If two platters of sandwiches serves 12 people at a party, how many platters will you
need if 96 people show up?
Answer:
8 platters
Step-by-step explanation:
(-2, -3)and (-5, -3) ?
Answer:
slope is zero equation is y=-3
Step-by-step explanation:
since there is no change in y and they cancel out so you just 0.
Hey guys can you help me with these im kinda busy and dont feel like doing them
Answer:
yes Whyy?
Step-by-step explanation:
walalang Sagot mo yan HAHAHAHAH
Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the is 17 feet high? Recall that the volume of a right circular cone with heigh h and radius of base r is given by V=31πr2h.
When the pile of gravel is 17 feet high, the height of the pile is increasing at a rate of approximately 0.0537 feet per minute.
We are given that the rate of gravel being dumped from the conveyor belt is 20 cubic feet per minute. We need to find the rate at which the height of the pile is increasing when the height is 17 feet.
Since the base diameter and height of the pile are always equal, we can represent the radius of the base as r and the height of the pile as h. Therefore, the volume of the pile can be expressed as V = (1/3)πr²h.
To find the rate of change of the height of the pile, we differentiate the volume equation with respect to time t:
dV/dt = (1/3)πr²(dh/dt) + (2/3)πrh(dr/dt).
Since the radius of the base is half the diameter, which is equal to the height, we have r = h/2.
Substituting the given values and known rates, we have:
20 = (1/3)π(h/2)²(dh/dt) + (2/3)π(h/2)(dh/dt).
Simplifying, we get:
20 = (1/12)πh²(dh/dt) + (1/3)π(h/2)(dh/dt).
Now, when the height of the pile is 17 feet, we can solve for (dh/dt):
20 = (1/12)π(17)²(dh/dt) + (1/3)π(17/2)(dh/dt).
Solving this equation, we find that (dh/dt) is approximately 0.0537 feet per minute.
Therefore, when the height of the pile is 17 feet, the height is increasing at a rate of approximately 0.0537 feet per minute.
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Eva is working out the area of a triangle . The base is 7.8 and the length of one side is 6.3 cm. I multiply and then divide by two. What mistake has eva made?
Answer:
Eva used a side dimension instead of the height.
Step-by-step explanation:
The base needs to be multiplied by the height, then the result needs to be divided by 2. Eva's mistake is using a side dimension instead of the height. Her approach only works for a right triangle.
Eva multiplied the base by the side height, not the actual height.
Step-by-step explanation:
The area of a triangle is b×h×½, or b×h÷2. Eva multiplied the length times one side, as it says in the problem. The actual height of the triangle we don't know, but we know that Eva multiplied the base, 7.8 cm, by the wrong height.
Hope this helps! (Plz give me brainliest, it will help me achieve my next rank.)
Joe sold $38,000 worth of video games at the video game
store he worked at. His commission was $6,840.
What percent commission does he receive?
Answer:18%
Step-by-step explanation:
Please help me I will mark brainliest
Solve for X
2 + 3.0-9=1-1+22
1
Answer:
x = 2
Step-by-step explanation:
Express each fraction as a decimal to the nearest hundredth. 11/78
The nearest hundredth decimal of 11 / 78 = 0.14
11/78 = 0.14102564102564102564102564102564
The nearest hundredth decimal of 11 / 78 = 0.14
A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator, displayed above a line (or before a slash like 1⁄2), and a non-zero denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.
In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction 3/4, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3/4 of a cake.
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Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle 10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cm
Answer:
Right Triangle-10.5 cm, 20.8 cm, 23.3 cmNot a Right Triangle-6 cm, 22.9 cm, 20.1 cmStep-by-step explanation:
Given the sets of side lengths of a triangle:
10.5 cm, 20.8 cm, 23.3 cm6 cm, 22.9 cm, 20.1 cmTo verify whether each set of side lengths could be the sides of a right triangle, we use the Pythagorean Theorem. Note that the longest side is always taken as the hypotenuse.
Pythagoras Theorem: \(Hypotenuse^2=Opposite^2+Adjacent^2\)In the set of side lengths 10.5 cm, 20.8 cm, 23.3 cm
\(23.3^2=20.8^2+10.5^2\\542.89=432.64+110.25\\542.89=542.89\)
Clearly these satisfies the required theorem and thus are side lengths of a right triangle.
In the set of side lengths 6 cm, 22.9 cm, 20.1 cm
\(22.9^2=20.1^2+6^2\\524.41\neq 440.01\)
Clearly these does not satisfy the required theorem and thus are not side lengths of a right triangle.
Help please and thank you :)
Answer:
Top Right
Step-by-step explanation:
The greater than or equal to sign makes the line solid, and the greater than 2 makes the shading go to the right
a sample of 50 drills had a mean lifetime of 12.68 holes drilled when drilling a low-carbon steel. assume the population standard deviation is 6.83. what sample size (i.e., how many) would you need to have so that a 95% confidence interval will have a margin of error of 1.0?
Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).
We are given the standard deviation for the population, hence, the z-distribution is used. The parameters for the interval is:
Sample mean of \(x = 12.7\)
Population standard deviation of \(\sigma = 6.37\)
Sample size of .n = 50
The margin of error is:
\(M = z \frac{\sigma }{\sqrt{n} }\)
In which z is the critical value.
We have to find the critical value, which is z with a p-value of \(\frac{1+\alpha }{2}\) , in which \(\alpha\) is the confidence level.
In this problem, , thus, z with a p-value of , which means that it is z = 1.96.
Then:
\(M= 1.96\frac{6.37}{\sqrt{50} } = 1.77\)
The confidence interval is the sample mean plus/minutes the margin of error, hence:
x- M = 12.17 - 1.77 =10.4
x+M = 12.17 + 1.77 = 13.94
The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).
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If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
Answer:
B. y > 14
y which is students age is greater than 14
solve this 2 step equation
b/9 -34 < -36
the expression $3x^2 14x 8$ can be written in the form $(3x a)(x b)$ where $a$ and $b$ are integers. what is the value of $a - b$?
To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.
First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.
Now we can write the expression as:
$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$
So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.
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What minus 9 equals 11
Answer:
20
Step-by-step explanation:
20 - 9 = 11
I hope this helps
Answer:
20
Step-by-step explanation:
Call the number you're trying to find n.
"What" becomes n.
n - 9 = 11
To "undo" the subtraction and reveal the value of n , ADD 9 to both sides of the equation. (Addition is the inverse operation of subtraction.)
n = 11 + 9 = 20
what is 28.5 inches in height?
2/3% of what number is 10
Answer:
10 is 2 / 3% of 1500
Step-by-step explanation:
Answer:
\(\frac{2}{3}\%\) \(of\) \(1500=10\)
I used a calculator to answer this question
If you want to use the calculator I used, search desmos online and go to the desmos website.
hope this helps! :]
In which tables does y vary directly with x? Check all that apply
Answer:
first three
Step-by-step explanation:
go directly to the x- value ed2020
first second and third
!:)
what is 50 divided by 2?
Answer:
This is the most hardest question I have seen but I think it may probably be 25
Step-by-step explanation:
a virus is accidentally released from a cdc lab. the virus infects everyone in a 24 mile radius from the cdc lab where it was released. if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected?
If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.
When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.
The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:
The area of a circle with a radius of 24 miles is A = πr²,
which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.
Therefore, the number of people infected is calculated by multiplying the area by the population density:
Residents infected = area x population density
= 1,809.56 x 18.8 ≈ 34,037.
Approximating to the nearest hundred yields 34,000.
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Simplify
4x²+12x-16
2x+10
6x + 24
X^2+ 9x + 20
The given expression is simplified as x² + 3x - 4.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
((4x²+ 12x - 16) / (2x + 10)) / ((6x + 24) / (x ²+ 9x + 20))
It can be simplified as,
((4x²+ 12x - 16) (x ²+ 9x + 20)) / (2x + 10) (6x + 24)
Now, (4x²+ 12x - 16) and (x ²+ 9x + 20) can be factorised as,
4x²+ 12x - 16 = 4x²+ 16x - 4x - 16
= 4x(x + 4) - 4(x + 4)
= (4x - 4) (x + 4)
And, x ²+ 9x + 20 = x ²+ 5x + 4x + 20
= x(x + 5) +4(x + 5)
= (x + 4) (x + 5)
Substitute the factors to get the expression as,
(4x - 4) (x + 4) (x + 4) (x + 5) / (2x + 10) (6x + 24)
= (4x - 4) (x + 4) (x + 4) (x + 5) / 2 × 2(x + 5) (x + 4)
= (4x - 4) (x + 4) / 4
= 4(x - 1) (x + 4) / 4
= (x - 1) (x + 4)
= x² + 3x - 4
Hence, the given expression can be simplified as x² + 3x - 4.
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What is the answer for this? Thank uuuu
Answer:
180-(25x+5)=9x+5
180-25x-5=9x+5
-34x=-170
x=5
find the geometric mean of 64 and 49
Answer:
i think 56..?
Step-by-step explanation:
The geometric mean of 64 and 49 is 56.
What is geometric mean?The geometric mean is a mean or average of the data sets using their product. The formula to calculate geometric mean is \(\sqrt{a*b}\)
How to find geometric mean?To find the geometric mean of 64 and 49 we have to put these values in the above formula. So,
Geometric Mean=\(\sqrt{64*49}\)
=\(\sqrt{3136}\)
=56
Hence the geometric mean of 64 and 49 is 56.
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(x + 2)(x - 1)(x - 2) = 0
polynomial equations
Answer:
∴ (x + 2)(x - 1)(x - 2) = x³- x² - 4x + 4
Step-by-step explanation:
(x + 2)(x - 1)(x - 2) = (x² + 2x - x - 2)(x - 2)
= (x² + x - 2)(x - 2)
= (x³ + x² - 2x - 2x² - 2x + 4)
= x³ - x² - 4x + 4
the lengths of songs on the radio are normally distributed with a mean length of 210 seconds. if 38.2% of all songs have lengths between 194 and 226 seconds, then the standard deviation of this distribution is
Answer:
Step-by-step explanation:
A dietician wants to discover if there is a correlation between age and number of meals eaten outside the home. The dietician recruits participants and administers a two-question survey: (1) How old are you? and (2) How many times do you eat out (meals not eaten at home) in an average month? Perform correlation analysis using data set: "Ch 11 – Exercise 06A.sav" posted in the Virtual Lab. Follow a through d
a. List the name of the variables and the level of measurement
b. Run the criteria of the pretest checklist for both variables(normality, linearity, homoscedasticity), document and discuss your findings.
c. Run the bivariate correlation, scatterplot with regression line, and descriptive statistics for both variables and document your findings (r and Sig. [p value], ns, means, standard deviations)
d. Write a paragraph or two abstract detailing a summary of the study, the bivariate correlation, hypothesis resolution, and implications of your findings.
Correlation analysis:
a. The variables used in the research study are "age" and "number of times eaten out in an average month." The level of measurement for age is an interval, and the level of measurement for the number of times eaten out is ratio.
b. Pretest Checklist for NormalityAge Histogram Interpretation:
A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.
Mean = 45.17, Standard deviation = 14.89, Skewness = -.08, Kurtosis = -0.71.
The histogram for the age of respondents is approximately bell-shaped, indicating normality.
Number of times eaten out Histogram Interpretation:
A histogram with a bell curve, skewness equal to 0, and kurtosis equal to 3 indicates normality.
Mean = 8.38, Standard deviation = 8.77, Skewness = 2.33, Kurtosis = 9.27.
The histogram for the number of times the respondent eats out in an average month is positively skewed and not normally distributed. Therefore, it is not normally distributed.
Linearity:
Age vs. Number of times Eaten Out
Scatterplot Interpretation:
A scatterplot indicates linearity when there is a straight line and all data points are scattered along it. The scatterplot displays that the number of times respondents eat out increases as they get older. The relationship between the variables is linear and positive.
Homoscedasticity:
Age vs. Number of times Eaten OutScatterplot Interpretation: The scatterplot displays no fan-like pattern around the regression line, which indicates that the assumption of homoscedasticity is met.
c. Bivariate Correlation and Descriptive Statistics
Age and the number of times eaten out in an average month have a correlation coefficient of.
150, which is a small positive correlation and statistically insignificant (p = .077). The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77.
The scatterplot with regression line shows a positive slope that indicates a small and insignificant correlation between age and the number of times the respondent eats out in an average month.
d. The research study aimed to determine whether there is a correlation between age and the number of meals eaten outside the home. The data were analyzed using a bivariate correlation analysis, scatterplot with regression line, and descriptive statistics. The results indicated a small positive correlation (r = .150), but this correlation was statistically insignificant (p = .077).
The mean age of the respondents was 45.17 years, with a standard deviation of 14.89. The mean number of times the respondent eats out in an average month was 8.38, with a standard deviation of 8.77. The findings showed that there is no correlation between age and the number of times the respondent eats out in an average month.
Therefore, the researcher cannot conclude that age is a significant factor in the number of times a person eats out. The implications of the findings suggest that other factors may influence a person's decision to eat out, such as income, time constraints, and personal preferences. Further research could be done to determine what factors are significant in the decision to eat out.
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Which equation represents a proportional relationship?
Answer:
Answer: y = 3x
Step-by-step explanation:
Explanation:
The equation that represents a proportional relationship or line is y = kx. Because our answer is in that form we can conclude that y = 3x represents a proportional relationship.
Hope this helps you out :)
Your friend and your cousin discuss measuring with a ruler. Your friend says that you must always line up objects at the zero on a ruler. Your cousin says it does not matter. Who is correct, and why?
friend; A measurement always starts with a value of zero.
friend; A ruler does not match numbers one to one unless the measurement starts at zero.
cousin; you can choose any number for the start of the object and any number for the end.
cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object.
The correct option is the last one:
"Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object."
Who is correct, your friend or your cousin?
Now, remember that a rule is equivalent to a number line.
Now, suppose that you are measuring an element with a length of 16 centimeters.
If you measure it by lining up one of the ends of the element with the zero, then the other end will be at the line number 16.
And if you line it up from a different number, let's say 3cm, then the other end of the object (which still measures 16cm) will be at 19cm.
In both cases, to find the measure of the object that you are measuring with the ruler, you need to find the difference between the two numbers on the ruler that line up with the object ends.
If you line up with the zero, you need to subtract zero, so the measure is easier:
16cm - 0cm = 16cm
If you line up with other number, like the 3 in this case, you need to perform the subtraction:
19cm - 3cm = 16cm
In both cases, we will get the same measure. So your cousin is correct, and the correct option is the last one:
Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 50 small boxes. If the truck is carrying a total of 3975 pounds in boxes, how much does each type of box weigh
The small boxes weigh 30 pounds, and the large boxes weigh 45 pounds.
Let the weight of the small box be x, and the weight of the large box be y. Then we have the following system of equations:x + y = 75 - Equation 1
We can see from the question that the truck is transporting 55 large boxes and 50 small boxes.
Therefore:55y + 50x = 3975 - Equation 2
We can use equation 1 to solve for x in terms of y, by subtracting y from both sides:x = 75 - y - Equation 3
We can substitute equation 3 into equation 2, to obtain:
55y + 50(75 - y) = 3975
This simplifies to:55y + 3750 - 50y = 3975
Simplifying further:5y + 3750 = 3975
Subtracting 3750 from both sides:5y = 225
Dividing both sides by 5:y = 45
Substituting y = 45 into equation 3, we can solve for x:x = 75 - 45x = 30
Therefore, the small boxes weigh 30 pounds, and the large boxes weigh 45 pounds.
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Is The answer.......
Answer:
453.6
Step-by-step explanation:
the rule is
R% x P x T
which in this question is:
r%= 9%
p= 630
t=8
so
630 x 8 x 9% = 453.6
that's the final answer and in order to make sure make
630+453.6=1083.6