Answers
Related Questions
(y^3)^2 without exponents
Answers
Answer:
y^6
Step-by-step explanation:
Answer:
[tex]y^{6}[/tex]
Step-by-step explanation:
Step 1:
( y³ )² Equation
Step 2:
[tex]y^{3 * 2}[/tex] Multiply
Answer:
[tex]y^{6}[/tex]
Hope This Helps :)
Write the equation of a line through (5, -3) with a slope of
1/5 in standard form.
Answers
Answer:
[tex]\frac{1}{5} x-4[/tex]
Step-by-step explanation:
I graphed it on desmos by inserting the point (5,-3) and [tex]\frac{1}{5} x[/tex] for the slope then translated [tex]\frac{1}{5} x[/tex] down 4 so it would go through the point
Answer:
y = 1/5x - 4
Step-by-step explanation:
y = mx + b
simply plug in the slope,
y = 1/5x + b
now put in the cooridinates for b,
-3 = 1/5 ( 5) + b
now solve for b,
-3 - 1 = b
-4 = b
now put -4 into the equation,
y = 1/5x - 4
Find the volume common to two spheres, each with radius r, if the distance between their centers is r/2. [Hint: It may be helpful to look at the previous question and see how it relates to this one. ] intersectingspheres
Answers
Answer:
The volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]
Step-by-step explanation:
Let r be the radius of each sphere
We are given that distance between their centers is [tex]\frac{r}{2}[/tex]
Let [tex](\frac{-r}{4},0)[/tex] be the center of sphere 1 and [tex](\frac{r}{4},0)[/tex]be the center of sphere 2 .
Using the disk points
a=0 and b =[tex]\frac{3r}{4}[/tex]
[tex](x+(\frac{r}{4}))^2+y^2=r^2\\V=2 \int_{0}^{\frac{3r}{4}} \pi y^2 dx\\V=2 \int_{0}^{\frac{3r}{4}} \pi [r^2-(x+(\frac{r}{4}))^2]dx\\V=\frac{27 \pi r^3}{32}[/tex]
Hence the volume common to two spheres is [tex]V=\frac{27 \pi r^3}{32}[/tex]
In attached diagram, we can see 2 circumferences with radius r, and separated centers by r/2.
The solution is:
V = (11/12)×π×r³
Let´s call circumferences 1 and 2, by symmetry, rotating area A will produce a volume V₁ identical a V₂, Obtained by rotating area B ( both around x-axis), then the whole volume V will be:
V = 2× V₁
V₁ = ∫π×y²×dx (1)
Now
( x - r/2)² + y² = r² the equation of circumference 1
y² = r² - ( x - r/2)²
Plugging this value in equation (1)
V₁ = ∫π×[ r² - ( x - r/2)²]×dx with integrations limits 0 ≤ x ≤ r/2
V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx
V₁ = π× [ r²×x - x³/3 + (r/2)²×x - (1/2) ×r×x²] evaluate between 0 and r/2
V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) ×r×x²]
V₁ = π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ - (1/2) ×r×(r/2)²]
V₁ = π× [ (5/8)×r³ - r³/24 - r³/8]
V₁ = π× (11/24)×r³
Then
V = 2× V₁
V = 2×π×11/24)×r³
V = (11/12)×π×r³
Related Link : https://brainly.com/question/14301190
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All of the following statements describe the relation shown except _____.
The diagram represents a function.
The inputs are {-1, 0, 3, 4}.
The outputs are {-2, -1, 1}.
This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}.
Answers
Answer:
132
Step-by-step explanation:
Answer:
{-1, 0, 3, 4}.
Step-by-step explanation:
sorry if this is incorrect
Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d
Answers
The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.
We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have
p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R
==> R = -2 + b + c + d
p(2) = 2(2)³ + b(2)² - c(2) + d = R
==> R = 16 + 4b - 2c + d
p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R
==> R = 1/4 + b/4 - c/2 + d
We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so
p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0
==> 0 = -16 + 4b + 2c + d
Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :
(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R
-18 - 3b + 3c = 0
b - c = -6
(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R
-9/4 + 3b/4 + 3c/2 = 0
b + 2c = 3
(b - c) - (b + 2c) = -6 - 3
-3c = -9
c = 3
b - 3 = -6
b = -3
-16 + 4(-3) + 2(3) + d = 0
d = 22
8sin(8x)+9=3
Need solutions
Answers
Answer:
Simplifying
8sin(8x) + 9 = 3
Remove parenthesis around (8x)
8ins * 8x + 9 = 3
Reorder the terms for easier multiplication:
8 * 8ins * x + 9 = 3
Multiply 8 * 8
64ins * x + 9 = 3
Multiply ins * x
64insx + 9 = 3
Reorder the terms:
9 + 64insx = 3
Solving
9 + 64insx = 3
Solving for variable 'i'.
Move all terms containing i to the left, all other terms to the right.
Add '-9' to each side of the equation.
9 + -9 + 64insx = 3 + -9
Combine like terms: 9 + -9 = 0
0 + 64insx = 3 + -9
64insx = 3 + -9
Combine like terms: 3 + -9 = -6
64insx = -6
Divide each side by '64nsx'.
i = -0.09375n-1s-1x-1
Simplifying
i = -0.09375n-1s-1x-1
Step-by-step explanation:
If this helps please give brainliest:)
George is 2 in. taller than the quotient of Myron's height and 3. Let M represent Myron's height, in inches. Write an expression that represents George's height, in inches.
Answers
Answer:
G = M/3 + 2
Step-by-step explanaion
We can interpret the quotient of Myrons height and 3 as "M/3" and we add "+2" to account for the "2 in. taller" part of the problem. We can also represent George's height using "G"
The expression that represents George's height, in inches is G = M/3 + 2
What is algebra?
Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
George is 2 in. taller than the quotient of Myron's height and 3.
let M represent Myron's height, in inches.
and, the quotient of Myrons height and 3 can be written as
=M/3
Now, add 2 to Myron's height.
Then George's height will be
G = M/3 + 2
Learn more about algebra here:
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using logarithms table, evaluate
4.962-√4.779
Answers
Answer:
3.404
Step-by-step explanation:
Refer to Table 9.2. (Data are expressed in billions of dollars).
Full Employment Income (Output) Consumers Desire to Spend Investors Desire to Spend Total Private Spending Total Saving
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
If the full-employment level of income (YF) in Table 9.2 is $800 billion
A. There is a recessionary gap of $25 billion.
B. The economy is in equilibrium.
C. There is an inflationary gap of $250 billion.
D. There is a recessionary gap of $275 billion.
Answers
Answer:
A)There is a recessionary gap of $25 billion.
Step-by-step explanation:
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 $___ $___
600 375 250 $___ $___
700 450 250 $___ $___
800 525 250 $___ $___
Total Private spending = Consumers desire to spend + Investors desire to spend
Total savings = Income - Total private spending
Using these formulas :
Solution Table
Full Employment Consumers Investors Total Private Total Saving
Income (Output) Desire to Desire to Spending
Spend Spend
$500 $300 $250 550 -50
600 375 250 625 -25
700 450 250 700 0
800 525 250 775 25
If the full-employment level of income (YF) in Table 9.2 is $800 billion So, There is a recessionary gap of $25 billion. Since total saving is $25
So, Option A is true .
Which equation could be used to generate the following table?
x y
-2 7
-1 6
0 5
1 4
2 3
a
y = -x + 5
b
y = x + 5
c
y = 5x - 1
d
y = -x - 5
Answers
Answer:
ur welcome
Step-by-step explanation:
x is first so -2 and -1 and 0 and 1 and 2 all cancel each other out so no worries there then on to the other side you add it all and boom you done
A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.
A scale factor of 2 could be used to get the final rectangle.
What is the equation of the line in slope-intercept form? the line perpendicular to y = x + 2 through (-7, -8)
Answers
Answer:
[tex]y=-x-15[/tex]
Step-by-step explanation:
Point-slope formula: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1, \ y_1)[/tex] are the coordinates of a point on the line, and [tex]m[/tex] is the slope of the line.
You are given a point that the line you are trying to find passes through, and a slope. The slope is less obvious than the point, but you can find the slope using the given information.
The line perpendicular to y = x + 2 will have the opposite reciprocal slope of this line. The slope of y = x + 2 is 1, so the opposite reciprocal of 1 is:
[tex]m=-\frac{1}{1} =-1[/tex]Now that you have both a point and the slope of the line you are trying to find, you can substitute these values into the point-slope formula (Notice: the name of this formula contains both "point" and "slope").
Substitute [tex](-7, \ -8)[/tex] for [tex](x_1,\ y_1)[/tex] and [tex]m=-1[/tex] into the point-slope formula.
[tex]y-(-8)=-1(x-(-7))[/tex]Simplify this equation.
[tex]y+8=-1(x+7)[/tex]Distribute -1 inside the parentheses.
[tex]y+8=-x-7[/tex]Subtract 8 from both sides of the equation.
[tex]y=-x-15[/tex]This line is in slope-intercept form ([tex]y=mx+b[/tex]), so we are done.
Help me out 3 i need some help :(
Answers
Answer:
The first one
Step-by-step explanation:
Since only the first session is $10, it wouldn't be 10x.
The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.
So the answer is y = 10 + 5x
(sorry if i didnt explain well)
the heights of adult males are approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. an adult male is categorized as shirt if he is less than 64 inches tall and categorized as tall if he is in the top 2% of adult males in term of height. how tall does an adult make need to be to be assigned to the tall category.
