Answer:
[tex]\boxed {\boxed {\sf SA= 753.6 \ in^2}}[/tex]
Step-by-step explanation:
The surface area of a cylinder is found using this formula.
[tex]SA=2 \pi rh+ 2 \pi r^2[/tex]
We know the diameter is 20 inches and the height is 2 inches. We must find the radius.
The radius is half the diameter. r= d/2 r= 20 in /2= 10 inNow we know that:
[tex]r= 10 \ in \\h= 2 \ in[/tex]
Substitute the values into the formula. Also, plug 3.14 in for pi.
[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(10 \ in)^2[/tex]
Solve according to PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction.
Solve the exponent.
(10 in)²= 10 in * 10 in= 100 in²[tex]SA=2 (3.14)(10 \ in)(2 \ in)+ 2 (3.14)(100 \ in^2)[/tex]
Multiply all the numbers together.
[tex]SA=2 (3.14)(20 \ in^2)+ 2 (3.14)(100 \ in^2)[/tex]
[tex]SA=125.6 \ in^2+628 \ in^2[/tex]
Add.
[tex]SA= 753.6 \ in^2[/tex]
The surface of the cylinder is 753.6 square inches.
factorise x ^ 4 + 1/x ^ 4 - 3
Answer:
Step-by-step explanation:
Add 1 and subtract 1, so that the expression won't change.
[tex]x^{4}+\frac{1}{x^{4}}-3=x^{4}+\frac{1}{x^{4}}-3 +1 - 1\\\\=x^{4}+\frac{1}{x^{4}} - 2 + 1\\\\= (x^{2})^{2} + (\frac{1}{x^{2}})^{2}- 2 *x^{2}*\frac{1}{x^{2}} - 1\\\\[/tex]
[tex]= (x^{2} -\frac{1}{x^{2}})^{2} - 1\\\\=(x^{2}-\frac{1}{x^{2}})^{2}- 1^{2}[/tex]
(a² - b²) = (a+b)(a - b)
Here a = x² - (1/x²) and b = 1
[tex]= [ (x^{2}-\frac{1}{x^{2}})+ 1 ] [ (x^{2} -\frac{1}{x^{2}} - 1 ][/tex]
3. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the yintercept represent? How much money will she make if she baby-sits 5 hours?
Answer:
a) C = 3 + 5h
b) Slope = 5
y - intercept = 3
c) $28
Step-by-step explanation:
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.
a) Write an equation for the cost, C, after h hours of babysitting.
The equation for the cost C is given as:
C = $3 + $5 × h
C = 3 + 5h
b) What do you think the slope and intercept represent?
The equation of a straight line is represented by
y = mx + c
Where
Slope = m and y-intercept = c
Comparing this with our equation in a
C = 3 + 5h = C = 5h + 3
mx = 5h
c = 3
Therefore,
Slope = 5
y - intercept = 3
c)How much money will she make if she baby-sits 5 hours?
We have our equation above as:
C = 3 + 5h
h = 5 hours
Hence,
C = 3 + 5 × 5
C = 3 + 25
C = $28
She would make $28
10 to 9th power (inspired by mY FRIEND :)
Answer:
1000000000 is your answer
Just add 9 0's to the 1
Answer:
Hi........................
The length of a rectangular picture frame is 16 inches, and the width of the picture frame is 12 inches. What is the length of a diagonal of this picture frame in inches?
Answer:
20 inches
Step-by-step explanation:
A rectangular object can instead be thought about as two right triangles with the hypotenuse being the diagonal we are solving for.
With this in mind the Pythagorean Theorem can be used to solve for c
c^2=a^2+b^2
A=16 inches
B= 12 inches
C= hypotenuse
C^2=16^2+12^2
C^2=256+144
C^2=400
Take the square root of both sides: C = 20 inches
Problem 1: Write each expression in the form a^b, without using any radicals.
A: √5^9
B: 1/3√12
[tex]\\ \tt\hookrightarrow \sqrt{5^9}[/tex]
[tex]\\ \tt\hookrightarrow 5^{9\times \frac{1}{2}}[/tex]
[tex]\\ \tt\hookrightarrow 5^{\frac{9}{2}}[/tex]
#2
[tex]\\ \tt\hookrightarrow 1/3\sqrt{12}[/tex]
[tex]\\ \tt\hookrightarrow 1/3(2\sqrt{3})[/tex]
[tex]\\ \tt\hookrightarrow 2/3(3^{\frac{1}{2}})[/tex]
solve for x: 3/4(12x-4)=12
Answer:
5/3
Step-by-step explanation:
Divide both sides by 0.75:
12x - 4 = 16
12x = 20
x = 20/12 = 5/3
Can somebody help me with this question please I dont know what real world situation I’ll mark you brainlist after please and ty!
Answer:
If I have x cars and sell 12 how many cars do I have left.
Step-by-step explanation:
Please help! Thank you.
Answer choices below:
A. Very weak
B. Moderately weak
C. Very strong
D. Moderately strong
Answer:
Step-by-step explanation:
es la d
I NEED HELP WITH THIS ASAP PLEASE!
Can you help me with the answer and also explain how to get it? thank you!!
Answer:
140
Step-by-step explanation:
200 x .7=140
with percents to decimal you move the decimal 2 places to the left
70
.70
14p - 8 = 22 + 20p
could someone help
Answer:
P = -5
Step-by-step explanation:
First try to get the variable p by its self and the whole numbers on the opposite side.
14p - 8 = 22 + 20p
-14p - 14 p
-8 = 22 + 6p
-22 -22
-30 = 6p
Then divide to get P alone
-30 = 6p
/6 /6
-5 = p
Answer:
here is your answer
Step-by-step explanation:
I have Helped please mark me brainliest
Asking again... Please help! 13/20. Will give brainliest! Spam answers will not be tolerated!
Factor. 7x² ‐ 9x + 2
Answer:
(7x-2)(x-1) is factored form
Step-by-step explanation:
if you are looking for your zeros in the equation they are
x=2/7
x=1
The expression 3(x-6)2-2(x-1) is equivalent to
Answer:
a
Step-by-step explanation:
did it on egde 100 percent
10 to the 9th power?
100000000 that's the answer
Answer:
1000000000
Step-by-step explanation:
All you had to do is 10 times 10 9 times if
A number line contains points Q, R, S, and T. Point Q is on the coordinate 4, R is on the coordinate 8, S is on the coordinate 9, T is on the coordinate 12. Find the probability that a point chosen at random on QT is on ST. Express your answer as a percent.
51.5%
37.5%
25%
44%
37.5% esa es la respuesta correcta
Answer:
37.5%
Step-by-step explanation:
Please help me with this
Answer:
A. complementary
Step-by-step explanation:
Complementary is when 2 angles add up to 90°. Therefore, the angle in the image shown is a 90° angle. Hope this helps :)
Margo can purchase tile at a store for $0.69 per tile and rent a tile saw for $28. At another store she can
borrow the tile saw for free if she buys tiles there for $1.39 per tile. How many tiles must she buy for the
cost to be the same at both stores?
Answer:
30 tiles need to buy for same cost in both store.
Step-by-step explanation:
Let x be the number of tiles to buy for same cost in both store.∴18+0.69⋅n=1.29⋅n∴ 1.29n − 0.69n = 18 or 0.6n =18∴n=180.6=30 Therefore, 30 tiles need to buy for same cost in both store
5. In the equation for exponential functions, y = a.b%, how does the a term relate to a
key feature of the graph?
Help please
Answer: I really don't know sorry
Step-by-step explanation:
Find the area of a circle with a radius of 3 inches. Use 3.14 for pi.
Answer:
28.26
Step-by-step explanation:
3×3=9
9×3.14=28.26
Answer:
The answer is 28.26
Step-by-step explanation:
Why? Ok so here it is:
The formula is (pi)(r)squared
In this case, you will replace pi with 3.14 and replace r with 3 because that's the radius.
So it would be (3.14)(3)
You would get 9.42
Now you just need to square it
When squared, you'll get 28.26 inches squared
GIVING BRAINLEST FOR SIMPLE 7TH GRADE MATH PROBLEM.
Answer:
B. 60deg
Step-by-step explanation:
Both the sum of the third angle in the triangle and x has to be 180deg, as they sum to a half angle;
and the sum of angles in any triangle is 180deg.
We know that x = 180deg - (180deg - 28deg - 32deg) = 180deg - 180deg + 28deg + 32deg = 60deg
Also, note that x is drawn as smaller than a right angle. Unless the picture was made specifically to confuse us, we know that the only answer could be B.
Answer:
The exterior angle measures 60°
Step-by-step explanation:
Using the angles we already have we can determine that the missing interior angle is 120 since the interior angles of a triangle add up to 180°. So the missing interior and and the missing exterior angle are supplementary meaning they add up to 180. so 180-120=60°
helpoo plsssss am stuck
Answer:
The median for 1 is **15**
Step-by-step explanation:
Answer:
1. 142. 16Step-by-step explanation:
1. 7, 13, 14, 14, 16 --> 13, 14, 14 --> 14
Result/Median : 14
2. 8, 10, 13, 16, 16, 17, 20, 20 -->
10, 13, 16, 16, 17, 20 -->
13, 16, 16, 17 -->
16, 16 --> You are left with two numbers, so you find their average.
16 + 16 = 32 / 2 = 16
Result/Median: 16
Hope that helps!
There are 5 pencils in a pack.
Catalina has 2 packs. How many
pencils in all?
(unit)
Reese has 20 packs. How many
pencils in all?
(unit)
Answer:
Catalina has 10 pencils total. (2 x 5 = 10)
Reese has 100 pencils total. (20 x 5 = 100)
Answer:
1. 10 2. 100
Step-by-step explanation
5 x 2= 10
20x 5= 100
the difference between a number and 7,multiplied by 8,is 24.
Answer:
X - 7 x 8 = 24
Step-by-step explanation:
Is your algebra expression
Please help question is in the picture
Transformations and stuff, please help
A. a reflection over the y-axis, then a dilation by a scale factor of 1/2 with a center of dilation at the origin
B. a translation 8 units to the left, then a dilation by a scale factor of 1/2 with a center of dilation at the origin
C. a 90 degree counterclockwise rotation about the origin, then a dilation by a scale factor of 1/2 with a center of dilation at the origin
D. a dilation by a scale factor of 1/2 with a center of dilation at the origin, then a 90 degree counterclockwise rotation about the origin
Answer:
A
Step-by-step explanation:
a seven-sided number cube with the sides numberd 1,2,3,4, 5, 6, 7 is rolled once. What is the probability that an even number less than five is rolled?
6/7
5/7
2/7
9/49
Answer:
i think it 2/7
Step-by-step explanation:
im sorry if wrong
Could anyone elaborate on how they determined whether this is a one-tailed, two-tailed, or upper-tailed test? Could you also explain how to determine which section of the graph on a bell curve that gets shaded in?
A company’s call center advertises that they resolve 80% of its customer calls by using automated voice options. A customer who has called in many times and rarely had issues resolved through the automated options believes that 80% is an overstatement. A significance test was done, and a test statistic was calculated. Assume the conditions for inference were met.
H0: p = 0.80
Ha: p < 0.80
p = The true proportion of all customer calls that are resolved by using automated options
Calculate the P-value, given that the resulting test statistic was z = –1.389.
Answer:
1. State the claim H0 and the alternative, Ha
2. Choose a significance level or use the given one.
3. Draw the sampling distribution based on the assumption that H0 is true, and shade the area
of interest.
4. Check conditions. Calculate the test statistic.
5. Find the p-value.
6. If the p-value is less than the significance level, α, reject the null hypothesis. (There is enough
evidence to reject the claim.)
If the p-value is greater than the significance level, α, do not reject the null hypothesis.
(There is not enough evidence to reject the claim.)
(You can use the p-value to make a statement about the strength of the evidence against H0
without using α, e.g., p>.10 implies “little or no evidence against H0”, .05< p ≤ 10 implies
“some evidence against H0”, .01 < p ≤ .05 implies “good evidence against H0”, .001 < p ≤ .01
implies “strong evidence against H0”, p ≤ .001 implies “very strong evidence against H0”.)
7. Write a statement to interpret the decision in the context of the original claim.
Test statistics: (Step 3)
Hypothesis testing for a mean (σ is known, and the variable is normally distributed in the
population or n > 30 ) z
x
n
=
− µ
σ
0
(TI-83: STAT TESTS 1:Z-Test)
Hypothesis testing for a mean (σ is unknown, and the variable is normally distributed in the
population or n > 30 ) t
x
s
n
=
− µ0
(TI-83: STAT TESTS 2:T-Test)
Hypothesis testing for a proportion (when np and n p 0 0 ≥ 10 1 10 ( ) − ≥
(TI-83: STAT TESTS 5:1-PropZTest)
Step-by-step explanation:
i think that it?
Answer:
0.0823
Step-by-step explanation:
What is 0.17 in expanded form?
help if u can guys i’ll give u brainliest
Answer: the answer is 16 I think
Step-by-step explanation:
Answer: 16 inches
a^2+30^2=34^2
a^2+900=1156
-900 -900
a^2=256
Square both sides to cancel a^2
a=16
Hope I helped!
A student with a mass of 65 kg steps on an improvised raft. He then moves at a speed of 2.0 m/s to cross a flooded street. With what velocity does the raft move assuming it has a mass of 25 kg?
Answer: 0.2 m/s
Step-by-step explanation:
The student steps on the raft, and then he moves (with the raft) at a speed of 2.0m/s to cross the flooded street.
Then the raft moves with him, at the same speed (notice that the mass of the raft does not matter, suppose that you move at 100km/h in a small car, the speed of the vehicle would be exactly the same as if you where in a truck moving at 100km/h)
Then the speed of the raft is also 2.0 m/s.