What is the surface area of a cylinder with a radius of 5 ft and a height of 2 ft?
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Answer:
Its B.
Have a great day! OwO
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Nan and sato are designing a coffee table would you sing 4 inches tile Nan uses 30 tiles and sato uses half as many many total tiles did they use
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it is assumed that the tile is square
area of the square=b²
b is the length side of a square
b=4 in
area of the tile=4²----> 16 in²
Part 1) How many total tiles did they use?
Nao uses 30 tiles
and
Sato uses (1/2)*30=15
so
Nao and Sato uses----> 30+15----> 45 tiles
the answer Part 1) is
45 tiles
Part 2) If the area of the table is 36 inches by 26 inches, will they have enough tiles for the table?
find the area of the table
area of the table=36*26----> 936 in²
area of one tile=4*4----> 16 in²
if 1 tile------------------> 16 in²
x tiles-------------> 936 in²
x=936/16----> x=58.5 tiles
58.5 > 45
so
there are not enough tiles for the table
the answer part 2) is
there are not enough tiles for the table
Part 3) If not, how many more will they need?
tiles required=58.5-45------> 13.5-----> 14 tiles
the answer part 3) is
14 tiles
Nan and Sato together used 45 tiles for their coffee table design.
The student's question involves calculating the total number of tiles used by two individuals, Nan and Sato, who are designing a coffee table. Nan uses 30 tiles, and Sato uses half as many tiles as Nan does. To find out how many tiles Sato uses, we divide Nan's number of tiles by 2.
So, Sato uses 15 tiles because half of 30 is 15. To find out the total number of tiles used, we add Nan's tile count to Sato's tile count:
30 tiles (Nan) + 15 tiles (Sato) = 45 tiles in total.
Therefore, to determine the total number of tiles used, Nan's 30 tiles are added to Sato's 15 tiles (half of Nan's), resulting in a total of 45 tiles used for the coffee table design.
Please help!!! I very much need help, thank you!
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BC² = AB² + AC²
BC² = 4² +4² = 32
BC = √32 = 4√2
BC = 4*1.41 = 5.64
The length of segment BC is 5.64 m.
Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a function f such that f = ∇f. f(x, y) = (b) use part (a) to evaluate c f · dr along the given curve
c.
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So we need to have
[tex]\dfrac{\partial f}{\partial x}=3+4xy^2[/tex]
Integrating both sides with respect to [tex]x[/tex] gives
[tex]f(x,y)=3x+2x^2y^2+g(y)[/tex]
Differentiating with respect to [tex]y[/tex] gives
[tex]\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y[/tex][tex]\implies\dfrac{\mathrm dg}{\mathrm dy}=0[/tex][tex]\implies g(y)=C[/tex]
So we find that
[tex]f(x,y)=3x+2x^2y^2+C[/tex]
By the fundamental theorem of calculus, we then know the line integral depends only on the values of [tex]f(x,y)[/tex] at the endpoints of the path. Therefore
[tex]\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6[/tex]
Find the function f whose gradient is equal to the vector function f, then evaluate the line integral of f along the given hyperbolic arc from (1,1) to (3,1/3). This involves calculus and the concept of vector fields.
Explanation:This problem involves calculus, specifically the concept of vector fields and line integrals. First, we are asked to find a function f(x, y) such that its gradient is equal to a given vector function f(x, y). To find this scalar function, we need to perform the integral of each component of the vector function f in terms of x and y.
Then we need to evaluate the line integral of the vector function f along a curve c, which is given as an arc of the hyperbola y = 1/x. The definite integral from point (1,1) to point (3,1/3) should be calculated. This integral represents the work done by the field f along the curve c.
Keep in mind that when you perform a line integral, you are adding up the contributions of a field (in this case, the vector field f) along a path (here, the hyperbola). Therefore, the path must be parameterized, and the limits of integration should be the parameter values that correspond to the points (1, 1) and (3, 1/3).
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From a group of 3 men and 4 women, a delegation of 2 is selected. let x be the random variable that represents the number of women selected. write the probability distribution and find the expected number of women in the delegation?
