I NEED HELP ASAP the cube shown below holds 64 cubic centimeters of water. label the dimensions of the cube.

Answer:

1/12

Step-by-step explanation:

Answer:

x=21

Step-by-step explanation:

since the triangle is isosceles, the two lower angles are equal.

2(2x+3)=90

4x+6=90

4x=84

x=21

The next 4 terms are 375, 75, 15 and 3

The sequence is given as:

234375, 46875, 9375, 1875...

Notice that the current term of the sequence is 1/5 of the previous term.

So, the next four terms are:

Next 1 = 1/5 * 1875 = 375

Next 2 = 1/5 * 375 = 75

Next 3 = 1/5 * 75 = 15

Next 4 = 1/5 * 15 = 3

Hence, the next 4 terms are 375, 75, 15 and 3

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Answer:

8/25

Step-by-step explanation:

2x2x2=8

5x5=25

= 8/25

Answer:

1080

Step-by-step explanation:

72 = 2 × 2 × 2 × 3 × 3

216 = 2 × 2 × 2 × 3 × 3 × 3

270 = 2 × 3 × 3 × 3 × 5

LCM(72, 216, 270)

= 2 × 2 × 2 × 3 × 3 × 3 × 5

= 1080

==========================================

Explanation:

Write out the prime factorization of each value. A factor tree may help.

The unique primes that show up are: 2, 3, 5

The LCM is 2^3*3^3*5^1 = 8*27*5 = 1080

To build a concrete block wall, Kamila needs to determine the number of blocks required. The wall dimensions are 12 feet long, 6 feet high, and 8 inches thick. The task is to calculate number of blocks needed for wall.

To calculate the number of blocks needed, we first convert the wall dimensions to inches. The wall is 12 feet long, which is equivalent to 144 inches, and 6 feet high, equivalent to 72 inches. The thickness of the wall is 8 inches.

Next, we calculate the volume of each concrete block. The block measures 16 inches in length, 8 inches in width, and 8 inches in depth, resulting in a volume of 1024 cubic inches.

To determine the number of blocks needed, we divide the total volume of the wall by the volume of each block. The total volume of the wall is obtained by multiplying the length, height, and thickness, which gives 82,944 cubic inches.

Finally, by dividing the total wall volume by the block volume, we find that Kamila will need approximately 81 blocks to build the wall.

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The required answer is Kamila will need 81 concrete blocks to build the wall. To calculate the number of blocks Kamila will need to build the wall, we need to find the volume of the wall and divide it by the volume of each concrete block.

First, let's convert the measurements to a consistent unit. Since the dimensions of the concrete block are given in inches, we'll convert the length and height of the wall from feet to inches:

Length of the wall = 12 feet = 12 * 12 = 144 inches

Height of the wall = 6 feet = 6 * 12 = 72 inches

Thickness of the wall = 8 inches

Next, we'll calculate the volume of the wall:

Volume of the wall = Length * Height * Thickness

= 144 inches * 72 inches * 8 inches

= 82944 cubic inches

Now, let's calculate the volume of each concrete block:

Volume of each block = Length * Width * Depth

= 16 inches * 8 inches * 8 inches

= 1024 cubic inches

Finally, we'll divide the volume of the wall by the volume of each block to find the number of blocks needed:

Number of blocks = Volume of the wall / Volume of each block

= 82944 cubic inches / 1024 cubic inches

≈ 81 blocks

Therefore, Kamila will need approximately 81 concrete blocks to build the wall.

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Answer: a12 = 1/5120

Step-by-step explanation:

geometric sequence formula: an = a1*r^(n-1)

a1 = 2/5, r= 1/2, n= 12

a12 = 2/5*r^11

a12 = 2/5*1/2048

a12 = 1/5120

Answer:

D

Step-by-step explanation:

Answer:

Y= -2

Step-by-step explanation:

Answer: financially irresponsible

Step-by-step explanation:

Kendall is buying 5 for $9.95 when she could buy 6 for $9.65 which would get her another bottle and save 30 cents

Answer:

C. It is used to find the sum of interior angles

Also , it can be used to find the number of triangles in the polygon,

Step-by-step explanation:

Example :

Find the sum of interior angles whose no of sides is 6 and give the name of the polygon

  Solution

S = (n-2)180°

S = (6-2)180°

S = (4)180°

S = 720°

The polygon is a Hexagon

I hope it helps  :)

S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The sum of the interior angle of the polygon is given as,

S = (n – 1)180°

Where, n be the number of the sides.

Then the correct option is A.

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Answer:

47

Step-by-step explanation:

Answer:

I hope you understand it. And I have given answer step wise clearly.

The probability that a teacher can teach in any department is 2/3.

To find the probability that a teacher can teach in any department,

find the proportion of teachers who teach the whole spectrum of courses taught in a department, which is denoted by x.

Let's denote the proportion of teachers who can teach their favorite courses by y.

The joint density function of x and y is given by

\(f(x,y) = 2(x+y), 0 < x < 1, 0 < y < 1, and x + y < 1\)

To find the probability that a teacher can teach in any department, integrate the joint density function over the region where x > y:

\(P(x > y) = \int\int(x > y) f(x,y) dxdy\)

Split the integration into two parts: one over the region where y varies from 0 to x, and another over the region where y varies from x to 1:

\(P(x > y) = \int[0,1]\int[0,x] 2(x+y) dydx + \int[0,1]\int[x,1-x] 2(x+y) dydx\\P(x > y) = \int[0,1] x^2 + 2x(1-x) dx\\= \int[0,1] (2x - x^2) dx\\= [x^2 - x^3/3]_0^1\)

= 2/3

Therefore, the probability that a teacher can teach in any department is 2/3.

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Answer:

(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket

To find the value of r in the equation 690 = (200*(1-(1+r)^12)/r) + (1000/(1+r)^12), we need to solve the equation for r.

In order to solve this equation algebraically, we can start by simplifying it. First, let's simplify the expression (1-(1+r)^12)/r by multiplying both the numerator and denominator by (1+r)^12 to eliminate the fraction. This yields (1+r)^12 - 1 = r.

Now, we can rewrite the equation as 690 = 200*((1+r)^12 - 1)/r + 1000/(1+r)^12.

To further simplify the equation, we can multiply both sides by r to eliminate the fraction. This gives us 690r = 200*((1+r)^12 - 1) + 1000.

Expanding (1+r)^12 - 1 using the binomial theorem, we can simplify the equation further and solve for r using numerical methods or a graphing calculator.

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Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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The resulting control chart will help identify any points that fall outside the control limits, indicating potential anomalies or special causes of variation in the idle time ratio.

To construct the control chart for the idle time ratio based on three standard deviations, we need to follow several steps:

Step 1: Calculate the average idle time ratio.

To calculate the idle time ratio, we divide the idle time (in minutes) by the total effective working time (in minutes). In this case, the total effective working time per day is 8 hours or 480 minutes. Calculate the idle time ratio for each day using the formula:

Idle Time Ratio = Idle Time / Total Effective Working Time

Day 1: 40 / 480 = 0.083

Day 2: 35 / 480 = 0.073

...

Day 25: 28 / 480 = 0.058

Step 2: Calculate the average idle time ratio.

Sum up all the idle time ratios and divide by the number of days to find the average idle time ratio:

Average Idle Time Ratio = (Sum of Idle Time Ratios) / (Number of Days)

Step 3: Calculate the standard deviation.

Calculate the standard deviation of the idle time ratio using the formula:

Standard Deviation = sqrt((Sum of (Idle Time Ratio - Average Idle Time Ratio)^2) / (Number of Days))

Step 4: Calculate the control limits.

The upper control limit (UCL) is the average idle time ratio plus three times the standard deviation, and the lower control limit (LCL) is the average idle time ratio minus three times the standard deviation.

UCL = Average Idle Time Ratio + 3 * Standard Deviation

LCL = Average Idle Time Ratio - 3 * Standard Deviation

Step 5: Plot the control chart.

Plot the idle time ratio data on a graph, along with the UCL and LCL calculated in Step 4. Each data point represents the idle time ratio for a specific day.

The resulting control chart will help identify any points that fall outside the control limits, indicating potential anomalies or special causes of variation in the idle time ratio.

Note: Since the calculations involve a large number of values and the table provided is not suitable for easy calculation, I recommend using a spreadsheet or statistical software to perform the calculations and create the control chart.

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Answer: Intersection of A and B = 2

Step-by-step explanation:

Total cards = 52

Let A is the event of drawing a 6 from the deck, and B is the event of drawing a black playing card from the deck.

Total cards having 6 on them = 4

[There are 4 suits of two different colors red and black.]

Total  black playing card =26

Intersection of A and B = Black cards having 6 = 2

hence, Intersection of A and B = 2

a) Yes, It does. The scatterplot support the newspaper report about number of semesters and starting salary.

b) The value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables.

a) The scatterplot appears to show a positive association between the number of semesters needed to complete an academic program and the starting salary in the first year of a job. As the number of semesters increases, the starting salary generally increases as well. Therefore, the scatterplot supports the newspaper report.

b) The coefficient of determination, or R-squared value, represents the proportion of the variation in the dependent variable (starting salary) that is explained by the independent variable (number of semesters). A value of 0.335 means that 33.5% of the variation in starting salary is explained by the number of semesters. This value is relatively low, indicating that there are other factors that also contribute to starting salary.

c) The correlation coefficient is a value between -1 and 1 that measures the strength and direction of the linear association between two variables. A value of 1 indicates a perfect positive correlation, a value of -1 indicates a perfect negative correlation, and a value of 0 indicates no correlation. The correlation coefficient for this data is not provided in the problem, so it is not possible to determine it. Without the correlation coefficient, it is not possible to interpret the strength and direction of the association between number of semesters and starting salary.

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Answer:

6

Step-by-step explanation:

Corresponding sides of similar triangles have proportional side lengths.

\(\frac{x}{4.5}=\frac{4}{3} \\ \\ x=\frac{4.5(4)}{3} \\ \\ x=6\)

Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.

The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8

Answer:

6

10

8

Step-by-step explanation:

The rotation rule used in this problem is given as follows:

90º counterclockwise rotation.

The five more known rotation rules are given as follows:

The equivalent vertices for this problem are given as follows:

Hence the rule is given as follows:

(x,y) -> (-y,x).

Which is a 90º counterclockwise rotation.

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Answer:

21 rounds

Step-by-step explanation:

\(1\) \(round = 0.4km\)

\(Total\) \(distance = 8.4km\)

\(8.4/0.4\)

\(=21\)

The number of rounds he makes, if he runs a total of 8.4 km distance.

\(\large\boxed{R=\frac{Total \: distance}{Distance \: covered \: in \: 1 \: round}}\)

So, we'll have to divide the total distance covered by distance covered in 1 round.

Let's substitute according to the formula.

\(R= \frac{8.4}{0.4}\)

= 21 rounds

Hence, the number of rounds he makes, if he runs a total of 8.4 km distance is 21

Answer:

(here i assume that the daily record is another rectangle)

For a rectangle with width W and length L, the perimeter is:

P = 2*W + 2*L

in this case we know that:

P = 125

W = 15

Replacing these in the perimeter equation we get:

125 = 2*15 + 2*L

125 = 30 + 2*L

125 - 30 = 2*L

95 = 2*L

95/2 = L = 47.5

Now we know that the daily record has a scale factor of 60%.

This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.

Then if the width of the daily record is W' and the length of the daily record is L'

This means that:

L' = (60%/100%)*L = 0.6*L = 0.6*47.5

W' = (60%/100%)*W = 0.6*W = 0.6*15

Then the perimeter is:

P' = 2*0.6*47.5 + 2*0.6*15 = 75

(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)

Answer:

8

Step-by-step explanation:

-4(2)+8(-3)+12-8(2)-2(-3)+6=-8-24+12-16+6+6=8

Answer:

-24

Step-by-step explanation:

-4b + 8c + 12 - 8b - 2c + 6

Combine like terms

6c+18-12b

Let b=2  c=-3

6(-3) +18-12(2)

-18 +18 -24

-24

The population would be approximately 22,625E coli bacteria in 87 minutes.

The given data tells that a population of 500E. Coli bacteria doubles every 15 minutes. Using this information to find an expression for this population growth and using an exponential model: Exponential model of population growth is given by;

N(t) = \(N_0\) e r t

Where \(N_0\) = Initial population size e = Base of natural logarithms r = Growth rate of the population t = Time period Here,

\(N_0\) = 500 (Initial population size)

e = 2 (Since the population doubles)

r = Growth rate of the population

To find r can be found using the given data as;

N(t) = \(N_0\)ert    (Exponential model of population growth)

Now, It is given that the population doubles every 15 minutes. Thus,

2\(N_0\) = \(N_0\)e^r*15

= r = ln(2)/15Plug

in the given values in the equation to find the population after 87 minutes;

N(t) = \(N_0\)ertN(87)

= 500*e^(ln(2)/15*87)

≈ 500* 2^5.8N(87)

≈ 500* 45.251N(87)

≈ 22,625

Hence, the population would be approximately 22,625E coli bacteria in 87 minutes.

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Answer:

it is False

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

8 pints in a gallon so then you multiply 8 x 10 and get 80