The women's world record for the high jump is 2.09 meters. A puma can jump 2.2 times as high. What
is the height a puma can jump?

Answer: The cost to make 400 baseball caps is $3,200

Step-by-step explanation:

The answer they gave you is a set of coords, x and y coords to be exact. That means that x value is inputed into the equation and that y value is the asnwer.

You put in 400, you get 3200.

They also gave us that x equals the number of baseball caps. Then y equals the cost of making those baseball caps

Answer:

The cost to produce 400 caps is the same as the income made from selling 400 caps.

The company will break even when it sells 400 caps; it will not make a profit.

Step-by-step explanation:

EDGE 2021

Answer:

\(\frac{15}{8}\) or \(1\frac{7}{8}\)

Step-by-step explanation:

\(2\frac{1}{4}-\frac{3}{8}\)

\(2\frac{2}{8}-\frac{3}{8}\) <-- Get same denominator

\(\frac{18}{8}-\frac{3}{8}\) <-- Turn mixed number into improper fraction

\(\frac{15}{8}\) or \(1\frac{7}{8}\)

Step-by-step explanation:

she sell 5piece out of 6 per hour

for 36 hour, she sell:

5 × 36 = 180piece of pie

one pie is cut to 6 piece

180/6 = 30pie

In a ruby crystal with the composition (Al0.99Cr0.01)2O3, there are approximately 3.7 x 10^18 Cr3+ ions in a ruby of dimensions 1 cm^3. It is based on the molar mass and Avogadro's number.

To determine the number of Cr3+ ions in the ruby crystal, we need to consider the composition of the crystal and use some basic calculations. The composition (Al0.99Cr0.01)2O3 indicates that for every two formula units of the crystal, there is a total of 0.01 moles of Cr present.

First, we calculate the molar mass of Cr3+, which is 51.996 g/mol. Since the crystal has a composition of 0.01 moles of Cr, we can calculate the mass of Cr in the crystal as follows:

Mass of Cr = (0.01 moles) * (51.996 g/mol) = 0.52 g

Next, we convert the mass of Cr to the number of Cr3+ ions using Avogadro's number, which is approximately 6.022 x 10^23 ions/mol. The number of Cr3+ ions is given by:

Number of Cr3+ ions = (Mass of Cr) / (Molar mass of Cr3+) * Avogadro's number

Number of Cr3+ ions = (0.52 g) / (51.996 g/mol) * (6.022 x 10^23 ions/mol)

Calculating this expression gives us approximately 3.7 x 10^18 Cr3+ ions.

Therefore, in a ruby crystal with the given composition and dimensions of 1 cm^3, there are approximately 3.7 x 10^18 Cr3+ ions present.

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Answer:

A) 4V15

Step-by-step explanation:

let me know if you need an explanation! hope this helpful! c:

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

in the equation y = mx+b, m is the slope, and in the equation m =2

the slope of a perpendicular line is the negative reciprocal of the other slope.

slope of perpendicular= -1/m = -1/2

y = -1/2x + b

now find b by substituting in (1,8) into the partial equation

8 = -1/2 + b

b = 8+ 1/2

b = 17/2

please give thanks :) hope this helps

To find the smallest possible value of $n$ that Mack can reach, we need to consider the relative distances of the two possible moves.

Mack can either move 126 units to the right or 98 units to the left. We want to find the point with a positive number $n$ that is as close to 0 as possible.

Let's consider the moves:

Moving 126 units to the right would place Mack at $0 + 126 = 126$.

Moving 98 units to the left would place Mack at $0 - 98 = -98$.

Since we want a positive number $n$ closest to 0, we can compare the absolute values of 126 and 98.

|126| = 126 |98| = 98

Comparing the absolute values, we see that 98 is closer to 0 than 126. Therefore, the smallest possible value of $n$ that Mack can reach is 98.

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Answer:

The answer is "\(y\approx 1.4\)".

Step-by-step explanation:

In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.

Answer:

b

Step-by-step explanation:

The intersection of set A = [-4, 1] and set B = [-3, 0] is [-3, 0]. This means that the resulting set contains the values that are common to both sets A and B.

To determine the intersection of sets A and B, denoted as A ∩ B, we need to identify the values that are common to both sets.

Set A is defined as A = [-4, 1] and set B is defined as B = [-3, 0].

To determine the intersection, we look for the overlapping values between the two sets:

A ∩ B = [-4, 1] ∩ [-3, 0]

By comparing the intervals, we can see that the common interval between A and B is [-3, 0].

Therefore, the simplest version of the resulting set, A ∩ B, is [-3, 0] in interval notation.

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Answer:

c 25 cubic unit

Step-by-step explanation:

2 1/2=5/2

v=length *width *height

(5/2)*4*(5/2)=25

It would be 25 cubic squares

quiz verified

Answer:

Step-by-step explanation:

Petra

Answer:

Lin

Step-by-step explanation

(Plz listen to other awnser if right) I need coins plz ignore answer thx

The value of k is 4.

We have,

4/ (k+3)= 8/14

Using cross multiplication

4 (14)= 8 (k+3)

56 = 86 + 24

Subtract 24 from both side we get

56  -24 = 8k + 24 - 24

32 = 8k

Divide both side by 8 we get

32/8 = 8k/8

4 = k

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The expressions that are True are 8 < 10, 10 != 8,  8 <= 10 and 10 >= 8 Thus correct options are b, c, d and e

Let's go through each expression and determine if it evaluates to True or False:

a. 10=8: This expression checks if 10 is equal to 8. Since 10 is not equal to 8, this expression evaluates to False.

b. 8 < 10: This expression checks if 8 is less than 10. Since 8 is indeed less than 10, this expression evaluates to True.

c. 10 != 8: This expression checks if 10 is not equal to 8. Since 10 is not equal to 8, this expression evaluates to True.

d. 8 <= 10: This expression checks if 8 is less than or equal to 10. Since 8 is less than 10, this expression evaluates to True.

e. 10 >= 8: This expression checks if 10 is greater than or equal to 8. Since 10 is indeed greater than 8, this expression evaluates to True.

In summary, the expressions that evaluate to True are:

b. 8 < 10

c. 10 != 8

d. 8 <= 10

e. 10 >= 8

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Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25

It will take Lamar 18.5 months to double his money, including the time required for his savings to earn interest.

Calculate the amount of money Lamar needs to save in order to double his money.

To calculate the amount of money Lamar needs to save, we can use the formula:

Amount Needed to Save = Initial Investment / (1 + Interest Rate)^No. of Compounding Periods

Using this formula, we can calculate that Lamar needs to save $5,000 in order to double his money.

Calculate the number of months required for Lamar to save the required amount.

We can use the formula:

No. of Months = Amount Needed to Save / Monthly Savings

In this case, Lamar will need to save $416.67 per month in order to double his money. Therefore, it will take him 12 months to save the required amount.

Calculate the total time required for Lamar to double his money.

We can use the formula:

Total Time = No. of Months / (12 x Interest Rate)

Using this formula, we can calculate that it will take Lamar 18.5 months to double his money, including the time required for his savings to earn interest.

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It will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

To calculate the time it will take for Aidan to save enough for the speed boat, we can use the formula for compound interest. The formula is given by:

\(Future Value = Present Value * (1 + interest rate)^{(number of periods)}\)

In this case, Aidan currently has $2,600 saved, and he saves an additional $205 per month. The future value (FV) is $29,000, and the interest rate (r) is 1.7% per year. We need to find the number of periods (t) in years. Rearranging the formula, we get:

t = log(FV / PV) / log(1 + r)

Plugging in the values, we have:

t = log((29000 - 2600) / 205) / log(1 + 0.017)

≈ 9.70 years

Therefore, it will take Aidan approximately 9.70 years to save enough to buy the $29,000 speed boat.

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a) Hypothesis:H0: µ1= µ2 (There is no difference in the mean value of sales sold by male and female agents in the company.)Ha: µ1≠ µ2 (There is a difference in the mean value of sales sold by male and female agents in the company.)b) The hypothesis test is two-tailed.

c) Decision rule:Here, we have σ1 and σ2 values given. So, we will use the z-test for two means.Therefore, the decision rule for a two-tailed test using z-test for two means is:Reject H0 if z > 1.96 or z < -1.96Otherwise, fail to reject H0. d) The formula for calculating the value of the statistical test is given by:z = (x1 - x2) / √((σ12 / n1) + (σ22 / n2))where,x1 = 213, x2 = 131, σ1 = 35×3, σ2 = 35×1, n1 = 71 and n2 = 83Putting the values in the above formula, we getz = (213 - 131) / √((35×3)2 / 71 + (35×1)2 / 83)≈ 10.54e) As the calculated value of z (10.54) is greater than 1.96, we reject the null hypothesis. Hence, there is a difference in the mean value of sales sold by male and female agents in the company.

Therefore, we conclude that there is a difference in the average value of sales sold by male agents and female agents in the company.

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To determine the points of intersection we first equate the expressions, then we solve for x. Once we have the values of x for which the functions are equal we plu them on one of the function to find its corresponding value of y.

a)

Let's equate the functions and solve for x:

Now we find the corresponding values of y for each value of x; to do this we use the second equation.

When x=3:

Hence the functions intersect at (3,11)

When x=2:

Hence the functions intersect at (2,6)

Therefore the function intersect at the points (3,11) and (2,6).

b)

Let's equate the functions and solve for x:

Now we find the corresponding values of y for each value of x; to do this we use the second equation.

When x=7:

Hence the functions intersect at (7,-26)

When x=-1:

Hence the functions intersect at (-1,-2)

Therefore the function intersect at the points (7,-26) and (-1,-2).

Answer:

x = 1

Step-by-step explanation:

f(x) = (x - 1)²

f(x) = (x -1)(x - 1)

*Note: to find zeros set your equation equal to zero

x - 1 = 0

x = 1

*Since both quantities are the same x = 1 is your only zero.

\( x = \sqrt{3} \)

Step-by-step explanation:

Given:

\( \sin(ABC) = \frac{AC}{AB} \)

\( = > \sin(60) = \frac{3}{AB} \)

\( = >AB= 2 \sqrt{3} \)

Now by Pythagoras theorem,

\(AC^{2} + BC^{2} = AB^{2} \)

Substituting values,

\( {3}^{2} + {x}^{2} = (2 \sqrt{3})^{2} \)

\( = > {x} = \sqrt{3} \)

Hence, value of x is \( \sqrt{3} \)

Answer:

x = \(\sqrt{3}\)

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , then

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{3}{x}\) = \(\sqrt{3}\) ( multiply both sides by x )

3 = x × \(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )

\(\frac{3}{\sqrt{3} }\) = x , then rationalising the denominator

x = \(\frac{3}{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) = \(\frac{3\sqrt{3} }{3}\) = \(\sqrt{3}\)

Answer:

-2.5

Step-by-step explanation:

Using the sine rule, a/sinA = b/sinB.

So, sinB = bsinA/a

substituting sinA = -1, a = 10 and b = 4, we have

sinB = 10 × (-1)/4

= -10/4

= -5/2

= -2.5

The standard deviation used in scientific research is typically the sample standard deviation, also known as the population standard deviation estimator. It is a measure of the dispersion or variability of data points around the mean.

In scientific research, the standard deviation is a commonly used statistical measure that quantifies the spread of data points in a sample or population. It provides information about how much individual data points deviate from the mean. The sample standard deviation is used when working with a sample of data to estimate the population standard deviation.

The formula for calculating the sample standard deviation involves taking the square root of the average of the squared differences between each data point and the mean. It is represented by the symbol "s" and is used to describe the variability or dispersion of data within the sample.

The population standard deviation, represented by the symbol "σ," is used when working with an entire population rather than a sample. However, in scientific research, due to practical limitations, researchers often rely on sample data to make inferences about the larger population. Therefore, the sample standard deviation is commonly used as an estimator for the population standard deviation.

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Answer:

x =  27/2

y = 7/2

Step-by-step explanation:

To solve for x:

We know that 7x + 30 and 11x - 24 are vertical angles. Therefore, they are congruent/equal to each other.

7x + 30 = 11x - 24

Isolate the variable & solve for x.

x = 27/2

To solve for y:

We know that 5y + 38 and 17y - 4 are vertical angles. Therefore, they are congruent/equal to each other.

5y + 38 = 17y - 4

Isolate the variable & solve for y.

y = 7/2

Hope this helps!

Answer:

y=x(t)+y-int

Step-by-step explanation:

Where:

Y= distance

x=speed

t=time

y-int= starting height

If you can post a rate and starting height I can answer part B

Keep in mind if she is traveling down then y-int will be 0<x and the rate will be negative

Here, we can use the fact that ln(x) grows slower than any positive power of x. That means that as x approaches infinity, ln(x) approaches infinity slower than x. Therefore, (ln(x))/x approaches zero as x approaches infinity. Using this fact, we can see that the entire expression approaches zero as x approaches infinity. Therefore, the limit is equal to zero.

To get  the limit of lim (ln(x))²/3x as x approaches infinity, we can use l'Hospital's Rule. Taking the derivative of the numerator and denominator separately, we get: lim 2ln(x) * 1/x / 3
x→[infinity]
Simplifying this expression, we get: lim 2ln(x) / (3x)
x→[infinity]
Using l'Hospital's Rule again, we take the derivative of the numerator and denominator separately: lim 2 * 1/x / 3
x→[infinity]
Simplifying further, we get: lim 2/ (3x)
x→[infinity]
Since the denominator approaches infinity as x approaches infinity, the limit is equal to zero.
Alternatively, we can use an elementary method to find the limit. We can rewrite the expression as: (ln(x))^2 = (ln(x)) * (ln(x))
Then we can use the fact that ln(x) grows slower than any positive power of x. That means that as x approaches infinity, ln(x) approaches infinity slower than x. Therefore, (ln(x))/x approaches zero as x approaches infinity. Using this fact, we can see that the entire expression approaches zero as x approaches infinity. Therefore, the limit is equal to zero.

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Answer:

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

Given:

It gives us:

Divide both sides by 9.60 to find the rate:

Answer:

-no answer-

Step-by-step explanation:

Use elimination (subtract one equation from the other to get rid of one of the variables)

    x+2y=1

-   -x+2y=0

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

    ---=1

(nothing equals one)

so this is not a valid system of equations.