When Joseph moved into a new house, he planted two trees in his backyard. At the time of planting, Tree A was 16 inches tall and Tree B was 37 inches tall. Each year thereafter, Tree A grew by 6 inches per year and Tree B grew by 3 inches per year. Let AA represent the height of Tree A tt years after being planted and let BB represent the height of Tree B tt years after being planted. Write an equation for each situation, in terms of t,t, and determine the interval of time, t,t, when Tree A is taller than Tree B.

Answers

Answer 1

The tree A is 3t taller than tree B.

Equation to represent tree A = 16 + 6t

Equation to represent Tree B= 37+ 7t

What is linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that : Tree A was 16 inches tall and Tree B was 37 inches tall.

Tree after 't' year

A= 16 + 6t

B = 37 + 7t

so,

A-B= 16 + 6t -(37+3t)

    = 16 + 6t - 37 -3t

    = 3t- 21

As tree A grew 2 times the tree B

then t'= 2t

A'- B'= 3t' -21

        = 3(2t)-21

        =6t -21

Thus, (A'- B')(A-B) = 6t-21- (3t-21)

                   = 6t-3t

                   = 3t

Hence the tree A is 3t taller than tree B

Equation to represent Tree A = 16 + 6t

                                     Tree B= 37+ 7t

Learn more about linear equation here:

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How many times does 7/4 go into 7?

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Answer:

1.75

Step-by-step explanation:

When you get a question like "How many times does 4 go into 7?", just think of it as how many times you can fit 4 into 7.

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Step-by-step explanation:

Question 9 of 10
What is the value of y?
8
60-
12
12
60-
12
O A. 360
B. 120°
C. Cannot be determined
D. 60°

Answers

Answer:

D 60° is the correct answer.

because: It is equilateral triangle

(triangle, which's sides and angles are equal)

if sides are equal, angles are equal too.

or

if we have two angle guven, then subtract their addition from 180° to get third angle.

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. If a student is randomly choosing the answer to each of ten true-false questions in a test, what is the probability that he will have at most one incorrect answer (express the answer with four decimal places)

Answers

Answer:

0.0107

Step-by-step explanation:

Given that:

Probability of success in choosing a true - false answer :

(Number of correct answers / number of options)

= 1/2 ; p = 0.5

Number of questions = number of trials, n = 10

Probability of having atmost one incorrect answer :

p(incorrect answer) = 0.5

P(x ≤ 1) = p(0) + p(1)

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

When x = 0

P(x = 0) = 10C0 * 0.5^0 * 0.5^10

P(x = 0) = 1 * 1 * 0.0009765625

P(x = 0) = 0.0009765625

When x = 1

P(x = 1) = 10C1 * 0.5^1 * 0.5^9

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cover the costs:
Mrs. Smith is taking 120 students to a museum. She must collect the amounts below from each student
• $3.50 for the bus
• $2.70 for lunch
• $2.50 for admission to the museum
What is the total amount of money Mrs. Smith must collect from the students?
A. $720
OB. $934
C. $1,020
D. $1,044

Answers

Answer:

D. 1,044 is the total amount of money Mrs. Smith collected

I need help on my homework

Answers

Answer:

[tex]\displaystyle m\angle AED=32.5^\circ[/tex]

Step-by-step explanation:

Angles in a Circle

An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.

Segments AE and DE are secants of the given circle. They form an exterior angle called AED.

The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.

Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:

[tex]\displaystyle m\angle AED=\frac{AD-BC}{2}[/tex]

[tex]\displaystyle m\angle AED=\frac{113^\circ-48^\circ}{2}=\frac{65^\circ}{2}[/tex]

[tex]\displaystyle m\angle AED=32.5^\circ[/tex]

The circumference of a circle is 6π ft. What is the area, in square feet? Express your answer in terms of
π

Please help

Answers

Answer:

Circumference of the circle 2π(radius)=6π ft

Therefore, radius=3 ft

Area=π(radius)²=π×3²=9π ft²

9π ft² is the right answer.

The area of circle is 9π square feet.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

The circumference of circle = 2πr

6 = 2πr

r = 3π

And the area of circle is πr².

The area of the circle = 9π

Therefore, the area of the circle is 9π square feet.

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Step-by-step explanation:

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Step-by-step explanation:

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The answer is going to be 115 degrees

Answer:

115°

Step-by-step explanation:

its in the middle of 60° and 70°

Surface area of a cylinder

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Answer:

Right cylinder

Step-by-step explanation:

Solve for surface arb

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The general formula for the total surface area of a cylinder is T. S. A. =2πrh+2πr2 .

Simplify this expression.

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5.5n-0.5p-4

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Step-by-step explanation:

k/4=33/20

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Write two ratios that are equivalent to 5:4

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10:8

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Step-by-step explanation:

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Step-by-step explanation:

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What percent of 285 is 15?

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Answers

Answer:

The answer is 5.26

Step-by-step explanation:

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PLEASE ANSWER THIS AND IF YOU DO YOU GET
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Answer:

i will give you the answer

Step-by-step explanation:

but what do you need

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Answer:

see below

Step-by-step explanation:

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[tex]3a^\frac{5}{3} =\sqrt[3]{3a^5}[/tex]

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.


See the picture


Please

Answers

Answer:

100.3

Step-by-step explanation:

Area of parallelogram = 10 * 5 = 50 (As to find the area of a parallelogram, you would need to multiply the height and base: just like a rectangle)

We now have to work out the area of the two semi-circles. Both semi-circles have the same diameter which is 8, which means the semi circles are of the same size. Therefore we would just need to work out the area of 1 semi-circle and apply it to the second semi-circle (if that makes sense).

Area of semi-circle = 1/2(πr2 ) --> The '2' is supposed to be squared of r

radius = 8/2 = 4

1/2 (π*4*4)

Put that in calculator and should equal = 8π (Area of 1 semi-circle)

Area of 2 semi-circles  = 8π + 8π = 16π

Total Area = (Area of parallelogram) + (Area of 2 semi-circles)

TA = 50 + 16π

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Hope this helps :)

Answer:

100.2 square units

Step-by-step explanation:

The figure comprises of two semicircles and a parallelogram.

The two semicircles add to one full circle.

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A = πr² A = 3.14*(8/2)² = 3.14*16 = 50.2 square units (rounded to the nearest tenth)

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Eduardo worked 40 regular hours last week plus 7 hours over time at time and a half his gross pay was 757.50 what is his hourly rate.

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Answer:

divide

Step-by-step explanation:

and youll find the answer

Answer:

30

Step-by-step explanation:

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$680 Dollars would be the price if you had to deduct 20%

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Answer:

The average number of machine cycles per instruction for this microprocessor is 5.8.

Step-by-step explanation:

To find the average number of machine cycles per instruction for this microprocessor, we multiply each number of cycles for it's relative frequency.

We have that:

25% require 2 cycles.

20% require 3 cycles.

17.5% require 4 cycles.

12.5% require 8 cycles.

25% require 12 cycles.

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It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must get from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?

Answers

Answer:

1: 10 seconds   2: 4 seconds  3: 12 seconds

Step-by-step explanation:

35.0/3.5= 10

4.80/1.20= 4

60.0/5.00= 12

Anyone please help me

Answers

I think it’s 5/4 because from (0,-1) you go up 5 and then left 4

Answer:

-5/4

Step-by-step explanation:

please help ill give brainliest
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Answers

Answer:

option 2

Step-by-step explanation:

Answer:

-2 2/3,   -2.5,   1.3,  1 1/2,   3

Step-by-step explanation:

So least to greatest

First we should look at the negatives

The smallest number is -2 2/3

The second smallest number is -2.5

The third smallest number is   1.3

The fourth smallest number is   1 1/2

The last number should be the biggest number which would be 3 in this problem

To make this easier you can convert all the fraction to decimal points too

-2 2/3 would be around -2.66

1 1/2 would be 1.5

Hope i helped you

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Answer: Z < 9

Step-by-step explanation:

Adding 8 to both sides gives [tex]Z < 1+8=9[/tex].

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Answer

603800

Step-by-step explanation:

Yuh

Can please thank you

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Answer:

She would need to work at least 11.363636 hours

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Answer:

b

Step-by-step explanation:

Answer: B.) 2

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Just took the test and got it correct

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