HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of the window is 6 and 3/ 4 feet, how many feet of the wood is needed to frame the window? Write your answer as a proper or improper fraction
Answers
The window is in the shape of a rectangle with the height of [tex]9 \frac{1}{3} [/tex] feet and width of [tex]6 \frac{3}{4} [/tex]. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is [tex]9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4} [/tex] = [tex]18 \frac{2}{3}+12 \frac{6}{4} [/tex]
We have two whole numbers 18 and 12 and two fractions [tex] \frac{2}{3} [/tex] and [tex] \frac{6}{4} [/tex]
Adding the two fractions that have different denominator
[tex] \frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12} [/tex], which is an improper fraction which we can change into a mixed number [tex]2 \frac{1}{6} [/tex]
So the perimeter of the window is
[tex]18+12+2 \frac{1}{6} =32 \frac{1}{6} [/tex]
and the length of wood needed for the frame is [tex]32 \frac{1}{6} [/tex] feet
Related Questions
Three students simplified the expression 2x- 3(y-2x) +-5times -2y.
Amber -4y + 7y
Butch 4x + 7y
Carl 8x + 7y
Who is correct? Explain the error the other students made
Answers
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism? a base area of 4y square units and height of 4y2 + 4y + 12 units a base area of 8y2 square units and height of y2 + 2y + 4 units a base area of 12y square units and height of 4y2 + 4y + 36 units a base area of 16y2 square units and height of y2 + y + 3 units
Answers
height y^2 + y + 3
V = b*h
V = 16y^2(y^2 + y + 3)
V = 16y^4 + 16y^3 + 48y^2
Last option
Answer:
D!
a base area of 16y2 square units and height of y2 + y + 3 units
An investigator wants to estimate caffeine consumption in high school students. how many students would be required to estimate the proportion of students who consume coffee? suppose we want the estimate to be within 5% of the true proportion with 95% confidence.
Answers
We can solve this problem by referring to the standard probability distribution tables for z.
We are required to find for the number of samples given the proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value of z equivalent to:
z = 1.96
Since the problem states that it should be within the true proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
p = 0.5
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
Around 385students are required.
16. Tamara’s dosage of medication has recently decreased 20 milligrams per day. What is the total decrease in Tamara’s medication at the end of the week? Show your work.
Answers
Decrease rate of the dosage = 20 mg / day
Total decrease = number of days * decrease rate per day = 7 days * 20 mg / day
Total decrease = 140 mg.
Answer: total decrease in Tamara's medication ant the end of the week is 140 mg.
Find the taylor polynomial t3(x) for the function f centered at the number
a. f(x) = e^(â3x) sin(2x), a = 0
Answers
[tex]\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots[/tex]
[tex]e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)[/tex]
[tex]\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)[/tex]
[tex]T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3[/tex]
[tex]T_3(x)=2x-6x^2+\dfrac{50}3x^3[/tex]
If the revenue for the week is $2000, and labor cost consist of two workers earning $8 per hour who works 40 hours each, whay is labor cost aa percentage of revenue?
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now, the revenue, sales income, is 2,000 bucks, how much is 640 off of?
well, if we take 2000 to be the 100%, what is 640 in percentage off of it?
[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 2000&100\\ 640&x \end{array}\implies \cfrac{2000}{640}=\cfrac{100}{x}[/tex]
solve for "x".
A ratio is a rate. Sometimes always or never true
Answers
The statement given above, "A ratio is a rate" is only sometimes true. This is only true when the unit of measurement of the denominator is in terms of time (seconds, minutes, hours, years, etc) because this would tell us how fast is something being done, consumed, etc. Example, the speed or rate of a car is 4 meters / 5 seconds.
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
Answers
x grams. = 4%
Set up a proportion
48/96 = x/4
96/24=4
48/24=2
x=2= grams in the granola
Add the value of 96% and the value of 4% to get the value of 100%
2+48=50
Final answer: 50 grams
Explain why you would want to keep some, but not all, receipts as part of your financial records.
Answers
You or we keep only those receipts
1. The receipt of those goods which has high transaction value, so that if there is a mismatch, at that time you can help the financial authorities or System.
2. We keep those receipts of goods,which are under warranty period or for which you are paying EMI.
3. Receipt of those goods which has very high amount printed on it, and it mismatch with our income ,i.e not correlated with our income Someone can make false claim to entangle you.
Answer:
1. The receipt of those goods which has high transaction value, so that if there is a mismatch, at that time you can help the financial authorities or System.
Step-by-step explanation:
Jason deposits $5,000 in a bank account that will pay him 4% simple interest annually. If Jason deposits no more than the initial 5,000 , how much money will be in the account at the end of 5 years ?
Answers
Here I=$5000, r=(4/100)=0.04 so
F=$5000(1+0.04t) so after 5 years...
F=$5000(1+0.2)
F=$6000
Simplify x^2-4x-32/x^2+7x+12
Answers
(x - 8)(x + 4) / (x+3)(x+4)
If x ≠ -4
Then it equals to:
(x-8) / (x+3)
Answer see form:
Most teachers enjoy teaching students. Most teachers are college graduates. Assuming these two statements are true, do some college graduates enjoy teaching students?
Answers
Answer:
yes some some college graduates enjoy teaching students.
Step-by-step explanation:
This question is based on reasoning.
Most teachers enjoy teaching students.
Most teachers are college graduates.
A syllogism is a form of logical reasoning formed by the joining of two or more premises to arrive at a conclusion.
So, here we can say that yes some some college graduates enjoy teaching students.
Compare the 3 in 536 to the 3 in 1,36 7.
Draw number 536 using base ten block?
Answers
For the number 1367. the order of the numbers from left to right is "thousands hundreds tens units", this means that the 3 is occupying the hundreds place.
As per the representation of 536 using base 10 blocks, it is shown in the attached picture:
The formula for finding the circumference of a circle is C=2πrC=2πr . Rearrange the formula to solve for the radius (r).
Answers
Divide by 2π:
r = C/2π
The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
Length: ___m
Width: ____m
Answers
The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81?The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81?
Answers
We are given the following variables:
Normal distribution
u = sample mean = 74
s = standard deviation of the samples = 7
x = sample value = 81
Since we are asked to find percent of the scores less than 81, this means we have to find the proportion using the z-score. The formula for z score is:
z = (x – u) / s
Substituting the given values:
z = (81 – 74) / 7
z = 1
Using the standard normal distribution tables for z, we find that:
P = 0.8413 at z = 1
Therefore this means that 84.13% of scores are less than 81.
The Answer is the two small boxes just got it right For Plato
FAR LEFT FAR RIGHT
A tape that records one hour and 30 minutes on each side moves at cm a second through the tape player. How long, in metres, is the tape?
Answers
Valerie predicts she will be able to hold her breath for 31 second while underwater. If she actually held her breath for 34 seconds, what was Valerie's percent error? Round your answer to the nearest tenth of a percent.
Answers
(31 - 34)/34 * 100 = 8.8%
If she actually held her breath for 34 seconds. Then the percentage error will be 8.82%.
What is the percentage error?The amount of error is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Valerie predicts she will be able to hold her breath for 31 seconds while underwater.
If she actually held her breath for 34 seconds.
Then the percentage error will be
[tex]\rm error \ \% = \dfrac{34-31}{34} \times 100\\\\\\error \ \% = \dfrac{3}{34} \times 100\\\\\\error \ \% = 8.82 \%[/tex]
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In a recent local taste contest testing Coke against Pepsi it was found that 3/5 of all people surveyed preferred to taste the Coke. if 7,500 people were in the survey how many chose Pepsi ?
Answers
Answer: 3,000
Step-by-step explanation:
Given : In a recent local taste contest testing Coke against Pepsi it was found that [tex]\dfrac{3}{5}[/tex] of all people surveyed preferred to taste the Coke.
If 7,500 people were in the survey , then the number of people chose coke will be :-
[tex]\dfrac{3}{5}\times7500=3\times1500=4500[/tex]
Now, the number of people chose Pepsi = 7,500-4,500=3,000
Hence, there are 3,000 people who chose Pepsi.
The function f(x)=log[7]x is increasing. True or false
Answers
The given function increases as x increases, so the statement is true.
Is the function increasing?Here we have the function:
[tex]f(x) = log_7(x)[/tex]
To see if it is increasing, we can evaluate in two values, 10 and 15, this will serve to see if the function is increasing or not:
[tex]f(10) = log_7(10) = 1.18\\\\f(15) = log_7(15) = 1.39[/tex]
As you can see, when x increases also does f(x), so the function is increasing.
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What is the estimate of 462,809+256,738
Answers
the estimate would be...
500,000 + 300,000
your answer would be: 800,000.
I hoped I helped and if you need more you could always ask me :)
-Dawn
1) Which number rounds up when rounded to the nearest tenth?
55. 24
170.93
0.12
8.15
___________
2)
Estimate the value of 2968 + 9912 by rounding each number to the thousands.
14,000
13,000
12,000
7000
___________
3)
Which statement below shows the best use of friendly numbers to estimate the value of 27 ·times 4
25 times 4 = 100
30 times 5 = 150
27 times 4 = 108
20 times 4 = 80
_____________
4)
Marcus has 78 baseball cards and 45 basketball cards. Estimate the total number of cards Marcus has.
30
33
123
130
___________
5)
Determine which answer is reasonable for 4. 8 times 9.2.
14
45.36
432
870.4
Answers
2)13,000
3)25 x 4 =100
4) 130
5)45.36
Answer:
1)8.15
2)13,000
3)25 x 4 =100
4) 130
5)45.3
Step-by-step explanation:
Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
(A ) - {}
(B) - {a,e}
(C ) - {a, b, e, g, i, l, o, r, u}
Answers
[tex]A\cup B=\{x|x\in A \lor x\in B\}[/tex]
Thus:
[tex]A\cup B=\{a,e,i,o,u\}\cup\{a,l,g,e,b,r\}[/tex]
[tex]A\cup B[/tex]={a,b,e,g,i,l,o,r,u}
A ∪ B = {a, b, e, g, i, l, o, r, u}
answer
(C ) - {a, b, e, g, i, l, o, r, u}
The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the rectangular prism is square units.
Answers
The volume of the rectangular prism is
[tex] b^{3}+8 b^{2} +19b+12 [/tex],
the height is h=(b+3)
1. The volume of a rectangular prism is (base area)*height
also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be [tex](mb^{2}+nb+k)[/tex]
2
[tex]b^{3}+8 b^{2} +19b+12=(mb^{2}+nb+k)*(b+3)[/tex]
notice that [tex]b^{3}[/tex] is the product of the largest 2 terms: [tex]mb^{2}[/tex] and b, so m must be 1
also, notice that 12 is the product of the constants, k and 3
so k*3=12, this means k=4
3
we write the above equality again:
[tex] b^{3}+8 b^{2} +19b+12=(b^{2}+nb+4)*(b+3)[/tex]
[tex](b^{2}+nb+4)(b+3)= b^{3}+3 b^{2} +nb^{2}+3nb+4b+12[/tex]
=[tex]= b^{3}+(n+3)b^{2}+(3n+4)b+12[/tex]
4
now compare the coefficient with the left side:
[tex]8 b^{2}=(n+3)b^{2}[/tex]
8=n+3
n=5
substituting n=5:
the base area is [tex]b^{2}+5b+4 [/tex]
Answer: [tex]b^{2}+5b+4 [/tex]
Answer:
b^2 + 5b +4
Step-by-step explanation:
a commercial jet airplane climbs at takeoff with slope m=4/9. How far in the horizontal direction will the airplane fly to reach am altitude of 20,000 ft above the takeoff point?
Answers
solve for "h".
The horizontal direction in will the airplane flies to reach an altitude of 20,000 ft above the takeoff point will be 45,000 feet.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A commercial jet airplane climbs at takeoff with slope m = 4/9.
Then the equation of the line will be given as,
y = (4/9)x
The y-intercept is zero.
The horizontal direction will the airplane fly to reach an altitude of 20,000 ft above the takeoff point will be
20,000 = (4/9)x
180,000 = 4x
x = 180,000 / 4
x = 45,000 feet
The horizontal direction in will the airplane flies to reach an altitude of 20,000 ft above the takeoff point will be 45,000 feet.
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Find AB if BC = 4 , BD = 5, and AD =4
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The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.
Answers
The first term of the given arithmetic sequence is 7. This can be determined by finding the common difference and moving backwards from the third term using this value.
Explanation:The subject of this question is Arithmetic Sequence which is a topic in mathematics. An arithmetic sequence is defined by a common difference (d) between consecutive terms.
To solve this problem, we have to find the common difference first. The difference between the 8th term (56) and the 3rd term (21) is 35. But since there are 5 steps from the 3rd term to the 8th term, each step (or the common difference) must be 35 ÷ 5 = 7.
Now that we have the common difference (7), we can reverse it from the 3rd term (21) back to the 1st term which gives us: 21 - 2(7) = 7. So, the first term is 7.
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A square is inscribed in a circle. A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
Answers
d also is the hypotenuse of the square
Through the pythagorean theorem, we know that
x^2 + x^2 = d^2
2x^2 = d^2
Because d = 2r, this means
2x^2 = d^2
2x^2 = (2r)^2
2x^2 = 4r^2
x^2 = 2r^2
The area of the square is x^2, which is the same as 2r^2 as shown above
The area of the circle is A = pi*r^2
Divide the area of the square over the area of the circle to get
(x^2)/(pi*r^2) = (2r^2)/(pi*r^2) = 2/pi
The exact answer, in terms of pi, is the fraction 2/pi
If you want an approximate answer, then use a calculator to get roughly 0.6366 which is about 63.66%
The probability of the point will be in the shaded region is 0.64 or 64%.
A square is inscribed in circle. Probability of point to be pick from the square to be find out.
Venn diagram are the Figures of probabilities to understand better.
Here, diameter of circle = d and radius r =d/2, edge of the square = a
By Pythagorean theorem,
a²+a²=d²
2a²= (2r)²
a²=2r²
Area of the square =2r²
Area of the circle = πr²
Now probability = Area of the square/Area of the circle
= 2r²/πr²
= 2/π
= 0.64
Thus, The probability of the point will be in the shaded region is 0.64 or 64%.
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Grape juice comes in a 64 oz bottle. Apple juice comes in a 80 ounce bottle. Both juices will be poured into cups of equal size so that no juice remains in either bottle. How many ounces is the largest possible cup that can be used for both juices?
Answers
Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by the xy-plane.
Answers
Converting to cylindrical coordinates, the integral is equivalent to
[tex]\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
[tex]=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta[/tex]
[tex]=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)[/tex]
[tex]=\dfrac{2\times7^3}3=\dfrac{686}3[/tex]
We have that
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
Attached below is a picture of the wedge-shaped region contained in the cylinder
Bearing in mind this shape, we have that the coordinates identifying the cylinder are as follows
Co-ordinates
[tex]0 \leq r \leq 7,\frac{\pi}{2} \leq 0 \leq \frac{\pi}{2},0 \leq z \leq x[/tex]
Where
[tex]0 \leq z \leq x =rcos \phi[/tex]
Generally the equation for the volume of the wedge-shaped region W is mathematically given as
[tex]\int \int \int_W 1dv=\int^{7}_{0} \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \int^{rcos \phi}_{0}[/tex]
[tex]\int \int \int_W 1dv=\int^{7}_{0} r (\int^{\frac{\pi}{2}}_{-\frac{\pi}{2}}rcos\phi dv))dr[/tex]
[tex]\int \int \int_W 1dv=(\frac{(7)^3}{3}+\frac{(0)^3}{3})(sin {\pi/2}+sin{-\pi/2})[/tex]
[tex]\int \int \int_W 1dv=228.67[/tex]
Therefore
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
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