Find the volume of each composite figure to the nearest whole number.
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
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Hey i was wondering can i move +7 from inside the absolute value in the left side to -7 outside the absolute value on the right side? for example in the question below is the answer right is the answer zero ?
Answer:
A) ZeroStep-by-step explanation:
Given equation:
|x + 7| = - 4The left side is absolute value, we know it is zero or positive value but never negative.
The right side is negative so the equation can't have solutions as we have contradiction above.
\( \rm |x + 7| = - 4\)
The statement is false for any value of x because the absolute value function is always positive or 0.
Thus, The equation has zero solutions!!~A natural history museum surveyed the people visiting the museum for one month and
created a circle graph to show the age of the visitors for that month.
a. Find the number of degrees for each part of the museum visitors graph.
Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
b. If 5000 people visited the museum during the month the survey was taken, how Age 18 and under:
Age 19 – 44:
Age 45 – 64:
Age 65 and over:
Answer:
20
Step-by-step explanation:
19-44=25
45-64=19 25+19=44 44-64=20
1. Is Event 1 and Event 2 Mutually Exclusive of each other? Event 1: Pre- Schooler is a girl Event 2: Pre- Schooler prefers the color blue to the color pink Select one: a. No, A girl pre-schooler can prefer the color blue to the color pink. b. Yes, The gender of pre-schooler has no affect on color preference c. Yes, Girls prefer the color pink to the color blue 2. 70 preschoolers were asked whether they preferred blue or pink. 35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color. Assuming one of the pre-schoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
The probability of choosing a preschooler who is a girl and prefers the color blue is 0.3 or 30%.
The total number of preschoolers who were asked about their color preference is 70. Out of these, 35 girls chose pink, 15 girls chose blue, 5 boys chose pink, and 15 boys chose blue.
To find the probability of choosing a girl who prefers blue, we need to use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Here, the favorable outcome is choosing a girl who prefers blue. We can see that 15 girls chose blue as their preferred color. Out of these, we need to choose a girl, so the total number of favorable outcomes is 15.
The total number of outcomes is the total number of preschoolers, which is 70. Out of these, the number of girls is 35+15=50. Therefore, the total number of outcomes where a girl can be chosen is 50.
Putting these values in the formula, we get:
Probability = 15/50 = 0.3
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Complete Question;
70 preschoolers were asked whether they preferred blue or pink.
35 Girls chose pink as preferred color, 15 girls chose blue as preferred color, 5 boys chose pink as preferred color, and 15 boys chose blue as preferred color.
Assuming one of the preschoolers is chosen at random determine the probability of choosing a preschooler that is a girl that prefers the color blue. Round answer to 2 decimal places.
What type of number Is 0.3333333?
Answer:
1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
k(kooooollloojjiiuujoiuohogo
If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?
Answer:
\(4x+6\) units
Step-by-step explanation:
Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms
1) To solve this problem, you need to understand the perimeter formula, and that is:
--> \(P = 2(L+W)\)
P = Perimeter
L = Length
W = Width
2) Based on that, we are given that:
\(L = x\) (since the length is x)
\(W = x+3\) (since the width is x+3)
3) After that, we substitute in the values:
\(P = 2(L+W)\)
\(P = 2(x+(x+3))\)
\(x + (x+3) = x+x+3 = 2x+3\) (with like terms and addition)
so: \(P=2(2x+3)\)
Use distributive property, which is \(a(b+c) = ab+ac\)
get: \(2(2x+3) = 2(2x) + 2(3)\)
\(2(2x) = 4x\)
\(2(3) = 6\)
So: \(P = 4x+6\)
Hope this helps and have a nice day!! :) :]
Graph the image of the figure given the transformation
This transformation requires us to shift 1 unit left and 4 units down.
44. Time to Complete a Task Two machines can complete a task in t hours, where t must satisfy the
equation t/8+t/12 = 1. How long will it take for the two machines to complete the task?
Answer:5 h 48 min
Step-by-step explanation:
t/8+t/12=1
=> 3t+2t =24
5t=24
t=24/5
t=5 and 4/5 h
That equal to 5 h and 8/10 h or 5h and 8*6 min
So the answer is 5 h 48 min
Math help pls
1 1/7 times 1 3/4
8 1/3 times 3/5
2 5/8 times 1 2/3
5 1/2 times 3 1/3
7 1/5 times 2 1/6
2/3 times 4/15
2 2/5 times 1 1.4
4 2/5 times 10
26 times 2 1/2
6 times 3 2/3
6 1/4 times 1 5/7
3 1/3 times 2 3/5
4 1/2 times 4 2/3
5 5/8 times 1 5/9
Answer:THIS TOOK ME FOREVER BUT WAS WORTH IT
1)1 1/7 times 1 3/4=2
2)8 1/3 times 3/5=5
3)4 3/8 times 1 2/3= 7 7/24
4)5 1/2 times 3 1/3=18 1/3
5)7 1/5 times 2 1/6=10 3/14
6)2/3 times 4/15=8/4
7)2 2/5 times 1 1.4=27 9/25
8)4 2/5 times 10=44
9)26 times 2 1/2=65
10)6 times 3 2/3=22
11)6 1/4 times 1 5/7=10 5/7
12)3 1/3 times 2 3/5=8 2/3
13)4 1/2 times 4 2/3=21
14)5 5/8 times 1 5/9=8 2/4
Step-by-step explanation:
Answer:
8 / 24
Step-by-step explanation:
325 divided by 15 = ???
Answer:
325÷15 is approximately 21.6667
Answer:
21.66666 repeating
Step-by-step explanation:
can be rounded to 21.7 or 21.67
Do the ratios 4 5 and 13 15 form a proportion?
PLSSS ANSWER
\(\sqrt{28-3(4)}\)
Answer:
\(\boxed{\sf{4}}\)Step-by-step explanation:
Use the order of operations to solve this problem.
\(\Longrightarrow: \sf{\sqrt{28-3(4)} }\)
Remove parentheses.
→ (4)=4
Rewrite the problem down.
\(\Longrightarrow:\sf{\sqrt{28-3*4} }\)
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract→ 28-3*4
Multiply.
→ 3*4=12
→ 28-12
Subtract.
→ 28-12=16
\(\Longrightarrow:\sf{\sqrt{16} }\)
\(\Longrightarrow\sf{\sqrt{16}=4^2 }\)
Use the radical rule.
\(\Longrightarrow: \sf{4^2=\boxed{\sf{4}}\)
Therefore, the correct answer is 4.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
\(\±4\)
Step-by-step explanation:
Given expression: \(\sqrt{28 - 3(4)}\)
Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:
\(\implies\sqrt{28 - 3(4)}\)\(\implies\sqrt{28 - 12}\)\(\implies\sqrt{16}\)Usually, \(\sqrt{16}\) can also be written as \(\sqrt[2]{16}\). Therefore:
\(\implies\sqrt[2]{16} = \sqrt[2]{4 \times 4} = \± 4\)Therefore, the simplified expression is ±4.
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Which statement applies to the transformed function f(x)−4
?
The function is odd, and the graph would be shifted downward. option(2)
The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.
Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.
This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.
The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.
Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.
This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)
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Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
7/10 = y/100
what is y?
Answer:
7/10= y/ 100
Well the answer is
y=70
Solve the following system of equations. Enter the y coordinate of the solution. Round your answer to the nearest tenth. 5x+ 27= 21 -2x+6y=-34
The solution to the system of equations is x = ( -6/5 ) and y = -6.1
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Let the second equation be represented as B
Now , the value of A is
5x + 27 = 21 be equation (1)
Now , the value of B is
-2x + 6y = -34 be equation (2)
On simplifying the equations , we get
Subtracting 27 on both sides of the equation , we get
5x = -6
Divide by 5 on both sides of the equation , we get
x = -6/5
Substitute the value of x in equation (2) , we get
-2 ( -6/5 ) + 6y = -34
12/5 + 6y = -34
Subtracting 12/5 on both sides of the equation , we get
6y = -34 - 2.4
6y = -36.4
Divide by 6 on both sides of the equation , we get
y = -6.067
y = -6.1
Hence , the value of y is -6.1
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If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:
If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.
What is a Z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
Given the problem above, we need to find what the z-score is when P(x ≥ .75).
The formula for calculating a z-score is given by:
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
Where:
x is the value of 0.75\(\mu\) is the mean of 0.45And \(\sigma\) is the standard deviation of 0.40Now,
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)
\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)
\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)
\(Z=1 - 0.077337\)
\(Z\thickapprox 0.9227\)
Therefore, the z-score of P(x ≥ .75) is 0.9227.
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each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given
When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.
The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.
Replacing x with 1, we have:
ƒ(1) = -4(1) - 5
Simplifying further:
ƒ(1) = -4 - 5
ƒ(1) = -9
Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.
Let's break down the steps taken to arrive at the solution:
1. Start with the function f(x) = -4x - 5.
2. Replace x with 1 in the function.
3. Evaluate the expression by performing the necessary operations.
4. Simplify the expression to obtain the final result.
In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.
It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.
Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.
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A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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Help ASAP FIRST CORRECT ANSWER GET BRAINLY ANSWER
Diane holds an accounting degree what company might be interested in hiring Diane
Answer: EY
Step-by-step explanation:
Ey is a business' that need people with an accounting degree
Answer:
meaningfulness
Step-by-step explanation:
in psychology, is described as a process through which the high degree of salience or significance of a particular piece of information is being reflected. Information that encompasses meaning related to an individual is described as meaningful. However, meaningfulness is highly dependent on the understanding or comprehension of a particular meaning.
Given the rule, find the 8th term in the arithmetic
sequence.
an =3n + 4
Answer:
You simply substitute 8 for n
A₈ =3(8)+4=28
Ryan buys lunch for $16.83. If sales tax is 8.4%, How much money does Ryan need total for lunch
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)
If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?
Answer:
70% of the class is composed of men.
Step-by-step explanation:
14: 20*100 =
(14*100): 20 =
1400: 20 = 70
(03.05 HC)
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals? (1 point)
a
5 + 3p ≥ 30
b
5 + 3p ≤ 30
c
5p + 3 ≥ 30
d
5p + 3 ≤ 30
Given:
Score in first round = 5 points
Score in second, third and fourth rounds was identical.
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.
To find:
The inequality for the given problem.
Solution:
Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.
Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of 1s 3rd round + Score of 4th round
Score in first 4 rounds \(=5 + p + p + p\)
\(=5 +3p\)
A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.
\(5+3p\geq 30\)
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
The area of a rectangle is 4y+10.A.Represent the area of the rectangle in factored form.B.Use the factored form to give one possible set of dimensions for this rectangle
Answer:
2 ( 2y + 5 )
Step-by-step explanation:
→ Take out 2 as a factor
2 ( 2y + 5 )
Answer:
A = 2(2y + 5)2 and 11 (when y = 3)Step-by-step explanation:
The area equation is:
A = lwGiven:
A = 4y + 10This can be factored as:
A = 2(2y + 5)Let y = 3, then the dimensions are:
2 and 2*3 + 5 = 11When Ibuprofen is given for fever to
children 6 months of age up to 2 years, the
usual dose is 5 milligrams (mg) per kilogram
(kg) of body weight when the fever is under
102.5 degrees Fahrenheit. How much
medicine would be usual dose for a 18
month old weighing 21 pounds?
milligrams
Round your answer to the nearest milligram.
Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.
Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:
Convert the child’s weight from pounds to kilograms. One pound is equal to 0.4536 kilograms, so we multiply 21 by 0.4536 to get 9.5256 kilograms.Multiply the child’s weight in kilograms by the dose per kilogram. The dose per kilogram is 5 mg when the fever is under 102.5 degrees Fahrenheit, so we multiply 9.5256 by 5 to get 47.628 mg.Round the result to the nearest milligram. To round a number to the nearest milligram, we look at the digit after the decimal point. If it is 5 or more, we add one to the digit before the decimal point and drop the rest. If it is less than 5, we keep the digit before the decimal point and drop the rest. In this case, the digit after the decimal point is 6, which is more than 5, so we add one to the digit before the decimal point and drop the rest. The result is 48 mg.Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)
Find the exact value of cos(alpha - beta) given sin(alpha) = - 4/5 and cos(beta) = - 5/8 in Quadrant iii and B in Quadrant ii
Answer:
15-4(sqrt39)/40
Step-by-step explanation:
just did it on edge
Are My answers Correct? I NEED ANSWERS!
Answer: yes
Step-by-step explanation:
Question 9
Use Python to calculate how many number-based passcodes can be formed with 10 numerals (0 through 9). For a 1 numeral passcode, there would be 10 possibilities. For a 2 numeral passcode, each numeral is independent of the other, so there would be 10 times 10 possibilities. Using this information, print the amount of possible passwords that can be formed with 8 numerals. Note: Your result should be in the format of just a number, not a sentence.
The number of possible passcodes that can be formed with 8 numerals is 100,000,000.
For a 1 numeral passcode, there are 10 possibilities (0 through 9).
For a 2 numeral passcode, each numeral is independent of the other, so there would be 10 times 10 possibilities (10 x 10 = 100).
Following this pattern, for an 8 numeral passcode, each numeral is still independent of the others, so there would be 10 possibilities for each numeral. Therefore, the total number of passcodes is calculated by multiplying 10 by itself 8 times (10^8 = 100,000,000).
To obtain the result in Python, you can use the exponentiation operator (**):
```python
passcode_count = 10 ** 8
print(passcode_count)
```
This will calculate the total number of possible passcodes and print the result, which will be 100000000.
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