The question is done below has square roots and exponents. Pretty easy.

Answer:

A. 0.4 km

B. 48 fruits to 12 vegetables

C. 72 hours

60%

Step-by-step explanation:

1 km = 1000 m

You have 400 m

1000m/1km = 400m/1000m

400/1000

0.4km

4:1

Ok so an easy way to do this one is multiplication.

you need the number of fruits to be 4 times more than the number of vegetables.

A would be 2:1 because 16 is 2 times more than 8

B would be 4:1 because 48 is 4 times more than 12

C would be 8:1 because 24 is 8 times more than 3

D would be 3:1 because 60 is 3 times more than 20

B would be the correct answer

If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.

216/3

72 hours

The tigers won 12 of their last 20 games.

12/20

0.6

Percent is 100 times the decimal.

0.6*100

60%

Don't be afraid to reach out with any more questions! I hope this helps!

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer: length = 12 width = 15

12 times 2 = 24

12 + 3 = 15

15 times two is 30

30 plus 24 is 54

The probability that the sample's mean length is greater than 6.3 inches is0.8446.

Here, we have,

Given mean of 6.5 inches, standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event.

It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Answer:

A.

Step-by-step explanation:

The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

Here, we have,

given that,

the expression is:

4x^2 - 4

now, we have to simplify this.

we know that ,

The a^2 - b^2 formula is also known as "the difference of squares formula". The a square minus b square is used to find the difference between the two squares without actually calculating the squares.

It is one of the algebraic identities.

It is used to factorize the binomials of squares.

The a^2 - b^2 formula is given as:

a^2 - b^2 = (a - b) (a + b).

so, we have,

4x^2 - 4

= (2x)^2 - 2^2

= (2x -2 ) (2x+2)

Hence, The solution is, the simplification of the equation is :

4x^2 - 4 = (2x -2 ) (2x+2)

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Answer:

3:5

3/8×88

33 women

5/8×88

55 men

Answer: I attached the answer below

Step-by-step explanation:

Answers:

Domain = [-3, 3]

Range = [-1, 2]

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

Explanation:

The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.

Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that \(-3 \le x \le 3\) meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".

------------

The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is \(-1 \le y \le 2\) which converts to the interval notation of [-1, 2]

Answer:

this is just simplified

800w!^2

Step-by-step explanation:

5+4m=21

4m=21-5

4m=16

m=16/4

m=4

Answer:

m=6

Step-by-step explanation:

(6)+4m(-1)=21<subtract 6-1

(-5)+4m=(21)<subtract 5 to both sides

(4m)=(26)<divide

Answer:

The length of the longer ladder is 36ft

Step-by-step explanation:

30ft/10ft = 3

12ft x 3 = 36ft

Another way to solve this is by cross multiplying

\(\frac{10}{12}\) = \(\frac{30}{x}\)

10x = 360

x = 36ft

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Answer:

2 or -2

Step-by-step explanation:

Answer:

the answer is A on edge

Step-by-step explanation:

2

a. The bill when Cameron and Cadena go out to eat for lunch is $24.525

b. The percentage of the cost of their food and beverages that they give as tip will be 18%.

From the information, Cameron and Cadena go out to eat for lunch. If their food and beverages cost $22.50 and there is a 9% meals tax, the bill will be:

= $22.50 + (9% × $22.50)

= $22.50 + $2.025

= $24.525

The percentage of the cost of their food and beverages that they give as tip will be:

= (28.95 - 24.525) / 24.525 × 100

= 18%

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He saved 180 naira by buying three dozen eggs in sixes Instead of separately.

A group of twelve is referred to as a dozen and is frequently abbreviated as doz or dz. Given that there are roughly twelve lunar cycles (or months) in each cycle of the sun (or year), the number twelve may be one of the earliest primitive integer groupings.

Twelve is useful because it has the greatest number of divisors among numbers up to its double, a property shared only by the numbers 1, 2, 6, 12, 60, 360, and 2520.

1 dozen = 12

3 dozen = 36

6 eggs costs 150 naira

36 eggs costs 150 naira = 36/6 × 150

                                         = 900 naira

Each egg costs 30 naira, then 36 eggs costs = 36 × 30

                                                                            = 1080 naira

Savings = 1080 - 900 = 180 naira

Thus, He saved 180 naira by buying three dozen eggs in sixes Instead of separately.

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According to Pascal's triangle, The number of ways to get 4 heads and 2 tails tossing a coin 6 times is Option C.15

Pascal's Triangle:Pascal's triangle is a mathematical pattern that is named after French mathematician Blaise Pascal.

It is a triangular array of numbers, with the first row having the number 1 and each following row being constructed by adding the two numbers directly above it.

It is used to solve combinatorial problems and to find the binomial coefficients.

For instance, to find the number of ways to get 4 heads and 2 tails while flipping a coin 6 times, Pascal's Triangle is used.

The given question is as follows: Use Pascal's triangle to find the following.

Use heads as the x of the first value, reading the triangle from the left to right. write the combination in nCr form and verify with your calculator.

the number of ways to get 4 heads and 2 tails tossing a coin 6 times.

The solution is as follows: When we flip a coin, we either get a head or a tail.

Therefore, the probability of getting a head is 1/2, while the probability of getting a tail is also 1/2.

We can now use the binomial formula to determine the number of ways to get 4 heads and 2 tails in 6 coin flips: `(6C4)*(1/2)^4*(1/2)^2 = 15`.

This implies that there are 15 ways to get 4 heads and 2 tails when flipping a coin 6 times.

The answer to the given question is C.15.

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Answer:

5:15

Step-by-step explanation:

Quater means 15 and passed means 15 passed 5

The domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

All the potential values of the independent variable, x, for which y is specified, constitute the domain and range of a function. Every possible value of the dependent variable y falls inside a function's range.

We have the given quantity

\(\frac{3x^{2} +x-4}{x - 1}\)

So, we can say that now we have a function, let f(x) be the function such that

f(x)= \(\frac{3x^{2} +x-4}{x - 1}\)

As from the fact that, the set of all input values for which this function is defined is called the domain of the function.

And the set of values for the input values is called the range of the given function.

Here, function is not defined for x = 1.

Because if we put x = 1, we get denominator 0. And (something / 0) is not defined.

So, we can input any real numbers for x in function f(x) except 1. Because at x = 1 our function is not defined.

Therefore, the domain of given function f(x) is all the real numbers except 1.

And, if we input all the real numbers in function f(x)  we get only real numbers as the output. Therefore, the range of the given quantity or function is real numbers.

Hence, the domain of the given quantity is all the real numbers except 1.

And range of the function is all the real numbers.

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9514 1404 393

Answer:

  b = -8, 2.5

Step-by-step explanation:

The equation can be rewritten to standard form:

  2b² +11b -40 = 0

In this form, it can be factored by looking for factors of (2)(-40) that have a total of +11.

  -80 = 80(-1) = 40(-2) = 20(-4) = 16(-5) = 10(-8)

The factors 16 and -5 total 11, so we can now write the equation in a form suitable for factoring by grouping:

  2b² +16b -5b -40 = 0 . . . . write the b term using the numbers we found

  2b(b +8) -5(b +8) = 0 . . . . factor pairs of terms

  (2b -5)(b +8) = 0 . . . . . . . . finish the factoring

Solutions are values of b that make these factors zero:

  2b -5 = 0  ⇒  b = 5/2

  b +8 = 0  ⇒  b = -8

Solution to the equation are b = -8 and b = 5/2.

Answer:

I think the 1st option but I would have to double check my work

Answer: 54:4

Step-by-step explanation:

The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.

The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).

The equatiοn is given belοw.

x² + 16x = 22

Add bοth side 64.

x² + 16x + 64 = 22 + 64

        (x + 8)² = 86

Then the cοrrect οptiοn is A.

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Complete question:

Which equation is equivalent to the given equation? x² + 16x = 22

a. (x+8)² = 86

b. (x+8)² = 38

c. (x+16)² = 278

d. (x+4)² = 22

A line of two points (4, 2) and (-1, k) is perpendicular to the line y=2x+1, then k = 9/2.

Given a line with equation y = mx + c, the slope is denoted by m.

Given 2 points with slopes m₁ and m₂, those two lines are perpendicular if:

m₁ x m₂ = -1

The given line equation is:  y = 2x+1

Hence,

m₁ = 2

Compute the slope from 2 points: (4, 2) and (-1, k)

m₂ = (k - 2) / (-1 - 4)

m₂ = (-1/5) (k - 2)

Use the condition for perpendicular lines:

m₁ x m₂ = -1

2 x (-1/5) (k - 2) = -1

2k - 4 = 5

2k = 9

k = 9/2

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Based on the information, it can be inferred that the order from lightest to heaviest lure would be: 0.25 (c), 0.372 (d), 0.5625 (b), and 0.625 (a).

To calculate the weights of the lures we must take into account that they are fractional, that is to say that to find an exact number of the weight of each one of the lures we can carry out the division of the fractional to have a decimal number that allows us to organize more easily the pesos.

According to the above information, the weights would be the following:

a. 5/8 = 0.625

b. 9/16 = 0.5625

c. 1/4 = 0.25

d, 3/8 = 0.372

Then, the weights organized from smallest to largest would look like this: 0.25 (c), 0.372 (d), 0.5625 (b), and 0.625 (a).

Note: This question is incomplete because there is some information missing. Here is the complete information:

Options:

a. 5/8OZ

b. 9/16 OZ

c. 1/4OZ

d. 3/8OZ

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Answer:

37.5

Step-by-step explanation:

150/4 divide it hope this helps

Answer:

The answer is the last choice, h= 2a/b

Step-by-step explanation:

If you take the original equation, a=1/2bh, you can first divide each side of the equation by 1/2, this would give you 2a = bh.  Next you would divide each side of the equation by b to solve for h.  This would give you h= 2a/b, which is your final answer.

Answer:  A) 3 x 4

Step-by-step explanation:

The dimensions of a matrix are ROWS x COLUMNS.

The given matrix has 3 rows and 4 columns,

therefore the dimensions are: 3 x 4

The average number of enrollments per day at the Sunnyside Daycare is 21.

An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.

An average is the mean, which is one of the central tendency values.

Day          Number of Enrollments

Monday                 17

Tuesday                19

Wednesday         23

Thursday              14

Friday                  25

Saturday             28

Total =               126

Average enrollments = 21 (126/6)

Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.

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What was the average number of enrollments per day?

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.