there are 12 levels in Zoe new video game suppose she plays the same number of levels each day what are all the possibilities for the number of days Zoe could play the game without repeating a level show you work ?

9514 1404 393

Answer:

  1725 ft²

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Here, the bases are given as 65 ft and 50 ft, and the height is 30 ft. Then the area is ...

  A = 1/2(65 ft +50 ft)(30 ft) = (1/2)(115 ft)(30 ft) = 1725 ft²

You tell the salesman your lawn area is 1725 square feet.

Answer:

16 ==>> Length of PR

4 ==>> Value of A

3 ==>> Value of B

6 ==>> Length of QS

Step-by-step explanation:

==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T

--

==>> Thus the values of A & B can be found by setting the sides to equal each other.

2B - 3 = B [add 3 and subtract B from both sides]

B = 3

A + 4 = 2A [subtract A from both sides]

4 = A

--

==>> Then to find the length of the diagonals: Plug the variables in and add both sides.

2(3) - 3   +   (3) =6

(4) + 4     +   2(4)  =16      

The correct matching of the elements to their values are:

This refers to the plane that has four sides and their opposite sides are parallel.

Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:

This means that the values of A & B can be found by setting the sides to equal each other.

2B - 3 = B

B = 3

A + 4 = 2A

4 = A

Length of the diagonals:

2(3) - 3   +   (3) =6

(4) + 4     +   2(4)  =16      

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Answer:

A

Step-by-step explanation:

Multiply:

\((\frac{5}{5+\sqrt{10x} } )(\frac{5+\sqrt{10x} }{5+\sqrt{10x} } )\)

Simplify:

\(\frac{5(5-\sqrt{10x}) }{(5+\sqrt{10x})(5-\sqrt{10x} ) }\)

Factor:

\(\frac{5(5-\sqrt{10x}) }{25-10x}\)

Reduce:

\(\frac{5(5-\sqrt{10x}) }{5(5-2x)}\)

Solution:

\(\frac{5-\sqrt{10x} }{5-2x}\)

There is a probability of 94/315 that the problem will be solved.

We are given that P has a chance of solving the problem of 2/7, Q has a chance of solving the problem of 4/7, and R has a chance of solving the problem of 4/9. To find the probability that the problem is solved, we need to consider all possible scenarios in which the problem can be solved.

The probability of this scenario is 2/7. If P solves the problem, then it does not matter whether Q or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 2/7.

The probability of this scenario is 4/7. If Q solves the problem, then it does not matter whether P or R solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/7.

The probability of this scenario is 4/9. If R solves the problem, then it does not matter whether P or Q solve it, the problem is already solved. Therefore, the probability of the problem being solved in this scenario is 4/9.

The probability of this scenario is (1-2/7) * (1-4/7) * (1-4/9) = 3/35. This is because the probability of P not solving the problem is 1-2/7, the probability of Q not solving the problem is 1-4/7, and the probability of R not solving the problem is 1-4/9. To find the probability of none of them solving the problem, we multiply these probabilities together.

To find the probability of the problem being solved, we need to add the probabilities of all the scenarios in which the problem is solved. Therefore, the probability of the problem being solved is:

2/7 + 4/7 + 4/9 = 94/315

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Answer:

Step-by-step explanation:

(-4, 2) (3, -4)

(-4 - 2)/(3 + 4) = -6/7

y - 2 = -6/7(x + 4)

y - 14/7 = -6/7x - 24/7

y = -6/7x - 10/7

The graph of the function f(x) = 5(3)ˣ - 1 is represented as the diagram given in option C.

To find the main points of the function f(x) = 5(3)ˣ - 1, we can identify its key features such as the y-intercept, x-intercept, and any asymptotes.

Y-intercept:

To find the y-intercept, we set x = 0 and evaluate the function:

f(0) = 5(3)⁰ - 1 = 4

Therefore, the y-intercept is (0,4).

Asymptotes:

There are no vertical asymptotes for this function since the base of the exponential function, 3, is positive.

The graph of the function is given in the attached image.

Therefore, the correct option is C.

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Answer:

x=90°

Step-by-step explanation:

As in the angle, there is a box giving us info that x has to be 90°.

But to be sure that there is no mistake we have to do the following:

So we are looking at the surroundings of angle x (which is on a straight line) we see that it is a right angle and look at the angle on the same line is a right angle too.

The equation right angle=90° helps us see that because there are two right angles on a 180° line (90°+90°+180°).

Therefore the answer is:

x=90°

The amount of paint George would need to paint the outside of one basket is 289 cm².

In Mathematics and Geometry, the volume of a cuboid with a square base can be calculated by using this following formula:

Volume of a cuboid, V = L² × H

Where:

By substituting the given parameters into the formula for the volume of a cuboid with a square base, we have the following;

Volume of a cuboid, V = L² × H

Volume of a cuboid, V = 17² × 9

Volume of a cuboid, V = 289 × 9

Volume of a cuboid, V = 2601 cm³

For one basket, the amount of paint is given by:

Amount of paint = L² × H

Amount of paint = 17²

Amount of paint = 289 cm².

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Area of a circle=πr^2

circumference of a circle= 2πr

circumference of a circle=25.12

2πr=25.12

r=25.12÷2π=4

radius=4

Are of circle= πr^2=π4^2=50.28cm^2

Step-by-step explanation:

the two triangles are similar because every corresponding angles are equal

Answer:

56 degrees

Step-by-step explanation:

Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).

You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)

Answer:

The total change in water level over the past 2 years is \(\displaystyle -4 \frac{1}{6}\).

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Fractions

Numbers

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change:  \(\displaystyle -2 \frac{1}{3}\)

Year 2 water change:  \(\displaystyle -1 \frac{5}{6}\)

Step 2: Find Total Water Change

Answer:

Let x = amount of water to be added with 0% antifreeze

1 = amount of pure antifreeze at 100%

x+1 = amount of the mixture at 60% antifreeze

Step-by-step explanation:

1= .60x + .60

Subtract .60 from each side:

1-.60 = .60x

.40 = .60x

Divide both sides by .60

Check: Total antifreeze = 1 gallon in total mixture of 1 + 2/3 gallon = 5/3 gallons. 1 gallon divided by 5/3 equals 3/5 which is 60%. It checks.

Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

hope it helps

Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

we have f (x)= -3x + 10

so f(-5)= (-3)(-5) +10 = 15 + 10 = 25

we have g (x) = x^2 - 7x

so g(2)= 2^2 - 7.2 = 4 - 14 = -10

we have f (x)= -3x + 10

so f(4m)= -3(4m)+10 = -12m + 10

ok done. Thank to me :>

Answer:

what may be true

Step-by-step explanation:

i just took the test and got the answer correct, i hope this helps.

Answer:

a. What is the mean price? Round your answer to the nearest cent. $679.63

b. What is the median price? $689.50

c. What is the mode price? $699

Step-by-step explanation:

The mean price, rounded to the nearest cent is $679.63, the median price is $689.5 and the mode price is $699.

The mean is the ratio of the sum of all numbers and total numbers in the list. The median is the middle value in a list ordered in ascending order. The mode is the most frequently occurring value on the list.

In our question, given data:

$699, $599, $699, $680, $590, $720, $650, $800

Mean is found by dividing by sum all the prices and then divided by total terms.

Sum all prices = ($699 + $599 + $699 + $680 + $590 + $720 + $650 + $800) = $5437

Mean = \(\frac{5437}{8}\) = $679.625

The round of mean value to the nearest cent is $679.63.

To find median, arrange the data list in ascending order and then find the middle value. Since in our data list, there are 8 terms (even). Therefore take average of the two middle values to find median.

Ascending order ⇒ 590, 599, 650, 680, 699, 699, 720, 800

Midian = \(\frac{680 + 699}{2}\) = $689.5

Mode is the most frequently occurring value in the data list, in our data list, 699 comes twice.

∴ Mode = $699

Hence Mean = $679.63, Midian = $689.5, Mode = $699.

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Answer:

1000

Step-by-step explanation:

For rounding questions, you want to look at the place value to the right of the digit it wants you to round to. If that place value to the right of the digit you need to round is less than 5, you round down. If the place value to the right of the digit you need to round is 5 or greater, then you round up. In your situation, the place value you want to round is the hundreds place, so we need to look at the tens value. The tens value is 4, which is less than 5, so we round down. Therefore, the answer would be 1000.

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

The completed table of the functions and inverses can be presented as follows;

1. t(x) → a(x)

2. Q(x) → B(x)

3. G(x) → c(x)

4. f(x) → D(x)

5. y(x) → w(x)

6. e(x) → R(x)

7. U(x) → H(x)

8. P(x) → J(x)

9. m(x) → k(x)

10. S(x) → n(x)

Making x the subject of the given functions to find the inverse gives;

1. a(x) = 2•(x - 6)

Therefore;

x = (a(x)/2) + 6

t(x) = (x/2) + 6

Therefore;

2. G(x) = (1/4)•x²

4•G(x) = x²

x = 2•√(G(x))

3. B(x) = √(x)/4

4•B(x) = √(x)

x = 16•(B(x))²

Q(x) = 16•x²

Therefore;

4. D(x) = (x + 6)/2

x = 2•D(x) - 6

f(x) = 2•x - 6

Therefore;

5. y(x) = (4•x + 2)²

(√(y(x)) - 2)/4 = 4•x

w(x) = (√(x) - 2)/4

Therefore;

6. R(x) = (1/4)•(4•x)²

x = √(4•R(x))/4 = √(R(x))/2

e(x) = √(x)/2

Therefore;

7. H(x) = 2•x + 6

(H(x) - 6)/2 = H(x)/2 - 3

x = H(x)/2 - 3

U(x) = x/2 - 3

Therefore;

8. J(x) = (√(x + 2))/4

x = (4•J(x))² - 2

P(x) = (4•x)² - 2

Therefore;

9. k(x) = x/4 + 3

x = 4•(k(x) - 3) = 4•k(x) - 12

m(x) = 4•x - 12

Therefore;

10. n(x) = 4•(x + 3)

x = n(x)/4 - 3

S(x) = x/4 - 3

Therefore;

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The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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\({ \orange{ \tt{ - 23}}}\)

Step-by-step explanation:

Given:-

x = 4 and y = 2.

Substitute the value of x and y in this below equation.

\({ \red{ \tt{5(y + 3) - {3x}^{2}}}}\)

\({ \red{ \tt{5(2 + 3) - {3(4)}^{2}}}}\)

\({ \red{ \tt{5(5) - 3(16)}}}\)

\({ \red{ \tt{25 - 48}}}\)

\( = { \red{ \tt{ - 23}}}\)

Answer:

A: -23

Step-by-step explanation:

Draw a perpendicular line to the x-axis that passes through the point (8,4)

1) Since a line is parallel then must have the same slope. In this case, there is no slope since x=-1 is a vertical line. But let's visualize it, the initial situation described by the problem:

2) Since it must be parallel to x=-1, our new line must be perpendicular to the x-axis and pass through x-coordinate, x=8. Since it must intercept point (8,4) Like this:

3) So to trace this line, we must draw a perpendicular line to the x-axis that passes through the point (8,4)

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer: B

Step-by-step explanation: I think thats right

Given:

The base area of a right circular cone is \(\dfrac{1}{4}\) of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = \(\pi r^2\)

Total surface area of a right circular cone = \(\pi rl+\pi r^2\)

where, r is radius and l is slant height.

According to the question,

\(\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)\)

Multiply both sides by.

\(4\pi r^2=\pi rl+\pi r^2\)

\(4\pi r^2-\pi r^2=\pi rl\)

\(3\pi r^2=\pi rl\)

Cancel out the common factors from both sides.

\(3r=l\)

Now, ratio of the radius  to the slant height is

\(\dfrac{r}{l}=\dfrac{r}{3r}\)

\(\dfrac{r}{l}=\dfrac{1}{3}\)

Therefore, the ratio of the radius  to the slant height is 1:3.

Answer:

A)

Step-by-step explanation:

60^2 + 11^2 = 61^2

By Applying

Pythagoras theorem ..

hyp² = base² + height²

(61)² = base² + (11)²

3721 = base² + 121

3721 - 121 = base²

3600 = base² (taking square root)

√3600 = √base²

60 = base

base = 60

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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The corresponding height of similar rectangular prism m is 9 centimeter.

Given that, the volume of rectangular prism m is 17 cm³ and the volume of rectangular prism n is 136 cm³.

If two solids are similar, then the ratio of their volumes is equal to the cube of the ratio of their corresponding linear measures.

The height of n is 18 cm.

Here, m³/n³ = 17/136

m³/18³ = 17/136

m³/18³ = 17/136

(m/18)³ = 1/8

(m/18)³ = (1/2)³

m/18 = 1/2

m=9 cm

Therefore, the corresponding height of similar rectangular prism m is 9 centimeter.

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Answer:

195

Step-by-step explanation:

Answer:

As per Given Information

→ Height = 13

→ Width = 2

→ Length = 7.5

we have to find the volume of cereal .

Volume of Cereal = Height ×Width×Length

On substituting the value we obtain

➺ Volume of Cereal = 13×2×7.5

➺ Volume of Cereal = 26 × 7.5

➺ Volume of Cereal = 195 unit cube

So, the volume of cereal is 195 unit cube .