Expand 359 as a sum of the largest powers of 2 that you can:
359 = 256 + 103
359 = 256 + 64 + 39
359 = 256 + 64 + 32 + 7
359 = 256 + 64 + 32 + 4 + 3
359 = 256 + 64 + 32 + 4 + 2 + 1
359 = 2⁸ + 2⁶ + 2⁵ + 2² + 2¹ + 2⁰
359 = 1 0110 0111₂
Someone help plzzzzz
Jack bought an automatic water bottle feeder for his cat. A
diagram of the bottle is shown below. What is the maximum
amount of water that the bottle can hold?
Hon
8.5 in
12.5
I
The maximum amount of water that the bottle can hold is 2251.77 cubic inches.
What is volume?
A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.
To find the maximum amount of water that the bottle can hold, we need to find the volume of the bottle.
The bottle is in the shape of a cylinder with a height of 12.5 inches and a radius of 8.5/2 = 4.25 inches.
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
Substituting the values, we get:
V = π(4.25)²(12.5)
V = 2251.77 cubic inches
Therefore, the maximum amount of water that the bottle can hold is 2251.77 cubic inches.
To know more about volume visit :
https://brainly.com/question/463363
#SPJ1
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.a/5=b/7 if b#0 what is the value of a/b
Answer:
A = 20
b = 28
Step-by-step explanation:
a = 20/5 = 4
b = 28/7 = 4
Find the circumference and area of a circle A with a diameter of 26 inches.
Please I need the answer ASAP. Thank you very much.
Answer:
Circumference: 81.681 in; Area: 530.929 in
Step-by-step explanation:
To find circumference we use the formula pi x diameter. Which in this case is pi x 26 in, or approximately 81.681 in.
For the area, we use pi x r^2. r = 1/2 d, so r = 13in. Therefore, the area is equal to 169 x pi in, which is about 530.929 in.
Please find the area of the compound figures. PLEASE AND THANKS :D
Answer:
1200
Step-by-step explanation:
3(5)+2(w-1)=
Cual es el valor de la expresión algebraica?
Answer:
distribute
2(w-1)
a(b-c)=ab-ac
(3)(5)+(2)(w)+(2)(−1)
=15+2w+−2
combine like terms
15+2w+−2
=(2w)+(15+−2)
=
2w+13Step-by-step explanation:
https://qcv.gg/rXpglU
Find an ordered pair (x,y) that is a solution to the equation.
5x+y=6
Answer:
(0,6) and (1.2 , 0)
Step-by-step explanation:
5x + y = 6
if we take x=0
5(0) + y = 6
y = 6 ; so, one of the solution is (0,6)
if we take y=0
5x + (0) = 6
5x = 6
x = 6/5 = 1.2 ; so, the other solution is (1.2 , 0)
But basically, you can find other solutions of the equation if you do this:
5x + y = 6
5x = (6 - y)
x = (6 - y) / 5 ; so if you use whatever number of y, you will find the rigth solution for x.
and you can do the opposite too:
5x + y = 6
y = 6 -5x ; with this, you can use whatever number of x, and find the right y.
I hope this helps you!!!
David averaged 12 points per game during his 7th grade basketball season. As a result of practicing all summer, he averaged 20 points per game during his 8th-grade season. By what percent did his average change?
Answer:
20-12=8 the answer is 8 I did the math
Answer:
8 is right
Step-by-step explanation:
because 20-12=8
14 + 3 [81 - (4x6)]
Please Show Your Work!
Answer:
185
Step-by-step explanation:
first multiply to get 14+3(81-24)
then calculate to get 14+3*57
multiply and get 14+171
the calculate to get your final answer which is 185
Answer:
969
Step-by-step explanation:
4x6+=24
81-24=57
14+3(57)
17(57)
969
PLEASE HELP I NEED TO FINISH THIS NOW!!!
Gethyn drinks 48 fluid ounces of water in one day. He needs to drink 8 cups in total. How many more cups does he need to drink? (4 points) Group of answer choices 2 cups 6 cups 384 cups 768 cups
Answer:
The answer is 6
Step-by-step explanation:
Since you have to divvied 40 to 8 witch gives you 6
Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms
Answer:
1090908 rooms
Step-by-step explanation:
calculator
Answer:
Robin can clean 9828 rooms in 9 days
Step-by-step explanation:
Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666
number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day
We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9
1092 rooms/day * 9 days = 9829 rooms
13 points Please help 8th grade math
Answer:
4.2
Step-by-step explanation:
Answer:
Volume of the sphere is 2065.24
I have no idea how to calculate the slope of that.
Step-by-step explanation:
3·π·7.93≈2065.23693
-0.5
0
1
-2
1.5
Where is Point D on the number line?
?
Answer:
Its -1.9 for where point D is
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
Which equation best represents the relationship
between x and y in the graph?
PLEASE FOR BRAINLSIT!!!!
if virginia's sales tax rate is 4.3%, what is the total cost of a $34 virgina tech t-shirt?
Answer:
35.46
Step-by-step explanation:
34 x 1.043=35.46
Will give brainliest!!
Two lines, A and B, are represented by the following equations:
Line A: 4x + 4y = 16
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
Group of answer choices
A) It is (1, 2).
B) It is (1, 5).
C) There are infinitely many solutions.
D) There is no solution.
Answer:
Infitite solutions (C)
Step-by-step explanation:
They are the same line.
What is the area of the triangle?
6 yd.
2 yd.
Answer:
12 yd.
Step-by-step explanation:
A skyscraper is 807 feet tall. Each floor is about 12 feet tall. About how many floors de building have? Select the correct answer below and fill in the answer box to complete your choice. OA. You need an estimate: 800-10 = floors OB. You need an exact answer, 807 - 12 = floors C. You need an estimate: 1000-20 = floors OD. You need an estimate: 500- 25 = floors.
Answer:
D
Step-by-step explanation:
807 divided by 12 = 67.25
5(x+8)
Help please!!!!!!!!!!!!!!!!!!
Answer:
5x+40
Step-by-step explanation:
You would distribute 5 to x+8 and that would add up to 5x+40.
Answer:
Step-by-step explanation:
5x+40
The number of bacteria in a petri dish triples every month, if the dish started with 25 bacteria, how many will there be an 8 months?
Answer:
600
Step-by-step explanation:
25x3 (per month) therefore it would be 75 times 8
Answer:
164025
Step-by-step explanation:
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the deck. Neither of the cards drawn so far are put back in the deck, and a third card is drawn at random from the remaining cards in the deck. What is the probability that the first card drawn is a spade, the second card drawn is a heart, and the third card drawn is a heart? Do not round your intermediate computations. Round your final answer to four decimal places.
Answer:
The probability of the given scenario occuring is about 0.0153.
Step-by-step explanation:
A standard deck contains 52 cards.
We want the first card to be a spade. In a standard deck, 13 out of the total 52 cards are spades.
So, the probability that the first card is a spade is 13/52 or simply 1/4.
Now, we will draw a second card without replacing the first card. Since we did not replace the first card, the total amount of cards in the deck is now 51.
This time, we want a heart. 13 cards of the remaining 51 will be hearts. So, the probability that the second card is a heart is 13/51.
Now that we've drawn two cards without replacing them, the total number of cards left is 50.
And since we've drawn (or would like to have drawn) a heart as our second card, the total number of cards that are hearts is now 12.
Then the probability of the third card being hearts will be 12/50 or 6/25.
Then the probability that our first card is a spades, second card is a heart, and the third and final card is also a heart without any replacements will be:
[tex]\displaystyle P(\text{spade, heart, heart})=\frac{1}{4}\cdot \frac{13}{51}\cdot \frac{6}{25}=\frac{13}{850}\approx0.0153[/tex]
The probability of the given scenario occuring is about 0.0153.
Dana bought 144 pencils for $8.64.which equation could be used to determine the cost of each pencil,x?
A.144/8.64=x
B.x/144=8.64
C.8.64-x=144
D.144x=8.64
Answer:
144x=8.64
This way you can divide by 144 to find how much each individual pencil costs
Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from the point on the ground where Dale is standing is 75 degrees to the top of Building A and 48 degrees to the top of Building B, how far apart are the buildings?
Answer:
The distance between the buildings is:
D = 413.3 ft
Step-by-step explanation:
Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.
One of the triangles, let's call it triangle A, has the catheti:
Distance between Dale and Building A = d1
Height of Building A = 464 ft
The other triangle (triangle B) has the catheti:
Distance between Dale and Building B = d2
Height of building B = 321ft
We want to find the distance between the buildings, which is equal to d1 + d2.
Then we want to find d1 and d2.
For triangle A:
We know that the angle at the vertex where Dale is standing, is 75°
Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.
Remember that:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
Then:
Tan(75°) = (464 ft)/(d1)
d1 = (464 ft)/(Tan(75°)) = 124.3 ft
Now for triangle B, the angle at the vertex where Dale is standing is 48°.
from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.
Then:
Tan(48°) = 321ft/d2
d2 = (321ft)/(Tan(48°)) = 289ft
Then the distance between the buildings is:
D = d1 + d2 = 124.3 ft + 289ft = 413.3 ft
Maria had 4 full cement blocks and one that was 5/9 the normal size if each full block weighed 3 8/9 pounds what is the weight of the blocks maria has
Answer:
17 and 58 over 81 pounds
Step-by-step explanation:
When you buy something with a credit card, which one of the following will usually save you money over the long run? A. Paying the entire amount owed each month B. Paying a small portion of the amount owed over a longer period of time C. Paying a small portion of the amount owed each month D. Paying the entire amount owed, but only every other month
Answer:
A. Paying the entire amount owed each month
Step-by-step explanation:
When we buy something with a credit card option C usually save you money over the long run.
What is credit card?A credit card represents a payment mechanism which facilitates both consumer and commercial business transactions, including purchases and cash advances. A credit card generally operates as a substitute for cash or a check and most often provides an unsecured revolving line of credit.
A. Paying the entire amount owed each month
This option is better when you don't have money and you have to manage it.
B. Paying a small portion of the amount owed over a longer period of time.
this option is not applicable
C. Paying a small portion of the amount owed each month.
This option gives more money savings if there is no interest.
D. Paying the entire amount owed, but only every other month.
This is also a money saving if there is no interest.
Thus when we buy something with a credit card option C usually save you money over the long run.
To know more about credit card click here
https://brainly.com/question/3685635
#SPJ2
if answer is correct brainliest
Tell whether each kind of angle is Right, Acute or Obtuse angle. Write your answer inside the box.
Answer:
1. Right Angle
2. Acute Angle
3. Acute Angle
4. Obtuse Angle
5. Right Angle
Step-by-step explanation:
Please mark as brainliest
PLEASE HELP ME !!
acellus : chords and arcs find the value of x
Answer:
8Step-by-step explanation:
since all the sides are equal then that means that x is going to equal 8.
ohn needs to serve some beer to a customer. At first he ordered 1 pint then he added 4 ounces more, then he decided to add 1/4 tablespoons more. John only has measuring cups which got him a bit confused. How many cups he needs to serve the customer to make it up to his order?
Answer:
the answer to this question 2 cups
Step-by-step explanation:
2 cups is equal to a pint