The solid below is made from cubes.Find Its volume.m1 m

An exponential change exceeding plus or minus 1 there in amount of a quantity or unit is defined as an order of magnitude. The phrase is typically used in connection with scientific notation with powers of 10.

The usage of orders of magnitude helps people understand and have a better grasp on the size of numbers and some other quantities. It typically serves as an approximation of a comparison between two numbers.

How to Estimate an Order of Magnitude?

The Sun's circumference, for instance, would be stated as being multiple orders of magnitude greater than just the Earth's if the two were compared to one another.

Know more about the order of magnitude

https://brainly.com/question/3813397

#SPJ1

a) The ratio of similitude of triangle PQR to triangle STU is the ratio of their corresponding sides.

b) The ratio of the perimeter of triangle PQR to triangle STU is the same as the ratio of their corresponding sides.

a) Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. The ratio of similitude of triangle PQR to triangle STU is the ratio of their corresponding sides, which means that the length of each side of PQR is multiplied by the same factor to get the corresponding side of STU.

b) Since the corresponding sides of similar triangles are proportional, the ratio of the perimeter of triangle PQR to triangle STU is the same as the ratio of their corresponding sides. In other words, if the ratio of the sides of PQR to STU is x:y, then the ratio of their perimeters is also x:y.

To learn more about perimeter of triangle click here : brainly.com/question/29472908

#SPJ11

a) The ratio of similitude of triangle PQR to triangle STU is the ratio of their corresponding sides.

b) The ratio of the perimeter of triangle PQR to triangle STU is the same as the ratio of their corresponding sides.

a) Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. The ratio of similitude of triangle PQR to triangle STU is the ratio of their corresponding sides, which means that the length of each side of PQR is multiplied by the same factor to get the corresponding side of STU.

b) Since the corresponding sides of similar triangles are proportional, the ratio of the perimeter of triangle PQR to triangle STU is the same as the ratio of their corresponding sides. In other words, if the ratio of the sides of PQR to STU is x:y, then the ratio of their perimeters is also x:y.

To learn more about perimeter of triangle click here : brainly.com/question/29472908

#SPJ11

Answer:

1.2

Step-by-step explanation:

divide 6 by 5

Answer:

8/1 or 8 minutes per lap

Step-by-step explanation:

Answer:

X >= 6.7

Step-by-step explanation:

So first of all, what you need is write out the equation from the given prompt

x + 2.7 >= 9.4
Next, what you really want to do is

Subtract 2.7 both side
x >= 9.4 - 2.7
x >= 6.7

There are a total of 12 possible outcomes in the sample space.

The possible outcomes of Brittany wearing a skirt and a top can be determined by considering all the combinations of skirts and tops.

Skirts: Black, Violet, White, Red

Tops: Yellow, Pink, Green

The possible outcomes are as follows:

Black skirt and yellow top

Black skirt and pink top

Black skirt and green top

Violet skirt and yellow top

Violet skirt and pink top

Violet skirt and green top

White skirt and yellow top

White skirt and pink top

White skirt and green top

Red skirt and yellow top

Red skirt and pink top

Red skirt and green top

Know more about combination here;

https://brainly.com/question/31586670

#SPJ11

Answer:

Step-by-step explanation:

milk: 3 *\(\frac{14}{15} = \frac{14}{5}\) ;

flavors: 3*\(\frac{1}{15} = \frac{1}{5}\);

The amount of milk is (14/5) and the quantity of flavours will be 1 / 5 litre.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the vanilla milkshake is made by mixing milk and flavours in a ratio of 14:1 . The quantity required to make 3 litres of the milkshake will be calculated as,

Ratio = 14: 1

Let the constant term between the ratio is x. From the equation,

14x + x = 3

15x = 3

x = 1 / 5

The quantity of milk = 14x = 14 x (1/ 5 ) = 14 / 5 liters

The quantity of flavors = x = 1 / 5 liters

Therefore, the amount of milk is (14/5) and the quantity of flavours will be 1 / 5 litre.

To know more about ratios and proportions follow

https://brainly.com/question/2914376

#SPJ5

Answer:

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 2.

The greatest common factor of 18 , 24 and 40 is HCF = 2

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the HCF be represented as H

Let the first number be represented as p

Now , the value of p = 18

Let the second number be represented as q

Now , the value of q = 24

Let the third number be represented as r

Now , the value of r = 40

And , the factors of 18 = 1, 2, 3, 6, 9 and 18

The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24

The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40

So , the HCF of 18 , 24 and 40 is the number 2

Hence , the HCF is 2

To learn more about HCF and LCM click :

https://brainly.com/question/20049151

#SPJ2

The Z score that is equivalent to the raw score 92.5 is B. -1.25.

A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:

Z = (92.5 - 100) / 15

Z = -7.5 / 15

Z = -0.5

Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.

The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.

Learn more about  distribution

brainly.com/question/29664127

#SPJ11

The number from the grid that fulfills all the given clues is; 12

The grid is shown in the attached image.

Now, we are told that Manju and Arif are thinking of a number on the grid and the clues are;

It is a multiple of 3.

It is even.

It is in the third row.

Now, looking at the third row, we see the numbers as;

11, 12, 13, 14, 15

Now, the only number that fulfills all the given clues is 12.

Read more about Multiple of a Number at; https://brainly.com/question/10749076

#SPJ1

Answer:

You will pay $53.04 and get 24.96 cashback rewards.

Sale Price: $53.04

Answer:

x=60 degrees

Step-by-step explanation:

Formula for angle at x=1/2(240-120)

x=60

Answer:

perimeter =136cm

and

area =560+308= 868 sq.cm

Answer:

Area =867.9 cm2

Perimeter =99.4 cm

Step-by-step explanation:

Perimeter:

\(p=28+20+\pi r\)

\(\pi r=\pi (10)=10\pi\)

\(p=28+20(2)+10\pi =68+10\pi =99.4 cm\)

Area:

\(A=(28)(20)+\frac{\pi (14)^{2} }{2} =560+307.87=867.9cm^{2}\)

Hope this helps

Answer:

d :4h

Step-by-step explanation:

hope this helps (;

The rate at which the angle between the ladder and the wall changes is 30√75 ft/sec and the rate at which the base of the ladder slides away from the wall at this instant is 13.2 ft/sec.

When a 10-foot ladder slides down a wall at a rate of 3 ft/sec, the rate at which the (acute) angle between the ladder and the wall changes when the foot of the ladder is 5 feet from the wall and the rate at which the base of the ladder slides away from the wall are required to be calculated.

Let's mark the length of the ladder as ‘l’ and the distance of the ladder from the wall as ‘x’.If the ladder has slid x feet down the wall at time t, the triangle formed by the ladder, the wall, and the ground is such that l² = x² + y². The angle is θ, then sin θ = y/l, cos θ = x/l, and tan θ = y/x.

Thus, we have the following equation:(l)² = (x)² + (y)²Differentiate with respect to t.2(l)(dl/dt) = 2(x)(dx/dt) + 2(y)(dy/dt)

Solve for dy/dt when x = 5ft and dx/dt = 3 ft/sec.dy/dt = (l/x)(dx/dt)√[l² - x²]dy/dt = (10/5)(3)√[10² - 5²]dy/dt = 30√75 ft/sec

Now, let's differentiate the equation l² = x² + y² with respect to time:2l(dl/dt) = 2x(dx/dt) + 2y(dy/dt)

We have already calculated the value of dy/dt from the previous step. Substituting, l = 10, x = 5 and dx/dt = 3, we get: 20(dl/dt) = 10(3) + 2(5)(30√75)dl/dt = 13.2 ft/sec

Know more about angle here:

https://brainly.com/question/7116550

#SPJ11

Answer:

Answer: $109.99

Step-by-step explanation:

The total amount saved, $96.16, should be divided by the number of tires, 4. The answer is $24.04. Add $24.04 to the price of a single tire, $85.95, and the answer is $109.99, the original price of one tire.

Answer: 1/36

Explanation: In this problem, we're given that a number cube is rolled twice and we're asked to find the probability of rolling a 4 and a 4.

It's important to understand that the two rolls of the number cube are independent events because the results of one role does not affect the results of the other roll.

To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.

So let's first find the probability of rolling

a 4 with our first role of the number cube.

We can find the probability of an event using the following ratio:

number of favorable outcomes over total number of outcomes

Since there's only one way to roll a 4 and there are six possible outcomes 1, 2, 3, 4, 5, and 6, the probability of rolling a 4 is 1/6.

Next, we find the probability of rolling a 4 with our second roll of the number cube, which would also be 1/6.

Now, to find the probability of rolling a 4 and a 4,

we simply multiply the probabilities.

Now multiply 1/6 x 1/6 by multiplying across the top and bottom.

This gives us 1/36.

So the probability or likelihood of rolling a 4 two times in a row is 1/36.  

The fraction of geckos to reptiles is 1/4 and number of geckos is 20.

According to ratio, let the number of geckos be x and number of ankle lizards be 3x. Based on the information, the total number of pets is 80. Forming the equation.

x + 3x = 80

Performing addition on Left Hand Side

4x = 80

x = 80 ÷ 4

Performing division on Right and Side

x = 20

Number of geckos = 20

Number of anole lizards = 3x

Number of anole lizards = 3×20

Number of anole lizards = 60

Fraction of geckos to reptiles = number of geckos ÷ number of reptiles

Number of reptiles = 60 + 20

Number of reptiles = 80

Fraction = 20 ÷ 80

Fraction = 1/4.

Hence, there are 20 geckos and 1/4 geckos to reptiles.

Learn more about Equation -

https://brainly.com/question/26714672

#SPJ4

By using the formula for volume of a cylinder, it can be calculated that

Time required to fill the pitcher to the 11-inch mark is 54 seconds

What is volume of a cylinder?

Volume of a cylinder is the total space taken by the cylinder.

If r is the radius of the cylinder and h is the height of the cylinder, then the volume of cylinder is given by the formula

\(v = \pi r^2h\)

Diameter of pitcher = 6 inches

Radius of pitcher = \(\frac{6}{2}\) =  3 inches

Height of water to be filled = 11 inches

Volume of water to be filled = \(\frac{22}{7} \times 3 \times 3 \times 11\) = \(\frac{2178}{7}\) = 311.14 cubic inches

Volume of water in the pitcher = 40 cubic inches

Volume of water left to be filled = 311.14 - 40 = 271.14 cubic inches

The faucet flow rate is 5 cubic inches per second.

Time required to fill the pitcher to the 11-inch mark = \(\frac{271.14}{5}\)

                                                                                     = 54.228 seconds      

                                                                                    = 54 seconds

To learn more about volume of a cylinder, refer to the link-

https://brainly.com/question/9554871

#SPJ1

Answer:

-14

Step-by-step explanation:

Answer: 1/2x+2

Step-by-step explanation:

I just simplified

Answer:

360 miles

Step-by-step explanation:

The distance will be:

= 90 ÷ 1/4

= 90 × 4

= 360 miles.

The standard error of the mean is 0.2 hours, The standard error of the mean is a measure of how much variation there is in the sample mean around the population mean.

It is calculated by dividing the population standard deviation by the square root of the sample size.

In this case, the population standard deviation is 1.6 hours and the sample size is 64. Therefore, the standard error of the mean is 0.2 hours.

This means that we can be 95% confident that the true population mean is within 0.2 hours of the sample mean. In other words, if we were to repeat the study many times, we would expect the sample mean to be within 0.2 hours of the true population mean 95% of the time.

Standard error of the mean = population standard deviation / square root of sample size

= 1.6 hours / square root of 64

= 0.2 hours

The standard error of the mean is a useful tool for interpreting the results of a sample survey. It allows us to quantify the uncertainty associated with the sample mean, and to make inferences about the population mean.

To know more about root click here

brainly.com/question/16880173

#SPJ11

a. The probability of selecting chips, then crackers is 1/16.

b. The probability of selecting pretzels, then pretzels is 1/8.

A) The probability of selecting a chip on the first draw is 5/16. Since there is no replacement, the probability of selecting a cracker on the second draw is 3/15, as there are now only 15 items left in the basket. Therefore, the probability of selecting chips, then crackers is (5/16) x (3/15) = 1/16.

B) The probability of selecting a pretzel on the first draw is 6/16. Since there is no replacement, the probability of selecting another pretzel on the second draw is 5/15, as there are now only 15 items left in the basket.

Therefore, the probability of selecting pretzels, then pretzels is (6/16) x (5/15) = 1/8.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

Read more about equations at

https://brainly.com/question/148035

#SPJ4

Answer:

c

Step-by-step explanation:

Answer:

10:4

Step-by-step explanation:

it can be simplified

We can actually deduce here that the honey to oats ratio that doesn't follow the pattern in the table is: 10:4.

Ratio actually refers to the way that two or more numbers are compared in relation to their size to each other. It shows how much of one number is found in another.

From the honey to oats ratio, we can see that the pattern goes thus:

This is because 10 - 3 = 7

Then 15 - 7 = 8

Therefore, the ratio that doesn't follow the pattern is 10:4.

Learn more about ratio on https://brainly.com/question/2328454

#SPJ6

Answer: Distributivo

Step-by-step explanation:

2*3 = 6

2 * x = 2x

Therefore:

2(3+x) = 6 + 2x

Answer:

Let's define the variables:

A = number of seats in section A.

B = number of seats in section B.

C = number of seats in section C.

We have the equations:

A + B + C = 45,000.

C - 300 = B/2

A*$28 + B*$24 + C*$20 = $1,139,200

This is a system of equations, the first step to solve this is to isolate one variable in one of the equations, and then replace it in the others.

I will isolate C in the second equation:

C = B/2 + 300.

Now let's replace this in the other two equations:

A + B + B/2 + 300 = 45,000

A*$28 + B*$24 + (B/2 + 300)*$20 = $1,139,200

Let's simplify these equations:

A + B*(3/2) = 44,700

A*$28 + B*$34 + $6,000 = $1,139,200

Now let's isolate A in the first equation:

A = 44,700 - B*(3/2)

Let's replace this in the other equation:

(44,700 - B*(3/2))*$28 + B*$34 + $6,000 = $1,139,200

Now let's solve this for B.

-B*$8 + $1,252,200 = $1,139,200

-B*$8 =  $1,139,200 - $1,252,200  = -$113,000

B = $113,000/8 = 14,125

Now we can replace that in the equations:

A =  44,700 - B*(3/2) =  44,700 - 14,125*(3/2) = 23,512.5, that we should round up to 23,513.

And C = B/2 + 300 = 7362.5

As we rounded the previous one up, we should round this one down to 7362.

Answer:

Step-by-step explanation:

The graph starts at x = - 3 and ends x = 2. For all x between -3 and 2, there points on the graph. Hence the domain, in interval notation, is written as

[-3 , 2]

We have closed circles at x = - 3 and x = 2 because -3 and 2 are included in the domain which is indicated by the closed brackets at x = - 3 and x = 2.

The range is the set of possible output values, which are shown on the y-axis.

This is why our graph goes from (-3,8) to (2,3)