Write the following expression in simplest form.

the expression quantity negative three fifths times x minus 7 end quantity minus quantity negative 12 plus three tenths times x end quantity

negative nine tenths times x plus 5
negative nine tenths times x plus negative 5
three over 10 times x plus 5
three over 10 times x plus negative 19

The solution to the products of exponents is as follows;

1) -24a³b⁷

2) 15a⁵b¹⁵

3) -10d⁴ + 17sd² - 6s²

4) 6x³ - 33x² + 45x - 6

5) 21x⁷y¹¹

6) 8y⁴ + 25y³ + 60y² + 10y + 7

7) 20s³ + 50s² + 32s + 6

The Product of Powers Property of exponents states that when we multiply two powers with the same base, we add the exponents.

1) (3a²b⁴) * (-8ab³)

= -24a³b⁷

2) (3a²b⁷) * (5a³b⁸)

= 15a⁵b¹⁵

3) (-2d² + s)(5d² - 6s)

Expanding the bracket to get;

(-10d⁴ + 5sd² + 12sd² - 6s²)

= -10d⁴ + 17sd² - 6s²

4) (3x - 6) * (2x² - 7x + 1)

= 6x³ - 33x² + 45x - 6

5) (7x²y³) * (3x⁵y⁸)

= 21x⁷y¹¹

6) (y² + 3y + 7) * (8y² + y + 1)

= 8y⁴ + 25y³ + 60y² + 10y + 7

7) (4s + 2) * (5s² + 10s + 3)

= 20s³ + 50s² + 32s + 6

Read more about product of Exponents at; https://brainly.com/question/847241

#SPJ1

The area expression as products is 7 * (8 + 6)

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

Area = 54 + 42

Express 54 as a product of 7 and 8

So, we have the following representation

Area = 7 * 8 + 42

Express 42 as a product of 7 and 6

So, we have the following representation

Area = 7 * 8 + 7 * 6

Factor out 7

This gives

Area = 7 * (8 + 6)

Hence, the expression using GCF is 7  * (8 + 6)

Read more about GCF at

https://brainly.com/question/12232865

#SPJ1

Answer:

x =4 & y = -7

Step-by-step explanation:

this is the right answer

Answer:

72

Step-by-step explanation:

We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.

Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.

72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.

Hope this helps!

The function rule that could be represented by the graph is given as follows:

y = 2x³ + x - 3.

The first step in defining the function is looking at it's y-intercept, which is the value of y when the graph of the function crosses the y-axis.

This value is of -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

Then we look at the behavior of the function. It has an inflection point, as it is concave down and then it becomes concave up, hence:

Thus:

f(x) = ax³ + x - 3.

Then we look at the x-intercept, meaning that when x = 1, y = 0, this the leading coefficient is obtained as follows:

0 = a + 1 - 3

a = 2.

Thus the function is defined as follows:

y = 2x³ + x - 3.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Distributive property of real numbers illustrated by the equation. -2(x 4)=-2x-8

The equation -2(x 4)=-2x-8 is an example of the distributive property of real numbers. This property states that when a number is multiplied by a group of numbers that are being added together, the number can be distributed to each of the terms in the group. To rewrite this equation as -2x + (-2)(-4) = -2x - 8, the number -2 is allocated to each of the terms in the group (x and -4) in this equation.Simplifying further, we get -2x - 8 = -2x - 8.

-2(x 4) = -2x - 8

Distribute -2 to each term in the group

-2x + (-2)(-4) = -2x - 8

Simplify

-2x - 8 = -2x – 8

Learn more about real number here

https://brainly.com/question/10547079

#SPJ4

Answer:

B=20

C = 40  

These are the answers

The value of y is 10. The measure m∠ C and m∠ D are 40° and 76° respectively.

What is external angle?

The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded adjacent side.

The measure of an external angle of a triangle is equal to the sum of opposite interior angles.

∠DEF is an exterior angle. The opposite interior angles of ∠DEF are m∠ C and m∠ D

Therefore,

m∠ C + m∠ D = ∠DEF

4y° + (7y + 6)° = 116°

Add like terms

11y + 6 = 116

Subtract 6 from both sides:

11y = 110

Divide both sides by 11:

y = 10

Putting y = 10 in  m∠ C = 4y° and m∠ D =  (7y + 6)°

m∠ C = 40°

m∠ D = 76°

To learn more about interior angle, click on below link:

https://brainly.com/question/20333276

#SPJ1

Answer:

7.7

Step-by-step explanation:

I got this by subtracting 13.3 - 5.6

(a) The probability of either A or B occurring is 0.81.

(b) The probability that neither A nor B will happen is 0.19.

In the given question,

P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42

(a) We have to find the probability of either A or B occurring.

P(A)=0.39

P(B)=0.42.

Since, events A and B are mutually exclusive

P(A and B) = 0

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.39 + 0.42 - 0

P(A or B) = 0.81

Probability of either A or B occurring is = 0.81

(b) Now we have to find the probability that neither A nor B will happen.

P(A or B) = 0.81

Probability that neither A nor B will happen = 1 - P(A or B)

Probability that neither A nor B will happen = 1 - 0.81

Probability that neither A nor B will happen = 0.19

To learn more about probability link is here

brainly.com/question/11234923

#SPJ4

The right question is:

The events A and B are mutually exclusive. Suppose P(A)=0.39 P(A) = 0.39 and P(B)=0.42. P(B) = 0.42.

(a) What is the probability of either A or B occurring? (Round your answer to 2 decimal places.)

(b) What is the probability that neither A nor B will happen? (Round your answer to 2 decimal places.)

Answer:

-8x+25x+5-7=3x-9

or ,17x -2=-9+2

or, -14x=-7

or, x=-7/-14

x=1/2

Answer:

-8x +25x +5-7=3x-9

17x-2 = 3x-9

17x-3x=9+2

14x =11

x= 14/11

The python program code is written to find the area of the shape.

The size of a region on a planar or curved surface is expressed mathematically as area. The term "surface area" refers to the area of an open surface or the perimeter of a three-dimensional object, whereas "plane area" refers to the area of a shape or planar lamina.

The program is given as:

print('Please, enter sides lengths:')

# Getting sides lengths

a, b, c, d, e = map(float, (input('A = '), input('B = '), input('C = '), input('D = '), input('E = ')))

# Finding a rectangle area

rect_area = a * b

# Finding a triangle area

triang_height = (c**2 - (a / 2)**2)**0.5

triang_area = 0.5 * a * triang_height

# Sum area

area = rect_area + triang_area

print('Total room area: %f' % area)

To know more about rectangles, visit:

https://brainly.com/question/29085356

#SPJ1

Answer: 3.74 inches.

Step-by-step explanation: We can use the following to help us solve this proportion:

1.4 / 1.54 = 3.4 / x (where x is the unknown value that we are trying to solve)

1.54 / 1.4 = 1.1

x / 3.4 = 1.1

The only number that can make the following above true is 3.74, so that is your answer.

Let me know if this is right! :)

Answer:

1. Scalene Triangle

2. 135 degrees

3. 80 degrees

I don't have much time for the rest, i'm sryyyyy

I hope i could helppp :3

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

The cartesian plane is defined in mathematics as a two-dimensional coordinate plane formed by the intersection of the x- and y-axes. The origin is the point where the x- and y-axes intersect perpendicularly.

Quadrant one (QI) is the top right fourth of the coordinate plane, where all coordinates are positive. Quadrant two (QII) is the coordinate plane's top left fourth. Quadrant three (QIII) is the fourth from the bottom left. Quadrant four (QIV) is the fourth from the bottom right.

Given:

The direction of rotation = clockwise, (from the first quadrant to forth quadrant then third quadrant, and so on)

Angle of rotation = 90° about the origin

According to the question, let's take our start point as A(x, y)

So, A( x, y) will lie in the first quadrant.

After 90° rotation about the origin A' will lies in fourth quadrant.

As per the sign system of the Cartesian plane coordinates of A' will be (x,-y).

To know more about the cartesian plane visit:

https://brainly.com/question/28574364

#SPJ1

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

The probability of men whose height falls between 70 and 73 inches is  0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

The standard deviation is a quantity that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability.

We are informed that the heights of men in the U.S are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. We need to determine the percent of men whose height falls between 70 and 73 inches. We would first evaluate the probability that the height of a randomly selected individual would fall between 70 and 73 inches;

This can be done in stat-crunch;

Click Stat, highlight on Calculators then click Normal

In the pop-up window that appears click Between

Enter the given values of mean and standard deviation; 70 and 3 respectively

Enter the values 70 and 73 in the next set of boxes in that order

Finally, click on compute;

Stat-Crunch returns a probability of 0.273. Therefore, the percent of men whose height falls between 70 and 73 inches is 27.3%. Therefore, the solution is 27.3%.

To know more about Standard Deviation refer to:

brainly.com/question/23907081

#SPJ4

Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:

Percentile Value is equal to z +.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.

Standard deviation may be written as SD.

A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.

Though in algebra, it is simpler

According to our question-

a. 157 is less then 161

b. n>173, n be a real number.

Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.

Learn more about standard deviation click here:

https://brainly.com/question/475676

#SPJ1

Answer:

n = 4

Step-by-step explanation:

2:8 ==> 2/8

1:n ==> 1/n

2/8 = 1/n

n * 2/8 = n * 1/n

2n/8 = 1

8 * 2n/8 = 8 * 1

2n = 8

n = 8/2

n = 4

Answer:

B

Step-by-step explanation:

5.21 x 10^19 + 3.149 x 10^17

10^17(5.21 x 10^2 + 3.149)

10^17(521 + 3.149)

10^17(524.149)

5.24149 x 10^17 x 10^2

5.24149 x 10^(17+2)

5.24149 x 10^19

Answer: b. 5.24149 × 1019

Step-by-step explanation: I took the test

The solution is

a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01

b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125

The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96

What is Compound Interest?

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the principal be P = amount after first period =  $ 402

Now , the rate of interest r = 6 %

The compound interest is calculated by compounding monthly

Now , the interest for the second period = ( PRT / 100 x 12 )

Substituting the values in the equation , we get

The interest for the second period = ( 402 x 6 x 1 ) / 1200

The interest for the second period = $ 2.01

The amount after the second period = amount after first period +  interest for the second period

The amount after the second period = 402 + 2.01

The amount after the second period = $ 404.01

b)

Let the principal be P = $ 18260

The rate of interest r = 2.5 %

The compound interest is calculated by compounding quarterly

Now , the interest for the first period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the first period = ( 18260 x 2.5 ) / 400

The interest for the first period = 45650 / 400

The interest for the first period = $ 114.125

The amount for the first period = 18260 + 114.125

The amount for the first period = $ 18,374.125

Now , the principal for the second period = interest + amount of first period

The principal for the second period = $ 18,374.125

The rate of interest = 2.5 %

The interest for the second period = ( PRT / 4 x 100 )

Substituting the values in the equation , we get

The interest for the second period = ( 18374.125 x 2.5 ) / 400

The interest for the second period = 45935.3125 / 400

The interest for the second period = $ 114.83828125

The amount for the second period = 18,374.125+ 114.84

The amount for the second period = $ 18,488.96

Hence , the amount and interest is calculated

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ1

Answer:

The first answer on the bottom goes with the picture on top.

The second answer on the bottom goes with the table on the bottom.

Step-by-step explanation:

It is just asking you to list the x values and the y value.  The x values are the domains and the y values are the ranges.  That's it.

Answer:

  30°

Step-by-step explanation:

You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.

The sine of the angle is the ratio of the height to the straight-line distance.

  sin(θ) = h/d = 2900/5800 = 1/2

  θ = arcsin(1/2) = 30°

The angle of elevation is 30° from the base to the top.

Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember  sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5  Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30

sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°

Step-by-step explanation:

The correct option regarding whether the two functions are inverse functions is given as follows:

B. No, because the composition does not result in an answer of x.

Two functions are inverses of each other if the composition of these two function has a result of x.

From the image given at the end of the answer, the two functions in this problem are defined as follows:

Their composition is given as follows:

[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]

[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]

[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]

The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.

The problem is given by the image shown at the end of the answer.

More can be learned about inverse functions at https://brainly.com/question/3831584

#SPJ1

There will be 40% chance that the team will win.

Odds, are given as (chances for success) : (chances against success) or vice versa.

If odds are stated as an A to B chance of winning then the probability of winning is given as P(winning) = A / (A + B) while the probability of losing is given as P(Losing) = B / (A + B).

For 2 to 3 odds for winning:

P(winning) = 2/2+3

                 = 2/5

                 = 0.4

⇒ The percent chance of winning is 40.

Therefore, 40% is the required answer.

Learn more in depth about the probability at https://brainly.com/question/24756209

#SPJ4

The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.

Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.

Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).

This is not defined when n=0.

so, when x= pi/4,

sin 4x = sin x = 0

which means w =0 .

and we get the equation for cosecant function  to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.

To learn more about trigonometry, visit link -https://brainly.com/question/29002217

#SPJ4

Answer:

D. 7

Step-by-step explanation:

[tex] \frac{ \sqrt{196} }{\sqrt{4} } \\ [/tex]

[tex] \frac{14}{2} [/tex]

=7

Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.

These numbers in Spanish are:

1. 49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

To know more about Spanish numbers refer to:

brainly.com/question/18035113

#SPJ4

Answer:

49: cuarenta y nueve

2. 97: noventa y siete

3. 113: ciento trece

4. 632: seiscientos treinta y dos

5. 1.781: mil setecientos ochenta y uno

6. 3.558: tres mil quinientos cincuenta y ocho

7. 1.006.015: un millon seis mil quince

8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta

Step-by-step explanation: