The following table shows the five-number summary for the number of accounts each sales manager at Force Inc. manages.
Min
Minstart text, M, i, n, end text
�
1
Q
1
​
Q, start subscript, 1, end subscript
Median
Medianstart text, M, e, d, i, a, n, end text
�
3
Q
3
​
Q, start subscript, 3, end subscript
Max
Maxstart text, M, a, x, end text
35
3535
45
4545
50
5050
65
6565
85
8585
About
50
%
50%50, percent of sales managers at Force Inc. manage fewer than what number of accounts?

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

Answer:

$41.6

Step-by-step explanation:

20/100 x 52 = 10.4

52 - 10.4 = 41.6

Answer:

55.56%

Step-by-step explanation:

55/99=.5555555...

.55555...*100=55.555...%

55.56%

Answer:

-3x+6y=42

-3x+6y-42=0

-x+2y-14=0

x-2y+14=0

Answer:

Step-by-step explanation:

Slope intercept form: y = mx + c

-3x + 6y = 42

        6y = 3x + 42

          y = \(\frac{3}{6}x + \frac{42}{6}\)

      y = \(\frac{1}{2}x + 7\)

Answer:

  5.6

Step-by-step explanation:

We assume that 7 is the measure of the portion of the secant that is inside the circle between the circle and the intersection with the other chord.

The product of segment lengths on the same chord is a constant for chords that intersect at the same point. That is, ...

  10x = 8·7

  x = 56/10

  x = 5.6

_____

Comment on the geometry

If you draw the figure to scale, you find the geometry shown is impossible. The arc measures and chord lengths are incompatible.

Answer:

The slope of AB is

different than the

slope of BC.

Step-by-step explanation:

Answer: -5x^2 + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Refer to picture

Calculating sums, we get a result of:

Sum of all digits is:

Considering this in the equation above, we get:

Correct answer is (E) 5

Step-by-step explanation:

6x° = (2x + 3)° + 77° (Exterior angle of a triangle = sum of two interior angle )

6x = 2x + 3 +77

subtract 2x from both sides

6x - 2x = 2x - 2x + 3 + 77

4x = 3 + 77

4x = 80

therefore:

x = 20°

angle PQR = 120°

angle RSQ = 43 i.e [(2 x 20) + 3)]

Answer:

Let x be the measure of the spacing between the bars.

6.25" + 5x = 36"

5x = 29.75"

x = 5.95"

Answer:

They are collinear if they are on the same line

Answer:

B.    The axis of symmetry is x = 1.5 and the vertex is (1.5, 12.75).

Step-by-step explanation:

I will solve the problem by applying the perfect square trinomial. In this way we obtain the canonical form. Another way would be to derive the function, but I don't know if you're familiar with it.

First: let us take out the common factor: , since we remember that the canonical form is characterized as follows:

Then, it remains:

Then: the coefficient of the variable  We divided it between , And we square it (they will be one positive and one negative). In our case:

Let's accommodate terms to make it easier:

Can be written as :

Now, what is underlined is our perfect square trinomial, let us recall its form:

Applying the same principle we are left:

Applying distributive property we get:

Therefore it will have its vertex in:  

The axis of symmetry is a straight line that makes the function to be projected being , for this you need some reference point, for the parabola you need the coordinate in  of the vertex.

For which the axis of symmetry is .

-1.5

...............................................................................................................................................

Answer:

b

Step-by-step explanation:

The algorithm justifies the answer of 3/5 as the fraction each person gets.

Representation of the fractions on the second row:

From what you described, two of the loaves were divided into thirds.

This means each person receives one third, and there is one third remaining. Then, this remaining third from the second loaf was further divided into fifths.

Therefore, each person receives one fifth from this remaining third.

So, the representation of the fractions on the second row would be:

Each person receives 1/3 (one third) from the two loaves.

Each person receives 1/5 (one fifth) from the remaining third.

Algorithm/Abstract strategy to justify the 3/5 found as the answer:

To find the final answer of 3/5, we can follow the steps you provided:

Divide two loaves into thirds, giving each person 1/3.

