Answer:
V = 3591.4 cm³
Step-by-step explanation:
Volume of Sphere = \(\frac{4}{3} \pi r^3\)
Where r = 9.5 cm
V = \(\frac{4}{3} (3.14)(9.5)^3\)
V = \(\frac{4}{3} (3.14)(857.4)\)
V = \(\frac{10774}{3}\)
V = 3591.4 cm³
Answer:
\(3591.4{cm}^{3} \)
Step-by-step explanation:
\(v = \frac{4}{3} \pi {r}^{ 3} \\ = \frac{4}{3} \times \pi \times 9.5 \times 9.5 \times 9.5 \\ = 3591.4 \\ \)
a set of 10 coins may contain any combination of pennies, nickles, dimes, quarters, or half-dollars. in how many different ways can the set of 10 coins have a total value of 59c?
There are 46 different ways in which a set of 10 coins can have a total value of 59 cents.
To find the number of different ways, we can use a systematic approach. Let's consider the five types of coins: pennies (1 cent), nickels (5 cents), dimes (10 cents), quarters (25 cents), and half-dollars (50 cents).
Since we need a total value of 59 cents, we can start by using as many half-dollars as possible. The maximum number of half-dollars that can be used is one since two half-dollars would already exceed the required total.
Next, we can iterate through the remaining values and combinations of the remaining coins (quarters, dimes, nickels, and pennies) to find all possible ways to reach 59 cents. We can use nested loops to generate all the combinations. By trying different combinations, we find that there are 46 different ways to achieve a total value of 59 cents using 10 coins.
There are 46 different ways in which a set of 10 coins can have a total value of 59 cents. This calculation takes into account all possible combinations of pennies, nickels, dimes, quarters, and half-dollars.
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The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
do all square numbers have an odd number of factors
No, not all square numbers have an odd number of factors. In fact, square numbers can have either an odd or an even number of factors, depending on their prime factorization.
A square number is a number that can be expressed as the product of an integer multiplied by itself. For example, 4 is a square number because it can be written as 2 * 2.
When we analyze the factors of a square number, we find that each factor has a corresponding pair that multiplies to give the square number. For instance, the factors of 4 are 1, 2, and 4. We can see that the pairs are (1, 4) and (2, 2). Thus, 4 has an even number of factors.
However, there are square numbers that have an odd number of factors. Consider the square number 9, which is equal to 3 * 3. The factors of 9 are 1, 3, and 9. In this case, 9 has an odd number of factors.
In conclusion, while some square numbers have an odd number of factors (like 9), others have an even number of factors (like 4). The determining factor is the prime factorization of the square number.
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The tree in your friend's yard casts a shadow that is 27 feet long. Your friend is 5 feet tall and casts a shadow that is 4. 5 feet long. What is the height of the tree?
By using unitary method, it can be calculated that Height of the tree is 30 feet
What is unitary method?
Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity
Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.
This is a problem on unitary method
A shadow of 4.5 feet long is casted by my friend 5 feet tall
A shadow of 1 feet is casted by an object of height \(\frac{5}{4.5} \ feet\)
A shadow of 27 feet is casted by a tree of height \(\frac{5}{4.5}\times 27 \ feet\)
A shadow of 27 feet is casted by a tree of height 30 feet
Height of the tree is 30 feet
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A movie theater holds 785 people. The theater has already sold 219 tickets. How many more tickets can be sold
Answer:
566
Step-by-step explanation:
785-219=566
A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1,8.1).
The claim supported by the confidence interval is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
What is the confidence interval?The 95% confidence interval for the difference(southern - northern) is given by:
(7.1, 8.1)
Since the entire confidence interval is above 0, the claim supported by it is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
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What is 164.3478261 rounded to the
nearest yard?
Answer:
164 (We can use rounding techniques)
Note: If you need futher help on this, there are many online tools that you can use. Also, you can ask your teacher(s) or parents if you need help.
Find the inverse for each relation: 4 points each 1. {(1,‐2), (2, 3),(3, ‐3),(4, 2)}
Which of the following algebraic represents shows a dilation that is an enlargement ?
The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)
A dilation is a type of transformation that changes the size of the shape or object. It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.
A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).
For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.
Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)
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solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
Solve the equation using the Properties of Equality.
