Answer:
y^7
Step-by-step explanation:
y^3 . y^5 . y^-2 . y
= y^3 . y^5 . y^-2 . y^1
= y^( 3 + 5 - 2 + 1 )
= y^( 3 + 5 + 1 - 2 )
= y^( 9 - 2 )
= y^7
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
Answer:
We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.
Its volume is equal to the area of its base times its height.
Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.
Let's test each of these answers to see which gives us the correct volume.
--------------------------------------------------------------------------------------------------
a base area of 4y square units and height of 4y² + 4y + 12 units
We find the volume by multiplying the base area by the height...
4y(4y² + 4y + 12)
Distribute the 4y to each term inside the parentheses.
16y³ + 16y² + 48y
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 8y² square units and height of y² + 2y + 4 units
We find the volume by multiplying the base area by the height...
8y²(y² + 2y + 4)
Distribute the 8y² to each term inside the parentheses.
8y⁴ + 16y³ + 32y²
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 12y square units and height of 4y² + 4y + 36 units
We find the volume by multiplying the base area by the height...
12y(4y² + 4y + 36)
Distribute the 12y to each term inside the parentheses.
48y³ + 48y² + 432y
This is not the right volume, so these can not be dimensions of our prism.
--------------------------------------------------------------------------------------------------
a base area of 16y² square units and height of y² + y + 3 units
We find the volume by multiplying the base area by the height...
16y²(y² + y + 3)
Distribute the 16y² to each term inside the parentheses.
16y⁴ + 16y³ + 48y²
The volume fits, so these could be the base area and height of our prism.
--------------------------------------------------------------------------------------------------
D. a base area of 16y² square units and height of y² + y + 3 units
--------------------------------------------------------------------------------------------------
Step-by-step explanation:
URGENT - PLEASE HELP 25 POINTS AND BRAINIEST
A right triangle has legs that measure 5 and x - 1
Its hypotenuse measures x.
Solve for x
y is inversely proportional to x^2
When x = 4, y = 3.
Find y when x= 5.
Answer:
1.92
Step-by-step explanation:
y = k/x^2
k = yx^2
k = 3 * 4^2
k =3*16=48
y = 48/x^2
y = 48/ 5^2
y = 48/25
y=1.92
It took Jeremy 60.6 minutes to complete the exam. What is the duration in minutes and seconds?
Answer:
1 min 36 sec
Step-by-step explanation:
You might approach the answer in this way:
60.6 minutes = 60 minutes + 0.6 minutes, remembering that 1 min = 60 sec
0.6 min 60 sec
Then we have 60 minutes + ------------- * -------------- = 1 min 36 sec
1 1 min
Answer:
1 minute, and 36 Seconds
Step-by-step explanation:
#CarryOnLearningSolve for x if:
y = 30
x = y
- + 20
3
A) 25
B) 40
C) 50
D) 30
Answer:
30?
Step-by-step explanation:
If y is 30 and x = y. Then wouldn't x be 30 HOWEVER I'm unsure what the other part of the equation is.
Simplify the expression. 9(5-3)+9v HELPPPPPPPppppppp timed
Step-by-step explanation:
Subtract the numbers
9
(
5
−
3
)
+
9
9({\color{#c92786}{5-3}})+9v
9(5−3)+9v
9
(
2
)
+
9
9({\color{#c92786}{2}})+9v
9(2)+9v
2
Multiply the numbers
9
⋅
2
+
9
{\color{#c92786}{9}} \cdot {\color{#c92786}{2}}+9v
9⋅2+9v
1
8
+
9
{\color{#c92786}{18}}+9v
18+9v
3
Rearrange terms
1
8
+
9
{\color{#c92786}{18+9v}}
18+9v
9
+
1
8
{\color{#c92786}{9v+18}}
9v+18
Solution
9
+
1
8
can someone please help will give brainleist
pythagorean modeling
Answer:
we have
C=(2,-1)
B=(-2,3)
since
BC is hypotenuse
length of BC=√[(-2-2)²+(3+1)²]=√32=4√2 units is your answer
Answer:
hi.............,,,,,........
A sphere has a volume of 1,436 in3. What is its radius?
Answer:
7
Step-by-step explanation:
So first you would have to know the formula for the volume of a sphere to solve for the radius. The formula is:
V=4 /3πr3
so now we plug in the variables
1,436=4/3πr3
divide by pi
457.09=4/3r3
divide by 4/3 (multiply by the reciprocal which is 3/4)
342.82=r3
Take the third root to get r by itself
r=6.998 or 7 if you will.
