is the slope of the line, and b is the y-intercept (the point where the line crosses the y-axis).

In a graph, a linear function will always be a straight line. The slope (m) tells you how steep the line is, and the y-intercept (b) tells you where the line crosses the y-axis. The slope-intercept form is y = mx + b

The linear function given is y = -3x

From the table of values;

f(x) = -3x

f(-1) = -3(-1)

f(-1) = 3

f(0) = -3(0)

f(0) = 0

f(1) = -3(1)

f(1) = -3

Plotting this on a graph, our slope is -3 and since it doesn't have a            y - intercept, the graph passes through the origin.

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consider the line y=2/7x + 1
Find the equation of the line that is perpendicular to this line and passes through the point (-4,6).

Answers

perpendicular means the opposite inverse of a slope

so the slope of the other line is -7/2

y = -7/2x + b

from the given point (-4,6)

6 = (-7 *4)/2 + b

6 = -14 +b

b = 20

y = -7/2x + 20

Please help me with this question.

Answers

Due to length restriction, we kindly invite to check the explanation for further details on profit and risk minimization.

How to analyze and use of two investments to minimize risks

In this problem we find the case of a person that invests a lot of money, distributed in two investments. We need to determine how much money must be invested in each plan to earn a desired return:

R = (C - c) · (r₁ / 100) + c · (r₂ / 100)

Where:

C - Total amount invested, in monetary units. c - Amount invested in the most risky investment. r₁ - Interest rate of the least risky investment, in percentage.r₂ - Interest rate of the most risky investment, in percentage.R - Return, in monetary units.

Part A - If we know that R = 9300, C = 91000, r₁ = 10 and r₂ = 11, then the amount invested in the most risky investment:

9300 = (91000 - c) · (10 / 100) + c · (11 / 100)

930000 = (91000 - c) · 10 + c · 11

930000 = 910000 - 10 · c + 11 · c

c = 20000

The person must invest $ 20000 in the least risky investment and $ 71000 in the most risky investment.

Part B - The use of two accounts gives a reasonable equilibrium between profit and risk minimization.

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What is the difference between the median and the range in the data set shown below?


A. 5
B. 4.75
C. 1
D. 0.25

Answers

The difference between the median and the range in the data set shown below is option A. 5.

What is mean ?

Mean can be defined as the ratio of sum of given observations and total number of observations.

The calculation is as follows:

Median is 7

As two numbers in the middle should be 8 and 6.

Now

= 8+ 6

= 14

It should be divided by 2 so it comes 7.

The range should be

= 13- 1

= 12

Now  the difference is  

= 12-7

= 5

Therefore, The difference between the median and the range in the data set shown below is option A. 5.

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select all the common denomonators for 1/4 and 7/10
A. 10
B.20
C.24
D.32
E.40

Answers

Answer: 20 and 40

Step-by-step explanation: i how how to do math

Answer:

B.20

E.40

Step-by-step explanation:

The common multiples are 20 and 40.

Someone help me...
i need Help with this answer

Answers

Answer:

  B.  y = 5x

Step-by-step explanation:

You want to find the proportional relationship among the answer choices.

Proportion

The hint shows you the proportional relationship is expressed by an equation that has a multiplier for x, with no added constants, and no exponents.

You find the answer to this question by matching the answer choices to the given form. There is only one match:

  y = 5x

1. Find the 6th term in the geometric sequence where a1= 2 and r= 3
2. Find the 9th term in the geometric sequence where a1= 1/3 and r= 3

Answers

Answer:

486 and 2187

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ × [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

(1)

here a₁ = 2 and r = 3 , then

a₆ = 2 × [tex]3^{5}[/tex] = 2 × 243 = 486

(2)

here a₁ = [tex]\frac{1}{3}[/tex] and r = 3 , then

a₉ = [tex]\frac{1}{3}[/tex] × [tex]3^{8}[/tex] = [tex]\frac{1}{3}[/tex] × 6561 = 2187

If a coin is fair and is flipped 20 times, approximately what proportion of the coin flips do you expect will land heads

Answers

let's say the front of the coin is T and the back is h

Step-by-step explanation:

th

tt

ht

hh

Simplify. (2x² + x) - (-2x² + 4x − 2)
0 4x² +5x+2
O4x²+3x+2
0 4x²-3x+2
0 4x² + 5x - 2

HELP ASAP! IM TAKING A TEZT

Answers

The simplified form of the expression is 4x² - 3x + 2

Answer:

[tex]4x^{2} - 3x + 2[/tex]

Step-by-step explanation:

[tex](2x^{2} + x) - (-2x^{2} + 4x - 2)\\\\2x^{2} + x + 2x^{2} - 4x - 2\\\\\\4x^{2} -3x+2[/tex]

a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 405 gram setting. is there sufficient evidence at the 0.1 level that the bags are underfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.

