What percent of 174 is 562 Round to the nearest tenth, if
necessary.

Answer:

s = 3.238√f

Step-by-step explanation:

The only way this question can be solved is in terms of r because its value is not given.

Given that

s = 3.87√rf

f = 0.7

Required

Find s

Substitute 0.7 for f

s = 3.87 * √(0.7 * f)

Split square root

s = 3.87 * √0.7 * √f

s = 3.87 * 0.837 * √f

s = 3.238√f

This is as far as it can be solved.

Substitute whatever the value of f is, to get your complete answer

Excel's expon.dist function can be used to calculate d.both exponential and cumulative exponential probabilities

Excel's expon.dist function can be used to compute both exponential and cumulative exponential probabilities. The expon.dist function is an Excel statistical function that returns the probability of an exponential distribution, given a specified set of parameters. The function takes two arguments: x and lambda. X is the value for which the probability is calculated, and lambda is the rate parameter for the exponential distribution. The function returns the probability that a value in an exponential distribution will be less than or equal to x. The cumulative probability is calculated as the integral of the probability density function over the interval from 0 to x. This means that the expon.dist function can be used to calculate the probability that a given event will occur in a certain amount of time, given the rate at which events occur. The function is useful for a variety of applications, including finance, engineering, and science.

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The value for each conversion is: 12,000 g = 12 kg 120 cm = 1200 mm 2 L = 2000 mL 1,200 cm = 12 m 0.12 m = 120 mm.

Here are the completed conversions using the provided numbers:

1. 12,000 g = 12 kg (To convert grams to kilograms, divide by 1,000)

2. 120 cm = 1,200 mm (To convert centimeters to millimeters, multiply by 10)

3. 1.2 L = 1,200 mL (To convert liters to milliliters, multiply by 1,000)

4. 1,200 cm = 12 m (To convert centimeters to meters, divide by 100)

5. 0.12 m = 120 mm (To convert meters to millimeters, multiply by 1,000)

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Answer:

b+5≤-24. Hope this helps:)

Step-by-step explanation:

Answer:

this angle is 90°.

5x°+55°=90°

5x=90°-55°

5x=35°

x=35/5

x=7

I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.

The equation of each graph from left to right in slope intercept form is

y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.

Given the volume of the sphere as 26667 cm³, we calculated the radius to be approximately 17.7 cm using the formula for the volume of a sphere. By multiplying the radius by 2, we found that the diameter of the sphere is approximately 35.4 cm.

To calculate the diameter of a sphere when given its volume, we can use the formula for the volume of a sphere:

V = (4/3) * π * r³

Where V is the volume and r is the radius of the sphere. Since we are given the volume, we can rearrange the formula to solve for the radius:

r = (\(\sqrt[3]{(3V / (4\pi )}\)))

Substituting the given volume V = 26667 cm³ into the formula, we have:

r = (\(\sqrt[3]{(3 * 26667 / (4\pi )))}\)

Calculating this expression, we find:

r ≈ (\(\sqrt[3]{80001 / \pi ))}\) ≈ 17.7 cm

Now that we have the radius, we can calculate the diameter by multiplying the radius by 2:

d = 2 * r ≈ 2 * 17.7 ≈ 35.4 cm

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Axis interception points of \($\frac{1}{2} x+6: \quad X$\) Intercepts: \($(-12,0)$\), Y Intercepts: \($(0,6)$\).

x- axis interception points of {1}/{2} x+6: (-12,0)

y-axis interception point of {1}/{2} x+6: (0,6)

X Intercepts: (-12,0), y-Intercepts: (0,6)

Slope of \($\frac{1}{2} x+6: \quad m=\frac{1}{2}$\)

\($\frac{1}{2} x+6$\)

For a line equation for the form of \($y=m x+b$\), the slope is m

\(m=\frac{1}{2}$$\)

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes. The line that forms a right triangle with the coordinate axes and whose sides have lengths of 'a' units and 'b' units, respectively, is the intercept form of the equation of the line.

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The graph of the line is attached below.

Since the x and y values in a straight line graph have a linear relationship, the line must be drawn with a ruler to be straight. The y-intercept reveals the point where the straight line crosses the y-axis, and the gradient defines how steep the line is.

Let us consider the points through which the graph of the line passes.

at x = 0 , y = 6

at y =0 ,  x = -12

Hence the line passes through the points (0,6) and (-12 , 0)

These two points are the two intercepts of the line of the graph.

at x=2 ,  y = 7 . Hence the line also passes through (2,7) as implemented in the graph below.

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Answer:

The answer is D

Step-by-step explanation:

Greetings from Brasil...

We need to use the Cosine Law in Any Triangle, so we can use Heron's formula.

AC² = AB² + BC² - 2.AB.BC.COS B

AC² = 11² + 9² - 2.11.9.COS 63

AC ≈ 10,63

Heron's Formula:

Area = √[P.(P - AB).(P - BC).(P - AC)]

where P = (AB + BC + AC)/2

P = (11 + 9 + 10,63)/2 ⇒ P ≈ 15,31

Area = √[15,31.(15,31 - 11).(15,31 - 9).(15,31 - 10,63)]

Answer:

112cm square/sec

Step-by-step explanation:

Area of a square is expressed as A = L² where L is the length of one side of the square.

The rate of change of area will be expressed  using chain rule as;

dA/dt = dA/dL * dL/dt where;

dL/dt is the rate at which the side length of the square is decreasing.

Given L = 7cm, dL/dt = 8cm/sec and dA/dL = 2L

dA/dL = 2(7)

dA/dL = 14cm

Substituting the given value into the chain rule expression above to get the rate of change of the area of the square, we will have;

dA/dt = dA/dL * dL/dt

dA/dt = 14cm * 8cm/sec

dA/dt = 112cm²/sec

Hence, the rate of change of the area of the square when the side length is 7 cm is 112cm²/sec

Answer:

1/2

Step-by-step explanation:

Point Form:

(

3

4

,

−

2

,

1

2

)

Equation Form:

x

=

3

4

,

y

=

−

2

,

z

=

1

2

The values of x that satisfy rank(A)=2 are x = -9/10 and all values except x = -9/10. To find all values of x so that rank(A) = 2, we first need to perform row reduction on matrix A:

A = ⎡⎢⎣−210701x910−31⎤⎥⎦
Begin by swapping the first and second rows:
A = ⎡⎢⎣7101x−210−31⎤⎥⎦
Now, divide the first row by 7:
A = ⎡⎢⎣101x/7−3/107/103/10−31⎤⎥⎦
Next, add 2 times the first row to the second row:
A = ⎡⎢⎣101x/7−3/1003/10 + 2x/7−1⎤⎥⎦
In order for rank(A) to be 2, the second row cannot be a multiple of the first row. Thus, the coefficients of x in the second row must not be a multiple of the first-row coefficients.
3/10 + 2x/7 ≠ k(x/7), where k is any scalar multiple.
Multiplying both sides by 70 to eliminate fractions, we get:
21 + 20x ≠ 10kx
Rearrange the equation:
20x - 10kx ≠ -21
Factor out x:
x(20 - 10k) ≠ -21
For the rank to be 2, x cannot be equal to -21/(20 - 10k) for any integer k.
So, the values of x that make rank(A) = 2 are all real numbers except -21/(20 - 10k), where k is any integer.

To find all values of x so that rank(A)=2, we need to perform row operations on matrix A to bring it to reduced row echelon form and count the number of non-zero rows. If the number of non-zero rows is 2, then the rank of A is 2.
Starting with matrix A:
⎡-2  1  0⎤
⎢ 0 -7  1⎥
⎣ 0  9 10x⎦
Performing row operations:
R2 -> R2 + 3/2 R1
R3 -> R3 + 9/2 R1
⎡-2  1    0   ⎤
⎢ 0 -7    1   ⎥
⎣ 0  0  10x+9 ⎦
Now we have three possible cases:
1. If 10x+9 = 0, then the third row is all zeros and the rank of A is 2. Solving for x, we get:
10x+9 = 0
10x = -9
x = -9/10
2. If 10x+9 ≠ 0 and x ≠ -9/10, then the third row is non-zero and the rank of A is 3.
3. If 10x+9 ≠ 0 and x = -9/10, then the third row becomes all zeros and the rank of A is 2.
Therefore, the values of x that satisfy rank(A)=2 are x = -9/10 and all values except x = -9/10.

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The best order of integration for the given double integral is integrating with respect to y first and then with respect to x. The result of the integral will be 60xy.

The given double integral is 60x. To determine the best order of integration, we need to evaluate the integral using both the row-first order and the column-first order and compare the results.

Let's first consider integrating with respect to x first and then with respect to y. The limits of integration for x will depend on the outer integral with respect to y. Since there is no information provided about the limits of integration, we cannot proceed with this order.

Now, let's consider integrating with respect to y first and then with respect to x. The limits of integration for y will depend on the outer integral with respect to x. However, since the given function is 60x, the integral with respect to y will yield 60x times the integral of 1 with respect to y, which simplifies to 60xy.

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Answer: 72.32

Step-by-step explanation:

The line is 180 so

7x + 8x + 44.4 = 180

15x + 44.4 = 180

-44.4         =  -44.4

15x = 135.6

divide both by 15

x = 9.04

So 8 * 9.04 = 72.32

Answer:

The answer is 72.32°

Step-by-step explanation:

So, since that is a straight line, we know that all of the angles add up to get 180° total. Using this knowledge, we can determine that 44.4 + 8x + 7x = 180°.

First, we need to find what x is to find the missing values. To do that, we have to set all the values, 44.4, 8x, and 7x equal to 180, because we know they add up to 180°.

44.4 + 8x + 7x = 180

Combine the like terms.

44.4 + 15x = 180

Bring the 44.4 over to the other side in order to get x alone by subtracting it from 180.

15x = 135.6

Divide both sides by 15 to get x completely alone.

x = 9.07

Now we have what x is, 9.07.

All you need to do now is substitute 9.07 into the place of x.

8(9.07) = 72.32

So now you know that the highlighted angle is 72.32°.

Answer: Use the distance formula to find the length of each side, and then add the lengths.

Step-by-step explanation:

To find the perimeter of this quadrilateral with known vertices: Use the distance formula to find the length of each side, and then add the lengths.

The distance between two points is the length of the line joining the two points. Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.

Here, we have,

Mathematically, the distance between points on a coordinate plane is given by this formula:

Formula: distance= √(x_2-x_1)²+(y_2-y_1)²

Where:

x and y are the vertices (points) on a coordinate plane.

Therefore, when the distance formula has been used to determine the length of of each side of the quadrilateral. You should then add the lengths of each side together.

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Answer: on the y axis it should be on 2 and the next one could be the following ((1,3), (2,4), (3,5)) your choice

Step-by-step explanation:

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The measure of angle 3 is 115°

The interval notation for all real numbers between and including -1 and 8 is [-1, 8].

In interval notation, we use brackets to indicate whether the endpoints are included or excluded from the interval. The square brackets [ ] denote that the endpoints are included in the interval. In this case, we want to include both -1 and 8, so we use square brackets for both.

The interval is written in the form [a, b], where a represents the lower bound or starting point, and b represents the upper bound or ending point of the interval. In this case, the lower bound is -1 and the upper bound is 8. The comma separates the lower and upper bounds. It indicates that the numbers between -1 and 8, as well as -1 and 8 themselves, are included in the interval.

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Answer:

10 square units.

Step-by-step explanation:

It is given that triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units.

Height of triangle = 4 units

Base of triangle = 5 units

We need to find the area of triangle.

Area of triangle \(=\dfrac{1}{2}\times base \times height\)

Substitute base = 5 and height = 4 in the above formula.

Area of triangle \(=\dfrac{1}{2}\times 5\times 4\)

Area of triangle \(=\dfrac{20}{2}\)

Area of triangle \(=10\)

Therefore, the area of triangle ABC is 10 square units.

Answer:

9

Step-by-step explanation:

The investment amount that the bank president should make in the bonds so that the total earnings from the two investments will be at least $80,000 is $132,000.

The earnings from the second investment are the difference between the total expected earnings and the first investment's earnings.

Using the above difference obtained by subtraction, the investment amount is computed by dividing the difference by the annual interest rate.

The total earnings from the two investments ≥ $80,000

The profits from one investment = $47,000

The earnings from the second investment should be ≥ $33,000 ($80,000 - $47,000)

The annual interest rate on municipal bonds = 25%

The investment amount = $132,000 ($33,000 ÷ 25%)

Thus, if $132,000 were invested in municipal bonds at 25% interest, its annual earnings would be $33,000.

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Answer:

K = 180 - 45 = 135

J = 180  - 92 =88

Step-by-step explanation:

K = 180 - 45 = 135

J = 180  - 92 =88

72, 2-ounce servings can be made to serve with buffalo wings.

Given that 6 bunches of celery each weighs 2 pounds. We have to find out how many 2-ounce servings can be made to serve with buffalo wings. Also, celery has a 75% yield.

\(Total weight of celery = 6 bunches * 2 pounds\)

each = 12 pounds

Total weight of celery in ounces

  \(= 12 pounds * 16 ounces\)

\(= 192 ounces\)

75% yield of celery means that 75% of the celery is edible.

The edible portion of celery

    = 75% of 192 ounces  

   \(= (75/100)*192 = 144 ounces\)

Now, as we have to find the number of 2-ounce servings that can be made, we need to divide the edible portion of celery by 2 ounces each. Thus, the number of 2-ounce servings can be made to serve with buffalo wings

  \(= 144/2 = 72.\)

Hence, 72 2-ounce servings can be made to serve with buffalo wings.

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Answer:

6

Step-by-step explanation:

Answer:

    (length of diagonal) = (90 ft)√2 ft, or 90√2 ft.

Step-by-step explanation:

We are finding the length of the diagonal of the square.

All edges of the square are of the same length (90 ft), and all interior angles are 90 degrees.

By the Pythagorean Theorem, (90 ft)^2 + (90 ft)^2 = (length of diagonal)^2

Thus, (length of diagonal)^2 = 2(90 ft)^2, or   (length of diagonal) = (90 ft)√2 ft, or 90√2 ft.