The scale on a map reads 1 / 2 inch =30 miles. If two cities on the map are 5 3 / 4 inches apart, find the actual distance between the cities.
A. 300 miles
B. 315 miles
C. 327 miles
D. 345 miles
No answer provided
a. A
b. B
c. C
d. D
The ratio of empty seats to full seats in an auditorium is 3: 7. If there are 203 full seats, find the total number of seats.
A. 87 seats
B. 275 seats
C. 290 seats
D. 298 seats
A No answer provided
a. A
b. B
c. C
d. D
The ratio of empty seats to full seats in an auditorium is 3: 7. If there are 203 full seats, find the total number of seats.
A. 87 seats
B. 275 seats
C. 290 seats
D. 298 seats
A No answer provided
a. A
b. B
c. C
d. D

Answer: c=4 d=5

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Answer: B- Indirect characterization is used to show that Steve is isolated and worried.

Step-by-step explanation:

Answer:

79.95, 82.62

Step-by-step explanation:

using excel to find a 95% confidence interval for the mean bounce height of the golf ball

Heights given are :

81.4

80.8

84.4

85.6

82.9

76.0

80.0

83.2

80.8

79.6

82.9

83.4

82.2

86.0

76.2

84.8

82.0

76.3

77.0

75.4

82.0

79.8

80.4

86.9

82.1

The statistical out put of the problem after solving with excel is attached below

therefore the 95% confidence interval from the attached solution will be ( 79.95, 82.62 )

Answer: (79.95, 82.61)

Step-by-step explanation:

Use Excel to calculate the 95% confidence interval, where α=0.05 and n=25.

1. Open Excel and enter the given data in column A. Find the sample mean, x¯, using the AVERAGE function and the sample standard deviation, s, using the STDEV.S function. Thus, the sample mean, rounded to two decimal places, is 81.28 and the sample standard deviation, rounded to two decimal places, is 3.23.

2. Click on any empty cell, enter =CONFIDENCE.T(0.05,3.23,25), and press ENTER.

3. The margin of error, rounded to two decimal places, is 1.33. The confidence interval for the population mean has a lower limit of 81.28−1.33=79.95 and an upper limit of 81.28+1.33=82.61.

Thus, the 95% confidence interval for the mean bounce height of the golf balls is (79.95, 82.61).

Answer:

Exact Form: 19/24  Decimal Form: 0.4523809

Step-by-step explanation:

Answer:

22 /49  or  0.44898

Step-by-step explanation:

Step-by-step explanation:

The amplitude is 2. Amplitude means height from the x-axis to the crest/trough.

The period is 2pi. It is from crest to crest (next crest) or trough to trough (next trough).

Note that crest are the highest points of a wave, and that troughs are the lowest points of a wave. (we are talking about transverse waves, but this is more of a physics thing).

Function of graph:
By playing around in a graphing calculator, I got the equation to be

2 (cos (x + pi/2)).

the 2 changes the amplitude, and the + pi/2 shifts the graph by pi/2 to the left.

Given parameters:

Distance = 320miles

Average speed  = 69miles per hour

Unknown;

A motion equation  = ?

Given that D should represent Distance

                  h number of hours traveled by Joe

Speed is a physical quantity defined as the distance divided by time taken.

It is mathematically expressed as;

             Speed  = \(\frac{Distance}{time taken}\)

Now substitute D for distance and h for the number time;

          Speed  = \(\frac{D}{h}\)

So distance;

          D = Speed x h

For this journey;

         D = 69h

The equation is D = 69h

Answer:

The answer is B. D=320-69h

Just took the quiz :)

Answer:

C. Neither

Step-by-step explanation:

The permutation is a selection of objects from a given sample in an ordered manner .

The combination is a selection of objects from a given sample irrespective of an order of arrangement.

The given line of people is neither an ordered arrangement of​ objects, nor a selection of objects from a group of objects So it fits neither of the combinations or permutations.

So the best answer is neither.

Answer:

Step-by-step explanation:

the anwer is b

Roland's percent error is approximately 3.889%.

This means that his measured value differs from the actual value by 3.889% or 0.03889 in decimal form.

The positive sign indicates that Roland's measured value is slightly lower than the actual value.

To calculate Roland's percent error, we can use the formula:

Percent Error = (|Measured Value - Actual Value| / Actual Value) \(\times\) 100

Given that Roland measured a current of 0.173 amps while expecting a current of 0.180 amps, we can substitute these values into the formula:

Percent Error = (|0.173 - 0.180| / 0.180) \(\times\) 100

Simplifying the expression within the absolute value:

Percent Error = (|-0.007| / 0.180) \(\times\) 100

Since the absolute value of -0.007 is 0.007, we have:

Percent Error = (0.007 / 0.180) \(\times\) 100

Calculating the division:

Percent Error = 0.03889 \(\times\) 100

Percent Error = 3.889%.

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Answer:

Step-by-step explanation:

without sale he spends 32.00(3) = $96.00

The discount amount is

$96.00(0.3) = $28.80

The sale price is

$96.00 - $28.80 = $67.20

Answer:

the answer is -3 1/4

Step-by-step explanation:

The additive Inverse of 3 1/4​ will be - 3 1/4.

Suppose that the given function is \(f:X\rightarrow Y\)

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'

We are given the number as;

3 1/4​ = 13/4

Therefore, the additive Inverse of 3 1/4​ will be;

Negative 13/4 = - 3 1/4

Hence, the additive Inverse of 3 1/4​ will be - 3 1/4.

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Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

\(L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx\)

Now comptue the area A under the curve y = f(x) over [a, b] :

\(A=\displaystyle\int_a^bf(x)\,\mathrm dx\)

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

\(f(x) = \frac 14e^{-x} + e^x\)

Differentiate the function

\(f'(x) = -\frac 14e^{-x} + e^x\)

On any interval, the following must be true

\(f(x) =f'(x)\)

and

\(f(x) = \sqrt{1 + (f'(x))^2}\)

So, we have:

\(f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}\)

Expand the exponents

\(f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}\)

Remove the bracket

\(f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}\)

Evaluate the like terms

\(f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}\)

Multiply by 16/16

\(f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}\)

So, we have:

\(f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}\)

Take the square root of 1/16

\(f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}\)

Express the radical as a perfect square

\(f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}\)

Evaluate the exponents

\(f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})\)

Evaluate the products

\(f(x) = \frac{1}{4}e^{-x} + e^{x}\)

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

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The solution to the variables are x = 7 and y = 4

From the question, we have the following parameters that can be used in our computation:

Shape = Triangle

The marks on the triangles imply that

So, we have the following representation

3x - 5 = 5y - 4

3x - 5 = y + 12

Substitute 3x - 5 = y + 12 in 3x - 5 = 5y - 4

y + 12 = 5y - 4

Evaluate the like terms

4y = 16

So, we have

y = 4

Substitute y = 4 in 3x - 5 = y + 12

3x - 5 = 4 + 12

So, we have

3x = 21

This gives

x = 7

Hence, the values are x = 7 and y = 4

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The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Step-by-step explanation:

In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical. 

Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.

Example:√(x³) = square root of x³ = x^(3/2)

Hopefully this is what you need!

Answer:

34÷x-9

Step-by-step explanation:

34 divided by a number(x) times -9

There are 540 men living in the mini city.

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

Therefore, there are 540 men living in the mini city.

To check our answer, we can substitute x = 540 into our original equation:

540 + (540 + 150) = 1230

690 = 1230

This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.

We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:

x + (x + 150) = 1230

Simplifying this equation, we get:

2x + 150 = 1230

Subtracting 150 from both sides, we get:

2x = 1080

Dividing both sides by 2, we get:

x = 540

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Answer:

56.25    units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

Using newton's method to find all real roots of the equation, 4x = 1+ x³ is

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

We have the equation,

4x = 1+ x³

To find the real roots of equation we have,

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

The cubic equation formula in mathematics is how the cubic equation is represented. An equation with degree three is said to be cubic. In nature, the roots of all cubic equations are either one real root and two real roots or three real roots. Cubic polynomials are the name given to three-degree polynomials.

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Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

Answer:

angle 2

Step-by-step explanation:

adds up to 180 degrees

Answer:

5

Step-by-step explanation:

Answer:

I haven't learn this yet but you can maybe ask desmos that app is helpful maybe it can help with your question.

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

x=30,F=1260,y=6

Step-by-step explanation:

is what your looking for

Answer:

42 cm

Step-by-step explanation:

The first rectangle has a length of 4 and a Width of 7. the second rectangle has a length of 2 and a width of 7.

The formula for area of a rectangle is A=l*w

SO,

Rectangle 1: A= L*W

A=4*7

A=28

Rectangle 2:

A=L*W

A=2*7

A=14

Now, add both areas since they are both part of one whole recatngle.

28+14

= 42

Answer:

x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))

Step-by-step explanation:

notice that x = MK = HM = 24.

Let the center of the circle be C.

Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).

Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)

Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))

hopefully this helped

Answer:

y=1/2x-2

Step-by-step explanation:

perpendicular lines have a neg. reciprocal for the slope.

for example:

in this equation y=-2x+1

-2 is the slope and the negative reciprocal would be 1/2

hence, the slop of our new line is 1/2

y=1/2x+b

we can substitute the coordinates given for x and y:

2=1/2(8)+b

2=4+b

-2=b

hence the new equation is y=1/2x-2

Answer:

Step-by-step explanation:

Using polynomial concepts, it is found that the independent term of 5xyz is 0.

In this problem, the polynomial is:

\(P(x,y,z) = 5xyz\)

When all variables are zero, we find the independent term, which is:

\(P(0,0,0) = 5(0)(0)(0) = 0\)

The independent term of 5xyz is 0.

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