Answers
Answer:
V=B.h=36.16=576 OK man
Step-by-step explanation:
\(\sf\longmapsto V=Height\times Area\:of\:Base\)
\(\sf\longmapsto V=35(16)\)
\(\sf\longmapsto V=560in^3\)
Related Questions
Find the product.
(-2 x2 ) 3 ·3 x
Answers
Answer: -24x^7
Step-by-step explanation:
pemdas so you do parentheses first therefore getting (2x^2)^3x3x
remove the parentheses
do -8x^6x3x
after that you end up with -24x^7
Simplify (-2x^2) ^3 by raising each term by 3:
-2^3x^6
Now you have
-2^3 x^6 times 3x
-2^3 = -8
x^6 tomes x = x ^7
-8 x 3 = -24
Answer is -24x^7
could you help with
Answers
We have 3 triangles that are related in the image
We will use the sine relations to determine the value of x
For triangle ABD
\(\begin{gathered} \frac{24}{\sin d}=\frac{16}{\sin b}=\frac{2x+4+2x}{\sin a} \\ \\ \frac{24}{\sin d}=\frac{16}{\sin b}=\frac{4x+4}{\sin a} \\ \\ \end{gathered}\)For triangle ABC
\(\frac{24}{\sin c1}=\frac{E}{\sin b}=\frac{2x+4}{\sin a1}\)For triangle ACD
\(\frac{16}{\sin c2}=\frac{E}{\sin d}=\frac{2x}{\sin a2}\)Now solving the system of equations we have
\(\begin{gathered} 4x+4=20 \\ 4x=20-4 \\ 4x=6 \\ x=4 \end{gathered}\)The answer would be x = 4 units
Which ordered pair is a solution to the system of equations?
{y=4x
{y = 3x + 2
-(1,4)
-(2,8)
-(3,11)
-(4,16)
Answers
Michael rode on the train 168.45 miles the first week of work and 149.85
miles the second week. ABOUT how many miles did he ride on the train
during the two weeks?
a.) a little less than 320
b.) a little more than 320
c.) a little less than 330
d.) a little more than 330
Answers
Answer:
A little less than 320
Step-by-step explanation:
Round the miles to 168 and 150
Add together 168 + 150 = 318
Answer: a. a little less than 320
i need help LIKE RN!
111.00 x 100000
Answers
Answer:
The answer is 11100000
Step-by-step explanation:
Answer:
11.100.000
Step-by-step explanation:
Use a calculator next time (if you want) :)
Find the area of a sector with a central angle of 180° and a diameter of 5. 6 cm. Round to the nearest tenth
Answers
The area of the sector with a central angle of 180° and a diameter of 5.6 cm is approximately 11.8 \(cm^2\).
To find the area of a sector, we need to know the central angle and the radius or diameter of the circle that the sector is a part of. In this case, we are given a central angle of 180° and a diameter of 5.6 cm.
Find the radius of the circle is the first step. We can do this by dividing the diameter by 2:
radius = diameter/2 = 5.6/2 = 2.8 cm
Next, we can use the formula for the area of a sector:
Area of sector = (central angle/360°) x π x \(radius^2\)
Plugging in the given values, we get:
Area of sector = \((180/360) * \pi * (2.8)^2\)
= \((1/2) * 3.14 * 2.8^2\)
= \(11.77 cm^2\)
Rounding to the nearest tenth, we get:
Area of sector ≈ 11.8 \(cm^2\)
Therefore, the area of the sector is approximately 11.8 \(cm^2\).
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Properties of real numbers , name the set of which each number belongs
1. -31.8
2. 6425
3. 2pi
4. 0
5. -√16
6. √24
Answers
The number sets to which each number belong are:
1. Rational.
2. Whole.
3. Irrational.
4. Whole.
5. Integer.
6. Irrational.
What is the set of the number -31.8?It is a terminating decimal, hence it is a rational number.
What is the set of the number 6425?It is a non-negative non-decimal number, hence it is a whole number.
What is the set of number 2pi?pi is an irrational number, as it is a non-terminating decimal, hence 2pi is also an irrational number.
What is the set of the number 0?It is a non-negative non-decimal number, hence it is a whole number.
What is the set of the number negative square root of 16?The square root of 16 is 4, hence -√16 = -4, which is a negative non-decimal number, hence it is an integer.
What is the set of the square root of 24?The square root of 24 is non-exact, hence it is a non-terminating decimal , so an irrational number.
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Solve the compound inequality: 4 < 3x – 1 < 20
Answers
Answer:
x = (5/3 , 7)
Step-by-step explanation:
if 196 soldiers are arranged in a square field how many soldiers are there in the first row?
Answers
Answer:
49
Step-by-step explanation:
We will need the Perimeter formula to find this out. The perimeter of the square in this problem is 196 for the soldiers. P=4a, 196=4a. Divide both sides by 4. 49 = a, so 1 side is 49.
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Answers
We can conclude that the Burger Quick has more wait time , because it has a larger median
What is number line?The horizontal straight lines known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.
What is horizontal line?Any straight line that travels from left to right or right to left is referred to as a horizontal line. If two points on a line share the same Y-coordinates, the line is said to be horizontal in coordinate geometry. The word "horizon" is the source of this.
Based on the given information, we can conclude that the Super Fast Food drive-thru typically has a shorter wait time compared to the Burger Quick drive-thru.
The box on the Super Fast Food graph, with a line in the box at 12, indicates that the middle 50% of wait times lie between 8.5 and 15.5 minutes, which is the reason for this. In contrast, the Burger Quick graph's box, which spans the range of 9.5 to 24 on the number line with a line in the box at the value of 15.5, shows that the middle 50% of wait times are found to be between 9.5 and 24 minutes. This shows that, on average, there is a lengthier wait at the Burger Quick drive-thru than at the Super Fast Food drive-thru.
the Burger Quick has more wait time , because it has a larger median
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Answer:
A
Step-by-step explanation:
The Median is larger then Super Fast foods which means it has a longer time.
25/30 reduced to lowest terms
Answers
Answer: 5/6.
Step-by-step explanation: . :)
Sydney measured a line to be 4.9 inches long. If the actual length of the line is 5.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
The percent error of the measurement of lengths is 5.8%.
Given that, Sydney measured a line to be 4.9 inches long.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here,
The actual length of the line is 5.2 inches
Difference of measure = 5.2-4.9 =0.3
The percent error = 0.3/5.2 ×100
= 0.0576×100
= 5.76%
≈ 5.8%
Therefore, the percent error of the measurement of lengths is 5.8%.
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Does anybody know this? ill give brainliest to anyone to answers it correctly
Answers
Answer:
25/3
Step-by-step explanation:
not confident if you know please make me correct
Answer:
\(25/3.\)
Step-by-step explanation:
\(if \: x = 5\\ if \: y = 3 \\ then \to \\ {9x}^{2} y {}^{ - 3} = \frac{ {9x}^{2} }{y{}^{3} } = \frac{9 \times {5}^{2} }{ {3}^{3} } \to \\ \\ {9x}^{2} y {}^{ - 3} = {5}^{2}3{}^{ - 1} \\ {9x}^{2} y {}^{ - 3} = \boxed{25/3} \to \: if \: x \: = 5 \: and \: y = 3.\)
♨Rage♨
M4 Lesson 20 Exit Ticketcharges $30 per hour to best complete the table, and answer the questions belowAmernt Anna Changes in Dollars5
Answers
1) Looking at the first table, we can see that this is a proportional relationship given by y=8.5x
So Anna charges:
Number of hours (x) | Amount (y)
1 8.5
2 17
5 42.5
8 68
11 93.5
a) The expression for her earnings in 11 hours:
y=8.5(11) ⇒ y = 68
$68
b) She'll earn $29.75. We can get it by plugging into that formula.
3 1/2 = 3.5
y= 8.5(3.5)
y=29.75
$29.75
c) To know how long, we plug 51 for y. Since x is for hours.
y=8.5x
51=8.5x Divide both sides by 8.5
x=6
She'll take 6 hours to get $51.00 working as a baby sitter.
statement and reason columns
Answers
Find both solutions to the equation (n + 3)^2 - 17 = 64. Explain or show your reasoning
Answers
Answer:
(n+3)^2=81
Step-by-step explanation:
(n+3)^2-17=64
ADD 17 to both sides
(n+3)^2-17+17=64+17
simplify
(n+3)^2=81
Find the optimal values of x and y using the graphical solution method: Min x + y subject to: x + y ≥ 7 5x + 2y ≥ 20 x ≥ 0, y ≥ 0.
Answers
The optimal values of x and y that minimize the objective-function x + y, subject to the given constraints, are x = 4 and y = 0.
We can find the corner points of the feasible region and evaluate the objective function at those points to determine the optimal solution.
Graph the constraints:
Start by graphing the inequalities:
x + y ≥ 7
5x + 2y ≥ 20
x ≥ 0
y ≥ 0
Plot the lines x + y = 7 and 5x + 2y = 20. To graph x + y = 7, plot two points that satisfy the equation, such as (0, 7) and (7, 0), and draw a line through them. To graph 5x + 2y = 20, plot two points such as (0, 10) and (4, 0), and draw a line through them.
Shade the region that satisfies the inequalities x ≥ 0 and y ≥ 0.
The feasible region will be the shaded region.
Identify the feasible region:
The feasible region is the shaded region where all the constraints are satisfied. In this case, the feasible region will be a polygon bounded by the lines x + y = 7, 5x + 2y = 20, x = 0, and y = 0.
Find the corner points:
Locate the intersection points of the lines and the axes within the feasible region. These are the corner points. In this case, we have the following corner points:
Intersection of x + y = 7 and x = 0: (0, 7)
Intersection of x + y = 7 and y = 0: (7, 0)
Intersection of 5x + 2y = 20 and x = 0: (0, 10)
Intersection of 5x + 2y = 20 and y = 0: (4, 0)
Evaluate the objective function:
Evaluate the objective function, which is x + y, at each corner point:
(0, 7): x + y = 0 + 7 = 7
(7, 0): x + y = 7 + 0 = 7
(0, 10): x + y = 0 + 10 = 10
(4, 0): x + y = 4 + 0 = 4
Determine the optimal solution:
The optimal solution is the corner point that minimizes the objective function (x + y). In this case, the optimal solution is (4, 0) because it has the smallest objective function value of 4.
Therefore, the optimal values of x and y that minimize the objective function x + y, subject to the given constraints, are x = 4 and y = 0.
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What is the solution of this equation w+7=13
Answers
Answer:
6
Step-by-step explanation:
Answer:
w=6
Step-by-step explanation:
(backwards method)
13-7=6
so
w=6
what is 2 + -5 - -13
Answers
Answer:
10.
The answer is 10.
Answer:
10
Step-by-step explanation:2+-5=-
-3- - 13 turns into positive so -3 + 13
in three combined decks of cards, what is the fewest number of cards you must pick at random to be guaranteed at least one four-of-a-kind?
Answers
four is the minimal because you want to draw all four to the four of a kind
5. Karen is a softball cooch. Her annual salary is $35,980. If she worked 230 hours this post season, what was her hourly rate?
Answers
To find her hourly rate we need to divide her total salary by the number of hours she worked. In this case we have:
\(\begin{gathered} \text{rate}=\frac{35980}{230} \\ \text{rate}=156.4348\text{ \$ per hour} \end{gathered}\)The total length of these planks is 92 metres. Work out the number of planks of length 2 metres in Ben workshop.
Answers
Answer: 13
Step-by-step explanation:
Please help!
A survey found the distribution of some
families by size, and is as follows.
Family Size 2 3 4 5 6 7 8
Frequency 87 50 61 31 16 3 2
Find the probability of family with
3 people.
P(3) = [?]
Answers
Total families = 87 + 50 + 61 + 31 + 16 + 3 + 2 = 250
The probability of a family having 3 people is the frequency of families with 3 people divided by the total number of families:
P(3) = 50/250 = 1/5 = 0.2
Therefore, the probability of a family having 3 people is 0.2 or 20%.
two angles are complementary. the measure of the larger angle is 26 degrees more than three times the measure of the smaller angle. what is the measure of each angle?
Answers
the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.
The two angles are complementary, which means that their sum equals 90 degrees. Let x be the smaller angle, and y be the larger angle.
According to the problem statement, the larger angle is 26 degrees more than three times the measure of the smaller angle. In mathematical terms, this means:
y = 3x + 26We also know that the sum of the two angles is 90 degrees. In mathematical terms, this means:
x + y = 90 Substituting the expression for y from the first equation into the second equation,
we get: x + (3x + 26) = 90Simplifying this equation,
we get: 4x + 26 = 90 Subtracting 26 from both sides of the equation,
we get: 4x = 64Dividing both sides of the equation by 4,
we get: x = 16Substituting this value of x into the equation for y,
we get: y = 3(16) + 26 = 74
Therefore, the measure of the smaller angle is 16 degrees, and the measure of the larger angle is 74 degrees.
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suppose a population has mean 47. we create a sampling distribution for the mean using groups of size 30. what will be the expected mean of the sampling distribution?
Answers
The expected mean of the sampling distribution, with groups of size 30, will also be 47. This is because the Central Limit Theorem states that as sample size increases.
The sampling distribution of the mean approaches a normal distribution with a mean equal to the population mean. Therefore, with a large enough sample size of 30, the expected mean of the sampling distribution will be the same as the population mean of 47.
Given that the population has a mean of 47, when creating a sampling distribution for the mean using groups of size 30, the expected mean of the sampling distribution will be the same as the population mean. The expected mean of the sampling distribution with groups of size 30 will be 47.
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Can someone please help me real quick?
Answers
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
3.5p us less than or equal to 40
Explanation:
P stands for a package of hot dogs. Multiplying the package by its cost will tell you how many you can buy with 40 dollars
Using the given sample data, calculate the following measures of dispersion, to one decimal place.
Answers
Range = 15
Variance = 24.5Explanations
Standard deviation = 5.0
The formula for calculating the range is expressed as:
Range = Highest value - Lowest value
Range = 24 - 9
Range = 15
Calculate the variance
The formula for calculating the variance is expressed as:
\(Variance=\frac{\sum(x-\overline{x})^2}{n-1}\)Find the mean
\(\begin{gathered} mean=\frac{9+13+15+18+19+20+24}{7} \\ mean\text{ }\overline{x}=\frac{118}{7}=16.9 \end{gathered}\)Determine the variance
\(\begin{gathered} S^2=\frac{(9-16.9)^2+(13-16.9)^2+(15-16.9)^2+(18-16.9)^2+(19-16.9)^2+(20-16.9)^2+(24-16.9)^2}{7-1} \\ S^2=\frac{146.9}{6} \\ S^2\approx24.5 \end{gathered}\)Determine the standard deviation
\(\begin{gathered} S=\sqrt{variance} \\ S=\sqrt{24.5} \\ S\approx5.0 \end{gathered}\)How many solutions are there to the inequality x1 + x2 + x3 ≤ 11, where x1, x2, and x3 are nonnegative integers? [Hint: Introduce an auxiliary variable x4 such that x1 + x2 + x3 + x4 = 11.]
Answers
The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.
We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.
We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.
We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:
| ** | * | ****
This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.
We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.
Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.
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f(x) = -x + 5; g(x) = 2f(x)
Answers
Answer:
∴ g(x) = -2x + 10
Step-by-step explanation:
Since f(x) = -x + 5,
g(x) = 2[f(x)]
= 2(-x + 5)
= -2x + 10
1. 3x-4=232. 9-4x=173.6(x-7)=364. 2(x-5)-8= 34
Answers
Solving those simple linear equations, by isolating the variable, and combining like terms.
1.3x-4=23
3x -4=23
3x=27
x=9
2) 9-4x=17
-4x =17-9
-4x=8
4x=-8
x=-2
3) 6(x-7)=36 Distributing the factor
6x -42=36
6x=36+42
6x=78
x=13
4) 2(x-5)-8=34 Distributing the factor
2x -10-8=34
2x -18=34
2x=52
x=26