Divide the remaining third from the second loaf into fifths, giving each person 1/5.

Combining the fractions, each person has 1/3 + 1/5.

To add these fractions, we need to find a common denominator. In this case, the least common multiple (LCM) of 3 and 5 is 15. We can convert 1/3 and 1/5 to have a denominator of 15:

1/3 = 5/15 (multiplying numerator and denominator by 5)

1/5 = 3/15 (multiplying numerator and denominator by 3)

Now, we can add the fractions:

5/15 + 3/15 = 8/15

Therefore, each person receives 8/15 of a loaf.

Simplifying this fraction, we get 3/5.

Hence, the algorithm justifies the answer of 3/5 as the fraction each person gets.

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Answer: UT=18

Step-by-step explanation:

Answer:18

Step-by-step explanation:

It’s divided by 3.5 so divide 63/3.5

The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.

Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.

In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.

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Answer:

c: f(x) = 2(4^x)

Step-by-step explanation:

the table shows that the function is exponential rather than linear.

The best that represents the function shown in the table;

c: f(x) = 2(4^x)

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical.

Thus, the table shows that the function is exponential rather than linear.

We are given the table through which we have to make a function.

The function becomes as;

\(f(x) = 2(4^x)\)

This function shows exponential rather than linear.

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The volume of the solid is 27π cm3.

Using the formula for the volume of a solid of revolution, the solid's volume can be determined.

V = π ∫(y2 - x2)dx

Where y is the height of the cross-sections and x is the radius of the base.

The radius of the base (x) is equal to the height of the cross-sections because the cross-sections are isosceles right triangles with the hypotenuse positioned along the base (y).

Therefore, the equation can be simplified to:

V = π ∫y2 dx

Using the substitution x = y, the equation becomes:

V = π ∫y2 dy

Integrating the equation with respect to y, we get:

V = π [y3/3]

Substituting x = y = 3, we get:

V = π [33/3]

V = 27π cm3

Hence, the volume is 27π cm3.

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Answer: c

Step-by-step explanation:

Answer:

Step-by-step explanation:

its $89,372 i did the math took the test

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

The value of the expression x² + 10x, when x = 2 is 24.

In the expression x² + 10x, x represents a variable, which is a placeholder for a value that can change. We are given that x = 2, which means we substitute 2 for x in the expression:

x² + 10x = 2² + 10(2)

Here, 2² means 2 raised to the power of 2, which is 2 multiplied by itself: 2² = 2 x 2 = 4.

10(2) means 10 multiplied by 2, which is 20.

So we can substitute these values in the expression:

x² + 10x = 2² + 10(2)

= 4 + 20

= 24

Therefore, when x is equal to 2, the value of the expression x² + 10x is 24.

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The complete question:

Evaluate the expression x² + 10x, when x = 2.

Answer:

0,4,8

Step-by-step explanation:

We need to replace x with 1, 2, and 3 one by one in the given equations to find the value of y for each value:

for x = 1

y = 4*1 - 4 and y = 0 in this case

for x = 2

y = 4*2 - 4

y = 8 - 4 and y = 4 in this case

for x = 3

y = 4*3 - 4

y = 12 - 4 and y = 8 in this case

So the answer is

0,4,8

After cοmpleting the task, we can state that The whοle number clοsest tο  expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.

The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.

Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.

√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.

Therefοre, √51 is clοsest tο the whοle number 7.

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Answer:

It would be 36

Explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

108/1 ×1/3

Applying the fractions formula for multiplication,

=108×1/1×3 = 108/3

Simplifying 108/3, the answer is

=36

hope it helped. :)

Answer:

x=0

Step-by-step explanation:

24+2x=3x+2*12

24+2x=3x+24

-24           -24

2x=3x

2x-3x=0

-x=0

x=0

Answer:A

Step-by-step explanation:took it

Answer:

A

Step-by-step explanation:

whole circle pointing right

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

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Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept