Estimate the decimal factors, then multiply to estimate the product. 1. 5.3 rounded to the nearest whole number is ____ . 2. 7.9 rounded to the nearest whole number is ____ . 3. (5.3)(7.9) ≈ ____ .

Answer:

57p

Step-by-step explanation:

so 1 pound is just 1.00 so

1.00-0.43=0.57

so terry will get 57p change

Answer:

[tex] - \frac{13a}{10} [/tex]

Step by step explanation

[tex] \frac{ - 6a}{10} - \frac{7a}{10} \\ [/tex]

Write all numerators above the common denominator:

[tex] \frac{ - 6a - 7a}{10} [/tex]

Collect like terms and simplify:

[tex] \frac{ - 13a}{10} [/tex]

[tex]use \: \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b} \: to \: rewrite \: the \: fraction[/tex]

[tex] - \frac{13a}{10} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

20π in³ or 62.832 in³

Step-by-step explanation:

The surface area for each cake is given by:

[tex]S=\pi r^2+2\pi rh[/tex]

Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:

[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]

If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:

[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]

He needs 20π in³ or 62.832 in³ of frosting.

The equation that represents the line that passes through the points A and C is y = x + 1

A linear equation is an equation that has a constant rate or slope, and is represented by a straight line

The points are given as:

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

Calculate the slope, m using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

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

Evaluate

m = 1

The equation is then calculated as:

y = m *(x - x1) + y1

So, we have:

y = 1 * (x - 2) + 3

Evaluate

y = x - 2 + 3

This gives

y = x + 1

Hence, the equation that represents the line that passes through the points A and C is y = x + 1

Read more about linear equations at:

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Answer:

y = x + 1

Step-by-step explanation:

Edge2020

Answer:

3

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

The function starts from the bottom of quadrant 3: Starts lower left

and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT

and then through the y-axis at (0, 2). : It's now on the 2nd quartile

It then starts to curve down at (0.5, 4): It's moving towards y=0

until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS

It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

Answer:

The first for the graph is crosses and then it is touches for the second.

Step-by-step explanation:

Answer:

C. -3/2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

We know that line m is perpendicular to line l.

Line l has a slope of 2/3. To find the slope of line m, find the negative reciprocal of 2/3.

Negative: switch the sign

2/3 --> -2/3

Reciprocal: switch the numerator (top number) and denominator (bottom number)

-2/3 --> -3/2

Line m has a slope of -3/2 and C is correct.

Answer:

C

Step-by-step explanation:

perpendicular lines have negative reciprocal slope

Answer:(x+1)(x+2)(x-3)

Because..

Answer:

A

Step-by-step explanation:

7x² - 4x - 8 - [ -3x² - 3x - 3]

In subtraction, flip the sign of all terms in the minuend

   7x² - 4x - 8

  3x² + 3x + 3

   4x² - x - 5

Answer:

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(920≤ x≤1730) = 0.7078

Step-by-step explanation:

Step(i):-

Given mean of the Population = 1100 lbs

Standard deviation of the Population = 300 lbs

Let 'X' be the random variable in Normal distribution

Let x₁ = 920

[tex]Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6[/tex]

Let x₂ = 1730

[tex]Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1[/tex]

Step(ii)

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)

                  = P(-0.6 ≤Z≤2.1)

                  = P(Z≤2.1) - P(Z≤-0.6)

                 = 0.5 + A(2.1) - (0.5 - A(-0.6)

                 =  A(2.1) +A(0.6)               (∵A(-0.6) = A(0.6)

                 =  0.4821 + 0.2257

                 = 0.7078

Conclusion:-

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

            P(920≤ x≤1730) = 0.7078

Answer:

0.7975

Step-by-step explanation:

Answer:

The answer is option D.

3u + 1 + 7y

All the terms here are different and cannot be combined

Hope this helps you

Answer:

The Value of X is 10

Step-by-step explanation:

By Pythagoras Theorem,

a^2 + b^2 = x^2

Therefore,

8^2 + 6^2 = x^2

64+36 = x^2

100 = x^2

therefore x is  10.

Hope It Helps :)

Answer:

the answer is 10

Step-by-step explanation:

so 5 times 5 is 25

and

8 times 8 is 64

and

add them up is 89

and then square root that which is 9.43398113206

round that which is 10

Answer:

410 bagels

Step-by-step explanation:

If the weights of the moving averages are 0.6, 0.3, 0.1. We will determine the forecast for week 8 using week seven's sales with a 0.6 weight, week six's sales with a 0.3 weight, and week five's sales with a 0.1 weight:

[tex]S_8=0.6S_7+0.3S_6+0.1S_5\\S_8=0.6*400+0.3*430+0.1*410\\S_8=410\ bagels[/tex]

The forecast for week 8 is 410 bagels.

