A cheetah runs at 55 MPH. At this speed, how long would it take to run 12,430 miles?
When dividing numbers with negatives, if the signs are both negative, the answer is always negative. True or false? To change a -x to an x in an equation, multiply both sides by -1.

Answer:

Domain: { 2,3,4,5}

Step-by-step explanation:

The domain is the inputs to the function

In this case it is the x values

Domain: { 2,3,4,5}

Answer:

C. (2,3,4,5)

Step-by-step explanation:

The domain is x and the range is y.

Answer:

2

Step-by-step explanation:

Answer:

The answer is 8

Step-by-step explanation:

If n = 8 and m = 3, 8 - 3 = 5.

40 ÷ 5 = 8

Hope this helps

Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful

Answer:

you have already choose correct  one's

BC=DC

Step-by-step explanation:

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

The roots of the function F(x) = x³ – 5x² – 2x + 24 are x = 3, x = 4, and x = -2.

To identify all of the roots of the function F(x) = x³ – 5x² – 2x + 24, we must factorize it.

Let's begin this by checking if x = 1 is a root or not.

To test whether x = 1 is a root or not, we can use the factor theorem. If F(1) = 0, then x - 1 is a factor of F(x).

F(1) = 1³ - 5(1)² - 2(1) + 24= 1 - 5 - 2 + 24= 18≠ 0

This implies that x - 1 is not a factor of F(x). Therefore, we must check other factors.

Let's try x = 2.

To test whether x = 2 is a root or not, we can use the factor theorem.

If F(2) = 0, then x - 2 is a factor of F(x).F(2) = 2³ - 5(2)² - 2(2) + 24

                                                                      = 8 - 20 - 4 + 24

                                                                      = 8≠ 0

This implies that x - 2 is not a factor of F(x). Therefore, we must check other factors.

Let's try x = -3.To test whether x = -3 is a root or not, we can use the factor theorem.

If F(-3) = 0, then x + 3 is a factor of F(x).F(-3) = (-3)³ - 5(-3)² - 2(-3) + 24

                                                                        = -27 - 45 + 6 + 24

                                                                        = -42≠ 0

This implies that x + 3 is not a factor of F(x). Therefore, we must check other factors.

Let's try x = -4.To test whether x = -4 is a root or not, we can use the factor theorem.

If F(-4) = 0, then x + 4 is a factor of F(x).F(-4) = (-4)³ - 5(-4)² - 2(-4) + 24

                                                                        = -64 + 80 + 8 + 24

                                                                        = 48≠ 0

\This implies that x + 4 is not a factor of F(x). Therefore, we must check other factors.

Let's try x = 3.To test whether x = 3 is a root or not, we can use the factor theorem.

If F(3) = 0, then x - 3 is a factor of F(x).F(3) = 3³ - 5(3)² - 2(3) + 24

                                                                     = 27 - 45 - 6 + 24

                                                                       = 0

This implies that x - 3 is a factor of F(x).Now, we can factorize F(x) using x - 3.

F(x) = x³ – 5x² – 2x + 24

= (x - 3)(x² - 2x - 8)

= (x - 3)(x - 4)(x + 2)

Hence, the roots of the function F(x) = x³ – 5x² – 2x + 24 are x = 3, x = 4, and x = -2.

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Answer:

a ≈ 14.9 , b ≈ 11.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos48° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{10}{a}\) ( multiply both sides by a )

a × cos48° = 10 ( divide both sides by cos48° )

a = \(\frac{10}{cos48}\) ≈ 14.9 ( to the nearest tenth )

now use the sine ratio in the right triangle to find b

sin48° = \(\frac{opposite}{hypotenuse}\) = \(\frac{b}{a}\) = \(\frac{b}{14.9}\) ( multiply both sides by 14.9 )

14.9 × sin48° = b , then

b ≈ 11.1 ( to the nearest tenth )

The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circle with center A

The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.

The equation of the circle is given by  (x−h)² + (y−k)² = a²

Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.

Thus, the standard equation of a circle is  (x−h)² + (y−k)² = a².

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Answer:

Step-by-step explanation:

7 students from the Junior class.

6 students from the Senior class.

4 new members are to be chosen.

Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.

Answer:

y = 5x + 2

Step-by-step explanation:

Standard form of Equation of line: y = mx + c

where m = slope or gradient,

c = y-intercept

From the question we know that:

x = - 1

y = - 3

m = 5

We will substitute these values into the equation to find c.

- 3 = (5)(- 1) + c

- 3 = - 5 + c

c = - 3 + 5 = 2

Therefore the equation of this line is: y = 5x + 2

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer:

x=106 degrees

Step-by-step explanation:

I'm going to assume that this is a circle since you didn't give it to me

So you want to add 164 and 90 together and subtract the sum by 360

360-(164+90)=106

So you want to use PEMDAS (order of operations) to solve this

x=106 degrees

Answer:

D. 10(f + 6e)

Step-by-step explanation:

sana nakatulong

Answer:

B I think

Step-by-step explanation:

Because your dividing 4 into 5 things

Answer:

Tommy traveled 6 blocks away from Tommy.

Step-by-step explanation:

If he ran 45 minutes each day, 5 days each week, for 12 weeks, Daniel's average rate in laps per hour was 40 laps.

To calculate the average rate in laps per hour, we need to convert all of the given time measurements to hours.

First, we know that Daniel ran 45 minutes per day, which is equivalent to 0.75 hours per day (45 ÷ 60 = 0.75).

Next, we know that he ran for 5 days each week for 12 weeks, so he ran for a total of 5 x 12 = 60 days.

Therefore, his total time spent running in hours is 60 x 0.75 = 45 hours.

Finally, we know that he ran 1,800 laps in that time. To find his average rate in laps per hour, we divide the total number of laps by the total time in hours:

1,800 laps ÷ 45 hours = 40 laps per hour

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A total of 23, 950, 080 results are possible.

We are given;

10 women

12 men

5 men and 5 women, chosen and pared off, how many results in total?

Thus;

[10 choose 5] x [12 choose 5]=252 x 792 = 199584 ways

We then need to know how many ways there could put into pairs i.e. For the first woman, there will be 5 choices of men. For the second woman, there will be 4 choices remaining of men. For the third woman, there will be 3 choices remaining. For the fourth woman, there will be only 2choices remaining, and only 1 choice left for the last woman.

Therefore, there are 5x4x3x2x1 = 120 ways.

 In total there are 199584x120 = 23950080 total  ways

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Research that provides data which can be expressed with numbers is called quantitative research.

Quantitative research is a type of research that focuses on gathering and analyzing numerical data. It involves collecting information or data that can be measured and quantified, such as numerical values, statistics, or counts. This research method aims to objectively study and understand phenomena by using mathematical and statistical techniques to analyze the data.

Quantitative research typically involves the use of structured surveys, experiments, observations, or existing data sources to gather information. Researchers often employ statistical methods to analyze the data and draw conclusions or make predictions based on the numerical findings.

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The slope for the function f(t) = 3 - 3/5t at point (3/5, 2) is 5/3.

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

The given function is - f(t) = 3 - 3/5t.

The data points are - (3/5, 2)

Rewrite the function -

f(t) = 3 - 3/5 t^-1

Differentiate with respect to t. Use the difference rule.

d/dt (3) - d/dt (3/5 t^-1)

Use the constant rule and the constant multiple rule.

0 - 3/5 d/dt (t^-1)

Use the power rule.

-3/5(-1)t^(-1 - 1)

3/5t^-2

Now plug in 3/5 for t on the derivative in order to find the slope at point (3/5, 2).

3/5(3/5)^-2

3/5(5/3)^2

3/5 × 25/9

5/3

Therefore, the slope value is 5/3.

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Find the slope of the graph of the function at the given point.

Function Point f(t) = 3 - 3/5t (3/5, 2)

Answer: 56 + 12 = 68

y + 12 = x

x = 68

Step-by-step explanation:

Answer:

the answer is 30°

Step-by-step explanation:

180°-90°-60°

The possible integers the satisfied all the requirements done by Samya are 561, 563, 565, 569, 570, 574, 578, 579, 581, 583 and 587.

In this question we must guess the number that satisfies the following features:

(i) The number is not a multiple of four - Then, the least digit is not 0, 2, 4, 6 or 8 and the .

(ii) It is greater than 560 than 590 and it is not a perfect square - The number must not be 24² = 576.

(iii) The sum of three digits is a primer number - The sum of the digits is equal to 2, 3, 5 or 7. The possible options are 561, 562, 563, 565, 566, 567, 569, 570, 571, 573, 574, 575, 577, 578, 579, 581, 582, 583, 585, 586, 587, 589.

Now we check for each case:

5 + 6 + 1 = 1 + 2 = 3      (YES)

5 + 6 + 2 = 1 + 3 = 4     (NO)

5 + 6 + 3 = 1 + 4 = 5     (YES)

5 + 6 + 5 = 1 + 6 = 7     (YES)

5 + 6 + 6 = 1 + 7 = 8     (NO)

5 + 6 + 7 = 1 + 8 = 9     (NO)

5 + 6 + 9 = 2 + 0 = 0   (YES)

5 + 7 + 0 = 1 + 2 = 3    (YES)

5 + 7 + 1 = 1 + 3 = 4     (NO)

5 + 7 + 3 = 1 + 5 = 6    (NO)

5 + 7 + 4 = 1 + 6 = 7    (YES)

5 + 7 + 5 = 1 + 7 = 8    (NO)

5 + 7 + 7 = 1 + 9 = 1     (NO)

5 + 7 + 8 = 2 + 0 = 2   (YES)

5 + 7 + 9 = 2 + 1 = 3    (YES)

5 + 8 + 1 = 1 + 4 = 5     (YES)

5 + 8 + 2 = 1 + 5 = 6    (NO)

5 + 8 + 3 = 1 + 6 = 7     (YES)

5 + 8 + 5 = 1 + 8 = 9     (NO)

5 + 8 + 6 = 1 + 9 = 1      (NO)

5 + 8 + 7 = 2 + 0 = 2    (YES)

5 + 8 + 9 = 2 + 2 = 4    (NO)

The possible integers thought by Samya are 561, 563, 565, 569, 570, 574, 578, 579, 581, 583 and 587.

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Answer:

I am 100% sure its 4.03 x 10^7

Step-by-step explanation:

The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

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The value of the multiplication of the given fractions  \((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} )\) is -9/ 140.

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.

A fraction multiplied by another fraction, an integer, or a set of variables is referred to as a fraction. The steps for multiplying fractions are as follows:

Add the numerator to the numerator to multiply. Add the denominator to the denominator and multiply. If necessary, simplify the fractions.

The multiplication of the given numbers is:

\((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} ) \\\\(\frac{5-4}{10} ) * (\frac{-10 + 1}{14} )\\\\\frac{1}{10} * \frac{- 9}{14} \\\\\frac{-9}{140}\)

Hence, value of the multiplication of the given fractions \((\frac{1}{2} - \frac{2}{5}) * (- \frac{5}{7} + \frac{1}{14} )\) is -9/ 140.

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Answer:

3.5 un

Step-by-step explanation:

to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7

this is basically dividing 24.5 by 7

24.5 / 7 = 3.5

that is your answer

481,308 in word form is four hundred eighty-one thousand, three hundred eight

The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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