Subtract (8x-2) -(5x-7)

Answer:

x = 7

Step-by-step explanation:

Subtract 7.2 from both sides of 11.3x + 7.2 = 86.3, obtaining:

11.3x = 79.1

Then x = 79.1 / 11.3 = 7

The answer is x = 7.

Please, when you list possible answers, separate them from one another using commas, semicolons or new entry lines.  Thank you.

Answer:

Step-by-step explanation:

First, you can reduce it

4(n^2-11n+30)

This should make it easier to work with. But remember, keep the 4 there. You cannot just get rid of it because it would change the value of the equation

Now find factors of 30 that have a difference or ad up to 11.

Factors of 30:

1, 30

2, 15

3, 10

5, 6

Ahh  yes, 5 and 6 add to 11

4(n-5)(n-6)

I would say an equation would look roughly as such:

y = - | x - 800 | + 50

If you want me to explain how I got to this conclusion just comment on my answer, If you were only looking for the answer then we are good. Brainliest is encouraged but not required :)

The absolute value equation representing the word count for the scholarship essay is |w - 800| <= 50, ensuring that the essay will be between 750 and 850 words long.

To represent the word count requirements for the scholarship essay using an absolute value equation, you can consider the midpoint of the word limit, which is the average between the minimum and maximum word count. This midpoint is at 800 words since (750 + 850) / 2 equals 800. Now, you can state the absolute difference from this midpoint that is allowed on either side of 800, which is 50 words, since 850 - 800 equals 50 and 800 - 750 equals 50. Therefore, the absolute value equation that represents the number of words (w) the scholarship essay should be is |w - 800| <= 50. This equation tells us that the word count can be 50 words fewer or 50 words greater than 800, perfectly capturing the range of 750 to 850 words.

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

log3 81 = 4

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (3)(3) of the right side (81)(81) equals the exponent (4)(4).

log3(81)=4

or

you can remember this

loga Y= X

so, a^x =y

The logarithmic form of the equation 81=3^4 is log3 81 = 4. It uses the base number 3 (which is being raised to a power), the result of the multiplication (81), and the number of times 3 is multiplied by itself (4).

The logarithmic form of the equation 81=3^4 can be found by applying the basic principles of logarithms. Remember, a logarithm is another way to express exponentiation, in a format that involves the base number, the exponent, and the result. Therefore, the logarithmic form of 81=3^4 is written as log3 81 = 4.

To understand this, consider the logarithmic expression log3 81 = 4. The base number (3 in this case) is the number being multiplied repeatedly (the number being raised to a power). The number 81 is the result of this multiplication, and 4 is the number of times base number, 3, is multiplied by itself to get 81. So, in this case, 3 to the power of 4 (3*3*3*3) equals 81.

So, in short, for the equation 81=3^4, the logarithmic form will be log3 81 = 4. This equation reads as "log base 3 of 81 equals 4".

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Answer:

504

Step-by-step explanation:

144X3.5=504

There are [tex]\( \boxed{504} \)[/tex] square inches in 3.5 square feet.

To convert square feet to square inches, we can use the given conversion factor that there are 144 square inches in 1 square foot. We need to determine how many square inches are in 3.5 square feet.

Here is the step-by-step calculation:

1. Start with the given conversion factor:

 [tex]\[ 1 \, \text{square foot} = 144 \, \text{square inches} \][/tex]

2. Multiply the number of square feet by the conversion factor to get the number of square inches:

 [tex]\[ 3.5 \, \text{square feet} \times 144 \, \text{square inches per square foot} \][/tex]

3. Perform the multiplication:

 [tex]\[ 3.5 \times 144 = 504 \][/tex]

Answer:

d. Set A and Set B

Step-by-step explanation:

We have been given three sets:

Set A: (5, 2), (4, 3), (3, 4), (2, 5)

Set B: (-1, -6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8, 4)

Now we need to state about which of the following sets of ordered pairs represent a function.

We know that a function can't have repeated values in domain that is x-value can't repeat.

we see that set C has repeated x-value "2".

Then set C is not a function.

Hence correct choice is:

d. Set A and Set B

Answer:

A and B represent functions.

Step-by-step explanation:

In a function, any input (x-) value may have only one associated y value.  If the same input appears more than once, we know immediately that the data do not represent a function.

A:  The inputs are unique:  {5, 4, 3, 2} so this is a function.

