Select the correct answer.
Which point is a solution to the system of inequalities graphed here?
ys 2x + 2
ya -5x + 4
y 710
-10
10
7-10

Answer:

Step-by-step explanation:

8.25*12= $99.00

answer below.

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Answer:

Step-by-step explanation: Let the total no of cars in the collection be X

Number of black cars = (1/4)X

Number of red cars = (5/8)X

Number of white cars= 7

Summation of all the cars,

(1/4)X + (5/8)X + 7 = X

X= 56

Therefore,

Number of black cars = (1/4) of 56 = 14

Number of red cars = (5/8) of 56 = 35

Number of white cars = 7

Answer:

Its c have a nice day! <3

Step-by-step explanation:

A linear function is a function in which we add multiple of a constant.

Given data:

We have

Clearly, we have add multiples of 480 to 18,250.

So, the given function represents a linear function.

So, the correct option is (a).

Answer:

251.33, the reason is because the formula for the volume of a cylinder is height x π x (diameter / 2)2, where (diameter / 2) is the radius of the base (d = 2 x r), so another way to write it is height x π x radius2.

Step-by-step explanation:

hope that makes sense

To determine the missing value in the inverse variation between the given pairs of points (5.5, 8) and (x, 4), we can apply the inverse variation equation:

y = k/x

where y represents the dependent variable, x represents the independent variable, and k is the constant of variation.

Using the first point (5.5, 8), we can substitute the values into the equation:

8 = k/5.5

To find the value of k, we can multiply both sides of the equation by 5.5:

8 * 5.5 = k

44 = k

Now that we know the value of k is 44, we can substitute it into the equation to find the missing value using the second point (x, 4):

4 = 44/x

To solve for x, we can multiply both sides of the equation by x:

4x = 44

Dividing both sides of the equation by 4:

x = 44/4

x = 11

A testable prediction of what will happen under a specific set of conditions is known as a hypothesis.

A hypothesis is a tentative explanation or prediction about a phenomenon or relationship between variables, based on limited evidence or prior knowledge. It is often formulated as a statement that can be tested through research or experimentation.

A hypothesis typically includes an independent variable (the variable that is being manipulated or studied) and a dependent variable (the variable that is being measured or observed). The hypothesis also includes a prediction about how the independent variable will affect the dependent variable.

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Answer:

\(x=7\)

Step-by-step explanation:

First, add like terms. In this case, you would add \(8\) to both side to get rid of it from the left side, and with its like term, \(20\).

\(4x-8=20→4x=28\)

Then, divide both side by 4 to isolate \(x\).

\(4x=28→x=7\)

The answer is \(x=7\).

Answer:

A. 44+4x

B. The error is that Ben forgot to distribute his terms by multiplying 7 by 15 so instead of 30x+7 he should have gotten 30x+105

C. (44+4x)-(12x+20) to solve for difference in perimeter

Step-by-step explanation:

Answer:202.5

Step-by-step explanation:

S1=(9*5)/2=22.5

S2=(20*9)=180

S=S1+S2=22.5+180=202.5

Answer:

The third option

Step-by-step explanation:

It perfectly represents -24/3.

The area of the rug 138.961 feet^2

Polygon is a two-dimensional shape with straight sides that are fully closed  whose formation takes place with straight lines.

How to determine this

The shape of a Decagon is 10 sides

In the shape of a regular decagon,

The area of the rug = \(\frac{5}{2} * a^{2} \sqrt{5 + 2\sqrt{5} }\)

Where each sided = 4.25 feet

Area of the rug = \(\frac{5}{2} * 4.25^{2} \sqrt{5 + 2\sqrt{5} }\)

Area = \(\frac{5}{2} * 4.25^{2} \sqrt{5 + 4.47 }\)

Area = \(\frac{5}{2} * 4.25^{2} \sqrt{9.47 }\)

Area = \(\frac{5}{2} * 18.0625} \sqrt{9.47 }\)

Area = \(\frac{5}{2} * 55.5844\)

Area = 138.961

Thus,

Area of the rug = 138.961 ft^2 to nearest hundredth

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Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

\(x^2+y^2+4x-4y=17\) can be rearranged to be:

\(x^2+4x+y^2-4y=17\)

Now, you can begin to complete the square with both the x and the y:

\((x^2+4x+4)-4+(y^2-4y+4)-4=17\)

Adding 8 to both sides and finishing the squares:

\((x+2)^2+(y-2)^2=25\)\((x+2)^2+(y-2)^2=25\)

The coordinates of the center of the circle are (-2,2), and the radius is \(\sqrt{25}=5\). Hope this helps!

Answer:

Option B is the right option.

Here,

According to Question,

∆PNO ~ ∆ XYZ

i.e <PNO=<YXZ =37°

<PON= < YZX = 90°

hence, both triangles are similar by AA rule.

Hope this helps...

Good luck on your assignment....

If there is orange with a volume of 113.1 cm3, the area of the cross-section when the orange is cut in half is approximately 34.9 sq cm.

If we assume that the orange is a sphere and has a volume of 113.1 cm3, we can use the formula for the volume of a sphere to find the radius of the orange. The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.

Substituting the given volume of 113.1 cm3 and solving for the radius r, we find that r = (3V / (4 * pi))^(1/3) = (3 * 113.1 / (4 * pi))^(1/3) approximately 3.3 cm.

Next, we can use the formula for the surface area of a sphere to find the area of the cross-section when the orange is cut in half. The formula for the surface area of a sphere is A = 4 * pi * r^2, where r is the radius of the sphere. Substituting the value of the radius that we calculated above, we find that the area of the cross-section is A = 4 * pi * (3.3 cm)^2 approximately 34.9 sq cm.

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In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

Answer: 2

Step-by-step explanation: use the slope formula y2-y1/x2-x2

-4-4/-2-2=-2

(both equations above should be fractions when read)

Answer:

Answer is letter H

Step-by-step explanation:

hope that helps

-3(x + 10)

-3x-30

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:

The speed with which the robbers were travelling = 70 miles per hour

The speed with which the police went after the robbers = 90 miles per hour

The distance with which the robbers were in front of the police before the police came after them =  miles

Let t represent the time in hours the police force the robbers off the road, we have;

30 + 70 × t = 90 × t

30 = 90 × t - 70 × t = (90 - 70) × t = 20 × t

30 = 20 × t

20 × t = 30

t = 30/20 = 1.5

t = 1.5 hours

The time taken before the police force the robbers off the road = t = 1.5 hours

Answer:

The time taken before the police force the robbers off the road is 1.5 hours

Step-by-step explanation:

Answer:

x= 28

do i have to explain

Step-by-step explanation:

Answer:

f(x) = 1

Step-by-step explanation:

f(x) = -x-5

f(-6) = -(-6)-5 = 6-5 = 1

The value of x is 1.

An statement, rule, or legislation that establishes the connection between the independent variable and the dependent variable (the dependent variable).

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation.

The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

Given:

f(x)=-x-5

and, f(x) = -6

Now, substitute f(x)= -6

-6 = -x-5

-6 + 5 = -x

-x = -1

x=1

Hence, the value of x is 1.

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Answer:

100

Step-by-step explanation:

The given information is:

- The tank has the shape of a cylinder

- The dimensions of the cylinder are 5 ft long and diameter 2.2 ft.

- The tank is drained at a rate of 2.1 ft^3 per minute.

The volume of the tank is given by the formula:

Where d is the diameter and h is the height.

By replacing the known values we obtain the initial volume:

As the drain rate is 2.1 ft^3 per minute, the time that is needed to empty the tank is:

The answer is 9 minutes.

Answer:

∠STR is associated with ∠ XYT

Therefore, we conclude that:

Step-by-step explanation:

Given

△RST ≅ △TXY

To determine:

∠STR = ?

As

△RST ≅ △TXY

So the triangles △RST and △TXY are congruent to each other.

Please check the attached graph.

From the graph, it is clear that:

∠STR is associated with ∠ XYT

so

∠STR = ∠ XYT

Therefore, we conclude that:

Answer:

20

Step-by-step explanation:

Substitute x = 6 into f(x), that is

f(6) = 2(6) + 8 = 12 + 8 = 20

Answer:

22500 revolutions

Step-by-step explanation:

Revolution in 15 minutes = revolution per minute x 15

1500 x 15 = 22,500

Answer:

It will cost $6.25

Step-by-step explanation:

You will do 5/4 and that will equal 1.25 and then you will do 1.25 x 5 = 6.21

x=8.385

Step-by-step explanation:

Angle EBD is a right angle since it's facing the diameter ED

Hence triangle BED is a right isosceles triangle since we also know that EB=BD

so A is the midpoint of ED since it's the center of the circle and ED is a diameter

which implies ED=2×AD=2×6=12

Using the Pythagorean theorem on a right isosceles triangle which states:

a²+b²=c²

x²+x²=12²

2x²=144

x²=72

x=√72=8.485