2. Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary
f(x)=-0.5x+2
g(x)=x³-5x² + 3

Step-by-step explanation:

Did you mean.

\( \text{what \: is \: the \:sin \: of } \: - \frac{4\pi}{3} \: ?\)

\( \: \)

\( = \sin( - \frac{4\pi}{3} ) \)

\( = \sin( - \frac{4 \times 180 \degree}{3} ) \)

\( = \sin( - \frac{4 \times \cancel{180} \degree}{ \cancel3} ) \)

\( = \sin( - 4 \times 60 \degree) \)

\( = \sin( - 240 \degree) \)

\( = \sin(0 - 240 \degree) \)

\( = \sin(360 \degree - 240 \degree) \)

\( = \sin(120 \degree) \)

\( = \frac{1}{2} \sqrt{3} \: \: \text{is \: the \: answer}\)

The result of the expression "(x - y)**2 > y" is -4>6 and it is false.

Information about the problem:

To solve this problem, we have to substitute the values of (x) and (y) and solve the equation:

(x - y)**2 > y

(4 - 6)**2 > 6

-2 ** 2 > 6

-4 > 6

The expression is false because - 4 is not higher than 6. The correct expression is:

(x - y)**2 < y

-4 < 6

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

1 and 4 form a straight angle

Step-by-step explanation:

just this one, all other options make no sense

Answer:

Simplified answer is A and D.

Step-by-step explanation:

Answer:

I hope to see you helped, please crown :)

Step-by-step explanation:

Here are the expanded and reduced forms of each expression:

J = 25x² - 9 + (5x-3)(7x+8)

J = 25x² - 9 + 35x² + 19x - 24

J = 60x² + 19x - 33

K = 9 - 48x + 64x² - (6+2x)(3-8x)

K = 9 - 48x + 64x² - 18 + 48x + 6x - 16x²

K = 48x² - 10

L = 100x² - 25 - (20x+10)(2x-4)

L = 100x² - 25 - 40x² + 100x + 80x - 200

L = 60x² + 180x - 225

M = (2x-3)(4x+2) + (4x-2)(7x-8)

M = 8x² - 6x + 14x² - 34x - 8x + 16

M = 22x² - 48x + 16

Answer:

I hope to see you helped, please crown :)

Step-by-step explanation:

Here are the expanded and reduced forms of each expression:

J = 25x² - 9 + (5x-3)(7x+8)

J = 25x² - 9 + 35x² + 19x - 24

J = 60x² + 19x - 33

K = 9 - 48x + 64x² - (6+2x)(3-8x)

K = 9 - 48x + 64x² - 18 + 48x + 6x - 16x²

K = 48x² - 10

L = 100x² - 25 - (20x+10)(2x-4)

L = 100x² - 25 - 40x² + 100x + 80x - 200

L = 60x² + 180x - 225

M = (2x-3)(4x+2) + (4x-2)(7x-8)

M = 8x² - 6x + 14x² - 34x - 8x + 16

M = 22x² - 48x + 16

Answer:

580 : 1120 : 104

Step-by-step explanation:

1.12 ml -> 1120 ml

hence,

580 : 1120 : 104

The function is given by ℎ()=(−1/2+9)(1−−1)h(s)=(s−1/2+9s)(1−s−1). To calculate the derivative of the function using the Product Rule, use the formula given below.

Product Rule: ℎ(x)=(x)′(x)+(x)′(x) where u(x) and v(x) are two differentiable functions.′(x) is the derivative of u(x).′(x) is the derivative of v(x). So, the derivative of ℎ() can be given as: ℎ′(s)=(s−1/2+9s)−11(−1/2+9)+(1−s−1)(1/2−9/2)(s−1/2+9s)1−2

= (s−1/2+9s)−11/2(−1/2+9)+(1−s−1)−2(1/2−9/2)(s−1/2+9s)

Derivative of the function ℎ() is ℎ′()=(s−1/2+9s)−11/2(−1/2+9)+(1−s−1)−2(1/2−9/2)(s−1/2+9s).

To find the derivative of the given function at s=16, substitute s=16 in the above formula to obtain the following answer.ℎ′(16)=(16−1/2+9(16))−11/2(−1/2+9)+(1−16−1)−2(1/2−9/2)(16−1/2+9(16))ℎ′(16) =13/16.

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Answer:

Option C : 173.8 km² is the correct answer.

Step-by-step explanation:

Given that:

Side length = 6 kilometers

A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.

Area of octagon is given by;

Area = \(2(1+\sqrt{2})a^2\)

Putting a=6

Area = \(2(1+\sqrt{2})(6)^2\)

Area = \((2+2\sqrt{2})(36)\)

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.

Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

B. x = 12.5

Step-by-step explanation:

We have similar quadrilaterals, so the ratios of corresponding sides are equal.

\( \frac{15}{12} = \frac{x}{10} \)

\(12x = 150\)

\(x = 12.5\)

Answer:

I would say b

Step-by-step explanation:

Answer:

The bacteria that live in the intestine of the rabbit (A)

Step-by-step explanation:

I did the test:

Answer:

$8

Step-by-step explanation:

$40:15 gallons

:3 gallons

So first you say what did you do to 15 to get three?