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x values are 0, 1, 2, 3
The corresponding probabilities are:
P(x=0)= 3C2/7C2=3/21
P(X=1)=3C1*4C1/7C2=12/21
P(X=2)=3C2/7C2=3/21
P(X=3)=3C2/7C2=3/21
Hence the expected value will be:
E(x)=[0*3+1*12+2*3+3*3]/21
E(x)=27/21=1.29
Fill in the missing statements and reasons in the proof.
Given: PQRS is a parallelogram.
Prove: PR and QS bisect each other at T.
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Answer:
We have to complete the proof.
PQRS is a parallelogram 1. Given
2. [tex]\overline{PQ}\:is\:parallel\:to\:\overline{RS}[/tex] Definition of a parallelogram
m∠1 ≅ m∠3 4. Alternate interior angles are equal or
m∠2 ≅ m∠4 congruent.
[tex]\overline{PQ}\:\cong\:\overline{RS}[/tex] Opposite sides of a parallelogram are congruent
ΔPQT ≅ ΔRST 5. Triangle are congruent by Angle-Side-
Angle congruent rule
[tex]\overline{PT}\:\cong\:\overline{RT}[/tex] 6. Corresponding parts of Congruent triangles
[tex]\overline{QT}\:\cong\:\overline{ST}[/tex]
7. PR and QS bisect each other at T Definition of a bisector
To prove that PR and QS bisect each other at T in a parallelogram PQRS, we can show that PR and QS intersect at T and divide each other into equal segments.
To prove that PR and QS bisect each other at T, we can use the fact that PQRS is a parallelogram.
We can start by showing that PR and QS intersect at a point, say T. Since PQRS is a parallelogram, its opposite sides are congruent. Therefore, PR is congruent to QS.
Next, we can show that PR and QS divide each other into equal segments. We can do this by proving that triangle PTR is congruent to triangle STQ using the side-angle-side (SAS) congruence criteria.
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If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. Determine the original fraction. Which of the following equations represents "If the numerator of a fraction is increased by 3, the fraction becomes 3/4"?
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x / y
Where,
x = numerator
y = denominator:
If the numerator of a fraction is increased by 3, the fraction becomes 3/4:
(x + 3) / y = 3/4
If the denominator is decreased by 7, the fraction becomes 1:
x / (y-7) = 1
Solving the system of equations we have:
x = 9
y = 16
The original fraction is:
9/16
Answer:
the original fraction is:
9/16
"If the numerator of a fraction is increased by 3, the fraction becomes 3/4" is:
(x + 3) / y = 3/4
Hey can you please help me posted picture of question
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From the given options only option C contains such an expression in which x² is multiplied with a number between -1 and 1.
Thus,
G(x) = 3/4 x²
So, the correct answer is option C
Two graphs are shown below:
graph A shows scatter points 1, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5graph A shows scatter points 1, 4 and 2, 4 and 3, 4 and 4, 4 and 5, 4
Which scatter plot shows a positive correlation between x and y?
Only graph A
Only graph B
Both graph A and graph B
Neither graph A nor graph B
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The correct answer is graph A
What is the ratio (fraction) of minivans to all vehicles on the forecourt?
A)1/120
B)1/20
C)1/6
D)1/4
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20/120
1/6
I hope this helps
do u do keystone
? im just wondering i do
Ezra is training for a track race. He starts by sprinting 100 yards. He gradually increases his distance, adding 5 yards a day for 21 days.
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Is that what you meant for the problem
or do u want to know how many yards he sprinted total for the 21 days
If it is,
he sprinted a total of 3390 yards
On Apex the correct one is 200 yards.
hey can you please help me posted picture of question
Answers
The solution is listed below
[tex]F(x)=4x+7 \\ \\ y=4x+7 \\ \\ y-7=4x \\ \\ \frac{y-7}{4}=x \\ \\ x= \frac{y-7}{4} \\ \\ f-^{1}(y) = \frac{y-7}{4} \\ \\ f-^{1}(x) = \frac{x-7}{4} \\ \\ [/tex]
Which answer shows a correct order to solve this story problem? Maurine had to pay $2.52 tax on her purchases. She bought 3 books for $12.99 each, 2 pens for $0.69 each, and a magazine for $2.99. How much did Maureen spend? A. Step 1: Add the price of a book and a pen. Step 2: Multiply by 3 and then by 2. Step 3: Add $2.99 to that result. Step 4: Add the tax to the total of the purchases. B. Step 1: Calculate the total price of the 2 pens. Step 2: Add $2.99 to that total. Step 3: Calculate the total price of the 3 books. Step 4: Add the tax to the price of the 3 books C. Step 1: Calculate the total price of the 3 books. Step 2: Calculate the total price of the 2 pens. Step 3: Add $2.99 to the total of the cost of the books and pens. Step 4: Add the tax to the total of the purchases. D. Step 1: Add $2.99 to the amount of the tax. Step 2: Calculate the total price of the 2 pens. Step 3: Calculate the total price of the 3 books. Step 4: Add the prices of the pens to the price of the books.
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C. Step 1: find the price of the books; Step 2: find the price of the pens; Step 3: add the prices of the books, pens, and magazine; Step 4: add the tax.
_____
You can, of course, find and add the constituent prices in any order. Generally, you need to know that subtotal in order to figure the tax, which is then added to that subtotal. If you've ever done any shopping at a store where bills are added manually, or if you pay attention to any cash register receipt, you know this is the process.
Quadrilateral has angles 45 degrees, 150 degrees, 65 degrees, and N degrees
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other angles=260
all interior angles of a quadrilateral add up to 360
find 1/9 as many as 3 divided by 5
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Final answer:
To find 1/9 as many as 3/5, you multiply 3/5 by 1/9 to get 3/45, which simplifies to 1/15.
Explanation:
To solve the student's question, we need to find what is 1/9 as many as 3/5. This involves multiplying the fraction 3/5 by the fraction 1/9. Here is the step-by-step calculation:
Multiply the numerator of the first fraction (3) by the numerator of the second fraction (1) to get the numerator of the answer.Multiply the denominator of the first fraction (5) by the denominator of the second fraction (9) to get the denominator of the answer.Combine these to get the answer in fractional form.The calculation will look like this: (3/5) × (1/9) = 3/45 = 1/15.
Thus, 1/9 as many as 3/5 is 1/15.
Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability that the next 3 cards are also spades?
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Then third card being spades would be 11 / 50
Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49
Fifth card would be 9 / 48.
So the probability of next three cards being spades would be
[tex]\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}[/tex]
Hope this helps.
What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.
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ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second
a number cube is labeled 1 to 6 Find each probability write each answer as a fraction , a decimal, and percent P(2)
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P(2) = 1/6 = 0.166666 = 16.7%
P(3) = 1/6 = 0.166666 = 16.7%
P(4) = 1/6 = 0.166666 = 16.7%
P(5) = the same as the 4 above.
P(6) = the same thing as those numbered P(1) to P(4)
You might wonder how I got the %
any decimal expressed as a percent means multiply the decimal by 100.
0.1666666 * 100 = 16.66666 % which I rounded to 16.7%
find the midpoint of the line segment with the given endpoint (7,4) (9,-1)
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So plug into that.
You get (9 - 7)/2 , (- 1 - 4)/2
Which gives you 2/2 , - 5/2
This simplifies to the ordered pair (2, - 5/2)
Answer:
(8, 1.5)
Step-by-step explanation:
What is the distance d across the lake?
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Answer-
The distance d across the lake is 90ft.
Solution-
In the picture,
ΔABC ≈ ΔCDE
Because,
∠ACB = ∠DCE (∵ vertical opposite angles)∠B = ∠D = 90°∠ACB = ∠CED (∵ as other two angles are same and sum of those two angles when subtracted from 180° will result the same)So, from similarity properties
[tex]\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{DC}[/tex]
[tex]\Rightarrow \dfrac{120}{20}=\dfrac{d}{15}[/tex]
[tex]\Rightarrow d=\dfrac{120\times 15}{20}=90[/tex]
hey can you please help me posted picture of question
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C. G(x)=(x-2)^3
The explanation is shown below:
1. You have the the red graph has the equation F(x)=x^3
2. If you shifted two units to the right, you must add -2 to the function x^3, as below:
G(x)=(x-2)^3
3. If you want to verify this is correct, you need to give values to the variable x and plot each point.
4. You will see that the correct answer is the option mentioned above.
In which type of investment do you lend your money to a government agency or a corporation for a fixed period of time and earn interest?
a) bonds
b) stocks
c) mutual funds
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Answer: a. Bonds
Step-by-step explanation:
Bond is a kind of money investment issued by private corporations or government banks.
Buying a bond is like issuing a loan to the issuer. The issuer will pay back the face value of the issued loan along with interest money. It is issued for a fixed period of time.
Answer:
a) bonds
Step-by-step explanation:
was right
Find the length of JK and the measure of M
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You have two different situations, but both of them are solved the same way.
Step One
Solve for the 2 equal sides.
21x - 9 = 3x + 27 Add 9 to both sides.
21x = 3x + 27 + 9
21x = 3x + 36 Subtract 3x from both sides.
21x - 3x = 36
18x = 36 Divide by 18
x = 36/18
x = 2
That's not quite the answer
Step Two
Find JK
JK = 21x - 9
JK = 21*2 - 9
JK = 42 - 9
JK = 33 <<<<<<< Answer
Step Three
Solve for y
5y + 11 = 12y - 10 Subtract 5y from both sides.
11 = 12y - 5y - 10
11 = 7y - 10 Add 10 to both sides.
11 + 10 = 7y
21 = 7y Divide by 7
21/7 = y
3 = y
Step Four
Solve for M
M = 12y - 10
M = 12*3 - 10
M = 36 - 10
M = 26 <<<<< Answer
M = 74
Hope this Helped!
;D
Brainliest??
A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular seats cost $34 each. All of the theaters 75?preffered seats were sold out that evening. How many tickets were sold?
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P = Number of ticket for preferred seats costing $45 per seat
R = Number of regular seats costing $34 per seat.
Total revenue = P*45 + R*34 =8,917
45P + 34R = 8917
But, number of preferred seats is 75 or P=75 seats
Then,
45*75 +34R = 8917
3375 +34R = 8917
34R = 5542
R = 5542/34 = 163
Total number of seats = P+R = 75+163 = 238 seats. If each seat is sold for one ticket, then 238 tickets wee sold.
Question# 12, find the slope
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(0,1) and (-4, -2)
Slope = m = (-2 - 1)/(-4 -0 ) = -3/-4 = 3/4
So the slope of given line is 3/4
Thus the correct answer is option B
m = (y2-y1) / (x2-x1)
We choose the ordered pairs:
(x1, y1) = (0, 1)
(x2, y2) = (4, 4)
Substituting values we have:
m = (4-1) / (4-0)
m = (3) / (4)
m = 3/4
Answer:
The slope for this case is given by:
m = 3/4
option 2
Brad has 3 pairs of pants, 7 tee shirts, and 2 pairs of sneakers. How many different outfit combinations can he wear
Answers
Answer:
42
Step-by-step explanation:
A lunch in a fancy restaurant is three times as expensive as a lunch in a cafeeria. The lunch in the fancy restaurant costs 36. In five day workweek Mary eats at the fancy restaurant once and in the cafeteria the rest of the days. How much does she spend on lunches in that week
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3x = 36
where x is the cost of eating in cafeteria.
The value of x from the equation is 12.
In a five-day workweek, she eats at the fancy restaurant once and four times in cafeteria. To determine the total cost,
T = 4(12) + 36
T = 84
Thus, the answer to this item is 84.
f = fancy restaurant price
c = cafeteria price
f = 3c
f = 36
c = 36/3 = 12
36 + 12*4 = 84
she spends 84 on lunches for a fiveday workweek
David is making a mosaic using 63 glass tiles 105 ceramic tiles and 84 marble tiles he wants to put the same number of each type of tile and Rose what is the maximum number of times you can have in each row
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David can put 21 of each kind of tile in a row.
_____
These numbers are 3*21, 4*21, and 5*21, respectively.
On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours. a. How many kilowatt hours of electricity did the Smiths use during February? b. How many kilowatt hours did they use during March?
Answers
Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February
b. How many kilowatt hours did they use during March?
Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March
A line passes through the ordered pairs (4,1) and (2,8). What is the slope? Please help due today
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what is the value of x sin x + 11 degrees equals cos 2x + 22 degrees enter your answer in the Box
Answers
(x + 11) + (2x + 22) = 90
Simplifying,
3x + 33 = 90
Further simplification,
3x = 90 - 33 = 57
The value of x from the equation is 19.
Answer: x = 19
Answer:
it is 19
Step-by-step explanation:
I just took this test and got 100 :)