Answer:
100.6cm2
Step-by-step explanation:
The mathematical expression wil become
[tex]2\pi(rh + {r}^{2} )[/tex]
The TSA of a cylinder is
[tex]2\pi \: rh + \pi {r}^{2} + \pi {r}^{2} [/tex]
When simplified, we have
[tex]2\pi \: rh + 2\pi {r}^{2} = 2\pi(rh + {r}^{2} )[/tex]
So indirectly, the expression is the same as total surface area of a cylinder.
So all you have to do is substitute the height and radius into any of the formulas .
[tex]2 \times \frac{22}{7} ( (2 \times 6) + {2}^{2} )[/tex]
[tex]2 \times \frac{22}{7} (12 + 4) \\ 2 \times \frac{22}{7} \times 16 \\ \frac{22 \times 2 \times 16}{7} \\ \frac{22 \times 32}{7} \\ \frac{704}{7} = 100.57 {cm}^{2} \\ = 100.6 {cm}^{2} [/tex]
slope=-2 passes thru point 5,-3, write the equation of the line
Step-by-step explanation:
hope this helps. the process is shown above
Open Response
How many times less is the
value of the 4 in 356,740 than
the 4 in 763,450? Explain.
Answer:
10 times less
Step-by-step explanation:
In the number 356, 740, the 4 is in the tenths place.
In 763,450, the 4 is in the hundredths place.
100/10 = 10
If a:b=b:3=3 then find the value of a.
Answer:
b:3=3
⇒b=1
a:b=3
⇒a:1=3
⇒a=1/3
Step-by-step explanation:
Guided Practice
Assume that 4.5% is an annual interest rate. Find the interest rate for an account that is compounded quarterly and monthly.
A.
1.125%; 0.375%
B.
18%; 54%
C.
0.9%; 0.45%
Answer:
A.
1.125%; 0.375%
Step-by-step explanation:
Quarterly interest rate is 4.5 / 4 = 1.125%.
Monthly rate is 4.5 / 12 = 0.375%.
Evaluate (3x + 5) - (2x + 7) when x = 5.
A. 30 - 34 = -4
B. 20 - 17 = 3
C. 20 - 10 + 7 = 17
D. 30 + 34 = 64
13 of 13
Answer:
The answer is B. 20 - 17 = 3
Step-by-step explanation:
( 3x + 5) - (2x + 7)...... x = 5
( 3(5) + 5) - ( 2(5) + 7)
( 15 + 5) - (10 + 17)
20 - 17 = 3
Thank you :)
Answer:
The answer is 20 - 17 = 3 [Choice B.]
Step-by-step explanation:
Put x = 5 into the formula (3x + 5) - (2x + 7)
[3(5)+5] - [2(5)+7]
= [15 + 5] - [10 + 7]
=20 - 17
= 3
10 points!! Pls help with 5 and 6
Answer:
I only know number 5 so here it is
the solution for the left is: 2x6=12
the solution for the right is: 5x3+4x1=15+4=19
and the answers are: 1.12 . 2.19
(2-5i)-(7-2i) , what is the answer?
Answer:
Step-by-step explanation:
When you remove the second set of brackets, the sign changes on the 7 and the 2i because of the minus.
2 - 5i - 7 + 2i
2 - 7 - 5i + 2i
-5 - 3i
Please help quickly it is super late rn
Step-by-step explanation:
-4^(-5)/ 2^(-3) =
2³/(-4)^5 =
8/(-1024) =
- 1/128 (d)
PLS HELP WILL MARK BRAINLIEST. IF GOTTEN RIGHT SHOW WORK
9514 1404 393
Answer:
12 feet
Step-by-step explanation:
You seem to have a few of these, so let's find a generic solution.
The vertex form of a quadratic equation is ...
f(x) = a(x -h)² +k
When we expand that, we get ...
f(x) = a(x² -2hx +h²) +k = ax² -2ahx +ah² +k
Comparing this to your standard form quadratic ...
h(t) = -16t² +vx +s
we can see that ...
a = -16-2ah = vah² +k = sSolving for h and k, we get ...
(-2)(-16)h = v
h = v/32
and
k = s -ah² = s -(-16)(v/32)²
k = s +v²/64
So, the generic solution for these problems is ...
h = time to maximum height = v/32
k = maximum height = s +v²/64
__
This problem asks for the maximum height, which will be ...
s +v²/64 = 3 +24²/64 = 3 +9 = 12 . . . . feet
Plz help!! Select the correct answer from each drop-down menu.
The given equation has been solved in the table.
Step
Statement
1
3r – 10 = -16
2.
3.1 – 10 + 10 = -16 + 10
3
3r = -6
4
3.1
3
5
-2
Use the table to complete each statement.
In step 2, the
In step 4, the division
property of equality was applied.
property of equality was applied.
Answer:
Addition Property of Equality
Division Property of Equality
Step-by-step explanation:
3x - 10 = -16
~Add 10 to both sides
3x = -6
~Divide 3 to both sides
x = -2
As you can see from the table given, we are using the addition property of equality in step 2 and division property of equality in step 4.
Best of Luck!
write 1,200 in scientific notation
Answer:
1.2 x 10^3 Hope it helps :)
Step-by-step explanation:
1200= 1.2 x 10^3
71. Evaluate a + a3 - 4 * 4 when a = 2
Answer:
= -8
Step-by-step explanation:
a = 2
2 + (2×3)- 16
= 2 + 6 - 16
= -8
Answer:
-6
Step-by-step explanation:
substitute the value of the variable into the equation and simplify
Find the slope of the line.
x + 7 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope of the line is (Simplify your answer. Type an integer or a fraction.)
B. The slope of the line is undefined.
(Answer quickly)
Step-by-step explanation:
it is a vertical line it never changes
What is the equation of the line that is perpendicular to
the given line and has an x-intercept of 6?
4
O y=-3x+8
O x
y=-3x+6
O y= x - 8
Oy= x-6
Answer:
y= x-6
Step-by-step explanation:
The equation of the line that is perpendicular to the given line and has an x-intercept of 6 is y = [tex]\frac{4}{3}x-8[/tex]
Perpendicular linesPerpendicular lines follows the mathematical principle.
m₁m₂ = -1where
m₁ and m₂ are slopes of the lines.
A line that has a x - intercept of 6 and perpendicular to the given line can be represented as follows.
y = mx + b
where
m = slope
b = y-intercept
(-4, 4)(4, -2)
m = -2 - 4 / 4 + 4 = -6 / 8 = -3 / 4
m₁m₂ = -1
- 3 / 4 m₂ = -1
m₂ = [tex]\frac{4}{3}[/tex]
Therefore,
x-intercept of 6
0 = 6([tex]\frac{4}{3}[/tex]) + b
b = - 8
Therefore, the equation is as follows:
y = [tex]\frac{4}{3}x-8[/tex]
learn more on x-intercept here: https://brainly.com/question/16952211
simplify the following equation:
10 +6/2+3
Answer:
16 ...................
HELP ASAP!!!! I’m very confused I will mark Brainlist.
Answer:
Step-by-step explanation:
vertical stretch by 2
so 2f(x)
reflection in x-axis -2f(x)
transition 3 units down -2f(x)-3
f(x)=x²
g(x)=-2x²-3
What is the probability that a resident reports high satisfaction, given that the resident is a renter?
O 13.7%
O 20.0%
O 36.6%
O 68.2%
Answer:
The probability that a resident reports high satisfaction while the resident is a renter is Option(a) [tex]13.7\%[/tex]
Step-by-step explanation:
Given:
Levels of satisfaction
High Medium Low Total
Owners [tex]26[/tex] [tex]34[/tex] [tex]18[/tex] [tex]78[/tex]
Renters [tex]15[/tex] [tex]12[/tex] [tex]5[/tex] [tex]22[/tex]
Total [tex]41[/tex] [tex]46[/tex] [tex]23[/tex] [tex]110[/tex]
The Resident is a renter.
Step 1:
To find the probability that a resident reports high satisfaction.
P(Renter- higher satisfaction)= Higher Satisfaction by render ÷ Total level of satisfaction
[tex]=\frac{15}{110}[/tex]
[tex]=0.137[/tex]
[tex]13.7\%[/tex] is the probability that a resident reports high satisfaction.
Therefore, Option (a) is a correct answer.
Learn more about Probability, refer:
https://brainly.com/question/13604758https://brainly.com/question/10734660Answer:
A) 13.7%
Step-by-step explanation:
edge 2023
When graphed in the (x,y) coordinate plane, at what point do the lines x - y = 12
and y= 2 intersect?
Answer:
(14, 2).
Step-by-step explanation:
x - y = 12
y = 2
Solving this system:
Plug y = 2 into the first equation:
x - 2 = 12
x = 14.
Therefore the point of intersection is at (14, 2).
Caden's mother gave him a $20 bill to get groceries. If he spent $14.39, how much change should he ge! back?
Answer:
$5.61
Step-by-step explanation:
Subtract the amount spent by the amount given to the cashier.
$20 - $14.39 = $5.61
Answer:
If he spent 14.39, and he only had a 20 dollar bill, Caden would have to give the 20 dollar bill meaning we suubtract 14.39 from 20.
20-14.39 = 5.61
Caden should get $5.61 back.
Step-by-step explanation:
The difference of F and 1/3 is 1/12
Answer:
Step-by-step explanation:
[tex]F -\frac{1}{3} = \frac{1}{12}\\F= \frac{1}{12} +\frac{1}{3}\\F= \frac{1}{12} - \frac{4}{12}\\F= \frac{1-4}{12}\\F= \frac{-3}{12}=-\frac{1}{4}[/tex]
HELP ME PLEASE!!!!!!
9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
6×3/8
8×4/5
8×3/4
5×4/5
2×2/3
multiplication of. proper fraction by proper fraction
Step-by-step explanation:
2.25
6.4
4
1.333
Hope is will help you
g(x) = (x - 9)/(sqrt(x) - 3) a) Make two tables, one showing the values of 8 for =8.9,8.99 and 8.999 and one showing values of 8 for X =9.1,9.01 , and 9.001. (b) Make a conjecture about the value of lim x 9 x-9 sqrt x -3
how should 13,079 be written in in expanded form
Answer:
10,000 + 3,000 + 70 + 9
Step-by-step explanation:
It will be 10,000 + 3,000 + 70 + 9
That is how expanded form works.
Hope it helps :)
If you have any questions ask me.
Answer:
10000. 3000. 70. 9
Step-by-step explanation:
help plz can you explain some one plz
Answer:
Sheila drove 30 more miles than Adam
Step-by-step explanation:
After three hours Sheila drove 150 miles, and after three hours Adam drove 120 miles
PLS HELP ME SOLVE THIS
The pH level, P, of a liquid can be determined from the hydronium ion (H3O+) concentration, c, using the equation P = –log(c). If the pH level of grape juice is 3.3, what is the hydronium ion concentration?
A. 5.01 x 10^–4
B. 1.19 x 10^–2
C. 1.99 x 10^3
D. 1.53 x 10^5
Logarithm involves the use of exponents to represent numbers.
If the pH level of grape juice is 3.3, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
Given that:
[tex]P = -\log(c)[/tex]
To calculate c when [tex]P = 3.3[/tex]
We first substitute 3.3 for P in [tex]P = -\log(c)[/tex]
So, we have:
[tex]3.3 = -\log(c)[/tex]
Divide both sides by -1
[tex]-3.3 = \log(c)[/tex]
Apply law of logarithm
[tex]10^{-3.3)} = c[/tex]
Rewrite as:
[tex]c = 10^{-3.3}[/tex]
Using a calculator, we have:
[tex]c = 0.000501[/tex]
Rewrite as
[tex]c = 5.01 \times 10^{-4[/tex]
Hence, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
Read more about logarithms at:
https://brainly.com/question/8657113
angle 1 and angle 2 are vertical angles. if the measure of angle 1 is (6x+11)° and measure of angle 2 is (10x-9)° find measure of angle 1.
Answer:
Angle 1 = 41°
Step-by-step explanation:
Since they are both vertical angles
(6x+11)° = (10x-9)°
6x - 10x = -9 - 11
-4x = -20
4x = 20
x= 5.
Therefore,
Angle 1 = 6(5) + 11
Angle 1 = 30 + 11
Angle 1 = 41°
Is this correct i am not sure
Answer:
YesStep-by-step explanation:
Collinear points are the points on the same line.
We see that points E, B and F are part of same line n.
Your answer is correct.
Answer:
EBF points are coplaner
Step-by-step explanation:
Coplaner points are the points which are ColinearThey are situated in one line .what is the slop of 2x+3y-9=0
Answer:
Step-by-step explanation:
We need to write this equation in y=mx+b where m is the slope.
3y= -2x +9
y= -2/3 +9
So now that it is in the form of y=mx+b, we can find the slope. -2/3 is the slope of the equation. Hope that helps!
Round 529.5635 to the nearest
hundredth.
Answer: 529.56
Explanation:
Answer:
529.5600
Step-by-step explanation:
How do you read decimals? One way to read decimals is with a place value chart. Notice that the place names are similar to the place names for whole numbers, but the names go in the opposite direction. This is because the values of the places decrease as you move from left to right. Think about how this applies to money: a dime, which is worth one-tenth of a dollar, is worth more than a penny, which is worth one one-hundredth of a dollar.
