Answer:
Vc = (π/3)✓17 ≈ 4.12 ft³
Step-by-step explanation:
h = ✓(4²+1²)
h = ✓17
V = πr²h/3
V = π(1)²✓17/3
V = (π/3)✓17 ≈ 4.12
What is -1
What is the answer
Answer:
1
Step-by-step explanation:
The answer is actually just positive 1.
Absolute value is the direct opposite of a number with a positive value on a number line. However, the absolute value is always answered in a positive form of the number meaning that no matter what the number is (even if it's a positive number) the answer will always be that same number, but in positive form.
Remember, if a number is in between two of these " | " then the answer will be that same number but in positive form.
Hope this helps and have a nice day.
-R3TR0 Z3R0
Find the area of the triangle.
Answer:
182.82812
Step-by-step explanation:
Find the range given the Domain of {0,1,2,3,4} for the function f(x)=x2 - 4x + 3
Answer:
x
∈
R
y
≤
1
Step-by-step explanation:
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
see graph below for reference
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Find the amplitude and the period of the graphed function; please show work or steps.
Answers:
Amplitude = 2Period = 5pi/2===========================================
Explanation:
The lowest point occurs when y = -2. The highest point occurs when y = 2.
The vertical distance between the highs and lows is 4 units (since 2-(-2) = 2+2 = 4). This cuts in half to get 4/2 = 2.
The amplitude is 2. It measures the vertical distance from the midline to either the peaks or valleys.
-----------------------------
Note that this curve has two lowest points and one highest point shown. What we'll do is shift the graph over to the right so that each of those lowest points snap to a grid point. The lowest point on the left will move to where x = -pi, while the lowest point on the right snaps to x = 3pi/2. We'll keep each point at the same y coordinate.
The horizontal distance from x = -pi to x = 3pi/2 is
(3pi/2) - (-pi) = 3pi/2 + 2pi/2 = 5pi/2
This represents the horizontal distance from the left valley point to the right valley point. This is one full period of the curve. After we arrive at the right valley point, we repeat the process of going up and coming back down in this exact same fashion. The process is repeated forever to generate the cosine curve. The curve repeats itself every 5pi/2 units along the x axis.
Side note: any phase shift of a curve will have the same period as the original curve. This is why we're allowed to shift left or right to help find the period.
2^x-4x=0 find the value of x in the equation
9514 1404 393
Answer:
x ≈ 0.309906932381 or 4
Step-by-step explanation:
There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.
Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.
A model rocket is built to the scale 1:20, or 1 inch - 20 feet. The actual rocket is 4440 feet
tall. How tall is the model rocket in inches?
A 11.1
B. 18.5
C. 222
D. 240
Answer:
it is 222
Step-by-step explanation:
1440 divided by 20 :)
you roll two 6-sided number cubes
where is the question I dont see it
pls help me I'm stuck on this one too
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.
A. y= (x + 2)2
B. y = (2x + 1)2
o c. y = 2x2 + 5
D. y = (x + 3)2
Answer A is correct. C is correct.
Step-by-step explanation:
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
What is the factorization of the polynomial below?
-X^2-15x - 56
Answer:
[tex]-\left(x+7\right)\left(x+8\right)[/tex]
Step-by-step explanation:
[tex]-X^2-15x - 56\\\\\mathrm{Factor\:out\:common\:term\:}-1\\\\=-\left(x^2+15x+56\right)\\\\=-\left(x+7\right)\left(x+8\right)[/tex]
Answer:
[tex]-(x+7) (x+8)[/tex]
Step-by-step explanation:
[tex]-x^{2} - 15x-56[/tex]
Write - 15x as a difference
[tex]-x^{2} -7x-8x-56[/tex]
Factor out - x from the expression
[tex]-x(x+7)-8x-56[/tex]
Factor out - 8 from the expression
[tex]-x (x+7)-8(x+7)[/tex]
Factor out - (x + 7) from the expression
[tex]-(x+7)x(x+8)[/tex]
Please help me it’s due today at 11:59
Select the correct answer. Find the product. 3(x+4)(x-5) A. 3x2 − 11x − 20 B. 3x2 − 20x C. 3x2 − 3x − 60 D. 3x2 − x − 20
The weight of adult female panthers in one habitat area are normally distributed with a mean of 82 pounds and a standard deviation of 9.8 pounds. What percent of the panthers weigh less than 76 pounds?
Answer:
27.09% of the panthers weigh less than 76 pounds
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 82 pounds and a standard deviation of 9.8 pounds.
This means that [tex]\mu = 82, \sigma = 9.8[/tex]
What percent of the panthers weigh less than 76 pounds?
The proportion is the pvalue of Z when X = 76. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 82}{9.8}[/tex]
[tex]Z = -0.61[/tex]
[tex]Z = -0.61[/tex] has a pvalue of 0.2709
0.2709*100% = 27.09%
27.09% of the panthers weigh less than 76 pounds
the equation of a line that is perpendicular to y = 2x + 1 passes through the point (4,-3)
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 4)
y + 3 = -1/2x + 2
y = -1/2x - 1
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
Baldwin Family walked 4/5 of mile in 4/9 of an hour what is their unit rate in mph
Answer:
1.8 mphStep-by-step explanation:
Since we know how much they walked in 4/9 of an hour, we will divide 4/5 by 4/9 to get 4/9 to one. They went 1 4/5 mph or 1.8 mph. I hope this helps!A line passes through the point (-8, -4) and has a slope of 5/2. Write and equation in slope intercept form for this line.
Answer:
i know this isn't the answer but this should help...
Step-by-step explanation:
I drive to McDonalds which is 3x and 4y and is 24 miles altogether but I want to compare it with burger king which is 4x and 3y and 22 miles. Can You work out x and y miles?
do not send a link to download
Answer: so here is what you have to do
Step-by-step explanation:Determine Whether a Number
Is a Solution to an Equation
2 Solve Linear Equations
3 Determine Whether an Equation Is a Conditional Equation, Identity, or Contradiction
Preparing for Linear Equations
Before getting started, take this readiness quiz. If you get a problem wrong, go back to the section cited and review the material.
P1. Determine the additive inverse of 5.
P2. Determine the multiplicative inverse of - 3.
P3. Use the Reduction Property to simplify 15 # 5x.
P4. Find the Least Common Denominator of 3 and 5 .
8 12
P5. Use the Distributive Property to remove the parentheses: 61z - 22
P6. What is the coefficient of - 4x?
P7. Simplify by combining like terms: 41y - 22 - y + 5 P8. Evaluate the expression -51x + 32 - 8 when x = -2
P9. Isx = 3inthedomainof 2 ?Isx = -3inthe domain? x + 3
[Section R.3, p. 21] [Section R.3, pp. 23–24]
[Section R.3, pp. 25–26] [Section R.3, pp. 27–28]
[Section R.3, pp. 29–30] [Section R.5, p. 41] [Section R.5, pp. 41–43] [Section R.5, pp. 40–41]
[Section R.5, pp. 43–44]
In Words
In the equation 2
2 + 5 is the left side of the equation and 0 is the right side. In this equation only the left side contains the variable, y. In the equation 4 +5=-2x+10,theexpression
4 + 5 is the left side of the equation and - 2 + 10 is the right side. In this equation both sides have expressions that contain the variable, x.
1 Determine Whether a Number Is a Solution to an Equation
An equation in one variable is a statement made up of two expressions that are equal, and in the statement, at least one of the expressions contains the variable. The expres- sions are called the sides of the equation. Examples of equations in one variable are
2y + 5 = 0 4x + 5 = -2x + 10 3 = 9 z+2
In this section, we will concentrate on solving linear equations in one variable.
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
The measures of two complementary angles have a ratio of 2:3. What is the measure of the larger angle?
The measure of the larger angle is
°.
Step-by-step explanation:
complementary angles add up to 90
x +2/3x = 90
5/3x = 90
5x = 270
x = 54
the other angle is 36
double checking
54 * 2 ÷ 3 = 36
Write a denominator for 3/8 and 2/12
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
Evaluate b2−16a+5 when a=1/2 and b=7.
Answer:
11
Step-by-step explanation:
7x2=14
16x1/2=8
14-8=6
6+5=11
The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.
Evaluation of the given equation;Since the equation is
[tex]b^2 - 16a + 5[/tex]
So,
[tex]= (7)^2 - 16(0.5) + 5[/tex]
= 49 - 8 + 5
= 46
Hence, The evaluation of the given equation when the a is 0.5 and b = 7 so it should be considered as the 46.
Learn more about an equation here: https://brainly.com/question/14170257
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
What is the correct answer?
Answer:
6 units to the right, 3 units down
Step-by-step explanation:
According to a survey, about 19% of all Americans are without health insurance. Assume that this estimate is reasonably accurate. Suppose that you select a random sample of 46 Americans. (a) Calculate the expected number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.) (b) Calculate the standard deviation of the number of Americans without health insurance in the sample. Answer: (Keep at least four decimal places.)
Answer:
a) 8.74
b) 2.6607
Step-by-step explanation:
For each American, there are only two possible outcomes. Either they are without health insurance, or they are not. In the sample, each person is independent of any other person, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
According to a survey, about 19% of all Americans are without health insurance.
This means that [tex]p = 0.19[/tex]
Suppose that you select a random sample of 46 Americans.
This means that [tex]n = 46[/tex]
(a) Calculate the expected number of Americans without health insurance in the sample.
[tex]E(X) = np = 46*0.19 = 8.74[/tex]
(b) Calculate the standard deviation of the number of Americans without health insurance in the sample.
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{46*0.19*0.81} = 2.6607[/tex]
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 2
Answer:
Step-by-step explanation:
y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24