Please Please please
Answer:
is the name of your account from little mermaid? :DDD
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
now just refer to the above ( also copy and paste the above on your computer some where so you have it always)
sin( D )= 28 / 53
sin( E ) = 45 / 53
cos(D) = 45 / 53
cos(E) = 28 / 53
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of \dfrac{1}{15} 15 1 start fraction, 1, divided by, 15, end fraction every 6.76.76, point, 7 minutes, and can be modeled by a function, NNN, which depends on the amount of time, ttt (in minutes). Before the medicine was introduced, there were 90{,}00090,00090, comma, 000 bacteria in the Petri dish. Write a function that models the number of bacteria ttt minutes since the medicine was introduced.
Complete Question
After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.
Answer:
Nt = 90,000 × e^t/15
Step-by-step explanation:
The function that models the number of bacteria t minutes since the medicine was introduced is written as
Nt = No×e^λt
Where:
No = The initial number of the bacteria after time t
Nt = The current number of the bacteria after time t
λ = Decay constant or factor
t = Time in years
From the question,
No = 90,000 bacteria
Nt = The current number of the bacteria after time t
λ = 1/15
t = Time in years
Therefore, our function is written as:
Nt = 90,000×e^1/15 × t
Nt = 90,000 × e^t/15
Answer:
90,000*(1/15)^t/6.7
Step-by-step explanation:
Khan told me it's correct.
6 times the quotient of 3 and 5
Answer:
ten less the quotient of a number and 3 is 6. help needed with equation!Step-by-step explanation:
Answer: I’m not sure if you’re asking for me to solve this or how to set it up. But if you solve it you get 3.6. if you have to sit it up it would be 6 x 3/5
Step-by-step explanation:
Solve the following quadratic by
completing the square.
y = x2 – 8x + 5
Answer:
x = 4 ± √11
Step-by-step explanation:
hello :
x²-8x+5= x² -2(4 )(x)+5
x²-8x+5= x² -2(4 )(x)+5 = ( x² -2(4 )(x) +4²) -4²+5
= (x-4)²-11 .....( completing the square )
x²-8x+5= 0 means : (x-4)²-11 = 0
(x-4)²=11 but : 11 = (√11)² = ( - √11)²
x-4 =√11 or x-4 = -√11
x = 4 ± √11
Answer:
x = 4 ± [tex]\sqrt{11}[/tex]
Step-by-step explanation:
To solve the equation let y = 0 , that is
x² - 8x + 5 = 0 ( subtract 5 from both sides )
x² - 8x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 5 + 16
(x - 4)² = 11 ( take the square root of both sides )
x - 4 = ± [tex]\sqrt{11}[/tex] ( add 4 to both sides )
x = 4 ± [tex]\sqrt{11}[/tex]
please help
if your gonna scam just leave i really need help
Answer:
x = 23
Step-by-step explanation:
The measures of the angles in a triangle add up to equal 180
That being said we can create an equation to solve for x
180 = 2x + 3x + 1 + 3x - 5
Now we solve for x using basic algebra
step 1 combine like terms
2x + 3x + 3x = 8x
1 - 5 = -4
now we have 180 = 8x - 4
step 2 add 4 to each side
-4 + 4 cancels out
180 + 4 = 184
now we have 184 = 8x
step 3 divide each side by 8
8x/8=x
184/8=23
we're left with x = 23
hii please help asap ill give brainliest thanks
Answer:
The answer should be C) Job category
sorry if I’m wrong
HELP ME PLS!!! ANSWER QUICKLY!!!
cosβ=-√2/10. find the angle. plz help me
Answer:[tex]98.13\ \text{or}\ 261.87^{\circ}[/tex]
Step-by-step explanation:
Given
[tex]\cos \beta =-\dfrac{\sqrt{2}}{10}[/tex]
As the value of cosine is negative, therefore the angle must lie in II or III quadrant
[tex]\Rightarrow \beta =\cos^{-1}(-\dfrac{\sqrt{2}}{10})\\\Rightarrow \beta=\cos^{-1}(-0.14142)\\\Rightarrow \beta =98.13^{\circ}\ \text{or}\ 270^{\circ}-8.13\\\Rightarrow \beta=98.13^{\circ}\ \text{or}\ 261.87^{\circ}[/tex]
Which of the following could be true if y ≤ -75?
Hello!
Lets go through each choice, and determine if it is correct.
