Question 5
If f(x) = 3x + 6 and g(x) = 6x + 3, what is f-g?
A f-g=9x +9
Bf-g=-3x + 3
Cf-g=-3x - 3
D f-g= 3x - 3

Answer:

P = 2x +2y + 14

Step-by-step explanation:

The perimeter of the rectangle is 2x + 2y + 14.

The perimeter of an object is calculated by adding the sides length of the objects.

Given that, the length and width of a rectangle is x+8 and y-1, we need to find the perimeter,

P = 2(length + width)

P = 2(x+8+y-1)

P = 2(x+y+7)

P = 2x+2y+14

Hence, the perimeter of the rectangle is 2x + 2y + 14.

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The results of the survey best illustrate the framing effect.

People make choices based on whether possibilities are given with positive or negative connotations, such as as a gain or a loss, according to a cognitive bias known as the framing effect.

When provided with a positive frame, people tend to avoid danger, but when offered with a negative frame, they tend to seek out hazards.

The scenario of framing effect defines gain and loss as descriptions of results.

The idea aids in the development of framing effect understanding in social movements as well as in the creation of political opinion, where spin plays a significant role in political opinion polls that are framed to encourage a response advantageous to the group that commissioned the poll. It has been asserted that the framing effect is invalidating political polls.

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Answer:

  80°

Step-by-step explanation:

Arc CB has the same measure as the central angle intercepting it. Angle COB measures 80°, so arc CB measures 80°.

The measure of minor arc CB = 80° and major arc CB = 280°.

Thus, the measure of minor arc CB = 80° and major arc CB = 280°.

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Answer:

531441

Step-by-step explanation:

Answer= The answer is 34=8194=6561

Answer:

0.0004

Step-by-step explanation:

divide the energy value by 1000

0.4/1000

The area of the sector in radians is calculated as: B. 8π units squared.

The area of a sector where the central angle of the sector that is shaded in a circle is given in radians is calculated using the formula that is expressed as:

Area of sector = (1/2) × r²θ; where we have:

θ = the angle subtended at the center/central angle measure in radians

r = the radius of the circle

Given the following:

The shaded area is half of the circle. Its measure would be 180 degrees which when expressed in radians would be π.

Central angle measure in radians (θ) = π

Radius (r) = 4 units

Plug in the values into the area of sector formula

Area of sector = (1/2) × r²θ = (1/2) × (4²)(π)

Area of sector = (1/2) × (16)(π)

Area of sector = (1 × 16 × π)(2)

Area of sector = (16π)(2)

Area of sector = 8π units squared

In conclusion, the area of the shaded sector in the image given below is calculated as: B. 8π units squared.

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Answer:

1) 0.75

2) y = \(\frac{3}{4}\)x - 3

3) (4, 0); (0, -3)

Step-by-step explanation:

Convert to slope-intercept form (y = mx + b) by solving:

y = \(\frac{3}{4}\)x - 3

m is the slope, so \(\frac{3}{4}\) or you can write as 0.75.

To find the x and y intercepts, set the y value to zero and solve (x-intercept), and b is the y-intercept.

To begin with

we have the inequality

To solve

Step 1: we will collect like terms

simplify the inequality above

Hence, the answer is

To draw the shape

Part B is correct

Answer:

y 1. 7

y 2. 20

y 3. 104

Step-by-step explanation:

So the rule is that the x+5 is goung to give you your y axis

1. 2+5=7

2. 15+5=20

3.99+5=10

Please name me brainliest I would greatly appreciate it Thank You

Answer:

Step-by-step explanation:

S = 2πr² + 2πrh

To solve for h move 2πr² to the other side of the equation

That's

2πrh = S - 2πr²

Next divide both sides by 2πr in order to isolate h

That's

We have the final answer as

Hope this helps you

Answer:

"My" friend is incorrect because, two translations would just move to it to a different area. While a reflection on the other hand will create that reflection that we need.

Step-by-step explanation:

Since 1.1584 > 1, the truck cannot pass under the archway without going into the other lane.

A semi-elliptic archway with a height of 15 feet at the center and a width of 50 feet can be visualized as half of an ellipse.

