choose the answer that best describes the graph.

Answer:

A. 31 Km

Step-by-step explanation:

\(circumference = 2\pi \:r\)

radius equals the diameter divided by 2

\(r = \frac{d}{2} \)

In this case the diameter is 10, so the radius is 5.

finally,

\(2\pi(5) = 31.415\)

rounded to the nearest whole number gives us

31 Km.

Check the picture below.

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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Answer:

If rounded to the nearest 10 bacteria, then it would be 500 bacteria.

Step-by-step explanation:

First multiply 150 by two in order to get 300, that leaves 4 hours to figure out. From there you can figure out the rest by seeing that 4 is 2/3 of 6. I converted it into the decimal number .66. Multiply 300 by .66 to get 198 and then add it to 300 to get 498. Then just round it up to the nearest 10 bacteria which leaves you with the final answer of 500 bacteria.

The minimum equation initial height at which the car can be released and still stay in contact with the track at the top of the loop is 8.90 m.

hmin = 8.90 m

We can use the equation for centripetal force to solve for the minimum initial height hmin at which the car can be released and still stay in contact with the track at the top of the loop.

Fc = mv2/r

where Fc is the centripetal force, m is the mass of the car, v is the speed of the car, and r is the radius of the loop.

We know that the mass of the car is 250 kg, the speed of the car is 14 m/s, and the radius of the loop is 20 m.

We can rearrange the equation to solve for hmin:

Fc * r = m * v2

hmin = (m * v2) / Fc

hmin = (250 kg * (14 m/s)2) / (25000 N)

hmin = 8.90 m

The minimum initial height at which the car can be released and still stay in contact with the track at the top of the loop is 8.90 m.

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Answer:

-----------------------

Substitute 12 and 24 for n into formula and calculate.

So, the 12th term is 63 and 24th term is 123.

A z-score of 0 indicates that the person's score is equal to the mean, so they are right at the Average Performance level.the z-score of a person who scored 300 on the exam is 0.

The z-score of a person who scored 300 on the exam, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, the person scored 300 on the exam, which is equal to the mean (μ). Therefore, we can substitute these values into the formula:

z = (300 - 300) / 40

Simplifying the equation, we have:

z = 0 / 40

Since any number divided by zero is undefined, we can conclude that the z-score of a person who scored 300 on the exam is 0.

The z-score measures the number of standard deviations a data point is away from the mean. In this case, a z-score of 0 indicates that the person's score is equal to the mean, so they are right at the average performance level.

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1) The way both are similar is that they involve subtraction operation.

2) The way they are different is that they produce different answers.

The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.

The expressions are;

-15 - (-6) and 15 - 6

The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another

The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.

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The perimeter of the triangle OQR is 68 cm

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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Answer:

10 years

Hence, it will take 10 years for the sum of money to double itself with the rate of 10% per annum simple interest. Note: While solving questions related to principal interest, it is important to keep in mind that simple interest calculated from the formula, Simple Interest (I) = P × R × t 100, doesn’t represent the total amount of money.

Step-by-step explanation:

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

We have,

From the given quadratic function,

We see that,

The x-values are -∞ to ∞

The y-values are from 3 to ∞

Now,

The x-values are called the domain.

The y-values are called the range.

Thus,

The domain of the function is (-∞, ∞.)

The range of the function is {3, ∞}.

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1/2 is the slope of the following when you simplify

Answer: umm i dont know...

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Because the two lines are parallel, the angle of y would be 109 degrees. Since a straight line = 180 degrees, just subtract 71 from it to get y.

Next to find the x value :

We know that since angle y is 109 degrees, this angle must equal to 71.

     71 = 4x - 25

     71 + 25 = 4x

     96 = 4x

Divide both sides by 4

      24 = x

We can check to see if it works :

     (4(24) - 25) = (96 - 25) = 71, so this is correct

Hope this helps! Best of luck <3

The number that can be placed in the blank to make the number sentence true is given as follows:

1/316.

The number sentence for this problem is given as follows:

"316 times which number equals 1".

The number is unknown, hence the variable that represents the number is given as follows:

x.

The times word means a multiplication operation, hence the expression is given as follows:

316x = 1.

Now we must simply solve the expression 316x = 1 for the variable x, applying the division, which is the inverse operation of the multiplication, hence:

x = 1/316.

Which is the number that satisfies the number sentence.

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Answer:

HAH! EASY

Step-by-step explanation:

128+3x+1              *Clears throat*

First, add 128 to 1.

that's 129.

now your answer so far should be:

129+3x.