Answer:

Five

Step-by-step explanation:

Pivot columns are said to be columns where pivot exist and a pivot exist in the first nonzero entry of each row in a matrix that is in a shape resulting from a Gaussian elimination.

Suppose A = 5 × 7 matrix

So; if A columns span set of real numbers R⁵

The number of pivot columns that A must have must be present in each row. In a  5 × 7 matrix ; we have 5 rows and 7 columns . So , since A must be present in each row, then :

The matrix must have five pivot columns and we can infer that about  the statements that "A has a pivot position in every row"  and "the columns of A spans R⁵" are logically equivalent.

Answer:

a. A completely randomized design experiment

Step-by-step Explanation:

An experiment that is completely randomised is practically an effective way of controlling and reducing the influence of the confounding variables in a research study, especially when you have a sample that is large enough.

Randomisation will ensure that both the group that will wear the new shoe (treatment group) and the group that will not wear the new shoe (control group) will have averagely the same values for age and height. This will eliminate the chances of these confounding variables of correlating with the independent variable in the study, as there would be no difference, in terms of characteristics, between both groups.

Answer:

Step-by-step explanation:

We khow that the volume of a prism the product of the base and the height

We have a hole inside it so we must khow what is the geometrical form of this whole to calculate its volum then substract from the total volume

Sample Answer:

I found the volume of the large rectangular prism. Then I found the volume of the small rectangular prism. I subtracted the volume of the smaller prism from the volume of the larger prism.

Answer:

16

Step-by-step explanation:

Answer:

AD = 23

Step-by-step explanation:

Answer: A ,C,G and H are correct statements. Look into the step by step for more understanding.

Step-by-step explanation:

To solve for this problem let's find the actually numbers.

so we know that c + d=58  and also c= 1/2d-8  

We have two systems of equations

c+d = 58

c= 1/2d - 8  

Solve for c   by substitution.  Substitute the second equation into the first one.

1/2d -8 + d = 58   Add 8 to both sides

1/2 +d = 66

3/2d =66     Divide both sides by 3/2

d=44  Now we  know the d which is the second number is 44  so subtract it from 58 to find the first number.

58 - 44 = 14  

we will represent the statements by letters from A going.

A. The equation c + d = 58 represents the sum of the two numbers

B. The equation c+d=58 represents the sentence "The first number is 8 less than half the second number."

C.The equation c= 1/2d -8 represents the relationship between the two numbers.

D. The equation  c= 1/2d - 8 represents the sum of the two numbers.

E. The number d is 14.

F. The number c  is 44.

G. The number c is 14.

H. The number  d is 44.  

Now looking at the statements, A ,C,G and H are all correct.

Answer:

A,B,G,H

Step-by-step explanation:

Took test on edge

Answer:

The right answer is the first one, 6,245.

Step-by-step explanation:

[tex]EG^2=DG*GF \\ EG^2 = ab\\ EG^2 = 3*13\\ EG^2=39\\ EG=\sqrt{39}[/tex]

[tex]\sqrt{39} = 6,2449... = 6,245[/tex]

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▹ Answer

0.5 = 1/2 and the rectangle with 3 cubes shaded in

0.6 = 60/100 and circle with three parts shaded in

0.8 = Rectangle with 8 cubes shaded and 4/5

▹ Step-by-Step Explanation

You can convert the fractions into decimals, and count the shaded parts for the shaded images.

Hope this helps!

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Brainliest is greatly appreciated!

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Answer:

The answer is

Step-by-step explanation:

f(x) = 2x² + 1

g(x) = 3x - 5

To find f - g(x) subtract g(x) from f(x)

That's

f-g(x) = 2x² + 1 - (3x - 5)

= 2x² + 1 - 3x + 5

= 2x² - 3x + 6

Hope this helps you

If the equation is

[tex]7\sin^2x-14\sin x+2=-5[/tex]

then rewrite the equation as

[tex]7\sin^2x-14\sin x+7=0[/tex]

Divide boths sides by 7:

[tex]\sin^2x-2\sin x+1=0[/tex]

Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as

[tex](\sin x-1)^2=0[/tex]

Now solve for x :

[tex]\sin x-1=0[/tex]

[tex]\sin x=1[/tex]

[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]

where n is any integer.

If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...

Answer:

Option I and II

Step-by-step explanation:

I. Assuming this represents a random sample from the population, the sample mean is an unbiased estimator of the population mean.

II. Because they're robust, t procedures are justified in this case.

The t procedures are utilized because they are used as a hypothesis testing tool, which allows for testing of an hypothesis applicable to a population where in this case we are testing the null hypothesis about the population mean.

Answer:

6.53% probability that there will be exactly 8 cracks in a 500 ft length of pavement

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Poisson distribution with a mean of 1 crack per 100 ft.

So [tex]\mu = \frac{ft}{100}[/tex], in which ft is the length of the pavement.

What is the probability that there will be exactly 8 cracks in a 500 ft length of pavement

500ft, so [tex]\mu = \frac{500}{100} = 5[/tex]

This is P(X = 8).

[tex]P(X = 8) = \frac{e^{-5}*5^{8}}{(8)!} = 0.0653[/tex]

6.53% probability that there will be exactly 8 cracks in a 500 ft length of pavement

Answer:

16 shirts = GH¢256

Step-by-step explanation:

If 5 shirts cost GH¢80​

Let's determine the price of 16 shirts by cross multiplying the values

This method of evaluating answers is one of the essential methods .

It's just Making sure that the values within each side of the wall to symbol crosses each other.

But one shirt = GH¢80​/5

one shirt = GH¢16

So

5 shirts= GH¢80​

16 shirts = (16 shirts * GH¢80​)/5 shirts

16 shirts = GH¢1280/5

16 shirts = GGH256

Answer:

Mean = 3.12, Variance = 3.324, Standard deviation = 1.8232

Step-by-step explanation:

Total number of students = 10 students.

Given data, 1.1, 5.2, 3.6, 5.0, 4.8, 1.8, 2.2, 5.2, 1.5, 0.8

To find the mean, at first we have to take the sum of all given data and then divide with the number of students.

Let the data is X, = 1.1, + 5.2, + 3.6, + 5.0, + 4.8, + 1.8, + 2.2, + 5.2, + 1.5, + 0.8 = 31.2

Mean = 31.2 / 10 = 3.12

[tex]\text{Standard deviation, S} = \sqrt{\frac{\sum x^{2} - \left [ (\sum x)^{2}/n \right ]}{n-1}} \\S = 1.8232 \\\rm The \ Variance = S^{2} = 3.324[/tex]

Answer:

180 fb*lb

45 ft*lb

Step-by-step explanation:

We have that the work is equal to:

W = F * d

but when the force is constant and in this case, it is changing.

 therefore it would be:

[tex]W = \int\limits^b_ a {F(x)} \, dx[/tex]

Where a = 0 and b = 30.

F (x) = 0.4 * x

Therefore, we replace and we would be left with:

[tex]W = \int\limits^b_a {0.4*x} \, dx[/tex]

We integrate and we have:

W = 0.4 / 2 * x ^ 2

W = 0.2 * (x ^ 2) from 0 to 30, we replace:

W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)

W = 180 ft * lb

Now in the second part it is the same, but the integral would be from 0 to 15.

we replace:

W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)

W = 45 ft * lb

Following are the calculation to the given value:

Given:

[tex]length= 30 \ ft\\\\mass= 0.4 \ \frac{lb}{ft}\\\\edge= 80 \ ft \\\\[/tex]

To find:

work=?

Solution:

Using formula:

[tex]\to W=fd[/tex]

[tex]\to W=\int^{30}_{0} 0.4 \ x\ dx\\\\[/tex]

[tex]= [0.4 \ \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{4}{10} \times \frac{x^2}{2}]^{30}_{0} \\\\= [\frac{2}{10} \times x^2]^{30}_{0} \\\\= [\frac{1}{5} \times x^2]^{30}_{0} \\\\= [\frac{x^2}{5}]^{30}_{0} \\\\= [\frac{30^2}{5}- 0] \\\\= [\frac{900}{5}] \\\\=180[/tex]

Therefore, the final answer is "[tex]180\ \frac{ lb}{ft}[/tex]".

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Answer:

C. -2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply use 2 xy values and plug them into the formula:

m = (-4 - 0)/(5 - 3)

m = -4/2

m = -2

Answer:

-2

Step-by-step explanation:

Since we have two points we can use the slope formula

m = (y2-y1)/(x2-x1)

  = (10-6)/(-2-0)

  =4/-2

  -2