Find the volume of figure 1 using the volume formula. Make sure to identify length width and height

Answer:

Step-by-step explanation:

Answer:

frist answer is right

Step-by-step explanation:

9X3 + 9 X 2 -43 X - 35

Answer:

D

Step-by-step explanation:

split the shape into 3 separate rectangles, so you get a

5×12 rectangle

5×7 rectangle

5×12 rectangle

add the sums together to get 155

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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\(-2x+6=12\\2x=-6\\x=-3\)

Answer: C equals 2.

Step-by-step explanation:

37 + (-2c - 3) = 4c + 20 +c (distribute)

34 - 2c = 5c +20 (combine like terms)

14 = 7c (divide)

c = 2

Answer:

31-45 has most frequent

Step-by-step explanation:

0-15 = 2

16-30 = 4

31-45 = 6

61-75 = 1

Answer:

The answer is B. 31-45.

Step-by-step explanation:

0-15 - {13, 14,} =》2

16-30 - {28, 17, 22, 25} =》4

31-45 - {42, 37, 37, 40, 33, 41} =》6

46-60

61-75 - {61} =》1

Applying the two-tangent theorem, the length of AN is: 21 units.

The two-tangent theorem is a geometric theorem that states that if two tangents are drawn to a circle from a point outside the circle, then the lengths of the tangent segments are equal. This theorem is often used in geometry to find the length of tangent segments and to prove the existence of tangents to circles.

More formally, the two-tangent theorem states that if P is a point outside a circle with center O, and if PA and PB are tangents to the circle from point P, then PA = PB. In other words, the lengths of the two tangent segments are equal.

From the image above, AM and AN are two tangents from the same circle. Also, AN is also tangent with 29 - 2y.

This implies that the three tangents are congruent. Therefore:

6y - 3 = 29 - 2y

6y + 2y = 29 + 3

8y = 32

y = 32/8

y = 4

AN = 6y - 3

Plug in the value of y

AN = 6(4) - 3

AN = 21 units.

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Answer:

Maximum= (-2,15)

Minimum= (2,-15)

Answer:

866333.33

Step-by-step explanation:

Answer:2x+1

Step-by-step explanation:

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Hello!

I had this problem in a test, and there is an image of a right triangle in the test

We have been given an image of a right triangle and are asked to find the perimeter of our given triangle.

The answer is 10.3 units, Option A

The maximum budget for equipment and costumes is \(4.85x - $450\).

Let us assume the number of seats available is "x".

Let us represent cost of equipment and costumes with C

The total revenue from ticket sales would be 4.85x.

From 4.85x, the committee wants to have $450 remaining, so we can set up an equation.

The equation will be \(4.85x - 450 = C\)

So, to get maximum budget for equipment and costumes, we need to maximize the cost of equipment and costumes. This occurs when the cost is equal to the left side of the equation above.

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Answer:

Step-by-step explanation:

a) 2 letters to church and 4 letters to union

b) $ 1000

A  statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given data:

Letter writing time for church = 2 hours

Follow up required for church = 1 hour

Letter writing time for labor union = 2 hours

Follow up required for labor union = 3 hour

Funds from church = $ 100

Funds from union = $ 200

now, let 'x' be the number of letters written to church

and let  'y' be the number of letters written to labor union

According to the given conditions

maximum timing for letter writing = 12 hours

So,

2x + 2y ≤ 12 hours

x + y ≤ 6 hours

Now, maximum time for follow up = 14 hours

1x + 3y ≤ 14 hours  

on solving the both the equations

    x +   y = 6

- ( 1x + 3y = 14 )

----------------------

0 - 2y = -8

y = 4 hours

and, x + 4 = 6

x = 2

Now,

money raised  = (2 × $ 100) + (4 × $ 200)

= $ 1000

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The calculated resolved part of vector p (6i-3j+9k) in the direction of a is 2i + 2j - k.

Given that

p = (6i-3j+9k)

a =  (2i+2j-k)​

To find the resolved part of the vector p in the direction of a, we can use the following formula:

r = (p · a) / |a|

where · denotes the dot product and |a| denotes the magnitude of vector a.

First, we need to calculate the magnitude of vector a:

|a| = √(2² + 2² + (-1)²)

|a| = √(4 + 4 + 1)

|a| = √9

|a| = 3

Next, we need to calculate the dot product p · a:

p · a = (6i - 3j + 9k) · (2i + 2j - k)

= 12i + 12j - 6k - 6i - 6j + 3k

= 6i + 6j - 3k

Finally, we can calculate the resolved part of p in the direction of a:

r = (p · a) / |a|

= (6i + 6j - 3k) / 3

= 2i + 2j - k

Therefore, the resolved part of vector p in the direction of a is 2i + 2j - k.

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Answer:

77 cm^3

22 m^3

22 kl^3

Step-by-step explanation:

volume of a cylinder = nr^2h

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

1. Radius = 3.5 / 2 = 1.75

Volume = (22/7) x (8) x 1.75^2 = 77 cm^3

2. radius = 2/2 = 1m

Volume = (22/7) x (7) x 1^2 = 22 cm^3

1 meter = 1 kilolitre

capacity = volume

capacity = 22 kl^3

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

120 · 15% = 18

I hope this helps!!

Answer:

B.  -414,720 x⁷y⁶

Step-by-step explanation:

To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.

