Answer:
$9.5
Step-by-step explanation:
All you have to do is divide 19 by 2 to get the cost of one pillow. I hope this helps :)
Answer:
$9.50
Step-by-step explanation:
P is Pillows
2P=$19.00
divide by 2 in both sides
P=$9.50
so 1 pillow costs $9.50
Solve the equation: 2 (x + 2x) - 36
A) X=-18
B) x = 18
cx = -6
D) x = 6
______________________________
1.) Divide both sides by 2:\(2\) ÷ \(2=\) Cancels Out\(36\) ÷ \(2=18\)
- We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis.
Equation at the end of Step 1:
\(x+2x=18\)2.) Combine x and 2x:\(x+2x=3x\)
- We do this because we can't have 2 variables at the end of the equation so it's best to just combine them.
Equation at the end of Step 2:
\(3x=18\)3.) Divide both sides by 3:\(3x\) ÷ \(3=x\)\(18\) ÷ \(3=6\)- We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal.
______________________________
- Weight of Runner: 184lbs - Work Performed by Runner: ft⋅lbs [Work = Weight × Total Height] - Time to Climb Stairs: 10.4sec - Power Generated: ft⋅lbs/sec [Power = Work / time ] - Horsepower Generated: hp [hp= Power /550]
The work they perform, the time they take to climb the stairs, and the power generated by the runner. Weight of Runner: 184 lbs m Work Performed by Runner:
ft⋅lbs [Work = Weight × Total Height]
Time to Climb Stairs: 10.4sec
Power Generated:\(ft⋅lbs/sec [Power = Work / time]\)
Horsepower Generated: \(hp [hp= Power /550]\)
Weight of runner = 184lb
Work performed by runner = Weight × Total height
\(W = 184 × H\)
Time taken by the runner to climb the stairs = 10.4 sec
Power generated by the runner = Work / time\(P = W / tP = (184 × H) / 10.4\)
Horsepower generated =\(P / 550Hp = P / 550Hp = [(184 × H) / 10.4] / 550Hp = (184 × H) / (10.4 × 550)Hp = (184H) / 5720\)
Thus, the equation for horsepower generated is\(Hp = (184H) / 5720\)
Where H is the height of the stairs.
This equation can be used to find the horsepower generated by a runner, given their weight, the work they perform, the time they take to climb the stairs, and the power generated by the runner.
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Round 123,788 to the nearest thousand
Answer:
124,000
Step-by-step explanation:
A 4-foot long steel pipe consists of two concentric cylinders, with the inner cylinder hollowed out. The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe is 5.75 inches.
A. Determine the volume of metal used to build the pipe
B. If the pipe is to be powder-coated on the inside and outside surfaces, what is the total surface area to be powder-coated?
Answer:
Step-by-step explanation:
The radius of the outside of the pipe is 6 inches and the radius of the inside of the pipe
is 5.75 inches
Determine the volume of metal used to build the pipe.
find two points on the graph of the parabola other than the vertex and x-intercepts
(0, -5) and (2, -8.75)
Explanations
Given the function expressed as:
\(g(x)=(x-2)^2-9\)We are to find two other coordinates other than the vertex and x-intercept. Note that the equation of a parabola in vertex form is expressed as:
\(y=a\mleft(x-h\mright)^2+k\)Another coordinate point is the y-intercept of the graph. The y-intercept occurs at the point where x = 0.
Substitute x = 0 into the given function;
\(\begin{gathered} g(x)=(x-2)^2-9 \\ g(0)=(0-2)^2-9 \\ g(0)=(-2)^2-9 \\ g(0)=4-9 \\ g(0)=-5 \end{gathered}\)Hence the y-intercept of the graph is (0, -5)
The other coordinate of the function we can determine is the FOCUS.
The coordinates for the focus of the parabola is given as (h, k+1/4a).
where:
• a is the intercept
,• (h, k) is the vertex
Comparing the given function with the general function, we can see that:
a = 1
h = 2
k = -9
Substitute these values into the coordinate of the focus will give:
\(\begin{gathered} \text{Focus}=(h,k+\frac{1}{4a}) \\ \text{Focus}=(2,-9+\frac{1}{4(1)}) \\ \text{Focus}=(2,\frac{-36+1}{4}) \\ \text{Focus}=(2,-8.75) \end{gathered}\)Therefore the other two points on the graph are (0, -5) and (2, -8.75)
The late fee at the library is based on the number of days a book is late. Carter paid $1.08 for a book that way nine days late. Her sister Sydneys had a fever of $1.92 for a Late book how many days late was a book
Answer:
16 days
Step-by-step explanation:
108/9 is 12. The late fee is 12¢ per day. 16x12 is 192.
.In which step below does a mistake first appear in
simplifying the expression
0.5(-40a + 20) – 8(a + 6) + 24(a - 12)?
Step 1: -20a + 10 - 8(a + 6) + 24(a - 12)
Step 2: -20a + 10 - 80 - 48 + 24(a - 12)
Step 3: -20a + 10 - 80 - 48 + 24a + 288
Step 4:-4a + 250
Answer:
step 2
Step-by-step explanation:
from -8(a+6) to -80 - 48 is incorrect
when you multiply -8 x a it's -8a not -80
find the equation of the tangent plane and the linear approximation to f(x,y) at the point in question, using the given information. f(0,0)=8,∂x∂f(0,0)=5,∂y∂f(0,0)=−3 f(1,2)=5,∂x∂f(1,2)=−21,∂y∂f(1,2)=4
The equation of the tangent plane is z = -21x + 4y - 13, which is also the linear approximation to f(x,y) at the point (1,2).
To find the equation of the tangent plane and the linear approximation to f(x,y) at the point (1,2), we can use the formula:
z = f(a,b) + ∂x∂f(a,b)(x-a) + ∂y∂f(a,b)(y-b)
where (a,b) is the point of tangency.
Using the given information, we have:
f(1,2) = 5
∂x∂f(1,2) = −21
∂y∂f(1,2) = 4
Substituting these values into the formula, we get:
z = 5 - 21(x-1) + 4(y-2)
Simplifying, we get:
z = -21x + 4y - 13
So the equation of the tangent plane is z = -21x + 4y - 13, which is also the linear approximation to f(x,y) at the point (1,2).
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Determine the domain of the following graph:
Answer:
Step-by-step explanation:
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
The cost of 5 gallons of gasoline is $20. Write an equation to show the relationship between the cost, c, and the gallons of gasoline, g.
Answer:
the gas 4$
Step-by-step explanation:
5x=20
divide 5/5 to cancel the 5 then 20/5 and there you have it 4
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 29 feet, and the length of the other base is 34 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
19720
Step-by-step explanation:
Find the values of x and y.
X= __
Y= __
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
Describe shock ads then provide an example of a shock ad, which
you feel is effective.
Shock advertisement are a type of advertising strategy that aims to provoke strong emotional responses from viewers by presenting controversial, shocking, or disturbing content.
An example of a shock add is Poking fun at events
What are shock advertisement?By displaying content that is debatable, surprising, or upsetting, shock advertisement try to elicit strong emotional reactions from their target audience.
The goals of shock advertisements are to draw attention, leave a lasting impression, and elicit conversation about the good or message they are promoting.
These commercials frequently defy accepted norms, step outside of the box, and employ vivid imagery or provocative storytelling approaches.
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maria bought a swimming pool with a circumference of 24 feet. she wants to buy a cover for her pool. what is the approximate size of the cover that maria will need to buy? round your answer to the nearest hundredth.
The approximate size of the cover that Maria will need to buy is 45. 84 square feet
How to determine the valueThe formula for calculating the circumference of a circle is expressed as;
Circumference = πr²
Where 'r' is the radius of the circle
Now, let's substitute the value of the circumference
24 = 2 × 3. 14 × r
r = 24/6. 28
r = 3. 82 feet
Formula for area = πr²
Substitute value of r
Area = 3. 14 × (3. 82)²
Area = 3. 14 × 14. 59
Area = 45. 84 square feet
Hence, the value is 45. 84 square feet
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If you deposit $200 into a CD (Certificate of Deposit) with an interest rate of 1% for 3 years, how much simple interest will you earn after
THREE years?
O $1
$5
$6
$25
Answer:
$6
Step-by-step explanation:
A=P(1+i.n)
A=200(1+0.01.x 3)
A=206
Thus 206 - 200 = $6
You will earn $6 in interest.
The interest you will earn per year is:
= Interest rate x Amount deposited
= 200 x 1%
= $2
Because it is simple interest, you will earn the same amount of interest every year. In 3 years you will have:
= Interest per year x number of years
= 2 x 3
= $6
You will therefore earn $6 in interest.
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Which one of the following r2 values is associated with the line explaining the most variation in y?
a.98%.
b.57%.
c. 76%.
d. 84%.
The R2 value associated with the line explaining the most variation in y is option a, 98%.
The R2 value, also known as the coefficient of determination, represents the proportion of variation in the dependent variable (y) that is explained by the independent variable(s) in a regression model. R2 ranges from 0 to 1, where 0 indicates that the model explains none of the variation in y and 1 indicates that the model explains all of the variation in y.
Comparing the given options, the highest R2 value is 98% (option a), which means that the regression line in this model explains 98% of the variation in y. This indicates a very strong relationship between the independent variable(s) and the dependent variable, with only 2% of the variation in y remaining unexplained by the model.
Therefore, the correct answer is option a, 98%
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strengths and limitations of visually interpreting histograms
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
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Which lines are parallel to 8x + 2y = 7?
Answer:
8x + 2y = 7
2y = -8x + 7
y = -4x + 7/2; this line has slope equal -4
Parallel lines, slope is the same so slope of parallel line is also -4
A. y − 1 = 4(x + 8); slope m = 4....FALSE
B. y = −4x + 15; slope m = - 4....TRUE
C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE
D. y = −4x; slope m = - 4....TRUE
Step-by-step explanation:
Answer: y = -4x+b
Step-by-step explanation: All lines with slope -4 are parallel to this line. For example: y=-4x
The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Under plan B, the inn charges $1300 plus $20 for each person in excess of the first 25 who attend. For what size parties will plan B cost less? I do not understand how for Plan b: 1300+20(p-25). I do not understand the part p-25
ANSWER
81 people
EXPLANATION
Let p be the number of people that attend the party.
Under plan A, the inn charges $30 for each person, so the value y of a party for p people is,
\(y_A=30x\)Then, under plan B, the cost is $1300 for a maximum of 25 people - this means that if 1 to 25 people attend the party, the cost is the same, $1300. For each person in excess of the first 25 - this means for 26, 27, 28, etc, the inn charges $20 each. The cost for plan B is,
\(y_B=1300+20(p-25)\)The last part, (p - 25), is the part of the equation that separates the first 25 attendees. This equation works for 25 people or more, but it is okay to solve this problem. Note that for p = 25, the cost for plan A is,
\(y_A=30\cdot25=750\)Which is less than the cost of plan B ($1300).
We have to find for what number of people attending the party, the cost of plan B is less than the cost of plan A,
\(y_BThis is,\(1300+20(p-25)<30p\)We have to solve this for p. First, apply the distributive property of multiplication over addition/subtract4ion to the 20,
\(\begin{gathered} 1300+20p-20\cdot25<30p \\ 1300+20p-500<30p \end{gathered}\)Add like terms,
\(\begin{gathered} (1300-500)+20p<30p \\ 800+20p<30p \end{gathered}\)Now, subtract 20p from both sides,
\(\begin{gathered} 800+20p-20p<30p-20p \\ 800<10p \end{gathered}\)And divide both sides by 10,
\(\begin{gathered} \frac{800}{10}<\frac{10p}{10} \\ 80For 80 people, the costs of the plans are,
\(\begin{gathered} y_A=30\cdot80=2400 \\ y_B=1300+20(80-25)=1300+20\cdot55=1300+1100=2400 \end{gathered}\)Both have the same cost. The solution to the inequation was the number of people, p, is more than 80. This means that for 81 people the cost of plan B should be less than the cost of plan A,
\(\begin{gathered} y_A=30\cdot81=2430 \\ y_B=1300+20(81-25)=2420 \end{gathered}\)For 81 people, plan B costs $10 less than plan A.
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
The graph that represents f(x) is \(f(x) = 12000(0.88)^x\) with a horizontal asymptote at x = 0.
The given parameters are:
\(a = 12000\) --- the initial value of the car
\(r = 12\%\) -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
\(y = a(1 -r)^x\)
Rewrite as a function
\(f(x) = a(1 -r)^x\)
Substitute values for (a) and (r)
\(f(x) = 12000(1 -12\%)^x\)
Express 12% as decimal
\(f(x) = 12000(1 -0.12)^x\)
Subtract 0.12 from 1
\(f(x) = 12000(0.88)^x\)
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is \(f(x) = 12000(0.88)^x\) with a horizontal asymptote at x = 0.
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Drag the tiles to the correct boxes to complete the pairs. Match each population trend to a contributing factor. government-sponsored family control programs agricultural economies medical advancements Industrial Revolution high birthrate arrowRight low death rate arrowRight increase in food supply arrowRight low birthrate arrowRight Reset Next
Answer:
Matching the population trend to a contributing factor:
Contributing Factors Population Trends
government-sponsored family control programs Low birth rate
agricultural economies increase in food supply
medical advancements low death rate
Industrial Revolution high birth rate
Step-by-step explanation:
a) Contributing factors are some negative or positive factors that influence or cause a single event or chain of events that result to the incident.
b) Defining population trends:
1) High birth rate: the industrial revolution triggered high birth rate, following increased food supply and medical advancements.
2) Low death rate: medical advancements brought about low death rate as better healthcare is provided to the sick.
3) Increase in food supply: large-scale agricultural economies ensured increasing food production and supply.
4) Low birth rate: when governments started sponsoring family control programs, the resulting effect was low birth rate.
Answer:
The first one is children and adolescents
the second one is adults
the third one is pregnancy
the last one is indivisuals with brittle bones
Step-by-step explanation:
hope this helps :D
Change one number to make a new system with an infinite number of solutions.
The world’s fastest fish, a sailfish, swims at a rate of 69 miles per hour. Is the distance a sailfish swims proportional to the number of hours it swims? Explain
The distance x that it swims is directly proportional to the time t that it swims at a constant speed v:
X=vt
V= 69miles/hour
X=69t, with t in hours, x in miles
if s is the sum of all integers 1<=k<=999999 and for which k is divisible by sqrtk, what is the sum of all k
The sum of all the values of k that are divisible by sqrt(k) is also 665667000.
To find the sum of all integers from 1 to 999999 that are divisible by sqrt(k), we need to identify the values of k that satisfy the given condition and then calculate their sum.
First, let's determine the values of k that are divisible by sqrt(k). Since k must be divisible by sqrt(k), it means that sqrt(k) must be an integer. Therefore, we need to find perfect squares within the range of 1 to 999999.
The largest perfect square less than or equal to 999999 is 999^2 = 998001. So, we can start by finding all the perfect squares from 1^2 to 999^2.
Next, we can calculate the sum of all the perfect squares. The sum of the squares from 1^2 to n^2 can be expressed as the formula:
Sum = (n * (n + 1) * (2n + 1)) / 6
In our case, n = 999. Substituting the values into the formula, we get:
Sum = (999 * (999 + 1) * (2 * 999 + 1)) / 6
Sum = (999 * 1000 * 1999) / 6
Sum = 333 * 1000 * 1999
Sum = 665667000
So, the sum of all the perfect squares from 1 to 999999 is 665667000.
Now, let's find the sum of all the values of k that are divisible by sqrt(k). Since we are considering perfect squares, we can simply add up all the perfect squares within the given range.
To calculate the sum of perfect squares, we can use the formula:
Sum = (n * (n + 1) * (2n + 1)) / 6
Again, let n be the largest perfect square less than or equal to 999999, which is 999. Substituting the values into the formula, we get:
Sum = (999 * (999 + 1) * (2 * 999 + 1)) / 6
Sum = (999 * 1000 * 1999) / 6
Sum = 333 * 1000 * 1999
Sum = 665667000
Therefore, the sum of all the values of k that are divisible by sqrt(k) is also 665667000.
In conclusion, the sum of all integers from 1 to 999999 that are divisible by sqrt(k) is 665667000. This sum is equal to the sum of all the perfect squares within the given range, which can be calculated using the formula for the sum of squares.
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8 - 8x = 3(.2 - x) what does x represent
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
One week, Lucy earned $234.00 at her job when she worked for 13 hours. If she is
paid the same hourly wage, how many hours would she have to work the next week to
earn $108.00?
Answer: 6 hours
Step-by-step explanation:divide 234 by 13 234/13 you get
18 divide 108 by 18 and then you get
6
PLEASE NO LINKS.
Rewrite without absolute value for the given conditions:
y =|x −3|+|x +2|−|x −5|, if x < −2
Answer:
y = -x - 4
Step-by-step explanation:
y =|x −3|+|x +2|−|x −5|, if x < −2
let x = -1
y1 =|x −3|
y1 = - ( x - 3 ) = -x + 3
y2 = |x +2|
y2 = - (x +2) = -x - 2
y3 = |x −5|
y3 = - (x −5) = -x + 5
y = y1 + y2 + y3
substitute back into original
y = -x + 3 - x - 2 - (-x + 5)
y = -x + 3 - x - 2 + x - 5
y = -x - 4
Indicate whether you would shade above or below the line for the following inequality.
y > -5
above
below
Answer:
above
Step-by-step explanation:
That is an greater than sign, you would shade above.
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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is it possible to make a triangle that has the angles measuring 60° 30° and 45°
Answer:
No.
Step-by-step explanation:
It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135
Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.