A circular garden has a circumference of 42.3 feet. Find the approximate diameter of the garden. Use 3.14 for π.

Answer:

35177.51057 (Rounded - 35177.5)

Step-by-step explanation:

Compound Interest -

- Recalculates how much you should be getting

The format will ALWAYS be y=[tex]ab^x[/tex]

A = Starting Value

B = Multiplier

X = Time (years)

5% = .05

1.00 + .05 = 1.05%

y=25,000(1.05)^7

= 35177.51057

Let me know if i did anything wrong <3

The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.

A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.

Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

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Answer:

the carpenter lost 500

Step-by-step explanation:

if he bought the table for 3500 and spent an additional 500 on repairs but only sold it for 3500 he didn't make a profit and lost 500

Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]

The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{569 - 540}{25}[/tex]

Z = 1.16

Z = 1.16 has a p-value of 0.877.

0.877 = 87.7% probability of a bulb lasting for at most 569 hours.

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Answer:

52.56 square inches.

Answer:

B.

Step-by-step explanation:

They form a right angle.

Answer:

B

Step-by-step explanation:

if A were true, this hole shape could not be a triangle as AC and BC would be parallel and never have an intersecting point.

C - the line BC intersects the line EC but only at the very end point. but to bisected means to split it in half, so the intersection would have to be in the middle.

D - the line AC is only perpendicular to DE, and while DE is a perpendicular bisector to AC, AC itself does not split anything in half.

Answer:

10:

7/4π = 5.5(1decimql place)

11:

50π = 157.1(1 decimal place)

Step-by-step explanation:

the equation is (angle/360) X πr^2

The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127

Total cost = Available amount + needed amount

250 = 123 + m

subtract 123 from both sides

250 - 123 = m

127 = m

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The dog was running toward the trainer to receive a treat the correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.

Therefore the dog was running toward the trainer to receive a treat the correct answer is option B.

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Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.

The volume of the complete sculpture = 4(Volume of a single pyramid)

                                                                 = 4[(1/3) × (2 ft)² × 1.5 ft]

                                                                 = 4(2 ft³)

                                                                 = 8 ft³

Hence, the amount of sculpting material needed is 8 ft³.

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Answer:

8ft.^3

Step-by-step explanation:

I just took the test on edge :)

Based on the bar graph, the true statement is that: C. more 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

A bar graph is used for the graphical representation of data, especially by using rectangular bars or vertical columns.

From the information provided, we can deduce the following points about the audiobook listeners:

Age                                 Relative frequency

13 to 17                                      0.08

18 to 25                                     0.15

26 to 35                                    0.23

36 to 45                                    0.45

46 and over                              0.47

Based on the frequency table for the bar graph, we can logically deduce that more 36 to 45-year-olds with a frequency of "0.45" listen to audiobooks than 26 to 35-year-olds with a frequency of "0.23."

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Complete Question:

People of different ages were asked the question "Do you listen to audiobooks?" The bar chart displays the percentage of "yes" responses in each age group. Which of the following statements is correct?

A. More 18- to 25-year-olds listen to audiobooks than 26- to 35-year-olds.

B. Fewer 18- to 25-year-olds listen to audiobooks than 13- to 17-year-olds.

C. More 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

D. Fewer 36- to 45-year-olds listen to audiobooks than 26- to 35-year-olds.

The option not represented by one of the letters in PITI is (a) Title

The acronym is give as:

PITI

The meaning of the above acronym is:

From the list of given options, we can see that Title is not represented in the letters

Hence, the option not represented by one of the letters in PITI is (a) Title

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The option which is not represented by one of the letters in PITI is,

(a) Title

We have to given that,

The acronym is give as:

⇒ PITI

Since, We know that,

The full form of the above acronym PITI is:

P = Principal

I = Interest

T = Taxes

I = Insurance

Hence, From the list of given options, we can see that Title is not represented in the letters

Therefore, the option not represented by one of the letters in PITI is (a) Title

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Answer:

2.

[tex]x = \frac{11}{4} = 2 \frac{3}{4} = 2.75[/tex]

3.

[tex]x = \frac{5}{2} = 2 \frac{1}{2} = 2.5[/tex]

4.

[tex]x = \frac{3}{7} ≈0.428571429[/tex]

Inequalities help us to compare two unequal expressions. The correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Another way of writing the inequality 64 < x < 68, where x represents the height of the actor, is x>64 and x< 68. Hence, the correct option is A.

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Answer:

Your answer is 368

Step-by-step explanation:

Separate 92 into 90 + 2

4 * 92 = 4 * (90 + 2)

Distribute 4.

= 4 * 90 + 4 * 2

Multiply and Add

= 360 + 8

= 368

Answer:

m = 6

b = 13

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this equation, "m" represents the slope and "b" represents the y-intercept. To determine these variables, you need to rearrange/simplify the given equation.

10 + 4x + 3 + 2x = y                 <---- Original equation

10 + 3 + 4x + 2x = y                 <---- Rearrange

13 + 4x + 2x = y                       <---- Combine 10 and 3

13 + 6x = y                               <---- Combine 4x and 2x

y = 6x + 13                              <---- Rearrange

As you can now see, the number in the "m" position is (6) and the number in the "b" position is (13).

Answer:

[tex]6644.672~ m^3[/tex]

Step-by-step explanation:

[tex]\text{Volume} = (18.8)^3~ m^3 = 6644.672~ m^3[/tex]

Answer:

The 3rd one (y_< 2/3 x + 1/5) If this helps please mark brainiest! :)

Answer:

Circumference ≈ 56.55

Step-by-step explanation:

Given:

To Find:

Solution:

Here we'll use the formula of finding the circumference,i.e :

[tex] \boxed{\rm \: C = πd}[/tex]

Substitute them onto the formula:

[tex]\rm C = \pi(18) \: cm[/tex]

[tex]\rm C = 3.14 \times 18 \: cm[/tex]

[tex] \boxed{\rm C \approx \: 56.55}[/tex]

Hence, the circumference of the circle is 56.55(approx).

Answer:

$20

Step-by-step explanation:

First we will change the ratio so that we are finding how much money Siti receives to the total amount of money.

[tex]4:3 \rightarrow 4:(3+4)=4:7[/tex]

Now we can solve for how much money Siti receives using a proportion.

[tex]\frac{4}{7} = \frac{\mbox{money Siti receives}}{35}[/tex]

We can see that the denominator increases 5 times, so the numerator must increase 5 times too. This means Siti receives $20.

Answer:

  1584

Step-by-step explanation:

The sum of this sequence can be found a number of ways. One way is to recast it as the series whose terms are groups of three terms of the given series.

__

The partial sums, taken 3 terms at a time, are

  1+2-3 = 0

  4+5-6 = 3

  7+8-9 = 6

...

  97+98-99 = 96

So the original series is equivalent to ...

  0 +3 +6 +... +96 = 3×1 +3×2 +... +3×32 = 3×(1 +2 +... +32)

That is, the sum is 3 times the sum of the consecutive integers 1..32.

__

The sum of integers 1..n is given by the equation ...

  s(n) = n(n+1)/2

__

Using this to find the sum of our series, we find it to be ...

  series sum = 3 × (32)(33)/2 = 1584

_____

Alternate solution

The given series is the sum of integers 1-99, with 6 times the sum of integers 1-33 subtracted. That is, ...

  1 + 2 - 3 + 4 + 5 - 6 = 1+2+3+4+5+6 -2(3 +6) = 1+2+3+4+5+6 -6(1+2)

Continuing on to ...97 +98 -99 gives the result s(99) -6s(33).

Computed that way, we find the sum to be ...

  (99)(100)/2 -6(33)(34)/2 = 4950 -3366 = 1584

Answer:

<

Step-by-step explanation:

negative + positive = positive - positive

positive - negative = positive + positive

a = positive b = negative

a+b < a-b

Answer:

<

a + b is smaller than a - b as b is in the realm of negative numbers.

Using the Central Limit Theorem, we have that:

a) Yes, it can be used, as np > 10 and n(1 - p) > 10.

b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the sample, we have that:

Hence the normal approximation can be used.

As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:

The probability of a sample proportion of 85% of less is the p-value of Z when X = 0.85, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.85 - 0.9}{0.03}[/tex]

Z = -1.67

Z = -1.67 has a p-value of 0.0475.

There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.

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Answer:

5/12

Step-by-step explanation: 2/3 x 5/8 Multiply the numerators ( top numbers) and the denominators ( bottom numbers ) 2x 5= 10 3x8=12 Simplify by 2      Answer=5/12

Answer:

$596

Step-by-step explanation:

So, firstly, let's take all the essential info and put it in bullet points:

Next, what do we know about what's happened to the pots?

Now, we know that there is a moving fee that we will definitely have to pay, no matter what. Let's add that to the side-

200

Now we need to cover broken/lost pots. We can add up 6+12, because it is the exact cost for lost and broken pots. 6+12=18, and now we have to multiply that by 5. 18*5=90.

So, we can subtract that from the total payment.

200-18=182

Lastly, we need to add the total price for all the adequately delivered pots that arrived safely. There are 578 pots, and because 18 were damaged, we need to add that to 578:

578+18=596

So, the total amount you would be paying is $596.

Answer:

a(15de-13)

Step-by-step explanation:

just find the variable(s) that both terms have and take it out and put it off to the side like so

Answer:

One way is that there can each be 99 for each. 99x3= 297 which, isn't too far from 360. Another way is that they can each have 50. 50x3=150. The last way is to have them each have 30. 30x3=90.

Step-by-step explanation: Hope I helped at least a little bit. Give brainliset to best answer. I don't think my answer was that good. Let me know if it helped at all.

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

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