cube


cylinder


hexagonal prism


square pyramid

Answer:

A, D, and G

Step-by-step explanation:

Let's try each of the answer choices, one by one.

A) Plug x = 2 into each expression and see what we get.

7x + 4 = 7 * 2 + 4 = 14 + 4 = 18

3x + 5 + 4x - 1 = 3 * 2 + 5 + 4 * 2 - 1 = 6 + 5 + 8 - 1 = 18

Since they're both 18 when x = 2, A is true.

B) The statement says that the expressions are only equal for x = 4 and x = 8, but as we saw from A, they're also equal when x = 2, so B is wrong.

C) Let's try to find a counterexample for this by plugging in an odd number into each expression, like 1:

7x + 4 = 7 * 1 + 4 = 7 + 4 = 11

3x + 5 + 4x - 1 = 3 * 1 + 5 + 4 * 1 - 1 = 3 + 5 + 4 - 1 = 11

We see that these two expressions are equivalent when x = 1, which is an odd number, so this contradicts the statement that they're only equal when x is even. C is wrong.

D) Let's combine like terms for the expression 3x + 5 + 4x - 1:

3x + 4x + 5 - 1 = 7x + 4

Notice that this is the exact same expression as the first one, which is 7x + 4 so that means for any x, these two expressions will always be the same. D is thus true.

E) This is not true because it's possible that two expressions aren't equivalent but have the same value for a certain odd number and a certain even number. E is incorrect.

F) Obviously, if the two expressions are equivalent, they will give the same answer for any input of x, including when x = 0, so F is wrong.

G) Again, the two expressions will always be equal, including when x = 8, so this statement is true.

The answers are A, D, and G.

Hope this helps!

Answer:

Statement 1

Statement 4

Statement 7

Step-by-step explanation:

(1) 7x + 4

(2) 3x + 5 + 4x - 1 = 7x + 4

The two are identical hence equivalent for all x

Answer:

Explanation:

The figure attached shows sketches the situation described.

You have two right triangles.

For the right triangle with the plane on the position A, you can write:

         ⇒ H = (800 + x) tan(20º)

For the right triangle with the plane on the position B, you can write:

        ⇒ H = x tan(21.4º)

To solve, equal both equations:

Substitute in the equation H = x tan(21.4º)

Rounding to one signficant figure that is 4,000 ft.

Answer:

D)

(4.4+4.8)

2

Step-by-step explanation:

there is no step by step explanation

Answer:

N = 14   i hope this helps!   :)

Step-by-step explanation:

given   N - 10 = 4

add 10 to both sides   N = 14

answer   N = 14 units

Answer:

volume of a cone = 2.82πinches³( nearest hundredth)

Step-by-step explanation:

given that the diameter of a cone = 2 3/8

diameter = radius x 2

radius = diameter /2

radius = 19/8/2 = 1.1875

height of the cone = 6inches

volume of the cone = ?

recall that the formulae for calculating the volume of a cone = πr² h/3

volume of a cone = πr² h/3

volume of a cone = π (1.1875)² x 6/3

volume of a cone = π1.410 x 2

volume of a cone =  2.8203πinches³

volume of a cone = 2.82πinches³( nearest hundredth)

Answer:

Yes, Line AB is tangent to the circle.

Step-by-step explanation:

Answer:

4.24

Step-by-step explanation:

you should use the pythagorean theorem to solve this!

a^2 + b ^2 = c^2

3^2 + 3^2 = c^2 (i got 3 because it goes down three, and over three)

9 + 9 = c^2

18 = c^2

the square root of 18 is 4.24

therefore, the distance between C and D is 4.24.

hope this helps! :)

Answer: 3.00

Step-by-step explanation:

The point between 0-3 is 3 points

Answer:

2x=500

Step-by-step explanation:

Let x be the number of days.

Since there is a pattern, that 1 person is infected and infects two. Then two infects 4.

So it will be 2x. Since everyday it goes up.

Then, since there are 500 students in the school and the question asks for how many days, it will equal 500.

Answer:

1/100

Step-by-step explanation:

Since there are 100 cents in a dollar, and you are being asked to compare that to a cent.....

One cent=1

Dollar=100

1/100

It's equal to 1/100 of a dollar because it takes 100 pennies to make 1 dollar.

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.

Answer:

(h+8)^2 + ( y +1)^2 = 9

Step-by-step explanation:

The equation of a circle can be written as

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

where (h,k) is the center and r is the radius

(h- -8)^2 + ( y - -1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 3^2

(h+8)^2 + ( y +1)^2 = 9

Answer:

(x + 8)² + (y + 1)² = 9

Step-by-step explanation:

Equation of a circle

(x - h)² + (y - k)² = r²

(x - -8)² + (y - -1)² = 3²

(x + 8)² + (y + 1)² = 9

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

There are "6" people in total.

They can come at any place and at any time. All of them have equal chances of arriving at any place.

Similarly,

Everyone has the same chances of coming first.

Hence, the probability of Xerxes coming first is 1 out of 6 people

Hence,

Probability (Xerxes coming first) = 1/6

The answer is [tex]\frac{1}{6}[/tex]

Answer:

It is C. If a2 + b2 =c2, then the triangle is a right triangle.

Step-by-step explanation:

If a triangle has side lengths a, b, and c, where c is the longest side, then the statement "If a2 + b2 = c2, then the triangle is a right triangle", the correct option is C.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

We are given that;

Sides of triangle are a, b and c

Now,

This statement is known as the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs (a and b) is equal to the square of the length of the hypotenuse (c).

Conversely, if a triangle satisfies the Pythagorean Theorem, then it is a right triangle.

Therefore, by Pythagoras theorem the answer will be a2 + b2 = c2, then the triangle is a right triangle.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ3

Answer:

7

Step-by-step explanation:

15+6=21/3=7

Answer:

30

It's thirty because median is the middle of all numbers, and thirty is the middle of all numbers.

Answer:

A

Step-by-step explanation:

because 1/9^2 is also 9^-2 because when it is a negative exponent it turns into a fraction. it does this because it is negative and the negative is equal to the number of one with the exponent positive

The equation is [tex]2\frac{1}{8} - \frac{1}{2}[/tex] .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is [tex]\frac{17}{8} -\frac{4}{8}[/tex] . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction [tex]\frac{13}{8}[/tex] simplifies to [tex]1\frac{5}{8}[/tex] .

[tex]1\frac{5}{8}[/tex]

Hope this helps :)

Answer:

[-infinity,infinity]

Step-by-step explanation:

If you look at the graph, the domain keeps going on forever and ever on both sides...

The price of one drink is $7.5

The price of one bag of popcorn is $9.25

Step-by-step explanation:

Let us assume,

Emily spends a total of $78.50 on 2 bags of popcorn and 8 drinks.

⇒ 2x + 8y = 78.5  -------(1)

Lydia spends a total of $89.50 on 4 bags of popcorn and 7 drinks.

⇒ 4x + 7y = 89.5  --------(2)

To solve for x and y values :

Multiply eq (1) by 2 and subtract eq (2) from eq (1),

  4x + 16y = 157

- (4x + 7y = 89.5)

        9y = 67.5

⇒ y = 67.5/9

⇒ y = 7.5

∴ The price of one drink is $7.5

Substitute y = 7.5 in eq (1),

⇒ 2x + 8(7.5) = 78.5

⇒ 2x + 60 = 78.5

⇒ 2x = 78.5 - 60

⇒ 2x = 18.5

⇒ x = 18.5/2

⇒ x = 9.25

∴ The price of one bag of popcorn is $9.25

Answer:

Bottom left graph

Step-by-step explanation:

Since the y-coordinates are the same, but the x-coordinates are opposites, it is a reflection across the y axis.

Therefore, the bottom left graph is correct.

Answer: The Bottom Left Graph

Step-by-step explanation:

The Y coordinates are the same number, therefore, when you find the coordinates of the points, the y must be equal, making them the same height on a graph. The X coordinates on the graph must be opposites, therefore, the two dots have to be equidistant from the Y axis. The only graph that has two dots at the same height and is equidistant from the Y axis is the graph at the bottom Left Corner.

Answer:

Yes

Step-by-step explanation:

Any number which can be written as a fraction of integers, is rational

For the even number it would be I think a 6/6 chance for the three a 2/6 chance.

Answer:

1/12

Step-by-step explanation:

a chance of an even number is 1/2 and the chance of getting a three is 1/6 when you multiply these it’s 1/12

Answer:

6, 5

Step-by-step explanation:

-3 + 9 = 6

15-10 = 5

Answer:

(6,5)

Step-by-step explanation:

You just have to do 9-3 to get 6 or u can do -3-9

then for y you have to do 15-10

Answer:

28

Step-by-step explanation:

2y+12=3y-16

12=y-16

y=28

Answer:

(x + 1)(x + 8)

Step-by-step explanation:

I graphed the equation on the graph below to find the x values.

Answer:

$8.79

Step-by-step explanation:

9.45 × 0.07 = 0.6615

9.45 – 0.6615 = 8.7885

Round 8.7885 to the nearest tenth, 8.79

Answer:

x+11

Step-by-step explanation:

Answer: do u still want to know this or not

Step-by-step explanation:

Answer: 1 out of 6

Step-by-step explanation:  A number cube has 6 numbers on it. Only one of them is a two. If she were using two number cubes then she would have 2 out of 12 chances of landing on a number 2.

Solution:

surface area of a piece of paper = 137 sq cm

Use the fact that 10 mm = 1 cm to convert this area to mm^2

[tex]1\ cm = 10\ mm[/tex]

Then,

[tex]1\ cm^2 = 100\ mm^2[/tex]

Convert  137 sq cm to sq mm

[tex]137\ cm^2 = 137 \times 100\ mm^2\\\\137\ cm^2 = 13700\ mm^2[/tex]

Thus, surface area of a piece of paper is [tex]13700\ mm^2[/tex]

To convert the surface area of a piece of paper from cm² to mm², use the conversion factor 1 cm² = 100 mm².

To convert the surface area of a piece of paper from square centimeters (cm²) to square millimeters (mm²), we can use the conversion factor that 10 mm = 1 cm. Since we are given the surface area as 137 cm², we can multiply it by the conversion factor to get the value in mm².

Conversion factor: 1 cm² = (10 mm)² = 100 mm²

Therefore, the surface area of the paper in mm² is 137 cm² x 100 mm²/cm² = 13700 mm².