Charlotte read 8 books in 12 months. What was
her rate of reading in books per month?
O 2/7 books per month
O 2/5 books per month
O 1/3 books per month
O 2/3 books per month
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Answer:

10,000.0 Liters (l) = 10,000.0 Kilograms (kg)

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer:

gay

Step-by-step explanation:

i mean it starts with a g doesnt it?

Answer:

google?

Step-by-step explanation:

There are can be can be many things found on the pages starting with the letter g.

Answer:

8)5.1*10⁶

9)6.98*10 to the power of -6

10) 3.000052*10⁰

11)0.006548

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.

To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:

Present Value = Future Value / (1 + (Interest Rate × Time))

In this case:

Future Value = $4500

Interest Rate = 7.0%

= 0.07

Time = 5 years

Substituting these values into the formula:

Present Value = $4500 / (1 + (0.07 × 5))

Present Value = $4500 / (1 + 0.35)

Present Value = $4500 / 1.35

Present Value ≈ $3333.33

You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:

Future Value / (1 + (Interest Rate Time)) = Present Value

In this instance

$4500 is the future value.

Rate of Interest = 7.0% = 0.07

t = 5 years

Substituting these values into the formula:

$4500 / (1 + (0.07 5)) = Present Value

$4500 / (1 + 0.35) equals the present value.

Present Value = $4500 / 1.35

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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33

Using the formula for calculating the future value of a single sum:

Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)

We rearrange the formula to solve for the present value (PV):

PV = FV / (1 + Interest Rate * Time)

Plugging in the given values:

FV = $4500

Interest Rate = 7.0% = 0.07

Time = 5 years

PV = $4500 / (1 + 0.07 * 5)

PV = $4500 / (1 + 0.35)

PV = $4500 / 1.35

PV ≈ $3333.33

Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).

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Answer:

Suppose that a data set has a minimum value of 18 and a max of 83 and that you want 5 classes. Explain how to find the class width for this frequency table. What happens if you mistakenly use a class width of 13 instead of 14?

Step-by-step explanation:

Answer:

\(5q\sqrt{x} 3q\)

Step-by-step explanation:

gosh i hated 8th grade

Answer:

To solve this problem, we need to subtract the cost of the book and the total amount donated to charities from the total amount of cash Katye received for her birthday. Here are the steps:

Add up the value of the gifts Katye received:

Total value of gifts = (value of gift 1) + (value of gift 2) + ... + (value of gift 15)

Add up the value of the cash Katye received:

Total cash = $100

Subtract the cost of the book from the total cash:

Cash remaining after buying the book = $100 - $23

Determine the maximum number of $10 donations that Katye can make:

Maximum number of $10 donations = (cash remaining after buying the book) / $10

Multiply the maximum number of donations by $10 to get the total amount donated:

Total amount donated = (maximum number of $10 donations) x $10

Subtract the cost of the book and the total amount donated from the total cash:

Cash remaining = $100 - $23 - (total amount donated)

The final answer will be the cash remaining after these calculations

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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The following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

Given :

the values f ( x ) of a function f can be made arbitrarily large by taking x sufficiently close to 1 but not equal to 1.

Function :

In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and a co - domain.

x sufficiently close to 1 means x → 1

but x ≠ 1.

so function = \(\lim_{x \to \1} _1\) f ( x ) = ∞

Therefore the following statements which must be true is \(\lim_{x \to \1} _1\) f ( x ) = ∞.

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\(x-1=\dfrac{6}{x}\qquad(x\not=0)\\\\x^2-x=6\\x^2-x-6=0\\x^2+2x-3x-6=0\\x(x+2)-3(x+2)=0\\(x-3)(x+2)=0\\x=3 \vee x=-2\)

Answer:

first is 2.51

next is 2.76

Step-by-step explanation:

add .25 to each one

Answer:

178

Step-by-step explanation:

area of big rectangle : 143

area of small rectangle:20

area of triangle : 15

143+20+15= 178

The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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Answer:

thr answers are A and D of the question

The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.

Recall that; it follows from metric systems that;

100 centilitres = 1 litres.

On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;

= 0.00005 × 100 centilitres

= 0.005 centilitres.

Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.

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Answer:

-1/2

Step-by-step explanation:

i used my calculator. i cant really give a explanation

The approximate area of each pizza slice is 2.45 sq inches

From the question, we have the following parameters that can be used in our computation:

Diameter = 5 inches

This means that

Radius, r = 5/2 inches

Evaluate

Radius, r = 2.5 inches

The approximate area of each pizza slice is calculated as

Area = Circle area/number of sectors

So, we have

Area = 3.14 * 2.5^2/8

Evaluate

Area = 2.45 sq inches

Hence, the approximate area of each pizza slice is 2.45 sq inches

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The average rate of change of the traffic flow over the time interval 10 < t < 15 is 0.1085 cars per minute. Since this value is positive, the traffic flow is increasing over this time interval.

The traffic flow at the intersection is modeled by the function F(t) = 82 - 4sin(t) for 0 < t < 30, where F(t) is measured in cars per minute and t is measured in minutes.

To find the total number of cars that pass through the intersection over the 30-minute period, we can integrate the function over the time interval from 0 to 30 minutes. The integral of the function is given by:

∫F(t)dt = ∫(82 - 4sin(t))dt

= 82t - 4cos(t) + C

Evaluating this integral at t = 0 and t = 30, we get:

82(0) - 4cos(0) + C = 0

82(30) - 4cos(30) + C = 2184

Solving for C, we get C = -246.

Substituting this value back into the integral equation, we get:

∫F(t)dt = 82t - 4cos(t) - 246

Plugging in t = 30, we get:

∫F(t)dt = 82(30) - 4cos(30) - 246 = 2184 - 246 = 1939

Therefore, the total number of cars that pass through the intersection over the 30-minute period is 1939 cars.

To determine whether the traffic flow is increasing or decreasing over the time interval 10 < t < 15, we can find the average rate of change of the traffic flow over this time interval. The average rate of change is given by:

(F(t2) - F(t1))/(t2 - t1)

Plugging in t1 = 10 and t2 = 15, we get:

(F(15) - F(10))/(15 - 10)

= (82 - 4sin(15) - (82 - 4sin(10)))/(5)

= (-4sin(15) + 4sin(10))/5

= (-4(√(6)/4) + 4(1/2))/5

= (-√(6) + 2)/5

= (-1.4575 + 2)/5

= 0.5425/5

= 0.1085

The units of measure for the average rate of change are cars per minute.

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Answer The cost to get into the red cab is two dollars second question it cost two dollars per mile:

Step-by-step explanation:

The interval notation is { 5/ 2 < x > 0 }

Given the inequalities;

To determine the value of x, we have;

2x - 1 < 4

collect like terms

2x < 4 + 1

2x < 5

Make 'x' the subject

x < 5/ 2

−5x −3 > −3

collect like terms

-5x > -3 + 3

-5x > 0

x > 0

Thus, the interval notation is { 5/ 2 < x > 0 }

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Answer:

A right circular cone has only one circular edge

Step-by-step explanation:

You're welcome.

Answer:

1.43

Step-by-step explanation:

12 tenths ⇒ 1.2

23 hundredths ⇒ 0.23

0.23 + 1.2 = 1.43

The mistake that Katie made in the stem and leaf diagram, was that she D. Missed a length.

Looking at the stem and leaf diagram, we see that there are 14 leaves. This means that there are 14 lengths of caterpillars. However, there are 15 lengths shown on the table.

This means that there is a length missing that Katie failed to account for. Upon close inspection of the stem and leaf plot, we find that the missing length is a second value of 70 because there are two lengths that are 70 but this is shown only once on the stem and leaf plot.

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Answer:

c∥d by the converse of the corresponding angles theorem.

Step-by-step explanation:

Step-by-step explanation:

1.23

hdhdjdjdhdhdhjdjdjdjd

Answer:35652846437467

Step-by-step explanation:simple math

Answer:

follow me please and give thanks