When seven times a number is decreased by 8​, the result is 13. What is the​ number?

By using law of sine we get A = 4.02 and C = 8.16 as a result.

The sides and angles of a plane or spherical triangle are related by the trigonometric law of sines. It asserts that all three sides and angles of a triangle have the same ratio of one side to the sine of the opposite angle. When some of this information is available, it can be utilised to determine the triangle's lengths and angles. Moreover, it can be used to surfaces with constant curvature in higher dimension.

The law of sines can be used to resolve this triangle:

Sine (A) = Sine (B) = Sine (C) (C)

B is equal to 35 degrees, A is 30 degrees, and b is 7. The law of sines can be used to find a and c:

Sin(30) = 7/sin a/sin (35)

Sin(30)=-0.988031

7×sin(30)/sin(35) = a = 4.02

7/sin = c/sin(115) (35)

7.4*sin(115)/sin(35) = 8.16

A = 4.02 and C = 8.16 as a result.

Diagram given below:

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We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.

In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.

To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),

we can set the function equal to zero and solve for x.

Setting h(x) = 0, we have:

(x - 6)(x^2 + 8x + 16) = 0

Setting x - 6 = 0, we find:

x = 6

Setting x^2 + 8x + 16 = 0,

we can attempt to factor or use the quadratic formula.

Therefore, the function:

h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.

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Answer:

The absolute value of +98 is simply 98. So, | +98| = 98.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

The absolute value of a number is its POSITIVE distance from 0, so as +98 is 98 away from 0, then |+98| = 98.

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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Answer:

the solution and explanation/work is in the images

Answer:

x+5 > 12

Step-by-step explanation:

A number plus 5 is greater than 12 represents x + 5 > 12.

Answer:

(-3, 1)

Step-by-step explanation:

The x-coordinate of the center is the opposite of the number in the x. So, in this case it is 3, and the opposite is -3.

Its the same for the y-coordinate: the opposite of -1 is 1.

Answer:

Y(n)=15n+40

Step-by-step explanation:

Lets represent the number of bean stalks she plant by n and

the yield by Y.

It says in the question that when she plants 2 stalks, each plant yields 70 ounces of beans. When she plants 8 stalks, each plant yields 160 ounces of beans.

Which means 2 stalks correspond to 70 ounces and 8 stalks corresponds to 160 ounces we could write the data Mathematically like:

(2 , 70) and (8 , 160) are our coordinates where the x-axis would be n the number of beans stalks planted  and y-axis would be Y the yield in ounces.

So we have two coordinates and to find the linear relationship we must find out the slope/gradient(m) of the linear function by the formula of slope:

\(m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{160-70}{8-2} \\\\m=\frac{90}{6} \\\\m=15\)

so we plug in one of the coordinates and our slope in the point-slope formula :

\(y-y_1=m(x-x_1)\)

where,

\((x_1,y_1)\ represent\ the\ coordinate\ (2,70)\)

so plugging in the coordinate and the value of m we get:

\(y-y_1=m(x-x_1)\\y-70=15(x-2)\\y-70=15x-30\\y=15x-30+70\\y=15x+40\\\)

so our the answer is the last option

Y(n)=15n+40

here x corresponds to n and y corresponds to Y(n)

Answer:

A - B = 11x² -9x + 14

A - B = 11x² -9x + 14

Answer:

It would be 1 whole

Step-by-step explanation:

1/2 - 1/2 is 0 the only thing left is one whole

The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

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

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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Answer:

To make it easier to display the answer, the answers are in the picture attached below!

I'm doing good this morning!

The correct option is B. The students knew whether or not music was playing while they were taking the exam

Given,

The class was split into two groups.

The first group took the midterm exam while background music was playing, and the second group took the exam without any background music.

In a blind experiment, any information that might affect the subjects is kept secret until the experiment is over. The pupils in this instance are aware of their group membership.

In order to answer this question, an experiment is carried out to see how music affects learning. One group of students studies while background music is playing, while the other group does not.

However, because of the background music playing here, the pupils are aware of which group they belong to. The experiment's outcomes are impacted by this.

Therefore the correct option is B. The students knew whether or not music was playing while they were taking the exam.

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Answer: I need to see the graph

Step-by-step explanation:

Answer:

A number that is 10x greater than 0.03 is 0.3.

Step-by-step explanation:

Answer:

The answer is c have a nice day

Answer:

It's C

Step-by-step explanation:

because 1.04 is closest to 1

The difference of the algebraic expressions is 3x² - 11x + 4

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The difference of two algebraic expressions means the subtraction of the expressions. That is:

(-4x+3) - (7x - 3x² - 1) = -4x+3 -7x+3x²+1

                                 =  3x² - 11x + 4

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Answer:

A) 1/2x-6=-2x-1

B) x=2

Step-by-step explanation:

question A is asking to set up a system of equations

f(x)=g(x) is the original expression

substitute the equations into this to get 1/2x-6= -2x-1

for b, when you solve this equation you get x=2

sorry for the formatting I'm new here

Step-by-step explanation:

hope you can understand

Answer:

x=-2 y=-3

Step-by-step explanation:

.

The set of ordered pairs that represents a function is (D) {(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}.

A set of ordered pairs represents a function if each unique input (x-value) is associated with only one output (y-value).

