Which type of number?

Step-by-step explanation:

8z^3+z^2+3z-1/z-1 you can use long division to get 8z^2+(9z^2+3z-1)/(z-1). You can keep dividing this equation until you get 8z^2+9z+12+11/z-1.

By using synthetic division, you can divide it into

1 -1. 8 1 3 -1 (a.k.a their coefficients)

Then bring the 8 down three, 1 down two, and 3, down one. Take that and multiply the one by each, and put it down. 8, 1, and 2. Then, do that with -1, to get -1, -2, and 1. So, the answer is 8z^2+9z+12+11+z-1. But since it's division, and there are 4 terms on one side, and 2 terms on the other, you have to divide it so it's 8z^2+9z+12+11/z-1.

Hope this makes sense!

\(\huge \boxed{Answer}\)

there are two containers in four parts has to be filled in each, therefore, the fraction greater than one will be =

total number of part stobe filler in container

_________________________________________

number of parts in each container

= 8/4

the whole number greater than one will be = 2

hence, the whole number and a fraction greater than one to name the part filled is 2 and 8/4

when the minute hand rotated through 1260° time will became 5:30 PM

Complete angle:-

                             A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.

      In an hour or in 60 minute, minute hand covers a 360° angle.

   According to question,

                              initially it is 2:00PM,that is minute hand at 12 and hour hand at 2

       it is given that minute hand has rotated through 1260°

                        1260° = 3 x 360° + 180°

                                                             which means minute hand will have three complete rotation and one half rotation.

            when minute hand rotated through 360° angle then hour hand will move from 2 to 3.

              And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.

             Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.

           As of now, minute hand have taken three complete rotation and so hour hand reached at 5

                 Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.

           So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.

            hence,  time will be 5:30 PM

                            Option A is correct

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Answer:

7x - 4

Step-by-step explanation:

2x + 4 + 5x - 8

7x + 4 - 8

7x - 4

An arithmetic progression (AP) is a sequence of numbers such that the difference between any two consecutive terms is always the same.

This common difference is called the common ratio of the arithmetic progression. The general form of an arithmetic progression is a, a + d, a + 2d, ..., where a is the first term and d is a common difference.

The nth term of an arithmetic progression can be found by using the formula: a_n = a + (n-1)d, where a is the first term, d is a common difference, and n is the position of the term in the progression.

If a, b, and c are in arithmetic progression, then the common difference is (b-a) = (c-b).

If d, e, and f are also in arithmetic progression, then the common difference is (e-d) = (f-e).

If a, d are the same and b, e are the same, then c = f.

so the common difference between both progressions is the same, and c = f

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let , and be arithmetic progressions. if and , then what is ? let , and be arithmetic progressions. if and , then what is the common difference

⊂ Hey, islandstay ⊃

Answer:

Slope = -2

Step-by-step explanation:

Formula for Slope(m):

(y₂ - y₁) / (x₂ - x₁)

Solve:

(x₁, y₁) and (x₂, y₂)

(2₁, -8₁) and (-4₂, 4₂)

Now put it in the slope formula;

4 - (-8) / -4-2

12/-6

Slope(m) = -2

xcookiex12

4/20/2023

The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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So, the two factors of 16 that have a product of 16 and a sum of 10 are 8 and 2.

The first number is 16 and the second number is 10. We need to find two factors of 16 such that their product is 16 and their sum is 10.

Let's start by listing the factors of 16:

1, 2, 4, 8, 16

To find two factors that satisfy the given conditions, we can start with the largest factor (16) and work our way down, looking for a pair of factors whose sum is 10.

16 + 1 = 17

16 + 2 = 18

16 + 4 = 20

16 + 8 = 24

16 + 16 = 32

None of these pairs of factors add up to 10, so we need to move on to the next largest factor, which is 8.

8 + 1 = 9

8 + 2 = 10

We have found a pair of factors whose sum is 10, so we can check if their product is 16:

8 x 2 = 16

So, the two factors of 16 that have a product of 16 and a sum of 10 are 8 and 2.

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Answer:

D

Step-by-step explanation:

0.0516 = 0.0516

5/16 = 0.3125

16% = 0.16

0.05 = 0.05

From least to greatest:

0.05, 0.0516, 0.16, 0.3125

0.05, 0.0516, 16%, 5/16

Answer:  D

The given statement "an education can be the key to higher earnings" is true, as a U.S. Census Bureau study shows that earnings increase with the level of education.

The study shows that high school graduates earned $30,400 per year, associate’s degree graduates averaged $38,200 per year, and bachelor’s degree graduates averaged $52,200 per year. This indicates that an individual's earnings will increase with their level of education.

As an individual's level of education increases, their earnings also increase. The U.S. Census Bureau study demonstrates that a high school graduate earns less than an associate's degree graduate, and an associate's degree graduate earns less than a bachelor's degree graduate.

This is because education enables an individual to obtain better job opportunities and more specialized skills in their area of interest, which are valued in the job market. As a result, higher education has a significant impact on an individual's income.

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Answer:

I can't

Step-by-step explanation:

Right angled triangle ✅

90° + 3x + 2x = 180° {sum}

5x = 90

x = 90/5 = 18

x = 18

acute angle : 3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

Answer:

19.8 cm

Step-by-step explanation:

Using the Pythagorean theorem , the Square of the distance between the top of the piece and the Shadow Is the sum of the height of the piece. and the lenght of the shadow. basically Just build a triangle with the 3 points you are given: height of the piece, lenght of the shadow and distance between the 2. so it's sqrt(13^2+15^2) = sqrt(394) =19.8 cm

The other side lengths of the triangle are 26 and 28 cm

The perimeter (P) is given as:

P = 84 cm

The area is given as:

A = 336

Let the sides be x, y and z.

So, we have:

x + y + z = 84

By herons' formula, we have:

\(Area = \sqrt{s(s-x)(s-y)(s-z)}\)

Where:

s = 0.5(x + y + z)

Multiply by 2

2s = x + y + z

Recall that:

x + y + z = 84

So, we have:

2s = 84

Divide by 2

s = 42

Let x = 30 ---- the given side length

So, we have:

30 + y + z = 84

Subtract 30 from both sides

y + z = 54

Make y the subject

y = 54 - z

Recall that

\(Area = \sqrt{s(s-x)(s-y)(s-z)}\)

The area is 336. So, we have:

\(336 = \sqrt{s(s-x)(s-y)(s-z)}\)

Square both sides

112896 = s(s-x)(s-y)(s-z)

Substitute values for x, y and s

112896 = 42(42-30)(42 - (54 - z))(42 - z)

Divide through by 42

2688 = (42-30)(42 - (54 - z))(42 - z)

Divide through by 12

224 = (42 - (54 - z))(42 - z)

Evaluate the brackets

224 = (z - 12)(42 - z)

Using a graphing calculator, we have:

z =26 or z = 28

Recall that:

y = 54 - z

So, we have

y = 54 - 26 = 28

y = 54 - 28 = 26

Hence, the other side lengths of the triangle are 26 and 28 cm

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Answer:

an infinite amount of solutions

Step-by-step explanation:

do you want an explanation?

btw, plz brainliest

Answer: Infinite

Step-by-step explanation: :)

The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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Hence, it is expected that 14 flights will arrive on time out of the 100 trials of this experiment.

The probability of an occurrence is a number used in mathematics to describe how likely it is that the event will take place. In terms of percentage notation, between 0% and 100% it is expressed as a number between 0 and 1, or . The higher the likelihood, the more likely it is that the event will take place.

 when we refer to an experiment or trial, we mean a random experiment. When difference  between a trial and an experiment, think of the experiment as a larger entity created by the fusion of several trials.

Unless otherwise stated,A trial is any specific outcome of a random experiment. In other words, a trial of the experiment is what we call when we conduct an experiment.

according to question, the number of on-time flights in 100 trials as a binomial random variable with parameters n = 100 (the number of trials) and p (the chance of success, i.e., a flight being on time), presuming that the probability of a flight being on time is the same in all trials.

The expected number of on-time flights in 100 trials is E(X) = np if the same of a flight being on time is p. Given that E(X) = 15, we determine p ,

E(X) = n p = 15 n = 100

p = \(\frac{E(X)}{n} = \frac{15}{100}\) = 0.15

Therefore, it is probability that 0.15 %of flights will arrive on time.

To determine the expected  number of trials from a total of 100

Using the probability mass function of the binomial distribution, we can get the expected probability of trials out of 100 that result in precisely 15 flights departing on time:

\(P(X = 15)=(100 choose 15) * 0.15^{15} * 0.85^{85}\)

We can calculate this 0.144 get  using a calculator.

therefore it is expected that 14 flights will arrive on time out of the 100 trials of this experiment. It should be noted that while this is an expected value, random fluctuation may cause the actual number of on-time flights in each trial to deviate somewhat from this figure.

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Answer:

yes

Step-by-step explanation:

Answer:

yes they are similar

Step-by-step explanation:

DEF HAVE TWICE THE LENGTH OF ABC

With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

500 earphones must be produced to get the cost price of one ear phone of $20.

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

The start-up costs for manufacturing earphones is $5,000.

Also, the cost to make earphones is $10.

Let x number of  earphones will produced to get a cost per unit of $20.

From the given conditions, we will get a linear equation in one variable

10x + 5000 = 20x

⇒ 5000 = 20x -10x

⇒ 5000 = 10x

⇒ x = 500

Hence, 500 earphones must be produced to get the cost of earphone of $20.

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Answer:

40b

Step-by-step explanation:

40b-56+56

40b

hope this helps

Answer:0

Step-by-step explanation: I had used my Scientific calculator

Answer:

  a.  0

Step-by-step explanation:

You want the limit of (k(x) -h(x))/k(x) as x approaches 0 when k(x) = sin(x)/x {x≠0} and h(x)=x+1 {x<1}.

Since we're concerned about the limit as x → 0, we don't have to be concerned with the fact that the expression is undefined at x = 0.

The function h(x) is defined as h(0) = 1, so we can just be concerned with the value of ...

  lim[x→0] (k(x) -1)/k(x)

The limit of k(x) as x → 0 is 1, so this becomes ...

  lim[x→0] (k(x) -1)/k(x) = (1 -1)/1 = 0

At x=0, sin(x)/x is the indeterminate form 0/0, so its limit there can be found using L'Hôpital's rule. Differentiating numerator and denominator, we have ...

  lim[x→0] sin(x)/x = lim[x→0] cos(x)/1 = cos(0) = 1

The fact that k(0) = 0 is irrelevant with respect to this limit.

__

Additional comment

We like to use a graphing calculator to validate limit values. The attachment shows the various functions involved. It also shows that as x gets arbitrarily close to 0 from either direction, the value of g(x) does likewise. This is all that is required for (0, 0) to be declared the limit. The lack of definition of g(x) at x=0 simply means the relation has a (removable) discontinuity there.

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Based on both a) the classical method and b) the p-value method, we reject the claim made by the magazine and agree that the average distance traveled by cars is less than 20,000 kilometers per year.

To determine whether the average distance traveled by cars is less than 20,000 kilometers per year, we can perform a hypothesis test using the given sample mean and standard deviation.

a) The classical method:

In the classical method, we set up the null and alternative hypotheses based on the claim and the sample data. The null hypothesis (H0) assumes that the average distance is 20,000 kilometers or more, while the alternative hypothesis (H1) assumes that the average distance is less than 20,000 kilometers.

