if g (x)= x^2-5, where does the graph g (x) cross the x-axis?

Answer: 20!/5!

Step-by-step explanation:

Answer:

Table C is the correct option.

Step-by-step explanation:

We are given,

Number of students which knew French = 57

Number of students which knew both French and Spanish  = 23

Number of students which knew Spanish but not French = 11

Number of students which knew neither French nor Spanish = 4

So, we get that,

Number of students not knowing French = 57 - 23 = 34

Hence, the table for the given situation is,

                              Knew Spanish    Did not know Spanish    Total

Knew French                  23                          34                         57

Did not know French      11                             4                           15

Total                               34                             38                        72

Thus, option C is correct.

option C is correct-

Final answer:

To find the volume of a sphere with a radius of 5, plug the value into the formula V = (4/3)πr³. The result is approximately 523.6 cm³.

Explanation:

The question asks for the volume of a sphere with a given radius. The formula to calculate the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

To find the volume of a sphere with radius 5, we substitute r with 5 in the formula:

V = (4/3)π(5)³

V = (4/3)π(125)

V = (4/3)π(125) = 500/3π cm³

The volume of a sphere with radius 5 is therefore 500/3π cubic centimeters, which is approximately 523.6 cm³ when rounded to one decimal place.

The correct next step that Cynthia should do is to:

D. use the arc markings to determine the radius to construct the circle

The arc markings are actually used as the baseline in determining the center and the radius of the circle. The arc markings are created with the use of a compass. All other choices are completely irrelevant because what we need is the arc and not the angles. The angles do not create the circle. Letter C is also wrong because what we are trying to form is the circle and not the triangle. The triangle is already created.

I believe this question asks for the total amount of area of wood that is needed to make 80 puzzles.

The formula for area of triangle is given as:

A = (1 / 2) b h

where,

b = is the base of the triangle = 3 in

h = height of the triangle = 4 in

So calculating for area of 1 on triangle (A1):

A1 = (1 / 2) (3 in) (4 in)

A1 = (1 / 2) 12 in^2

A1 = 6 in^2

We are given that we are to make 80 puzzles and each puzzle has 20 triangles, therefore the total amount of triangles we need to make is:

n = 80 * 20

n = 1600

Therefore the total area needed (A) is:

A = A1 * n

A = 6 in^2 * 1600

A = 9,600 in^2

Statements B, C, and F are all true based on the given angle measures in triangle EFG.

Let's reevaluate the statements with the given angle measures in triangle EFG:

m∠E = 30°

m∠F = 60°

m∠G = 90°

A. FG = √3/2 EF

FG = (EF * √3) / 2

This statement is true. FG is indeed equal to √3/2 EF.

B. EG = √3/2 EF

EG = (EF * √3) / 2

This statement is true. EG is equal to √3/2 EF.

C. EG = -√3 FG

EG = -√3 * FG

This statement is true. EG is equal to -√3 FG.

D. EF = -√3 FG

EF = -√3 * FG

This statement is true. EF is equal to -√3 FG.

E. EG = 2 FG

EG = 2 * FG

This statement is true. EG is equal to 2 FG.

F. EF = 2 FG

EF = 2 * FG

This statement is true. EF is equal to 2 FG.

Statements B, C, and F are all true based on the given angle measures in triangle EFG.

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A transformation specified with a rule T (x, y) means that the figure is undergoing a process of translation. Translation means that only the positions of the coordinates are changed with no other change on the angle, lengths or any other characteristic aside from the position alone.

So since the rule is T (-2, 4) then this means that the figure is moved 2 units left and 4 units up.

The initial coordinates of point L is:

point L = (5, 1)

The coordinates of L’ then is:

point L’ = L(5, 1) + T(-2, 4)

point L’ = (5 – 2, 1 + 4)

point L’ = (3, 5)

Answer:

(3, 5)

(3,5) is the answer.

An equation typically used to represent inverse variation is y = k/x, where k is the "constant of proportionality for inverse variation."

6y = x does not represent inverse variation, since y increases when x increases or x increases when y increases. This is an example of direct proportion and is thus not an answer.

1/2y = 1/x should be written as (1/2)y = 1/x, to emphasize that (1/2) is a coefficient of y. Let's solve for y to see what form the resulting equation has:

(1/2)y = 1/x => y = 2/x. This has the form y = k/x, and thus represents inverse variation. y decreases when x increases.

–x = y + 8 is a linear equation and thus could not possibly represent inverse proportion. The "offset," +8, also makes it impossible for –x = y + 8 to represent direct variation. Reject this answer choice.

y = 1/4x has the form y = (1/4)x, which resembles a rule for direct variation.

Note, however, that if you really meant y = 1 / (4x), or y = (1/4)(1/x), then this would be a case of inverse variation.

