The volume of the cone is approximately 13,201.1 cubic inches. The formula to find the volume of a cone is V = 1/3πr^2h,
where r is the radius of the circular base and h is the height of the cone. To find the volume of a cone with a height of 27 inches and a radius of 11 inches, we can plug in the values into the formula:
V = 1/3π(11^2)(27)
Simplifying this expression, we get:
V = 4199π cubic inches
Therefore, the volume of the cone is approximately 13,201.1 cubic inches.
It's important to remember that the volume of a cone is always one-third the volume of a cylinder with the same base and height.
So, you can also think of this problem as finding the volume of a cylinder with a radius of 11 inches and a height of 27 inches, and then dividing that volume by 3.
The formula for the volume of a cylinder is V = πr^2h, so the volume of the cylinder is: V = π(11^2)(27)
Simplifying this expression, we get: V = 10,647π cubic inches
Dividing this volume by 3, we get: V = 3549π cubic inches
which is the same as the volume of the cone we found earlier.
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Complete this table so that the cost per banana remains the same:
The value of a is $
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.
The value of b is $
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.
The value of c is $
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.
The value of d is $
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.
The value of e is
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bananas. The value of f is
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bananas.
A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area?.
Refer to the attached image.
I need help with this question? 2(t+1) =10
Answer:
Distribute
Subtract two from both sides of the equation
Simplify
and that's your solution
which should be t=4
Step-by-step explanation:
A line passes through the points (0, 11) and (4, 19). What is its equation in slope-intercept form?
Answer:
y = 2x + 11
Step-by-step explanation:
The general equation for the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We know that the y-intercept occurs when x is 0 so it's already given and is (0, 11).
We can find the slope using the slope formula:
\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\m=\frac{19-11}{4-0}\\ m=\frac{8}{4}=2\)
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, | ? ],[?]
Answer:
8, 0
Step-by-step explanation:
The temperature is 23 degrees F, at sunrise. By noon, the temperature changes
by 10 degrees F. What could be the temperature at noon? The number line shows
temperatures in degrees F. Draw arrows to find all the possible noon
temperatures. Plot points at the final temperature/temperatures.
Number line:
<- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 ->
The possible noon temperatures are 33° F and 13° F.
What is temperature?Temperature is a degree of hotness or coldness the can be measured using a thermometer. It's also a measure of how fast the atoms and molecules of a substance are moving. Temperature is measured in degrees on the Fahrenheit, Celsius, and Kelvin scales.
Given that, the temperature is 23 degrees F, at sunrise. By noon, the temperature changes by 10 degrees F.
Let x° F be the temperature at noon.
Here, temperature at noon is
x= 23+10=33° F and x= 23-10=13° F
Therefore, the possible noon temperatures are 33° F and 13° F.
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Step by step explanation
Answer:
\(\huge\boxed{\sf x =\frac{7}{2} , y = -3}\)
Step-by-step explanation:
2x + 4y = -4 ------------------------(1)
3x + 5y = -3 ------------------------(2)
Multiply Eq. (1) by 3
3(2x + 4y) = -4 * 3
6x + 12y = -12 ---------------------(3)
Multiply Eq. (2) by 2
2(3x + 5y) = -3 * 2
6x + 10y = -6 ---------------------(4)
Subtract Eq. (4) from (3)
6x + 12y - ( 6x + 10y ) = -12 - (-6)
6x + 12y - 6x - 10y = -12 + 6
12y - 10y = -6
2y = -6
Divide 2 to both sides
y = -6 / 2
y = -3
Put y = -3 in Eq. (1)
2x + 4(-3) = -5
2x - 12 = -5
Add 12 to both sides
2x = -5 + 12
2x = 7
Divide 2 to both sides
x = 7 / 2
So,
x = 7 / 2 , y = -3
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Estimate the cost of putting up a decorative border in your family room if your room is 28 feet long and 16 feet wide and the border costs $8.95 for a package containing 10 feet.The estimated cost is $___
The cost of putting a border around the family room is $ 89.5 .
Dimensions of the room = 28 feet by 16 feet
Now we have to find the perimeter of the room to calculate the length of the border.
The room is a rectangle.
The perimeter of a rectangle is exactly given by
2 × (length + width)
perimeter = 2 × ( 28 + 16 ) feet
Perimeter = 88 feet
Cost of 10 feet = $ 8.95
Boxes needed = 88 / 10 = 8.8 boxes.
Now boxes cannot be taken as a fraction.
Therefore number of boxes required = 10
Cost of 10 boxes =$8.95 × 10 = $ 89.5
Therefore the cost of putting a border around the family room is $ 89.5 .
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help!!!!!!!!!!!!!!!!!!!!!!!!!!! im a dummy
your scientific notation will be 2.505 x 10^4
A first grade teacher is teaching algebraic reasoning through problems which present to the students as if they are puzzles. One way the teacher could do this is to introduce students to a card game in which they must find the missing addend. What could be the teacher's goal with this method?
The teacher's goal in introducing students to a card game where they must find the missing addend could be to develop and enhance their algebraic reasoning skills.
By presenting the problem as a puzzle or game, the teacher aims to engage the students in a fun and interactive way while fostering their ability to think critically and solve mathematical problems. The game helps students practice identifying the missing addend and applying algebraic thinking to find the solution. Additionally, it promotes the development of problem-solving strategies, logical reasoning, and the ability to generalize mathematical patterns, which are foundational skills in algebraic reasoning.
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QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.
Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.
What is NS?
5 cm
10 cm
20 cm
30 cm
Let's say someone is conducting research on whether people in the community would attend a pride parade. Even though the population in the community is 95% straight and 5% lesbian, gay, or some other queer identity, the researchers decide it would be best to have a sample that includes 50% straight and 50% LGBTQ+ respondents. This would be what type of sampling?
A. Disproportionate stratified sampling
B. Availability sampling
C. Snowball sampling
D. Simple random sampling
The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."
A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.
B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.
C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.
D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.
Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.
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The average lifetime of the Z boson is approximately 3 x 10-25 seconds, and the average lifetime of a neutral rho meson is approximately 4.5 x 10-24 seconds. Explain why the neutral rho meson has a longer average lifetime.
Answer: the neutral rho meson has a longer life span because it has 1.5x more than the other one
Step-by-step explanation:
Put a lid on it At some fast-food restaurants, customers who want a lid for their drinks get them from a large stack left near straws, napkins, and condiments. The lids are made with a small amount of flexibility so they can be stretched across the mouth of the cup and then snuggly secured. When lids are too small or too large, customers can get ve frustrated, especially if they end up spilling their drinks. At one particular restaurant, large drink cups require lids with a "diameter" of between 3.95 an 4.05 inches. The restaurant's lid supplier claims that the diameter of their large lids follows a Normal distribution with mean 3.98 inches and standard deviation 0.02 inches. Assume that the supplier's claim is true. (a) What percent of large lids are too small to fit? Show your method. (b) What percent of large lids are too big to fit? Show your method. ry Compare your answers to (a) and (b). Does it sense for the lid manufacturer to try to make these values larger than the other? Why or why
The percentage of lids that are too small or too big can be determined by calculating the respective probabilities using z-scores.
(a) To find the percentage of large lids that are too small to fit, we need to calculate the probability that a lid has a diameter less than 3.95 inches. First, we calculate the z-score for a diameter of 3.95 inches using the formula:
z = (x - μ) / σ
where x is the given diameter, μ is the mean, and σ is the standard deviation. Plugging in the values:
z = (3.95 - 3.98) / 0.02 = -1.5
Using a standard normal distribution table or statistical software, we can find the corresponding probability, which represents the percentage of lids that are too small.
(b) Similarly, to find the percentage of large lids that are too big to fit, we calculate the probability that a lid has a diameter greater than 4.05 inches. Using the same z-score formula, we find the z-score for a diameter of 4.05 inches:
z = (4.05 - 3.98) / 0.02 = 3.5
Again, using a standard normal distribution table or statistical software, we determine the corresponding probability.
Comparing the answers from (a) and (b), we can observe whether one percentage is larger than the other. If the percentage of lids that are too small is significantly larger, it would make sense for the lid manufacturer to increase the values to prevent lids from being too small. Conversely, if the percentage of lids that are too big is significantly larger, the manufacturer should consider reducing the values to avoid lids being too large. The comparison provides insight into the adjustments the manufacturer may need to make to ensure a better fit for the lids on the large drink cups.
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experiments on learning in animals sometimes measure how long it takes mice to find their way through a maze. the mean time is 18 seconds for one particular maze. a researcher thinks that a loud noise will cause the mice to complete the maze faster. she measures how long each of 10 mice takes with a loud noise as stimulus. the appropriate hypotheses for the significance test are
For completion of maze faster, time need to be decreased. therefore test is left tailed.
The significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference.
These types of definitions can be hard to understand because of their technical nature. A picture makes the concepts much easier to comprehend!
The significance level determines how far out from the null hypothesis value we'll draw that line on the graph. To graph a significance level of 0.05, we need to shade the 5% of the distribution that is furthest away from the null hypothesis.
It is give that mean time for maze is
seconds.
We will conduct hypothesis for population parameter (not sample statistics).
The null and alternate hypothesis are as below:
H0 : µ = 18
Ha : µ < 18
For completion of maze faster, time need to be decreased. therefore test is left tailed.
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Find the value of x in the
following parallelogram:
2x - 10
2x + 50
Answer:
The value of x is 35
Step-by-step explanation:
In order to calculate the value of x in the following parallelogram: 2x - 10
2x + 50, we would have to calculate the following formula:
m<QPS+m<PQR=180°
According to the given data we have the following:
m<QPS=2x - 10
m<PQR=2x + 50
Therefore, 2x - 10+2x + 50=180
4x+40=180
x=140/4
x=35
How many hundreds are in 200+10+6?
Answer:
200+10+6=216
Step-by-step explanation:
2 hundred and 16 is in word form
Since 200 can be written as a sum of 2 100's, hence there are two hundred in the expression given,
Given the expression 200 + 10 + 6
Each term can be written in words as shown:
200 is two hundred
200 = 100 + 100
Since 200 can be written as a sum of 2 100's, hence there two hundred in the expression given,
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Find m Help me solve it please!!!!!!!!!!!!!
Answer:
56
Step-by-step explanation:
according to the sum of the exterior angles of a polygon, we get that the exterior angles of this polygon add up to 360
so our equation is: 9x-31+7x-2+4x+33=360,
the -31-2+33 cancel out,
and combining like terms gives us: 20x=360
so x=18,
from here we know that DCE equals to 180-7x+2, because it is an exterior angle, therefore the angle is 180-126+2, which is 56
A fruit stand has to decide what to charge for their produce. They need $ 5 for 1 apple and 1 orange. They also need $ 15 for 3 apples and 3 oranges. Put this information into a system of linear equations. Can we find a unique price for an apple and an orange?
Answer:
2 and 3
If you want to get complicated, then 2.39 and 2.61.
Step-by-step explanation:
5 = x + y
5 = 2 + 3
5 = 5
HELP PLEASE THIS IS HARD!!!
Solve and check
6x - 5x + 7x = 34
Answer:
Step-by-step explanation:
6x-5x+7x=34
x+7x=34
8x=34
x=\(\frac{34}{8}\)
Answer:
X= 5 2/3
Step-by-step explanation:
Combine Like terms
6x=34
Inverse Operation
x=35/6
Simplify
X=5 2/3
Find an nth degree polynomial function with real coefficients satisfying the given conditions.
degree of the polynomial is 3; the zeros of the polynomial are 3 and i; and use f(2) = 25 to find an
Step-by-step explanation:
Our roots are 3, and i so our roots form
will be
\((x - 3)(x - i)\)
Since i is one root, it conjugate, must be the other.
so we have
\((x - 3)(x - i)(x + i)\)
Simplify
\(( {x}^{2} + 1)(x - 3)\)
\( {x}^{3} - 3 {x}^{2} + x - 3\)
So the function is
\(x {}^{3} - 3 {x}^{2} + x - 3\)
108 = -2(-5 - 7b) What does b equal?
Answer:
b = 7
Step-by-step explanation:
108 = -2(-5 - 7b)
Distribute -2 to the terms inside the parenthesis:
108 = 10 + 14b
Subtract 10 from both sides of the equation to isolate 14b:
108 - 10 = 10 + 14b - 10
98 = 14b
Divide 14 on both sides of the equation to solve for b:
\(\frac{98}{14} = \frac{14b}{14}\)
7 = b
Which set of output values correctly complete the function table?
a. -24, -8, -12
b. 24, 8, 12
c. 24, 8, -12
b. -24, -8, 12
A function table is a table that describes a function by displaying inputs, outputs, and the relationship between them. To answer the question of which set of output values correctly complete the function table, the function itself needs to be known. However, the given question does not provide the function, so it is impossible to determine which set of output values correctly complete the function table.
So, the answer to the given question is "the function itself needs to be known to determine which set of output values correctly complete the function table."
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please answer fast and explain your answer.
Answer:
the sale price of the flip flops after tax is $12.87.
Step-by-step explanation:
To calculate the sale price of the flip flops after tax, we need to consider both the discount and the sales tax. Here's how we can calculate it:Calculate the discounted price:
The flip flops cost $15, and there is a 20% discount. To find the discounted price, we subtract the discount amount from the original price:
Discounted price = $15 - (20% of $15)
To calculate the discount amount, we multiply the original price by the discount percentage (expressed as a decimal):
Discount amount = 20% of $15 = 0.20 * $15Discounted price = $15 - (0.20 * $15)Calculate the sale price after tax:
After applying the discount, we need to calculate the sales tax on the discounted price. To do this, we add the sales tax amount to the discounted price:
Sale price after tax = Discounted price + (7.25% of Discounted price)
To calculate the sales tax amount, we multiply the discounted price by the sales tax percentage (expressed as a decimal):
Sales tax amount = 7.25% of Discounted price = 0.0725 * Discounted priceSale price after tax = Discounted price + (0.0725 * Discounted price)Now, let's substitute the values and calculate:Discounted price = $15 - (0.20 * $15) = $15 - ($3) = $12Sale price after tax = $12 + (0.0725 * $12) = $12 + $0.87 = $12.87
Un camión admite en su interior 68,25 toneladas de patatas. Se cada caja de patatas pesa 22,75 Kg, ¿cuántas cajas de
patatas lleva el camión?
Answer:
El camión lleva 3000 cajas de patatas
Step-by-step explanation:
Proporciones
La capacidad de carga de un camión es de 68.25 Toneladas de patatas.
Como 1 tonelada es equivalente a 1000 Kg, expresamos la capacidad en Kg:
68.25 * 1000 = 68250 Kg
Cada caja de patatas pesa 22.75 Kg, luego el número de cajas que caben en el camión son:
68250/22.75 = 3000 cajas
El camión lleva 3000 cajas de patatas
a. Identify the form the quadratic is written in andstate the feature of the parabola that could befound.i. y = (x + 2)² - 5Answer:ii. y =- x² + 7x-12Answer:y = (x –9)(x +4)Answer:
i)
The vertex form of a quadratic equation of a parabola opening upwards or downwards is,
\(y=a(x-h)^2+k\ldots\ldots(1)\)Here, (h,k) is the coordinates of the vertex of the parabola. If a is positive, the parabola is facing up and if a is negative, the parabola is facing down.
The given equation of parabola is,
\(y=(x+2)^2-5\ldots\ldots(2)\)So, the given equation is in the vertex form of the quadratic equation.
Comparing equations (1) and (2), we get
a=1, h=-2, k=-5.
Since a is positive, the parabola opens upwards. The coordinates of the vertex of the parabola is (-2,-5).
Multiple 3/8 by the whole part and the fractional part
Multiplying 3/8 by the whole part and the fractional part is 21/32.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, the whole and fractional part can be 1 3/4.
Therefore, the multiplication by 3/8 will be:
= 3/8 × 1 3/4.
= 3/8 × 7/4
= 21 / 32.
The fraction is 21/32.
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Complete question
Multiply 3/8 by 1 3/4 which depicts the whole part and the fractional part.
A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?
1 gallon = 4 quarts, 1 quart = 2 pints, 1 pint = 2 cups, 1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
Answer:
is 6 a choice if so that is the correct answer:)
Step-by-step explanation:
bc ik
Answer:
For the first part the answer is we will to find the number of servings for 8 cups.
The second and finnal answer is 16 servings
Step-by-step explanation:
2 quarts x 2 = 4 pints x 2 = 8 cups
5 cups per 10 servings unit rate is 1:2 X 8 = 8:16, Therfore 16 servings.
Glad I could help! :)
The %5 sales tax on a $1500 tv need asap please and thanks
Answer:
This would be 75 dollars, or a total of 1575 dollars (the tv with tax)
Step-by-step explanation:
convert 5% to decimal = .05
.05 multiplied by 1500 = 75
75+1500=1575
Answer:
CP=1500
SALES TAX%=5
so, the answer after the calculations would be
$75.00
Hope it helps
Mark me as Brainliest please uwu
In this diagram shown,
PQRS is a rectangle
Answer:
In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h
EXPLANATION
From the diagram, PQRS is a rectangle
Area of shaded part = 72sq.cm
But 72 = 3h - 4 + 6h - 4 + 4h
= 72 - 16h - 8
= 16h - 72 + 8
=16h = 80
h = 80/16
= 5cm