Answers

There is no sufficient evidence to keep up the claim that the bags are underfilled.

We are given;

n = 27 bags

Sample mean;X = 402 gram

Population mean;μ = 404 gram

Variance = 676

We know that, standard deviation(σ) = √variance

Thus;

σ = √676

σ = 26

The hypotheses are;

Null hypothesis; H0: μ = 404

Alternative hypothesis; HA: μ < 404

Let's find the z-score from the formula;

z = (X - μ)/(√σ/n)

z = (402 - 404)/√(26/27)

z = -2.04

The z-distribution table attached, we have a p-value of 0.02068

This is less than the significance value of 0.01 and we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled.

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The complete question is:

A manufacturer of chocolate chips would like to know whether its bag-filling machine works correctly at the 404-gram setting. It is believed that the machine is underfilling the bags. A 27-bag sample had a mean of 402 grams with a variance of 676. A level of significance of 0.1 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?

5. GARDENING Jane needs to buy mulch
for the garden with the dimensions
shown in the figure. For how much area
does Jane need to buy mulch? Round to
the nearest tenth.
5.5 yd

Answers

Answer:

The dimensions of the garden are not provided in the question, so it is not possible to determine the area for which Jane needs to buy mulch. Without knowing the dimensions, there is not enough information to answer the question.

Step-by-step explanation:

Please help me with this question.

Answers

The value of Sin2θ in 4th the quadrant is -8/5

What are trigonometric ratios?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled

Given that, cosθ = √5/5, we need to find sin2θ

According to SOH, CAH, TOA;

cos θ = adjacent/hypotenuse

Finding the opposite

5² = opp² + √5²

opp²  = 25 - 5

opp² = 20

opp = 4√5

Sinθ = opp/hyp

Sin = 4√5/5

Sin2θ = 2sinθcosθ

Sin2θ = 2 × 4√5/5 ×√5/5

Sin2θ = 8/5

Since, the quadrant is 4th so, Sin2θ = -8/5

Hence, the value of Sin2θ in 4th the quadrant is -8/5

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oblem Solving Solve each problem below.
- Reasoning Luz has juice boxes at her
party. There are 3 packages of 10 and
7 extra juice boxes.
How many juice boxes are there in all?
Write the number of tens and ones. Then
write the total number of juice boxes.
Tens
One

Answers

Answer: Luz has 37 juice boxes.

Step-by-step explanation:

3 packages x 10 juice boxes = 30 juice boxes

30 + 7 = 37 juice boxes.

37 = 3 x 10 + 7 x 1

Can you please help me with this and not just answer for points, my grade depends on this question

Answers

The role of the media in a democracy is essential for a free and informed society.

What is the democracy ?

Democracy is a form of government in which power is held by the people through their elected representatives. It is based on the principle of political equality and rule of law, where all citizens have an equal say in the decisions that affect their lives. It is a system of government in which citizens have the right to vote, stand for office, and participate in decision-making processes that shape their communities and the nation as a whole.

The media acts as a watchdog for the government, keeping them accountable and ensuring that the people are aware of the decisions being made. It also provides a platform for citizens to express their opinions and to discuss important issues. Additionally, the media can help to educate the public on important topics, such as politics, economics, and social issues. This helps to ensure that citizens are well informed and can make informed decisions when voting or engaging in other forms of political participation.

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There are 6,500 cities on planet Yellow. The planetary government takes a random sample of 250 cities and finds that the average number of complaints about litter from the sample was 3.2 ± 0.59. Which of the following is an estimate of the total number of litter complaints for planet Yellow?

Between 652.5 and 947.5 complaints
Between 16,965 and 24,635 complaints
Between 147.5 and 800 complaints
Between 3,835 and 20,800 complaints

Answers

The estimate of the total number of litter complaints for planet Yellow is:

Between 3,835 and 20,800 complaints.

The average number of complaints about litter from the sample of 250 cities is 3.2 ± 0.59. This means that the actual number of complaints could be anywhere from 2.61 to 3.79. To estimate the total number of complaints for all 6,500 cities on planet Yellow, we need to multiply the sample average by the number of cities.

