I was confused on how to write the quadratic in standard form

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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The standard deviation of the amount paid for monthly water usage is $35.25

From the summary statistics, we have:

Standard deviation, σ = 2350

Rate = $0.015

The standard deviation of the amount is calculated using:

σ = Standard deviation * rate

This gives

σ = 2350 * $0.015

Evaluate

σ = $35.25

Hence, the standard deviation of the amount paid for monthly water usage is $35.25

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The majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The data given in the table is-

3.01, 3.26, 3.26, 3.79, 4.26, 4.34, 5.17, 5.94, 5.94, 5.94, 5.94, 7.14, 7.54, 7.90, 8.03, 9.15, 10.25, 11.98, 12.84, 19.86

The majority of data is between 3.01 to 7.90. The percentage of these data values to total data is 70%.

When data is represented in dot plot, then the distribution is a normal distribution. The data set has the value of median and mode equal to 5.94.

Median=5.94

Mode=5.94

Thus, the majority of data is between 3.01 to 7.90, when data is represented in dot plot, then the distribution is normal distribution and data set has 5.94 median.

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The volume of the square pyramid will be equal to V = 648 square centimetres.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the Cuboid.

Given that:-

The volume will be calculated as:-

V = L  x  W  x  H

V = 9  x   9  x  8

V = 648 square centimters.

Therefore the volume of the square pyramid will be equal to V = 648 square centimetres.

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Answer:

3/16 of the class share guitars today.

Step-by-step explanation:

1/4 x 3/4 = 3/16! :)

Answer:

$36.3 

Step-by-step explanation:

The total cost of the Green coffee beans is $7.25.

Total cost (TC) is the minimum cost of producing some quantity of output. This is the total economic cost of production and is made up of variable cost, which varies according to the quantity of a good produced and includes inputs such as labor and raw materials, plus fixed cost.

Here, Green coffee beans cost $0.58 for each ounce.

Amina and her mother buy 12.5 ounces of green coffee beans

Total cost = cost each ounce X Number of ounces

  TC = 12.5 X 0.58

  TC = $ 7.25

Thus, the total cost of the Green coffee beans is $7.25.

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Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

It is defined as the tax rate applied on the solely earned money by a single entity.

Julia paid to social security as a payroll tax = 6.2% of 2000

= (6.2×2000)/100

= $124

Julia paid to Medicare as a payroll tax = 1.45% of 2000

= (1.45×2000)/100

= $29

Julia paid a percent of her income to the federal government as an income tax:

= (260/2000)×100

= 13%

Julia paid a percent of her income to state government as an income tax:

= (120/2000)×100

= 6%

Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.

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Answer:

0.23

Step-by-step explanation:

0.23 - 0.111 = 0.119

Meaning that it's greater in value.

Answer:

0.23

Step-by-step explanation:

When you look in the tenths place 2 is greater than one :) hope this helps!!

Answer:

Step-by-step explanation:

8²p=8^4

64p=4096

p=64

p could also equal 2

8^2x2=8^4

Answer: P = ^2

Step-by-step explanation:

8^4= 4096

8^2= 64

4096/64=64

(8^2)^2= 8^4

4096 = 4096

I'm good how's life!

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

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

Let p and q represent the length of the diagonals.

Hence:

[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

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Answer:

y=−1 or y=−9

Step-by-step explanation:

y2+10y=−9

Step 1: Subtract -9 from both sides.

y2+10y−(−9)=−9−(−9)

y2+10y+9=0

Step 2: Factor left side of equation.

(y+1)(y+9)=0

Step 3: Set factors equal to 0.

y+1=0 or y+9=0

y=−1 or y=−9

Answer:

y=−1 or y=−9

Answer:

Here is the ans ..hope it helps:)

There are 142506 different selections of twenty-five pastries

The given parameters are:

The number of different selections is calculated using:

[tex]C(n + r - 1,r) = \frac{(n + r - 1)!}{r!(n - 1)!}[/tex]

The above formula is used because repetitions are allowed.

So, we have:

[tex]C(6 + 25 - 1,25) = \frac{(6 + 25 - 1)!}{25!(6 - 1)!}[/tex]

Evaluate the sum and difference

[tex]C(30,25) = \frac{30!}{25!5!}[/tex]

Evaluate the expression

C(30,25) = 142506

Hence, there are 142506 different selections of twenty-five pastries

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Answer:A=hbb

2

Step-by-step explanation:

If the sides of a triangle are given along with an included angle, the area of the triangle can be calculated with the formula, Area = (ab × sin C)/2, where 'a' and 'b' are the two given sides and C is the included angle. This is also known as the "side angle side " method.

The given expression [tex]3 \dfrac{6}{5}[/tex]  can be written as [tex]\sqrt[5]{3^6}[/tex].

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

The given value can be written as:-

[tex]3\dfrac{6}{5} = \sqrt[5]{3^6}[/tex]

Therefore the given expression [tex]3 \dfrac{6}{5}[/tex]  can be written as [tex]\sqrt[5]{3^6}[/tex].

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Answer:

False

Step-by-step explanation

Let's take the example starting number as 100

15% off of 100 gives us 85.

25% off of 85 is 63.45

40% off of 100 would be 60.

Answer:

3×9=27 the two numbers right to use is 2and7

Answer:

a. 94.444 m/s

b. 0.001 s

Step-by-step explanation:

#a

#b

Answer: the correct answer is.....101 ft sq.

Step-by-step explanation:

Answer:

ai = 190.0

Step-by-step explanation:

I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.

Assuming the series is comprised of numbers in an arithmetic progression, you will have...  (see attachment for better explanation and step by step.)

Answer:

Learning Objective: Use the mean and range to compare the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The mean shows, on average, Sarah was 8 seconds quicker than Katie.

- The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

Katie's Data Set:

To Find:

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is [tex]\mu = \frac{{\sum}x}{N}[/tex].

The formula for the mean of a sample is [tex]\bar{x} = \frac{{\sum}x}{n}[/tex].

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: [tex]\frac{709}{10} = 70.9[/tex]

Therefore, the mean of Sarah's data set is 70.9.

For Katie's Data Set, [tex]\frac{789}{10} = 78.9[/tex].

Therefore, the mean of Katie's data set is 78.9.

To fill in the summary, we have to use the data we just calculated.

That summary can be found in the answer section.

Answer:

Sarah's mean = 70.9

Katie's mean = 78.9

Sarah's range = 15

Katie's range = 25

The mean shows that on average Sarah was 8 seconds faster than Katie. The range shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Identifying the mean time for Katie and Sarah

The mean ( average ) is equal to the sum of the numbers in the data set ( the sum of the swimming times ) divided by the number of values in the data set ( which is given as 10 )

Mean for Sarah : Sum of her swimming times : 79 + 70 + 68 + 75 + 69 + 64 + 69 + 75 + 64 + 76 = 709

Number of values = 10

So mean = 709 / 10 = 70.9 seconds.

Mean for Katie : Sum of her swimming times : 79 + 79 + 76 + 81 + 89 + 76 + 64 + 85 + 82 + 78 = 789

number of values = 10

so mean = 789 / 10 = 78.9

Using this information we can identify what the first to blanks are. The mean shows that on average Sarah was ___ seconds ____ than Katie.

The mean time for Sarah was 70.9 seconds and the mean time for Katie was 78.9 seconds. So on average Sarah was faster and by 8 seconds ( which can be found by subtracting Sarah's mean from Katie's )

Identifying the range

The range is equal to the largest value ( longest swim time ) subtracted by the smallest value ( or quickest swim time )

Range for Sarah : Sarah's highest swim time is 79 seconds and her lowest is 64 seconds.

So her range = 79 - 64 = 15 seconds

Range for Katie : Katie's highest swim time is 89 seconds and her lowest time is 64 seconds

So her range = 89 - 64 = 25

Using this information we can fill out the remaining blanks.

The range shows that ____ was more consistent with her times. ___ had a larger spread of times which shows she was ____ consistent.

The higher the range the less consistent you are vise versa. Katie had a larger range hence, Sarah was more consistent and Katie was less consistent.

Answer:

Step-by-step explanation:

The brick layer builds ( 1 wall ) / ( 6 hrs )

That's the same as ( 1/6 wall ) / ( 1 hour )

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

The apprentice builds ( 1 wall ) / ( 16 hrs )

That's the same as ( 1/16 wall ) / ( 1 hour )

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

Let t = the time that the brick layer works

t + 5 = the timer the apprentice works

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

( brick layer's rate ) x ( brick layer's time ) +

( apprentice's rate ) x ( apprentice's time ) = 1

( 1 is the whole job )

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

(1/6) · t + (1/16) · (t + 5) = 1

Multiply both sides by 48

8t + 3t + 15 = 48

11t = 33

t = 3

t + 5 = 8

the brick layer works 3 hrs

The apprentice works 8 hrs

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

Check:

(1/6) · t + (1/16) · (t + 5) = 1

(1/6) · 3 + (1/16) · (3 + 5) = 1

1/2 + 1/2 = 1

There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

Answer:

You would have 18 quarters and 35 dimes

Step-by-step explanation:

Answer:

Mean: 95, Median: 50 Mode: 25

Step-by-step explanation:

1.Mean: add all the numbers then divide by the number of numbers there

25+25+25+25+50+50+125+125+125+375= 950

950 divided by 10 = 95

2.Median :is the number in the middle of all the numbers in this case we have 2 so we will ad those two then divide them by two

50+50=100 100/2 = 50.

3. Mode : this is the most recurring number there and in this case it's 25

Answer:

A

Step-by-step explanation:

|-20| = 20 the positive value of -20

20 is not < 20 so A is false

All the rest are true
(B) |9| = 9

(C) |-20| = 20 > 9

(D) |9| = 9, |20| = 20 and 9 < 20

Answer:

100°

Step-by-step explanation:

Answer:

[tex]x=e^5\approx148.413[/tex]

Step-by-step explanation:

[tex]4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5[/tex]