What is the value of the expression below when x= 6 x^2+10x+3

The mechanical advantage of the wheel and axle is 4

The mechanical advantage of the wheel and axle is determined by the ratio of the radii of the wheel and axle. This ratio is equal to the ratio of the circumference of the wheel to the circumference of the axle. Thus, if the radius of the wheel is twice the radius of the axle, the mechanical advantage of the wheel and axle is 2:1.Here we are given that  The radius of the wheel and axle is 4 times the radius of the axle. So considering x to be  the radius of the axle and 4x to be the radius of  the wheel .So, MA( mechanical advantage )= 4x/x= 4

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Two lines are said to parallel when they have the same slope, from which we can find the equation for  both the lines.

The equation of two parallel lines on a graph can be determined by understanding the slope of the two lines. To find the equation of two parallel lines on a graph, first determine the slope of the two lines. This can be done by picking two points, (x1,y1) and (x2,y2), on the line and then calculating the slope using the formula: slope = (y2 - y1) / (x2 - x1). The two lines will have the same slope if they are parallel. After determining the slope, plug the slope and the coordinates of one of the points into the equation: y = mx + b, where m is the slope and b is the y-intercept. This equation will give the equation of the line in slope-intercept form. To find the equation of the second line, use the same slope and the coordinates of one of the points on the second line.

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Answer:

D.

Step-by-step explanation:

The sum of the length of any 2 sides is greater than the length of any 3rd side

10+8 = 18, so D is not possible

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

3h 20 min.

Step-by-step explanation:

Given, the pair of rational integers is 0.3 and 0.25 and the other two are 0.833 and 0.9 neither of the given rational numbers are not equivalent. To find whether any given pair is equivalent or not we use LCM.

LCM is the value that can divide both of the given numbers evenly. To find the LCM we employ the prime-factorization method.

Firstly start dividing the given integer with the smallest prime number first then repeat the division process until the quotient equals 1. To find the LCM multiply the highest powers of each prime factor.

Now, first pair is  3/10 and 25/100. LCM is 100.

3/10*10/10 = 30/100

and 25/100 = 25/100

Both 30/100 and 25/100 are not equivalent.

Next pair is 833/1000 and 9/10

LCM of 1000 and 10 is 1000

833/1000

and 9/10*100/100 = 900/1000

833/1000 and 900/1000 are not equivalent.

Therefore both the pair of rational numbers are not equivalent

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Answer:

19

Step-by-step explanation:

first solve for the missing value in the first expression:

x + 6 = 22

   -6     -6

x = 16

Now solve the second expression with the found missing value

x + 3 = _

16 + 3 = 19

The length of the CD is 15.354 cm

As we know that a perpendicular bisector divides a line segment into 2 equal halves and makes a right angle with the line.

Here, the CD is the perpendicular bisector of AB.

Now from the above definition, we can classify that

AD = BD = 9/2 cm

= 4.5 cm

Also,

ΔACD is a right-angled triangle

According to the Pythagoras theorem for any right-angled triangle

length² + base² = hypotenuse²

In the given triangle,

length = CD

Base = AD

hypotenuse = AC

Hence we get

CD² + 4.5² = 16²

or, CD² + 20.25 = 256

or, CD² = 235.75

or, CD = √235.75

or, CD = 15.354

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We know that 35 ≤ x ≤ 41 is typing speed of Nadia using inequality.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

So, Nadia can type 38 words per minute with her typical typing speed.

She has a 3-word per minute range for her typing speed.

Thus, either 38+3=41 or 38-3=35 words per minute will be typed.

Given that 38+3=41 is the actual typing speed in this case, the inequality will be:
35 ≤ x ≤ 41

Therefore, we know that 35 ≤ x ≤ 41 is typing speed Nadia using inequality.

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Triangle B C D is shown. Angle BDC is 67 degrees and Angle CDB is 60 degrees. What is m∠ABC is

d. m∠ABC = 127°

Any three points in Euclidean geometry that are not collinear result in a singular triangle and singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.In the Euclidean plane, all triangles are contained within a single plane; however, in higher-dimensional Euclidean spaces, this is no longer the case.We can use the exterior angle theorem to solve this problem.

The sum of the two opposite inner angles determines the triangle's outer angle.

Therefore, m∠ABC = mBDC + mCDB

m∠ABC = 67° + 60°

m∠ABC = 127°

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The proper decision is to reject the null hypothesis.

The concept, procedures, and method of testing a hypothesis against the null hypothesis. The testing hypothesis is said to have that level of significance if the null hypothesis is only rejected if its probability is less than a preset significance level.

Given: p-value = 0.02916

Level of significance = 9%

The P-value approach involves determining "likely" or "unlikely" by determining the probability — assuming the null hypothesis were true — of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed.

If the P-value is less than (or equal to), then the null hypothesis is rejected in favor of the alternative hypothesis. And, if the P-value is greater than, then the null hypothesis is not rejected.

Therefore, p-value is less than the level of significance.

Hence, we are rejecting the null hypothesis.

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Answer:

"Yes"

Step-by-step explanation:

1, 4, 9, 16 and 25 36, 49, 64, 81, 100, 121 and 144 are the first five square numbers.

Answer:

D

Step-by-step explanation:

9x + 5 (6/5x + 3) - 30

9x + 6x + 15 - 30

15x - 15

15(x-1)

If a collection of nickels and dimes are 15 and valued at $1 the system of equation is

The number of dimes and nickels are 5 and 10 respectively

The equation to represent the information is written bearing in mind that

10 dimes  = 1 dollar = 20 nickels

let the dimes be d and the nickels be n

d + n = 15

0.1d + 0.05n = 1

solving simultaneously gives

d = 5

n = 10

There are 10 5 dimes and 10 nickels

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Answer:

The slope of the perpendicular line is 5/4

Before hitting the ground, the final velocity of the pine cone after falling for 2.5s will be 20.5 m/s.

        (a) → v = u + at

        (b) → S = ut + 1/2at²

        (c) → v² - u² = 2aS

Given is a pine cone falls for 2.05 s.

Assume the final velocity be [v] m/s. Using the first equation of motion -

v = u + at

Now -

[u] = 0

[a] = g

So, we can write -

v = gt

v = 10 x 2.05

v = 20.5 m/s

Therefore, the final velocity of the pine cone will be 20.5 m/s.

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The probability that a randomly chosen return shows an adjusted gross income of $50,000 or more is 33.2%.

For mutually exclusive events, use the following addition rule:

        P(A or B) = P(A) +P(B)

The corresponding probabilities is :

   P( income > $50000) = P( >50)

= P(50 - 90) +P( 100 - 499) +P( ≥ 500)

= 0.215 + 0.100 +0.006

= 0.321

Therefore, the probability of a random selection returning is

P( income > 50000) = 0.321

Now ,

P( income ≥ 50000 and ≥ 100000 ) = P( > 100000)

= 0.100 + 0.006

= 0.106

The Probability Condition is:

   P(A/B) = P(A and B) / P(B)

Therefore,

P( ≥ $100000 / $ $50000)

=   P( ≥ $100000 and $ $50000)/ P( ≥ $50000)

= 0.106/ 0.321

≈ 0.3302

= 33.2%

Therefore, the conditional probability of earning at least $50000 and more is 33.2%

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The monthly payment for Ashton's $200,000 15-year mortgage with an APR of 5.5% and a 10% down payment is $1,547.16. The monthly interest is $765.16.

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The rate at which the water level in the cylindrical tank rises is 0.25 m/min. This is because the volume of water in the conical tank is equal to the volume of water in the cylindrical tank when the water level in the conical tank is 3 m.

First, calculate the volume of the conical tank when the water level is 3 m. The formula for the volume of a cone is V = 1/3πr2h, where r is the radius and h is the height. In this case, r = 4 m and h = 3 m, so the volume of the conical tank is V = 1/3π(4 m)2(3 m) = 16π m3.

Next, calculate the volume of the cylindrical tank. In this case, r = 4 m and h = 5 m, so the volume of the cylindrical tank is V = π(4 m)2(5 m) = 80π m3.

Finally, calculate the rate at which the water level in the cylindrical tank must rise in order to keep the total volume of water constant. Since the volume of the conical tank is 16π m3 and the volume of the cylindrical tank is 80π m3, the total volume of water is 96π m3. Since the water level in the con

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When conducting a significance test to determine if there is a difference between two treatments, with a quantitative response variable, treatments are given to different experimental units, we summarize the data by: Calculate the mean and standard deviation for each treatment group separately.

To calculate the sample variance when the population mean is unknown.

The uncorrected sample variance is the average squared deviation of the sample values ​​from the sample mean.

The sampling procedure should be unbiased so that the calculation of the proportion of samples responding only to treatment introduces bias.

The two treatment groups should be separate.

Random sampling is intended to provide an unbiased representation of a larger population.

Selecting a sample from a population larger than is considered fair practice (because each member of the population is equally likely to be selected).

Now we need to calculate the mean and standard deviation for each treatment group separately to eliminate the effects of false observations.

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular data set, often to better understand the overall value (magnitude and sign) of a particular data set.

Mean:

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. .The arithmetic mean of a sequence of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar x  The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the mean of the population μₓ.

Standard Deviation:

In statistics, standard deviation is a measure of the variability or variance of a set of values.  A low standard deviation indicates that the values ​​tend to be closer to the mean (also called mean) of the set, while a high standard deviation indicates that the values ​​are more spread out.

Standard deviation, sometimes abbreviated SD, is the lowercase Greek letter σ (sigma) for population standard deviation or the Latin letter s for sample standard deviation, most commonly used in mathematical texts and equations. is represented

Therefore, the correct statement is to calculate the mean and standard deviation for each treatment group separately.

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If you guess at random on all questions.

a) The expected value (ev) of the number of correct answers on your test is 4. So, correct answer is option (D)

b) The standard deviations of the number of correct answers on your test is 2.19.. So, the correct option is option (A).

The total number of multiple choice questions in test n = 30

Each question has 5 choices, that is one is right answer from five options. If I guess at random on all the questions. Let X be a random variable for guessing a answer.

Probability that guess answer is correct, p(success) = 1/5 = 0.2

Probability that guess answer is incorrect q(failure) = 1- p = 1-0.20 = 0.80

Using Binomial probability distribution,

X~bin(30,0.2)

a) In binomial Probability distribution, the excerpted value is E(X) = np

=> E(X)= 30× 0.2 = 6

hence, option(C) 10.75 is correct.

b) In binomial Probability distribution, the variance of distribution is product of n,p,q. So,

Var(X) = npq

=> Var(X)= 30(0.2)(0.8)

=> Var(X)= 4.8

Standard deviation= √4.8 = 2.19

Hence, the standard deviations or standard error is 2.19 ..

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Hi!

Find formula for plan A and plan B

plan A

y intercept 16

slope 0.18

y = m(slope)x+b(y-intercept)

y = 0.18x+16

plan B

y intercept 28

slope 0.14

y = 0.14x+28

find x value when these intersect

0.14x + 28 = 0.18x + 16

solve for x

28 = 0.04x + 16

12 = 0.04x

12/0.04 = x

x = 300

they are the same price at x = 300

to find price, plug it into any of the equations (they are equal there so theyre the same)

y = (0.14)(300)+28

y= $70

verify if the y is the same in the other equation to make sure correct

y = (0.18)(300)+16

$70

true

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Answer:

the answer is $70

Step-by-step explanation:

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By using testing of hypothesis, it can concluded that

Population mean is 25.

What is testing of hypothesis?

Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.

Here,

Sample size = 23

Population mean = 25

Sample mean = 28.739

Sample standard deviation = 10.015

Here,

The null hypothesis [tex]H_0 : \mu = 25[/tex]

The alternative hypothesis [tex]H_a : \mu \neq25[/tex]

Here, the population standard deviation is unknown. So two tailed test is used.

Here, level of significance = 0.05

Critical value for two tailed test is 2.07

The test statistic t = [tex]\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

                               [tex]=\frac{28.7391 - 25}{\frac{10.0146}{\sqrt{23}}}[/tex]

                               = 1.79

1.79 lies between -2.07 and 2.07

So we fail to reject the null hypothesis

So it can be claimed that population mean is 25.

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The level of production explains 49% of the variation in total costs

What is a regression equation?

For evaluating the associations between a dependent variable and one or more independent variables, a regression equation is a set of statistical procedures.

Here, we have

Given,

A regression equation is set up, where the dependent variable is total costs and the independent variable is production. a correlation coefficient of 0.70.

The coefficient of determination is given as r²

which is 0.7²=0.49.

Hence, the level of production explains 49% of the variation in total costs.

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Complete Question.
A regression equation is set up, where the dependent variable is total costs and the independent variable is production. A correlation coefficient of 0.70 implies that:
A. The coefficient of determination is negative
B. The level of production explains 49% of the variation in total costs
C. There is a slightly inverse relationship between production and total costs
D. A correlation coefficient of 1.30 would produce a regression line with better fit to the data

Answer:You cannot, it is as simplified as it gets

Step-by-step explanation:

Answer:

-8/5

Step-by-step explanation:

hope it helps!

Answer:

6

Step-by-step explanation:

First we take them amount of times jogged around the block as b and the amount of times jogged around the park as p

so 2b + p can be done in 10 minutes

and 2b + 3p can be done in 22 minutes

2b+3p = 22

2b+p =10

if we subtract the equations:

-2p = -12

p = 6 so it takes 6 minutes to jog around the park

Using the elimination method we got the value of x as 3 and the value of y as -4.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

-7x - 2y = -13

  x - 2y = 11  

(-)   (+)     (-)

-7x - x = = -13 - 11

-8x = -24

x = 3

Now,

x - 2y = 11

3 - 2y = 11

3 - 11 = 2y

2y = -8

y = -4

Thus,

The value of x is 3.

The value of y is -4.

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