B:   The inputs are unique:  {-1, 0, 1, 3}, so this is a function.

C:   2 is used twice as input, so this is not a function.

g(x) =f(x) +3

given f(x) =3x

i.e. g(x) =3x+3

For F(x) to be same as g(x)

3 must be added to f(x)

i.e. h(x) =3x+3

->h(x)= 3x +3(1)

-> h(x) = f(x) +f(1)

-> h(x) =f(x+1)

Hence Option (a) is your answer...

Hope it helps...

Regards

Leukonov/Olegion

Answer:

A) h(x) =  f(x +1).

Step-by-step explanation:

Given : f(x) = 3x and g(x) = 3x + 3.

To find : Which transformation of f(x) will produce the same graph as g(x).

Solution : We have given

f(x) = 3x

For x = 1.

f(1) = 3 (1)

f(x) = 3.

Plug the value of f(x) =3x and f(1) = 3 in g(x).

g(x) = 3x + 3.

g(x) = f(x) + f(1).

We can write  f(x) + f(1) = f(x +1).

g(x) = f(x +1)

h(x) = f(x +1)

So, it is a new function produce the same graph as g(x).

h(x) =  f(x +1).

Therefore, A) h(x) =  f(x +1).

Answers:

1.) Each person gets half a bar. (1/2) (4 is half of 8. As such, breaking each bar in half and distributing it that way would make it so that everyone gets the same amount.)

Answer: 1/2

2.) Each person gets 2 packages.

Answer: 2/1 or 2

3.) Each rabbit gets 10/17 ths of a carrot.

10/17 cannot be simplified any further than it already is, as 17 is a prime number. This means that every rabbit simply gets 10/17ths of a carrot.

Answer:

100°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so the missing angle has measure ...

360° -44° -89° -127° = 100°

Answer:

100°

Step-by-step explanation:

Total angle measure of a quadrilateral is 360°

Add all the angles first.

44° + 89° + 127° = 260°

Quadrilateral has only four angle measures. And you need to find the fourth angle so,

360° - 260° = 100°

The fourth angle is measured 100°

Answer:

per 100 pencils he looses $75

Step-by-step explanation:

If he sells 100 pencils at $1.75 he will make $175 which is less than the $250 he spent for the 100 pencils. So per 100 pencils he looses $75

Answer:

5. mCD is 27.8°  |  7. mAFC 52.3° |

Step-by-step explanation:

Answer:

  (37/360)π cm² ≈ 0.322886 cm²

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where r represents the radius and θ is the central angle is radians

Here, you have r = 1 cm, and θ = (37°·π/180°), so the area is ...

  A = (1/2)(1 cm)²·(37π/180) = 37π/360 cm²

  A ≈ 0.322886 cm²

Answer:

The 3rd choice: 2/3 tank - 1/6 tank = 1/2 tank

Step-by-step explanation:

I assume those numbers are fractions.

The gas tank of Wendy’s car was 2/3 full. She used 1/6 of a tank of gas when driving to and from work. Which equation shows how full the gas tank is now?

We subtract 1/6 from 2/3. We need to use the common denominator 6.

2/3 - 1/6 = 4/6 - 1/6 = 3/6

Now we reduce 3/6.

2/3 - 1/6 = 1/2

Answer: 2/3 tank - 1/6 tank = 1/2 tank

For this case we must build a quotient, such that when multiplied by the divisor and then change the sign, go eliminating the terms of the dividend until you reach the remainder.

It must be fulfilled that:

Dividend = Divider * Quotient + Remainder

ANswer:

Option D

See attached image

Answer:

4.1 =y

Step-by-step explanation:

This is a problem involving trig.

sin of a angle is equal to opposite side divided by hypotenuse

sin 36 = y / 7

Multiply each side by 7

7 sin 36 = y/7 * 7

7 sin 36 = y

4.1144 = y

To 1 decimal place

4.1 =y

Answer: i think the answer is B for number 1

Step-by-step explanation:

Answer:

1.

The slope is : [tex]\frac{8.4-4.2}{2-1}[/tex] = 4.2

[tex]\frac{12.6-8.4}{3-2}[/tex] = 4.2

We can see that the distance is same each time.

Hence, the equation that represents the relationship between the distance traveled and the elapsed time is [tex]f=4.2p[/tex]

2.