So, the symbol ≤, means less than or equal to. So our answer must be less than -75 or -75 on the dot.
A: y = 75
Okay, so we can tell this one is wrong off the bat. 75 is much more than -75. (Make sure you notice the symbol!) So it cannot be equal to said answer. A is wrong.
B: y =-74
Another trick question! When you are in the negatives, less is more! So -74 is actually greater than -75. This is also incorrect!
C: y > -75
This one is straight forward. Our equation up top strictly says less than or equal too, while C says greater than. Incorrect!
D: y = -75
The last answer! We see that the symbol in our equation up top says less than or equal too, and y = -75 is equal. This is the correct answer.
Our correct answer is D: y = -75
waffletowne
What is the volume of the triangular prism?
Answer:
Step-by-step explanation:
6x16
6x8 (don't divide)
6x8.5 (don't divide)
8.5x16 (don't divide)
(I THINK I HAVE NO IDEA)
I’m really confused on how to do this anyone good with geometry?
What are the factors of 2x^2 - 10x + 12 ?
1) (x + 2) and (x + 3)
2) (x-2) and (x - 3)
3) (x + 6) and (x - 1)
4) (x - 6) and (x + 1)
Hey, if you can help I would love it.
Subtract 3 from the product of 8 and 5
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer....
B. (5×8) - 3Hope it helps!
Brainliest pls....
Follow me! ;)
Answer:
B
Step-by-step explanation:
Subtracting 3 from the product of 8 and 5 means that the 8 and 5 need to be multiplied first.
Brackets, in the order of operations, come before other operators, other than square root, square, and the like. In general, multiplication and division would be done before subtraction, so the bracket goes over 5 x 8 and not 8 - 3.
Shannon is purchasing a government bond with a par value of $800 and a price quote of 101.524%. What is the price of the bond?
Answer: $812.192
Step-by-step explanation:
The price of the bond will be gotten by multiplying the par value by the price quote. This will be:
Price of bond = Par value × Price quote
Price of bond = $800 × 101.524%
Price of bond = $800 × 1.01524
Price of bond = $812.192
Therefore, the price of the bond is $812.192.
put it into greatest and least
Answer:
3, 1, 2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
1.) 10.5
2.) 3[tex]\pi[/tex] + 1
3.) [tex]\sqrt{105}[/tex]
Step-by-step explanation:
Simplify each first
3[tex]\pi[/tex] + 1 ≈ 10.42
[tex]\sqrt{105}[/tex] ≈ 10.25
10.5
Order
1.) 10.5
2.) 3[tex]\pi[/tex] + 1
3.) [tex]\sqrt{105}[/tex]
Please answer this question correctly
Answer: it is 6
Step-by-step explanation: because they are the same length.
Decide if each expression represents one third the sum of 5 and 4. choose yes or no for each expression.
Answer:
yes
no
yes
no
Step-by-step explanation:
pls mark brainliest
Write the equation of the line passing
through the point (2, -1) with a slope of -3.
Answer:
y = -3x + 5
Step-by-step explanation:
(2, -1); m = -3
y - y1 = m(x - x1)
y + 1 = -3(x - 2)
y + 1 = -3x + 6
y = -3x + 5
PLSSSSSSSS HELPPPPPPPP
The value of x can be 2 or 5
The value of y can be 3 or 12
List the possible values of
XY
Step-by-step explanation:
[tex]when \: x = 2 \: and \: y = 3 \\ xy = (2 \times 3) = 6 \\ when \: x = 2 \: and \: y = 12 \\ xy = (2 \times 12) = 24 \\ when \: x = 5 \: and \: y = 12 \\ xy = (5 \times 12) = 60 \\ when \: x = 5 \: and \: y = 3 \\ xy = (5 \times 3) = 15 \\ values \: of \: xy \: are \: 6, \: 24, \: 60, \: 15[/tex]
please heeeeeeeeeeeeeeeeeeelp
Answer:
its answer is option c .
hope it helps :)
Step-by-step explanation:
PLS HELP MOST CONFUSING TOPIC
The angles surrounding the point p are 90 degrees
Then using the angle given, find the missing angles.
JPH = 90
HJP = 49
90+49 = 139
180 - 139 = 41
Therefore JHP = 41
HLP = HJP = 49
HLP = 49
KLP = 72
KLP + HLP = 72 + 49 = 121
Therefore, HLK = 121
LP = JP = 16
JP = 16
HL = HJ = 13
HL = 13
Hope this helps! =)