Answer:
The print is 18 inches longer then it is wide
Step-by-step explanation:
I multiplied 12 x 4 becuase there are 12 inches in a foot to get 48 inches. So the print is 48 inches long. Then I multiplied 2 times 12 to get 24 and then 24+6 + 30 so the rug is 30 inches wide. Finally I subtracted 30 from 48 to get the diffrence in inches. Which is 18 :)
Find the volume of the solid whose base is the semicircle y= squareroot( 16-x^2), where -4< x< 4 and whose cross section perpendicular axis are squares
The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³
To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.
To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.
Thus the volume is given as follows:
y = √(16 - x²)
V = ₋₄∫⁴ (√(16 - x²))² dx
V = ₋₄∫⁴ (16 - x²) dx
V = [16x - x³/3]₋₄⁴
V = (64 - 64/3 + 64 -64/3)
V = 256/3 unit³
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An angle has a measure of n degrees. Which of the following expressions would be used to find the measure of its complement?
a. n - 90
b. 90 -n
c. 180 - n
d. n - 180
9514 1404 393
Answer:
b. 90 -n
Step-by-step explanation:
The sum of an angle and its complement is 90 degrees. If c represents the complement, this means ...
n +c = 90
c = 90 -n . . . . . . . . . subtract n from both sides of the equation
The expression 90 -n can be used to find the complementary angle.
Can you please help me i want to know the steps to solve this problem i dont want the answer so i can learn to do this on my own
Answer:
Hint: everything in that big [] is to the power of zero. anything to the power of zero is one. so
1+(6-8)=?
the function h(x) = 4(x^2) - 5x, what is the value of h(-3)?
-93
-9
21
51
159
Answer:
h(-3) = 51
Step-by-step explanation:
h(x) = 4(x^2) - 5x h(-3)
h(-3) = 4(-3²) - 5(-3)
h(-3) = 4(9) + 15
h(-3) = 36 + 15
h(-3) = 51
Please help. How can i find the volume of cylinder
THE # are the blue and grey
The volume of the cylinder would be 2120.6\(units^3.\)
To find the volume of a cylinder, you need to use the formula:
Volume = π x \(radius^2\) x height
Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.
To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.
For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:
Volume = π x \(radius^2\)x height
Volume = 3.14159 x\(5^2\)x 27
Volume = 2120.6 \(units^3\)
Therefore, the volume of the cylinder would be 2120.6\(units^3.\)
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A notebook costs £1.40, a pen costs 37p , a pencil costs 24p and a sharpener costs 77p.
Remi buys 2 pencils, 3 pens, 3 sharpeners and some notebooks.
He pays with £9 and receives 90p change.
How many notebooks did he buy?
Answer:
Remi bought 3 notebooks
Step-by-step explanation:
Let n = number of notebooks.
2 pencils cost 2 * £0.24 = £0.48
3 pens cost 3 * £0.37 = £1.11
3 sharpeners cost 3 * £0.77 = £2.31
n notebooks cost n * £1.40 = £1.4n
The total cost is £9 - £0.90 = £8.1
0.48 + 1.11 + 2.31 + 1.4n = 8.1
1.4n + 3.9 = 8.1
1.4n = 4.2
n = 3
Answer: Remi bought 3 notebooks.
The number of notebooks Remi would need to buy is 2.
How many notebooks did he buy?Let's solve this problem step by step.
First, let's calculate the total cost of the items Remi bought.
The cost of 2 pencils would be 2 * £0.24 = £0.48.
The cost of 3 pens would be 3 * £0.37 = £1.11.
The cost of 3 sharpeners would be 3 * £0.77 = £2.31.
Let's assume the number of notebooks Remi bought is 'x'.
The cost of 'x' notebooks would be x * £1.40 = £1.40x.
So, the total cost of all the items would be:
£0.48 + £1.11 + £2.31 + £1.40x = £0.48 + £1.11 + £2.31 + £1.40x = £4.90 + £1.40x.
According to the given information, Remi paid with £9 and received 90p change.
Therefore, we can set up the equation:
£9 - £4.90 - £1.40x = 90p.
To simplify the equation, we need to convert 90p to pounds. Since £1 = 100p, 90p = 90/100 = £0.90.
Now, let's solve the equation:
£9 - £4.90 - £1.40x = £0.90.
Combining like terms, we get:
£4.10 - £1.40x = £0.90.
Now, let's isolate the 'x' term:
£4.10 = £0.90 + £1.40x.
Subtracting £0.90 from both sides, we get:
£3.20 = £1.40x.
Now, let's isolate 'x':
x = £3.20 / £1.40.
x ≈ 2.29.
Since we can't have a fraction of a notebook, we need to round the value to the nearest whole number.
So, Remi bought approximately 2 notebooks.
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What base could be written in the blank to make the exponential function model 15% decay? y=(_)t1/2
The exponential function that models a 15% decay is: y = (0.85)^t^(1/2)
To find the base that could be written in the blank to make the exponential function model a 15% decay, we can start by understanding the nature of exponential decay.
The general formula for exponential decay is given by:
y = A(1 - r)^t
Where:
y represents the final amount or value after time t.
A is the initial amount or value.
r is the decay rate (expressed as a decimal).
t is the time.
In this case, we want to find the decay rate (r) that corresponds to a 15% decay. A 15% decay means that the final amount is 85% of the initial amount. So, we can write the equation as:
y = A(1 - 0.15)^t
Simplifying further:
y = A(0.85)^t
Comparing this equation to the given form y = (_)t^(1/2), we see that the base in the blank must be 0.85.
Therefore, the exponential function that models a 15% decay is:
y = (0.85)^t^(1/2)
This equation represents a scenario where the initial value or amount (A) is being reduced by 15% over time (t), with the exponent of 1/2 indicating that the decay occurs at a square root rate.
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a.
39. A digital watch set accurately at 8:30 am and then lost 2 second
every minute. What time was indicated on the watch at 6:30 pm
of the same day. If the watch operated in a continuous way until
that time.
Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?
Answer:
76 percent.
Step-by-step explanation:
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Calculate the circumference of a circle with a radius of 8 inches.
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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Find the approximate area of the shaded region. Use 3.14 for pi
The area of the shaded region of the rectangle is approximately 573.92 square feet.
What is the area of the shaded region?The figure in the image is that of a rectangle with a semi-circle inscribed in it.
The area of rectangle is expressed as:
Area = Length × Width
The area of semi-circle is expressed as:
Area = 1/2 × πr²
To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.
Area of shaded region = area of rectangle - area of semi-circle
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
From the image:
Length = 40 ft
Width = 20 ft
Radius r = 12 ft
Plug the values into the above formula:
Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )
Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )
Area of shaded region = ( 800 ) - ( 226.08 )
Area of shaded region = 573.92 ft²
Therefore, the area is approximately 573.92 square feet.
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I need the answer to this equation
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
PLEASE HELP IM BRAINLIEST
Answer:
RT
Step-by-step explanation:
Can anyone give me any answers for the first 2 in each coloured section please
Under which of the following conditions is it preferable to use stratified random sampling rather than simple random sampling? The population can be divided into strata of equal sizes so that each individual in the population still has the same chance of being selected The population can be divided into a small number of strata so that each stratum contains a large number of individuals. The population can be divided into a large number of strata so that each stratum contains on ly a few individuals. O The population can be divided into homogeneous groups and thena random sample collected from each strata. The population can be divided into heterogeneous groups and then a random sample of strata are collected.
The condition that is it preferable to use stratified random sampling rather than simple random sampling is C. The population can be divided into a large number of strata so that each stratum contains only a few individuals
What is a stratified sampling?Stratified sampling is a method of sampling from a population that can be divided into subpopulations in statistics. When sampling subpopulations within an overall population in statistical surveys, it may be advantageous to sample each subpopulation independently.
Stratified random sampling is a sampling method that divides a population into smaller subgroups known as strata. Strata are formed in stratified random sampling, or stratification, based on members' shared attributes or characteristics, such as income or educational attainment.
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6.333 x 10^2 standard form
MY BAD!
Answer:
633.3
Step-by-step explanation:
Summarizing allows you to focus on the important information by finding the introduction, topic sentence and
conclusion.
Please select the best answer from the choices provided
True or false
True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.
Importance of summarySummarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.
This process enables the reader to grasp the core message of the text quickly and efficiently.
By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.
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Are the triangles similar?
1.These triangles are not similar.
2.These triangles are similar by AA.
3.These triangles are similar by SAS.
4.These triangles are similar by SSS.
Answer:
Yes, the triangles are SIMILAR, not exact.
Step-by-step explanation:
None.
Answer:
yes
no
no
yes
Step-by-step explanation:
I need the area please
Answer:
120
Step-by-step explanation:
Figure shown is a parallelogram
Area of a parallelogram = base length times height
Given base length: 15in
Given height:8in
Area = 8 * 15 = 120in^2
Answer:
120 in.²
Step-by-step explanation:
8 in. × 15 in. = 120 in.²
answer this guys i will give brainliest! have a good day !!!
The ratios are;
Sin θ = 5/6
Cos θ = √11/6
Tan θ = 5√11/11
Sec θ = 6√11/11
Cosec θ = 6/5
Cot θ = √11/5
What are the six trigonometric ratios?These trigonometric ratios are used to relate the angles of a right triangle to the lengths of its sides
We can see that the hypotenuse is obtained from;
x =√\((10)^2 + (2\sqrt{} 11)^2\)
x = √100 + 44
x = 12
Then;
Sin θ = 10/12 = 5/6
Cos θ = 2√11/12
= √11/6
Tan θ = 10/2√11
= 20√11/44
= 5√11/11
Sec θ = 1/Cos θ
= 6/√11
= 6√11/11
Cosec θ = 1/Sin
θ = 6/5
Cot θ = 1/tan θ
= 11/ 5√11
= 55√11/275
= √11/5
Sinβ = 2√11/12
= √11/6
Cos β = 10/12
= 5/6
Tan β = 2√11/10
= √11/5
Sec β = 6/5
Cosec β = 6√11/11
Cot β = 5√11/11
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Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answer:
es verdadero
Step-by-step explanation:
If the owner of a sole proprietorship is sued by a customer who slipped and fell in her store,
the sole proprietor is personally liable for damages the injured woman is awarded by the courts
the sole proprietor is not liable under any circumstance
the sole proprietor is covered by a Small Business Administration insurance policy
the sole proprietor is liable only for a small fraction of any damages
Answer:
the sole proprietor is personally liable for damages the injured woman is awarded by the courts.
Step-by-step explanation:
What is the volume of the object?
Two rectangular prisms are side by side. The dimensions of the larger rectangular prism are 8 c-m, 6 c-m, and 13 c-m and the dimensions of the smaller rectangular prism are 3 c-m, 4 c-m, and 7 c-m.
A
41cm3
B
526cm3
C
708cm3
D
52,416cm3
The total volume is the one in option C, 708 cubic centimeters.
What is the volume of the object?We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.
Then the volume of the first prism is:
V = 8cm*6cm*13cm = 624 cm³
And the volume of the second prism is:
v' = 3cm*4cm*7cm = 84 cm³
Adding that we will get:
total volume = 624 cm³+ 84 cm³ = 708 cm³
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2) What is 4 x a x 5 x b in simplest form?
Answer:
20ab
Step-by-step explanation:
The table shows the worldwide box office (in billions of
dollars) for the movie industry during the years shown.
Year
2001
2003
2005
2007
2009
Box office
(in billions of dollars)
17.1
18.2
19.3
21.5
23.7
a. Write this paired data as a set of ordered pairs of
the form (year, box office).
What is the ordered pair that corresponds to the first
row of data given in the table?
Answer:
193 is it I'm not lying
Step-by-step explanation:
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
,
,
The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3
How to determine the x-coordinates where the graphs of the equations intersect?From the question, we have the following parameters that can be used in our computation:
y = 2x
y = x² - 3
The x-coordinates where the graphs of the equations intersect is when both equations are equal
So, we have
x² - 3 = 2x
Rewrite the equation as
x² - 2x - 3 = 0
When the equation is factored, we have
(x + 1)(x - 3) = 0
So, we have
x = -1 and x = 3
Hence, the x-coordinates are x = -1 and x = 3
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Question
From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.
y = 2x
y = x² - 3
what does .47+.28 equal to
Answer:
0.75
Step-by-step explanation:
0.47 + 0.28 = 0.75
Answer:.75 or;3/4
Step-by-step explanation: .47 +.28=.75