15÷3= 5

Now you divide forty by five since that is what you did to 15 to get three.

40÷5= 8

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

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Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

To find the standard form of the equation for the circle, we need to determine the radius and use the formula (x - h)^2 + (y - k)^2 = r^2, The standard form of the equation for the circle with center (9, -1/3) and tangent to the x-axis is (x - 9)^2 + (y + 1/3)^2 = (1/3)^2.

To find the standard form of the equation for the circle, we need to determine the radius and use the formula (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents the radius.

Given that the circle is tangent to the x-axis, we know that the distance between the center and the x-axis is equal to the radius. Since the y-coordinate of the center is -1/3, the distance between the center and the x-axis is also 1/3.

Therefore, the radius of the circle is 1/3.

Plugging the values of the center (9, -1/3) and the radius 1/3 into the formula, we get:

(x - 9)^2 + (y + 1/3)^2 = (1/3)^2.

This is the standard form of the equation for the circle with center (9, -1/3) and tangent to the x-axis.

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Answer:

Sin, Cos, Tan and others are used to calculate the ratios of the sides of a right angled triangle by taking a certain angle as the angle of reference.

On the other hand, Sin‐¹, Cos‐¹ and Tan-¹ are used to find the reference angle used to calculate the ratio of sides.

For this question,

we need to find which option should used to calculate the angle the slide makes with the vertical support.

So the option will have to be either A, C or E.

here, the base is 2.81m and hypotenuse is 3.64m.

we know, Cos = base / hypotenuse

So the angle is given by Cos-¹(2.81/3.64)

Option C

9514 1404 393

Answer:

  E.  sin⁻¹(2.81/3.64)

Step-by-step explanation:

If you understand the question, you know that the relation of interest is ...

  Sin = Opposite/Hypotenuse

  sin(•) = 2.81/3.64

  • = arcsin(2.81/3.64) . . . . matches choice E

If you want to find the angle, you need to use a function that gives the angle for a particular sine value. That function is called the arcsine function, or the inverse sine function. It is represented using the notation arcsin( ) or sin⁻¹( ). (The -1 is interpreted as being an exponent.)

__

You may recall the rules of exponents say ...

  s^-2 = 1/s^2

Then the simple reciprocal, or inverse, is ...

  s^-1 = 1/s^1 = 1/s

That is, an exponent of -1 signifies an inverse. This is the notation of choice to signify an inverse function. It is applied to the function name. (It does not mean the reciprocal of the function value.)

__

Additional comment

One needs to be careful with exponents on function names. An exponent of -1 on the name is generally understood to signify the inverse function.

Positive exponents greater than 1 can be ambiguous. Usually, we intend ...

  \(\sin^2(x) = (\sin(x))^2\)

Sometimes, we mean ...

  \(f(f(x)) = f^2(x) \ne (f(x))^2 = f(x)^2\)

The probability that a 0 is received can be found using conditional probability. Let's denote the event that a 0 is sent as S0, and the event that a 0 is received as R0. We want to find P(R0), the probability that a 0 is received.

Using the law of total probability, we can express P(R0) as the sum of the probabilities of receiving a 0 given that a 0 or a 1 was sent, weighted by the probabilities of sending a 0 or a 1:

\(P(R0) = P(R0|S0)P(S0) + P(R0|S1)P(S1)\)

We are given that the probe sends a 1 one-third of the time and a 0 two-thirds of the time, so we have:

P(S0) = 2/3
P(S1) = 1/3

We are also given the probabilities of receiving a 0 or a 1 correctly or incorrectly, so we have:

P(R0|S0) = 0.6
P(R1|S0) = 0.4
P(R0|S1) = 0.2
P(R1|S1) = 0.8

Plugging these values into the formula for P(R0), we get:

P(R0) = (0.6)(2/3) + (0.8)(1/3)
     = 1/2

Therefore, the probability that a 0 is received is 1/2, or 50%.

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Answer:

92832-31504=61328...........

To find the X value, we just subtract 31,504 from 92,832

Your answer would be 61,328

Answer:
The total number of zoos with fewer than 26 lizards is 18.
$\boxed{18}$.

What is stem and leaf plot ?
A Stem and Leaf Plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). Like in this example:
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0

Here is the stem and leaf plot table:
Stem Leaf

2      3 5 5 7 8

3      2 6 6

4      5

5      0

Step-by-step explanation:
To read the stem-and-leaf plot, each digit in the tens place is a "stem" and each digit in the ones place is a "leaf." For example, the first row of the plot represents all the zoos with a number of lizards between 00 and 09, and there are no zoos in that range. The second row represents all the zoos with a number of lizards between 10 and 19, and there are no zoos in that range either.

The third row represents all the zoos with a number of lizards between 20 and 29, and there are six zoos in that range: 226, 226, 268, 266, 276, and 288. The fourth row represents all the zoos with a number of lizards between 30 and 39, and there are eight zoos in that range: 386, 386, 426, 426, 467, 468, 486, and 486. Continuing in this way, we can see that there are 26 zoos in total, according to the stem-and-leaf plot.

To find the number of zoos with fewer than 26 lizards, we need to add up the counts for the rows with stems of 0 and 1. Looking at the plot, we see that there are no zoos with fewer than 20 lizards, but there are 6 zoos with 20-29 lizards, and 12 zoos with 30-39 lizards. Therefore, the total number of zoos with fewer than 26 lizards is 6 + 12 = 18.

The answer is $\boxed{18}$.

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Answer:

220 should be the answer.

Step-by-step explanation:

the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

Let's consider the direction ratios of the given points:

Point 1: (1, 2, 3)

Direction ratios: (1-0, 2-0, 3-0) = (1, 2, 3)

Point 2: (5, 7, 1)

Direction ratios: (5-1, 7-2, 1-3) = (4, 5, -2)

Point 3: (x, y, 2)

Direction ratios: (x-1, y-2, 2-1) = (x-1, y-2, 1)

Since the direction ratios should be proportional, we can set up the following proportion:

(1, 2, 3) / (4, 5, -2) = (x-1, y-2, 1) / (4, 5, -2)

This gives us the following ratios:

1/4 = (x-1)/4

2/5 = (y-2)/5

3/-2 = 1/-2

Simplifying these ratios, we get:

1 = x - 1

2 = y - 2

3 = 1

Solving these equations, we find:

x - 1 = 1

x = 2

y - 2 = 2

y = 4

Therefore, the values of x and y that make the points (1,2,3), (5,7,1), and (x,y,2) collinear are x = 2 and y = 4.

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Answer:

24,456 is 2

3 is whatever u say

and 1 is 641,086 divided my 41,616

Answer:

200

Step-by-step explanation:

10 × 20 = 200

have a good day

Answer: 9(3+2)

Step-by-step explanation:

The GCF of 27 and 18 is 9  because the factors of 27 are, 1,3,9 and 27 and the the factors of 18 are, 1,2,3,9 and 18.

The greatest factor that they both share is 9.

And 9 times three is 27 and 9 times 2 is 18.

Answer:

1st option

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \(\frac{k}{x}\) ← k is the constant of variation

To find k use (3, 8 ) , that is x = 3 when y = 8 , then

8 = \(\frac{k}{3}\) ( multiply both sides by 3 )

24 = k

y = \(\frac{24}{x}\) ← equation of variation

Answer:

link the number line

Step-by-step explanation:

The mass of the solid hemisphere H is 4πK.

To find the mass of the solid hemisphere H, we need to integrate the density over its volume and then multiply by the volume.

Let's set up the problem in spherical coordinates. In spherical coordinates, the density function can be written as ρ = Kr, where ρ is the density, K is the constant of proportionality, and r is the distance from the center of the base.

The volume element in spherical coordinates is given by dV = r^2 sin(θ) dr dθ dϕ, where r ranges from 0 to the radius of the hemisphere (4), θ ranges from 0 to π/2 (as we are dealing with the upper half of the hemisphere), and ϕ ranges from 0 to 2π.

Now, let's integrate the density over the volume of the hemisphere:

m = ∫∫∫ ρ dV

= ∫∫∫ K r (r² sin(θ) dr dθ dϕ)

= K ∫(0 to 2π) ∫(0 to π/2) ∫(0 to 4) r³ sin(θ) dr dθ dϕ.

Evaluating the innermost integral first:

∫(0 to 4) r³ dr = [r⁴/4] (0 to 4) = 4⁴/4 - 0 = 64.

Now we can substitute this result into the remaining double integrals:

m = K ∫(0 to 2π) ∫(0 to π/2) 64 sin(θ) dθ dϕ.

Evaluating the next integral:

∫(0 to π/2) sin(θ) dθ = [-cos(θ)] (0 to π/2)

= -cos(π/2) - (-cos(0))

= -(-1) - (-1) = 1 + 1 = 2.

Substituting this result into the final integral:

m = K ∫(0 to 2π) 2 dϕ

= 2K [ϕ] (0 to 2π)

= 2K (2π - 0)

= 4πK.

Therefore, the mass of the solid hemisphere H is 4πK.

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Answer:

24

Step-by-step explanation:

You do the opposite of whats states -54 divided by -6 because it says the number was multiplied which gives us 9 then since 15 was subtracted we instead add 15 which equals 24.

Answer:

the number is -5.7

Step-by-step explanation:

do everything in reverse operations,

-54 divided by -6= 9.3

9.3-15= -5.7

For proof you can do it yourself on a calculator.

Based on the right triangle altitude theorem, the term that completes the equation is: a. YZ.

The right triangle altitude theorem state that when an altitude is drawn to from the vertex of a right triangle to intersect the opposite side perpendicularly, the length of the altitude would be equal to the geometric mean of the line segments that are formed by the altitude on the right triangle's hypotenuse.

In other words, the square of the length of the altitude equals the product of the line segments formed, according to the right triangle altitude theorem.

XZ = altitude

WY = hypotenuse

WZ and YZ are the line segments formed.

Therefore, the equation would be:

XZ² = (WZ)(YZ) [right triangle altitude theorem]

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Answer:

I think it is none of the choices.

Step-by-step explanation: