A student was asked to graph the boundary of a signal availability region. The cell phone tower is at the origin of the coordinate plane and the signals can be received up to
49 kilometers. The equation of the boundary region is 2? + y? = 2401. Which statement is true?

Answer:

The cost over time is a proportional relationship

Step-by-step explanation:

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality"

Answer:

Cos°=B/H

=5/9

=0.5

=1/2

Cos60°=1/2

Therefore, x=60°

The equation of the parabola in standard form, with a vertex at (0, 2), x = 0 as the axis of symmetry, and passing through the point (−4,−2), is:

y = (-1/4)x^2 + 2

To write the equation of a parabola in standard form with the given information, we can start by using the vertex form of a parabola:

y = a(x - h)^2 + k

where (h, k) represents the vertex of the parabola.

Given that the vertex is at (0, 2), we have h = 0 and

k = 2.

So far, the equation becomes:

y = a(x - 0)^2 + 2

Simplifying, we have:

y = ax^2 + 2

Next, we need to determine the value of 'a' by substituting the coordinates of the point (−4,−2) into the equation:

-2 = a(-4)^2 + 2

-2 = 16a + 2

16a = -2 - 2

16a = -4

a = -4/16

a = -1/4

Substituting this value of 'a' back into the equation, we have:

y = (-1/4)x^2 + 2

Therefore, the equation of the parabola in standard form, with a vertex at (0, 2), x = 0 as the axis of symmetry, and passing through the point (−4,−2), is:

y = (-1/4)x^2 + 2

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Answer:

Step-by-step explanation:

y=−2x + 1 over 3

x intercept (1,0)

y-intercept(s): (0,1/2)

hope this helps, you didnt give an  exact thing to solve about them.

Answer:

(a-3)(a+3) is the answer

\(\implies {\blue {\boxed {\boxed {\purple {\sf {55}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( {a}^{2} - 9\)

Substituting the value "\(a = 8\)" in the above expression, we have

➺ \( \: {8}^{2} - 9\)

➺ \( \: (8 \times 8) - 9\)

➺ \( \: 64 - 9\)

➺ \( \: 55\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

The shaded region of segments is given in the attachment.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The diameter is the length of the line through the center that touches two points on the edge of the circle.

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord's endpoints.

A sector of a circle is a pie-shaped part of a circle made of the arc along with its two radii.

Hence, the shaded region of segments is given in the attachment.

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Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

Answer:

g(-3) + f(-3) = -162

(f - g)(2) = -49

Step-by-step explanation:

f(x) = -4x + 15

g(x) = 7x³

1)

g(-3) + f(-3)

Evaluate g(-3) and f(-3).

g(-3) = 7(-3)³, f(-3) = -4(-3) + 15

7(-3)³ + -4(-3) + 15

Evaluate (-3) to the third power.

7(-27) + -4(-3) + 15

Multiply.

-189 + 12 + 15

Add.

-177 + 15

-162.

2)

(f - g)(2) = f(2) - g(2)

Evaluate f(2) and g(2)

f(2) = -4(2) + 15

f(2) = -8 + 15

f(2) = 7

g(2) = 7(2)³

g(2) = 7(8)

g(2) = 56

Now subtract the result of g(2) from the result of f(2)

(f - g)(2) = 7 - 56

(f - g)(2) = -49.

Answer:

answer is D

Step-by-step explanation:

speed = distance divide by time.

299.8/ 7 .5

40

If a tailor bought 5 yards of cloth he used  \(2\frac{3}{8}\) yards of cloth to make 1 pair of pants and he made 2 pairs, the length of the cloth that left is 1/4 yards

The total length of the cloth that he bought = 5 yards

The length of cloth that he used to make 1 pair of pants = \(2\frac{3}{8}\) yards

Convert the mixed fraction to the simple fraction

\(2\frac{3}{8}\) yards = 19/8 yards

The length of cloth required to make 2 pants = 2 × The length of cloth that he used to make 1 pair of pants

Substitute the values in the equation

= 2 × (19/8)

= 19/4 yards

The remaining cloth = The total length of the cloth that he bought - The length of cloth required to make 2 pants

= 5 - (19/4)

= 1/4  yards

Hence, the length of the cloth left is 1/4 yards

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Answer:

13p

Step-by-step explanation:

because the P it have 1 hidden there

12p + 1p = 13p

Answer:

336

Step-by-step explanation:

We know that a cube has 6 faces which means we can use this equation:

56 x 6 = 336

336 square inches is the answer.

Perimeter=56in

So area of one side=

Cube has 6sides

So total protection:-

Answer:

\(\displaystyle r=\frac{3t}{t-1}\)

Step-by-step explanation:

We are given the formula:

\(\displaystyle t=\frac{r}{r-3}\)

And we are asked to make r the subject of the formula.

We can multiply both sides by r - 3. This reduces the denominator on the right-hand side:  

\(t(r-3)=r\)

Distribute:

\(rt-3t=r\)

Subtracting rt from both sides yields:

\(-3t=r-rt\)

Factoring:

\(-3t=r(1-t)\)

Divide and simplify:

\(\displaystyle \begin{aligned} r & = \frac{-3t}{1-t} \\ \\ & = \frac{3t}{t-1}\end{aligned}\)

In conclusion:

\(\displaystyle r=\frac{3t}{t-1}\)

Answer:

f(2)=2,g(-2)=1,f(-5)=23 and g(0)=0

Step-by-step explanation:

F(2 )=-3×2+8

F(2)=-6+8

F(2)=2

g(-2)=-2^2+5

g(-2)=-4+5

g(-2)=1

F(-5)=-3×-5+8

F(-5)=15+8

F(-5)=23

g(0)=0^2+5

g(0)=0+5

g(0)=5

Using 3 different methods, we can find that YZ = 25m

Method 1:

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations -

sin(θ) = (opposite side)/Hypotenuse

cos(θ) = (adjacent side)/Hypotenuse

tan(θ) = (opposite side)/(adjacent side)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent side

YZ = opposite side.

We want to find YZ, so with the known things, we can use the first relation:

sin(30°) = YZ/50m

YZ = sin(30°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 2:

We know that the sum of the measure of all the internal angles of a triangle is always equal to 180°.

In a right-angled triangle, we have an angle equal to 90°.

Then we can write -

Z + 90° + 30° = 180°

Z = 180° - 90° - 30°

Z = 60°

From this angle, the side YZ is the adjacent side, then we can use the second trigonometric relation:

cos (60°) = YZ/50m

YZ = cos(60°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 3:

With the same angle of 60° we could find side XY, the opposite side as follows:

sin(60°) = XY/50m

XY = sin(60°) * 50m

XY = √3/2 *50m

XY = 25m

Now that we know one of the sides, we can use the last trigonometric relation-

tan(60°) = XY/YZ

tan(60°) = 43.3m/YZ

YZ =  43.3m/tan(60°)

YZ = 25m

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The complete question is -

Describe three ways to determine the measure of segment YZ.

Triangle XYZ is shown. Angle XYZ is a right angle and angle ZXY is 30 degrees. The length of hypotenuse XZ is 50 meters.

Which shows the following expression after the negative exponents have been eliminated

\(a^{2} b^{2}\)

Given the algebraic expression:

\(\frac{a^{3}b^{-2} }{ab^{-4} }, a\neq 0, b\neq 0\)

We are required to eliminate the negative exponents and find the resulting expression.

Using the Negative Exponent Law of Indices: \(x^{-y} = \frac{1}{x^{y} }\)

Using the Division Law of Indices: \(\frac{t^{x} }{t^{y} } = t^{x-y}\)

Therefore:

\(\frac{a^{3}b^{-2} }{ab^{-4} } = a^{3-1}.b^{-2-(-4)}\\ \\ Simplifying\\ \\a^{3-1}.b^{-2-(-4)} = a^{2}b^{-2+4}\\ \\ =a^{2} b^{2}\\\\Therefore:\\\\\frac{a^{3}b^{-2} }{ab^{-4} } =a^{2} b^{2}\\\)

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To find c, cdf and P(. 1 ≤ X <. 5), the calculation is given.

Suppose that X has the density function f (x) = cx² for 0 ≤ x ≤ 1 and f (x) = 0 otherwise.
a. Find c.
To find c, we need to use the fact that the integral of the density function over the entire range of x should equal 1. That is,
∫0¹ f(x) dx = 1
Substituting the given density function, we get
∫0¹cx² dx = 1
Integrating and simplifying, we get
c(1/3) = 1
Solving for c, we get
c = 3
So, the value of c is 3.
b. Find the cdf.
The cdf is the integral of the density function from the lower limit of x to a given value of x. That is,
F(x) = ∫₀ˣ f(t) dt
Substituting the given density function and simplifying, we get
F(x) = ∫₀ˣ 3t²dt
Integrating and simplifying, we get
F(x) = x³
So the cdf is F(x) = x³
c. What is P(.1 ≤ X < .5)?
To find this probability, we need to find the difference between the cdf at the upper limit and the cdf at the lower limit. That is,
P(.1 ≤ X < .5) = F(.5) - F(.1)
Substituting the cdf that we found earlier, we get
P(.1 ≤ X < .5) = (0.5)³ - (0.1)³
Simplifying, we get
P(.1 ≤ X < .5) = .125 - .001
P(.1 ≤ X < .5) = 0.124
So the probability that X is between .1 and .5 is .124.

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Answer:

The narrator checks the old man at every night at midnight

Step-by-step explanation:

Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

If the four children are asked to line up and hold hands, then the number of ways they can line up is the same as the number of permutations of four objects, which is 4 factorial or 4! = 4 x 3 x 2 x 1 = 24.

The answer is:

Work/explanation:

To find how many different ways the children can line up, we will find the factorial of 4 (because there are 4 children).

The factorial of 4 simply means we multiply it by itself, then the numbers that are less than 4 (these numbers are nonzero and non-negative).

The factorial is denoted as x!.

So now, we calculate the factorial of 4:

\(\sf{4!=4\times3\times2\times1}\)

\(\sf{4!=24}\)

Answer:

X = 275 + 95p

Step-by-step explanation:

Hello,

This question requires us to write an expression to find how much he would've saved over a certain period of time.

Initial deposit = $275

Franklin's monthly deposit = $55

Franklin grandmother's deposit = $40

Let the amount he would've saved over a certain period of time p = x

X = 275 + (55 + 40)p

X = 275 + 95p

Eg, how much would he have saved in 5 months

X = 275 + 95(5)

X = 275 + 475

X = $750

I.e in 5 months, he would've saved $750

Answer:

No solutions

Step-by-step explanation:

Let's solve your system by elimination.

10x − 9y = −10

20x − 18y = −28

Multiply the first equation by -2, and multiply the second equation by 1.

−2(10x − 9y = −10)

1(20x − 18y = −28)

Becomes:

−20x + 18y = 20

 20x − 18y = −28

Add these equations to eliminate x:

0 = −8

Answer:

x=55.5

Step-by-step explanation:

First add 94 and 17 to get 111

Then subtract 111 from 180 and get 69 for the third angle on the triangle on the right.

69 is a vertical angle so the other angle is 69 as well.

180-69 is 111 and 111/2 is 55.5 because x is equal to the other angle on the triangle.

Answer: Calculator online for a rectangular prism. Cuboid Calculator. Calculate the unknown defining surface areas, lengths, widths, heights, and volume of a rectangular prism with any 3 known variables. Online calculators and formulas for a prism and other geometry problems.

Step-by-step explanation: mark me branliest

The mass of oxygen in the oxidation reaction is 1.48g

Oxidation is the gain of oxygen. Reduction is the loss of oxygen. For example, in the extraction of iron from its ore.

According to Classical or earlier concept oxidation is a process which involves the addition of oxygen or any electronegative element or the removal of hydrogen or any electropositive element.

According to electronic concept oxidation is defined as the process in which an atom or ion loses one or more electrons.

In this process shown in the equation, this is the oxidation of iron to form it's ore.

The mass of oxygen in the reaction can be calculated by subtracting the mass of iron from it's ore.

Mathematically, this is calculated as

Mass of oxygen = mass of ore - mass of iron

mass of oxygen = 20.91 - 19.43

mass of oxygen = 1.48g

The mass of oxygen is 1.48g

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Answer:

\({ \tt{ - 2 {x}^{2} + 5x - 3 = 0 }} \\ { \tt{2 {x}^{2} - 5x + 3 = 0}} \\ { \tt{(2x - 3)(x - 1) = 0}} \\ { \tt{x = \frac{3}{2} \: and \: 1}}\)

Answer:

2 i think

Step-by-step explanation:

sorry if im wrong

Answer:

The first one is y=1/2

The second one is -17/27

The third one is y=0

The last one is -3/11

Step-by-step explanation:

Not really sure what this was asking. Hope I helped.

The equation of the line is y = -(3/4)x - 6.

A line is a perfectly straight, one-dimensional shape that extends endlessly in both directions and has no thickness.

Given that, the line passes through the points (-4,-3) and has a slope of -3/4.

The equation of the line in point-slope form is:

y - y₁= m (x -x ₁)

Substitute (x₁,y₁) = (-4,-3) and m = -3/4 into the above equation,

y - (-3) = -3/4 (x - (-4))

y + 3 = -3/4 (x + 4)

y = -(3/4)x -3 -3

y = -(3/4)x - 6

Hence, the equation of the line is y = -(3/4)x - 6.

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Answer:

The supplementary angle of the first angle is 180 degrees minus the measure of the angle, which would be 156 degrees. The supplementary angle of the second angle is 180 degrees, so the sum of the two supplementary angles is 336 degrees.

Answer:

You're giving points because you have some to spare and have no need of them anymore. You're done with everything and there's no point to having... points (wow me, great job). So you're going to brighten somebody else's day by donating some of your points.

Step-by-step explanation:

Geez I'm in a down mood sorry

Answer:

Because you are a kind person with more than you need. That is one reason out of many.

Step-by-step explanation: