How much carbon dioxide is emitted from using a 1500 watt dryer for 8 hours every
week for 1 year? (Assume 1.37 pounds of CO2 is produced per KWH of electricity
used). (round to the hundredths place and do not include the unit)

EXPLANATION

As k increases, the value of the expression k + 25 increases too.

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

9514 1404 393

Answer:

  A

Step-by-step explanation:

Vertical multiplication of polynomials is virtually identical to vertical multiplication of integers. The "place value" associated with a column is the power of the variable. When adding within a column, there is no "carry" to the next column the way there is with integers.

Here, the correct answer choice can be found by looking at the coefficients of x^2 and of x.

Answer:

70 billion bacteria

Step-by-step explanation:

I. Given 1 oz = 28 g, 1g contains 2.5 billioin bacteria, find bateria in 1 oz by

If 1 oz = 28g and 1 g = 2.5 billion bacteria

1 = 2.5 billion

28* 1 = 2.5 *28 billion

28g = 70 billion

That makes 70 million bacteria per 1 oz.

Hope that help :)

Answer:

24 gummy bears

Step-by-step explanation:

25-13= 12

12 x 2 = 24

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Note that in the above mathematical scenario involving two similar triangles, the option that MUST  be correct is AC < FH (Option C) This solution is arrived at using the Open Mouth Theorem.

The above-stated Theorem in Geometry asserts that if two sides of two triangles are congruent and the included angle differs, then the greater angle is opposite the longer side.

This theorem is known as the Open Mouth Theorem because it is based on the idea that the two sides of a triangle are "pivoted" at their common vertex.

Please keep in mind that this theorem only works if we know two pairs of sides are congruent like this.

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Answer:

13.5

Step-by-step explanation:

Put the numbers in order from smallest to largest

6,12,15,32

Find the middle

6,12   ,15,32

The middle is between 12 and 15 so average them

(12+15)/2 = 27/2 = 13.5

Answer:

13.5

Step-by-step explanation:

The "Median" is the middle number in a data set

To do this...

Step 1. Order the numbers from smallest to largest

Answer: 6, 12, 15 & 32

Step 2. Find the median (middle number)

Answer: Since the median is between 12 and 15,

we'll need to add both numbers and divided the sum

in half

12 + 15 = 27/2 = 13.5

therefore. the median of the data set is 13.5

I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥\(\frac{18}{(2-3)}\)

I hope this helped but i've done this in the way my tutor taught me :)

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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The slope of the line is -4, which means that the swimmer will complete 4 laps every minute.  For 5 weeks they have the same amount of money. The direction is 270° clockwise rotation. The pattern of scatter plot is that there is a weak, negative linear association. The measurement of FD = 1.52. The slope of the line is negative three halves. The probability of No Heads is 25%. The scale factor is one half. The correct answers are C), B), A), B), A), D), D) and B).

The slope of the line is the change in y divided by the change in x, which represents the rate of change of the line. In this case, the slope is negative 4, which means that for every minute that passes, the number of laps remaining decreases by 4. So, the swimmer completes 4 laps every minute.

To find the point at which the two savings accounts have the same amount of money, we need to set the two equations equal to each other and solve for x

10x + 25 = 5x + 50

5x = 25

x = 5

So, after 5 weeks, the two siblings will have the same amount of money saved.

The direction of rotation can be determined by looking at the relative positions of the vertices of the original polygon and its image. In this case, the vertices of the image are in quadrant 1, while the vertices of the original polygon are in quadrant 2. This means that the image has been rotated counterclockwise. Additionally, we can see that the image has been rotated by 90 degrees, so the angle of rotation is 90 degrees counterclockwise.

The scatter plot shows a general trend of decreasing cost per cupcake as the number of cupcakes in an order increases. However, there is a fair amount of variability in the data, so the association between the two variables is weak. Additionally, the association is negative, as the cost per cupcake decreases as the number of cupcakes in an order increases.

Similar triangles have proportional side lengths, so we can set up a proportion using corresponding side lengths of the two triangles

AB/DE = BC/EF = CA/FD

Plugging in the known values, we get

11/2.2 = 7.9/EF = 7.6/FD

Solving for FD, we get

FD = (7.6 * 2.2)/11 = 1.52

So, FD has a length of 1.52 units.

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula

slope = (y2 - y1)/(x2 - x1)

Plugging in the given values, we get

slope = (-10 - (-1))/(3 - (-3)) = -9/6 = -3/2

So, the slope of the line is negative three halves.

The probability of getting no heads in two flips can be found by adding the frequencies of the outcomes where no heads occur (Tails, Tails) and (Tails, Heads) and dividing by the total number of trials

P(No Heads) = (50 + 35)/200 = 85/200 = 0.425 = 42.5%

So, the probability of getting no heads is 42.5%, which is equivalent to 0.425.

Dilations involve multiplying the coordinates of each vertex by a scale factor. To find the scale factor used in this dilation, we can compare the corresponding side lengths of the original triangle and its image. In this case, we can see that the sides of the image are half as long as the corresponding sides of the original triangle. So, the scale factor used to create the image is one half.

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ANSWER

• x = 8

• y = 10

EXPLANATION

If DEFG is congruent to SPQR, then side QR is congruent to side FG,

Add 4 to both sides of the equation,

And divide both sides by 2,

For the same reason, angles F and Q are congruent,

Replace x by the value we found before,

Subtract 8 from both sides of the equation,

And divide both sides by 6,

Hence, the answers are x = 8 and y = 10.

Answer:

72

Step-by-step explanation:

36+36=72

Answer:

78.5

Step-by-step explanation:

A=πr^2 is the formula. Since you're using pi as 3.14, 3.14 times 5^2 is 78.5 (5^2 is 25 because 5x5=25)

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Answer:

x=25

Step-by-step explanation:

Answer:

then it's fine Normal heart rate is 72 / minutes

Answer:

34.45%

Step-by-step explanation:

A tree diagram shows all possible outcomes of two or more events.

Each branch is a possible outcome and is labelled with the probability of that outcome.

Draw lines (branches) to represent the first event (main meal). Write the outcomes on the ends of the branches: "sandwich" and "slice of pizza". Write the given probabilities on the branches.

Draw the next set of branches to represent the second event (side).  Write the outcomes on the ends of the branches: "chips" and "veggies with hummus". Write the given probabilities on the branches.

We assume that the events in this scenario are independent, so the probability of the first event happening has no impact on the probability of the second event or the third event happening.  Therefore, to find the probability of each combination of events, multiply along the branches.

Sandwich and chips = 35% × 47% = 16.45%

Sandwich and veggies with hummus = 35% × 53% = 18.55%

Slice of pizza and chips = 65% × 47% = 30.55%

Slice of pizza and veggies with hummus = 65% × 53% = 34.45%

Therefore, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

The probability that Sophie selects a slice of pizza and veggies is 34.45%.

From the question, we have the following parameters that can be used in our computation:

The probability of pizza and veggies  is calculated as

P = Pizza * Veggies

Substitute the known values in the above equation, so, we have the following representation

P = 65% * 53%

Evaluate

P = 34.45%

Hence, the probability that Sophie selects a slice of pizza and veggies is 34.45%.

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Answer:

variable A and Variable B are more negatively related than variable C and variable D.

Step-by-step explanation:

Variables A and B have a covariance = 45

Variables C and D have a covariance = 627

Comparing the relationship between variable A AND B with the relationship between variable C and D

variable A and Variable B are more negatively related than variable C and variable D. this is because the covariance between variable A and Variable B are less positive

The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

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The interval of the graph at which Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

Given data ,

Susan is running a 5k race. The graph of distance vs. time is shown

So , the slope of the first line is m₁

And , the slope of the second line is m₂

where the points are A ( 0 , 0 ) , B ( 10 , 3 ) , C ( 20 , 4 )

Now , slope of AB is

m₁ = ( 3/10 ) = 0.3

And , m₁ = 0.3 kilometers per minute

And , slope of BC is

m₂ = ( 4 - 3 ) / ( 20 - 10 )

m₂ = 1/10

m₂ = 0.1 kilometers per minute

Therefore , the interval is fastest at second line from B ( 10 , 3 ) , C ( 20 , 4 )

Hence , Susan is running fastest is from point A ( 0 , 0 ) to B ( 10 , 3 )

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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3800 mm

Hope it helps you...

Thank you!!

Answer:

\(\frac{1}{12}\) probability of getting a head on the coin and the number 2 on the die

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Independent events:

If two events, A and B are independent, the probability of both events happening is the multiplication of the probabilities of each event happening, that is:

\(P(A \cap B) = P(A)P(B)\)

Probability of getting a head on the coin:

Head or tails, fair coin, so:

\(P(A) = \frac{1}{2}\)

Probability of getting the number 2 on the die:

6 numbers, one of which is 2, so:

\(P(B) = \frac{1}{6}\)

What is the probability of getting a head on the coin and the number 2 on the die?

\(P(A \cap B) = P(A)P(B) = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}\)

\(\frac{1}{12}\) probability of getting a head on the coin and the number 2 on the die

Answer:

Wouldent that be 6 logs

Step-by-step explanation:

Answer:

what is what is what is 1 + 1

Answer:

slope= 2

Step-by-step explanation:

y^2-y^1/z^2-x^1

9-3/6-3

6/3=2