Create a quadratic inequality with the roots -5 and 2.

Answer:

[tex]m = \frac{2 - 4}{ 6 - 0} = \frac{ - 2}{6} = - \frac{1}{3} [/tex]

Hi that would be -1/3 or 1/-3 either one is correct.

The air is filled inside the balloon at the rate of 1600π cm³/sec.

The rate during which air is blown into the balloon is identical to the rate that the volume of a balloon grows.

Volume of the spherical balloon;

V = (4/3)πr³

Given is dr/dt = 4 cm/sec.

To calculate the volume change with respect to time.

dV/dt when r = 10 cm.

Differentiate V = (4/3)πr³ with respect to t.

d(V)/dt = (d/dt)(4/3)πr³

dV/dt = (4/3)π. 3r² dr/dt

dV/dt = 4πr² dr/dt

Put the values.

dV/dt = 4π(10)² .(4)

dV/dt = 1600π cm³/sec

Thus, air is filled inside the balloon at the rate of 1600π cm³/sec.

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Explanation:

Draw a circle and split it into 4 equal pieces.

We'll split the 160 students into four equal groups

160/4 = 40

Write the number 40 in each slice. Shade 3 of those slices to represent 3*40 = 120 students went to the pep rally (the remaining 40 did not go).

Answer:

120

Step-by-step explanation:

Take the 160 divide by ¾ to get 120.. These are the number of students who went

The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

For example x ∝ y

The graph of seconds and ounces has shown.

If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.

Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.

Removing proportionality,

x = ky

k = x/y

Substitute,(x,y) = (1,2)

k = 1/2

Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".

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Answer:   -28 percent

Step-by-step explanation:

Answer:

24.8

Step-by-step explanation:

hope it help

have a nice day

Answer: the answer for y=3x+7 is    x=y-7/3

the answer for y = -2x - 8   x=-8-y/2

Step-by-step explanation:

Answer:

2.5*10^7

Step-by-step explanation:

standard form means 1 number before the decimal

Answer: 735

Step-by-step explanation:

Step-by-step explanation:

there is no side marked y.

to get x :

the graphic shows us already the split of the overall object into sub-shapes :

2 right-angled triangles

1 rectangle

x is the sum of the width of the rectangle and the shorter leg of the larger, top right-angled triangle.

to get both we need to use Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs of the triangle.

let's start with the shorter leg of the larger triangle.

the Hypotenuse is 18, and the longer leg is the same as the length of the "underlying" rectangle : 10.

so, we get

18² = 10² + leg1²

324 = 100 + leg1²

leg1² = 224

leg1 = sqrt(224) = 14.96662955...

now to the width of the rectangle.

it is the same as the longer leg of the smaller triangle on the right side.

its Hypotenuse is 5. its shorter leg is 2.

so, we get

5² = 2² + leg2²

25 = 4 + leg2²

leg2² = 21

leg2 = width rectangle = sqrt(21) = 4.582575695...

x = leg1 + leg2 = 14.96662955... + 4.582575695... =

= 19.54920524...

[tex]2 \sqrt[3]{5} [/tex]

2(3^√5

Answer:

w = -8

Step-by-step explanation:

43 = -3w - 6w -29

combine w terms on right side:

43 = -9w -29

add 29 to both sides:

43 + 29 = -9w -29 + 29

72 = -9w

divide both sides by -9:

72/-9 = -9w/-9

w = -8

The maximum cost Dorothy should pay for the car to stay within her monthly budget amount is $23,518.84. See the explantion below.

A budget is a financial plan that takes into account both income and costs. In other words, it's a projection of how much money you'll make and expend over a specific time period, such as a month or a year.