Answers
Answer:
76.2
Step-by-step explanation:
Use a calculator or chart to find the z-score associated with the probability.
P(Z > z) = 0.02
P(Z < z) = 0.98
z = 2.054
Find the height.
z = (x − μ) / σ
2.054 = (x − 70) / 3
x = 76.2
If there are 9 rows of seats with 18 seats in each row there are also 6 rows of seats with 24 seats in each row how many seats are there in the auditorium
Answers
Answer:
306
Step-by-step explanation:
The number of rows times the number of seats in each row is equal to the stadium chair. Using this, 9 rows of seats with 18 seats in each row is 9(18) and 6 rows with 24 seats in each row is 6(24). Now we add 9(18) + 6(24), which is 162 + 144 which is 306 seats
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?
Answers
Answer:
Each comic book is $3.30
Step-by-step explanation:
$21 divided by 6= $3.50
Answer:
Each comic book is $3.30
Step-by-step explanation:
$21 divided by 6= $3.50
What is the ratio of 11 inches to 3 feet? (Change the feet to inches.) Group of answer choices
11:36
36:11
3:11
11:3
Answers
Answer:
The first option (11:36)
Step-by-step explanation:
When you convert the 3 feet to inches, you multiply by 12. There is 12 inches in each foot, so multiply 3 by 12 will result in 36.
We are comparing the 11 inches to the 3 feet (36 inches), so it would look like this:
11 : 36
(Can also be shown as 11 - 36)
1 Foot = 12 inches
3 feet x 12 = 36 inches.
Ratio = 11:36
2d + 7 = 9
Hellllllpppppp
Answers
Answer:
Doesn't 2+7 = 9 itself?
Step-by-step explanation:
first you subtract the seven then divide the 2 on both sides to get D isolated
HELP ASAP I don’t get it
Answers
Answer:
-11/5
Step-by-step explanation:
In order to solve it u should open the mixed fraction ,i.e,
11/7÷-15/21
=11/7×-21/15
Cutting,
ans=-11/5
Mark me the brainliest
Answer:
Fraction: -11/5
Decimal form: -2.2
Mixed number form: -2 1/5
Step-by-step explanation:
18/7 divided by 6/9 and how to get there
Answers
Answer:
27/7 or 3 6/7
Step-by-step explanation:
18/7 ÷ 6/9
~Copy dot flip
18/7 × 9/6
~Multiply both numerators and denominators
162/42
~Simplify
27/7 or 3 6/7
Best of Luck!
4/6 x 2/3 =
Help me please I’m stuck on this
Answers
Answer:
4/9 or 0.4
Step-by-step explanation:
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answers
Answer:
6
Step-by-step explanation:
18/3=6
Help please!!
Find the equation of a line perpendicular to 5x - 3y = - 2 that contains the point (-4,5). Write the equation in slope
intercept form
Answers
Answer:
Step-by-step explanation:
y=−3/5x+13/5
what is 1423 divided bye 789
Answers
Answer:
1.8
Step-by-step explanation:
Answer:
use calculator
Step-by-step explanation:
search calculator on google
Solve the simple equation.
5(2d+2) = 3 (8d-5)
Answers
Answer:
d = 25/14
Step-by-step explanation:
5(2d+2) = 3 (8d-5)
10d + 10 = 24d - 15 | +15
10d + 25 = 24d | - 10d
25 = 14 d | :14
d = 25/14
Which expression is equivalent to 32 ⋅ 3−5?
Answers
Answer:
91
Step-by-step explanation:
Using the PEMDAS method (parentheses exponenets multiplication division addition subtraction), we know that since 3-5 is not in parentheses, we have to multiply before we subtract. So first, we must multiply 32 x 3 to get a product of 96. Then we must subtract, 96 - 5 = 91. Therefore, your answer is 91.
Hope this helped! Good luck!
6) What is the mystery number?
The mystery number has ...
• 9 in the Ones place.
8 in the Millions place.
4 in the Hundred Thousands place.
3 in the Hundreds place.
3 in the Thousands place.
3 in the Tens place.
O in the Ten Thousands place.
Answers
is what I believe the mystery number would be
Answer:
8,403,339
Step-by-step explanation:
if the slope of ac 6 what is the slope of bc
Answers
Slope of BC=-1/6
Explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC
We know what BC is perpendicular to AC because they meet at a right angle.
To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.
Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.
And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.
I hope this helps! Please comment if you have any questions.
Can you help me with my homework question?
Answers
3 is the same as 1
Imma just leave this here imma do brainlyest
Answers
Answer: The can of Coke i would say because it cost least unless by best buy they mean higher price then the pepsi!
~ Zachary