The only answer choice in this problem that clearly represents indirect variation is (1/2)y = 1/x (as I have already said, above).

Answer:5

Step-by-step explanation:

1/2y=1/x

y=2/x

36) the equation would be: 44 x 0.63 =

37) 6.1% = 0.061

59150 x 0.061 = 3608.15 increase

The circumference of one of the wheels is:  

                     Option: A    75.4 in.

The 24-in bicycle means that the diameter of the wheel of the bicycle isL 24 in.

We know that the wheel of the bicycle is in the shape of a circle.

This means that the diameter of circle is: 24 in.

Hence, the radius(r) of circle is: 12 in.

( since we know that the radius(r) of the circle is half the diameter(d) of the circle)

Now, we are asked to find the circumference of the circle.

The circumference(C) of the circle is given by:

C=2πr

i.e.

C=2×3.14×12

i.e.

C=75.36 in.

which to the nearest tenth is: C=75.4 in.

Part 1)

In this problem we have two lines

The equation of the fist line is

[tex]y=\frac{2}{3}x+3[/tex]

The solution is the shaded area above the dashed line

so

the inequality is

[tex]y>\frac{2}{3}x+3[/tex]

The equation of the second line is

[tex]y=-\frac{1}{3}x+2[/tex]

The solution is the shaded area below the full line

so

the inequality is

[tex]y\leq -\frac{1}{3}x+2[/tex]

therefore

the answer Part 1) is

[tex]y>\frac{2}{3}x+3[/tex] and [tex]y\leq -\frac{1}{3}x+2[/tex]

Part 2)

In this problem we have two lines

The equation of the fist line is

[tex]y=2x+2[/tex]

The solution is the shaded area above the full line

so

the inequality is

[tex]y\geq 2x+2[/tex]

The equation of the second line is

[tex]y=2x-1[/tex]

The solution is the shaded area below the full line

so

the inequality is

[tex]y\leq 2x-1[/tex]

therefore

the answer Part 2) is

[tex]y\geq 2x+2[/tex] and [tex]y\leq 2x-1[/tex]

Part 3)

In this problem we have only one line

The equation of the line is

[tex]y=2x+1[/tex]

The solution is the shaded area above the dashed line

so

the inequality is

[tex]y>2x+1[/tex]

therefore

the answer Part 3) is

[tex]y>2x+1[/tex]

Part 4)

we know that

the solution of the system of linear equations is the intersection both graphs

so

see the graph

the solution point is [tex](0,2)[/tex]

therefore

the answer part 4) is the option

[tex](0,2)[/tex]

there are 2 numbers that could be divisible by 3, either 3 or 6

 so there is a 2/6 probability

2/6 = 0.333

 so the answer is B

Answer: Hello there!

We know that:

[tex]density = \frac{mass}{volume}[/tex]

This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.

The 4 that we have here are:

Air, Pumpkin pie, Whipped cream, and Steel

It is easy to assume that the steel is the more dense object.

The pumpkin pie comes second

third is the whipped cream, which is cream with a lot of tiny air bubbles inside

the less dense object is the air.

then the order is:

Steel, pumpkin pie, whipped cream, air.

Answer:

B) 10

Step-by-step explanation:

If DE is midsegment of the triangle, we know that AC measures twice as DE.

In the problem we have that AC = x + 15 and DE = x + 5

Writing this as an equation we have:

[tex]x + 15 = 2(x+5)\\x+15=2x +10\\15-10=2x-x\\5=x[/tex]

Therefore x = 5 and the length of segment DE is:

x + 5 = 5 + 5 = 10

Therefore the correct answer is B) 10

Answer:

x=7

Step-by-step explanation:

Subtract 10x

from both sides of the equation.

12x−7−10x=7

Subtract 10x

from 12x

2x−7=7

Add 7

to both sides of the equation.

2x=7+7

Add 7 and 7

2x=14

Divide each term by 2 and simplify.

x=7

Answer:

c

Step-by-step explanation:

The correct statement about Histogram is Data is organized in equal intervals.

A histogram is a graphical representation of discrete or continuous data. The area of a bar in a histogram is equal to the frequency. The y -axis is plotted by frequency density (which is proportional to the frequency) and the x -axis is plotted with the range of values divided into intervals.

Given:

Equal in breadth and corresponding to equal class intervals are the bars. However, they can occasionally be displayed as a wider variety within their groups, such as in size classes.

The width and data being achieved, for instance, forces a true event of varying class sizes in education upon the base of the graph.

and, for the purpose of displaying evenly spaced-out numerical data. The bars should be in close proximity to one another but not overlap. You can view the frequency distribution of the data or the number of pieces of data contained in each interval using these intervals.

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