Find |23| absolute value

Answer:

25 calculators

Step-by-step explanation:

each calculator costs $50 (1000÷20)

so 1250÷50=25

Answer:

Divide the number of minutes by 60.

Step-by-step explanation:

Answer:

9 over 50

Step-by-step explanation:

The range of Axel's training zone, assuming a moderate exercise intensity, would be approximately 123 to 164 beats per minute (BPM).

To calculate this range, we use the Karvonen formula, which takes into account Axel's resting heart rate (RHR) and desired training intensity. Assuming a moderate-intensity workout, we can use a target heart rate range of 60% to 80% of his MHR.

Target Heart Rate = ((MHR - RHR) x %Intensity) + RHR

Assuming a resting heart rate of 65 BPM and moderate intensity of 60% to 80% of his MHR, Axel's target heart rate range would be approximately 123 to 164 BPM.

Therefore, the range of Axel's training zone would be approximately 123 to 164 BPM.

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I am answering first so thank you very much.

Answer:

m=-2/3

Step-by-step explanation:

two points from graph:(-1,1) and (-4,3)

m=y2-y1/x2-x1

m=3-1/-4-(-1)

m=2/-3

m=-2/3

Step-by-step explanation:

Gradient = Coefficient of x = -1.

To find the total number of revolutions the 32 windmills complete in 1 minute, you would use the operation of multiplication.

Multiplication is a mathematical operation used to find the total number of items in a group when the number of items in each group and the number of groups are known.

In this case, we know that there are 32 windmills and each windmill completes 120 revolutions per minute. To find the total number of revolutions completed by all 32 windmills, we need to multiply the number of windmills by the number of revolutions each windmill completes per minute.

So, the calculation would be: 32 * 120 = 3840. This calculation is read as "32 multiplied by 120 equals 3840." The result, 3840, represents the total number of revolutions completed by all 32 windmills in 1 minute.

In short, the operation of multiplication is used to find the total number of revolutions completed by all 32 windmills in 1 minute because it allows you to find the total number of items in a group when the number of items in each group and the number of groups are known.

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Answer:

51 Yards

Step-by-step explanation:

Each side is 36 yards. split the square in half(corner to corner) making two right triangle use the pythagorean theorem (\(A^{2}\) + \(B^{2}\) =\(C^{2}\) ) to solve.

\(36^{2}\)+\(36^{2}\)= \(C^{2}\)

1296+1296= 2592

√2592= 50.911

50.911 rounds up to 51

The length of each walkway would be,

⇒ 51 yards

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

A school has a square courtyard and wants to create diagonal walkways.

Here, The length of each side of the courtyard is 36 yards.

Now, The length of each walkway would be,

⇒ √ 36² + 36²

⇒ √ 1296 + 1296

⇒ √ 2592

⇒ 50.91

⇒ 51 yards

Thus, The length of each walkway would be,

⇒ 51 yards

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V = ( 4/3 ) × π × r^3

V = ( 4/3 ) × π × ( 6/2 )^3

V = ( 4/3 ) × π × ( 3 )^3

V = ( 4/3 ) × 3 × 9 × π

V = 4 × 9 × π

V = 36 π m^3

Thus the correct answer is option D .

The effective annual rate for 9% compounded daily is approximately 9.34%, for 9% compounded monthly is approximately 9.38%, and for 9% compounded yearly is 9%.

To calculate the effective annual rate, we use the formula: (1 + r/n)^n - 1, where r is the stated annual interest rate and n is the number of compounding periods per year.

For 9% compounded daily, the calculation is (1 + 0.09/365)^365 - 1, resulting in an effective annual rate of approximately 9.34%.

For 9% compounded monthly, the calculation is (1 + 0.09/12)^12 - 1, which gives an effective annual rate of approximately 9.38%. Finally, for 9% compounded yearly, there is no need for calculation as the stated interest rate and the effective annual rate are the same, which is 9%. The effective annual rate takes into account the compounding frequency and represents the total interest earned on an investment over a year. Higher compounding frequencies lead to slightly higher effective annual rates due to more frequent interest accumulation.

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Answer:

8 lb box

Step-by-step explanation:

Find which laundry detergent has a lower unit price

The unit price is how much something costs for a single unit

In this case, it is how much the detergent costs for 1 pound

7.4/8 lbs = 0.925 dollars per lb

5.38/4 lbs = 1.345 dollars per lb

Since 1.345 > 0.925, the 8 lb box is a better buy

Case 1

Cost of 8 pound detergent = $7.40

So, cost of 1 pound detergent

= $7.40 ÷ 8

= $0.925

Case 2

Cost of 8 pound detergent = $5.38

So, cost of 1 pound detergent

= $5.38 ÷ 4

= $1.345

$0.925 < $1.345

$0.925 < $1.345So, cost per pound in 8 pound box < cost per pound in 4 pound box

So, buying the 8 pound box is better.

The area of the circle, as a function of x, will be:

A(x) = 3.14*(3ft + 2x)²

We know that for a circle of radius R, the area is:

A = pi*R²

Where pi = 3.14

In this case we have a circular plot of land with a diameter of 6ft, then the radius (half of that) is:

R = 6ft/2 = 3ft

And then we have a walkway with a width of 2x, then the radius of the circle that includes the walkway is:

R' = 3ft + 2x

Replacing that in the area equation we will get:

A(x) = 3.14*(3ft + 2x)²

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The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

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The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

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The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

The null hypothesis of the botanist would be H₀ which is the average age of the trees in the oak mott is 100 years or less.

The null hypothesis assumes that the average age of the trees in the oak mott is not significantly different from or lower than 100 years.

The botanist will then collect data and perform statistical analysis to determine whether there is enough evidence to reject the null hypothesis in favor of an alternative hypothesis that supports the claim.

The null hypothesis for the botanist's claim would typically be stated as follows:

H₀: The average age of the trees in the oak mott is 100 years or less.

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Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

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A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

C. 1 to 4

Step-by-step explanation:

The ratio is used to describe situations like "for how many x's, there are many y's". In this case, we are trying to find the ratio for A baskets scored to B baskets scored, team A scores one basket, then team B will score 4 baskets. Then we can write the ratio of A to B as 1:4, which is 1 to 4.

Hope I did this correctly since it was long ago that I lastly worked with ratios

Answer:

#1. The zeros of the function g(x) are −3/2, 1, and 3 (all with multiplicity 1).

#2. The zeros of the function h(x) are −1 and −2 (both with multiplicity 2).

The expression can be simplified as follows:

2(x - y)/[y(x + y)]

The condition for the expression is given as follows:

x ≠ y, y ≠ 0.

The expression for this problem is defined as follows:

[(x - y)²]/(2xy + 6y) x (4x + 12)/(x² - y²)

The factors of the expression can be simplified as follows:

The terms that can be simplified are given as follows:

Hence the product is given as follows:

(x - y)/(x + y) x 2/y

2(x - y)/[y(x + y)]

As the expression is a fraction, the denominator cannot be zero, hence the conditions are given as follows:

x ≠ y, y ≠ 0.

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The logarithms of the terms of the geometric sequence a, ar, ar^2 form an arithmetic sequence because the logarithm of a product is equal to the sum of the logarithms of the individual factors.

To show this, let's take the logarithm of each term:

log(a) = x

log(ar) = y

log(ar^2) = z

Now, we can express the terms in terms of x, y, and z:

x = log(a)

y = log(ar) = log(a) + log(r)

z = log(ar^2) = log(a) + log(r^2)

If we subtract x from both sides of the equation for y, we get:

y - x = log(r)

Similarly, if we subtract x from both sides of the equation for z, we get:

z - x = log(r^2)

Notice that the difference between the terms y and x is equal to the difference between the terms z and x. This shows that the logarithms of the terms of the geometric sequence form an arithmetic sequence.

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Answer:

1/12

Step-by-step explanation:

1)Since it is a fair dice the probability of getting a 2 is 1/6 since there are 6 sides in a dice.

2)In a coin there are only 2 possible outcomes, which are heads and tails so the probability of getting heads is 1/2.

3)To get the probability of rolling a fair dice and getting 2 with also getting heads from a fair coin you multiply both probabilties. So you do 1/6 x 1/2 = 1/12.

Thanks for reading, please let me know if i have missed out anything!

The total perimeter will be 4x^+17 and length be 22.76 cm

As per the data given in the questions,

We have, the shape of the sandwich be rectangular.

We know that, perimeter of the rectangle can be determined by using formula: 2(l+b),

where, l = length of the rectangle

and, b = breadth of the rectangle

The expression for the perimeter of the sandwich would be:

2 (2x^2 + 9) + 2 (2x^2 + 8)

= 4x^2 + 26

Now for finding the length of the crust,

we will put the value of x=1.2,

So, the value of the approximate length of the crust would be:

=4x^2 + 26

= 4 * 1.2^2 + 26

= 22.76 centimetres.

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Answer: 20

Step-by-step explanation:

Plug three in for X
now multiply 4 times 3 to get 12 then add eight in your answers 20

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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