Answer:
1/(810pi) cm/s
Step-by-step explanation:
V = pi×r²×h = pi×90²×h = 8100pi×h
dh/dt = dh/dV × dV/dt
dV/dh = 8100pi
dV/dt = 10
dh/dt = (1/8100pi) × 10
= 1/(810pi) cm/s
What is 40% of 35 I NEEEED TO NOOOO
Answer:
14
Step-by-step explanation:
%40 * 35 is same as 0.4 * 35
14
Answer: 14
Answer:
14
Step-by-step explanation:
The answer to the question
Answer:
Step-by-step explanation:
NIPO
Which is true about the degree of the sum and difference of the polynomials 3xy - 2xy4 - 7xy and -8xy + 2x°y4 + xy?
O Both the sum and difference have a degree of 6.
O Both the sum and difference have a degree of 7.
The sum has a degree of 6, but the difference has a degree of 7.
The sum has a degree of 7, but the difference has a degree of 6.
Answer:
It's C I just did it
Step-by-step explanation:
The degree of the sum and difference of the polynomials are 6 and 7 respectively.
The degree of the sum and difference of the polynomials.
3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³
The degree of sum = monomial with the highest power = 5 + 1 = 6
The degree of difference = monomial with the highest power = 3 + 4 = 7
Therefore, the degree of the sum and difference of the polynomials are 6 and 7 respectively.
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9.0758 to 2 significant figures.
Answer w/ explanation:
The answer is 9.1
To round to 2 significant figures, we have to find the first significant figure. We find the first sig fig by looking for the first nonzero digit in the number (it can be before or after the decimal point), which is "9"
The next digit is "0". This will also be a significant figure in our answer.
It may seem we are done now since we found the two significant figures. However, let's look at the digit after "0" to see if we need to round up or down.
The digit after "0" is "7". Since 7 is greater than 5, we round up the "0" to a "1" in our final answer, making the answer 9.1
Side note:
The definition and concept of significant figures can be very confusing overall, so please continue to ask questions if you are still struggling with them.
Let me know if you need any clarifications, thanks!
~ Padoru
A number 9.0758 to 2 significant figures is, 9.1
We have to give that,
A number is,
⇒ 9.0758
Since There are 5 significant numbers.
Hence, A number 9.0758 to 2 significant figures is,
⇒ 9.0758
Since 7 is greater than 5.
Hence,
9.0758 ≈ 9.1
So, The solution is, 9.1
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If one measurement of a golden rectangle is 5.7 inches, what is the other measurement?
The other measurement of the golden rectangle is approximately 9.1 inches.
A golden rectangle is defined by the property that the ratio of its length to its width is equal to the golden ratio, which is approximately 1.61803398875. This ratio is often denoted by the Greek letter phi (φ).
Given that one measurement of the golden rectangle is 5.7 inches, we can denote this as the width, w. To find the length, l, we use the golden ratio formula:
[tex]\[ l = w \times \phi \][/tex]
Substituting the given width and the value of φ:
[tex]\[ l = 5.7 \text{ inches} \times 1.61803398875 \][/tex]
[tex]\[ l \approx 9.1 \text{ inches} \][/tex]
Therefore, the other measurement of the golden rectangle, which is the length, is approximately 9.1 inches.
There are 5,280 feet in one mile. How many feet are in 6 miles?
Answer:
31,680 feet
Step-by-step explanation
5280*6
Answer: 31, 680 feet
Step-by-step explanation:
If 5280 feet = 1mile
x = 6 miles
Step 1: cross multiply the equation to the the value of x
x= 5280 × 6
=31,680 feet
If I have 30 vegetables and 2 of the vegetables are beans. What percentage of vegetables are beans
Answer:
6%
Step-by-step explanation:
.02 times 30
.6=6%
please help me again
Answer:
AC=96 units
Step-by-step explanation:
x^2 - 16 = 6x
x^2 - 6x - 16 = 0
(x - 8)(x + 2) = 0
x - 8 + 8 = 0 + 8
x = 8 WORKS
x + 2 - 2 = 0 - 2
x = -2 CANT WORK BECAUSE IS NEG
CE = 6(8)
48
AC = AE + CE
AC = 48 + 48
AC = 96
Answer: AC = 96
3.
