Answer:
15.5 mmStep-by-step explanation:
Given:
ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mmSince BC is opposite to right angle, AC is the missing leg.
Find AC using Pythagorean:
[tex]AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm[/tex]The equation for the circle below is 2 + y2 = 64. What is the length of the
circle's radius?
O A. 2
8 d
Ο Ο
B. 64
C. 8
O Ο Ο
D. 9
E-1
OF 25
3(×+2)=3×-6 I got 0 is that right or wrong
Answer:
Step-by-step explanation:
3(x + 2) = 3x - 6
3x - 6 = 3x - 6
Subtract 6 from both sides of the equation. Then you will get 3x = 3x - 12. Now subtract 3x from both sides of the equation. Leaving you with 0 = -12. So I guess it’s correct?
Please help asap show work to
Answer:
[tex]{ \rm{V(x) = 4x {(10 - x)}^{2} }} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 2(10 - x))}} \\ \\ { \rm{ \frac{dv}{dx} = 4 {(10 - x)}^{2} + 4x( - 20 - 2x) }} \\ \\ { \rm{ \frac{dv}{dx} = 4(100 - 20x + {x}^{2} ) + ( - 80x - 8 {x}^{2} ) }} \\ \\ { \rm{ \frac{dv}{dx} = - 4 {x}^{2} - 160x + 400}}[/tex]
• But at maximum volume, dv/dx is 20 square inches.
[tex]{ \rm{ - 4 {x}^{2} - 160x + 400 =2 0}} \\ \\ { \rm{ {x}^{2} + 40x - 95 = 0}}[/tex]
• Using the quadratic formula:
[tex]{ \underline{ \rm{ \: \: x \approx3\: \: squares \: \: }}}[/tex]
• Therefore,
For maximum volume,
[tex]{ \rm{V(x) = 4x(10 - x) {}^{2} }} \\ \\ { \rm{V(3) = (4 \times 3)(10 - 3) {}^{2} }} \\ \\ { \rm{V(3) = 12 \times 49}} \\ \\ { \boxed{ \rm{V = 588 \: {in}^{3} }}}[/tex]
I've attached an image of the problem(s).
Answer: B
Step-by-step explanation:
please help me with this sum
answer:
3,204/4 = 801
5,656/8 = 707
2,736/9 = 304
4,224/6 = 704
7,256/8 = 907
5,424/6 = 904
3,515/5 = 703
An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.
Probabilities are used to determine the chances of an event.
The probability that the two bags are selected for extra screening is 0.02
The given parameters are:
[tex]n = 2[/tex] --- number of bags
[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening
The probability that the two bags are selected for extra screening is:
[tex]P(2) = p^n[/tex]
So, we have:
[tex]P(2) = (14\%)^2[/tex]
Express percentage as decimal
[tex]P(2) = (0.14)^2[/tex]
[tex]P(2) = 0.0196[/tex]
Approximate
[tex]P(2) = 0.02[/tex]
Hence, the required probability is 0.02
Read more about probabilities at:
https://brainly.com/question/11234923
Answer:
0.02 i did khan academy pls mark brainliest
Step-by-step explanation:
I identify the 3d shape below
Rectangular prism
-------------------------------
help me please!!!!!!!!!!
Answer:
Answer is B because I had this homework and I got it right :)
PLEASE ANSWER THIS AS SOON AS POSSIBLE.
A group of 20 friends plays a card
game. The game can be played with
2 or more teams of equal size. Each
team must have at least 2 members.
List the possible numbers and sizes
of teams.
There can be two groups of 10 players on each team, or four groups of 5 on each team.
Write the equation of the line that passes through the points (-3, -3) and (8,7).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{7 - (-3)}{8 - (-3)} = \frac{10}{11}[/tex]
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
find the product of 3.7 and 0.47
Answer:
[tex]1.739[/tex]
Step-by-step explanation:
We know that [tex]3.7=37/10[/tex].
We also know that [tex]0.47=47/100[/tex].
The product of these is [tex]37/10*47/100=(37*47)/1000=1739/1000=1.739[/tex].
So, the answer is [tex]\boxed{1.739}[/tex]
if you practice a musical instrument each day for 2/3 of an hour how many hours of practice would you get in each week
Answer:
2/3 of an hour is 40 minutes so
40 x 7 = 280
You would practice that musical instrument 280 hours after a week
***hope this helps
Step-by-step explanation:
Answer:
14/3
Step-by-step explanation:
Please help me understand
Answer:
2
Step-by-step explanation:
The scaled factor has to be 2 because 4*2=8. You can check 2 is the correct answer by doing 8/2, which is 4. The scaled factor has to be proportional so if one side of ABC was 2 but the same side on ABC prime or A’B’C’ was 10 it would not be proportional, not a scaled factor. Because 2*10 is 5, not 8. But it does not give any other side lengths so it is 4.
what adds up to -38 but multiplies to -168
Answer:
-42 x 4
Step-by-step explanation:
it multiplies to -168 and adds up to -38
0.43
decimal place(s)
X 0.2
decimal place(s)
0.086
decimal place(s)
Solve each equation 5(-8+5k) +5k=-250
Answer:
k = 7
Step-by-step explanation:
-40+25k +5k = -250
30k = -250 + 40
k = -210/30
k = 7
Nethra was ordering yarn from a discount website. If she ordered more than $50 worth of yarn labeled “discountable,” she could take an extra 10% from the price of that yarn. Only some of the yarn she ordered was eligible for the discount. Here is what Nethra ordered:
2 skeins at $2.50 per skein (not discountable)
8 skeins at $8.40 per skein (discountable)
7 skeins at $5.99 per skein (discountable)
Tax is 5% and shipping is 8%.
How much did Nethra pay for her yarn?
121.37
there thank me later
(Y^2+y)(3y^3-2y^3)=y^2(3y^3-2y^3)+y(3y^3-2y^3)is an example of:
Answer: It B the distributive property
:D
what is the midpoint between (-1, 1) and (5, -5)
Examine the following sequence 1, 4, 9, 16, 25.... Why is 36 the next number in the sequence? Because the pattern
is:
a. Add the next even number
Cube the number of the term, n
b. Square the number of the term, n
d. Add 2 + the number of the term, n
C.
Please select the best answer from the choices provided
А
B
ОООО
Save and Exit
Next
Submit
Mark this and return
Answer:
b
Step-by-step explanation:
1,4,9,16,25,36,...
we see every number is square of numbers .
every number can be represented by n²
1²=1
2²=4
3²=9
4²=16
5²=25
6²=36
The domain is…
(type in interval notation)
the range is …
(type in interval notation)
If you are at - 15 on the number line and you wanted to move toward the positive integers, which direction along the number
line would you need to move?
Answer:
To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
see this as an example:
The number line that you really want to move is the right side. Then, at that point, the right choice is C.
What is a number line?A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.
On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers
The number line that you need to move in the right side. Then the correct option is C.
More about the number line link is given below.
https://brainly.com/question/13189025
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Brenda won 92 lollipops playing hoops at
the county fair. At school she gave four to
every student in her math class. She only
has 8 remaining. How many students are
in her class?
Answer:
21 students were given 4 lolipops
Step-by-step explanation:
What is the product (7 10)*(5 x 108)? Be sure to express your
answer in scientific notation.
?
(7* 10^-5) * (5 x 10^-8) = ? * 10
DONE
[tex](7 \times 10) \times (5 \times 108) \\ 70 \times 540 \\ = 37800 \: or \: 3.78 \times 10 {}^{4} [/tex]
Solved ✔︎Select the correct answer. The population of a community, , is modeled by this exponential function, where x represents the number of years since the population started being recorded. p(x) = 2,400(1.025)x What is the approximate population 3 years after the population started being recorded?
A. 7,380 people
B. 2,460 people
C. 2,584 people
D. 14,887 people
The approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a×
where a is a constant and a>1
It is given that:
The population of a community is modeled by this exponential function, where x represents the number of years since the population started being recorded:
p(x) = 2,400(1.025)×
Plug x = 3 years in the above function.
P(3) = 2400(1.025)³
P(3) = 2400x1.0768
P(3) = 2584.53 ≈ 2584 people
Thus, the approximate population 3 years after the population started being recorded is 2584 people option (C) is correct.
Learn more about the exponential function here:
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When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number
that is 5 less than x. What is the value of x? Please help I will give you brainless please
answer:
x=8
Step-by-step explanation:
8+ (2x) = 8*(x-5)
8*(x-5) applies to the distributive law : a(b-c) = ab-ac
a=8 b=x c=5
8x-8*5
8x-40
then add 8+(2x) back into the equation and you have
8+(2x) = 8x-40
subtract 8
2x=8x-48
subtract 8x
-6x=-48
divide by -6
x=8
check work by plugging it in to the provided info-
8*2 = 16
16+8 = 24
8-5 = 3
3*8= 24
x=8
help me!
Read the excerpt from A Girl Named Zippy.
Not long ago my sister Melinda shocked me by saying she had always assumed that the book on Mooreland had yet to be written because no one sane would be interested in reading it.
Why is the author shocked by what Melinda says?
A.She thought her sister believed Mooreland was exciting.
B.She had heard that her sister wanted to write a memoir.
C.She did not understand what Melinda meant by “no one sane.”
D.She did not agree with her sister that Mooreland was a boring place.
Answer:
OPTION D
Step-by-step explanation: PLS MARK BRAINLIEST :D
Evaluate.
(w2x−3)÷10⋅z when w=−9, x = 2.7, and z=−25
Enter your answer as a simplified mixed number in the box.
Answer:
-539.25
Step-by-step explanation:
(w^2x−3)÷10⋅z
w=−9, x = 2.7, and z=−25
((-9)^2*2.7−3)÷10⋅(-25)
Parentheses first
The exponent in the parentheses
(81*2.7−3)÷10⋅(-25)
Then multiply
(218.7−3)÷10⋅(-25)
Then subtract
(215.7)÷10⋅(-25)
Now multiply and divide from left to right
21.57*(-25)
-539.25
Answer: It's -1 2/25.
Help
Solve the inequality. Then, graph the solution set on a number line. (Show all your work)
that's what it's graph looks like.
Step-by-step explanation:
[tex] |2w + 8| \geqslant 15[/tex]
[tex] \implies \mathsf{2w + 8 \geqslant 15 \: }\\ \mathsf{or }\\ \mathsf{ \: 2w + 8 \leqslant - 15}[/tex]
(that's a property, if |x| >= a
=> x >= a or x <= -a)
[tex] \implies \mathsf{2w \geqslant 15 - 8\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant - 15 - 8}[/tex]
[tex]\implies \mathsf{2w \geqslant 7\: }\\ \mathsf{or }\\ \mathsf{ \: 2w \leqslant -23}[/tex]
[tex]\implies \mathsf{w \geqslant \frac{7}{2} \: }\\ \mathsf{or }\\ \mathsf{ \: w \leqslant \frac{ - 23}{2} }[/tex]