If a = 12 in and b = 25 in, what is the area of the pencil? A. 372 in2 B. 169 in2 C. 322 in2 D. 444 in2
Answer:
1169 in^2 Approx
Step-by-step explanation:
Given data
We know that the shape of the pencil is cylindrical
Hence the dimension is
Diameter= 12in
Radius= 12/2= 6in
Height= 25in
The surface area of a cylinder is given as
T.S.A.=2πrh+2πr^2
Substitute
T.S.A.=2*3.142*6*25+2*3.142*6^2
T.S.A.=942.6+226.224
T.S.A=1168.824
Hence the area is 1169 in^2 Approx
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Henry deposits $7500 in an account earning 2.75% interest compounded monthly. What is the balance in his account after 4 years?
A.$27,579.67
B.$20,160
C.$10,420.49
D.$8371.03
Answer:
Answer is D
Step-by-step explanation:
Identify the vertex for the graph of y = -2x2 - 12x +1. (1 point)
O (-3, 19)
0 (-3,55)
(3, -53)
(3, -47)
Answer:
(-3, 19)
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!
Answer:
[tex]\text{D. The terms may be combined.}[/tex]
Step-by-step explanation:
Recall that [tex]\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}[/tex]. Using this, we can simplify and combine the two terms:
[tex]6\sqrt{32}-12\sqrt{72},\\=6\cdot \sqrt{4}\cdot \sqrt{8}-12\cdot \sqrt{9}\cdot \sqrt{8},\\=6\cdot 2\cdot \sqrt{8}-12\cdot 3\cdot \sqrt{8},\\=12\sqrt{8}-36\sqrt{8},\\=-24\sqrt{8}=-24\cdot\sqrt{4}\cdot\sqrt{2}=\boxed{-48\sqrt{2}}[/tex]. Therefore, the terms may be combined.
two times the sum of a number and 18 is at least -21
Answer:
2x + 18 ≥ 21
x ≥ 2/3
Step-by-step explanation:
Let sum be X
2 times the sum means 2x
the sum of a number and 18 means x + 18
at least -21 means ≥ 21
put them together, and you get, 2x + 18 ≥ 21
If solving for x,
2x + 18 ≥ 21
2x ≥ 3
x ≥ 2/3
An angle measures 56° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
62,118
Step-by-step explanation:
Let one angle = x
So, other angle = x +56
x +x +56 = 180 {Combine like terms}
2x + 5 6 = 180 {Subtract 56 form both sides}
2x = 180 - 56
2x = 124 {Divide both sides by 2}
x = 124/2
x = 62
Other angle = 62 + 56 = 118
5+5 also i like people
Answer:
5+5=10 :D
Step-by-step explanation:
Answer:
huh
Step-by-step explanation:
Perform the following multiplication
a) 9xy ( x²y – xy²)
b) 7 p?q? (9 pq - 9 p²q²)
Answer:
a: (9x^3y^2)-(9x^2y^3)
Step-by-step explanation:
Erik used the Factor Theorem to find the remainder of 2x3-4x2-28x+6 divided by x+3. If he calculated the remainder to be 0, what does that tell him?
Step-by-step explanation:
x + 3 = 0
x = - 3
f(x) = 2x³ - 4x² - 28x + 6
f(- 3) = 2(- 3)³ - 4(- 3)² - 28 x (- 3) + 6
= 2 x (- 27) - (4 x 9) + 84 + 6
= - 54 - 36 + 90
= - 90 + 90
= 0
Therefore,
x + 3 is factor of 2x³ - 4x² - 28x + 6
find the mean of the given data. 147 141 120 124 128
Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.
Answer:
7) [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
9) [tex]5log_4(7) - 5log_4(12)[/tex]
11) [tex]5log_5 \ (x) - log_5 \ (y)[/tex]
Step-by-step explanation:
[tex]log_3 (\frac{x}{y})^{4}[/tex]
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Use Logarithm of a Quotient which states
[tex]log_b \frac{M}{N} = log_b M-log_bN[/tex]
And also use Logarithm of a Power which states
[tex]log_b\ M^{n} = n\log_bM[/tex]
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So using these two properties,
7. [tex]4 \ log_3(x) - 4 \ log_3(y)[/tex]
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For #9, use the same logarithm propertied
[tex]log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)[/tex]
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#11 is also the same concept
[tex]log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)[/tex]
It is not - 5 log5(y) since only x is to the power of 5 not y
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Hope this is what you were looking for and helps you! Have a nice day/night :)
Find the missing side (to 2dp)
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
Answer:
17.74 to 2 dp.
Step-by-step explanation:
tan 29 = x/32
x = 32 tan 29
= 17.7379.
What is a No solution? What is a infinite solution?
Answer:
No solution would mean that there is no answer to the equation. ... Infinite solutions would mean that any value for the variable would make the equation true?
Tom drives 200 miles in 4 hours.
He drives the first 32 miles at an average speed of 64 mph
Work out his average speed for the rest of the journey, in mph.
Please help??
His average speed for the rest of the journey was of 48mph.
Monique bought 3 boxes of cereal at the grocery store. Each box of cereal costs c dollars. Which equation represents the total amount of money, t, Monique spent on cereal?
Answer:
3c = t
Step-by-step explanation:
3 cereal boxes is 3c and the total is t. so 3c = t
Answer:
3c = t
3 is the amount of boxes, c is the money, therefore, it is 3c=t, which means c times the number of boxes equals t
5x + 13 + (2y-7)i = -2 + i please please help
Help me please!!! Whats the length for w?
Answer:
(The second option) sin40° = w / 28
Step-by-step explanation:
sin40° = opposite / hypotenuse
sin40° = w / 28
A rectangle has sides measuring (2x + 5) units and (3x + 12) units.
Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (6 points)
Part B: What is the degree of your answer from part A? What is the classification of your answer obtained in Part A ( monomial, binomial, trinomial, polynomial)? (4 points)
Answer:
Step-by-step explanation:
Area = (2x+5)( 3x+12) square units
= 6x² + 39x + 60 square units
Trinomial
work out: 0.03 x 0.6
0.03 x 0.6
= (3 x 6) / 1000
= 18 / 1000
0.018
Find the value of f(-8).
9514 1404 393
Answer:
8
Step-by-step explanation:
F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.
f(-8) = 8
Solve for X and round to the nearest tenth
Answer:
3.4
Step-by-step explanation:
cosx = adj/hyp
cos61° = x/7
x= cos61° * 7
*degree mode
3.39
A refrigerator has a marked price of $5000. Mr. Jones bought it on hire purchase for $7500. What is the extra cost Mr. Jones paid as a percentage of the cash price? *
A) 66.6%
B) 33.3%
C) 50%
D) 75%
help with this question please
Can anyone help me choose the correct answer?!
Answer:
f(x)=9x-7
when x=-1
f(-1)=9×-1-7=-9-7=-16
when x=0
f(0)=9×0-7=-7
other are similar to this
Plz I need help ASAP
Answer:
22
Step-by-step explanation:
5.50p=5.50x4=22
I hope this is the answer you're looking for! :)
I just edited it.
(50Pts) When using the vertical method to multiply polynomials, your like terms must be lined up in ____________.
descending order
ascending order
columns
rows
Answer:
C. Columns
Step-by-step explanation:
It's correct, I took the test and got it right.
Calculate the PERIODIC interest rate for a $10,000 loan
compounded semi-annually at a rate of 14%.
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 23.
Use the variable x for the unknown number.
Answer:
[tex] 2(x - 5)\leqslant \\23[/tex]
Step-by-step explanation:
or
[tex]2x - 10 \leqslant 23[/tex]
A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.
a.What is the rate of change and what does it mean in context to the situation?
b. What is the initial value and what does it mean and context to the situation?
i will give brainliest!!!!!
Step-by-step explanation:
a. The rate of change is $33.33 per month
200/6 = approximately $33.33 per month
This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.
b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.
PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.
For each step, choose the reason that best justifies it.
8+2v+9v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
8+11v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
11v+8
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
Answer:
C, D, A
Step-by-step explanation:
Distributive property
Combining like terms
Communitive property