6a + 9 = 27
a =
The equation w/4 + 16 = 7 is solved in several steps below.
For each step, choose the reason that best justifies it.
the solution w = -36 is correct
The given equation is w/4 + 16 = 7.The main objective here is to solve for the variable w. Let us see the step-by-step process to solve for w:
Step 1: Simplify the left side of the equation by subtracting 16 from both sides. w/4 + 16 = 7 ⇒ w/4 = -9The justification for subtracting 16 from both sides is the additive inverse property of equality, which states that if a = b, then a - c = b - c for any real number c.
Step 2: Multiply both sides of the equation by 4 to isolate w. w/4 = -9 ⇒ (4)(w/4) = (4)(-9) ⇒ w = -36The justification for multiplying both sides of the equation by 4 is the multiplication property of equality, which states that if a = b, then ac = bc for any real number c.
Step 3: Check the solution. Substitute -36 for w in the original equation to make sure it satisfies the equation. w/4 + 16 = 7 ⇒ (-36)/4 + 16 = 7 ⇒ -9 + 16 = 7 ⇒ 7 = 7Since 7 = 7 is a true statement, . The justification for this step is that it ensures that the solution obtained in the previous step is valid.
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3h
h
this pyramid has the same base as the prism, and its height is three times the height of the prism. what is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
volume of the pramind is 90332 ans And like
if alpha and beta are zeroes of x2-3x+q. what is the value of q, if 2 alpha+3 beta=15
The value of q is -27.
Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.
We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.
Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.
Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.
Combine like terms: 15 - beta = 6.
Subtract 15 from both sides: -beta = -9.
Multiply both sides by -1 to solve for beta: beta = 9.
Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.
Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.
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HELP ME PLEASE WILL GIVE BRAINLIEST!!!!
Answer:
F
Step-by-step explanation:
The shape ABCD is reflected over the given line. If you were to fold the shape over to overlap the new figure FGHI, point A would correspond with point F
Answer: F.
Step-by-step explanation:
because that's the answer.
What is the best strategy for reading classic poetry with lots of words you don't know?
A. Look up each unknown words in a dictionary.
B. Form a study group to figure out what the strange words mean.
C. Ask your teacher for the definitions of unfamiliar words.
D. Use context clues to guess at the meanings of unknown words.
Answer:
D.
Step-by-step explanation:
Use context clues to guess at the meanings of unknown words.
Answer:
D
Step-by-step explanation: you have to use context clues to look up words because it improves your reading skills
A right triangle has an area of 36 square units. If you just get copies of this triangle using the scale factors below, what will the areas be?
Answer:
324, 900, 9
Step-by-step explanation:
When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!
Onto the answer, just follow the advice above:
36 * 3^2 = 36 * 9 = 324 square inches,
36 * 5^2 = 36 * 25 = 900 square inches,
36 * 0.5^2 = 36 * 0.25 = 9 square inches.
For f(x) = 0.01(2)x, find the average rate of change from x = 12 to x = 15. (2 points)
3
40.96
95.57
286.72
Answer:
95.57
Step-by-step explanation:
2x-3/x devided by 7/x^2
Answer:
\(\frac{2x^2-3x}{7}\)
Step-by-step explanation:
\(\frac{2x-3}{x}\) ÷ \(\frac{7}{x^2}\)
=> \(\frac{2x-3}{x}\) × \(\frac{x^2}{7}\)
=> \(\frac{2x-3}{7}\) × \(\frac{x^2}{x}\)
=>\(\frac{x(2x-3)}{7}\)
=> \(\frac{2x^2-3x}{7}\)
2.4 divided by 0.24 pllss help
Answer:
your answer is 10 Goodluck
What is the cost of 73 pairs of pants if each pair costs $23, with a 10% discount on every
pair ordered over 50?
Answer: $1626.10
Step-by-step explanation:
\(50 * 23 = 1150\\23 * 0.9 = 20.7\\20.7 * 23 = 476.1\\1150 + 476.1 = 1626.1\)
Please help! i need to pass this
The synthetic division is expressed as 9x³ - 24x² + 49x - 100/x + 2
How to determine the division
To carry out synthetic division, we take the following steps;
Check whether the polynomial is in the standard form.Write the coefficients in the dividend's place and write the zero of the linear factor in the divisor's place.Bring the first coefficient downMultiply it with the divisor and write it below the next coefficient.Add them and write the value below.From the information given, we have;
9x³ - 6x² + x - 2/x + 2
Then, we have the set up as;
9 -6 1 - 2
-2 -18 48 -98
9 -24 49 -100
9x³ - 24x² + 49x - 100/x + 2
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Despite/A, its cultural importance, the Daily Gazette
lost/B, 70 percent of its subscribers since 1920 and,
by 1955, was losing/C, as much as/D , $200,000 a year.
No error/E
Correct option is B
what is the daily gazette?New York's Schenectady is home to the independent, family-owned daily newspaper The Daily Gazette. It absorbed the Fulton County Express, the Courier-Standard-Enterprise, and the Amsterdam Recorder in 2019.
The Marlette family launched The Daily Gazette in 1894 as a weekly publication. In September of that same year, it was sold to the Schenectady Printing Association, which expanded it into a daily newspaper while continuing to publish its weekly version. It circulated 3,000 copies every day by 1895.
The newspaper started releasing a Sunday edition in 1990. The Gazette began a free website in 1996, then in 2003 it changed to a subscription-based one. In 2020, it will provide a limited amount of articles for free online, with full access only available through subscription.
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Find f such that f'(x) = 7/√x , f(9) = 54.
f (x) = ...
To find a function given its derivative and an initial condition, we integrate the derivative and solve for the constant using the given condition. Example: \(f(x) = 14\sqrt{x} + 12\) satisfies \(f'(x) = 7/ \sqrt{x}\) and f(9) = 54.
The function f(x) can be found by integrating f'(x) with respect to x. Given \(f'(x) = 7/\sqrt{x}\), we can integrate it to obtain \(f(x) = 14\sqrt{x} + C\) , where C is an arbitrary constant.
To determine the value of C, we use the initial condition f(9) = 54, which gives us:
\(54 = 14\sqrt{9} + C\)
54 = 42 + C
C = 12
Substituting C into the expression for f(x), we get the final solution:
\(f(x) = 14\sqrt{x} + 12\)
Therefore, the function f(x) that satisfies \(f'(x) = 7/\sqrt{x}\) and f(9) = 54 is \(f(x) = 14\sqrt{x} + 12.\)
In summary, we can find a function given its derivative and an initial condition by integrating the derivative and solving for the arbitrary constant using the given condition. In this case, we found the function \(f(x) = 14\sqrt{x} + 12\) that satisfies \(f'(x) = 7/\sqrt{x}\) and f(9) = 54.
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Are my answers correct. If not pls show work where i went wrong.
Suppose you are studying the average systolic pressure (in mmHg) of all possible ramdom samples of 100 adults from a population of 2,500 adults in Souther California hospitals. Assume the underlying population systolic blood pressure follows a Normal distribution with mean of 115 mmHg and standard deviation of 3 mmHg.
1. what is the standard deviation of the sampling distribution? i think it is 115 mmHg
2. what is the standard deviation of the sampling distribution? i got 0.03 mmHg
3. true or false: to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. i think its true
4. Calculate the 95% CI for the sampling distribution of the mean blood pressure. Use 1.96 for the critical value and round your answer to ywo decimal places. I got 114.94-115.06
1. The standard deviation of the sampling distribution is not 115 mmHg. To calculate it, use the formula σ/√n, where σ is the population standard deviation, and n is the sample size. In this case, σ = 3 mmHg and n = 100. So, the standard deviation of the sampling distribution is 3/√100 = 3/10 = 0.3 mmHg.
2. Your answer of 0.03 mmHg is incorrect. As calculated above, the correct standard deviation of the sampling distribution is 0.3 mmHg.
3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which in this case is given as a Normal distribution.
4. Your 95% CI calculation is incorrect. To calculate the 95% CI, use the formula µ ± (critical value * standard deviation of the sampling distribution). In this case, µ = 115 mmHg, the critical value is 1.96, and the standard deviation of the sampling distribution is 0.3 mmHg. So, the 95% CI is 115 ± (1.96 * 0.3) = 115 ± 0.588. This results in a 95% CI of 114.41-115.59 (rounded to two decimal places).
The standard deviation of the sampling distribution is 0.3 mmHg. It is true that to determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution. The 95% CI for the sampling distribution of the mean blood pressure is 114.41-115.59.
1. Your answer is incorrect.
The standard deviation of the sampling distribution is calculated using the formula:
the standard deviation of the population / √(sample size).
In this case, it would be
3 mmHg / √(100) = 3 mmHg / 10
The standard deviation of the sampling distribution = 0.3 mmHg.
2. Your answer is incorrect, as explained in the previous point. The correct standard deviation of the sampling distribution is 0.3 mmHg.
3. Your answer is true. To determine the shape of the sampling distribution of the mean blood pressure, we need to know the shape of the underlying distribution, which is given as a Normal distribution.
4. Your answer is close but slightly off.
To calculate the 95% CI (confidence interval) for the sampling distribution of the mean blood pressure, we use the formula:
average ± (critical value × standard deviation of the sampling distribution).
In this case, it would be
115 ± (1.96 × 0.3) = 115 ± 0.588.
So, the correct 95% CI is 114.41-115.59 when rounded to two decimal places.
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Write an equation of the line that passes through (0,5) and (-1.5, 1).
Problem
Write an equation of the line that passes through (0,5) and (-1.5, 1).
Solution
The general equation for a line is given by:
y =mx +b
For this case we can calculate the slope with the following equation:
\(m=\frac{y_2-y_1}{x_2-x_1}\)And for this special case we have x1= 0, y1= 5, x2= -1.5 , y2= 1 if we replace we got:
\(m=\frac{1-5}{-1.5-0}=\frac{8}{3}\)Then we can use the point given (0,5) in order to find the value of b and we have this:
5 = 8/3 * (0) +b
b = 5
And our equation would be:
y= 8/3 x +5
Distributive Property simplified form. -6(a-8)
Answer:
-6a + 48
Step-by-step explanation:
First, distribute the -6 to the a. You get -6a.
Next, distribute the -6 to the -8, and since both are negative, you will get positive 48.
Your final simplification is -6a + 48
~theLocoCoco
Answer:
-6(a+8)=(-6a)+(-68)=(-6a)+(-48)=-6a-48
a convention manager finds that she has $1320, made up of twenties and fifties. she has a total of 48 bills. how many fifty-dollar bills does the manager have?
The required manager has 12 fifty-dollar bills as of the given condition.
Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".
We know that the convention manager has a total of 48 bills, so:
x + y = 48
We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320
To solve for "y", we can rearrange the first equation to get:
y = 48 - x
Then substitute this expression for "y" in the second equation:
20x + 50(48 - x) = 1320
Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36
So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:
x + y = 48
36 + y = 48
y = 12
Therefore, the manager has 12 fifty-dollar bills.
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one of your delivery trucks travel 1200 miles on a 55 gal of gas how many miles per gallon did the truck get
The delivery truck got 21.81 miles per gallon of gas.Miles per gallon (MPG) is the metric used to measure fuel efficiency or fuel economy.
To calculate MPG, you need to know how many miles the vehicle has traveled and how much fuel it has consumed.
Let us consider that the delivery truck traveled 1200 miles on a 55-gallon tank of gas.
To calculate the miles per gallon, we have to divide the distance traveled by the amount of gas used. Therefore, to calculate MPG, we divide the total distance traveled by the number of gallons of gas used:Miles per gallon = Distance traveled / Gas usedMiles per gallon = 1200/55Miles per gallon = 21.81
Therefore, the delivery truck got 21.81 miles per gallon of gas.
Summary:Thus, we can conclude that the delivery truck got 21.81 miles per gallon of gas.
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A 5 5 meter rope is lying on the floor and has has a weight of 40 40 N in total. How much work is required to lift up one end of the rope to a height of 3 3 meters
It would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.
The amount of work required to lift up one end of a 5-meter rope to a height of 3 meters can be calculated using the formula:
Work = Force x Distance
Here, the force required to lift the rope is equal to half its weight since we are only lifting one end. Hence, the force required is:
Force = Weight/2
= 40/2
= 20 N
The distance moved is equal to the height to which the rope is lifted, which is 3 meters.
So, the amount of work required is:
Work = Force x Distance
= 20 x 3
= 60 Joules
Therefore, it would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.
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