The expression that can be used to represent the volume of the given prism is 3 × 9 × 2 units³.
To determine the volume of a rectangular prism, we multiply the length, width, and height of the prism. In this case, the prism consists of unit cubes arranged in 3 layers, each layer being 9 units long and 2 units wide.
Therefore, the length of the prism is 3 units (3 layers), the width is 9 units (9 units long per layer), and the height is 2 units (2 units wide). By multiplying these dimensions together, we get the volume of the prism: 3 × 9 × 2 = 54 units³.
Hence, the expression 3 × 9 × 2 units³ represents the volume of the given prism made up of unit cubes.
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1 1/2 divided by (4 1/2- 5 1/8) =?
Answer:
12
Step-by-step explanation:
4 1/2 - 5 1/8 =5/8 divided by 7 1/2 = 120/10 which is simplified as 12
order the fractions from smallest to largest
1) 4/5, 6/10, 2/3, 1/2
2) 3/5, 1/2, 3/10, 1/3
3) 1/5, 2/4, 1/3, 1/10
Answer:
1. 1/2 6/10 2/3 4/5
2. 3/10 1/3 1/2 3/5
3. 1/10 1/5 1/3 2/4
Step-by-step explanation:
Hope this helps! :)
Noah has 6 meters of rope. How many pieces of rope of length 13 meter can he cut from it?
Answer:
0
Step-by-step explanation:
13 is visibly less then 6 meters, you cant cut any amount of rope with the same thickness that is 13 meters long from it.
What is the slope of (-3,1) and (1,-2)?
A. -4/3
B. 4/3
C. 3/4
D. -3/4
Answer:
Step-by-step explanation:
(-3,1) and (1,-2)
Slope is m= - 3/4
Answer:
D. -3/4
Step-by-step explanation:
Plug in you points into this formula: \(\frac{y2 - y1}{x2 - x1}\)
Plug in (-3,1) and (1,-2)
\(\frac{-2 - 1}{1 - (-3)}\\\\\frac{-3}{4} = -\frac{3}{4}\)
Hope this helps ya! Keep smiling!
I have been up all night doing math pls help p.s. it's algebra
Answer:
i don't know what the math is. i would like to try to help
Step-by-step explanation:
Answer:
where's the question the question is not there
2. The mayor of a town has money in the budget to build a library, an arena, or a swimming pool. The population of the town is 30,000. The mayor wonders how many people she should survey to help her decide what to build: 25, 100, 2000, 4000, 5000, 10,000, 15,000, or 20,000 people.
a) Which sample size would give the mayor the most confidence that she made the correct decision? Explain.
b) Why might the mayor not use this sample size?
Answer:
Step-by-step explanation:
a. 20,000 people because the more people you ask the more likely it is that you get a more accurate answer
b. because it would be more difficult to ask 20,000 people a question than 100 or 2000 people. it would take more time/effort/energy/resorces.
PLSSS, NEED ANSWER. Find the midpoint of the line segment with end coordinates of (-2,-5 and 3,-2
). Give coordinates as decimals where apropriate
Answer:
1, -3.5
Step-by-step explanation:
Answer:(0.5,-3.5)
Step-by-step explanation:
(-2+3/2)/2, (-5-2)/2
0.5,-3.5
one less than the quotient of a number and negative five
Let's say the unknown number is x
Quotient = is the answer to a multiplication question
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
We have to multiple -5 by x:
= -5x_---------------__-------------__-----------____-----------------------------------------
Lastly: we have to minus 1 from -5x
= -5x-1````````````````````````````````````````````````````````````````````````````````````````````````````````````````If you learned from my answer please rate it below from a scale of 1 to 5 using the stars to let me know how well you learned from my answer. Make sure to also press the like button (Thanks button) if you really liked my answer / explanation If it was incorrect or you didn't learn from it please review my answer accordingly (report if incorrect) ````````````````````````````````````````````````````````````````````````````````````````````````````````````````I only want to spread knowledgeable and truthful information let me know if it is incorrect or not helpful so I / Brainly can take it down. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Lastly, If your the owner of this question please mark me Brainliest if you really learned from my answer I really do appreciate it.Completing the question and solving the equation, it is found that the number is 20.
--------------------------------
We don't know the value of the number, so we call it x.The quotient of a number and negative five is:\(\frac{x}{-5} = -\frac{x}{5}\)
One less than the quotient is:\(1 - (-\frac{x}{5}) = 1 + \frac{x}{5}\)
--------------------------------
Supposing this is equals to 5.\(1 + \frac{x}{5} = 5\)
\(\frac{x}{5} = 4\)
\(x = 5 \times 4 = 20\)
Thus, the number is 20.
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12 cos theta minus 16 sin theta is equal to zero find 2 sin theta + cos theta
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
=> 2sinθ + cosθ = 2
Answer:
2sinθ + cosθ = 2
Step-by-step explanation:
12 cos θ - 16 sinθ = 0
=> 3 cos θ -4 sin θ = 0
=> tanθ = 3/4
let P = 3x
B = 4x
=> H= 5x
=> sinθ = P/H = 3/5
cosθ = B/H = 4/5
2sinθ + cosθ
= 2× 3/5 + 4/5
= 6/5+4/5
= 10/5
= 2
If g(x)=2ln(x+1) and f is a differentiable function of x, what is equivalent to the derivative of f(g(x)) with respect to x?
The equivalent expression for the derivative of f(g(x)) with respect to x is (f'(g(x))) (g'(x)), according to the chain rule.
Given that g(x) = 2ln(x+1) and f(x) is a differentiable function, we want to find the derivative of f(g(x)) with respect to x. We can use the chain rule to determine an equivalent expression for this derivative.
According to the chain rule, if we have a composite function y = f(g(x)), then the derivative of y with respect to x is given by the product of the derivative of f with respect to its argument multiplied by the derivative of g with respect to x.
In this case, g(x) is the inner function and f(u) is the outer function. Applying the chain rule, we have:
d/dx [f(g(x))] = f'(g(x)) g'(x)
Here, f'(u) represents the derivative of f with respect to its argument, and g'(x) represents the derivative of g with respect to x.
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Tina has 1/2 of a pan of cornbread left from a dinner party. She eats 1/2 of the leftover part the next night. How much of the whole pan does tina eat? Write and solve this equation
Answer:
Tina ate 3/4 of the whole pan of cornbread.
Step-by-step explanation:
Let the amount of cornbread in the initial pan be x.
After the dinner party, Tina has 1/2 of x left; That is 1/2x
If she eats 1/2 of the leftover, that will be 1/2 of 1/2x that is eaten. This will be 1/4x that is eaten.
To find the potion of the whole pan that Tina ate, we will add the potion she ate during the party to the portion of the leftover she ate the next night.
That will be 1/2x + 1/4x =3/4x
Therefore, Tina ate 3/4 of the whole pan of cornbread.
Which of the following is required to locate proportions of area under the normal curve? A. Compute a ztransformation. B. Find the probability of a z-score
A is correct. A. Compute a z-transformation is required to locate proportions of area under the normal curve. The z-transformation converts any normal distribution to a standard normal distribution with a mean of 0 and a standard deviation of 1.
Once the normal distribution is transformed to a standard normal distribution, the proportions of area under the curve can be located using a z-table or statistical software. Therefore, option A is correct.
Option B is incorrect because finding the probability of a z-score is not required to locate proportions of area under the normal curve. The probability of a z-score can be found once the proportion of area under the curve is located using the z-table or statistical software.
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The left and right ends of the normal probability distribution extend indefinitely, never quite touching the horizontal axis. True False
It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.
The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.
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What is the best number?: Five million, three hundred eighteen thousand and eight or 73 because it is a binary ____?____?Select one:a. 73 because it is a binary palindromeb. Five million, three hundred eighteen thousand and eight because it is a binary palindromec. All of the aboved. None of the above
The binary representation of 5,318,008 is 10100010010010101111000, whereas the binary representation of 73 is 1001001.
We notice that 73 is a binary palindrome while 5,318,008 is not, therefore we conclude that the best number is 73 and the answer is a.
Can someone please help on both questions!! Thank you
Question 7
Answer: A) 15---------------------
Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
================================================
Question 8
Answer: B) 17------------------------------
Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
angle A = angle Eangle B = angle Dangle C = angle FWe'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17
(Chapter 12) If u * v = 0 and u X v = 0, then u or v = 0
Therefore, in either partial derivatives, we have u = 0 or v = 0.
The given information implies that two vectors u and v satisfy:
u * v = 0, where * denotes the dot product between vectors.
u X v = 0, where X denotes the cross product between vectors.
From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.
From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:
|u X v| = |u| * |v| * sin(θ)
= 0
Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).
In the case where u and v are parallel, we have:
u * v = |u| * |v| * cos(θ)
= |u|²
= 0
This implies that |u| = 0, which means that u = 0.
In the case where u and v are anti-parallel, we have:
u * v = |u| * |v| * cos(θ)
= -|u|²
= 0
This again implies that |u| = 0, which means that u = 0.
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20 points! Does anyone know the answer to this?? Would be greatly appreciated if someone helped out :)
Answer:
74.1
Step-by-step explanation:
Lets split the integreal in accordance with f(x)
\(\int\limits^9_7 {f(x)} \, dx = \int\limits^8_7 {f(x)} \, dx +\int\limits^9_8 {f(x)} \, dx\\\\= \int\limits^8_7 {(8x + 1)} \, dx +\int\limits^9_8 {(-0.4x + 9)} \, dx\\\\= 8\int\limits^8_7 {x} \, dx + \int\limits^8_7 {} \, dx - 0.4 \int\limits^9_8 {x } \, dx + 9\int\limits^9_8 {} \, dx\\\\= 9 [\frac{x^2}{2} ]^{^{8}}_{_{7}} + [x]^{^{8}}_{_{7}} -0.4[\frac{x^2}{2} ]^{^{9}}_{_{8}} + 9 [x]^{^{9}}_{_{8}}\\\\= 9 [\frac{8^2 - 7^2}{2} ] + [8-7] -0.4[\frac{9^2 - 8^2}{2} ] + 9[9-8]\\\)
\(= 9[\frac{15}{2} ] + 1 - 0.4[\frac{17}{2} ] + 9\\\\= \frac{135}{2} + 1 - \frac{6.8}{2} + 9\\\\=\frac{128.2}{2} + 10\\\\= 64.1 + 10\\\\= 74.1\)
what is 14 + b = 4.5
PLEASE HURRY
Answer:
-9.5
Step-by-step explanation:
14+b=4.5
b=-9.5
Y=x-10 Y=-4x-5
Solve using substitution
Answer:
x = 1
Step-by-step explanation:
Both equations can be set equal to each other since they are both equal to y:
\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)
equate both equations !
x - 10 = -4x - 5
5x - 10 = -5
5x = 5
x = 1
therefore x = 1
the nicotine content in cigarettes of a certain brand is normally distributed with a standard deviation of begin mathsize 16px style sigma end style
The nicotine content in cigarettes of a certain brand is normally distributed with a standard deviation of σ (sigma) representing the amount of variability in the data.
The term "normally distributed" means that the nicotine content follows a normal distribution, which is a bell-shaped curve. The standard deviation (σ) is a measure of how spread out the data is.
In this case, it tells us how much the nicotine content values vary from the average value.
Therefore, the nicotine content in cigarettes of a certain brand is normally distributed, with the standard deviation (σ) representing the amount of variability in the data.
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If 4 units equal 36 inches, what is the value of 1 unit
Answer:
9 inches
Step-by-step explanation:
i divided 36 by 4
Answer:
9 inches
Step-by-step explanation:
You divide 36 by 4 which gives you 9 inch
Mark Brainliest Pls :(
The Student t, the chi-squared, and the F distributions Use the following Distributions tool to help you answer the following questions. 0123Chi-SquareF DistributionNormalt DistributionUniform Select a Distribution Suppose that random variable t follows a Student t distribution with degrees of freedom v = 21. E(t) is________, and V(t) is_________ . t0.01,21 = P(t > 0.859) =________ Suppose that random variable χ2 follows a chi-squared distribution with v = 9. E(χ2) =___________ , and V(χ2) =__________ . χ20.10,9 =____________ P(χ2 > 8.343) =___________ . Suppose that the random variable F follows an F distribution with 21 numerator degrees of freedom and 25 denominator degrees of freedom. E(F) =________ , and V(F) =___________ . F0.01,21,25 = __________ Suppose instead that F follows an F distribution with degrees of freedom v1= 25 and v2 = 21. Without using the Distributions tool, what is the value of F0.99,25,21? a. 0.374 b. 0.551 c. 0.245 d. 0.328
The problem involves finding the expected value and variance for the Student t and chi-squared distributions, as well as finding probabilities for certain values of the distributions.
Additionally, the problem requires finding the value of an F distribution with specific degrees of freedom. The expected value for the Student t distribution with v degrees of freedom is 0, and the variance is v/(v-2) when v>2. For the given case with v=21, E(t)=0 and V(t)=21/19=1.1053. The probability of t being greater than 0.859 with 21 degrees of freedom and a significance level of 0.01 is given by t0.01,21 = P(t > 0.859) = 0.1989. The expected value for the chi-squared distribution with v degrees of freedom is v, and the variance is 2v. For the given case with v=9, E(χ2)=9 and V(χ2)=18. The probability of χ2 being greater than 8.343 with 9 degrees of freedom and a significance level of 0.10 is given by χ20.10,9 = 3.325 and P(χ2 > 8.343) = 0.117. The expected value for the F distribution with v1 numerator degrees of freedom and v2 denominator degrees of freedom is v2/(v2-2) when v2>2, and the variance is (2v2^2(v1+v2-2))/((v1(v2-2))^2(v2-4)) when v2>4. For the given case with v1=21 and v2=25, E(F)=1.25 and V(F)=1.9024. The probability of F being less than 0.01 with 21 numerator degrees of freedom and 25 denominator degrees of freedom is F0.01,21,25 = 0.469. To find the value of F0.99,25,21 without using the Distributions tool, we can use the fact that F is the ratio of two independent chi-squared distributions divided by their degrees of freedom, and we can use the inverse chi-squared distribution to find the value. Therefore, F0.99,25,21 = (1/χ2(0.01,21))/(1/χ2(0.99,25)) = 1.5014/0.6793 = 2.211, which is not one of the answer choices provided.
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What expressions are equivalent to X+2y+X+2
A. 2(x+y+1)
B. 2x+4y+4
C. None of the above
Plz help
one degree of latitude is equal to which of the following? 10 minutes 60 seconds 30 seconds 60 minutes
Answer: one degree of latitude is equal to 60 Minutes
Steps- We Know that-
1 min = 60 sec
1 day = 24 hrs
Additionally, The hour hand measures the clock's 360 degree arcs twice throughout the day, i.e.
2*360= 720 degree
1 degree 2*360/12= 60 min
Hence proved 1 degree = 60 Minutes
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circumference of a circle with a radius of 3 inches
Answer:
Step-by-step explanation:
To find the answer, multiply the radius by 2. Then, multiply that product by 3.14 to get the answer. You can do it! Have a great day!
One house key weighs 1/2
ounce.
Which model represents the total weight in ounces of 5 house keys?
Answer: 5/2
Step-by-step explanation:
If 1 house key weighs 1/2 ounce,
Then do 5×1/2 which is 5/2
or \(\frac{1key}{5key} \frac{1/2ounce}{?}\)
With this cross multiply and get 1x=5/2
giving a total of 5/2 again when divided by 1.
If you put 25ml of concentrate in glass. How much water should be added
Answer:
Step-by-step explanation:
12
Answer:
50 ml
Step-by-step explanation:
50ml
which of the following conclusions is appropriate at a 5% level of significance? check all that apply.group of answer choicesimipramine is more effective because the mean time to recurrence of depression symptoms is longer for those taking imipramine.the differences observed in sample means do not provide strong evidence of a difference in mean recurrence time for the three treatment types in the population.there are statistically significant differences in mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.for the population of depressed people who take lithium or imipramine or who do not receive treatment, the mean time it takes for depression to reoccur differs.no conclusion is possible because conditions for use of the anova f-test are not met.
The conclusion that is appropriate at a 5% level of significance is this:C. There are statistically significant differences in the mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.
What is the correct conclusion?The correct conclusion is that the result obtained from the analysis is statistically significant, so the null hypothesis can be rejected. This also means that there are 1 in 20 chances of obtaining an error.
So, for a study checking the relationship between the mean time to recurrence of depression symptoms, the 5% level of significance would demonstrate a relationship.
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What is the inverse of f(x)=-3^x-3+4?
the difference of a number and 7
Answer:
x-7
Step-by-step explanation: