Answer:
15%
Step-by-step explanation:
15% of 40 is 6.
A cylindrical container with a diameter of 0.5 feet and a height of 5 feet is filled with gas that costs $60 per cubic foot. What is the total value of the gas in the container if it's filled completely?
Total value in dollars, to the nearest penny:
Answer: $235,62
Step-by-step explanation:
You need to use the formula for calculate the volume of a cylinder:
[tex]V=\pi r^2h[/tex]
Where "r" is the radius and "h" is the height.
You know that the cylindrical container has a diameter of 0.5 feet and a height of 5 feet (Remember that the radius if half the diameter):
[tex]r=\frac{0.5ft}{2}=0.25ft\\\\h=5ft[/tex]
Then, you need to substitute these values into [tex]V=\pi r^2h[/tex] to get the volume of the cylindrical container:
[tex]V=\pi (0.5ft)^2(5ft)[/tex]
[tex]V=3.92ft^3[/tex]
Since the gas costs $60 per cubic foot, you need to multiply the volume of the container by $60 to get the total value of the gas in the container if it's filled completely. Then:
[tex]total\ value=(3.92)(\$60)=$235,62[/tex]
Anissa is considering buying her first home. The house she is interested in buying is priced at $139,000. Anissa qualifies for a 30-year mortgage at 6.45%. What will be her monthly mortgage payment?
Answer:
A
Step-by-step explanation:
Answer:
The correct answer is option A.
Step-by-step explanation:
The EMI formula is ::
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Here,
p = 139000
r = [tex]6.45/12/100=0.005375[/tex]
n = [tex]30*12=360[/tex]
Now, putting these values in formula we get,
[tex]\frac{139000*0.005375*(1+0.005375)^{360} }{(1+0.005375)^{360}-1 }[/tex]
[tex]\frac{139000*0.005375*(1.005375)^{360} }{(1.005375)^{360}-1 }[/tex]
= $874.01
Therefore, option A is the answer.
Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine (y) and the number of times the oil is changed (x). When the data is shown on a scatter plot, the equation for the line of best fit is y = 0.4125x + 0.1576. What is the relationship between 0.4125 and the life of the car's engine?
Answer:
Strong and Positive Relation
Step-by-step explanation:
Here, when we plot the graph of y = 0.4125x + 0.1576
Then we see that the graph has a positive correlation as we increase the value of x, the value of y is also increasing. So, Life of Car's Engine and Number of Times the Oil is Changed has a Positive relation.
And if our scatter plot is horizontal, vertical or we unable to draw the line of best fit then it has no or little correlation but here we see that line is not lie in either case. So, the relationship is strong but not very strong.
Answer :
A) 0.4125 shows how much the longevity of the engine increases with each oil change.
B) 0.4125 shows the expected longevity with no all changes.
C) 0.4125 shows the expected longevity for all engines, with or without oil changes.
D) 0.4125 is the expected decrease in longevity for each year without an oil change.
Step-by-step explanation: THE answer IS A!!
( i just took the test)
An airplane is traveling at 400 miles per hour. Which equation can be used to find the total distance the plane will travel in h hours?
1. d = h ÷ 400
2. d = h + 400
3. d = 400 x h
4. d = 400 - h
The equation that can be used to find the total distance the plane will travel in h hours is d = 400 × h
Total distance traveled by the plane = d miles
Total hours traveled = h hours
total speed of the plane = 400 miles per hour
Distance traveled = speed × time
d = 400 × h
d = 400h
Therefore, the equation that can be used to find the total distance the plane will travel in h hours is d = 400 × h
Read more:
https://brainly.com/question/11766874
The correct option is 3. [tex]\ d = 400 \times h[/tex]
To determine the total distance \(d\) an airplane will travel given its speed and time, we use the formula:
[tex]\[\text{Distance} = \text{Speed} \times \text{Time}\][/tex]
Given:
[tex]\text{Speed of the airplane} = \text{400 miles per hour}[/tex]
[tex]Time = \(h\) hours[/tex]
Plugging in the values:
[tex]\[d = 400 \times h\][/tex]
1.2, 3, 7.5, 18.75, ...
Which formula can be used to describe the sequence?
Answer:
The formula is:
[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]
Step-by-step explanation:
The geometric sequences are those in which the division between the terms [tex]a_{n + 1}[/tex] and [tex]a_n[/tex] of the sequence are equal to a constant common reason called "r"
The geometrics secencias have the following form:
[tex]a_n=a_1(r)^{n-1}[/tex]
Where [tex]a_1[/tex] is the first term of the sequence
In this sequence we have the following terms
1.2, 3, 7.5, 18.75
Then notice that:
[tex]\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}[/tex]
Then:
[tex]r=\frac{5}{2}[/tex] and [tex]a_1=1.2[/tex]
Finally the formula is:
[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]
Answer:
Answer: "f(x) = 1.2(2.5)x-1"
Step-by-step explanation:
What information does the mode of a data set provide?