Fred is making a fruit salad. The ratio
of cups of peaches to cups of cherries
is 2 to 3. How many cups of peaches
will Fred need to make 60 cups of
fruit salad?
Answer:
24 cups
Step-by-step explanation:
Peaches to Cherries is given as 2 to 3
We can think of this as "parts". So total parts in the salad would be:
Total Part = 2 + 3 = 5 parts
So, now we need cups of peaches to cups of TOTAL
The ratio would be:
2 : 5
The total would be 60 cups
We let total cup of peaches be x
So we can write the ratio:
[tex]\frac{2}{5}=\frac{x}{60}[/tex]
Now, we cross multiply and solve for x:
[tex]\frac{2}{5}=\frac{x}{60}\\5x=2*60\\5x=120\\x=24[/tex]
Fred will need 24 cups of peaches
ƒ(x) = -2x + 3?
(-1, ___)
Answer:
(-1, 5)
Step-by-step explanation:
When f(x) = f(-1)
f(-1) = -2(-1) + 3
f(-1) = 2 + 3
f(-1) = 5
-1 is x
5 is y
(-1, 5)
Answer: (-1, 5)
Answer:
(-1,5)
Step-by-step explanation:
x=-1 then
f(-1)=-2*(-1)+3=2+3=5
Determine the area of the composite figure to the nearest whole number.
A) 563 in2
B) 680 in2
C) 776 in2
D) 1,030 in2
And I want an explanation
Answer:
B
Step-by-step explanation:
Let’s review our area formulas first:
Area of rectangle: l*w
Area of quarter circle:(pi*r^2)/4
Area of triangle:(b*h)/2
What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!
So
Rectangle=11.1(length)*21.1(width)
Rectangle=234.21
Quarter circle=(pi*(21.1)^2)/4
Quarter circle= 349.667116326
Triangle:(9.1*21.1)/2
Triangle=96.005
So
96.005+234.21+ 349.667116326=679.8821(round up to 680)
Hope this helps!
How do I find side length x and would I use sin cos or tan
Check the picture below.
Make sure your calculator is in Degree mode.
Can diagonal of a parallelogram be congruent to one of its sides?
Answer: Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.
Answer:
is that a yes
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Giselle is building a small baseball infield for her brother. The infield should be in the shape of a square. Each side of the infield,
between bases, measures 30 feet. The distance between home plate and second base, as shown in the picture, is 45 feet.
Which best describes the shape of the baseball field?
Answer:
Step-by-step explanation:
B
for a square diagonal is found by using pythagoras theorem.
(30)²+30²=900+900=1800≠45²
The best describes the shape of the baseball field would be; B Not square (30)² + 30² ≠45².
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Giselle is building a small baseball infield for her brother.
The infield should be in the shape of a square.
Each side of the infield, between bases, measures 30 feet.
The distance between home plate and second base, as shown in the picture, is 45 feet.
A square diagonal can be calculated by using the Pythagoras theorem.
|AC|^2 = |AB|^2 + |BC|^2
= (30)² + 30²
= 900 + 900
= 1800
≠45²
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Find the distance between (1,0) and (9, 15).
Distance =
Answer:
d = 17
Step-by-step explanation:
d = √ (9 − 1) 2 + (15− 0)^2
d = √ (8) ^2 + (15) ^2
d = √ 64 + 225
d = √289
d = 17
Answer:
17
Step-by-step explanation:
i got it right on a quiz
The two pentagons are similar. Find the value of x. Enter your answer in the box.
Melissa's family is on vacation.they spend $125 per day on food and entertainment.they have a budgeted only up to $750 for food and entertainment.how many days of vacation can they afford
Melissa's family can afford 6 days of vacation.
Reason:
You need to divide the budget by the money they spend everyday.
$750 ÷ $125 = 6 days that the family can afford to pay for vacation.
Hope this helps you!
What is the midpoint of EC?
Answer:
The correct answer is first option
(t + p, r)
Step-by-step explanation:
Points to remember
midpoint formula
Length of a line segment with endpoints (x1, y1) and (x2, y2) is given by,
Midpoint= [(x2 + x1)/2 , (y2 + y1)/2]
To find the midpoint of EC
Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)
Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]
= (2(t + p)/2 , 2r/2)
= (t + p, r)
Therefore midpoint of EC = (t + p, r)
The correct answer is first option
The family size bottle of sunscreen holds 12 fluid ounces of sun screen .The regular bottle holds 75%
Answer:
3!!!!!!!!!!
Step-by-step explanation:
Please just believe me
Select all the statements that correctly describe the solutions to this system of equations?
2x-y= 0
x+y=9
x + y = 9
x = 9 - y
2x - y = 0
2(9 - y) - y = 0
18 - 2y - y = 0
-3y = -18
y = 6
x = 9 - y
x = 9 - 6
x = 3
The value of x and y are 3 and 3 respectively in the given system of equations.
A system of equations is a set of two or further equations that own an identical set of unknowns. The thing of solving a system of equations is to determine the values for the unknowns that quench all of the equations in the system.
It is given that the system of equations is,
2x - y = 0
x + y = 9
Now, from the first equation, we get
y = 2x
On putting the above value of y in the second equation, we get
x + 2x = 9,
3x = 9,
x = [tex]\frac{9}{3}[/tex]
x = 3.
Now putting this value of x in the first equation, we get
2 [tex]\times[/tex] 3 + y = 9
6 + y = 9
y = 9 - 6
y = 3.
So, x = 3 and y = 3 in the above system of equations.
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41% adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Answer:
Step-by-step explanation:
41%
(a) P(X = 3) ≈ 0.2687
(b) P(X ≥ 4) ≈ 0.9852
(c) P(X < 8) ≈ 0.9998
These probabilities were calculated using the binomial probability formula for a 41% favorability rate and 12 trials.
To find the probability in this scenario, we can use the binomial probability formula. Let's break down each part of the question:
(a) To find the probability that exactly three out of twelve U.S. adults favor the use of unmanned drones, we can use the binomial probability formula:
P(X = k) = (n choose k) ×[tex]p^k[/tex] ×[tex](1-p)^(n-k)[/tex]
Where:
n is the number of trials (12 in this case).
k is the specific number of successes we're interested in (3 in this case).
p is the probability of success (41% or 0.41 in decimal form).
P(X = 3) = (12 choose 3) × [tex](0.41^3)[/tex] × [tex](0.59^9)[/tex]
Calculate this using a binomial calculator or software to find the exact probability.
(b) To find the probability that at least four out of twelve U.S. adults favor the use of drones, we need to calculate the complementary probability of having fewer than four favoring drones and subtract it from 1:
P(X ≥ 4) = 1 - [P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)]
(c) To find the probability that less than eight out of twelve U.S. adults favor the use of drones, calculate:
P(X < 8) = P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 7)
You can compute these probabilities using a binomial calculator or statistical software to get the precise answers.
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A group of construction workers were able to lay 27 bricks in an hour on a new house. This was 30% of the total number of bricks laid that day. What was the total number of bricks laid that day?
A total of 90 bricks were laid that day.
Step-by-step explanation:
Given,
Number of bricks laid in one hour = 27
This represents 30% of total bricks laid that day.
Let,
x be the total number of bricks laid that day.
30% of x = 27
[tex]\frac{30}{100}*x=27\\0.3x=27[/tex]
Dividing both sides by 0.3
[tex]\frac{0.3x}{0.3}=\frac{27}{0.3}\\x=90[/tex]
A total of 90 bricks were laid that day.
There are 27 girls and 36 boys who want to participate in a math competition. If each team must have the same ratio of girls and boys what’s the greatest number of teams that can enter?
Since the ratio of girls and boys must be the same in each team, and all the competitors must be involved, it means that each team's ratio of boys : girls must be equal to the total ratio of Boys : Girls = 36 :27= 4 / 3.
Now 4 / 3, the most simplified version of 36 / 27, happens by dividing the numerator & demoninator by 9 (the greatest number it can divide by). So the greatest number will be 9 teams, each of 4 Boys & 3 Girls
Answer:
4 Boys & 3 Girls
Step-by-step explanation:
Ivanna is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is Fun she sells. Suppose that x and
y are related by the equation 2400+120x = y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.
What is the change in Ivanna's total pay for each copy of History is Fun she sells?
$
What is Ivanna's total pay if she doesn't sell any copies of History is Fun?
1. For every extra copy, Ivanna sells she gets an additional 120 dollars (+$120) and for every less copy she loses $120 dollars (-$120).
2. Ivanna's total pay is $2,400 if she doesn't sell any copies of History is Fun.
Step-by-step explanation:
Step 1:
y = 2,400 + 120x, where y is Ivanna's total pay and x is the number of copies of history is fun she sells.
To calculate the change is Ivanna's pay we find the difference in pay for two consecutive values of y.
We must calculate y when x is of consecutive values i.e. 1, 2, 3, 4 ...
Step 2:
We calculate the value of y when x = 1, 2 and 3.
When x = 1, y = 2,400 + 120 (1) = 2,400 + 120 = $2,520.
When x = 2, y = 2,400 + 120 (2) = 2,400 + 240 = $2,640.
When x = 3, y = 2,400 + 120 (3) = 2,400 + 360 = $2,760.
Step 3:
To calculate the increase in her pay for a copy, we subtract y when x = 2 from y when x = 3.
(y when x = 3) - (y when x = 2) = $2,760 - $2,640 = $120.
So for every extra copy, Ivanna gets an extra $120.
To calculate the decrease in her pay for a copy, we subtract y when x = 3 from y when x = 2.
(y when x = 2) - (y when x = 3) = $2,640 - $2,760 = -$120.
So for every less copy, Ivanna loses $120.
Step 4:
To calculate her pay when she doesn't sell any copies of history is fun, we substitute the value of x as 0 in y.
When x = 0, y = 2,400 + 120 (0) = $2,400.
So Ivanna earns $2,400 if she doesn't sell any copies of history is fun.
Write the number 3.636408 to the nearest ten-thousandth
A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. The number 3.636408 to the nearest ten-thousandth will be 3.636.
What is a number line?A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.
The given decimal number 3.636408 can be written to the nearest ten-thousandth with the help of a number line. The two of the closest number to 3.636408 are 3.636 and 3.637.
Now, as it can be observed that the distance between 3.636408 and 3.636 is less than 3.636408 and 3.637.
Therefore, the number 3.636408 to the nearest ten-thousandth will be 3.636.
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(4x^-3 y^5 z^-2)(2^-1 x^-1 y^-2)
Answer:
[tex]\frac{2y^{3} }{x^{4}z^{2} }[/tex]
Step-by-step explanation:
Simplify the expression until you get the given answer.
Hopefully this helps you out~
Convert the mass 21mg=___g
Answer:
0.021g
Step-by-step explanation:
-(v + 7) -3 = -26 + v
Answer:
v = 8
Step-by-step explanation:
-v -7-3 = -26+v
2v = -10+26
2v = 16
v = 8
how to solve
Y+2=4
Y-2=8
Answer:
First question -> y = 2
Second question -> y = 10
Step-by-step explanation:
Step 1: Solve y + 2 = 4
Subtract 2 from both sides
y + 2 - 2 = 4 - 2
y = 2
Step 2: Solve y - 2 = 8
Add 2 to both sides
y - 2 + 2 = 8 + 2
y = 10
Answer: First question -> y = 2
Second question -> y = 10
One cubic foot of sand weighs about 90 pounds. Approximate the weight of the cone-shaped pile of sand. Round your answer to the nearest hundred pounds. Please show your work too, thank you. :)
Answer:
3485.63 pounds
Step-by-step explanation:
For cone shaped sand:
Height (h) = 3.5 ft
Diameter (d) = 6.5 ft
Therefore, radius (r) = 6.5/2= 3.25 ft
[tex]volume \: of \: sand \\ = \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times \frac{22}{7} \times {(3.25)}^{2} \times 3.5\\ \\ = \frac{1}{3} \times 22 \times 10.5625 \times 0.5\\ \\ = \frac{1}{3} \times 11 \times 10.5625 \\ \\ = \frac{1}{3} \times 116.1875 \\ \\ = 38.7291667 \: {ft}^{3} \\ \\ \because \: 1 \: {ft}^{3} = 90 \: pounds \\ \\ \therefore \: 38.7291667 \: {ft}^{3} \\ = 38.7291667 \times 90 \ \\ = 3,485.625 \: pound \\ \approx \: 3485.63 \: pounds[/tex]
Hence, weight of sand is 3485.63 pounds.