Answer:
v = 11 · 11 · 11
OR
v = 11³
Step-by-step explanation:
The volume of a cube is l · w · h
Because all edges of a cube are the same length, l, w, and h all equal 11. Then you just plug the numbers in.
hope this helps :)
subset the data set to include only x2, x3, and x4. how many missing values are there in these three variables?
The subset of the data set with x2, x3, and x4 would include 6 missing values.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
1. Subset the data set to include only x2, x3, and x4.
2. Count the number of missing values in each variable.
3. Add the number of missing values for each variable together.
4. The total number of missing values in these three variables is 6.
The subset of the data set with x2, x3, and x4 would include 6 missing values.
Subset the data set to include only x2, x3, and x4.
The complete question is :
Subset the data set to include only x2, x3, and x4. How many missing values are there in these three variables?
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A container holds 3.5 ounces of tablets. How many grams does the container hold?
The container holds 99.223 grams of tablets.
How to convert ounces to grams?One-sixteenth of a pound is represented by the weight measurement called an ounce (oz). A slice of bread and a pencil are two items that weigh about one ounce. One fluid ounce is the same as one-eighth of a cup in terms of volume. A medication cup has a volume of roughly one liquid ounce.
To convert ounces to grams, we can use the conversion factor 1 oz = 28.3495 g.
So, the container holds:
\($3.5\ \text{oz} \times 28.3495\ \frac{\text{g}}{\text{oz}} = 99.223\ \text{g}$\)
Therefore, the container holds 99.223 grams of tablets.
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Find the exact value of the trigonometric function given
that
sin u = −5/13
5
13
and
cos v = −9/41
9
41
.
(Both u and v are in Quadrant III.)
sec(v − u)
We can find sec(v - u) by taking the reciprocal of cos(v - u). The exact value of sec(v - u) is -533/308.
To find the exact value of the trigonometric function sec(v - u), we need to determine the values of cos(v - u) and then take the reciprocal of that value.
Given that sin(u) = -5/13 and cos(v) = -9/41, we can use the following trigonometric identities to find cos(u) and sin(v):
cos(u) = √(1 - sin^2(u))
sin(v) = √(1 - cos^2(v))
Substituting the given values:
cos(u) = √(1 - (-5/13)^2)
= √(1 - 25/169)
= √(169/169 - 25/169)
= √(144/169)
= 12/13
sin(v) = √(1 - (-9/41)^2)
= √(1 - 81/1681)
= √(1681/1681 - 81/1681)
= √(1600/1681)
= 40/41
Now, we can find cos(v - u) using the following trigonometric identity:
cos(v - u) = cos(v) * cos(u) + sin(v) * sin(u)
cos(v - u) = (-9/41) * (12/13) + (40/41) * (-5/13)
= (-108/533) + (-200/533)
= -308/533
Finally, we can find sec(v - u) by taking the reciprocal of cos(v - u):
sec(v - u) = 1 / cos(v - u)
= 1 / (-308/533)
= -533/308
Therefore, the exact value of sec(v - u) is -533/308.
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6 groups of _ hundredths is 0.24
The number is 4 hundredth.
That is, 6 groups of 4 hundredths is 0.24.
What is Number system?
A system of writing to express the number is called number system.
The expression is given as;
''6 groups of _ hundredths is 0.24''
Now,
Let a number = x hundredth.
Then, By the given condition we can written as,
⇒ 6 groups of x hundredth is 0.24.
After solving,
⇒ 6 × x = 0.24
⇒ x = 0.24 / 6
⇒ x = 0.04
Thus, The number is 4 hundredth.
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Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.
The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.
Let's begin the iterations:
Iteration 1:
\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)
The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).
Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)
Iteration 2:
\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)
The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).
After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).
Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
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Pls help me thank you
The capacity of the container is 350 cm³. 50 marbles with the radius of 0.54 cm are put into the container. Find the volume of water needed to fill up the container.
\(use \: \pi = \frac{22}{7} \)
Answer:
267.0075429 cm cubed.
Step-by-step explanation:
The formula for the volume of a sphere is 4/3 * pi * r^3. So, the volume of a single marble is...
4/3 * (22/7) * 0.54^3
= 88/21 * 0.157464
= 0.6598491429
Multiply that by 50 and you get 32.99245715 cm cubed.
The capacity is 350 cm cubed, so 350 - 32.99245715 = 267.0075429 cm cubed of water is needed to fill up the container.
Graph the following features: Slope = −2 Y-intercept = 6
Answer and Step-by-step explanation:
To graph the equation with a slope of -2 and a y-intercept of 6, we can use the slope-intercept form of the equation of a line, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Substituting in the given values, we get:
y = -2x + 6
To graph this line, we can start by plotting the y-intercept, which is the point (0, 6). Then, we can use the slope to find additional points on the line. The slope of -2 means that for every increase of 1 in the x-direction, the y-value decreases by 2. So, we can plot another point by starting at the y-intercept and moving down 2 units and to the right 1 unit. This gives us the point (1, 4). We can continue this pattern to plot more points and draw the line.
Here's what the graph looks like:
Step-by-step explanation:
We are given the slope -2 and the y intercept -6. So we can create a linear equation using this data:
\(y=-2x+6\)
Now all we have to do is graph it.
(graph below)
Which angle measure is coterminal with the angle 7π/12? A) 15° (B) 125° (C) 285° (D) 465°
The angle measure that is coterminal with the angle 7π/12 is 285°. So, the correct option is C.
In trigonometry, coterminal angles are two angles in standard position with the same terminal side. It's not hard to notice that two angles are coterminal if one angle is a multiple of 360° added or subtracted from the other. For example, if an angle is -750°, it is coterminal with an angle of 30°.
To find coterminal angles with a given angle, add or subtract any multiple of 360 degrees (for degrees) or 2π (for radians). In this case, to find the coterminal angle for the angle 7π/12, you need to add or subtract 2π until you get an angle that's between 0 and 2π.7π/12 is equal to (2*π + 3π/12). As a result, it is a full circle with a remainder of 3π/12, or π/4.
The number of radians must be between 0 and 2π (360°) to find the coterminal angle. The number of radians to subtract or add is obtained by evaluating the number of full circles between the two angles.285° is equal to 5π/6 (in radians).
To determine the coterminal angle, add 2π to the angle (which is the equivalent of a full circle) so that the number of radians is between 0 and 2π.285° + 360° = 645°
In radians, 645° is equal to 11π/6, which is equivalent to 285°. Therefore, 285° is the angle measure that is coterminal with the angle 7π/12.
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What is the volume of this prism ???
Answer:
Step-by-step explanation:
can somebody help me
(w - 1) (w + 1) = 8
Answer:
w = ±3
Step-by-step explanation:
(w - 1) (w + 1) = 8
FOIL the left hand side.
w^2 -w+w-1 = 8
w^2 -1 =8
Add 1 to each side.
w^2 -1+1 = 8+1
w^2 = 9
Take the square root of each side.
sqrt(w^2) = sqrt(9)
w = ±3
During each second of braking, an automobile slows down by about 10 miles per hour
a.) Plot the points (0, 60) and (6, 0). Draw a line through the points. What do the points represent?
b.) What does the line represent?
c.) Write an equation of the line in slope-intercept form.
PLEASE HELP!!!! HURRY!
Plot the points (0, 60) and (6, 0).The graph is attached below
(0,60) is the initial point (starting point)
(6,0) is the final point (destination)
the line represents the distance covered over time
Equation of the line is \(y=-10x+60\)
Given :
Automobile slows down by about 10 miles per hour
Plot the points (0, 60) and (6, 0)
Lets draw a line through the points .
The graph is attached below
The point (0,60) is the initial distance to travel
When time = 0 hours then distance is 60 miles
(6,0) represents
when times = 6 hours then distance is 0 miles
(0,60) is the initial point
(6,0) is the final point
The graph represents the distance travelled over time
the line represents the distance covered over time
Lets find equation of a line y=mx+b
where m is the slope and b is the y intercept
y intercept is (0,60) . so b=60
now find out slope m using two points
\((0,60) and (6,0)\\slope m=\frac{y_2-y_1}{x_2-x_1} =\frac{0-60}{6-0} =-10\\m=-10\)
Equation of the line is \(y=-10x+60\)
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Find the expression that represents the
value of v.
2(v - 8) = n+y
Answer:
\(v = \frac{n+y+16}{2}\)
Step-by-step explanation:
2(v-8) = n+y
Distribute
2v-16 = n+y
Move -16 to the other side
2v = n+y+16
Divide everything by 2
\(v = \frac{n+y+16}{2}\)
Answer:
\(v = \frac{n+y}{2} +8\)
Step-by-step explanation:
To find the expression that represents v, we have to isolate v. Our first step is distributing the 2 to both v and 8.
(2(v) - 2(8))
2v - 16 = n + y
Now add 16 to both sides.
2v = n + y + 16
Now divide both sides by 2, this will isolate v and give us the initial value of it.
\(v = \frac{n+y}{2} +8\)
help me please, i just need an answer
Answer:
6
Step-by-step explanation:
when the population standard deviation is known, the confidence interval for the population mean is based on the:
The confidence interval for the population mean is based on the approximately normal distribution
What is approximately normal distributionApproximately normal distribution: A distribution is approximately Normal when the Normal distribution can be used as an approximate distribution. This is common when the number of samples or parts making up a distribution grows; for example, if you have 100 coin tosses the resulting Binomial distribution is, for most purposes, approximately Normal
When the population standard deviation is known,
The confidence interval for a population mean with a known standard deviation is based on the fact that the sampling distribution of the sample means follow an approximately normal distribution.
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a management dilemma defines the research question. (True or False)
Answer:
False
Step-by-step explanation:
Help please ? It’s about linear
Answer:
D.
Hope this helps
Alberto ran at a speed of 3 m/hr. After he ran 6 miles, Omar ran in the same direction with a speed of 4.6 m/hr.
How many hours will it take Omar to catch up to Alberto.
Answer:
1.3 Hours (1 Hour and 18 Minutes)
Step-by-step explanation:
It took Alberto 2 hours because he ran 3 miles an hour and the total distance he ran was 6 miles.
Now, you have to divide 6 (Alberto's distance) by 4.6 (Omar's rate) and you get 1.3043.
Round the answer to get 1.3
Answer: jjijmjn
Step-by-step explanation:
2. Mari sells $0.75 per cup of lemonade for those 18 people, will she get the same amount of money?
yes or no
Answer:
no
Step-by-step explanation:
she will get 13.50$ in return
Please help ASAP!!! Find the area of the kite.
Answer:
its 1260
Step-by-step explanation:
HELP!!
what is the domain AND range for each problem!
f(x) = 1.5x + 10
g(x) = 25
h(x) = 15 - 3x
Answer:
1. Domain: \((-\infty, \infty)\), Range: \((-\infty. \infty)\)
2. Domain \((-\infty, \infty)\), Range: 25
3. Domain: \((-\infty, \infty)\), Range: \((-\infty. \infty)\)
Step-by-step explanation:
The domain and range of all non-constant linear functions is \((-\infty, \infty)\).
The circumference of a circle is 17π ft. What is the area, in square feet? Express your answer in terms of \piπ.
The answer for this question is 72.25pi
The area of the circle is 72.25π ft².
What is Surface Area?For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has.
As per the given data:
circumference of a circle = 17π ft
To find the area of the square:
Area = πR²
For radius (R):
2πR = 17π
R = (17/2) ft
Area = π(17/2)²
= 72.25π ft²
Hence, the area of the circle is 72.25π ft².
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HELPP ME
About what percent of Australia's total medals were gold?
A. 5%
B. 2%
C. 50%
D. 20%
Answer:
20%
Of Australia's total percent were gold!
PLEASE HELP GIVING POINTs :))!!
Answer:
C (1, - 4)
Answer is C.
A (4, - 1)
Answer could be A as well.
Not sure.
a company is marketing an investment opportunity to four potential customers. the company believes that its probability of making a sale is 0.5 for each of the first three customers but that it is only 0.1 for the fourth customer. the customers' purchases are independent of one another. calculate the probability that at most two customers purchase the investment
The probability that at most two customers purchase the investment is 0.1875 or 18.75%.
To calculate the probability that at most two customers purchase the investment, to calculate the probabilities for each possible outcome: 0, 1, and 2 customers purchasing the investment, and then sum them up.
Let's consider the customers as A, B, C, and D, with D being the fourth customer.
Probability of 0 customers purchasing:
P(0 customers) = (1 - probability of sale)²number of customers
= (1 - 0.5)²4
= 0.0625
Probability of 1 customer purchasing:
P(1 customer) = (probability of sale)²1 ×(1 - probability of sale)²3 (since 3 customers won't purchase)
= 0.5²1 ×0.5²3
= 0.5 × 0.125
= 0.0625
Probability of 2 customers purchasing:
P(2 customers) = (probability of sale)²2 × (1 - probability of sale)²2 (since 2 customers will purchase)
= 0.5²2 ×0.5²2
= 0.25 × 0.25
= 0.0625
Now sum up these probabilities to find the probability that at most two customers purchase the investment:
P(at most 2 customers) = P(0 customers) + P(1 customer) + P(2 customers)
= 0.0625 + 0.0625 + 0.0625
= 0.1875
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At a sale, the price of a washing machine
was reduced by 12% to $440. What was the original price of the washing machine?
Answer:
$500
Step-by-step explanation:
100-12=88
88/100=440/x
88x=100(440)
88x=44000
/88. /88
x=500
hopes this helps
Nutrition: A cat food manufacturer uses fish and beef by-products. The fish contains 12 g of protein and 3 g of fat per ounce. The beef contains 6 g of protein and 9 g of fat per ounce. Each can of cat food must contain at least 60 g of protein and 45 g of fat. Find a system of inequalities that describes the possible number of ounces of fish and beef that can be used in each can to satisfy these minimum requirements. Graph the solution set. Find its vertices.
A cat food manufacturer uses fish and beef by-products.
Let the number of ounces of fish = x
Let the number of ounces of beef = y
The fish contains 12 g of protein and 3 g of fat per ounce.
fish = 12x + 3y
The beef contains 6 g of protein and 9 g of fat per ounce.
Each can of cat food must contain at least 60 g of protein and 45 g of fat.
so,
\(\begin{gathered} 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}\)Beside the above inequalities both of x and y must be greater than 0
so, the system of inequalities will be:
\(\begin{gathered} x\ge0 \\ y\ge0 \\ 12x+6y\ge60 \\ 3x+9y\ge45 \end{gathered}\)The following figure represents the solution of the system:
As shown in the graph, the vertices are:
( 0 , 10 ) , (3 , 4 ) , ( 15 , 0 )
HELPPPPPP ME PLZ ITS PAST DUE
Answer:
A. 88 square inches
Step-by-step explanation:
Trust me. It's right.
idk what to do I’m confused???
Answer:
don't know sorry .....
I m also confused
Step-by-step explanation:
\(hi\)
have a nice day ✌️✌️✌️
Please help me solve these questions
Answer:
4. -22
5. 43
6. 0
7. -22
8. 96
9. -31
10. -20
11. 23
12. 6
13. -19
14. -7
15. 20
16. -3
17. -20
18. 8
19. -4
20. 26
21. 25
22. 6
23. -61
24. -31
25. 4
26. -34
27. 50
28. 9
29. -20
30. 74
6. Which of the following inequalities is true? (1 point)
√36 <-6
1/4> 0.5
15/2 < √81
-3>-0.7
Answer:
15/2 < √81
15/2=7.5
√81=9
7.5<9