Answer:
640π units squared.
Step-by-step explanation:
The formula for the surface area of a cylinder is 2πrh+2πr².
Where r is the radius and h is the height.
2πrh+2πr²
Apply the formula.
= 2π(10)(22)+2π(10)²
Multiply the terms.
= 440π+200π
Add both terms.
= 640π
The answer in terms of π is 640π units squared.
Answer:
[tex]640\ \:\pi\: {units}^{2} [/tex]Solution,
Radius(r)=10
height(h)=22
Now,
[tex]surface \: area \: of \: cylinder \\ = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \: r(h + r) \\ = 2 \times \pi \times 10(22 + 10) \\ = 20 \: \pi \times 32 \\ = 640\ \: pi \: {units}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Annie is 3 years older than James. (Use J represent James’ age.)
a. Write an expression to represent Annie's Age.
b. If the sum of their ages is 18, write an equation to represent this situation
C. How old is Annie ?
Answer:
Step-by-step explanation:
James' age = J
a) Annie is 3 years older than James so,
Annies age = 3 +J
b) Sum of their ages is 18 so,
Annies age + James' age = 18
= 3 + J + J = 18
2J = 18-3
J = 15/2 = 7.5
c) Annies age = 3 + J = 3 + 7.5
= 10.5 years
PLS i need help! and an explanation
Answer:
C) 10.101
Step-by-step explanation:
A terminating decimal is one that is not repeating and ends at some point.
The line over the 3 in A means that it's a repeating decimal.
[tex]\sqrt{10}[/tex] is an irrational number, so it never ends.
The line over the 6 in D means that it's a repeating decimal.
C is the right answer because 10.101 has a definite endpoint :)
Which algebraic expressions are polynomials? Check all that apply. PLEASE HELP
Answer: B and E
Step-by-step explanation:
A polynomial is an algebraic expression of degree one variable and above.
A polynomial does not have negative in it exponent and cannot be divided by a variable.
Polynomial operations are addition, subtraction and multiplication. It also involves non-negative integer exponents of variables.
From the options given to you, only B and E are polynomials
What is 3(x+2)+2(x+2) ?
Answer:
5x +10
Step-by-step explanation:
3(x+2)+2(x+2)
Distribute
3x+6 +2x+4
Combine like terms
5x +10
Answer:
5x+10
simplified if you want: x+2
Step-by-step explanation:
3x+6+2x+4
5x+10
subract 5 5/21 from 13 1/7
Answer:
The answer is 166/21, or 7 19/21
Step-by-step explanation:
First, you would set up the equation, which is:
13 1/7 - 5 5/21
Next, you would turn them into an improper fraction, which is:
92/7 - 110/21
Then, you would multiply 92/7 by 3/3 because that is the least common multiple for 21 and 7 (which are the denominators). When you are done multiplying, the equation would be:
276/21 - 110/21
Afterwards, you would subtract the numerators and leave the denominators alone, which gives you the answer 166/21. As a mixed number, this would equal 7 19/21.
Answer:
7 19/21
Step-by-step explanation:
13 1/7 - 5 5/21
Get a common denominator
13 1/7*3/3 - 5 5/21
13 3/21 - 5 5/21
We need to borrow 1 from the 13 in the form of 21/21
12 +21/21 + 3/21 - 5 5/21
12 24/21 - 5 5/21
7 19/21
If cos x=22/29 then sin x =?
Answer:
x = π n + cot^(-1)(22/29) for n element Z
Step-by-step explanation:
Solve for x:
cos(x) = (22 sin(x))/29
Divide both sides by sin(x):
cot(x) = 22/29
Take the inverse cotangent of both sides:
Answer: x = π n + cot^(-1)(22/29) for n element Z
The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).
Answer:
The question is missing, so I will answer all the solution for each possible system of two equations.
Step-by-step explanation:
The equations
x + 5 y = 10 (red)
3 x - y = 1 (blue)
x - 5 y = 10 (green)
3 x + y = 1 (purple)
are shown in the picture atatched. The intersection between two lines is the solution of their system.
system:
x + 5 y = 10 (red)
3 x - y = 1 (blue)
solution: (0.938, 1.813)
system:
x + 5 y = 10 (red)
x - 5 y = 10 (green)
solution: (10, 0)
system:
x + 5 y = 10 (red)
3 x + y = 1 (purple)
solution: (-0.357, 2.071)
system:
3 x - y = 1 (blue)
x - 5 y = 10 (green)
solution: (-0.357, -2.071)
system:
3 x - y = 1 (blue)
3 x + y = 1 (purple)
solution: (0.333, 0)
system:
x - 5 y = 10 (green)
3 x + y = 1 (purple)
solution: (0.938, -1.813)
Answer:
A.
Step-by-step explanation:
I just took the quiz :]
The system of equations y = one-fourth x minus 5 and y = negative one-half x minus 3 is shown on the graph below. On a coordinate plane, 2 lines intersect around (2.8, negative 4.2). Which statement is true about the solution to the system of equations? The x-value is between 2 and 3, and the y-value is between –4 and –5. The x-value is between –4 and –5, and the y-value is between 2 and 3. The x-value is between –2 and –3, and the y-value is between 4 and 5. The x-value is between 4 and 5, and the y-value is between –2 and –3.
Answer:
The x-value is between 2 and 3, and the y-value is between -4 and -5
Step-by-step explanation:
The plot of the equations:
y = 1/4x - 5 (red)
y = -1/2x - 3 (blue)
is shown in the figure attached.
The solution to the system is found at the intersection point. In this case, the solution is x = 2.667 and y = -4.333
Answer:
it is A The x-value is between 2 and 3, and the y-value is between –4 and –5.
Step-by-step explanation:
Katherine has two types of iodine in her lab. She has brand 232 iodine, which costs thirty-six cents
per ounce. She also has brand 880 iodine, which costs $2.04 an ounce. How many ounces of each should she use if she wants to make three hundred ninety-three ounces of iodine that cost a total of $255.72?
Answer:
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
Step-by-step explanation:
Given the following ;
Brand 232:
Cost per ounce = 36cent
Brand 880:
Cost per ounce = $2.04 = 204cent
Assume the following :
Number of ounces of 232 brand = x
Number of ounces of 888 brand = y
Total ounces to be made :
x + y = 393 - - - (1)
Total cost of iodine :
Brand 232 = 36x
Brand 888 = 204y
36x + 204y = 25572 - - - - (2)
From (1)
x = 393 - y - - - - (3)
Substitute (3) into (2)
36(393 - y) + 204y = 25572
14148 - 36y + 204y = 25572
-36y + 204y = 25572 - 14148
168y = 11424
y = 11424 / 168
y = 68
From ; x = 393 - y
y = 68
x = 393 - 68
x = 325
Number of ounces of iodine 888 brand = 68
Number of ounces of iodine 232 brand = 325
WHAT ARE THE COORDINATES OF THE POINT THAT IS 1/4 OF THE WAY FROM A(-6,-3) TO B(6,1)? a.(-3,-2) b.(3,2) c. (-1,0) D.(0,-2
someone has already answered this, so here you go :
Answer:
the correct answer is A. (-3, -2)
Help will give brainliest
Answer:
70
Step-by-step explanation:
Answer:
70 fewer refrigerators than television
Step-by-step explanation:
How do you do this help
The sum of two numbers is -12. The difference between the same two numbers is 8. What is the product of the two numbers? ( with explanation )
Answer:
x=-2
y=-10
Step-by-step explanation:
x+y=-12
x-y=8
x=y+8
(y+8)+y=-12
2y+8=-12
2y=-20
y=-10
x+10=8
x=-2
Answer:
[tex]x = - 2 \\ y = - 10[/tex]
Step-by-step explanation:
[tex]x + y = - 12 \\ x - y = 8[/tex]
[tex]x + y + (x - y) = - 12 + 8 \\ x + y + x - y = - 4 \\ 2x = - 4 \\ \frac{2x}{2} = \frac{ - 4}{2} \\ x = - 2[/tex]
[tex]x + y = - 12 \\ - 2 + y = - 12 \\ y = - 12 + 2 \\ y = - 10[/tex]
simplfy (x)^2(2xy^3)^5 plz help
Answer: 32x^7y^15
Step-by-step explanation:
(x)^2(2xy^3)^5
= x^2 * 32x^5y^15
= 32x^7y^15
Based on a poll, 40% of adults believe in reincarnation. Assume that 8 adults are randomly selected, and find the indicated probability.
Complete parts (a) through (d) below.
a. What is the probability that exactly 7 of the selected adults believe in reincarnation?
The probability that exactly 7 of the 8 adults believe in reincarnation is
(Round to three decimal places as needed.)
Answer:
The probability under the given conditions is found:
P(7) = 0.079
Step-by-step explanation:
Let x be the number of adults who believe in reincarnation.
Adults randomly selected = 8
percentage of adult believe in reincarnation = 40% = 0.4
x follows binomial distribution:
P(x) = [tex]\left(\begin{array}{ccc}n\\x\end{array}\right) (p)^x(1-p)^{n-x}[/tex]
where
n= total people random people selected = 8,
x = selected for the part = 7,
p = probability given = 0.4
P(7) = [tex]\left(\begin{array}{ccc}8\\7\end{array}\right) (0.4)^7(1-0.4)^{8-7}[/tex]
P(7)= (8)(0.0164)(0.6)
P(7) = 0.07872
Rounding off to 3 decimal positions
P(7) = 0.079
a square has a area of 466.56m squared work out the peremiter
Answer:
Perimeter = 86.4 (m)
Step-by-step explanation:
A square (with side x) has an area of 466.56 (m^2)
=> x^2 = 466.56
=> x = sqrt(466.56) = 21.6
=> Perimeter of this square: P = 4(x) = 4(21.6) = 86.4 (m)
Hope this helps!
What are the resulting coordinates of triangle D′E′F′ after reflecting triangle DEF across the y-axis? answers : A) D′(1,– 4), E′(3, –1), F′(5, –2) B) D′(–1, 4), E′(–3, 1), F′(–5, 2) C) D′(–1, 4), E′(3, 1), F′(5, 2) D) D′(–1, –4), E′(–3, –1), F′(–5, –2)
Answer:
the answer would be B
Step-by-step explanation:
by flipping it to the other side u will have the same numbers but some might be negative hoped it was right
Answer:
its B
Step-by-step explanation:
Six added to 3 times a number is equal to 4 less than 5 times the number. What is the number?
5
-5
10
-10
Answer:
[tex]5[/tex]
Step-by-step explanation:
Let the number be [tex]x[/tex].
[tex]3x+6=5x-4[/tex]
[tex]3x-5x=-4-6[/tex]
[tex]-2x=-10[/tex]
[tex]2x=10[/tex]
[tex]2x/2=10/2[/tex]
[tex]x=5[/tex]
The number is 5.
Answer:
5
Step-by-step explanation:
Write a function and solve for the
total loan amount of an initial loan
of $24,520 with an interest rate of
3% for 10 years.
Answer:
Total is 7356
Step-by-step explanation:
Find 3% of $24,520
Interest = per year
So the 3% times 10 and you get the answer
A bag contains four yellow marbles, six red marbles, five blue marbles, six white marbles, and four black marbles. What is the theoretical probability of pulling a white marble from the bag? A. 4/25 B. 6/19 C. 4/21 D. 6/25
Answer: 6/25
Step-by-step explanation:
There are 6 white marbles out of 25 total marbles. So the probability of drawing a white marble is 6/25
HELLO THERE. PLS HELP WITH GEOMETRY
Answer:
x = 114°
y = 27
Step-by-step explanation:
To get x, we simply subtract 66° from 180°. Because of same-side interior angles, the angle below x is 66°.
To find y, we set the expression equal to 66° because they are the same angle. When we solve for y, we get 27.
Answer:
x= 114,
y= 27
Step-by-step explanation:
x= 180 - 66 = 114
6y - 96 = 66, 6y= 66+96, 6y= 162, y= 162/6, y= 27
Asher has about a probability of winning then Ethan has which could be the outcome that Ashlee needs to win the game select three options
Answer:
There are 36 total possible outcomes.
Rolling a sum of 11 or higher, there are 3 possible rolls, to make a 3/36 = 1/12 probability.
Rolling a sum of 4 there are also 3 possibilities, so the chance would be the same.
Rolling a sum of 9, there are 4 possibilities, which is a better chance.
Rolling a sum less than 5, there is 6 possibilities, which is a better chance.
Rolling greater than 5 but less than 7 means rolling a sum of 6, there are 5 chances, which is a better chance.
Rolling greater than 9 but less than 11, means rolling a 10, there are 3 possibilities, which is the same.
Rolling greater than 2 and less than 4 means rolling a 3, there are 2 possibilities, which is less.
The answers would be:
Rolling a sum of 9,
Rolling a sum less than 5
Rolling greater than 5 but less than 7
Answer:
There are 36 total
Step-by-step explanation:
simplify the expression please
Answer: 6.75
Step-by-step explanation:
|6.75| = the absolute value of 6.75. The absolute value of a number is its distance from 0, which will always be positive. So |6.75| = 6.75.
Answer:
[tex]6.75[/tex]
Step-by-step explanation:
[tex]\mathrm{Apply\:absolute\:rule}:\quad \left|a\right|=a[/tex]
[tex]\mathrm{a\ge 0}[/tex]
[tex]\left|6.75\right|=6.75[/tex]
help will give brainliest
Answer:
8
Step-by-step explanation:
i don’t have time now but i promise i’ll give it when i have time
Answer:
8
Step-by-step explanation:
Step 1: Find # of gender toys
80(0.4) = 32 toys for boys
80 - 32 = 48 toys for girls
Step 2: Find % made
32(0.5) = 16 toys made (boys)
48(0.5) = 24 toys made (girls)
Step 3: Find the difference
24 - 16 = 8
Apply the distributive property to factor out the greatest common factor. 21e+35 =? i need this awnser asap
Answer:
7
Step-by-step explanation:
21e + 35 can also be 7(3e+5) since 7 is the gcf of these terms
in 1997 the population of a small town was 700. If the annual rate of increase is about 0.8%, which value below expresses the population five years later? a.(700)(0.008)^5 B.(700)(1.08)^5 c.(700)(0.08)^5 D. (700)(1.008)^5
Answer:
D
Step-by-step explanation:
[tex]P(1+r\%)^t[/tex]
[tex]700 \times (1+0.8\%)^5[/tex]
[tex]700 \times (1+0.8/100)^5[/tex]
[tex]700 \times (1+0.008)^5[/tex]
[tex]700 \times (1.008)^5[/tex]
The value expresses the population five years later is (700)(1.008)^5.
We have given that in 1997 the population of a small town was 700.
The annual rate of increase is about 0.8%.
We have to find the population for 5 years
What is the formula for future value?
[tex]F=P(1+r)^t\\\\[/tex]
Here p=700
r=0.8/100=0.008
t=5
Use the above value in the formula so we get,
[tex]F=700(1+0.008)^5[/tex]
[tex]F=700(1.008)^5[/tex]
Therefore option D is correct.
To learn more about future value visit:
https://brainly.com/question/24703884
The number -5 can be described by which number type? irrational integer whole number natural number
Answer:
It is an integer.
Step-by-step explanation:
The number -5 is negative so it is not a whole number or a natural number. It also isn't a decimal number or a fraction so it is an integer.
Answer: Integer
Step-by-step explanation: you have to use your skills
I need help I have been sitting for an hour trying to figured this out:(
Answer:
This is really weird. None of them seem to be right.
For the first one, it says that -7.5 is greater than or equal to -6.4, which is not true. -7.5 is less than -6.4. The next one is the only one that makes a true comparison, but I don't agree with the "or equal to" part. -7/8 cannot be equal to 7/8. The next one is false, -4 is greater than -8. Finally, the last one is incorrect as well because -4.2 is less than -3.6.
However, if I had to choose one, I'd choose the second option. It's the closest to being correct.
points
Save Answer
Mardi received an inheritance of $40,000. She invested part at 9% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was
$3700. Find the amount invested at 9%
O A $36,300
OB $29.000
oc 530,000
OD 515,000
Answer:
The amount invested at 9% is $30,000
Step-by-step explanation:
Mardi received an inheritance of $40,000.
Let x be the amount invested at 9%.
So, Amount invested at 10% = 40000-x
Her total annual income from the investments was $3700.
So, [tex]0.09x+0.1(40000-x)=3700[/tex]
[tex]0.09x+4000-0.1x=3700[/tex]
x=30000
Hence the amount invested at 9% is $30,000
Which statements are true about reflections? Check all that apply
An image created by a reflection will always be congruent to its pre-image.
An image and its pre-image are always the same distance from the line of reflection
If a point on the pre-image lies on the line of reflection, the image of that point is the same as the pre-image.
The line of reflection is perpendicular to the line segments connecting corresponding vertices.
The line segments connecting corresponding vertices are all congruent to each other.
The line segments connecting corresponding vertices are all parallel to each other.
Answer: Reflection is the change in direction of a wavefront between two different media so that the wavefront returns into the medium from which it originated.
Step-by-step explanation:
Answer:
1,2,3,4,6
Step-by-step explanation: