Answer:
I think 334 is the answer
Find the volume of the prism. 5/2 ft. 3/2 ft. 4/3 ft.
9514 1404 393
Answer:
5 cubic feet
Step-by-step explanation:
The volume is the product of the dimensions.
V = LWH
V = (5/2 ft)(3/2 ft)(4/3 ft) = (5·3·4)/(2·2·3) ft³ = 5 ft³
The volume of the prism is 5 cubic feet.
Helpppp I will give brainliest
Thanks
Answer:
=−2x+688
Step-by-step explanation:
The third
Which equation can be simplified to find the inverse of y = 5x² + 10?
Answer:
See below
Step-by-step explanation:
Here is how to start....you didn't include the equations in question, so I do not know what the answer may be
solve for x
y-10 = 5 x^2 divide thru by 5
(y-10)/5 = x^2 'sqrt' both sides
± sqrt( (y-10) / 5 = x change x's and y's
± sqrt ((x-10)/5) = y
Find the principal needed now to get the given amount; that is, find the present value,To get $120 after 3 1/4 years at 9% compounded continuouslyThe present value of $120 is $(Round to the nearest cent as needed.)
1) Considering the given data, let's turn that mixed number into a decimal form. 3 1/4 is the same as 3.25.
2) Now, we can plug all the data we were told.
\(\begin{gathered} 120=P_0e^{0.09\times3.25} \\ Pe^{0.09\times \:3.25}=120 \\ \frac{Pe^{0.09\times \:3.25}}{e^{0.2925}}=\frac{120}{e^{0.2925}} \\ P=\frac{120}{e^{0.2925}} \\ P=89.56742\approx89.57 \end{gathered}\)Note that we had to round it off to the nearest cent as requested.
A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.
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please help with this equation
Answer:
y=69420
Step-by-step explanation:
f=42×0=420
b=6+9=69
i=91÷1=911
A party rental company has chairs and tables for rent. The total cost to rent 3 chairs and 2 tables is $25. The total cost to rent 5 chairs and 6 tables is $65. What is the cost to rent each chair and each table?
The cost to rent each chair and table, based on the total cost to the party rental company, is:
Cost to rent chair = $ 2.50Cost to rent table = $ 8.75How to find the cost to rent the chairs and tables ?Let x be the cost of renting one chair and y be the cost of renting one table.
From the first piece of information given, we can write the equation:
3x + 2y = 25
From the second piece of information given, we can write the equation:
5x + 6y = 65
Solving these equations using elimination gives:
3x + 2y = 25
5x + 6y = 65
15x + 10y = 125
15x + 18y = 195
Subtracting gives:
0x + 8y = 70
y = $ 8.75
The cost to rent a chair is:
3x + 2 (8.75) = 25
3x + 17.5 = 25
3x = 7.5
x = $ 2.5
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How many bits would you need to store the number 8000000?
23 bits would you need to store the number 8000000.
What is meant binary number?
binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.
For unsigned numbers -
For 3 bits, the highest number which could be stored is 7 i.e. 111 in binary
For 4 bits, it is 15 i.e. 1111 in binary
Similarly for 64 bits, 264 - 1 (= 18,446,744,073,709,551,615) is the
highest base 10 number it could store
Using the same logic from before, we take floor(log2(n)) + 1 as the number of bits
Suppose, we have to calculate for 7
floor(log2(7)) = 2
2 + 1 = 3 bits
Now suppose we have to calculate for 8
log2(8) = 3
floor(log2(8)) = 3
3 + 1 = 4 bits
23 bits would you need to store the number 8000000.
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help me plssssssssssss
Give an example of an equation that is a linear function. Explain why is is a linear
Answer:
For example, a common equation, y=mx+b y = m x + b
Step-by-step explanation:
is a linear function because it meets both criteria with x and y as variables and m and b as constants.
he BLS employer cost survey uses a sample to establish the average wage of receptionists. Based on a large number of observations, the distribution of receptionist wages is normally distributed with a mean $10.38/hour and a standard deviation of $2.05. What is the probability that the wages for a sample of 20 receptionists exceeds $11/hour
If the BLS employer cost survey uses a sample to establish the average wage of receptionists and the distribution of receptionist wages is normally distributed with a mean of $10.38/hour and a standard deviation of $2.05, then the probability that the wages for a sample of 20 receptionists exceed $11/hour is 38.16%
To find the probability, follow these steps:
So, the probability is approximately 0.3816 or 38.16%.
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find the measure of the angle with the ?. no links
Answer:
D) 146
Step-by-step explanation:
Exterior angle thm:
42 + 104 = x
x = 146
Mr. Kramer has 30 pencils for his class. There are 22 students in his class and he would like
to give each student 2 pencils.
How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils
Answer:
6
Step-by-step explanation:
Mr. Kramer has pencils for his class = 30
Students in his class = 22
Pencils he would like to give each student = 2
How many more pencils does Mr. Kramer need to buy so that each student will receive 2 pencils = ?
Total pencils Mr. Kramer need to buy so that each student will receive 2 pencils = 22 × 2
= 44
= 44 - 30
= 6
Mr. Kramer need to buy 6 more pencils so that each student will receive 2 pencils
find surface of rectangular prism show work please
Answer:
so basically you have to multiply all the numbers and divide by 2 and the rest is self explanatory
Quentin is filling a glass that holds cups of water. He is using a cup measuring cup. How many times will he have to fill the smaller measuring cup to equal cups
So, by fraction, number of times he will have to fill the smaller measuring cup to equal 1 3/4 cups is 7 times.
What is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
Glass holds = 1(3/4) cups of water
One cup holds = 1/4 cup of water
number of 1/4 cups needed to fill the 1(3/4) cups of water glass.
\(\frac{1}{4xC}=1(\frac{3}{4})\\\\\frac{C}{4} = \frac{7}{4} \\\\C=\frac{7}{4x4}\\ \\C= 4\)
number of times the smaller cup fills the glass is 7.
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Complete Question: Quentin is filling a glass that holds 1 3/4 cups of water. he is using 1/4 cup measuring cup. how many times will he have to fill the smaller measuring cup to equal 1 3/4 cups?
if the original recipe calls for 50 portions, 6oz each and the new recipe calls for 100 portions at 5oz each, what is the recipe conversion factor?
By using multiplication and division of integers, it can be calculated that
Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6
What is multiplication and division of integers?
At first it is important to know about integers
Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.
Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem where multiplication and division of integers is required
The original recipe calls for 50 portions, 6oz each
Required yield of the original recipe = 50 \(\times\) 6 = 300 oz
The new recipe calls for 100 portions at 5oz each
Required yield of the new recipe = 100 \(\times\) 5 = 500 oz
Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6
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Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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In a survey of 300 adults, 15% didnot know how to ride a bike. Howmany people is this?ble problem?
To determine how many people out of the 300 surveyed did not know how to ride a bike, you have to calculate the 15% of 300.
You can use cross multiplication to do so:
100%____300 people
15%_____x people
Both relations have to be at the same ratio so that
\(\frac{300}{100}=\frac{x}{15}\)Multiply both sides by 15 to determine the value of x:
\(\begin{gathered} 15\cdot\frac{300}{100}=15\cdot\frac{x}{15} \\ 45=x \end{gathered}\)This means that out of the 300 people surveyed, 45 did not know how to ride a bike.
amita wants to make a mold for a candle. she wants the shape of the candle to be a rectangular prism with a volume of exactly 28 cubic centimeters. she wants the sides to be in whole centimeters. how many different molds can she make? amita decided that she wants the molds to have a sqaure base. how many of the possible molds can she use
Amita can only use one of the possible molds if she wants a rectangular prism with a square base and volume of 28 cubic centimeters.
Let the length, width, and height of the rectangular prism be x, y, and z respectively. Since the volume of the prism is 28 cubic centimeters, we have:
x * y * z = 28
Since x, y, and z are whole numbers, we can find all possible combinations of three factors whose product is 28. These are:
1 * 1 * 28
1 * 2 * 14
1 * 4 * 7
2 * 2 * 7
Therefore, there are four different molds that Amita can make.
If Amita wants the mold to have a square base, then the length and width of the base must be equal. We can see that only one of the above combinations has equal length and width, which is:
2 * 2 * 7
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If f(x)=3x+2, find the following value:
f(4)=?
Answer:
f(4)=14
Step-by-step explanation:
f(x)=3x+2
f(4)=3x+2
f(4)=3*4+2
f(4)=12+2
f(4)=14
Hope this helps!
Select the correct answer.
What is the exact solution to the system of equations shown on the graph?
Answer:
Option (B)
Step-by-step explanation:
There are two lines on the graph representing the system of equations.
First line passes through two points (-3, 1) and (-2, 3).
Slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{3-1}{-2+3}\)
m = 2
Equation of the line passing through (x', y') and slope = m is,
y - y' = m(x - x')
Equation of the line passing through (-3, 1) and slope = 2 will be,
y - 1 = 2(x + 3)
y = 2x + 7 ----------(1)
Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.
Let the equation of this line is,
y = mx + b
Slope 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{4-1}{-1-0}\)
= -3
Here 'b' = 1
Therefore, equation of the line will be,
y = -3x + 1 ---------(2)
From equation (1) and (2),
2x + 7 = -3x + 1
5x = -6
x = \(-\frac{6}{5}\)
x = \(-1\frac{1}{5}\)
From equation (1),
y = 2x + 7
y = \(-\frac{12}{5}+7\)
= \(\frac{-12+35}{5}\)
= \(\frac{23}{5}\)
= \(4\frac{3}{5}\)
Therefore, exact solution of the system of equations is \((-1\frac{1}{5},4\frac{3}{5})\).
Option (B) will be the answer.
Answer:
B. (-1 1/5, 4 3/5)
Step-by-step explanation:
A survey found that 31 of 60 randomly selected women and 38 of 73 randomly selected men follow a regular exercise program. Find a 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program.
Answer:
95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program
(-0.1740 , 0.1672)
Step-by-step explanation:
Step(i):-
Given A survey found that 31 of 60 randomly selected women
First sample proportion
\(p_{1} = \frac{x_{1} }{n_{1} } = \frac{31}{60} = 0.5166\)
Second sample proportion
\(p_{2} = \frac{x_{2} }{n_{2} } = \frac{38}{73} = 0.520\)
Level of significance = 0.05
Z₀.₀₅ = 1.96
Step(ii):-
95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program
\(((p_{1} ^{-}-p^{-} _{2} - Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ), (p_{1} ^{-}-p^{-} _{2} +Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ))\)
where
\(Se(p_{1} - p_{2} ) = \sqrt{\frac{p_{1} (1-p_{1} )}{n_{1} }+\frac{p_{2}(1-p_{2} }{n_{2} } }\)
\(Se(p_{1} - p_{2} ) = \sqrt{\frac{0.5166 (1-0.5166 )}{60 }+\frac{0.520(1-0.520 }{73 } } = 0.08706\)
95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program
\(((p_{1} ^{-}-p^{-} _{2} - Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ), (p_{1} ^{-}-p^{-} _{2} +Z_{0.05} S.E(p_{1} ^{-} - p^{-} _{2} ))\)
((0.5166-0.520-1.96(0.08706) , 0.5166-0.520+1.96(0.08706))
(-0.1740 , 0.1672)
Final answer:-
95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program
(-0.1740 , 0.1672)
Use basic trigonometric identities to simplify the expression: tan^3(x) + tan (x)=?
Step 1
Simplify the expression.
\(\tan (x)(\tan ^2(x)\text{ +1)}\)Step 2
Find a trigonometric identity that can be used to simplify the expression in step 1
\(\tan ^2(x)+1=sec^2(x)\)Step 3
Get the final answer after substitution.
\(\tan (x)sec^2(x)\)Hence the right answer is option B
a city council of 11 republicans and 8 democrats picks a committee of 4 at random. what's the probability thy choose all democrats?
The probability they choose all democrats is 0.01805
How to determine the probability they choose all democrats?From the question, we have the following parameters that can be used in our computation:
Republicans = 11
Democrats = 8
Number of selections = 4
If the selected people are all democrats, then we have
P = P(Democrats) * P(Democrats | Democrats) in 4 places
using the above as a guide, we have the following:
P = 8/19 * 7/18 * 6/17 * 5/16
Evaluate
P = 0.01805
Hence, the probability they choose all democrats is 0.01805
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A box contains 300 raffle tickets. Only 15 tickets are winning tickets.
What is the probability the first ticket drawn at random from the box is a
winning ticket?
the Answer is 315 because 300 multiplied by 15 so if you add it up you have 315 so your Answer is:315
Which is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr?
Mean and standard deviation is more affected by extreme observations.
Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.
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3/4 + 1/2 + 1/3 sum to infinity
Answer:
18/12
Step-by-step explanation:
Answer:
5/3 or u could make it 5/4 since only 2 n 4 can have 2468 u cant put 4 back
Step-by-step explanation:
How would i find percent of a number in this case 81% of 108 The work part i have the answer
which two features of igneoous rocks are determined by their cooling rate
It is crystal size and rock texture.
Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.
Thanks,
As the last answer for today.
Happy Thanksgiving
- Eddie E.
F(x)=x^2. What is g(x)? point given (2,1)
A. g(x)= 4x^2
B. g(x)=1/4x^2
C. g(x)=(1/4x)^2
D. g(x)=1/2x^2
At x=2
f(2)=2²=4And
g(2)=1So the function is
g(x)=1/4f(x)g(x)=1/4x²