Answer:
43/2
Step-by-step explanation:
Evaluate 12 - (3 y)/2 + y (2 y - 4/y) where y = 3:
12 - 3 y/2 + y (2 y - 4/y) = 12 - 3×3/2 + 3 (2×3 - 4/3)
Hint: | Express -3×3/2 as a single fraction.
-3×3/2 = (-3×3)/2:
12 + (-3×3)/2 + 3 (2×3 - 4/3)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
12 - (3×3)/2 + 3 (6 - 4/3)
Hint: | Multiply -3 and 3 together.
-3×3 = -9:
12 + (-9)/2 + 3 (6 - 4/3)
Hint: | Put the fractions in 6 - 4/3 over a common denominator.
Put 6 - 4/3 over the common denominator 3. 6 - 4/3 = (3×6)/3 - 4/3:
12 - 9/2 + 3 (3×6)/3 - 4/3
Hint: | Multiply 3 and 6 together.
3×6 = 18:
12 - 9/2 + 3 (18/3 - 4/3)
Hint: | Subtract the fractions over a common denominator to a single fraction.
18/3 - 4/3 = (18 - 4)/3:
12 - 9/2 + 3 (18 - 4)/3
Hint: | Subtract 4 from 18.
| 1 | 8
- | | 4
| 1 | 4:
12 - 9/2 + 3×14/3
Hint: | Express 3×14/3 as a single fraction.
3×14/3 = (3×14)/3:
12 - 9/2 + (3×14)/3
Hint: | Cancel common terms in the numerator and denominator of (3×14)/3.
(3×14)/3 = 3/3×14 = 14:
12 - 9/2 + 14
Hint: | Put the fractions in 12 - 9/2 + 14 over a common denominator.
Put 12 - 9/2 + 14 over the common denominator 2. 12 - 9/2 + 14 = (2×12)/2 - 9/2 + (2×14)/2:
(2×12)/2 - 9/2 + (2×14)/2
Hint: | Multiply 2 and 12 together.
2×12 = 24:
24/2 - 9/2 + (2×14)/2
Hint: | Multiply 2 and 14 together.
2×14 = 28:
24/2 - 9/2 + 28/2
Hint: | Add the fractions over a common denominator to a single fraction.
24/2 - 9/2 + 28/2 = (24 - 9 + 28)/2:
(24 - 9 + 28)/2
Hint: | Evaluate 24 + 28 using long addition.
| 1 |
| 2 | 8
+ | 2 | 4
| 5 | 2:
(52 - 9)/2
Hint: | Subtract 9 from 52.
| 4 | 12
| 5 | 2
- | | 9
| 4 | 3:
Answer: 43/2
The graph shows the balance of an account that is earning interest over time. In which year was the account balance about $150?
Answer:
Year 7
Step-by-step explanation:
Hopefully this is helpful.
Answer:
ik im late and the other person was right but theres proof for the newcomers :)
Step-by-step explanation:
A line has a y-intercept of 4 and a slope of 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=7x+4
Step-by-step explanation:
Simplify (1/2 pt each)
-2^3=
8^2=
9^-1=
(-4)^-2=
HELPP PLSSS
Answer:
-2^3= -8
8^2= 64
9^-1= 1/9
(-4)^-2= 1/16
Step-by-step explanation:
Wish this can help you.
The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Simplify each expression, then we have
-2³ = - 8
8² = 64
9⁻¹ = 1/9
(-4)⁻² = 1 / (-4)² = - 1/16
The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
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
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
Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+______)
-9
-3
3
9
PLEASE HELP:)
if Billy has three and four fifths of cake and Sam eats 2/3 of it how much cake does Billy have left
Answer:
3 and one third
Step-by-step explanation:
(3 1/3)
There are 5 times asmny yellow labs as terriers in the dog park. If there are a toal of 24 dogs,how many dogs are terriers? Complete the equation and solve.
24=
Answer:
4
Step-by-step explanation:
If there are 5 times as many the. terriers would make the 6th part.
So, 24÷6= 4
There are 4 terriers and 20 labs
Can someone help me with this math problem 34.2 divided by 7.6
Kelly buys four cardigans of the same price from a apparel store how much will she be billed if each Cardigin cost $79
Answer:
$316
Step-by-step explanation:
Since each cardigan costs $79 and there are 4 cardigans you would need to multyply 79×4. Which is $316. Kelly would be billed $316 for all four cardigans.
what is the area of a rectangles with the side lengths 5 inches and 4/3 inches?
Answer: 20/3 square inches
Step-by-step explanation:
Area = length*width
length = 5 in.
width = 4/3 in.
A = 5 * (4/3) = 20/3 in^2
Write an equation for a line parallel to y = 5x + 1 and passing through the point (3,11)
Answer:
Here's the parallel line: y = 5x - 4
match the monomer to the correct macromolecule
What is the slope intercept form for this?
Slope= -1 Y intercept= 8
Answer:
y= -x+8
Step-by-step explanation:
y=m+b Replaced M with -1 which will be -x.
y= -x+b Then replace the b with 8.
y= -x+8
You do -x because its the same as -1.
Answer:
y = -x + 8
Step-by-step explanation:
Hi there!
We are given that the slope of a line is -1 and the y intercept of that same line is 8
We want to find the equation in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given the values of the slope and the y intercept, we can simply substitute these values into the formula to find the equation.
First, substitute -1 as m in the equation:
y=-x+b (when 1 is the coefficient, you don't need to write '1' in front of a variable; when -1 is the coefficient, putting only a - sign will suffice)
Now substitute 8 as b in the equation
y = -x + 8
Hope this helps!
See more on this topic here: https://brainly.com/question/27187813
9x - 4= 2x + 3
-—-——-—-
Answer:
x = 1
Step-by-step explanation:
9x−4=2x+3 Move all terms containing x to the left side of the equation.
7x−4=3 Move all terms not containing x to the right side of the equation.
7x=7 Divide each term by 7 and simplify. x = 1
If 120 customers have bought tickets today, how many free tickets has the manager given away
Which relation is not a function?
Please help it is a quiz and I really need help! 5:06pm est answer as fast as you can!
Answer:
b
Step-by-step explanation:
A stadium has 55,000 seats . Seats sell for $28 in Section A
please help me i give brainliest
Answer:
Step-by-step explanation:
1. 120+21=141
2. 21-3=18
3. 7x-21
4. 20+x
5. 45+4x
6. 40+5c
7. 20+22r+26s
It will be nice if you give me brainliest
Good luck!
Tim's holds a fishing line at the surface of a lake, and it sinks 10 feet below the surface of the water. Tim then pulls the lure up 4 feet.which of the following statements about this situation are true?select all that apply
Answer:
Where are the answers to choose from?
PLEASE HELP!!! I DON’T KNOW THISSS, DUE RLLY SOON
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answer:
yes, Jenny has enough flour for both recipes
Step-by-step explanation:
First, find what Jody and Jenny need for both their recipes. For this, we need a common denominator, 8
1 5/8=13/8
3/4=6/8
13/8+6/8=19/8
Jody has 3 1/2 cups of flour, which is 7/2 cups or 28/8.
Now we need to make sure that 28/8 is greater than 19/8
28>9.... so she has enough flour!
Find the exact value of s in the given interval that has the given circular function value.
[pi/2, pi] ; sin s = square root 2 / 2
Answer:
[tex]\displaystyle s=\frac{3\pi}{4}[/tex]
Step-by-step explanation:
Trigonometric Values
We need to find the angle s in the interval [π/2,π] where:
[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]
There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.
The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:
[tex]\displaystyle s=\frac{\pi }{4}[/tex]
The other angle is its supplementary angle:
[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]
Only this last angle lies on the required interval, thus:
[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]
Haper is saving money to buy a new camping tent. Each week he double the amount he saved the previous week. If he saved 1$ the first week how much will he save in 7 weeks
Answer: $49
Step-by-step explanation: if there are 7 days in a week and he is saving for 7 weeks, its 7 x 7= 49
Answer:
64$ if he doinles
Step-by-step explanation:
1,2,4,8,16,32,64
A group of students are given three problems to solve
(Problem A, B and C.)
13 students solve problem A, 17 solve problem B
and 7 solve problem C.
9 solve problems A and B.
6 solve problems B and C.
5 solve problems A and C.
4 solve all three problems.
2 solve none of the three problems.
How many students are there altogether.
Answer:
63
Step-by-step explanation:
Answer:
Maybe 55
Step-by-step explanation:
--0.5x – 3 = 4 anybody know the awnser what does x =
Answer:
- 14
Step-by-step explanation:
Step 1:
- 0.5x - 3 = 4 Equation
Step 2:
- 0.5x = 7 Add 3 on both sides
Step 3:
x = 7 ÷ - 0.5 Divide
Answer:
x = - 14
Hope This Helps :)
if a coin is flipped 4 times what is the probability of it landing on heads 3 times and tails 1
Answer:
(`1/4)^4
Step-by-step explanation:
Since the probability of landing on a head is theoretically the same as that of landing on tails, and since the four flips are entirely independent of one another, the desired probability is
(1/2)^4 or 1/16
49.67 to the nearest ten
answer:
50
explanation:
Country A is ten to the third power times greater than Country B. Country A has a population of 230,000,000. What is the population Of Country B. Help Pls
What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =
Answer:
.001 or 1 thousandth
Step-by-step explanation:
.01/10=.001
Which rotation will carry a regular pentagon onto itself?
A.
216o
B.
120o
C.
50o
D.
60O
Answer:
b
Step-by-step explanation:
IM GIVING AWAY 20 POINTS!!!
In the first paragraph, why is the phrase "little mountain escape" in quotation
marks?
O to stress the fact that the Biltmore was to provide a vacation spot for friends
to indicate that the Biltmore was built in the midst of the mountains
to highlight the goal the Vanderbilt's had in building the Biltmore
to provide a contrast to the actual enormity of the Biltmore
Answer:
D. To provide a contrast to the actual enormity of the Biltmore
Step-by-step explanation:
Usually, when something is in "quotes", it's used to indicate sarcasm, emphasis, or a direct quote. This indicated emphasis.