1. Examine your selected object and the construction you made from 1.08. What transformations (translations, reflections, or rotations) can you find in the construction? (10 points)

Answer:

(3/4)pi

Step-by-step explanation:

Find the areas of the two circles and then subtract the smaller from the larger:

A of circle = (pi)r^2

Case 1:  r = 1 unit:  A = (pi)(1) = pi

Case 2:  r = 1/2 unit:  A = (pi)(1/2)^2 = pi/4

The area lying outside of the smaller circle is therefore (pi) - (pi)(1/4) = (3/4)pi

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

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We want to see underline the correct part in each statement.

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

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Answer:

n=-11

Step-by-step explanation:

n-4=-15

n-4+4=-15+4

n=-11

Answer:

-2

Step-by-step explanation:

-3x + 4

-3(2) + 4

-6 + 4

-2

Substitute in 2 for x, and solve.

Answer:

421.88

Step-by-step explanation:

7.5^3=421.88

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

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Answer:

20 feet

Step-by-step explanation:

The area formula is lw=A, where l is the length, w is the width, and A is the area. So, plug in the known variables. This creates the equation l15=300. Then, solve for l by dividing both sides by 15. Therefore, l=20. You can check your answer by plugging in all of the variables to create the equation 20*15=300. This is a true statement, thus 20 feet must be the correct length.

Answer:

(x-7)(x^2-5)

Step-by-step explanation:

true

Step-by-step explanation:

Answer:

3x-3

Step-by-step explanation:

So false if you Multiply

Answer:

She sold 14 items

Step-by-step explanation:

530 - 180 = 350

350 / 25 = 14

Answer:

See attachment

Step-by-step explanation:

Step-by-step explanation:

The equation in the problem is in slope-intercept form. The slope-intercept form of a linear equation is:

y=mx+

lb

Where

m

is the slope and

b

is the y-intercept value.

y

=

−

4

x

+

1

Therefore, the slope of the line represented by the equation in the problem is:

m

=

−

4

Let's call the slope of a perpendicular line:

m

p

The slope of a perpendicular line is:

m

p

=

−

1

m

Substituting gives:

mp=

[tex] \dfrac{−1}{−4} = \dfrac{1}{4} [/tex]

Answer:

2×[tex]10^{5}[/tex]

aka 200000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Combining like terms occurs at this step:

3x - 6 + 6 = 3 + 6

Combining the - 6 + 6 =and 3 + 6 yields:

3x = 9

Answer:

121

Step-by-step explanation:

Since the two lines are parallel, they will have the same angles, so all we need to do is find the angle that is next to 59°. Let's label this y °.

In other words, y °, the angle next to 59°, is equal to x°.

Since we are dealing with angles of a straight line, we know that the two angles of either line will add up to be 180°.

So, 59° + y ° = 180°

Isolate y by subtracting 59 from 180.

180 - 59 = 121

y ° = 121

So, x° = 121°

Answer:

No, it is true that the probability of pulling a yellow bead is 0.40, but Suzy should not expect that exactly 40% of such a small number of beads pulled will be yellow. A large city's transit department claims that only 10% of city buses run off schedule.

Answer:

D I believe

Step-by-step explanation:

Answer:

the set of elements that are common to each of the given sets

Step-by-step explanation:

a) Keith's car will have less gas.

Locate the point in which miles driven = 90 (Between 60 and 120)

Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

well im guessing it the average highway speed 60 mph so it is $7

Answer:

The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].

Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.

Hence, the probability of drawing another pink ball after drawing the first pink ball would be:

[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]

Answer:

aaa is easy you can pitch the ball

Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have Owen's score in a card game is 6 points away from zero. David's score is the opposite of Owen's and is a positive value.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

A number cannot be negative and positive at the same time, therefore, Owens score is 6 points away from 0, but in the negative direction of number line. So, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

Therefore, Owen's score will be (-6) and David's score will be opposite to that of Owen's score and a positive value, which will be (+6).

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Step-by-step explanation:

so, he predicted he had 12 questions wrong.

that would have been a score of 38.

but he got 42.

that is a difference of 42-38 = 4.

now, accuracy could have different meanings like actual score vs. predicted score, or which questions were right or wrong (for real or predicted), or only looking at the questions that were right (real vs. predicted), ...

I assume it is the first one.

so,

100% = 38 (prediction)

1% = 100%/100 = 38/100 = 0.38

how many % are these 4 questions that his prediction was off from reality ?

4 / 0.38 = 10.52631579...

so, his prediction was off by about 10.53%

Answer:

38.66

Step-by-step explanation: