find an equation parallel to y=-8 and passing through (-6, -7)

x = 36° (option C)

The adjacent angles in a parallelogram are supplementary. This means the sum of the angles is equal to 180 degrees

The adjacent angles in this paralllelogram are (4x + 2)° and 34°

(4x + 2)° + 34° = 180°

4x + 2 + 34 = 180

4x + 36 = 180

4x = 180 - 36

4x = 144

Divide both sides by 4:

4x/4 = 144/4

x = 36° (option C)

Given:

f(x)= x² + 5x and g(x) = 3x + 2

Required:

To calculate

f(2)= g(2)=

(f+g)(x)=

(f+g)(2)=

Explanation:

a)-

b)-

c)-

Required answer:

A rational number between the two given ones is -2/5, such that:

-1/3 > -2/5 > -1/2.

Rememeber that a rational number is any number that can be written as a quotient between two integer numbers.

Here we want to find a rational number between -1/3 and 1/-2, we can rewrite the second one as -1/2.

Now we want to find a number x such that:

-1/3 > x > --1/2

Remember that:

-1/3 ≈ -0.33...

-1/2 ≈ -0.5

So a number between these two is -0.4 which can be written as -2/5 (this is also rational).

That is the number we wanted to find.

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The value of x when the income for selling x units of a video game is R=257x is x > 82.

From the information given, it was stated that the income for selling x units of a video game is R=257x and that the cost to produce the game is C =193x +5248.

To make a profit the income must be greater than the cost. The value of x will be:

257x > 193x + 5248

Collect like terms

257x - 193x > 5248

64x > 5258

Divide

x > 5248/64

x > 82

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The exact solution of log 3(2x - 1) + log 3(2x + 1) = log 3(x + 2) While x = 1 is 0.954.

Given:

log 3(2x - 1) + log 3(2x + 1) = log 3(x + 2)

= log 3(x + 2)

putting x = 1

= log 3( 1 + 2 )

= log 3 . 3

= log 3 + log 3

= 0.477 + 0.477

=0.954

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In this case we have the point (-2,4), since this represents the x and y coordinates of the solution of the system of equations, then:

x= -2

y= 4

Let's create the pair of equations:

1. ax+by=c

2. ex+fy=g

Randomly let's define the values of the coefficients a, b, e and f:

a= 1

b=2

e= -1

f= 4

With these values and the known coordinates of the solution, let's replace into the expressions of the system of equations and solve for c and g, like this:

Using the mathematical operations of subtraction and division, Dan needs more than 25 hours to make more than 300 sales calls for this week to achieve the weekly goal.

Subtraction and division operations are two of the basic mathematical operations.

The subtraction operation involves operating on the minuend using the subtrahend to arrive at the difference.

In other words, the difference from a subtraction operation is the minuend minus the subtrahend.

The division operation is then applied to the difference above to arrive at the quotient.

The number of sales calls per hour = 12

The expected sales calls per week > 480

The number of sales calls already made by Juanita = 180

The more hours required to make more than 300, x, is 25 or more hours (480 - 180)/12

Thus, the number of more hours, using mathematical operations, that Juanita needs to reach the weekly sales calls goal is 25 or more hours.

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To write the equation of the line that passes through (10,80) (5,65)

we will use the formula;

x₁ = 10 y₁ = 80 x₂ = 5 y₂ = 65

substituting the above into the formula;

we will go ahead and simplify

y- 80 = 3(x - 10)

y- 80 = 3x - 30

y -3x -80 + 30 = 0

y - 3x - 50 = 0

The above is the equation of the line.

To write in a slope-intercept form simply means to write it in the form;

y = mx + b

where m is the slope and b is the intercept

Hence;

y = 3x + 50

The above is the equation of the line in a slope-intercept form

Answer:

-3+x/7=-2 is equation, 7 is the answer

Step-by-step explanation:

-3+x/7=-2 add 3 to both sides.

x/7=1 multiply 7 to both sides

x=7 this is the answer

Answer:

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

x= 16

Step-by-step explanation:

The perimeter is the total length of the sides of a particular shape or figure.

Given that the triangle and square have an equal perimeter,

Perimeter of triangle= perimeter of square

Since a square has 4 equal sides,

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

Let's solve the above equation.

Simplify and expand:

5x -8= 4x +8

Move x terms to the left of the equation, constants to the right.

5x -4x= 8 +8

x= 16

Thus, the value of x is 16.

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Answer:

x = 16

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

As the sides of a square are equal in length, the perimeter of a square is four times the length of one side.

[tex]\begin{aligned}\implies \textsf{Perimeter of the square}&=4(x+2)\\& = 4x+8\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Perimeter of the triangle}&=2x+2x+(x-8)\\&=4x+x-8\\&=5x-8\end{aligned}[/tex]

If the perimeter of the triangle and the perimeter of the square are equal then:

[tex]\begin{aligned}\implies\textsf{Perimeter of the triangle}&=\textsf{Perimeter of the square}\\5x-8&=4x+8\\5x-8-4x&=4x+8-4x\\x-8&=8\\x-8+8&=8+8\\x&=16\end{aligned}[/tex]

Therefore, the value of x is 16.

Answer:

15

Step-by-step explanation:

Speed= 230 per hour

Distance=3,647

Formula

Time=Distance upon speed

divide 230 into 3,647=15 time

The probability that x≥5

P (x≥5) = P(5)+P(10)+P(15)+ P(20)

P (x≥5)= 0.1+0.25+0.1+0.15

P (x≥5)= 0.6

Answer:

C-10

A-90

B-10

Step-by-step explanation:

For rounding off to nearest tens, we compare the last digit.

Here, we want to make a unit conversion

Since we want to move from Fahrenheit to celsius, we are going to use the first formula

We simply are going to substitute the value of F = 35 into the equation

Thus, we have it that;

Answer:

Each bottle cost $0.20.  That is the unit rate

Step-by-step explanation:

[tex]\frac{5.00}{25}[/tex]

The equation of the line passing through points  (0,1) and (2,2) will be y = ( 1 / 2) x + 1

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope= 2-1   /   2-0  =  1 /2

Now pick one of the points and put in for y and x use (2,2).

2= 1/2(2) +b

2=1 + b

2-1 =1-1 +b   subtract 1 from each side

1 = b   This is your y-intercept

The equation will be written as:-

y = ( 1 / 2) x + 1

You can only subtract or divide?

Given the equation of the line in point-slope form:

Based on this, one point of the line is (-1, 3). Now, the slope-intercept form of the equation is:

Then, another point of the line is (0, 24/5) = (0, 4.8). Finally, the graph of the equation is:

Answer: 10,000

Step-by-step explanation:

Given:

To write it in scientific notation:

It can be written as,

Hence, the scientific notation is,

Answer: 16

Step-by-step explanation:

The perimeter of the triangle is [tex]2x+2x+x-8=5x-8[/tex].

The perimeter of the square is [tex]4(x+2)=4x+8[/tex].

Setting the perimeters equal to each other,

[tex]5x-8=4x+8\\\\x-8=8\\\\x=16[/tex]

Since the two cylinders are congruent, it means that their dimensions are exactly the same thing.

In other words, the radius of cylinder 1 is the same as that of cylinder 2, and the height of cylinder 2 is the same as that of cylinder 1. This is what it means for two solid shapes to be congruent.

Now, to find the volume of cylinder 2, we apply the frmula for the volume of a tyical cylnder:

Now,

radius of cylinder 2 = radius of cylinder 1 = 3

height of cylinder 2 = 8

Thus: r = 3, h= 8

Therefore:

Therefore the volume of cylinder 2 is 72pi cubic units (Option D)

Each Jet Ski should sell for $8288.

What is selling price?

The amount a buyer pays for a good or service is known as the selling price. It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of other companies in the market.

Let the selling price be x.

Therefore according to the question,

( x - 5600/ 5600) 100 = 48

=>  x - 5600 = 48 . 56

=> x = 2688 + 5600

=> x = 8288

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In order to solve the system, we can compare both y values from each equation:

So the solution for this system is the pair (0, -4), that is, x = 0 and y = -4.

Answer: x = 17

Step-by-step explanation:

         We can tell that these two angles are supplementary angles because we can use corresponding angles. See attached.

(x + 14)° + (9x - 4)° = 180°

x° + 14° + 9x° - 4° = 180°

14°- 4° + x° + 9x° = 180°

10° + 10x° = 180°

10x° = 170°

x = 17

B) 12/13

1) In this triangle, the sine of angle A is given by the opposite leg over the hypotenuse, so we can write it out. Since the hypotenuse is opposite to the right angle:

Note that we simplified that original ratio 36/39 dividing both numerator and denominator by 3

2) Hence, the answer is B) 12/13

The formula for determining the distance betwwen two points is expressed as

The distance is 16.03

The first 4 terms of given recursive formulas will be as follows

The recursive expression provides two pieces of information:

the first term in the sequence.

the pattern rule that takes each term from the previous term.

As we have G(1) = 18, G(n) = 2 · G(n − 1).

It's A geometric sequence with r as 2

∴ G(2) = 2 · G(2 − 1) = 2 · G(1) = 2(18) = 36.

∴ G(3) = 2 · G(3 − 1) = 2 · G(2) = 2(36) = 72.

∴ G(4) = 2 · G(4 − 1) = 2 · G(3) = 2(72) = 144.

As we have H(1) = 3, H(n) = 5 · H(n − 1).

It's A geometric sequence with r as 5

H(2) = 5 · H(2 − 1) = 5 . H(1) = 5(3) = 15.

H(3) = 5 · H(3 − 1) = 5 . H(2) = 5(15) = 75.

H(4) = 5 · H(4 − 1) = 5 . H(3) = 5(75) = 325.

As we have J(1) = 3, J(n) = J(n − 1) + 5

It's an arithmetic sequence with d as 5

J(2) = J(2 − 1) + 5 = J(1) + 5 = 3+5 = 8.

J(3) = J(3 − 1) + 5 = J(2) + 5 = 8+5 = 13.

J(4) = J(4 − 1) + 5 = J(3) + 5 = 13+5 = 18.

As we have M(1) = 3, M(n) = 2 · M(n − 1)

It's A geometric sequence with r as 2

M(2) = 2 · M(2 − 1) = 2 · M(1) = 2(3) = 6.

M(3) = 2 · M(3 - 1) = 2 · M(2) = 2(6) = 12.

M(4) = 2 · M(4 - 1) = 2 · M(3) = 2(12) = 24.

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The constant of proportionality that lies in all of the pairs of values that we have here is given as 17.5

This is the term that is used to refer to the ratio that is known for the fact that it helps to relate two values that are given in a proportional way.

For instance we are to find the constant proportionality of (9, 148.50)

This is given as 9 + 148.5 / 9

= 157.5 / 9

= 17.5

Then the second pair is (15 ,247.50)

In the same way 15 + 247.50 / 15 = 17.5

Hence we can see that the constant of proportionality in all of the pairs is 17.5

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Answer:

its 16.50 i literally just took the test trust me.

Step-by-step explanation:

9 x 16.50 = 148.50

15 x 16.50= 247.50

21  x 16.50 = 346.50!

hope this helps! =)

Answer:

a) The curved surface area is;

b) The volume of the cylindrical tank is;

Explanation:

Given that the cylindrical tank has height 15m and radius 7m.

The curved surface area of a cylinder can be calculated using the formula;

substituting the given values;

Therefore, the curved surface area is;

The volume of the cylindrical tank can be calculated using the formula;

Substituting the given values;

Therefore, the volume of the cylindrical tank is;