the product of a number and 5

Answer:

The answer is Blank1: Hectogon 4 to the power of 6.

Step-by-step explanation:

I took the test and got it right sooo

Emily runs at the fastest speed of 15 ft per second, Liz runs at 13.03 ft per second, and Zack runs at 12.8 ft per second.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

Given that Emily runs 15 ft per second no one runs 358 ft and 36 seconds Liz runs 1 mi in 405 seconds Zack runs 768 feet in 1 minute.

Emily's speed = 15 ft/sec

Liz's speed = 1 mile per 405 sec = 5280/405 = 13.03 ft /sec

Zack's speed = 768 / 60 = 12.8 ft /sec

Therefore, Emily runs at the fastest speed of 15 ft per second, Liz runs at 13.03 ft per second, and Zack runs at 12.8 ft per second.

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James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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Answer:

B, \(-\frac{1}{2}\)

Step-by-step explanation:

This problem is essentially asking one to envision a line passing through the set of points on the coordinate plane, then to find the constant of proportionality of that line. The constant of proportionally, also known as the rate of change, or the slope, is a number that can be used to describe the range that happens between points on a line. The following formula can be used to find the slope of a line passing through a set of points.

\(\frac{y_2-y_1}{x_2-x_1}\)

Where the points (\(x_1,y_1\)) and (\(x_2,y_2\)) are points on the line.

As one can see, on the given coordinate plane, the points (\(2,-1\)), and (\(4,-2\)) are on the coordinate plane. Substitute these points into the formula to find the slope of the line, then simplify to evaluate the equation and find the slope,

\(\frac{y_2-y_1}{x_2-x_1}\)

(\(2,-1\)),  (\(4,-2\))

\(=\frac{-2-(-1)}{(4)-(2)}\)

\(=\frac{-2+1}{4-2}\\\\=\frac{-1}{2}\\\\=-\frac{1}{2}\)

To convert a fraction into a decimal you have to divide the numerator by the denominator. For example, to convert 39/8, you need to divide 39 by 8, which is equal to 4.875.

The required solution is x²y - tan x + y² = K.

The given differential equation is (2xy - sec²x)dx + (x² + 2y)dy = 0.To solve the differential equation, we need to check if it is exact or not.

For that, we will find the partial derivative of the coefficient of dx with respect to y, and the partial derivative of the coefficient of dy with respect to x.

Let's start by finding these partial derivatives: ∂/∂y (2xy - sec²x) = 2x ∂/∂x (x² + 2y) = 2xSince both partial derivatives are equal, the given differential equation is exact.

To find the solution, we need to integrate the coefficient of dx with respect to x, keeping y as a constant.

And, then, we differentiate this result with respect to y and equate it to the coefficient of dy and then solve for the constant of integration.

Let's find the integration of the coefficient of dx with respect to x: ∫ (2xy - sec²x) dx= x²y - tan x + C(y)Here, C(y) is the constant of integration that depends only on y.

Let's differentiate this result with respect to y: ∂/∂y (x²y - tan x + C(y)) = x² + C'(y)Here, C'(y) is the derivative of C(y) with respect to y.

We can equate this result to the coefficient of dy and solve for C(y). We get: x² + C'(y) = 2y => C(y) = y² + K, where K is a constant.

Therefore, the solution of the given differential equation is: x²y - tan x + y² = K where K is the constant of integration.

Hence, the required solution is x²y - tan x + y² = K.

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The best approach to solve the problem is writing an equation. Given Avelina earns half of what Gus earns, the equation becomes Avelina's earnings = Gus's earnings / 2. On substituting Gus's earnings with $125, we get Avelina's earnings to be $62.50.

The best problem-solving strategy that would be apt to solve this problem, 'Avelina earned half as much money as Gus. If Gus earned $125.00, how much money did Avelina earn?' is to write an equation. We know that Avelina earned half of what Gus earned. This can be represented by the equation: Avelina's earnings = Gus's earnings / 2.

Since we know that Gus earned $125, we can substitute this value into our equation: Avelina's earnings = $125 / 2. Solving this equation gives us the answer: Avelina earned $62.50.

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Selecting all students with last names beginning with the letter M would not produce a random sample of a school population of 1000 students. Hence the answer is no.

A random sample is obtained by selecting individuals from a population in a way that ensures every member of the population has an equal chance of being included in the sample.

By choosing only students with last names beginning with the letter M, you are introducing a bias and not providing an equal chance for all students to be selected.

To obtain a random sample of 1000 students from a school population, you would need to use a random selection method that ensures each student has an equal probability of being chosen.

This could be achieved through techniques such as random number generators, random sampling software, or random sampling techniques like stratified or cluster sampling.

Selecting all students with last names beginning with the letter M would not meet the requirements of a random sample, as it would not provide an equal chance for all students in the population to be included.

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Answer:

Step-by-step explanation:

PART A

7.5 represents the ounces of water heating up inside the pot.

PART B

40 in the equation will represent the starting point. It can be described as where the temperature started.

PART C

The temperature, of Colton's pot of water after 16 minutes will be 120°  7.5(16) = 120  7.5 being the ounces of water and 16 being minutes.

PART D

After 16 minutes of heating, about 13.3 as additional time will be added for the water to start boiling at 212°.

The temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, it is specified that:

So, if the water is boiling for x = 16 minutes, then the temperature would be:

\(y = 7.5 \times 16 +40 = 160^\circ \: \rm F\)

Also, we need to make the temperature reach to 212 degree Fahrenheit after 16 minute of boiling.

Let it takes T time (in minutes more) to reach 212 degree Fahrenheit, then: y = 212, x = 16 + T

Putting these values in the equation, we get:

\(y = 7.5x + 40\\212=7.5\times(16+T) + 40\\212 = 120 + 7.5T + 40\\7.5T = 212-160\\\\T = \dfrac{212-160}{7.5} = \dfrac{52}{7.5} \approx 6.93 \: \rm minutes \approx 7 \: \rm minutes\)

Thus, the temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.

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Answer:

\(\frac{1}{cos^2a }= tan^2 a\)

Step-by-step explanation:

Explanation:-

Given   sin²a + cos²a = 1  

and

              \(\frac{1}{cos^{2} a} \\= \frac{sin^2a+cos^2a}{cos^2a} \\ \\\\ = \frac{sin^2a}{cos^2a} +\frac{cos^2a}{cos^2a}\)

= tan²a + 1



Answer: 14 cones

Step-by-step explanation:

We can do 50/20

= 2.5 cones placed per feet of distance (vector)

To find: How many cones are placed along 35 feet of road?​

We can now divide 35 by 2.5 and the result is 14.

14 cones were placed, in the interval of 35 feet.

Answer: 14

Step-by-step explanation: if we divide the total length by the amount of cones we get 2.5 which is feet between cones, so now we start with 2.5 = 1 and get 2.5 to 35 so the 1 is the answer, finally dividing 35 by 2.5 gives us the answer: 14.

Area of Rectangle :42 \(cm^{2}\)

To calculate the shaded area, first calculate the overall area and then deduct the areas of the four little rectangles.

The following are the dimensions of the large rectangle:

The length is merely one of the little rectangles' length: 7

The width is equal to the length of one of the tiny rectangles plus the width of two of the small rectangles, thus 7 + 0.5 + 0.5 = 8.

As a result, the area of the largest rectangle is 7 × 8 = 56 cm^2.

We must now calculate the areas of the four smaller rectangles. It's simply length multiplied by width:

7 ×0.5 = 3.5

Because there are four rectangles, multiply by four:

14 cm squared = 3.5 ×4

Finally, the shaded area is calculated as 56 - 14 = 42 cm squared.

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Answer:

7/12 is a rational

Step-by-step explanation:

because it is containing a quantity which are expressible

Answer:

3) vertical

4) neither

Step-by-step explanation:

3) they are formed by two intersecting lines, are opposite of each other and are congruent. therefore, they are vertical angles

4) adjacent angles share a common vertex and common side. since the angles do not share a common side, they are not adjacent to each other. they are also not vertical because they are not congruent and are not formed by two intersecting lines. therefore, they are neither angle type

Width be x and length be 2x+5

Now

Length=2(13)+5=26+5=31

The system of equations can be written as:-

10x + 4y = 42

6x + 8y = 14

A system of equations, also known as a set of simultaneous equations or an equation system, is a finite set of equations for which we sought common solutions in mathematics. A system of equations can be classified in the same way that a single equation can.