Answer:
The frequency of a number
Step-by-step explanation:
The mode in a data set provides how frequent a number in a data set appears.
For example, take the following data set:
1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10
The mode of this data set would be 3.
This is because 3 is repeated more frequently in the data set than any other number.
1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10
I hope this helps!
Write .0487 as a percent.
A) 0.0487%
B) .487%
C) 4.87%
D) 48.7%
[tex]\text{Hey there!}[/tex]
[tex]\text{Decimals can run out 100}[/tex]
[tex]\text{So,}\frac{0.0487\%}{1}\times\frac{100}{100}[/tex]
[tex]\text{Cross multiply: .0487}\times100=4.87\\ 100\times1=100[/tex]
[tex]\text{We get:}\frac{4.87}{100}[/tex]
[tex]\text{We could get rid of the 100 value because it is labeled as: per}[/tex]
[tex]\text{But, you can keep the 4.87 because it is the percentage of .0487}[/tex]
[tex]\boxed{\boxed{\text{Answer:C.) 4.87\%}}}[/tex] [tex]\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Final answer:
Decimal .0487 converts to 4.87% when we move the decimal point two places to the right. The correct answer is C, 4.87%.
Explanation:
To convert the decimal .0487 into a percent, we need to move the decimal point two places to the right, in accordance with the process described for converting decimals to percents. This gives us 4.87%, which means the correct answer is option C.
How do you do this problem?
12y = 1224
12 x y = 1224
1224 divided by 12 = y
Answer:
the answer is 102.
Step-by-step explanation:
Answer:
12y = 122412 xy = 12241224 divided by 12 = y12y = 1224 = 10212 xy = 1224 = xy = 1021224 divided by 12 = 102Hope this helps!!!
Factor the expression completely 8y-36
Please help fast
Answer:
4(2y−9)
Step-by-step explanation:
lets factor out "4" out of the equation 8y-36
so u will get: 4(2y−9)
hope this helps
Solve for y
220-y = 29
Answer:
y = 191
Have a great day :)
Hope this helps !
5INGH
Step-by-step explanation:
220 - y = 29
( - 220 from both sides )
- y = - 191
( × -1 on both sides )
y = 191
Answer:
y= 191
Step-by-step explanation:
This is a one step process:
Subtract 220 from both sides to get y by itself, and you have your answer! (since both sides are negative mulltipy both, to get a positive solution)
lena made $90 for 5hours of work at the rate how many hours would she have to work to make 324$
hiii
here is the solution
hope it helps
Which equation is NOT a linear? function
Answer:
Step-by-step explanation:
A linear function involves two variables which are in their first power form, such as x and y.
A nonlinear function may include two variables, one or more of which are of the 2nd or higher power.
Unfortunately, you did not share the possible answer choices, so I cannot be more specific. I'd suggest you repost this question, with answer choices, if you still want guidance here.
y = x^2 - 2 is NOT a linear function, because of that power (2). Note how all the other choices show x to the 1st power.
A linear function is represented by an equation in the form y = a + bx and generates a straight line when plotted on a graph. Any equation that does not fit this form, such as quadratic, exponential, trigonometric, or inverse functions, which generate curves when plotted, are not linear functions.
Explanation:The question asks which equation is not a linear function. A linear function is one that can be represented by an equation in the form y = a + bx, where 'a' and 'b' are constants and 'x' is the independent variable. This form of function generates a straight line when plotted on a graph, with 'b' representing the slope of the line and 'a' representing the y-intercept, where the line crosses the y-axis.
An equation that does not fit this form is not a linear function. For instance, a quadratic function, represented by a second-order polynomial equation such as y = ax^2 + bx + c, is not linear. These types of equations generate curves when plotted on a graph, not straight lines.
Futhermore, any other function types such as exponential, trigonometric, or inverse, which generate curves that are not straight lines when plotted, are also not linear functions.
Learn more about linear function here:https://brainly.com/question/29205018
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a punch recipe calls for 2parts soda to 3 parts fruit juice. if you use 8 cups of soda, of soda how much fruit juice do need
Answer:
12 parts of fruit juice
To maintain the 2:3 ratio of soda to fruit juice, if you use 8 cups of soda, you would need 12 cups of fruit juice.
The punch recipe calls for 2 parts soda to 3 parts fruit juice. If you are using 8 cups of soda, you need to determine how much fruit juice is required using the given ratio. To do this, we can set up a proportion:
Soda: 2 parts
Fruit juice: 3 parts
If 2 parts are represented by 8 cups of soda, then 1 part would be 4 cups of soda (since 8 divided by 2 equals 4). Therefore, for 3 parts of fruit juice, we need 3 times 4 cups, which is 12 cups of fruit juice.
Here is the calculation:
2 parts : 3 parts
8 cups : x cups
x = rac{3}{2} times 8 cups
x = 3 times 4 cups
x = 12 cups
So, you will need 12 cups of fruit juice to maintain the proper ratio if using 8 cups of soda.
Which triangle has a bigger area:
1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.
The 2nd triangle has a bigger area, because since it has 2 sides that are equal to the first and its 3rd side is larger than the 1st triangle, it would have larger area, because it would have to have a larger area to have a larger side.
Answer:
Which triangle has a bigger area:
1. A triangle with sides measuring 300, 400, and 500.
2. A triangle with sides measuring 300, 400, and 700.
Step-by-step explanation:
The second triangle has the largest area, because although the two triangles have two sides with the same size, the third is larger in the second triangle, 700 of the second, versus 500 of the first, and hence the area is also greater than in the first.
Please explain your answer. THX!!!
Answer:
tan(5x/8)
Step-by-step explanation:
given expression
[tex]\frac{tan(1/2x)+tan(1/8x)}{1-tan(1/2x)tan(1/8x)}[/tex]
Using the trigonometric identity
tan(a+b)= [tex]\frac{tan(a) + tan(b)}{1-tan(a)tan(b)}[/tex]
here a= 1/2x and b=1/8x
putting the values we get
=tan(1/2x+1/8x)
=tan(5/8x)!
The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.
Assuming this rate of growth continues, in what year will the GNP reach $10 trillion?
A. 2103
B.2152
C. 2164
D.2168
Answer:
B.2152
Step-by-step explanation:
To solve this we are using the standard exponential growth equation:
[tex]y=a(1+b)^x[/tex]
where
[tex]y[/tex] is the final value after [tex]x[/tex] years
[tex]a[/tex] is the initial value
[tex]b[/tex] is the growing rate in decimal form
[tex]x[/tex] is the time in years
We know from our problem that the GNP is growing 4.8% per year, so [tex]b=\frac{4.8}{100} =0.048[/tex]. We also know that the GDP in 1994 was $5.9 billion and the desired GNP is $10 trillion, so [tex]a=5,900,000,000[/tex] and [tex]y=10,000,000,000,000[/tex].
Replacing values
[tex]y=a(1+b)^x[/tex]
[tex]10,000,000,000,000=5,900,000,000(1+0.048)^x[/tex]
[tex]10,000,000,000,000=5,900,000,000(1.048)^x[/tex]
Divide both sides by 5,900,000,000:
[tex]\frac{10,000,000,000,000}{5,900,000,000} =(1.048)^x[/tex]
Take natural logarithm to both sides
[tex]ln(1.048)^x=ln(\frac{10,000,000,000,000}{5,900,000,000})[/tex]
[tex]xln(1.048)=ln(\frac{10,000,000,000,000}{5,900,000,000})[/tex]
Divide both sides by ln(1.048)
[tex]x=\frac{ln(\frac{10,000,000,000,000}{5,900,000,000})}{ln(1.048)}[/tex]
[tex]x[/tex] ≈ 158
We now know that Canada's GNP will reach $10 trillion after 158 years from 1994, so to find the year we just need to add 158 years to 1994:
1994 + 158 = 2512
We can conclude that the correct answer is B.2152
In the figure M ab =45 and M cd= 23 what is the value of x?
Answer:
34°
Step-by-step explanation:
The measure of vertical angles formed by two chords is equal to one half the sum the measures of the arcs.
In other words, x is the average:
x = (23° + 45°) / 2
x = 34°
15 POINTS
Area of a square is 20.4 feet ^2. Find x.
Length is x.
Width is 3.4 ft.
I think the answer would be 122.4
Find the probability of x = 5 successes in n = 8
trials for the probability of success p = 0.3 on
each trial. Round to the nearest thousandth.
A.) 5.6
B ) 0.46
C.) 0.254
D.) 0.047
La letra C puede ser la respuesta correcta pero tengo mis dudas.
The probability of x = 5 successes in n = 8
trials for the probability of success p = 0.3 IS A.) 5.6
What is binomial probability?Binomial possibility refers to the opportunity of exactly x successes on n repeated trials in a test that has two feasible outcomes (generally known as a binomial test). If the possibility of fulfillment on an individual trial is p, then the binomial chance is nCx⋅px⋅(1−p)n−x.The letter p denotes the probability of achievement on one trial and q denotes the probability of a failure on one trial. The n trials are impartial and are repeated using the same situations.Learn more about probability here:-https://brainly.com/question/24756209
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Okay lol I need help (T ^ T)
Answer:
The first one is 179. The second one is 162 The second one is shorter by 17 miles.
Step-by-step explanation:
I got that because 1:53+28=81+98=179 2:28+49=77+85=162
179-162=17
Can I get brainliest
PLZ HELP 10 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
880cm²
Step-by-step explanation:
Find areas and add them first the one at the bottom middle. 20x8 = 160. Now above it 20x10 = 200. To the left 8x10 = 80. To the right 8x10 = 80. Go up 8x20 = 160. Last block up 10x20 = 200. Add the areas => 880cm²
Find the slope y-intercept and equation for the data in the table and in the graph can someone please help me
Answer:
The y-intercept is 0
The equation is y=3x
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-coordinate of the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
Observing the table
For x=0, y=0
therefore
b=0
Find the slope between the points (0,0) and (1,3)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
the equation is equal to
[tex]y=3x+0[/tex]
[tex]y=3x[/tex]
will give brainliest plzz answer!!!!!Find the solution to the system of equations by using either graphing or substitution.
y = 6 – x and y = x – 2
(2, 4)
(–4, 2)
(4, 2)
no solution
The correct answer should be x=4, y=2 or (4, 2)
What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
a.
positive
b.
negative
ANSWER
a.
positive
EXPLANATION
The given binomial expansion is:
[tex] {(x - y)}^{n} [/tex]
We can see that the second term is negative (-y).
When we expand this binomial for n=3,4, and 5, the sign is got to alternate.
The first term is positive
The second term negative
The third term is positive
The first choice is correct.
Answer:
A;)
Step-by-step explanation:i dont have negative sign
Help in linear pairs and vertical angles
elg=124°
eld=2x
elg+eld=180°=>eld=180°-124°=56°/eld=2x=56°=>x=56°/2=28°
eld+dlh=180°=>dlh=180°-56°=124°
hlg+dlh=180°=>hlg=180°-124°=56°
Answer:
from the figure we get x = 28
Step-by-step explanation:
Proof is given below
Statements Reason
1). <ELG = 124 Given
2). <ELD = 2x Given
3). <ELG and ELD are linear Definition of linear pair
a pair
4). m<ELD + m<ELG = 180 Sum of linear pair angles 180
5). 2x + 124 = 180 Substitution
6). 2x = 180 - 124 = 56 Subtraction property
7). x = 28 Division property
a movie starts at 2:30 pm and ends at 4:15 pm. after the movie anne and her friends go for ice cream. they eat ice cream from 4:30 pm to 5:00pm how much time elapsed from the start of the movie to the time the friends finished their icecream
Answer:
The answer is two hours and thirty minutes.
Step-by-step explanation:
The movie starts at 2:30 PM, and Anne and her friends finish their ice cream at 5:00 PM. If you add two hours and thirty minutes to 2:30 PM, you reach 5:00 PM.
Two hours 30 minutes a
please help!!!!!!!!!!!!
Answer:
see answers in bold below
Step-by-step explanation:
a. The area of each red triangle is given by the formula for the area of a triangle:
A = 1/2·bh
The base is 14 ft - 10 ft = 4 ft. The height is shown as 4 ft, so the area of each triangle is ...
A = (1/2)(4 ft)(4 ft) = 8 ft²
Then the red area is that of the two triangles:
red area = 2·(8 ft²) = 16 ft²
The white rectangle area is the product of its length and width:
white area = (8 ft)(4 ft) = 32 ft²
The area of the whole central parallelogram is the product of its length and width:
parallelogram area = (14 ft)(8 ft) = 112 ft²
But the yellow area is the difference between this value and the white area:
yellow area = 112 ft² -32 ft² = 80 ft²
__
b. The area to be primed is the sum of the areas to be painted different colors:
primed area = red area + white area + yellow area
= 16 ft² + 32 ft² + 80 ft²
primed area = 128 ft²
_____
In the attached figure, each grid square is 2 ft.
Need help ASAP math
Answer:
C
Step-by-step explanation:
We know it's direct variation using the direct variation equation.
[tex]y=kx[/tex]
Where k is the constant.
Since 7 times x is the y values, [tex]k=7[/tex]
Now we can substitute 7 into k of the direct variation equation.
[tex]y=7x[/tex]
What is the solution to the following equation? x+(-21)=8
Answer:
x is 29.
Step-by-step explanation:
x-21=8 (same equation to solve)
+21 +21 (add 21 to both sides)
-------------
x= 29
What is the square root of 125
Answer:
11.1803
Step-by-step explanation:
Answer:
The square root of 125 is 11.1803398875
Step-by-step explanation:
You know that 10 times 10 is 100. You would then go up from there to 11. If you need to round it, do it to the hundredths place though.