The binomial theorem states that for an expression of the form (a + b)ⁿ:

\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)

For the expression (2x - 3y²)¹⁰:

Therefore, each term in the expression can be calculated using:

\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)

The 4th term is when r = 3. Therefore:

\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)

So the 4th term of the given expansion is:

\(\boxed{-414720\:x^7y^6}\)

Answer/Step-by-step explanation:

✔️The rate of change can be calculated using the coordinates of any two points on the graph. Let's use (2, 60) and (3, 75):

\( rate of change = \frac{y_2 - y_1}{x_2 - x_1} = \frac{75 - 60}{1} = \frac{15}{1} = 15 \)

Rate of change (m) = 15

✅In the context of this situation, the rate of change can be interpreted to be the additional fee per class. Thus, an additional fee per class cost $15.

✔️Initial value is the same as the y-intercept.

To find the y-intercept (b), substitute m = 15, x = 2, and y = 60 into y = mx + b.

Thus:

60 = 15(2) + b

60 = 30 + b

60 - 30 = b

30 = b

b = 30

The initial value/y-intercept = $30

✅In this context, $30 is the start-up fee to cover art supplies.

The twenty units of potatoes illustrates the measure of central tendency  and probability

Start by sorting the dataset:

0.19; 0.28; 0.55;

0.62; 0.68; 0.77;

0.88; 0.89; 0.98;

0.99; 1.11; 1.22;

1.22; 1.22; 1.33;

1.44; 1.48; 1.68;

1.77; 1.99

The highest occuring element is 1.22 with a frequency of 3

The two middle elements are 0.99 and 1.11.

The mean of these two middle elements is: 0.5 * (0.99 + 1.11) = 1.05

The mean of the whole dataset is:

Mean = (0.19+ 0.28+ 0.55+ 0.62+ 0.68+ 0.77+ 0.88+ 0.89+ 0.98+ 0.99+ 1.11+ 1.22+1.22+ 1.22+ 1.33+ 1.44+ 1.48+ 1.68+1.77+1.99)/20

Mean = 1.06

Hence, the modal weight is 1.22, the mean is 1.06, and the median is 1.05

(a) at least 1.1 kg

There are 10 potatoes that weigh at least 1.1 kg.

So, the probability is:

P = 10/20

P = 0.5

(b) more than 3.5kg

There are 0 potatoes that weigh more than 3.5 kg.

So, the probability is:

P = 0/20

P = 0

(c) below 0.50kg

There are 2 potatoes that weigh below 0.50 kg.

So, the probability is:

P = 2/20

P = 0.1

The Variance of the weight.

This is calculated as:

Var = \(\sum\)(x - mean)^2/n

This gives

Var = [(0.19 - 1.06)^2 + (0.28 - 1.06)^2 + (0.55 - 1.06)^2 + (0.62 - 1.06)^2 + (0.68 - 1.06)^2 + (0.77 - 1.06)^2 + (0.88 - 1.06)^2 + (0.89 - 1.06)^2 + (0.98 - 1.06)^2 + (0.99 - 1.06)^2 + (1.11 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.22 - 1.06)^2 + (1.33 - 1.06)^2 + (1.44 - 1.06)^2 + (1.48 - 1.06)^2 + (1.68 - 1.06)^2 + (1.77 - 1.06)^2 + (1.99 - 1.06)^2]/20

Evaluate

Var = 0.22

This means that:

The expectation of the squared deviation of the random variable from the mean is 0.22 kg

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Answer:

0.22 kg

Step-by-step explanation:

answer is this in decimal form if this is what ur looking for 4.21900462…

hope it helps....

Answer:

17.8

Step-by-step explanation:

The horizontal velocity of a bullet right before it hits the ground is 10 m/s.

The horizontal velocity of a bullet remains constant throughout its flight, as it is only affected by gravity. This means that the horizontal velocity of the bullet right before it hits the ground will be the same as the initial horizontal velocity when it was fired.

In this case, the bullet was fired at an angle of 60 degrees above the horizontal, but the horizontal velocity remains constant, so it will still be 10 m/s right before it hits the ground. To determine the vertical velocity, we would need to know the time of flight and use the equations of motion to calculate the vertical acceleration due to gravity.

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Answer:

1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.

Answer:

The odds in favor of him selling a car today are 3 to 10

Step-by-step explanation:

Probability and odds:

Suppose we have a probability p.

The odds are of: 10p to 10

In this question:

Probability of selling a car is 0.3.

10*0.3 = 3

So the odds in favor of him selling a car today are 3 to 10

Answer:

100 is the number

Step-by-step explanation:

For this equation, it may be helpful to replace words with symbols.
The question is:
if 6% of x is the same as 5% of 120, then what is x?

The comma splits the sentence into two parts

if 6% of x is the same as 5% of 120 is the main focus, and the second part requires you to find x.

In the question "if 6% of x is the same as 5% of 120"
the word "of" can be replaced with " * ", and the words "is the same as" can be replaced with "=". The if can be dropped

The question becomes:

6% * x = 5% * 120

This equation can be easily solved.

6% = 0.06
5% = 0.05

So,

0.06x=0.05*120

0.06 x = 6

x = 6 / 0.06

x = 100

We need to satisfy the following equations:

x*y = 13

x + y = -14

Isolating x from the first equation,

x = -14 - y

Substituting this result into the first equation,

(-14 - y)*y = 13

-14y- y*y = 13

-y² - 14y - 13 = 0

Using the quadratic formula,

Therefore, the solution is: