20
10
A. A student selling candy bars for a fundraiser at a
rate of 25 bars per day.
B. The value of a baseball card increasing by 15%
each year.
C. The value of a stock that is depreciating by 15%
each year.

The circular is around 305 cm in circumeference.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting d = 97 cm and using the value of π to be 3.14159, we get:

C = πd

C = 3.14159 × 97 cm

C ≈ 304.731 cm

Rounding this to 3 significant figures, we get:

C ≈ 305 cm

Therefore, the circumference of the circle is approximately 305 cm.

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Answer:

Gloria's time was 2.5 minutes faster

Step-by-step explanation:

Answer:

The circle's circumference is approximately 106.81 centimeters.

Explanation:

The formula for the circumference of a circle is C = 2πr, where C is the circumference, π is pi (approximately 3.14), and r is the radius of the circle.

So, for a circle with a radius of 17 centimeters, its circumference can be found by:

C = 2πr

C = 2 x 3.14 x 17

C ≈ 106.81 cm

Therefore, the circumference of the circle is approximately 106.81 centimeters.

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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Volume of the cylinder =  6838.92 cubic inches

We have to given that;

Sam needs to fill a cylindrical container with punch.

And, The container has a radius of 11 inches and a height of 18 inches.

Since, To determine the amount of cat litter the cylinder can hold, we need to calculate the volume of the cylinder.

Volume of a cylinder = πr²h

Where,

r=radius

h= height

Then,

π=22/7 or 3.14 (constant value)

r=11 inches

h=18 inches

Volume of a cylinder is,

= 3.14 × (11)² × 18

= 6838.92 cubic inches

Hence, Volume of the cylinder =  6838.92 cubic inches

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Answer

64

Step-by-step explanation

The remainder theorem states:

when a polynomial p(x) is divided by the binomial x - a, the remainder obtained is p(a).

In this case, the polynomial is:

and the binomial is:

Therefore, the remainder is obtained by evaluating p(x) at x = 6, as follows:

Answer:

\(\=x=82\)

Step-by-step explanation:

From the question we are told that:

Data

\(\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}\)

Generally the equation for Point estimate \(\=x\) is mathematically given by

\(\=x=\frac{\sum_x}{n}\)

\(\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}\)

\(\=x=\frac{984}{12}\)

\(\=x=82\)

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

54 students n each bus

Step-by-step explanation:

I hope Im right

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

Answer:

x=5

Step-by-step explanation:

2:x:4

Lana Omar and George

Omar's share is 10 JD

22-10 is 12

2x+4x=12

6x=12

x=2

So put the ratio to

4:2x:8

x=5

x is 5.

Hope this helps Merry Christmas!

The expression is simplified to 1 over c raised to the twentieth power. Option C

The index form of a number can be defined as the number written as an exponential expression.

It is expressed as a single number raised to another number.

Another name for index form is standard form or scientific notation.

Index notation is also a way of representing variables or constants multiplied by themselves a number of times.

Example of index forms are:

a²

b³

c²

From the information given, we have to simplify

(c^4)^−5

Using the rule of indices, we have to multiply the powers

c^-20

Thus, the expression is simplified to 1 over c raised to the twentieth power. Option C

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Answer:

1 over c raised to the twentieth power

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

We know that the sum of the angles of a triangle is 180

Assume that the angles are equal

x+x+x = 180

3x= 180

x = 180/3 =60

All three angles are less than 90 which makes them acute so we know that we can have 3 acute angles

Answer:

Step-by-step explanation:

Set up an equation:

7x + 10x + 13x = 100000 and solve for x:

30x = 100000 so

x = 3333.33

Anna gets 7(3333.33) = 23333.31

Louise gets 10(3333.33) = 33333.33

Lacey gets 13(3333.33) = 43333.29

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

3 Stamps left

Step-by-step explanation:

275/8=34.375

34*8=272

275-272=3

Answer: 3

You have completed the first three parts correctly. Nothing to add from my side.

Answer:

w < 1.5

Step-by-step explanation:

We solve these almost identical to solving equations. By going backwards in the process.

14 - 12.5 = 1.5

w < 1.5

Hope this helps!

The equation is proved.

G\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`\)

We need to prove the given equation. Solution: Using the identity \(`sin2x=2sinxcosx` and `cos2x=1-2sin^2x`\)

in the given equation, we get

\(`tan(x-1)(sin2x-2cos2x)=2(1-2sinxcosx)`⟹ `tan(x-1)(2sinxcosx-2(1-\)

\(2sin^2x))=2(1-2sinxcosx)`⟹ `tan(x-1)(4sin^2x-2)=2-4sinxcosx`⟹ `2sin(x-1)\)

\((2sin^2x-1)=2(1-2sinxcosx)`⟹ `2sin(x-1)(2sin^2x-1)=2(1-2sinxcosx)`⟹\)

\(`2sinxcos(x-1)(4sin^2x-2)=2(1-2sinxcosx)`⟹ `2sinxcos(x-1)(2sin^2x-1)=1-\)

\(sinxcosx`⟹ `2sinxcos(x-1)(2sin^2x-1)=sin^2x+cos^2x-sinxcosx`⟹\)

`\(2sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-cosx)^2/2`\)

For `LHS`, using identity

\(`sin(90 - x) = cosx`⟹ `sinxcos(x-1)(2sin^2x-1)=(sinx-sin(91-x))^2/2`⟹\)

\(`sinxcos(x-1)(2sin^2x-1)=(-sin(x-1))^2/2`⟹ `sinxcos(x-1)(2sin^2x-1)=sin^2(x-\)

\(1)/2`⟹ `sinxcos(x-1)(4sin^2x-2)=sin^2(x-1)`⟹ `sinxcos(x-1)(2sin^2x-1)=1/2`⟹ `1/2=1/2`.\)

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The formula for volue is length x width x height.

The volume of the sand needed to fill the space is 240 feet³.

The total cost of the sand is $1240.

The brick patio is the shape of a rectangular prism. In order to determine the volume of the brick patio, determine the product of the length, width and the height.

Volume of the brick patio = length x width x height

= 10 x 12 x 2 = 240 feet³

Total cost of the sand = (volume x cost per cubic foot) + delivery fee

Total cost of the sand = (240 x $5) + $40

Total cost of the sand = 1200 + 40

Total cost of the sand = $1240

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Answer:  4

Step-by-step explanation:

Price divided by size is the formula for calculating the price per square foot (in square feet). For instance, if a 2,000-square-foot property is being sold for $300,000, the price per square foot would be $150 if you took the overall price and divided it by the size.

What do you mean by rectangular area?

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Answer:

its x = 2 :)

im rlly sorry if its wrong

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The triangles which are similar or congruent discussed below.

If the triangles are similar then the corresponding side ratios are equal.

1. 6/9 = 2/3

9/13.5= 2/3

8/12= 2/3

Thus, the triangle are similar.

2. The second case is neither similar or congruent.

3. The pair has one right angle common and one side measure 6 unit.

So, the triangle are neither similar or congruent.

4. The triangles have two angles equal.

so, the triangle are similar.

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