A soft drink can has a diameter of 6 cm and height of 11.5 cm. What is its volume?

Answer:

Mean: 12 Mode: 15

Step-by-step explanation:

Mean: 6+15+15+13+14+12+9=84/7=12 The mean is all of the numbers added together and then divided by how many number there are

Mode: 6, 9, 12, 13, 14, 15, 15.  The mode is the number that appears most often.

Answer:

9 weeks

Step-by-step explanation:

If you subtract $222 dollars from $124 dollars, you would get 98. This means that Chet needs 98 more dollars to get to $222. If you multiply 12 times 8, that is 96, still not enough. This means he would have to multiply 12 times 9 which is $108. At 8 weeks he still doesn't have enough so he has to go to 9 weeks. Though he will have more than $222, he still has enough money to have $222 dollars there will just be some left over.

Answer:

ST = 4

Step-by-step explanation:

Answer: ST=4

Step-by-step explanation:

Answer:

9ft

Step-by-step explanation:

i took the test...

hope this helps.

a. I'm guessing this number is given in base 8, in which case

7604₈ = 7 × 8³ + 6 × 8² + 0 × 8¹ + 4 × 8⁰

b. A, B, and C in base 16 correspond to 10, 11, and 12 in base 10, so

ABC0 = 10 × 16³ + 11 × 16² + 12 × 16¹ + 0 × 16⁰

Answer:

A. (3,21)

Step-by-step explanation:

scale factor: 3   (x',y') = (3x,3y)

(1,7) -> (3,21)

The coordinates of point Q(1, 7) after dilation becomes

Q'(3, 21).

A dilation in math is an enlargement or reduction of a figure about a center of dilation by a specified scale factor [k].

Given is a rectangle QRST is dilated by a scale factor of 3 through the origin.

The point Q representing one of the vertices of the rectangle has coordinates - Q(1,7). After dilation, the point Q becomes Q' and its x and y coordinates will be multiplied by the scale factor of k = 3. The final coordinates of point Q' will be - (3 x 1, 3 x 7) = (3, 7).

Therefore, the coordinates of point Q(1, 7) after dilation becomes

Q'(3, 21).

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The person that is correct among the students is Frank who said the pencils are an example of parallel lines.

Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.

Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.

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In a triangle of EFG we have ∠E+∠F = 120°,E=(8x-2)° and F=(7x+2)°.

Option B is true and angle of G is 60°.

Given that,

∠E+∠F = 120°

In the figure we have a triangle with EFG.

E=(8x-2)°

F=(7x+2)°

We know

∠E+∠F = 120°

8x-2+7x+2=120

15x=120

x=120/15

x=8

We got x =8

∠E=8\(\times\)8-2=62°

∠F=7\(\times\)8+2=58°

Now, we know in a triangle all angles are equal to 180°.

∠E+∠F+∠G=180°

62°+58°+G=180°

120°+G=180°

G=180°-120°

G=60°

We have 4 option

a) (7x)° which is false

b) (7x+4)° which is true (7\(\times\)8+4=60°)

c)(8x)° which is false

d) (8x+4)° which is false

Therefore, option B is true and angle of G is 60°.

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Answer:

$ 6.20 Cents

Step-by-step explanation:

17 - 5.50= 11.5

11.50 - 5.30= 6.2

Add A Zero at the end

You Get 6.20

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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1.

6x - 16 = 14x + 8

the question above can be solved by simply collecting like terms and solve for x

step 1

collect like terms by carrying 6x to the right hand side and taking 8 to the left hand side

however, note that the sign changes when they cross equality sign

proceed to divide both sides by 8 to solve for x

2.

9y + 21 = 3y - 5

step 1

collect like terms

step 2

divide both sides by 6

3

5n + 7 + 3n = -8 + 3n

step 1

4

6d - 1 = -d + 20

5

3b + 8 - 5b = 2(4 - b)

step 1

open the bracket on the right hand side and collect like terms

6

-11 - 2p = 6p + 5(p + 3)

-11 - 2p = 6p + 5p + 15

10

h + 3(h - 2) = 2(2h -3)

step 1

simplify by opening the bracket

7

7w - 3(

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

The estimated probability of a success is 3/5 or 0.6

From the question, we have the following parameters that can be used in our computation:

Integers = 5

Success = 3

The probability of success is then calculated as

Probability = Success/Integrs

Substitute the known values in the above equation, so, we have the following representation

probability = 3/5 = 0.6

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Answer:

\(x=\frac{\pi }{4}\)

Step-by-step explanation:

csc(2x) = 2

is also the same as

sin(2x) = 1/2

so we have to solve for sin(x)=1/2

\(x=\frac{\pi }{2}\)

but we want to sin(2x) = 1/2 so we make it.

\(\\2x=\frac{\pi }{2} \\x=\frac{\pi }{4}\)

Answer:

Step-by-step explanation:

x²=196

x=±14

when x=14

(x-1)²=(14-1)²=13²=169

when x=-14

(x-1)²=(-14-1)²=(-15)²=225

sum=169+225=394

Answer: 15cm

Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm

The equation that represents a quadratic relationship is y = 4x^2. Option A.

A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.

Let's analyze the given equations:

1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.

2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.

3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.

4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.

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Answer:

140 minutes

Step-by-step explanation:

After 28 mins you've gone 4 miles, assuming this rate is constant and you dont slow down or speed up, in order to get to 20 miles you will have run 5x as much (20/4 = 5), thus 5x the amount of time (28x5).

20/4 = 5

5x28 = 140

Answer:

140 minutes

Step-by-step explanation:

28 :4 =7 minutes to run 1 mile

20 ×7 =140 minutes

We want to see which would be the correct graph of a given inequality.

We will see that the correct option is the third one:

"number line with a closed dot on 2 and an open dot on 8 and shading in between"

Here the inequality is:

-8 ≥ −5x + 2 > −38

Let's simplify this, first we can subtract 2 in the 3 parts of the inequality:

-8 - 2 ≥ −5x + 2 - 2 > −38 - 2

-10 ≥ −5x  > −40

Now we can divide the 3 parts by -5, notice that as it has a negative sign, the direction of the symbols must change:

-10/-5 ≤ −5x/-5 < −40/-5

2 ≤ x < 8

Then the graph will be a solid dot at x = 2 (because x = 2 is a valid solution) that extends to the right unitl it hits an open dot at x = 8 (because x = 8 is not a solution).

Thus the correct option is the third one:

"number line with a closed dot on 2 and an open dot on 8 and shading in between"

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Answer:

Step-by-step explanation: the y would be 50

Answer:

-1/2 > x

Step-by-step explanation:

−2x − 4 > 8 x −6 x −2

Combine like terms

-2x -4 > 2x -2

Add 2x to each side

−2x+2x − 4 > 2x+2x −2

-4 > 4x-2

Add 2 to each side

-4 +2 > 4x -2 +2

-2 >4x

Divide each side by 4

-2/4 > 4x/4

-1/2 > x

The other endpoint of the segment is (7, 14)

From the question, we have:

On the segment, we have the following endpoints

Endpoint 1, A = (-3,-2)

Midpoint, M = (2,6)

The midpoint of the segment is calculated using

Midpoint (x, y) = 1/2 * (x1 + x2, y1 + y2)

Where

(x1, y1) = (-3,-2)

(x, y) = (2,6)

Substitute the known values in the above equation

So, we have

(2, 6) = 1/2 * (-3 + x, -2 + y)

Multiply both sides of the equation by 2

So, we have

(4, 12) = (-3 + x, -2 + y)

By comparison, we have

-3 + x = 4

-2 + y = 12

Evaluate the like terms in the above equation

So, we have

x = 7

y = 14

When the above solution is represented as a coordinate, we have the following

(x, y) = (7, 14)

Hence, the other endpoint of the segment where the segment has the endpoint (-3,-2) and midpoint (2,6) is (7, 14)

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Answer:

$7.45

Step-by-step explanation:

im also doing this and it should be the right answer if its not i guess we fail together

Answer:

$7.45

Step-by-step explanation:

I am also doing this, for an exam. so i think this should be right  :>

The triangles are congruent by SAS theorem

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔRST

Let the second triangle be represented as ΔXYZ

Now , the measure of side RS = measure of side XY

And , the measure of side ST = measure of side YZ

The measure of angle ∠S = measure of angle ∠Y

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

Therefore , the triangles ΔRST and ΔXYZ are congruent triangles by the SAS theorem

Hence , they are congruent

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implifying

4z + -15 = 4z + 11

Reorder the terms:

-15 + 4z = 4z + 11

Reorder the terms:

-15 + 4z = 11 + 4z

Add '-4z' to each side of the equation.

-15 + 4z + -4z = 11 + 4z + -4z

Combine like terms: 4z + -4z = 0

-15 + 0 = 11 + 4z + -4z

-15 = 11 + 4z + -4z

Combine like terms: 4z + -4z = 0

-15 = 11 + 0

-15 = 11

Solving

-15 = 11

Answer:

x = 0

Step-by-step explanation:

x (40 °) ((3 x + 10) °)

40 x (3 x + 10) °^2

Expanded form:

120 x^2 °^2 + 400 x °^2

Roots:

x = -10/3

x = 0

Alternative forms:

40/3 (3 x + 5)^2 °^2 - (1000 °^2)/3

x (120 x °^2 + 400 °^2)

1/810 π^2 x (3 x + 10)

Geometric figure:

Parabola

HOPE I HELPED!