convert 372 in Quinary number
372₁₀ = 2442₅
Step-by-step explanation:372 : 5 = 74 r 2
74 : 5 = 14 r 4
14 : 5 = 2 r 4
2 : 5 = 0 r 2 ↑
write down the remainders in the reverse order
372₁₀ = 2442₅
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces? (the answer is NOT 61 or 62.)
Answer:
x=61.71428 or 61 5/7
Step-by-step explanation:
We can use a ratio to solve
7 pieces 12 pieces
----------------- = ---------------
36 seconds x seconds
Using cross products
7x = 36*12
7x = 432
Divide by 7
7x/7 = 432/7
61 5/7
x=61.71428
Answer:
66
Step-by-step explanation:
PLEASE HELP OMG PLEASE!!!!!!!!!!!! A football player weighed 170 pounds in May. During the summer, he gained 25 pounds. During the first week of fall practice, he lost 10 pounds, and during the second week, he lost another 3 pounds. How much did he weigh at that point? PLEASE HELP THIS IS A TEST
Answer: 182 pounds.
Step-by-step explanation:
170+25= 195 195-10=185 185-3=182
Answer:
182 pounds
Step-by-step explanation:
170+25=195
195-10= 185
185-3=182
What’s the length of the hypotenuse in inches?
Answer:
The hypotenuse is 25 inches.
Step-by-step explanation:
This is a right triangle, so the Pythagorean Theorem applies.
I will assume you know about the Pythagorean Theorem, therefore I will not define it.
Here, I am solving for the hypotenuse.
\(a^2+b^2=c^2\)
\(24^2+7^2=c^2\)
\(576+49=c^2\)
\(625 = c^2\)
\(25=c\)
Answer:
25
Step-by-step explanation:
To find the hypotenuse, you need to use a^2+b^2=c^2
Plugging the numbers in, the equation is
24^2+7^2=c^2
From here, you can just solve the equation, simplifying it equals
576+49=c^2
Add the two values
625=c^2
from here, you would square both sides to get c standing alone. This results in the equation finishing with the answer:
25=c
or flipping it around to make sence
c=25
Hope this helps! Have a good rest of your day!!!
f(x)=−1/2(x−2)^2 −4 Graph it
Answer:
Step-by-step explanation:
Found this when searching on the internet. Hope it helps... Maybe???
Betrys is making a vegetable stew for 8 people.
A recipe for 2 people indicates that 10 ounces of diced potatoes are needed.
The scale below shows how much diced potatoes she has already prepared.
Betrys knows that 1 ounce is approximately 28 grams.
Work out how many more grams of diced potatoes she
needs to make her vegetable stew for 8 people?
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
How many more grams of diced potatoes she needs to make her vegetable stew for 8 people?
We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.
8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.
Now we can apply a change of units, remember that:
1 oz = 28 grams
Then the total amount she needs is:
40 oz = 40*28 g = 1,120 g
So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:
1,120 g - 720g = 400
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
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5. Find the slope of the line that passes through (−6,5) and (-2,-4). Show your work and steps by starting with the usual m = to signal you're finding a slope. Show your work and steps. Write your f
The slope of the line passing through the points (-6, 5) and (-2, -4) is -9/4.
To find the slope of the line passing through the points (-6, 5) and (-2, -4), we can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Given that the coordinates are:
Point 1: (-6, 5)
Point 2: (-2, -4)
We can substitute the values into the slope formula:
m = (-4 - 5) / (-2 - (-6))
m = (-4 - 5) / (-2 + 6)
m = (-9) / 4
The slope of the line passing through the points (-6, 5) and (-2, -4) is -9/4.
So, the final answer is: The slope of the line is -9/4.
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which of these statements about a normally distributed data set is true? a.) the smaller the standard deviation, the less concentrated the data will be. b.) the concentration of the data set is not related to the standard deviation. c.) the smaller the standard deviation, the more concentrated the data will be. d.) the greater the standard deviation, the more concentrated the data will be.
The Statement which is true is (c) the smaller the standard deviation, the more concentrated the data will be.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.
The smallest possible value for the standard deviation is 0, and that happens only in contrived situations where every single number in the data set is exactly the same
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PLEASE HELP ME ASAP I WILL GIVE 100 points and name you know
PLEASSSSSSSSSSSSSSSSSSEEEEEEEEEEEEEEEEEEEE
How are human activities affecting global warming?
Answer:
Human activities such as driving cars, and working at factories contribute to global warming significantly because burning fossil fuels in cars releases carbon dioxide, which is the largest source of greenhouse gas emissions in the U.S. and as these gases build up, they trap heat in the atmosphere, causing climate change.
AandBhave coordinates (-1,1.5) and (3,2).
Tangents to the curve have been drawn at A and B.
Calculate the gradient of the curve at A and at B.
A charged particle moves along a straight line in a uniform electric field E with a speed v. If the motion and the electric field are both in the x direction, (a) show that the magnitude of the acceleration of the charge q is given by a= dtdv= mqE(1− c 2v 2) 3/2(b) Discuss the significance of the dependence of the acceleration on the speed. (c) If the particle starts from rest at x=0 at t=0, find the speed of the particle and its position after a time t has elapsed. Comment on the limiting values of v and x as t→[infinity].
The magnitude of the acceleration of the charge q moving in a uniform electric field E in the x direction with speed v is given by a = dtdv = mqE (1 − c2v2)3/2.
The significance of this dependence of the acceleration on the speed is that when the particle moves faster, the magnitude of the acceleration decreases. As the speed increases, the kinetic energy of the particle increases, and this energy is being taken away from the electric field, so the acceleration decreases.
If the particle starts from rest at x = 0 at t = 0, the speed of the particle after a time t has elapsed is v = cEt/m and the position of the particle after the same amount of time is x = (1/2)ct2E/m. The limiting values of v and x as t → ∞ are v → ∞ and x → ∞ respectively.
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3. What is the variance of the following set of data?
4, 44, 404, 244, 4, 74, 84, 64
Use 82 =
Σ(x₁ - x)²
(N-1)
O139
O130
O19,298
16,886
Answer:
16,886
Step-by-step explanation:
The last answer! Pls mark me brainly!
What transformation maps triangle A'B'C' to triangle
A"B"C"? Be specific.
Answer: shift and reflection
Step-by-step explanation:
because reflection, it is flipped over the x axis,but it isn't in the same place. so you then shifted it
in your taining routine each week you bike five times as far as you run and you run four times as far as you swim. you train a total of 200 miles each week. how far do you bike? how far do you run? how far do you swim?
Train a total of 200 miles each week. 160 miles I bike, 32 miles I run, 8 miles I swim.
What do you mean by Simultaneous linear equations?
A system of simultaneous linear equations is any pair of linear equations or more that have the same unknown variables in common. To solve such a system, one must identify values for the unknown variables that simultaneously satisfy each of the equations. A system of simultaneous linear equations is any pair or group of linear equations where each equation has the same unknown variables. Finding values for the unknown variables that simultaneously satisfy each equation in such a system is the first step in its solution.
according to the question,
you bike five times as far as I run and you run four times as far as iswim. you train a total of 200 miles each week.
let, I swim x miles then I run 4x times and I bike 20x miles.
so, 4x+x+20x=200
by solving linear equations,
we get, x=8
hence,160 miles I bike.
32 miles I run.
8 miles I swim.
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us
Write the slope of DB.
C (a+b, c)
B (b,c)
.
A|(0, 0) D (a,0)
Enter the value that
belongs in the green box.
Slope Formula: Y
[?]
GE
XX
Enter
Answer: C/A+B
Step-by-step explanation:
i’m doing this course on acellus rn too
2cos\(2cos^{2} x-3cosx+1=0\)
Answer:
34
Step-by-step explanation:
A calculator is broken so that the only keys that still work are the sin, cos, tan, cot, sin^-1, cos^-1, and tan^-1 buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that pressing some finite sequence of buttons will yield q. (Assume that the calculator does real number calculations with infinite precision. All functions are in terms of radians.)
(a) Find a sequence of buttons that will transform x into 1/x.
(b) Find a sequence of buttons that will transform sqrt(x) into sqrt(x+1).
A calculator is broken so that the only keys that still work are the \sin, \cos, \tan, \cot, \sin^{-1}, \cos^{-1}, and \tan^{-1} buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that pressing some finite sequence of buttons will yield q. (Assume that the calculator does real number calculations with infinite precision. All functions are in terms of radians.)
(a) Find a sequence of buttons that will transform x into \frac{1}{x}.
(b) Find a sequence of buttons that will transform \sqrt x into \sqrt{x+1}.
(c) Now show that you can get any positive rational number.
Trigonometric relations can be used to transform p to q.
To transform x into 1/x, you can press the following sequence of buttons:
1. Press the sin button.
2. Press the cos^-1 button.
3. Press the tan button.
To transform \(\sqrt[2]{x}\) to \(\sqrt[2]{x+1}\), you can press the following sequence of buttons:
1. Press the sin^-1 button.
2. Press the cos button.
3. Press the tan button.
To show that you can get any positive rational number, you can use the fact that any positive rational number can be expressed as a ratio of two positive integers, say p and q. Then, you can press the following sequence of buttons:
1. Press the sin button q times.
2. Press the cos button p times.
3. Press the tan button.
By pressing this sequence of buttons, the calculator will display the desired positive rational number q.
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Help me please.......
You work for the National Weather Service and are asked to study the average daily temperatures in Anchorage, Alaska. You calculate the mean of the average daily temperatures for each month. You decide to place the information on a graph in which the date is the input and the temperature is the output. You also decide that January 1950 will correspond to the month 0 as indicated by the dot on the input scale. On a coordinate plane, quadrants 1, 2, 3, and 4 are labeled. Month is on the x-axis and degrees Fahrenheit is on the y-axis. Determine the quadrant in which you would plot the points that correspond to the following data: The average daily temperature for July 1910 was 71 degreesF. A. Quadrant III b. Quadrant IV c. Quadrant II d. Quadrant I
The correct answer is c. Quadrant II.To plot the point for July 1910, we need to determine the month number for July 1910. Since January 1950 corresponds to the month 0, we need to count the number of months from January 1950 to July 1910.
There are 40 years between January 1950 and July 1990, which is 480 months. July 1910 is 40 years before January 1950, which is another 480 months. So, the month number for July 1910 is -480.
The temperature of 71 degrees Fahrenheit is positive, so the point will be in either Quadrant I or Quadrant II. However, since the month number is negative, the point will be to the left of the y-axis. Therefore, the point will be in Quadrant II.
So, the correct answer is c. Quadrant II.
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What are the 3 types of rigid transformations?
Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.
A rigid transformation, also called isometry, is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:
1. Reflection
→ is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.
The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.
2. Rotation
→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.
The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.
3. Translation
→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right), or vertical reflections (make a figure up or down).
Vertical translation is shifting the graph along \(y-\) axis
Horizontal translation is shifting the graph along \(x-\) axis.
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What is the solution to the following system of equations
4x+2y=6
X-y=3
Answer:
The solution of the equation 4x + 2y = 6 and x − y = 3 will be D. (2, –1)
Step-by-step explanation:
4x + 2y = 6 ....… (1)
x − y = 3 …..... (2)
Example, for equation 2 is:
x - y = 3
x = 3 + y
Put in equation 1:
4(y + 3) + 2y = 6
4y + 12 + 2y = 6
6y = -6
y = -6/6
y = -1
We have the value of y, then the value of x will be:
x = 3 + y
= 3 + (-1)
= 3 - 1
= 2
So, the solution of the equation 4x + 2y = 6 and x − y = 3 will be (2, –1)
PLEASE ANSWER!!! I WILL MAKE BRAINLEYISTThe box plots show the weights, in pounds, of animals at two different zoos. Animals in City Zoo 2 box plots. The number line goes from 120 to 170. For Animals in City Zoo, the whiskers range from 120 to 160, and the box ranges from 135 to 145. A line divides the box at 140. For Animals in Country Zoo, the whiskers range from 125 to 165, and the box ranges from 145 to 160. A line divides the box at 150. Animals in Country Zoo What is the difference between the median weights of the animals in City Zoo and in Country Zoo, in pounds? 2 5 10 15
Answer:
it 10 did the exam review
Step-by-step explanation:
Answer:
i am 100% sure the answer is 10
Step-by-step explanation:
The diagram shows a triangle.
What is the value of v?
The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3. Find the measure of the complement.A)54 B)90 C)144 D)36 E) none of the abovePlease explain in detail
The measure of the complement of the angle is A) 54.
Given:
The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.
Let x be the angle.
supplement of the angle of x is = 180-x
complement of the angle of x is = 90 -x
180 - x / 90 -x = 8/3
3(180-x) = 8(90-x)
3*180 - 3*x = 8*90 - 8*x
540 - 3x = 720 - 8x
-3x+8x = 720 - 540
5x = 180
divide by 5 on both sides
x = 180/5
x = 36
Complement of the angle = 90 - 36
= 54
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If a fair coin is tossed 4 times, what is the probability, rounded to the nearest thousandth, of getting at least 2 tails?
Answer:
You flip a coin 4 times, with 2 possibilities every flip, heads or tails. So, every time you throw there's a 50% chance you'll throw tails. so it would be 1/2
The probability of getting at least 2 tails is 0.688.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Given that, a fair coin is tossed 4 times.
So, sample space is
S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}
Now, total number of outcomes =16
Number of favorable outcomes = 11
Probability =11/16
= 0.6875
≈ 0.688
Therefore, the probability of an event is 0.688.
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General MathematicsProblem:Mr. Tan purchased 1,000 shares of stocks at ₱30 par value. How much is his dividend if the percentage declared by the company is 1.5%?
Given that the total number of shares is 1000 at P30 per value. The total amount of all the shares is
\(A_{\text{share}}=1000\times P30=P30,000\)If the company declared 1.5% percentage, the dividend would be
\(\begin{gathered} 1.5\text{ \%of P30,000} \\ =\frac{1.5}{100}\times P30,000 \\ =\frac{P45,000}{100} \\ =P450 \end{gathered}\)Hence, the value of the dividend is P450
Apples from a grower’s crop in 2006 were normally distributed with mean 173 grams and standard deviation of 34 grams. Apples weighing less than 130 grams were too small to sell.
Find the proportion of apples from this crop which were too small to sell.
Find the probability that in a picker’s basket of 100 apples, up to 10 apples were too small to sell .
P(X ≤ 10) represents the probability that up to 10 apples in a basket of 100 are too small to sell.
To find the proportion of apples from the 2006 crop that were too small to sell, we need to calculate the probability that an apple weighs less than 130 grams. We can do this by using the standard normal distribution.
Proportion of apples too small to sell:
Let X be the weight of an apple from the crop. We are given that X follows a normal distribution with a mean of 173 grams and a standard deviation of 34 grams.
To find the proportion of apples weighing less than 130 grams, we need to calculate the cumulative distribution function (CDF) of the standard normal distribution up to the z-score corresponding to 130 grams.
First, we need to standardize the value of 130 grams using the formula:
z = (X - μ) / σ
where X is the value (130 grams), μ is the mean (173 grams), and σ is the standard deviation (34 grams).
z = (130 - 173) / 34 = -43 / 34 ≈ -1.2647
Using a standard normal distribution table or a calculator, we can find the CDF corresponding to this z-score. The CDF represents the proportion of values less than -1.2647 in the standard normal distribution.
Let P(Z < -1.2647) = p
The proportion of apples from the 2006 crop that were too small to sell is approximately p.
Probability of up to 10 apples too small to sell in a basket of 100 apples:
We can use the binomial distribution to calculate the probability of up to 10 apples being too small to sell in a basket of 100 apples.
Let X be the number of apples too small to sell in a basket of 100. The probability of a single apple being too small is p, as calculated in the previous step.
Using the binomial distribution formula, we can calculate the probability of X being less than or equal to 10:
P(X ≤ 10) = Σ (n choose x) * p^x * (1 - p)^(n - x)
where n is the number of trials (100), x is the number of successes (up to 10), and p is the probability of success (as calculated earlier).
This involves summing the probabilities for x = 0, 1, 2, ..., 10.
By calculating this probability, we can determine the likelihood of encountering up to 10 undersized apples in a picker's basket of 100 apples.
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HELPPPPPPPPPPPP
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
What domain makes sense for the function in this context?
A. all positive numbers
B. 0 ≤ t ≤ 5
C. all real numbers
D. 0 ≤ t ≤ 100
Answer:
B. 0 ≤ t ≤ 5Step-by-step explanation:
The function is g(t) = -16t² + vt + h
At h = 0 and v = 80 we get the function:
g(t) = -16t² + 80tWe know g(t) can't be negative, then:
-16t² + 80t ≥0t² - 5t ≤ 0t(t - 5) ≤ 5t ≥0 and t ≤ 5, or0 ≤ t ≤ 5Correct option is B
which of the following is the midpoint riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width?
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.
The formula for the midpoint Riemann sum is given by:
Sum = (width of interval) * (height of midpoint)
For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:
Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)
Substituting the values for each midpoint, we get the following equation:
Sum = 4 * (1 + 4^3 + 8^3 + 12^3)
This simplifies to:
Sum = 4 * (1 + 64 + 512 + 1728)
Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:
Sum = 4 * (2495)
Sum = 9980
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which factors will influence the margin of error when the population standard deviation is unknown? check all that apply.
We need to know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.
Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.
Therefore the margin of error is influenced by confidence level and sample size.
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