H0: μ ≥ 20,000 (claim made by the magazine)

H1: μ < 20,000 (alternative hypothesis)

Next, we determine the test statistic using the sample mean, sample standard deviation, and the sample size. Since the population standard deviation is not known, we use the t-distribution for the test statistic.

The test statistic (t-value) is calculated as:

t = (x - μ) / (s / \(\sqrt{n}\))

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Substituting the given values:

x = 19,000 kilometers

μ = 20,000 kilometers

s = 3,900 kilometers

n = 100

t = (19,000 - 20,000) / (3,900 / \(\sqrt{100}\))

t = -100 / (3,900 / 10)

t ≈ -2.5641

Next, we compare the t-value with the critical value from the t-distribution table. Since the alternative hypothesis assumes a less than relationship, we look for the critical value corresponding to the left tail area of 0.05 with degrees of freedom (df) equal to the sample size minus 1 (df = 100 - 1 = 99).

Looking up the critical value for a significance level of 0.05 and df = 99, we find the critical t-value to be approximately -1.6602.

Since the calculated t-value (-2.5641) is smaller in magnitude than the critical t-value (-1.6602), we reject the null hypothesis. This means we have evidence to support the claim that the average distance traveled by cars is less than 20,000 kilometers per year based on the given sample data.

b) The P-value method:

The P-value method involves calculating the p-value, which represents the probability of obtaining a test statistic as extreme as the observed value (or more extreme), assuming the null hypothesis is true.

Using the t-value (-2.5641) calculated earlier and the t-distribution table (or a calculator), we can find the p-value associated with this test statistic. For a one-tailed test, the p-value is the probability of observing a t-value smaller than -2.5641.

Looking up the p-value in the t-distribution table (or using a calculator), we find that the p-value is approximately 0.0076.

Since the p-value (0.0076) is less than the significance level of 0.05, we reject the null hypothesis. This provides further evidence to support the claim that the average distance traveled by cars is less than 20,000 kilometers per year based on the given sample data.

In conclusion, based on both the classical method and the p-value method, we reject the claim made by the magazine and agree that the average distance traveled by cars is less than 20,000 kilometers per year.

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Answer:

pumpkin = pot

ghost = the pumpkin

pot = witch hat

Answer:

7mm

Step-by-step explanation:

A parallelogram has 2 sets of equal sides, so if one side is 7mm, then the opposite side is too.

The triple integral ∭ezdv can be evaluated  as \([1/6(e^\frac{2}{3} - 1) - 3/2]\)

The region of integration is the solid bounded by the cylinder y^2 z^2 = 36 and the planes x = 0, y = 3x, and z = 0 in the first octant. We can set up the triple integral as follows:

\(\int\limits } \int\limits }\int\limits^z_e ∭dV = \int\limits^2_0 \int\limits^{y/3}_0 \int\limits^{6/y^2}_0 e^z dz dx dy\)

To see why these limits of integration are chosen, note that the cylinder y² z² = 36 can be rewritten as z = 6/(y²), and the plane y = 3x can be rewritten as x = y/3.

Evaluating the integral, we get:

\(\int\limits \int\limits \int\limits e^z dV = \int\limits^3_0\int\limits^{y/3}_0 \int\limits^{6/y^2}_0 e^z dz dx dy\)

\(= \int\limits^3_0\int\limits^{y/3}_0 (e^{(6/y^2)} - 1) dx dy\)

\(= \int\limits^3_0 [(1/2)(e^{(2/9y^2)} - 1) - (y/3)] dy\)

\(= [1/6(e^\frac{2}{3} - 1) - 3/2]\)

Therefore, the value of the triple integral is \([1/6(e^\frac{2}{3} - 1) - 3/2]\)

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Answer:

32%

Step-by-step explanation:

Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant in this problem is:

k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.

Hence her earnings for x hours of work is:

y = 26.7x.

For 5.5 hours of work, her earnings are:

y = 26.7(5.5) = $146.45.

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