{(-4, -3), (-2, -1), (-2, 0), (0, -2), (0, 2)}

In this set, both (-2, -1) and (-2, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-5, -5), (-5, -4), (-5, -3), (-5, -2), (-3,0)}

In this set, all the ordered pairs have the same x-value (-5). Since (-5, -5), (-5, -4), (-5, -3), and (-5, -2) have the same x-value but different y-values, this set does not represent a function.

{(-4, -5), (-4, 0), (-3, -4), (0, -3), (3, -2)}

In this set, (-4, -5) and (-4, 0) have the same x-value but different y-values. Therefore, this set does not represent a function.

{(-6, -3), (-4, -3), (-3, -3), (-2, -3), (0, 0)}

In this set, each unique x-value is associated with a single y-value. There are no repeated x-values. Therefore, this set represents a function.

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The input that would give an output value of -1/3 is 19

A linear equation is an equation that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The table of values that completes the question is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the linear equation is given as

y = -1/3x + 7

From the complete question, the output value is given as:

y = 2/3

Substitute y = 2/3 in y = -1/3x + 7

2/3 = -1/3 * x + 7

Subtract 7 from both sides of the equation

-1/3 * x = 2/3 - 7

Take the LCM

-1/3 * x = (2 - 7 * 3)/3

Evaluate the product

-1/3 * x = (2 - 21)/3

Evaluate the difference

-1/3 * x = -19/3

Multiply both sides by -3

x = 19

Hence, the input that would give an output value of -1/3 is 19

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Answer:

answer is 19

Step-by-step explanation:

Answer:

494/22= 22.45

~ It took one person 22.45 hours to paint a wall

Therefore, the amount of time 19 people would do the job is

= 22.45 × 19

= 426.63 hours or 427 hours 3 minutes

Answer:

55.25

Step-by-step explanation:

So, all you gotta do is get rid of the decimal, times them both, then add the decimal back into it, and how you do that is you see how many numbers are behind a decimal point in the first place, in this case, it's two (8.5, 6.5) and you got your answer!

Hope this helps! <D

Answer:

6x

Step-by-step explanation:

2x-5x=-3x+9x=6x

espero que esto ayude por favor marque el más inteligente

Answer:

That would be 6x :)

Step-by-step explanation:

2x-5x=-3x+9x=6x

Answer:

Step-by-step explanation:

write a proportion and cross multiply to solve for x

\(\frac{60}{100} = \frac{x}{1280}\)

100x=76,800

x=768

60% full is 768 L. If the tank can hold 1,280 Liters, you need 512 more to fill it.

Alternatively...if the tank is 60% full, we need 40% more to fill it

\(\frac{40}{100} =\frac{x}{1280}\)

100x=51,200

x=512 L

The balance for each value of n is calculated by using the formula A = P(1 + r/n) ^nt. The rounded balance values are shown in the last column of the table above.

To complete the table and find the balance A if $3100 is invested at an annual percentage rate of 4% for 10 years and compounded n times a year.

The formula for calculating compound interest is as follows:

A = P(1 + r/n) ^nt,

where P represents the principal investment amount, r is the interest rate, n is the number of times the interest is compounded, t represents the time in years, and A represents the total amount, which includes the principal amount and the interest earned.

The table is given below:
\(\begin{array}{|c|c|c|} \hline \text{n} &

\text{A = P(1 + r/n) }^{nt} &

\text{Balance (rounded to nearest cent)} \\ \hline \text{1} &

\text{3100(1 + 0.04/1)}^{1*10} &

\text{\$4788.03} \\ \hline \text{2} &

\text{3100(1 + 0.04/2)}^{2*10} &

\text{\$4798.76} \\ \hline \text{4} &

\text{3100(1 + 0.04/4)}^{4*10} &

\text{\$4817.46} \\ \hline \text{12} &

\text{3100(1 + 0.04/12)}^{12*10} &

\text{\$4861.94} \\ \hline \end{array}\)

The balance is obtained by substituting the values of P, r, n, and t into the compound interest formula.

In this case, the investment is $3100, the annual interest rate is 4%, the investment is for 10 years, and n is the number of times the interest is compounded.

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Answer:

36 pieces

Step-by-step explanation:

4 1/8 ft x 4 1/8 ft = 49.5 in x 49.5 in = 2450.25 in^2

8.25 in x 8.25 in = 68.06 in^2

2450.25/68.06 = 36 pieces

checking for scrap loss:

49.5/8.25 = 6

so no scrap loss

The shape would you expect to have more lines of symmetry is  a regular octagon.

Regular octagon:

A regular octagon has 8 lines of symmetry as it has 8 sides.

Every regular polygon has as many lines of symmetry as the number of sides.

lines of symmetry = 8

Irregular decagon:

If a decagon is not a regular decagon, meaning its sides do not all have equal length, then the number of lines of symmetry varies.

we cannot decide lines of symmetry here because it depends on the length and angles of sides.

Therefore the shape would you expect to have more lines of symmetry is  a regular octagon.

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The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.

A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:

Perimeter of a rectangle = 2(length + width).

Given the following:

Therefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:

Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)

Combine like terms

Perimeter of rectangle = 2(7.3q - 6.7)

Perimeter of rectangle = 14.6q - 13.4

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