The major axis of the ellipse corresponds to the width, while the minor axis corresponds to the height. In this case, the major axis (a) is 25 feet, and the minor axis (b) is 15 feet.

To determine if a truck that is 12 feet high and 14 feet wide can drive under the archway without going into the other lane, we can use the equation of an ellipse: (x²/a²) + (y²/b²) = 1.

The truck will occupy half of the road width, which is 25 feet, so its horizontal distance from the center (x) is 25 - 7 = 18 feet, and its height (y) is 12 feet.

Plugging these values into the equation, we get: (18²/25²) + (12²/15²) = (324/625) + (144/225) ≈ 0.5184 + 0.64 = 1.1584.

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Answer:20.9248 degrees

Step-by-step explanation:

sin(θ)=opposite/hypotenuse

      θ=sin⁻¹(opposite/hypotenuse)

      θ=sin⁻¹(5/14)

      θ=20.9248 degrees      or θ=0.3652 radians

The original cost of the car was $12,935.74 (rounded to the nearest $100).

(a) To find the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 years, we can use the formula:

\(C = (1 - r)^n * C_0\)

where C is the value of the car after n years, C_0 is the original cost of the car, and r is the yearly depreciation rate.

Plugging in the values given, we get:

\(12,000 = (1 - r)^4 * 20,000\)

Solving for r, we get:

\(1 - r = (12,000/20,000)^(1/4) = 0.8185\)

r = 1 - 0.8185 = 0.1815

The depreciation rate for the car is 18.2% (rounded to the nearest tenth of a percent).

(b) To find the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 years, we can use the same formula:

\(C = (1 - r)^n * C_0\)

Plugging in the values given, we get:

\(10,000 = (1 - 0.11)^2 * C_0\)

Solving for C_0, we get:

\(C_0 = 10,000 / (0.89)^2 = $12,935.74\)

The original cost of the car was $12,935.74 (rounded to the nearest $100).

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Answer:

-1/2

Step-by-step explanation:

11. The area difference between them is 96 square units (192 - 96).

12. The trough stands 4 feet tall.

11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).

12. Let the height of the trough be h. The volume of the trough is given by the formula:

Volume = base area x height

Substituting the given values:

96 = 24h

Dividing both sides by 24:

h = 4

Therefore, the trough is 4 feet tall.

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The answer is the mean of the data set can be calculated by finding the sum of all the numbers in the data set and dividing it by the total number of values.

To find the mean of a data set, you need to add up all the values and then divide by the total number of values. In this case, you have the number of pitches seen by a player in 6 games.

Let's say the data set is as follows:

Game 1: 45 pitches
Game 2: 36 pitches
Game 3: 53 pitches
Game 4: 48 pitches
Game 5: 42 pitches
Game 6: 50 pitches

To find the mean, you need to add up all the numbers:
45 + 36 + 53 + 48 + 42 + 50 = 274

Next, divide the sum by the total number of values (in this case, 6):
274 / 6 = 45.67

Therefore, the mean of the data set is approximately 45.67.

To find the mean of a data set, add up all the values and divide the sum by the total number of values. In this case, the mean of the number of pitches seen by a player in 6 games is approximately 45.67.

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Answer:

4.8 or 48/10 or 4 8/10

Step-by-step explanation:

4/5 ÷ 2/12

4/5 × 12/2

4/5 x 6

4.8 or 48/10 or 4 8/10

I hope this helps! Have a great day!

Answer:

\(\frac{24}{5}\)

Step-by-step explanation:

Step 1:  Use the KCF method

KCF stands for keep change flip which means that we keep the first fraction, change the symbol, and flip the second fraction.

\(\frac{4}{5} / \frac{2}{12}\)

\(\frac{4}{5} * \frac{12}{2}\)

Multiply

\(\frac{4*12}{5*2}\)

\(\frac{48}{10}\)

\(\frac{48/2}{10/2}\)

\(\frac{24}{5}\)

Answer:  \(\frac{24}{5}\)

Prolific will bike 2 miles to get to the mechanic at the 6th gas station if the pattern continues.

Assuming the rate remains constant, we can use the equation d = rt, where d is the distance, r is the rate, and t is the time. In this case, we want to find the equation to determine the distance of the Nth gas station.

Let's analyze the given information:

The first gas station is 1.5 miles away.

From the second gas station onwards, each gas station is located at a distance 0.1 miles greater than the previous one.

Based on this pattern, we can write the equation for the distance of the Nth gas station as follows:

d = 1.5 + 0.1(N - 1)

B. To find the distance Prolific will bike to get to the 6th gas station, we can substitute N = 6 into the equation from part A:

d = 1.5 + 0.1(6 - 1)

= 1.5 + 0.1(5)

= 1.5 + 0.5

= 2 miles

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Answer:

  $900

Step-by-step explanation:

Kyle's commission on an extra $5000 in sales was ...

  $1575 -1350 = $225

So, his commission on $10000 in sales would be ...

  $225 × 2 = $450

Since $450 of Kyle's first month's sales was commission, his base salary was ...

  $1350 -450 = $900 . . . . Kyle's fixed monthly salary

Answer:

\(y = - 3x {}^{ - 12x - 1} \)

Step-by-step explanation:

Hope that's help your answer

∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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Answer: 2x + 4

Step-by-step explanation:

(x - 1) + (-x + 1) + (2x + 4)

Put like terms together

2x + x - x - 1 + 1 + 4

Combine like terms

2x + 0 + 0 + 4

2x + 4

The cost per ticket is $9, the cost of 5 ice cream cones is $14.58 and the cost of 12 bananas is $4.8.

a.

4 movie tickets cost $36.

cost per ticket = 36/4

= $9,

The cost per ticket is $9.

b.

3 ice cream cones cost $8.75.

1 ice cream cost = 8.75/3

= 2.916

5 ice cream cost = 2.916*5

= $14.58.

The cost of 5 ice cream cones is $14.58.

c.

5 bananas cost $2.00.

1 banana cost = 2/5

= 0.4

12 bananas cost = 0.4*12

= $4.8.

The cost of 12 bananas is $4.8.

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Answer:

D

Step-by-step explanation:

To find circumference, it's 2(pi)r

Twice the radius is the diameter, so it's 10/2 = 5

2*3.14*5

Since you don't multiply pi, it's 10(pi)

Answer:

D. 10π

Step-by-step explanation:

C= 2πr

r being the radius of the circle

r= d/2

= 10/2 = 5

. C= 2πr

C= 2×π×r

= 2×π×5

= 10π

∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

We are given that:

AB = BC

Now, draw a angle bisector from point B to the line AC in a way that it intersects AC at D.

Now, we get that:

∠ABD = ∠CBD ( BD is the angle bisector)

BD = BD ( common line)

So, ΔABD ≅ Δ CBD ( SAS property)

So,

∠A = ∠ C ( CPCT rule)

Also, it will be true for every isosceles triangle.

Therefore, we get that, ∠A = ∠C for every isosceles triangle and not only for this specific isosceles triangle.

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Your question was incomplete. Please refer the content below:

There is an isosceles triangle with AB = BC. Prove that ∠A = ∠C.

Did we prove the conclusion true for every isosceles triangle or only for this specific isosceles triangle.

Answer:

2

Step-by-step explanation:

because if 10 is the whole line of the base at the bottom of the trapezoid

and 8 is the whole top 10-8=2

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

The answer is A

Step-by-step explanation:

1 to the second power is 1 + 1 = 2

2 to the second power is 4 + 1 = 5

3 to the second power is 9 + 1 = 10

4 to the second power is 16 + 1 = 17

5 to the second power is 25 + 1 = 26

y = x² + 1 is a rule that could represent the given function.

Given that,
The order pairs (1, 2), (2, 5), (3, 10), (4, 17), and (5, 26) represent a function, what is a rule that could represent this function is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
While observing the pattern of pair it is found that every ordinate is 1 more the square of its abscissa, so the general equation for the function is given as,
y = x² + 1

Thus,  y = x² + 1 is a rule that could represent the given function.

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