Given that in an online quiz, positive points are awarded for a correct answer, and negative points are awarded for an incorrect answer. Elena answers 10 questions correctly and 4 incorrectly and scores 42 points. Kiran answers 6 questions correctly and 8 incorrectly and scores 14 points.

The system of equations can be written as:-

10x + 4y = 42

6x + 8y = 14

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The surface area of the triangular prism with bases that are 4 cm and sides that are 4 cm is 192 cm²

Surface area of a triangular prism = 12 × base × height

= 12 × 4 cm × 4 cm

= 192 cm²

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Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Answer:

C

Step-by-step explanation:

CLASSIC HORROR MOVIES

Answer:

B. CT+TA=RM+MA

Step-by-step explanation:

Answer:

x + 12 = 22 - 9x

x = 10 - 9x

10x = 10

x = 1

5x + 11 > 2x + 38

3x + 11 > 38

3x = 27

x = 9

15x - 40 = 20

-15x = 60

-x = 4

x = -4

Answer:

> number 1| Number 2 <

Step-by-step explanation:

Answer:

X = \(-5\frac{2}{3}\)

Step-by-step explanation:

X + 2/3 = -5

X = \(-5\frac{2}{3}\)

Answer:

Step-by-step explanation:

are the what???

Answer:

she would need annual breast cancer screening with mammograms.

Step-by-step explanation:

hope this helps! hope you have a nice day.

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

\(x= \frac{-1}{3}\) or \(x= -1\)

Step-by-step explanation:

Step 1: Subtract 1 from both sides. 3x2+4x+1−1=0−1 3x2+4x=−1

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3. 3x2+4x 3 = −1/3 x2+ 4/3 x= −1/3

Step 3: The coefficient of 4/3x is 4/3. Let b=4/3. Then we need to add (b/2)^2=4/9 to both sides to complete the square.

Add 4/9 to both sides. x^2+ 4/3 x+ 4/9 = −1/3 + 4/9 x^2+ 4/3 x+ 4/9 = 1/9

Step 4: Factor left side. (x+ 2/3 )^2= 1/9

Step 5: Take square root. x+ 2/3 =±√ 1/9 Step 6: Add (-2)/3 to both sides. x+ 2/3 + −2/3 = −2/3 ±√ 1/9 x= −2/3 ±√ 1/9 x= −1/3 or x=−1

Answer:

Let's assume that the distance between Chicago and Hoopertown is represented by 'x' miles.

According to the given information:

Raymond lives 23 miles from Chicago, so the distance between Amanda and Chicago is 23 - 15 = 8 miles.

Since Amanda lives halfway between Charlie and Chicago, the distance between Charlie and Chicago is also 8 miles.

Therefore, the distance between Charlie and Hoopertown is x - 8 miles.

Since Charlie lives halfway between Chicago and Hoopertown, the distance between Raymond and Charlie is (x - 8) / 2 miles.

Given that Raymond lives 15 miles from Amanda, we can set up the following equation:

(x - 8) / 2 = 15

To solve for x, we can multiply both sides of the equation by 2:

x - 8 = 30

Next, we can isolate x by adding 8 to both sides of the equation:

x = 38

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

For James to break even, he must work for 5 days.

The break-even point describes the production and sales units where the total revenue equals the total costs.

At the break-even point, there is no profit or loss.

The fixed cost incurred for the purchase of a lawn mower = $875

The daily cost of gasoline = $20

The daily revenue = $200

The total cost function is 875 + 20d

The revenue function is 200d

To break even, James' total cost function must equal the revenue function as follows:

875 + 20d = 200d

180d = 875

d = 4.86

d is approximately 5 days.

Thus, James needs to work for 5 days to cover the total costs with the total revenue.

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