Using proportions, it is found that the price of a bottle of dish soap increased $0.43 from 1980 to 1990.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The percent increase, as a proportion, of the CPI is given by:
P = 130.7/82.4 = 1.5862.
Hence, for the price of the bottle:
Pb = $0.74 x 1.5862 = $1.17.
The difference is:
1.17 - 0.74 = $0.43.
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Answer: $0.43
Step-by-step explanation:
The cool dude above me already explained it
Write the phrase as an algebraic expression 6 less than a number times 11
Problem Page
Lucy's shop sells
712
quarts of ice cream each day. How much is this in pints?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
the following data values represents a population. What is the variance of the values? 6, 10, 14, 2
Answer:20 !
Step-by-step explanation:
What is the simplified form of the expression? (2 – 9c)(–8)
Is 703.005 is greater than or less than seven hundred three and five hundredths
-7=7d-8
help me with the equation for that problem
Jack was 11 years older than Pricilla. Together their ages totaled 151 years.what are their ages?
If f(x)=-4x^2+15,then f(-3)=??
The value of f(-3) for the given function f(x) = -4x² + 15 will be -21.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given function,
f(x) = -4x² + 15
Put x = -3
f(-3) = -4(-3)² + 15
⇒ -4 x 9 + 15
⇒ -36 + 15 = -21
Hence "The value of f(-3) for the given function f(x) = -4x² + 15 will be -21".
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2.8 meters linen divided into 45 cm pieces = # of pieces and waste
Use a triple integral to find the volume of the given solid. the solid enclosed by the cylinder x2 + y2 = 9 and the planes y + z = 14 and z = 2.
To find the volume of the solid enclosed by the given cylinder and planes, you convert to cylindrical coordinates. Then, you set up a triple integral with respect to these coordinates as ∫∫∫ dz dr dθ where the bounds of integration are 0<=θ<=2π, 0<=r<=3, and 2<=z<=14-r.
Explanation:The volume of the solid can be found using a triple integral in cylindrical coordinates. First, we need to identify the boundaries of the solid. From the cylinder equation, we see that x² + y² = 9, which in cylindrical coordinates converts to r^2 = 9, so 0<=r<=3. Then, from the plane equations y + z = 14 and z=2, we can determine that in cylindrical coordinates, 2<=z<=14-r.
Therefore, the volume V can be found by:
V = ∫∫∫ dz dr dθ
with bounds for integration being 0<=θ<=2π, 0<=r<=3, and 2<=z<=14-r.
Running this triple integral will provide the volume of the solid.
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A set of data with a mean of 62 and a standard deviation of 5.7 is normally distributed. what is the value that is −1 standard deviation from the mean
What percent of 645 is 187.05?
To find what percent 187.05 is of 645, one can use the following formula:
[tex]\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \][/tex]
In this case, the Part is 187.05 and the Whole is 645. Plugging these values into the formula gives:
[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 \][/tex]
Now, calculate the fraction:
[tex]\[ \text{Percentage} = \left( \frac{187.05}{645} \right) \times 100 = \left( 0.29155 \right) \times 100 \][/tex]
[tex]\[ \text{Percentage} = 29.155 \][/tex]
Therefore, 187.05 is approximately 29.155% of 645. To express this as a fraction, one can write:
[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \approx 29.155\% \][/tex]
To get the exact fraction, we can simplify:
[tex]\[ \text{Percentage} = \frac{187.05}{645} \times 100 = \frac{18705}{645} \times \frac{20}{20} = \frac{374100}{12900} \][/tex]
Simplifying the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 300, we get:
[tex]\[ \text{Percentage} = \frac{374100 \div 300}{12900 \div 300} = \frac{1247}{430} \][/tex]
So, the exact fraction representing the percentage is:
[tex]\[ \text{Percentage} = \frac{1247}{430} \times 100 \][/tex]
[tex]\[ \text{Percentage} = \frac{1247}{4.3} \][/tex]
[tex]\[ \text{Percentage} = 29.00 \% \][/tex]
Thus, 187.05 is exactly 29% of 645.
6/5 × 25/24 multiple
A mountaineer climbed 1,000 feet at a rate of x feet per hour. He climbed an additional 5,000 feet at a different rate. This rate was 10 feet per hour less than twice the first rate. Which expression represents the number of hours the mountaineer climbed
The equation that represents the number of hours the mountaineer climbed is t = 1000/V1 + 2600(V1 - 5).
How to compute the equation?Based on the information given, V1 = 1000 and V2 = 2V1 - 10.
The time taken will be:
= 1000/V1 + 5000/V2
Well substitute the equations. This will be:
t = 1000/V1 + 5000//(2V1 - 10)
t = 1000/V1 + 5000/2(V1 - 5)
t = 1000/V1 + 2600(V1 - 5).
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Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5
Answer:
Solve the following inequality: 2(x + 1) – (–x + 5) ≤ –18. A. x ≤ –9 B. x ≤ –20 C. x ≤ –37 D. x ≤ –5
Step-by-step explanation:
2 (x + 1) - (-x + 5) ≤ -18
2x + 2 + x - 5 ≤ - 18
3x - 3 ≤ - 18
3x ≤ - 15
x ≤ - 15/3 ≤ - 5
The answer is: D. x ≤ - 5
a cell phone company offers two different monthly plans.plan a charges $41 for unlimited cell phone minutes plus $0.10 per text message.Plan b charges $31 for unlimited cell phone minutes plus $0.15 per text message.How many text messages must a customer send in order for the cost of plan a to be equal to cost of plan b
41+0.10x = 31+0.15x
10 +0.10x=0.15x
10=0.05x
x=10/.05
x= 200 text messages
check 200*0.10 = 20 +41 =61
200*0.15 = 30+31 = 61
they equal each other so number of texts is 200
A customer must send 200 text messages for the cost of Plan A ($41 plus $0.10 per text) to be equal to the cost of Plan B ($31 plus $0.15 per text).
To find out how many text messages a customer must send for the cost of Plan A to be equal to the cost of Plan B, we can set up an equation based on the cost structures given. Let x be the number of text messages sent.
Cost of Plan A: $41 + $0.10x
Cost of Plan B: $31 + $0.15x
To find the point where both plans cost the same, we set the costs equal to each other:
41 + 0.10x = 31 + 0.15x
Solving the equation:
0.05x = 10
x = 10 / 0.05
x = 200
The customer must send 200 text messages for the costs of Plan A and Plan B to be equal.
Given the Arithmetic sequence A1,A2,A3,A4A1,A2,A3,A4
29, 39, 49, 59
What is the value of A33A33?
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impatient, Byron also uses the lawn sprinkler to add water to the pool so it is filled more quickly. If the hose and sprinkler are used together, it takes 5 minutes to fill the pool. Which equation can be used to determine r, the rate in parts per minute, at which the lawn sprinkler would fill the pool if used alone?
+ 5r = 8
+ 5r = 1
5() = r
= 5r
Let us say that the procedure of completely filling up the pool with water is called “1 job”. Therefore the rates of the equipment in doing the job would be:
Rate of handheld hose = 1 job / 8 minutes ---> 1
Rate of lawn sprinkler = r ---> 2
Rate of the two combines = 1 job/ 5 minutes ---> 3
So we are to find the equation to use, in this case, we simply have to add equations 1 and 2 to get 3:
1 / 8 + r = 1 / 5
Multiplying both sides by 5:
(5 / 8) + 5 r = 1 ---> ANSWER
Answer:
5/8 + 5r = 1
Step-by-step explanation:
Right on edge!
A flat rectangular piece of aluminum has a perimeter of 66 inches. The length is 15 inches longer than the width. Find the width.
In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?
In a certain town 22 of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
Answer:
4.6
Step-by-step explanation:
Allow me to revise your question and hope it will be the same as the original one:
In a certain town 22% of voters favor a given ballot measure for groups of 21 voters find the variance for the number who favor the measure
a. 1.9
b. 13
c. 4.6
d. 3.6
Here is my answer:
Given:
22% of voters favor a given ballot = 0.22 Groups of 21 votersSo the variance is: 21*0.22 = 4.6
We choose B
One bag of Glizard wood chips covers a 215 square foot area. How many total bags of wood chips must be purchased to cover an area that is 42 feet by 61 feet?
42 x 61 = 2562
2562/215 = 11.92
12 total bags are needed
find cosx if tanx cscx=2
A)2
B)square root 2
C)square root 2/2
D)1/2
The value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2
What is Trigonometry?From the question, we are to determine the value of cosx
From the given information,
tanx cscx=2
Recall that,
[tex]tan(x )= \frac{sin (x)}{cos(x)}[/tex]
and
[tex]csc(x) = \frac{1}{sin(x)}[/tex]
Then,
Substitute these values into the given equation
tanx cscx = 2 becomes
[tex]\frac{sin (x)}{cos(x)} \times \frac{1}{sin(x)} = 2[/tex]
[tex]\frac{1}{cos(x)} = 2[/tex]
∴ [tex]cos(x) = \frac{1}{2}[/tex]
Hence, the value of cosx if "tanx cscx = 2" is 1/2. The correct option is D)1/2
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eliminate the parameter. x = 5 cos t, y = 5 sin t help please!
Final answer:
To eliminate the parameter 't' from the equations x = 5 cos t and y = 5 sin t, use the Pythagorean identity which leads to the non-parametric equation of a circle: x^2 + y^2 = 25.
Explanation:
To eliminate the parameter 't' from the parametric equations x = 5 cos t, y = 5 sin t, we can use the Pythagorean identity sin^2(t) + cos^2(t) = 1. Plugging in the given expressions for x and y:
(x/5) = cos(t)
(y/5) = sin(t)
We can square both sides of these equations and then add them together:
(x/5)^2 + (y/5)^2 = cos^2(t) + sin^2(t)
As cos^2(t) + sin^2(t) equals 1, the equation simplifies to:
(x/5)^2 + (y/5)^2 = 1
Thus, the eliminated parameter equation representing the same curve without the parameter 't' is:
x^2 + y^2 = 25
This is the equation of a circle with a radius of 5, centered at the origin.
A store has a $43.89 item on sale. The total discount of the sale is $9.66. What is the sale percentage off on this item?
$765.13 is deposited at the end of each month for 2 years in an account paying 12% interest compounded monthly. Find the amount of the account. Round your answer to the nearest cent.
The final amount is = $ 959.779
What is compound interest?
Compound interest is when you earn a hobby on both the cash we've got stored and the hobby we earn.
calculation:-
principal amount = $765.13
rate if interest = 12%
for 1st year:-
interest amount= $765.13*12/100
= $ 91.8156
final amount = $765.13 + $ 91.8156
= $ 856.9456
for 2nd year:-
principal amount = $ 856.9456
12% interest on $ 856.9456 = $ 102.833472
final amount = $ 856.9456+$ 102.833472
= $ 959.779 answer
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If point A lies on the line of reflection, where does the reflected image, point A', lie?
Davis Construction is building a new housing development. They begin by mapping the development out on a coordinate grid. They place one of the two swimming pools at (-4, -1) and another at (6, 3). If they want the clubhouse to be exactly halfway between the two pools, find the coordinates of the clubhouse.
EASY 5 POINTS!! Which expression gives the correct volume of the figure?
Answer : The correct option is, [(10 × 4 × 5) + (5 × 5 × 5)] cubic inches.
Step-by-step explanation :
As we know that,
Formula used for volume of cube is:
[tex]V=(a)^3[/tex]
or,
[tex]V=a\times a\times a[/tex]
where,
V = volume of cube
a = side of cube
Formula used for volume of cuboid is:
[tex]V=l\times b\times h[/tex]
where,
V = volume of cuboid
l = length of cuboid
b = breadth of cuboid
h = height of cuboid
The given figure is formed by the combination of two figure that is cube and cuboid.
Volume of cube = [tex](a)^3[/tex]
Given :
a = side of cube = 5 inch
Volume of cube = [tex]5\times 5\times 5[/tex] cubic inches
and,
Volume of cuboid = [tex]l\times b\times h[/tex]
Given :
l = length of cuboid = 10 inch
b = breadth of cuboid =5 inch
h = height of cuboid = 4 inch
Volume of cuboid = [tex]10\times 5\times 4[/tex] cubic inches
Total volume of figure = Volume of cuboid + Volume of cube
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
Thus, the correct volume of the figure will be,
[tex](10\times 5\times 4)+(5\times 5\times 5)[/tex] cubic inches
Question part points submissions used give two sets of five numbers that have the same mean but different standard deviations. set 1: 2, 3, 7, 11, 12 set 2: 5, 6, 7, 8, 9 set 1: 2, 4, 6, 8, 10 set 2: 3, 4, 5, 7, 11 set 1: 4, 5, 7, 8, 11 set 2: 3, 6, 7, 9, 10 set 1: 3, 4, 6, 9, 13 set 2: 2, 5, 7, 8, 13 set 1: 4, 6, 7, 8, 15 set 2: 3, 6, 7, 10, 14 give two sets of five numbers that have the same standard deviation but different means.