Let the amount of money needed be = z

Total bags purchased = n

Cost of 1 bag = $1.58

So, the required equation is :

[tex]z=1.58n[/tex]

3.

When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. This is True.

Here the water level is dependent on the amount of rainfall so water level is dependent and rainfall is independent. Rainfall is not dependent on the water level in a lake.

4.

Let y represents the distance the plane has traveled.

Let z represents the time it has spent traveling.

distance = speed x time

So, [tex]y=600z[/tex]

5.

Diana can earn money for the tickets she sells. Here tickets are independent and money earned is dependent on the number of tickets sold. The more tickets sold, the more money Diana can earn.

So, the answer is : C: The number of tickets sold is the independent variable because it affects the amount of money earned.

Final answer:

None of the given points A (-1, -9), B (1, 9), and C (1/2, 3) lie on the graph of y=32x, as the calculated y values using the equation do not match the given y values of the points.

Explanation:

The question asks which of the following points does not lie on the graph of y=32x. To determine this, we need to substitute the x value of each point into the equation y=32x and see if the resulting y value matches the y value of the point.

For point A (-1, -9), substituting x = -1 gives y = 32(-1) = -32, which does not match the y value of point A, so A does not lie on the graph.

For point B (1, 9), substituting x = 1 gives y = 32(1) = 32, which does not match the y value of point B, so B also does not lie on the graph.

For point C (1/2, 3), substituting x = 1/2 gives y = 32(1/2) = 16, which does not match the y value of point C, so C also does not lie on the graph.

All given options A, B, and C do not lie on the graph of y=32x because the calculated y values do not match the provided y values of the points.

Answer:

About 23 in

Step-by-step explanation:

2908.33/7=415.475

415.475/[tex]\pi[/tex]=132.31

132.31 sqr rt = r = 11.5

2r=d

d=23 aprox

The diameter of the cylinder is approximately 22.94 inches.

To find the diameter of the cylinder, we can use the formula for the volume of a cylinder:

Volume [tex]= \pi \times r^2 \times h,[/tex]

where π is a mathematical constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.

Given that the height of the cylinder is 7 inches and the volume is 2,908.33 cubic inches, we can rearrange the formula to solve for the radius:

Volume [tex]= \pi \times r^2 \times h[/tex]

[tex]2,908.33 = \pi \times r^2 \times 7[/tex]

Dividing both sides of the equation by 7π, we have:

[tex]r^2[/tex] = 2,908.33 / (7π)

[tex]r^2[/tex] ≈ 131.50

Taking the square root of both sides, we get:

r ≈ √131.50

r ≈ 11.47.

The radius of the cylinder is approximately 11.47 inches.

To find the diameter, we multiply the radius by 2:

d = 2 [tex]\times[/tex] r

d ≈ 2 [tex]\times[/tex] 11.47

d ≈ 22.94

For similar question on diameter.

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Answer:

x = 4 ± [tex]\sqrt{13}[/tex]

Step-by-step explanation:

Given

x² - 8x + 3 = 0 ( subtract 3 from both sides )

x² - 8x = - 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 3 + 16

(x - 4)² = 13 ( take the square root of both sides )

x - 4 = ± [tex]\sqrt{13}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{13}[/tex]

The value of equation  x² - 8x + 3 = 0 using the completing the square method is found as  x = 4 ± √13.

To solve the equation x² - 8x + 3 = 0 using the completing the square method, follow these steps:

To solve the equation x² - 8x + 3 = 0 using the completing the square method, follow these steps:

Answer: Approximately 3799 or 3800 cubic inches

Step-by-step explanation:

To find the volume of a cylinder I imagine I'm first finding the area of one of the circular "bases" (top or bottom) using the formula: Area = pi x radius squared. Once you have the area of a base, imagine you "stack" as many of them on top of each other until you get to the given height (here, it's 10 in. tall).

So . . . pi (3.14) x 11 (radius)^2 (3.14 x 11 squared) = 3.14 x 121 = 379.94 x 10 in. tall = 3799.4 cubic inches (in^3)

Answer:

It only counts as a zero when the y-intercept is (0,0).

Step-by-step explanation:

The zeros of a quadratic function are always written as (x,0), while the y-intercept is always written as (0,y). Therefore, in order for a y-intercept to be a zero, it must be (0,0), because the y-coordinate in any zero is 0. At any other time, the y-intercept is not a zero.

Final answer:

The y-intercept represents the starting value of the relationship when x is zero, but it is not considered a zero itself.

Explanation:

The y-intercept, also represented as 'b' in the equation y = mx + b, is the point where the line intersects the y-axis. It indicates the starting value of the relationship when x is zero. However, the y-intercept does not count as a zero because it represents a specific value on the y-axis, rather than being a zero value on the x-axis. For example, if the y-intercept is 5, it means that the line starts at the point (0, 5) on the coordinate plane.

When multiplying exponents, they actually get added.

You can see that the x^9 and the x^2 become x^11.

This means for y to end u p at y^20, with one of them y^10, the other one would also need to be y^10.

n = 10.

Answer:

The correct answer is 10.

Step-by-step explanation:

If you have a product of numbers with the same base, by definition you can add the exponents.

So you have:

yⁿ2x⁹yⁿ4x²y¹⁰=8x¹¹y²⁰

Using the rule of product for x you have:

8x¹¹yⁿy¹⁰=8x¹¹y²⁰

Simplifly 8x¹¹ in both sides of the equation.

yⁿy¹⁰=y²⁰

Using the rule of product for y you have:

yⁿ⁺¹⁰=y²⁰

Divide by y on both sides:

n+10=20

Subtract 10 on both sides:

n=10

since height to base ratio is tan73 so approx ratio is 3.27

The approximate height-to-base ratio is 3.27: 1

Given,

A 20-foot ladder is set up against a building so that the ladder makes an angle of 73° with the ground.

The height, h, is the vertical distance from the top of the ladder to the base of the building.

The base, b, is the horizontal distance from the bottom of the ladder to the base of the building.

We need to find what is the approximate height-to-base ratio.

Sin Ф = Perpendicular / Hypotenuse

Cos Ф = Base / Hypotenuse

Tan Ф = Perpendicular / Base

Find the height in the figure.

Sin 73 = h / 20 ft

Sin 73 = 0.9563

So,

0.9563 = h / 20 ft

h = 0.9563 x 20 ft

h = 19.126 ft

Find the base in the figure.

Cos 73 = b / 20 ft

Cos 73 = 0.2924

0.2924 = b / 20 ft

b = 0.2924 x 20 ft

b = 5.848 ft

Find the approximate height-to-base ratio.

= h : b

= 19.126 : 5.848

= 3.27 : 1

Thus the approximate height-to-base ratio is 3.27: 1

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Answer:

The monthly cost would be equivalent to [tex]=0.37x+5[/tex]

Answer:

C, Plus or minus 3

Step-by-step explanation:

to solve 3x² - 27 = 0, we want to get the x by itself, so lets add 27 to both sides.

3x² = 27 < divide both sides by 3 to get x alone

3x²/2 =x²

27/3 = 9

x² = 9 < we can use the square-root property and square both sides of the equation to get x alone. we use the ± because there are 2 possible solutions to a square rooted number

√x² = x

√9 = 3

x = ±3

looking at our answer choices, the correct answer is C

Answer:

C. Plus or minus 3

Step-by-step explanation:

Take a GCF of 3 out of both terms in the binomial. You'll get 3*(x^2-9)=0. Then use FOIL to get the binomials (x+3) and (x-3). You're answers will  be -3 and 3

Answer:

10th term of the sequence 64,16,4... = 1/4096

Step-by-step explanation:

Points to remember

nth term of GP is given by.

Tₙ = ar⁽ⁿ⁻¹⁾

Where r is the common ratio and a is the first term

To find the 10th term of given GP

It is given that,

64, 16, 4,......

a = 64 and 6 = 1/4 Here

T₁₀ = ar⁽ⁿ⁻¹⁾

 = 64 * (1/4)⁽¹⁰⁻¹⁾ = 64 * (1/4⁹)

 = 4³/4⁹ = 1/4⁶ = 1/4096

Answer:

x = 8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

x² + 6² = 10²

x² + 36 = 100 ( subtract 36 from both sides )

x² = 64 ( take the square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

The answer is in the pic below and good luck,!

Answer:

y=3.15

Step-by-step explanation:

I am assuming you meant 2.8y in your equation.

Plug in for x

6.4(3)+2.8y=44.4

6.4*3=19.2

So now 19.2 + 2.8y = 44.4

44.4-19.2=25.2

25.2/2.8=3.15

Meaning Y=3.15