Victor runs 1/2 of a mile each day. Steve runs 3/4 of the distance that Victor runs. How long does Steve run?

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number that is divisible by both 2 and 4 is option c. 2,836.

To determine which number is divisible by both 2 and 4, we need to identify the number that is divisible by the prime factorization of both 2 and 4.

To be divisible by 2, a number must be even, meaning it should end with 0, 2, 4, 6, or 8. Looking at the given options, we can eliminate options a. 1,022 and d. 2,918 because they end with 2 and 8 respectively.

To be divisible by 4, a number must be divisible by 2 twice. In other words, the last two digits of the number should form a multiple of 4. Examining the remaining options b. 1,974 and c. 2,836, we find that only option c. 2,836 satisfies this condition. The last two digits of 2,836, 36, form a multiple of 4 (9 times 4 is 36).

Therefore, the number 2,836 is divisible by both 2 and 4, hence the correct answer is: c.2,836

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Answer:

\(to \: convert \: degree \: to \: radian \: \: multiply \\ \: by \: \frac{\pi}{180} \\ so \: here \\ - 360 \times \frac{\pi}{18 0 } \\ = - 2\pi \\ thank \: you\)

$4,777.81

Interest is money gained on an initial investment or loan.

Compound Interest

Interest is when the amount owed increases at a certain rate. In compound interest, the amount of interest earned increases periodically. In this case, the loan is compounded once a year. Additionally, the amount owed increases at a rate of 11.5% per year. The formula to solve compound interest is:

In this formula, P is the principal, r is the rate as a decimal, n is the number of times compounded per year, and t is the time in years.

Solving for Amount Owed

To find A, all we need to do is plug in the information we know. However, since n is 1, we can ignore it in the equation.

This means given the interest rate, $4,777.81 will be owed.

Answer:

11x+8x^(2)+6

Step-by-step explanation:

Answer:

8x² + 11x + 6

Step-by-step explanation:

Combine like terms. Like terms have same variable with same exponent.

5x and 6x are like terms. Add the coefficient of the like terms.

(-1) & 7 are constants and add (-1) & 7.

      8x² + 5x - 1 + 6x + 7 = 8x² + 5x + 6x - 1 + 7

                                       = 8x² + 11x + 6

The average speed of John for the whole journey is 54km/h.

Calculating average speed involves dividing the total distance traveled by the total time it took to cover that distance.

Speed is the rate of movement of something at a specific time.

Average speed refers to the average speed over the course of a journey.

So, the average speed will be:

Distance = speed x time

d₁ = v₁ x t₁

d₁ = 50 x 3

d₁ = 150 km

d₂ = v₂ x t₂

d₂ = 60 x 2

d₂ = 120 km

So,

D = d₁ + d₂

D = 150 + 120

D = 270 km

Utilizing the S formula:

S = D/ T

S = 270 / 5

S = 54 km/hr

S = 54km/hr

Therefore, the average speed of John for the whole journey is 54km/h.

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Answer:

8

Step-by-step explanation:

3x - 4 = 20

add

3x = 24

divide

x = 8

Answer:

problem 1 is 70 and problem 3 is 100

Answer:

28x+8y+2

Step-by-step explanation:

-2×3x=-6x

-2×12y=-24y (+×-)=(-)

-2×-5=10(-×-)=(+)

-2×-17x=34x

-2×-16y=32y

-2×4=-8

collect like terms

-6x-24y+10+34x+32y-8

28x+8y+2

Angle 3 and Angle 8 form a linear pair.

Linear Pair is a pair of angles that form a straight angle.

A straight angle is 180 degrees.

Now,

We can write:

We know Angle 3 is 38, so we substitute and figure out Angle 8. Shown below:

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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The problem with Rodell's method for collecting data is that it may result in a biased sample.

Rodell is only polling the students on his football and basketball teams, which means the sample he collects is not representative of the entire student population at his school.

The favorite gaming app among the students on his teams may not be the same as the favorite gaming app among the broader student population.

To obtain a more accurate representation of the students' preferences, Rodell should aim for a random sample that includes students from various groups within the school, such as different grade levels or extracurricular activities.

This would help to minimize bias and ensure that the results reflect the overall preferences of the student body.

By solely relying on the football and basketball teams, Rodell's method limits the diversity of the sample, potentially leading to skewed results and an inaccurate conclusion about the favorite gaming app among all students at the school.

Therefore, Rodell's data collection method is flawed because it could lead to a biased sample, as it only includes students from his football and basketball teams.

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Answer:

A

Step-by-step explanation:

Hopefully this helps

Answer:

Step-by-step explanation:

(9). Reflection across the x-axis keeps the same x-coordinate and y-coordinate is the opposite to original ( x , y ) ------> ( x , - y )

(10).  Reflection across the y-axis keeps the same y-coordinate and x-coordinate is the opposite to original ( x , y ) ------> ( - x , y )

(11). Translation along the vector < 0, 2 >  means that each point of triangle moves 2 units UP  ( x , y ) ------> ( x , y + 2 )

(12). Translation along the vector < 3, - 4 >  means, that each point of triangle moves 3 units to the RIGHT and 4 units DOWN  ( x , y ) ------> ( x + 3 , y - 4 )

(13). ( x , y ) ------> ( - x , - y )

(14). ( x , y ) ------> ( - y , x )  

Step-by-step explanation:

Greetings !

Firstly, write down the given expression

\(g(x) = 2x + 8x - 1\)

simplify it to be more accurate where 2+8=10

\(g(x) = 10x - 1\)

plug in -3 in the value of x and simplify the expression

\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)

Thus, subtract the numbers

\(g( - 3) = - 31\)

Hope it helps!

Answer:

C

Step-by-step explanation:

Answer:

first : x²-10x=39

{-3;13}

second : multiply both sides by 1\4

last is : {-1;5}

Answer:

5, 12, 13

Step-by-step explanation:

let x be the longer leg then x + 1 is the hypotenuse and x - 7 the shorter leg

Using Pythagoras' identity in the right triangle

x² + (x - 7)² = (x + 1)² ← expand using FOIL

x² + x² - 14x + 49 = x² + 2x + 1

2x² - 14x + 49 = x² + 2x + 1 ( subtract x² + 2x + 1 from both sides )

x² - 16x + 48 = 0 ← in standard form

(x - 4)(x - 12) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 12 = 0 ⇒ x = 12

x = 4 , then x - 7 = 4 - 7 = - 3 ← not possible

x = 12, then x - 7 = 12 - 7 = 5 and x + 1 = 12 + 1 = 13

The lengths of the 3 sides are

longer leg = 12 m , shorter leg = 5 m and hypotenuse = 13 m

The routine in section 2.4.4 is generally faster and more efficient than the simple routine for computing f(x) = xn, especially for large values of n.

The amount of time used to compute f(x) = xn using a simple routine to perform exponentiation depends on the values of x and n. However, in general, the time complexity of this simple routine is O(n), meaning that the time used to compute f(x) increases linearly with the value of n.

On the other hand, the routine in section 2.4.4 uses a more efficient algorithm to perform exponentiation, with a time complexity of O(log n). This means that the time used to compute f(x) using this routine increases at a much slower rate as the value of n increases.

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Answer:

Parallelogram, rhombus, rectangle, square.

Hope this helps.

Step-by-step explanation:

-8 < 4

hope it helps

Answer: -2≤-8<4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

15 is 3 times 2 while 75 is 15 times 5

Answer:

False. 2:5 isn't an equivalent ratio to 15:75

Step-by-step explanation:

it would be an even number.

The insurance agent's claim was not supported by the data and there may have been a Type II error made in the hypothesis test.

In this scenario, the null hypothesis is that the mean number of miles a car is driven per month is equal to 1000 miles. The alternative hypothesis is that the mean number of miles a car is driven per month is less than 1000 miles. The insurance agent conducted a hypothesis test and failed to reject the null hypothesis. This means that there was not enough evidence to support the claim that the mean number of miles a car is driven per month is less than 1000 miles. Since the null hypothesis cannot be proven, it is possible that an error was made. The type of error that was made is a Type II error. This occurs when the null hypothesis is not rejected, even though it is false. In this scenario, the null hypothesis is false (since the mean number of miles a car is driven per month is actually 1000 miles), but the hypothesis test failed to detect this.

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Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

175 pi ^3

Step-by-step explanation:

The volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

\(\rm V = \pi r^2 h\)

Volume can be defined as a three-dimensional space enclosed by an object or thing.

As we know,

We can find the volume of the cylinder by using the given formula:

\(\rm V = \pi r^2 h\)

The radius of the base r = 5 units

The height of the cylinder h = 7 units

\(\rm V = \pi (5)^2 (7)\)

V = 25x7π

V = 175π cubic units

Or

V = 175π units³

Thus, the volume of the cylinder is 175π cubic units or 175π units³ if the radius of the base r is 5 units and the height of the cylinder h is 7 units option (A) 175π units³ is correct.

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The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

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Answer:

the fruit juice and lemonade required 8 liters and 32 liters respectively

Step-by-step explanation:

The computation of each ingredient does she needed is given below:

Given that

There is liters of punch for a party is 40

And, the ratio of fruit juice to lemonade is 1:4

So,

The fruit juice is

= 40 × 1 ÷ 5

= 8 liters

And, for lemonade it is

= 40 × 4 ÷ 5

= 32 liters

hence, the fruit juice and lemonade required 8 liters and 32 liters respectively

Answer:

the prime factorizime of 90 is this 2 × 3 × 3 × 5 or 2 × 3² ×5

The mathematical expression is as follows.

1) 4(v +3)

2) 15v -7

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x 2 2xy + c.

Given Data

Suppose the number is v

1) To obtain: four times the product of v and 3.

Accordingly, we must first add v and 3, and then multiply the result by 4.

The mathematical expression is as follows.

= 4(v+3)

2) Assume that v is the given integer.

What we're aiming for is: 7 less than 15 times v.

This calls for multiplying the v by 15 and then taking 7 out of the result.

The expression in algebra would be as follows:

= 15v - 7

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