Blanca jogged 8 days last month. She jogged 1.25 miles on each of these days and burned 140 calories per mile while jogging.


How many calories did Blanca burn by jogging last month?


Explain how you arrived at your solution using mathematical words and complete sentences.

The amount that Matthew was paid per hour is given as follows:

$6.

The amount that Matthew was paid per hour is obtained applying the proportions with the amounts given in this problem. A proportion is a fraction of a total amount, using to obtain amounts in the context of a problem.

He then spent $3 and had $12 remaining, hence the total amount earned is calculated as follows:

x - 3 = 12

x = 12 + 3

x = $15.

(total amount - spent amount = remaining amount).

He earned $15 in 2.5 hours, hence the amount that Matthew was paid per hour is found applying the division of 15 by 2.5, as follows:

15/2.5 = $6.

(amount per hour = total amount divided by the number of hours).

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The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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"Percent" or "%" means "out of 100" or "per 100",

Therefore we can write this problem as:

Where x is the percent of carpenters who showed up.

We can solve this for x:

2900 = 36x

x = 2900/36

x = 80.6%.

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Answer:

Kylie's sauce  has a greater proportion of cheese.

Step-by-step explanation:

The cheese sauce which have a stronger cheese flavor is Kyle's cheese sauce

Cream = 9 oz

Cheese = 8 oz

Ratio of cheese to cream = 8 : 9

= 8/9

= 0.89

Cream = 12 oz

Cheese = 11 oz

Ratio of cheese to cream = 11 : 12

= 11/12

= 0.92

Therefore, the cheese sauce which have a stronger cheese flavor is Kyle's cheese sauce

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Step 1: Prioblem

Estimate the difference of 765 and 333. Explain your estimate.​

Step 2: Concept and Method

Difference mean to subtract the smaller number from larger number.

Therefore,

Step 3: Final answer

= 432

Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.

Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.

One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.

The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:

\(\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4\)

So, the ratio of bigger triangle and smaller triangle is 4:1.

With that ratio and suppose length is represented as L:

\(\frac{L}{33} =4\)

L = 132

The length of the lake is 132m.

Thus, the answer for this question is

1) The similarity of the triangles is proved by SSS similarty;

2) Ratio of proportion is 4:1;

3) Length of the lake is 132m;

Answer:      2.381875 is the answer.

It can be deduced that the probability that an individual wins the jackpot will be 0.0000001.

From the information, the required four numbers will be:

= 54! / 4!(54 - 4)!

= 54! / 4!50!

= 316251

The required single number will be:

= 37! /1! (37 - 1)!

= 37

Therefore, the probability of winning the jackpot will be:

= 1 / (316251 × 37)

= 1/11701287

= 0.0000001

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The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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Answer:

C

Step-by-step explanation:

The equation that described the graph is x<-5

Answer:

Step-by-step explanation:

Since 8 is a factor of 24, 8 is the GCF of the pair, and 24 is the LCM of the pair.

__

The ratio 8/24 is reduced by observing that 24 = 8·3:

  8/24 = 8/(8·3) = (8/8)·(1/3)

  8/24 = 1/3

Answer:

C. 20.8

Step-by-step explanation:

Reference angle = 32°

Opposite side length opposite to reference angle = 13

Adjacent side length = x

We would apply the trigonometric function, TOA. Which is:

Tan 32 = Opp/Adjacent

Tan 32 = 13/x

Multiply both sides by x

x × Tan 32 = 13

Divide both sides by Tan 32

x = 13/Tan 32

x = 20.8043489

x = 20.8 (nearest tenth)

The required value of h, representing the height of the three-dimensional rectangle, is 12.

The diagonal of a three-dimensional rectangle is defined by the equation d² = x² + y² + h². To solve for h, we can rearrange the equation as follows:

h² = d² - x² - y²

Given the values d = 13, x = 3, and y = 4, we can substitute them into the equation:

h² = 13² - 3² - 4²

h² = 169 - 9 - 16

h² = 144

Taking the square root of both sides, we find:

h = 12

Therefore, the value of h, representing the height of the three-dimensional rectangle, is 12.

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The car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

Your car can drive 300 miles on a tank of 15 gallons

300 miles → 15 gallons

Let x be the number of miles or distance a car travel in 40 gallons

x → 40 gallons

300/x = 15/40

x = (300×40)/15

x = 800 miles

Thus, the car travels 800 miles in 40 gallons if the car can drive 300 miles on a tank of 15 gallons.

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Answer:

325 pencils, 650 markers, 975 pens

Step-by-step explanation:

in picture.

The expression shows that f(1664) simply represents the number of gasoline required to drive 1664 miles.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It should be noted that f(1664) will be;

= 1664 / 32

= 52

In this case, it should be noted that f(1664) simply represents the number of gasoline required to drive 1664 miles.

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Answer:

A

Step-by-step explanation:

I just took the test

:>

Answer:

I hope this helps

Step-by-step explanation:

It should be noted that the addition of the variables give in the expression will be 11✓2.

It should be noted that the information is incomplete. Therefore, an overview will be given. In this case, let a = ✓2, b = ✓8 and c = ✓128.

This can be illustrated as:

= a + b + c

= ✓2 + ✓8 + ✓128

= ✓2 + 2✓2 + 8✓2

= 11✓2

Therefore, it should be noted that the should be noted that the addition of the variables give in the expression will be 11✓2

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Answer:

Miling saves more because he saves 15 dollars a week while Daniel saves 10 dollars a week 10 dollars is less than 15 dollars

Do they want you to label everything, what are they looking for?

Answer:

$55/per hour

Step-by-step explanation:

Let's call the cost of labor per hour "x".

We know that the cost of parts is $70 and the cost of labor is x * 2.25 (since the technician worked for 2.25 hours).

We also know that the total cost is $193.75. So we can set up the equation:

x * 2.25 + $70 = $193.75

To solve for x, we'll first get the x terms on one side of the equation by subtracting $70 from both sides:

x * 2.25 = $193.75 - $70

x * 2.25 = $123.75

Finally, we'll divide both sides by 2.25 to solve for x:

x = $123.75 / 2.25

x = $55/hour

Answer:

\(10 \div \frac{3}{7} \times \frac{4}{7} \)

\(10 \times \frac{7}{3} \times \frac{4}{7} \)

40/3

13.33 min

The horizontal asymptote is y = 0.

What is horizontal asymptote ?

A horizontal asymptote is a straight line that a graph approaches but never touches as the value of x approaches positive or negative infinity. It represents the long-term behavior of the function as x becomes extremely large or small. In other words, it is a boundary that the function approaches as x goes to infinity or negative infinity. The equation of the horizontal asymptote can be determined by analyzing the degree of the numerator and denominator of the rational function.

According to the question:

The horizontal asymptote of f(x) \(= 4x^2 / (2x^3 + 7) is y = 0.\)

To see why, we can use the fact that as x gets very large (positive or negative), the highest power of x in the denominator (2x^3) will dominate the expression, making the entire fraction approach 0. Therefore, the horizontal asymptote is y = 0.

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Answer:

3x5² is the opposite of ur uestion

The value of -3√5 as the opposite of the square root is -75.

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9.

Given:

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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