A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon is given by Upper C prime (x )equalsnegative 0.00001 x squared minus 0.02 x plus 58 for x less than or equals 1600​, where Upper C prime (x )is in cents. Approximate the total cost of manufacturing 1600 yards of​ ribbon, using 5 subintervals over [0 comma 1600 ]and the left endpoint of each subinterval.

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An oblique pyramid is one that has a top not aligned with the base. Due to this, the height of the pyramid connects with two vertices at its ends to form a right angle present outside the pyramid, knowing that it is always perpendicular to the base. There is no difference between the calculations of the volume of an oblique pyramid and a pyramid however -

[tex]\\Base Area = 2 cm * 2 cm = 4 cm^2,\\Volume ( Pyramid ) = 1 / 3 * ( Base Area ) * ( Height ),\\Volume = 1 / 3 * ( 4 ) * ( 3.75 ),\\-------------------------\\Volume = 5 cm^3[/tex]

And thus, you're solution is 5 cm^3, or in other words option b!

Answer:

The answer is B

Step-by-step explanation:

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

Answer:

hope u get it.......!!

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

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Answer:

y = x + 1

Step-by-step explanation:

Edge2020

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:

Presumably the first graph solely based on its shape.

Graph A is showing the exponential function. Then the correct option is A.

The mathematical expression f(x)= [tex]e^x[/tex] denotes the exponential function. The term typically refers to the positive-valued function of a real variable, unless otherwise specified.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. In graph A we can see that the values are varying exponentially from the second quadrant to the first quadrant.

Hence, the correct option is A.

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Answer:

Length of the arc LM = 15.7 cm

Step-by-step explanation:

To determine the length of the arc LM we have to find the circumference of the the big circle then divide by the ratio of the angle or go straight to use the radians as the angle and look for the length.

Radius= 30cm

π= 3.142

Value of the angle is in radians

360° = 2π

π = 180

π/6 = 180/6

π/6= 30

Value of the angle is 30°

Length of the arc = 2πr * 30/360

Length of the arc = 2πr/12

Length of the arc = πr/6

Length of the arc = 30π/6

Length of the arc =5π

Length of the arc = 5*3.142

Length of the arc = 15.71

Approximately Length of the arc

= 15.7cm

Answer:

B. 15.7cm

Step-by-step explanation:

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:

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:

C. c = (xv - x) / (v - 1).

Step-by-step explanation:

v = (x + c) / (x - c)

(x - c) * v = x + c

vx - vc = x + c

-vc - c = x - vx

vc + c = -x + vx

c(v + 1) = -x + vx

c = (-x + vx) / (v + 1)

c = (-x + xv) / (v + 1)

c = (xv - x) / (v + 1)

So, the answer should be C. c = (xv - x) / (v + 1).

Hope this helps!

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:

$42.10

Step-by-step explanation:

Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.

Answer:

44.44

Step-by-step explanation:

800 didvided by 18.

Answer:

(A)4 + 4 + 4 = 12

Step-by-step explanation:

Each of Nika's cake needed 17/4 cups of flour. Now, we know that:

[tex]\dfrac{17}{4}=4.25 \approx 4[/tex]

Therefore, for three loaves of bread, the best estimate of the number of cups of flour Nika used is:

4 + 4 + 4 = 12

The correct option is A.

Answer:

The correct answer is A.)4 + 4 + 4 = 12

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

Answer: 6

Step-by-step explanation:

A=bh plus 120 for A and 20 for B

120=20b

/20 divide by 20 each side

H=6

Answer:

Step-by-step explanation:

The diagonal of the parallelogram ABCD divides it into 2 equal triangles. Considering triangle ABC, it means that the area of the parallelogram would be

2 × area of triangle ABC

Writing the vertices of triangle ABC,

A(−1,3,3), B(0,5,7), C(1,2,6)

We would determine the length of each side of the triangle.

AB = √(0 - - 1)² + (5 - 3)² + (7 - 3)^2

AB = √(1 + 4 + 16) = √21

BC = √(1 - 0)² + (2 - 5)² + (6 - 7)²

BC = √(1 + 9 + 1) = √11

AC = √(1 - - 1)² + (2 - 3)² + (6 - 3)²)

AC = √(4 + 1 + 9) = √14

We would apply the heron's formula for determining the area of a triangle

Area = √s(s - a)(s - b)(s - c)

Where

s = (a + b + c)/2

a = AB, b = BC, c = AC

s = (√21 + √11 + √14)/2 = 5.82

s - a = 5.82 - √21 = 1.24

s - b = 5.82 - √11 = 2.5

s - c = 5.82 - √14 = 2.08

Area = √(5.82 × 1.24 × 2.5 × 2.08) = 6.126

Therefore, area of parallelogram ABCD is

6.126 × 2 = 12.252

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.

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:

Step-by-step explanation:

f(x)=-x+4

f(-2)=-(-2)+4

f(-2)=+2+4

f(-2)=6

Answer:

6

Step-by-step explanation:

-(-2)+4=___

+(+2)+4=6

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:

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

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

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:

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:

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]

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

Because..