If we assume the lower end of the sample average (2.61), then the total number of complaints would be:

2.61 x 6,500 = 17,065

If we assume the upper end of the sample average (3.79), then the total number of complaints would be:

3.79 x 6,500 = 24,935

So the total number of complaints for planet Yellow is estimated to be between 17,065 and 24,935, which is equivalent to the range of:

Between 3,835 and 20,800 complaints.

Other Questions
Asia rarely uses gestures in normal conversation. Now she has to present a speech, and Lanae told her she must gesture frequently. Asia does not know what to what to do. What would you recommend?Tell her not to gesture in her speech unless she feels compelled to. I need some help can any one help ? Political parties:[mark all correct answers]a. Have a significant impact on the agendas within the governmentb. Influence public opinion and educate voters on important issuesc. Do not attempt to educate voters on important issuesd. Do not have that big of an impact on the agendas within the government How do you find D when Diagonalizing a matrix? Please rewrite the following sentences by conjugating the verbs in the present progressive: 1. Nuestro equipo (estar) (ganar) el partido.2. Ellos (estar) (comprar) una bicicleta.3. Mi prima (estar) (hacer) un viaje por Mexico.4. Yo (estar) (tomar) muchas fotos.5. Tu (estar) (aprender) espanol.6. Juan (estar) (leer) el periodico.7. Tu y yo (estar) (ir) a clase. 8. Mis primos (estar) (dormir) la siesta. "Fear? What should a man fear? It's all chance, chance rules our lives. Not a man on earth can see a day ahead, groping through the dark. Better to live at random, best we can. And as for this marriage with your mother-- have no fear. Many a man before you, in his dreams, has shared his mother's bed. Take such things for shadows, nothing at all-- Live, Oedipus, as if there's no tomorrow! What inference can be made about Kate based on the details in the excerpt and what the reader has learned about Kate so far?ResponsesKate knows she has plenty of time to reach the railroad station. Kate is having trouble running because she is so panicked.Because she has been running so hard, it hurts to breathe. Without her Pa by her side, she is unsure how to help. Hellllp I neeeeddd helllp asap Rousseau had great concerns about how parenting and education impacts a child's development. These concerns included that ______________________. Option : A.children would become slaves of conventions and social approval.B. adults overlook children's innate interests and capacitiesC.Both A&B Which are among Forni's recommendations for improving civility in society and the workplace?-pay attention to small things -slow down and be present in life -keep a positive attitude out of 9799 wistles that a company manufactured, some were rejected for shipment to stores because they did not pass the quality controll standards of the company. estimate the number of wistles that did not pass Place the following steps in order describing how sound is created and heard, with the first step at the top.1. An object, such as string, is made to vibrate2. Vibrations are transmitted through the air to our ears3. The eardrums vibrate and signals are carried to the brain4. Signals are interpreted in the brain as sound why is firm specific learning better in general for an organization? if somebody doesnt have freckles, do you know what their genotype is? why or why not y = 3x + 4y, x + 2y = -1 using substitution A senator makes a speech on the floor of the United States Senate in which she asserts that William, a federal civil servant with minor responsibilities, was twice convicted of fraud by the courts of a particular state. In making this assertion, the senator relied wholly on research done by her chief legislative assistant. In fact, it was a different man named William and not William the civil servant, who was convicted of these crimes in the state court proceedings. This mistake was the result of carelessness on the legislative assistant's part. No legislation affecting the appointment or discipline of civil servants or the program of the federal agency for which the federal civil servant works was under consideration at the time the senator made her speech about him on the floor of the Senate. The federal civil servant sues the senator and the legislative assistant for defamation. Both defendants move to dismiss the complaint.As a matter of constitutional law, the court hearing this motion should Which of the following is a step that is critical to creating an agility capability?Map processes to make them visible.Use information systems to monitor operations.Cross-train workers and organize work in multifunctional teamsDesign performance measures to value agility.Build learning loops into every process throughout the organization.All of the above Which of the following is a trend that began during the Vietnam War and continued with the Internet? Which statement describes an environmental consequence of sustainable land use? (2 points)If common land use is restricted, it can slow down the economy.If there is less land pollution, there will be less disease and illness.Building a park instead of more housing may be unpopular with residents.If commons are protected, environmental issues could move to other areas. EASY POINTS 12 POINTS!Find an ordered pair (x, y) that is a solution to the equation.-x+2y=7(x, y) = ????