.....

that's your answer.

I hope my awesome teaching skills did help you    :)

Answer:

y = (-mi/h)x + b

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with mx being the slope and b being the y intercept

y = mx + b

all we need to do is fill in known variables with hours multiplied by x represented as m...

y = (-mi/h)x + b

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

b would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

Answer:

f(x) = (x + 6)² - 29

Step-by-step explanation:

Given

f(x) = x² + 12x + 7

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

x² + 2(6)x + 36 - 36 + 7

= (x + 6)² - 29, thus

f(x) = (x + 6)² - 29

answers are 6, and -29

Answer:

Step-by-step explanation:

The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above

9514 1404 393

Answer:

  $403.75

Step-by-step explanation:

Joe worked 45 -40 = 5 hours of overtime this week. "Time and a half" means he will be paid for an additional 5/2 = 2.5 hours, so his gross pay this week is ...

  (45 +2.5)($8.50) = $403.75

Answer:

8

Step-by-step explanation:

8-3=5

8x5=40

Answer:

He will have 2 cups :)

Answer:

he would have 2 cups in it cause 1 pint = 2 cups

Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

The tolerance to defects and fracture toughness of a material can be evaluated using its fracture toughness parameter, Kic. The higher the Kic value, the better the material's tolerance to defects and fracture toughness.

To compare the two materials, we can use the concept of critical stress intensity factor (Kic) and factor of safety (FoS). The critical stress intensity factor is the maximum value of stress intensity factor (K) that a material can withstand without fracturing. The factor of safety is the ratio of the maximum allowable stress to the design stress, and it is used to ensure a safety margin in the design.

Assuming that the two materials have the same defect to tolerance ratio, we can calculate the maximum allowable stress for each material using the following formula:

σmax = FoS * Kic / (π * a)

where σmax is the maximum allowable stress, FoS is the factor of safety (assumed to be 2), Kic is the fracture toughness parameter, and a is the size of the defect.

Let's assume a defect size of 1 mm for both materials. Using the values given in the question, we get:

For Maraging (18% Ni) steel:

σmax = 2 * 82 * 10^6 / (π * 1 * 10^-3) = 52.1 GPa

For Medium strength steel:

σmax = 2 * 50 * 10^6 / (π * 1 * 10^-3) = 31.8 GPa

Therefore, Maraging steel has a higher maximum allowable stress, which indicates that it has a better tolerance to defects compared to medium strength steel.

To compare the fracture toughness of the two materials, we can use their respective Kic values. The higher Kic value indicates a better tolerance to defects and fracture toughness.

Comparing the given values, we can see that Maraging (18% Ni) steel has a higher fracture toughness parameter (Kic= 82 MNm-3/2) compared to Medium strength steel (Kic= 50 MNm-3/2).

Therefore, Maraging (18% Ni) steel has a better tolerance to defects and fracture toughness compared to Medium strength steel.

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The actual distance between the two cities is equal to 288 miles.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the side lengths of the image by the side lengths of the pre-image:

Scale factor = length of image (new figure)/length of pre-image (actual figure).

Scale:

0.25 inch = 24 miles

0.25/24 = New distance/Actual distance

0.25/24 = 3/Actual distance

Actual distance = (24 × 3)/0.25

Actual distance = 288 miles.

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It can be seen that the value of K is: k = -3

The generic equation of the lines is:

y-yo = m (x-xo)

m = (y2-y1) / (x2-x1)

We look for the functions:

For f (x):

m = (- 1-1) / (1-0)

m = -2

y-1 = -2 (x-0)

y = -2x + 1

For g (x):

m = (3 - (- 3)) / (1-0)

m = 6

y - (- 3) = 6 (x-0)

y = 6x-3

y = -3 (-2x + 1)

The value of k is:

k = g (x) / f (x)

k = (- 3 (-2x + 1)) / (- 2x + 1)

k = -3

Therefore, it can be seen that the value of K is: k = -3

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The solution to the equations are b = 15, b = 22, c = 21 and n = 28

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

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

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Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Answer:

Step-by-step explanation:

Find the image attached;

From the image;

opposite side = 16

Hypotenuse = 21

Angle of inclination = x

Using the SOH identity

sinx = opposite/hypotenuse

sin x = 16/21

sin x = 0.7619

x = arcsin 0.7619

x = 49.6° (to the nearest tenth of a degree)

Given the equation:

The first thing to do is get rid of the parenthesis, since there is a negative sign outside of them, the content will change it's sign:

Now, we pass the 4 to the other side of the equation changing it's sign again:

therefore, f=8