Determine the measure of the interior angle at vertex C.

Answer:

step by step explanation

please see photo

Answer:

7m

Step-by-step explanation:

product means multiplication

7×m = 7m

Answer:

381 feet cubed

Step-by-step explanation:

You need to divide the shape into 2.

I would divide the shape so that 8.5ft, 6ft, and 3ft are one.

Now do Length times Width times Height for the first one.

8.5 ft x 6 ft x 3 ft = volume for shape 1

The volume for shape 1 is 153 feet cubed

Now onto the second one.

Since you divide the other shape to have 8.5 feet the measurements are:

4ft, 9.5ft, and 6ft.

Do the formula lwh.

4ft x 9.5ft x 6ft = volume for shape 2

The volume for shape 2 is 228 feet cubed

Finally, you have to add shapes 1 and 2 due to the fact it's a composite figure.

153ft + 228ft = 381ft cubed

Answer:

12 pieces of cake

Step-by-step explanation:

4 pieces for each cake

there is a total of three cakes

needed to find total pieces of cakes

multiply 4 by 3 and you will get 12 pieces of cake.

Answer:

Miko has 12 pieces of cake

Answer:

You can solve this by setting up an exponential growth equation.

Now we solve for b

Now that we have found b, we can use the equation  to predict how many bacteria will be present after 10 hours.

t = 10

Answer = 4732

Step-by-step explanation:

Answer:

62.25=35+3x

62.25-35=27.25

27.25=3x

divide both sides by 3

x=9.08 or just 9

Answer:

624

Step-by-step

480+(480(30%))

=624

Answer:

162

30/100 * 480

3/10 * 480

3/1 * 48

3 * 48

162

Answer:

d

Step-by-step explanation:

The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Mr. Red's first year salary is $30,000 and it increases by $500 each year.

Now, Let number of months = n

We can formulate explicit rule for this sequence in simplified form as,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Therefore, The explicit rule for this sequence in simplified form is,

⇒ [tex]a_{n}[/tex] = 500n + 30,000

Where, n is number of months.

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Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

Answer:

2009

Step-by-step explanation:

On June 1, 2004 we can say that there were 100% of the wrens.

If the number decreases by 40% each year, then each year there will be 60% of the previous years number.  To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)

June 1, 2004 = 100%

June 1, 2005 = 100% x 0.6 = 60%

June 1, 2006 = 60% x 0.6 = 36%

June 1, 2007 = 36% x 0.6 = 21.6%

June 1, 2008 = 21.6% x 0.6 = 12.96%

June 1, 2009 = 12.96% x 0.6 = 7.776%

Therefore, the census shows that the number of wrens is less than 10% in the year 2009.

Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

This problem can be modeled by a right triangle, with [tex]l_1 = 16, l_2 = d, h = 20[/tex], hence:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]16^2 + d^2 = 20^2[/tex]

[tex]d^2 = 144[/tex]

[tex]d = 12[/tex]

Barrie is 12 miles from Luke's house, in a straight line.

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Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

The balance point of the dataset is the mean of the dataset

The balance point of the dataset is 20

From the dataset, we have the following frequency table

Data (x)     Frequency (f)

15                    2

24                   1

26                  1

The balance point of the dataset is the mean value of the dataset, and the mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

This gives

[tex]\bar x = \frac{15 * 2 + 24 * 1 + 26 *1}{2 +1+1}[/tex]

Evaluate the sum

[tex]\bar x = \frac{80}{4}[/tex]

Evaluate the quotient

[tex]\bar x = 20[/tex]

Hence, the balance point of the dataset is 20

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Based on the rate at which all three computers process bills, the time taken for the computers to process 1,780 bills is 4 minutes.

First find the number of bills left when the third computer joined:

= 1,780 - (160 x 1.5 mins) - (160 x 1.5 mins)

= 1,300

Then the average speed of all three computers is:

= 160 + 160 + 200

= 520 bills per minute

The time taken to finish up the other bills would be:

= 1,300 / 520

= 2.5 minutes

Add this to the minutes already elapsed before the third computer was used:

= 2.5 + 1.5

= 4 minutes

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The conditions for this type of sampling test regarding the wait times at two branches of a bank include:

It should be noted that sampling simply means a statistical process where a predetermined number of observations are taken from a larger population.

In this case, the samples are both randomly selected and the wait times within each group are approximately symmetric without outliers. When there's a symmetric distribution with no outliers, the mean and standard deviation will be used.

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Answer:

47.6 euros

Step-by-step explanation:

68 x .70 = 47.6

.70 = 70%

70% of 68

of means multiply

You turn the percent into a decimal and multiply

Answer: It is 105/8, or 13 1/8 (as a mixed number)

Step-by-step explanation:

To find volume, you do length times width times height (l  * w  * h)

Hope this helps! :D

The geometric series with 4th term as 10 and 7th term as 80 has the sum of the first tenth terms as 1278.75.

aₙ = arⁿ⁻¹

where

Therefore,

10 = ar³

80 = ar⁶

Hence,

a = 10 / r³

80 = (10 / r₃) r⁶

80 = 10r³

r³ = 80 / 10

r = ∛8

r = 2

a = 10 / 2³

a = 10 / 8 = 5 / 4

The sum of 10 terms can be calculated as follows:

Sₙ = a(rⁿ - 1) / r - 1

Sₙ = 5 / 4 (2¹⁰ - 1) / 2 - 1

Sₙ = 5 / 4 (1024 - 1) / 1

Sₙ = 1.25(1023)

Sₙ = 1278.75

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Answer:

18.3% x 238 megabytes

0.183 x 238 = 43.554 megabytes = 43.6 megabytes (rounded to the nearest tenth) or 43.55 (rounded to the nearest hundredth).

Step-by-step explanation:

If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.

This is the amount of money paid for the mortgage settlement or closing.

The closing costs are equal to 2-7% of the cost of the loan.

185,000 x 0.02 = $3700 (2%)

185,000 x 0.07 = $12,950 (7%)

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Answer:

Step-by-step explanation:

y + 47° = 90°  {Complementary angles}

        y = 90° - 47°

        y = 43°

x = y   {Vertically opposite angles}

x = 43°

Answer:

x = 43°

Step-by-step explanation:

Substract 47° from both sides

since X and y are vertically opposite angles

Answer: 24%

Step-by-step explanation:

for these problems you can use this equation: [tex]\frac{x}{n} *100=p[/tex]

where x=given quantity, n=total amount, and p is your answer.

for this problem x=18 (regular sodas)

we add the amount of regular and diet sodas to get n=75 (18+57)

when we plug it in we have [tex]\frac{18}{75} *100[/tex] which gives us our answer, p, 24%

hope this helped ♡

Answer:

15 unit that is the answer

Step-by-step explanation:

hope it is help you

The length of the line segment BC is 15 units

In order to determine the length of BC, we will use the Pythagoras theorem as shown;

AB² = AC² + BC²

Substitute the given parameters

17² = 8² + BC²

BC² = 289 - 64

BC² = 225

BC=. 15 units

Hence the length of the line segment BC is 15 units

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Answer:

8+88+16x

4=x

Step-by-step explanation:

just reverse it lol

Answer:

  a) 96 = 3.57√h

  b) h ≈ 723.11 m

Step-by-step explanation:

The equation you want to solve is the model with the given values filled in.

  D(h) = 3.57√h . . . . model

  96 = 3.57√h . . . . . equation for seeing 96 km to the horizon

__

We solve this equation by dividing by the coefficient of the root, then squaring both sides.

  96/3.57 = √h

  h ≈ 26.891² ≈ 723.11 . . . . meters above sea level

Dustin would need to have an elevation of 723.11 meters above sea level to see 96 km to the horizon.

Answer:

1 cent

Step-by-step explanation:

Dime = 10 cents

8 Dimes = 8 * 10 = 80 Cents

1 Nickel = 5 Cents

80 + 5 = 85

85 - 84 = 1 Cent

Answer:52.8

Step-by-step explanation:

Answer:

The answer is indeed 52.8

Step-by-step explanation:

Here is proof: I got the same answer.