The calculation that justified the above amount is solved as follows:

Given that:

Rate = 4%

Time = 4 years

The monthly payment is $490, to determine the amount (maximum) in 4 years, we use the Compound Interest formula:

                                          A = P (1+ (r/n)ⁿᵇ

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

b = number of time periods elapsed

A = P (1 + (0.04/1)^(1x4)

A = P (1.04)⁴ in four years

Hence, given that the monthly payment over the four-year period is $490, we say:


P [(1.04)⁴] /12 x4 = 490

⇒ P (1.04)⁴ = 490 x 48
P = (490 x 48)/1.1699
P = 20104.2824173

P [tex]\approx[/tex] 20,104

The maximum amount payable hence

= 20,104 (1.04)⁴

A = 23518.837

A [tex]\approx[/tex] 23,518.84

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The two mortician spent equal fraction on time working to paperwork

In the given question, we have two mortician that work different hours.

The first mortician worked 45 hours a week and spent 15 hours doing paperwork.

The second mortician worked 25 hours a week and spent 8.33 hours on paper work.

Let's compare the ratios and find which mortician had a greater fraction on paperwork.

Mortician A

[tex]\frac{15}{45}= 0.3[/tex]

Mortician B

[tex]\frac{8.333}{25} = 0.3[/tex]

From the calculation above, both mortician spent equal ratio of time doing paperwork.

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The net worth of the dentist is $381,585. And the correct option is D.

A person's or company's net worth is the value of their assets less the amount of liabilities they have.

The personal assets and liabilities of a dentist are listed below.

Car Value = $26,250

Car Loan = $4,600

Savings Account Balance = $42,607

Office Equipment = $19,400

Student Loans = $2,949

Credit Card Balance = $413

Checking Account Balance = $79,391

Home Value = $218,950

Net Worth of Dentist's

= Personal assets - liabilities

= 26250 - 4600 + 42607 + 19400 +79391 + 218,950 - 413

= 386598 - 4600 - 413

= 381585

= $381,585

Therefore, net worth is $381,585.

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This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

The stratified sampling can be defined as the sampling from the population which is partitioned or divided into many parts.

Here, the lady has divided her day into three parts morning, afternoon and evening.

This is a way which is used to take sample randomly from the population. therefore, Keri took 4 random sample from each part of the day.

This is a type of stratified sampling.

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If the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.

There, are two types of events- dependent and independent. Independent ones are those wherein the occurrence of one event has no effect on the probability of occurrence of another one. For example- you and your classmate passing a test are both independent events.

On the other hand, dependent events are those events that are affected by a change in any one of the events probability changing. For example- studying for a test and passing the test are both dependent events.

Thus, if the probability that an event will occur is changed as a result of the occurrence of a previous event, the events are said to be dependent events.

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There are nine different steps in questionnaire design process among which the first step is to decide upon the information required.

A good survey needs a well-designed questionnaire. However, as there is no theory of questionnaires to serve as a guide, the researcher must build his or her own intuition for what constitutes "excellent design."

A good questionnaire should directly contribute to the accomplishment of the study's goals, give complete and accurate data, be simple for interviewers and respondents to complete, allow for solid analysis and interpretation, and be brief.

The design of a questionnaire will depend on whether the researcher wants to gather quantitative data or qualitative data for the sake of better understanding or developing hypotheses about a subject (to test specific hypotheses that have previously been generated).

In the questionnaire design process, there are in all nine steps in developing the questionnaire -

Thus, the first step in the questionnaire design process is to decide the information required.

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The equations of the line will be expressed as y = 4 and y = -2x + 11 respectively.

Slope of a line may be defined as the steepness of a curve on graph. Slope is denoted by 'm'. If we are given two points (x₁, y₁) and (x₂, y₂) then the slope of line can be given by m = (y₂ - y₁)/(x₂ - x₁). Now, we have a line y = 6 and this line is parallel to x-axis, so the slope of this line is zero. Since, we have to find the equation of line parallel to given line so the slope of the line parallel to line y = 6 will also be equal to zero. Now, equation of line from points (3, 4) and slope zero is given by

(y - 4) = 0×(x - 3)

=> y - 4 = 0

=> y = 4 which is the required equation.

Now, for the second part we have need to find the equation of line parallel to line y = -2x - 1 and from point (4, 3). The slope of new line is -2 which will be same as the given line as they both are parallel. Now, equation of line will be

(y - 3) = -2(x - 4)

(y - 3) = -2x + 8

y = -2x + 8 + 3

=> y = -2x + 11 which is the required equation.

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Answer: x>2.7

Step-by-step explanation:

Discriminant for A-3, (2 imaginary solution)

Discriminant for B-1152 (2 real solutions)

Discriminant for C-400 (2 real solutions)

Discriminant for D-96  (2 real solutions)

I hope I was able to help some of it!

Answer:

70 pages

Step-by-step explanation:

42=60% so 42/6=10% or 7, 7x4=40% or 28+42=70 pgs

Jess put 7 blue counters in the bag.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The study of probability is a field of mathematics that determines the probability of an event occurring, which is represented by a number between 1 and 0.

Given Data

Jess puts 2 yellow counters and 1 blue counter in a bag. She then puts

more blue counters in the bag.

Let x be the counter she puts in the bag

Total = 1 + 2+x

Total = 3 + x

Blue counters = 1 + x

Probability:

[tex]\frac{1+x}{3+x}[/tex] = [tex]\frac{4}{5}[/tex]

5(1+x) = 4(3 +x)

5 + 5x = 12 + 4x

x = 7

Jess put 7 blue counters in the bag.

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Now the given coordinates are,

(-4,10) and (2,-10)

Thus, we have,

x₁  = -4

y₁ = 10

x₂ = 2

y₂ = -10

Given ratio, m₁ : m₂ = 1 : 3

⇒ m₁ =  1; m₂ =  3

Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.

Since the section formula is given as,

So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)  

y =  (m₁y₁ + m₂y₂) / (m₁ + m₂)  

Put the values,

x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4

⇒ x = 1/2

Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4

⇒ y = -5

So, the required coordinates are (1/2, -5)

Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).

Answer:(-3,-6)

Step-by-step explanation:

The difference in the widths, in meters, of the human hair and the piece of sand is [tex]1.4998*10^{-1}[/tex] m.

It is given in the question that:-

Width of a human hair = [tex]2*10^{-5}[/tex] m

Width of a piece of sand = [tex]1.5*10^{-1}[/tex]m

We have to find the difference in the widths, in meters, of the human hair and the piece of sand.

We know that,

Difference between the widths = Width of a piece of sand - Width of a human hair

Hence, we can write,

Difference between the widths =  [tex]2*10^{-5}[/tex] m - [tex]1.5*10^{-1}[/tex]m

We can write,

[tex]1.5*10^{-1}=15000*10^{-5}[/tex]

Hence,

Difference between the widths =

[tex]15000*10^{-5} - 2*10^{-5}= 14998*10^{-5} = 1.4998*10^{-1}[/tex] m

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Answer:

awnser is b dived by a plus k

Answer: congruent

Step-by-step explanation:

Answer: 263.088

Step-by-step explanation:

Multiply the equation

¨What does Multiply mean?¨

To compute a product; to perform a multiplication.

(8.1) x (8.12) x 4

Answer    c

Step-by-step explanation: I did the test i hope this help unlike that girl who just wrote random numbers anyways have a good day

Answer: 23/24

Step-by-step explanation:

1) Set up the equation

[tex]\frac{5}{6} + \frac{1}{8}=?[/tex]

2) Set the fractions equal to each other

Find a number that can make both denominators the same.

What I found is that both numbers can multiply by 24! By multiplying the same number on the denominator and numerator ([tex]\frac{4}{4}[/tex]), the fraction doesn't change.

[tex]\frac{4}{4} * \frac{5}{6} + \frac{1}{8} * \frac{3}{3} =?\\\frac{20}{24} + \frac{3}{24}=?[/tex]

3) Add up the fractions

[tex]\frac{23}{24}}=?[/tex]