A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of
machines made. If x machines are made, then the unit cost is given by the function C(x)=x²-680x+127,958. How many machines must be made to
minimize the unit cost?
Do not round your answer.
Number of X-ray machines:
X
5

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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Answer:

infinity

Step-by-step explanation:

Given the function

Limit b⇒0 (Sin b)/b³

First substitute the value of b into the function to have

Limit b⇒0 (Sin b)/b³

= sin 0/0³

= 0/0 (Ind)

Apply lhospital rule

Limit b⇒0 (d./db(Sin b))/(d/db(b³))

=>Limit b⇒0 (cos b)/3b²

Substitute the value of b

Cos 0/3(0)²

= 1/0

= infinity

Hence the answer is infinity

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

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Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

Answer:

\(Total = \$6545\)

Step-by-step explanation:

Given

\(Base = 17ft\)

\(Height = 22ft\)

\(Slant\ Height = 32ft\)

\(Cost = \$35\) per square ft

Required

Determine the expected spending

First, calculate the area of the pool.

\(Area = \frac{1}{2} * Base * Height\)

\(Area = \frac{1}{2} * 17ft * 22ft\)

\(Area = 17ft * 11ft\)

\(Area = 187ft^s\)

The total cost is:

\(Total = Cost * Area\)

\(Total = 35 * 187\)

\(Total = \$6545\)

The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2

To solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:

8x²(x² - 4) = 0

Now we can use the difference of squares identity to factor the quadratic expression:

8x²(x + 2)(x - 2) = 0

Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.

Therefore, we can set each factor equal to zero and solve for x:

8x² = 0 or x + 2 = 0 or x - 2 = 0

Solving for x, we get:

x = 0 or x = -2 or x = 2

So the solution set for the equation is {0, -2, 2}.

To check the solution, we can substitute each value into the original equation and verify that it equals zero.

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Answer:

802,000

Step-by-step explanation:

802,000

Since there is a 5 in the hundreds place, the 1 in the thousands place rounds up to a 2.

Answer:

802,000

Step-by-step explanation:

Because round to the nearest 1,000 and and 802,000 is the nearest.

Answer:

answer D

Step-by-step explanation:

The correct statement about the graph function f(x) = log₂x is; The graph has an asymptote of x = 0 and is negative over the interval (0, 1).

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given is a function f(x) = log₂x, we need to select the correct statement from the options,

We are given the function;

f(x) = log₂x

Now, at f(0), we have;

f(x) =  log₂(0)

f(x) = log 0/log 2

f(x) = -∞/0.3010

Thus, since the value is infinity, then we can say that a straight line constantly approaches the curve but does not meet at any infinite distance and as such there is an asymptote at x = 0 and it is negative over the interval (0, 1).

Hence, the correct statement about the graph function f(x) = log₂x is; The graph has an asymptote of x = 0 and is negative over the interval (0, 1).

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The complete question is -

Which statement is true about the graph function f? f(x)=log2x

A. The graph has an asymptote of  x = 0 and is positive over the interval (0, 1).

B. The graph has an asymptote of x = 0 and is negative over the interval (0, 1).

C. The graph has an asymptote of y = 0 and is decreasing as x approaches positive infinity.

D. The graph has an asymptote of y = 0 and is increasing as x approaches positive infinity.

Answer:

its 100 ez bro

Step-by-step explanation:

Answer: 100 balloons

Step-by-step explanation:

because it is 100 balloons

Answer:

Step-by-step explanation:

6.7578 *x = 13 divide both sides by 6.7578

\(\frac{6.7578}{6.7578} *x = \frac{13}{6.7578}\)

x= 1.923

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

x = 21

Step-by-step explanation:

simplify both of the sides and take out the variable

Answer:

x = 21

Step-by-step explanation:

x/3 = 15 - 8

x/3 = 7

x = 7x3 = 21

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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A

Step-by-step explanation:

just trust me that is the correct answer

Answer:

$.27

Step-by-step explanation:

300 centimeters = 3 meters

.09 * 3 = .27

Answer:

.27

Step-by-step explanation:

300 = 3 meters

0.09 x 300 = 27

Answer:

\(6i\sqrt{2}\)

Step-by-step explanation:

Given expression:

\(\sqrt{-72}\)

Rewrite -72 as the product of 6 · -1 · 2:

\(\implies \sqrt{36 \cdot -1 \cdot 2}\)

Apply the radical rule  \(\sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies \sqrt{36} \sqrt{-1} \sqrt{2}\)

Carry out the square root of 36:

\(\implies 6\sqrt{-1}\sqrt{2}\)

Apply the imaginary number rule \(\sqrt{-1}=i\) :

\(\implies 6i\sqrt{2}\)

Answer:

35.5cm^2

Step-by-step explanation:

I believe we're talking about a rectangular. So it would be length * width or 7.5cm * 5cm = 35.5cm^2

The ratio of football to total equipment is 3/ 7

Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.

It explains how many times one number contains another.

From the diagram shown, we have:

Ratio of football to total equipment is;

= 6/ 6 + 2 + 6

= 6/ 14

Find common divisor

= 3/ 7

Thus, the ratio of football to total equipment is 3/ 7

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Answer:

Step-by-step explanation:

The length in feet of the longest part of the garden would be = 6ft

A garden is defined as an area that is prepared and set aside for the purpose of growing various flowers, shrubs and grasses.

The area of the given triangle = 54in²

The perimeter of the given triangle = 36 in.

Using the formula for area of a triangle ;

Area = ½ base(b) ×height(h)

where base = 9 in

54 = 1/2 × 9 × h

Make h the subject of formula;

h = 54×2/9

h = 108/9

h = 12

But the perimeter = sum of the whole sides of the triangle

perimeter = 36

side a = 9

side b = 12

side c = X

that is , 36 = 9+12+X

make X the subject of formula;

X = 36-21

X = 15in

Therefore, 15 in when converted to feet;

2 ft = 5 in

X ft = 15 in

xft = 2 × 15/5

X ft = 30/5

X ft = 6ft

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The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Midpoint : (6,1)

Point A : (4,8)

Point B (xb,by)

Midpoint (xm, my)=( x1+x2) /2 , ( y1+y2)/2

So:

xm= 6 = (4+xb) /2

6 = (4+xb) /2

Solve for xb

6 x 2 = 4+ xb

12 = 4+xb

12-4 = xb

8 = xb

For Yb:

my= 1 = (8+yb) /2

1 = (8+yb) /2

Solve for yb

1(2) = 8+yb

2 = 8+ yb

2-8 = yb

-6 = yb

Coordinate of B = (xb,yb) = (8,-6)

Answer:

For 2 loaves of bread, 4 cups of flour, 24 tablespoons of water, and 2 teaspoons of salt are required

For 4 loaves of bread,  8 cups of flour, 48 tablespoons of water, and 4 teaspoons of salt are required

Step-by-step explanation:

Given: A recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

To find: the missing terms in the box

Solution:

As for 1 loaf of bread, 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt are required

So, for 2 loaves of bread, double the quantity.

So, for 2 loaves of bread, 2×2=4 cups of flour, 12×2=24 tablespoons of water, and 1×2=2 teaspoons of salt are required

For 4 loaves of bread, double the quantity used to make 2 loaves of bread.

For 4 loaves of bread,  4×2=8 cups of flour, 24×2=48 tablespoons of water, and 2×2=4 teaspoons of salt are required

See the image attached.

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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The domain is all real numbers, and the range is (y ≤ -4.855). (option b)

To sketch the graph of a quadratic equation, you can use a graphing calculator, which is a handy tool that can produce a visual representation of the equation. For instance, let's take the quadratic equation y = -0.5x² + 0.7x - 5.1 and sketch its graph using a graphing calculator.

When we enter this equation into the graphing calculator, we can see a U-shaped curve that is symmetric about the vertical line passing through the vertex. The vertex is the point where the parabola changes direction and is given by the formula x = -b/2a, y = f(x), where f(x) is the value of y at the vertex.

Now let's examine the given options and determine their domain and range based on the graph of the quadratic equation.

all real numbers, R: (y ≤ -4.855)

For this option, we can observe that the parabola opens upward, and the vertex is at (0.7, -5.35).

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The answer is 6

If you divide 18 by 3 it's 6

Here we have a dilation of scale factor 2.

We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.

To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:

L' = K*L

Here if we use the left sides, we will get:

for figure A; L= 2

for figure B: L = 4

4 = K*2

4/2 = K

2 = K

So this is a dilation of scale factor k = 2.

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Answer:

4. Between 11:30 and 12:00, they did nothing. The graph didn't go up or down, it just stayed the same meaning they did nothing.

5. 5 miles an hour

Step-by-step explanation: