does this graph show a function?Explain how you know.

The sum of any negative number and its opposite is 0. So your answer is 0.

The sum of any negative number and its opposite is equal to 0.

your calculations for volume (pi x r^2 × h) and surface area (2 × pi × r (h+r)) are correct. However your ratio are incorrect. From the formulas the ratio of surface area to volume would be r×h:2(h+r)

Answer:

[tex]w=V/(lh)[/tex]

Step-by-step explanation:

Let

l------> the length of the base of the prism

w------> the width of the base of the prism

h------> the height of the prism

we know that

The volume of the prism is equal to

[tex]V=lwh[/tex]

Solve for w

That means-------> isolate the variable w

so

Divide both sides by (lh)

[tex]V/(lh)=lwh/(lh)[/tex]

Simplify

[tex]w=V/(lh)[/tex]

Answer:

a) There is a 66.7% chance that you were given box 1

b) There is a 80% chance that you were given box 1

Step-by-step explanation:

To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.

a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.

Box 1 = 1/10

Box 2 = 1/2

From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%

b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.

Box 1 = 1/10^2 = 1/100

Box 2 = 1/20^2 = 1/400

As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%

The solution involves using conditional probability and Bayes' theorem to find the chance of picking a defective lightbulb from a specific box. In part (b), the problem is slightly more complex, assuming the lightbulbs are selected independently.

This problem involves conditional probability. We're given two scenarios (a box is selected randomly, a lightbulb picked is defective, and two lightbulbs chosen are wrong). Let's use the following symbols: B1 (Box 1), B2 (Box 2), D (faulty lightbulb).

(a) The probability of a lightbulb being defective, given it came from Box 1 (P(D|B1)), is 0.10. The total likelihood of a lightbulb being inferior (P(D)) can be worked out from the total of defective lightbulbs divided by the total number of lightbulbs. The probability we're after, according to Bayes' theorem, is P(B1|D) = [P(D|B1)*P(B1)] / P(D).

(b) This question is more complex but can be solved similarly. Assuming the lightbulbs are selected independently, the probability of picking two defective lights from a given box is simply the square of picking one defective lightbulb from that box. Thus, we calculate P(2D|B1) = [P(D|B1)]^2 = (0.10)^2 = 0.01 (or 1%). Then, we use Bayes' theorem in part (a) to find P(B1|2D).

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Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

[tex]\dfrac{x}{8000}=\dfrac{3}{125}[/tex]

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

[tex]x=\dfrac{3}{125}(8000)[/tex]

[tex]x=0.024(8000)[/tex]

[tex]x=192[/tex]

So around 192 cell phones are expected to be defective out of 8000 phones.

Answer:

192

Step-by-step explanation:

We know that perimeter of the triangle its a+b+c=25

a=2b-2

b=b

c=b+3

Now we can substitute it into the formula

2b-2+b+b+3=25

4b+1=25          /-1

4b=24             /:4

b=6 - its b side

a=2*6-2

a=12-2=10 - its a side

c=6+3=9 - its c side

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Answer:

44 years old

Step-by-step explanation:

The deifference between their ages is always the same. So 23x2=46

but that is in 2 years so we -2 from 46 =44

Answer:

44

Step-by-step explanation:

Answer:

The length of 30 inches is longer

Step-by-step explanation:

we know that

[tex]1\ ft=12\ in[/tex]

Convert the length to inches

[tex]2\ ft=2(12)=24\ in[/tex]

therefore

[tex]30\ in>24\ in[/tex] ------> [tex]30\ in>2\ ft[/tex]

The length of 30 inches is longer

Answer:

  3x + 3y = 9

Step-by-step explanation:

Multiplying the given equation by 3 gives you ...

  3(x + y) = 3(3)

  3x + 3y = 9 . . . . . . matches the last choice

This is an equation for the same line as the given equation, so the lines will have infinitely many points in common (infinitely many solutions).

Answer:

3x + 3y = 9

Step-by-step explanation:

Answer:

45 units ^2

Step-by-step explanation:

make sure to divide the triangle and sqaure up when finding the area of this polygon..

hope this helps!!

Answer:

D

Step-by-step explanation:

Function composition substitutes more than just values or constants. It substitutes functions inside another function. Solve each expression by starting inner most and working to outermost. The expression f(x) ∘ g(x) means f(g(x)).

Let f(x) = x(2 - x) and g(x) = 3^x.

Begin by substituting g(x) in for x in f(x).

[tex]f(g(x)) = (3^x)(2-(3^x))[/tex]

The solution is D.

Answer:

[tex]\large\boxed{D.\ 12x^2-29x+14}[/tex]

Step-by-step explanation:

Use FOIL: (a + b)(c + d) = ac + ad + bc + bd

[tex](3x-2)(4x-7)=(3x)(4x)+(3x)(-7)+(-2)(4x)+(-2)(-7)\\\\=12x^2-21x-8x+14\qquad\qquad\text{combine like terms}\\\\=12x^2+(-21x-8x)+14=12x^2-29x+14[/tex]

Answer:

The answer is 1.4 miles ⇒ answer (d)

Step-by-step explanation:

* Let the balloon is at the vertex A, and the soccer fields

  at vertex B and the football field at vertex C

∴ m∠B = 20° 15' = 20.25°

∴ m∠C = 62° 30' = 62.5°

∴ m∠A = 180 - 20.25 - 62.5 = 97.25°

∵ BC = 4 miles

* By using the sin Rule:

∵ AC/sin(B) = BC/sin(A)

∴ AC = (BC)(sinB)/sin(A)

∴ AC = [4 × sin(20.25)] ÷ sin(97.25) = 1.395 ≅ 1.4 miles

∴ The distance from the balloon to the football filed = 1.4 miles

Answer:

1.4

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

We assume that the die and coins are non-bias.

If you roll a die once, you have 6 possible outcomes (anything from 1-6).

If you flip 3 coins once, you have 2 possible outcomes for each coin (either heads or tails). Multiply those 3 possibilities (2x2x2), you get 8.

Multiply 8 with 6, and you get 48 possible outcomes in sample space.

*In the sample space shown below, do the same combinations to all roll die outcomes to get the whole sample space (i.e., 2TTT, 3TTT, 4TTT etc.).

Answer:

95%.

Step-by-step explanation:

That would be about 95% of the observations.

The percentage within 1 standard deviation is about 68%.

Answer:

549

Step-by-step explanation:

The next larger whole number, 550, will round up to 600.

The largest whole number that rounds to 500 is 549 when rounding to hundreds.

Answer:

The pyramid's volume is [tex]125\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

[tex]V=(1/3)Bh[/tex]

where

B is the area of  base of pyramid

h is the height of the pyramid

Find the area of the base B

[tex]B=5^{2}=25\ in^{2}[/tex] -----> is a square

[tex]h=15\ in[/tex]

substitute the values

[tex]V=(1/3)(25)(15)=125\ in^{3}[/tex]

Answer:

The total surface area of this square pyramid is [tex]297\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

[tex]SA=b^{2} +4[\frac{1}{2}(b)(h)][/tex]

we have

[tex]b=9\ mm[/tex] ----> the length side of the square base

[tex]h=12\ mm[/tex] ----> the height of the triangular faces

substitute the values

[tex]SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}[/tex]

Answer:

[tex]\large\boxed{d_2=15\ cm}[/tex]

Step-by-step explanation:

The formula of an area of a kite:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

d₁, d₂ - diagonals

We have A = 120 cm² and d₁ = 16 cm. Substitute:

[tex]\dfrac{16d_2}{2}=120[/tex]

[tex]8d_2=120[/tex]           divide both sides by 8

[tex]d_2=15\ cm[/tex]

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

we have

[tex]3\sqrt{24} -2\sqrt{54}+2\sqrt{18}[/tex]

we know that

[tex]\sqrt{24}=\sqrt{2^{3}3}=2\sqrt{6}[/tex]

[tex]\sqrt{54}=\sqrt{3^{3}2}=3\sqrt{6}[/tex]

[tex]\sqrt{18}=\sqrt{3^{2}2}=3\sqrt{2}[/tex]

Substitute

[tex]3(2\sqrt{6}) -2(3\sqrt{6})+2(3\sqrt{2})[/tex]

[tex](6\sqrt{6}) -(6\sqrt{6})+(6\sqrt{2})[/tex]

[tex]6\sqrt{2}[/tex]

When simplifying the square roots in the expression 3sqrt(24) - 2sqrt(54) + 2sqrt(18), we find that the simplified solution is 6sqrt(2).

To simplify the radical expression 3 sqrt 24 - 2 sqrt 54 + 2 sqrt 18, we first need to break down each square root into its simplest form. In order to do this, we look for perfect-square factors (numbers like 4, 9, 16, 25 that have an integer as a square root) within each number:

3sqrt(24) = 3sqrt(4*6) = 6sqrt(6)

2sqrt(54) = 2sqrt(9*6) = 6sqrt(6)

2sqrt(18) = 2sqrt(9*2) = 6sqrt(2)

Because the sqrt(6) terms are like terms we can combine those, and then include the sqrt(2) term:

6sqrt(6) - 6sqrt(6) + 6sqrt(2) = 6sqrt(2).

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The amount that need to be pay is $250.

= 4% of 4,200 + $47 + $35

= $168 + $47 + $35

= $250

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Samantha needs to pay a total of $250 in extra charges, which includes $168 for the state tax, $47 for the license plate, and $35 for the state safety and emission inspection.

To determine how much Samantha needs to pay in extra charges for her automobile purchase, we need to calculate each component separately and then sum them up. Firstly, we calculate the state tax by multiplying the purchase price by the tax percentage:

Tax = Purchase Price × Tax Rate

Tax = $4,200 × 0.04 = $168

Next, we add the fixed costs for the license plate and state safety and emission inspection:

Total Extra Charges = Tax + License Plate Fee + Inspection Fee

Total Extra Charges = $168 + $47 + $35 = $250

Therefore, Samantha needs to pay $250 in extra charges, not including the price of the car.

The dot product is a scalar product, so you can eliminate the first two choices right away.

We have

[tex]v\cdot w=\langle3,4,7\rangle\cdot\langle6,-9,7\rangle=3\cdot6+4\cdot(-9)+7\cdot7=31[/tex]

Answer:

31

Step-by-step explanation:

v ⋅ w = (3)(6) + (4)(-9) + (7)(7)

v ⋅ w = 18 - 36 + 49

v ⋅ w = 31

Answer:

[tex]7.30\ mi[/tex]

Step-by-step explanation:

Let

b-----> the base of the missing measurement of the parallelogram

we know that

The area of the parallelogram is equal to

[tex]A=bh[/tex]

we have

[tex]A=27\ mi^{2}[/tex]

so

[tex]27=bh[/tex] ------> equation A

In this problem

[tex]h=3.7\ mi[/tex]

substitute the value in the equation A and solve for b

[tex]27=b(3.7)[/tex]

[tex]b=27/3.7=7.30\ mi[/tex]

Answer:

Set of all real numbers

Step-by-step explanation:

Given in the question the equation:

f(x) = ∛(x)

The domain of a cube root function is the set of all real numbers.

The interval notation (-∞ , ∞)

Cube Root of negative numbers exists:

Negative numbers can't have real number square roots, but negative numbers can have real number cube roots because when you are multiplying an odd number of negative numbers, the result is negative.

Example

(-2)³ = (-2)(-2)(-2) = -8

Answer:

k(qq)/r^2 times the length of the distnace

Step-by-step explanation:

Force times distance. The Electrical force is the only thing you have to find first.

The work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles is -kq^2/a.

To find the work required to move a particle with charge q from the other vertex to the center of the line joining the fixed particles, we need to calculate the electrostatic potential energy. The potential energy is given by the equation:

U = kqQ/r

where U is the potential energy, k is the electrostatic constant, q and Q are the charges, and r is the distance between the charges.

In this case, we have two charges of magnitude q and -q at the vertices of an equilateral triangle. The distance from the center of the triangle to each charge is a/2, where a is the length of the side of the triangle. Therefore, the potential energy is:

U = (1/4πε0)q(-q)/a

where ε0 is the permittivity of free space. Simplifying the expression, we get:

U = -kq2/a

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Answer:

the answer is D according to what i got

~batmans wife

Answer:

E. b/3 + 3

Step-by-step explanation:

For all real number b and c, if the product of c and 3 is b,

mathematically; 3c = b...(1)

To find the sum of c and 3 in terms of b;

Mathematically, the sum of c and 3 gives c+3...(2)

From equation 1, c = b/3

Substituting c = b/3 into equation 2, we will have;

(b/3) + 3 option E

= (b+9)/3

Answer: 45 in²

Step-by-step explanation:

3 stamps by 4 stamps = 12 stamps

9 in / 12 stamps = 0.75 in/stamp

6 stamps by 10 stamps = 60 stamps

60 stamps * 0.75 in/stamp = 45 in²

Answer:

x < 5

Step-by-step explanation:

Any value of x must have a bigger negative number than 5. In this case, formally you say that all x values must be LESS than 5 only.

Answer:

Step-by-step explanation:

Looks like the temperature is given by

[tex]t(x,y,z)=200e^{-x^2-3y^2-7z^2}[/tex]

We have gradient at any point [tex](x,y,z)[/tex]

[tex]\nabla t(x,y,z)=200e^{-x^2-3y^2-7z^2}(-2x,-6y,-14z)[/tex]

Then the rate of change of [tex]t[/tex] at [tex]p[/tex] in the direction of (5, -5, 6) is given by

[tex]\nabla t(4,-1,4)\cdot\dfrac{(5,-5,6)}{\|(5,-5,6)\|}=\left(-\dfrac{400}{e^{131}}(4,-3,28)\right)\cdot\dfrac{(5,-5,6)}{\sqrt{86}}=-\dfrac{40600}{e^{131}}\sqrt{\dfrac2{43}}[/tex]

which is very nearly 0.

The rate of change of temperature at the point p(4, -1, 4) in the direction towards the point (5, -5, 6) can be found by computing the gradient vector at p, obtaining a unit direction vector towards the other point, and calculating their dot product.

To find the rate of change in the direction towards the point (5, -5, 6), we need to compute the gradient vector of the temperature at point p(4, -1, 4), and then calculate the directional derivative in the direction towards the other point.

First, we calculate the partial derivative of t with respect to x, y, and z. These derivatives give us the gradient vector ∇t at point p. The gradient vector represents the direction of the steepest incline at p and its magnitude gives the rate of increase of t.

Next, we need to find the unit vector in the direction towards point (5,-5,6) from p. Subtracting the coordinates of p from the other point gives us the direction vector. Normalizing this vector gives us the unit direction vector.

Finally, the rate of change of temperature at p in the direction towards the other point is given by the dot product of ∇t at p and the unit direction vector. This is known as the directional derivative of t at p in the mentioned direction.

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