What is the volume of this figure? *
10 m
2 m
4 m

Answer: 0.13

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

why it is a is...

the first like is the # your arithmetic sentence starts with which is -1

the second line is what you do to get to the next #

each time you are adding 6

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

[tex]a_n = a_1 + (n-1)d[/tex]

Also, the recursive formula for any arithmetic series is given by the formula,

[tex]a_n = a_{(n-1)} + d\\\\[/tex]

Or, it can be also written as,

[tex]a_{(n+1)} = a_{n} + d[/tex]

where d is the difference and a₁ is the first term of the sequence.

For the given arithmetic sequence, the common difference can be written as,

Common difference = -1 - (-7)

                                  = -1 + 7

                                  = 6

Now, the recursive formula for this arithmetic sequence can be written as,

[tex]a_n = a_{(n-1)} + 6[/tex]

Also, the first term of the given arithmetic series is -7.

a₁ = -7

Hence, the correct option is A.

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Answer:

g(8) = 3(8)-2

g(8) = 24-2

g(8)= 22

Step-by-step explanation:

Answer:

$27

Step-by-step explanation:

According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.

15 divided into 3 equals 5

$135 divided into five equals $27

I hope this helps.

Answer:

Surface area = 80 cm²

Step-by-step explanation:

Surface Area of rectangular prism = 2(LW + LH + WH)

L = 4 cm

W = 4 cm

H = 3 cm

Plug in the values

Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)

Surface Area = 2(40) = 80 cm²

Answer:

104 in total

6.5k+12a=18.5ka

Step-by-step explanation:

Step-by-step explanation:

the area of the half-circle:

πr² /2= 3.14* 20² /2= 3.14 * 400 /2 =1256/2=628cm²

50*80/2=2000cm²

Shaded area:

2000-628=1372cm²

Answer:

Step-by-step explanation:

The shaded area is a trapezoid minus the area of half a circle.

T=h(b1+b2)/2

T=40(50+80)/2

T=2600cm^2

Now the area of the half circle

C=(pi r^2)/2

C=(400pi)/2

C=200pi

So the shaded area is

A=2600-200pi

A=1972 (rounded to nearest 1)

Answer: The second and the last answer are correct

Step-by-step explanation:

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

Answer:

271.25 mg

Step-by-step explanation:

The amount of medicine will be equal to 271.25 mg.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.

The amount of medicine will be calculated as below:-

Amount = 31 x 8.75

Amount = 271.25 mg

Therefore, the amount of medicine will be equal to 271.25 mg.

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Answer:

way too hard

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

Answer:

We know that the original price of the bike was $8,000.

After one year, the price of the bike decays a 12%, then the new price of the bike is:

P(1) = $8,000*( 1 - 12%/100%) = $8,000*(1 - 0.12)

After another year, the price again decays a 12%, the new price will be:

P(2) = $8,000*(1 - 0.12)*(1 - 12%/100%) = $8,000*(1 - 0.12)*(1 - 0.12) = $8,000*(1 - 0.12)^2

We already can see the pattern here, after t years, the price of the bike will be:

P(t) = $8,000*(1 - 0.12)^t

With this equation, we can find the price of the bike after 5 years, where we only need to replace t by 5

We will get:

P(5) = $8,000*(1 - 0.12)^5 = $4,221.9

The price of the bike after 5 years is  $4,221.9.

Now we want two equations to represent this, so we need another.

This is kinda trivial, because there is only one equation that represents this, so we only can rewrite our equation in another form.

We could say that the price of the bike after t years is:

P(t) = $8,000*(0.88)^t

or something like:

P(t) = $7040*(0.88)^(t - 1)

Where i multiplied the initial value by 0.88, and then reduced the exponent by one.

Answer:

1 1/2 cups you multiply 1/8 ×12

Answer:

The dpmo of the process is of 29000

Step-by-step explanation:

Dpmo of a process:

The dpmo of a process is the number of defects per million opportunities.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.

Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.

This means that [tex]\mu = 475, \sigma = 10[/tex]

The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.

Below 450 and Above 495 are non-conforming.

Below 450:

The proportion is the pvalue of Z when X = 450. So

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

[tex]Z = \frac{450 - 475}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Above 495:

The proportion is 1 subtracted by the pvalue of Z when X = 495. So

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

[tex]Z = \frac{495 - 475}{10}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The proportion of defectives is 0.0228 + 0.0062 = 0.0290

Dpmo:

Number of defects per million, that is, the proportion multiplied by 1000000.

1000000*0.0290 = 29000

The dpmo of the process is of 29000

Answer:

So, I think you're talking about 180-118, which is 62

Step-by-step explanation:

180-118=62

Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is

f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)

Compute the derivative:

f(x) = x ³   →   f ' (x) = 3x ²   →   f ' (2) = 12

Then

L(x) = 8 + 12 (x - 2) = 12x - 16

Now approximate 1.999³ :

f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988

(Compare this to the actual value, 7.98801.)

Answer:

540

Step-by-step explanation:

We need 6 times 90 for the full amount.

Answer:

Total amount = 540

Step-by-step explanation:

let total amount = x

1/6 * x = 90

x = 540

Answer:

55.5 percent of the way!!!!!!

Answer:

D = 9sin(2π(t + a)/24) + 45

Step-by-step explanation:

Let's find the average temperature;

(54 + 36)/2 = 45°

Amplitude = 54 - 45 = 9

From the wave equation, we can write the temperature as;

D = 9sin(2π(t + a)/24) + 45

Where;

D is the temperature

t is the time in hours after midnight

a is a "phase" that is used to set the time at which temperature(D) occurs