Which expression is equivalent to the measure of 24 in the image below?
5
6
3
1
2
4

The probability that a skydiver is injured if she jumps twice is 1/50*1/50 = 0.0004 and He is incorrect, there is a 63.58% of at least one injury occurring in 50 jumps.

The probability that a skydiver is injured = 1/50

the probability that a skydiver is injured if she jumps twice is 1/50*1/50 = 0.0004

He is incorrect, in his flawed reasoning, your friend simply multiplying the likelihood of an event by the number of trials. In this case, the real probability of an injury in 50 jumps is given by 100% minus the probability of no injuries occurring in 50 jumps. For each jump, there is a 49 in 50 chance that no injury happens, therefore:

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Therefore, it is likely that Amari used either "Type of orange" or "Number of navel oranges" as the variable for her bar graph.

In mathematics, a variable is an alphabet or phrase that denotes an elusive property, an elusive value, or an elusive quantity. The variables are utilized frequently when working with algebraic formulas or algebra. For instance, the variables x and 9 are constants in the equation x+9=4.

Based on the information provided, Amari constructed a bar graph, which suggests that she used a categorical variable for the graph.

Among the options given, "Type of orange" and "Number of navel oranges" are categorical variables, while "Diameter of the oranges" and "Price per pound of oranges" are continuous numerical variables.

Therefore, it is likely that Amari used either "Type of orange" or "Number of navel oranges" as the variable for her bar graph.

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The intercepts are (0, 0), (-√5, 0), and (√5, 0). The relative maximum is at (-1, 4), and the relative minimum is at (1, -4). The point of inflection is at (0, 0). There are no asymptotes.

To analyze the function f(x) = \(x^5\) - 5x, we can find intercepts, relative extrema, points of inflection, and asymptotes.

A. Intercepts:

To find the x-intercepts, we set f(x) = 0 and solve for x:

\(x^5\) - 5x = 0

x(\(x^4\) - 5) = 0

x = 0 (x-intercept at the origin)

\(x^4\) - 5 = 0

\(x^4\) = 5

x = ±√5 (two more x-intercepts)

The y-intercept occurs when x = 0:

f(0) = 0^5 - 5(0) = 0

So the y-intercept is (0, 0).

B. Relative Extrema:

To find the critical points, we take the derivative of f(x) and set it equal to zero:

f'(x) = 5\(x^4\) - 5 = 0

5\(x^4\) = 5

\(x^4\) = 1

x = ±1

To determine whether these are relative minima or maxima, we check the second derivative:

f''(x) = 20x³

When x = -1, f''(-1) = 20(-1)³ = -20 < 0, so there is a relative maximum at (x, y) = (-1, 4).

When x = 1, f''(1) = 20(1)³ = 20 > 0, so there is a relative minimum at (x, y) = (1, -4).

C. Point of Inflection:

To find the point(s) of inflection, we set the second derivative equal to zero:

20x³ = 0

x = 0

D. Asymptotes:

The function f(x) = \(x^5\) - 5x does not have any asymptotes.

E. Graphing Utility:

Using a graphing utility, we can plot the function f(x) = \(x^5\) - 5x and verify the results obtained above.

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The independent variable of a boxplot is categorical. This means that variable used to create boxplot consists of distinct categories rather than continuous numerical values. The boxplot allows to visualize and compare the distribution of a quantitative variable across different categories .

In statistical analysis, the independent variable is the variable that is manipulated or controlled in order to observe its effect on the dependent variable. In the case of a boxplot, the independent variable is typically a categorical variable. This means that it consists of distinct categories or groups that are not inherently ordered or continuous.

For example, in a study comparing the heights of individuals from different countries, the independent variable would be the country itself, which is a categorical variable. The heights of individuals would be the dependent variable, and the boxplot would show the distribution of heights for each country.

By using a boxplot, we can easily compare the distribution of a quantitative variable across different categories or groups and identify any differences or patterns that may exist. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values within each category, allowing for easy comparisons and identification of outliers.

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Answer: 3600

Step-by-step explanation:

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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Raina bought 46 yards of ribbon with her prepaid debit card.

To find out how many yards of ribbon Raina bought, we'll need to use the given information about the price of ribbon and the remaining balance on her prepaid debit card.
1. First, we need to determine how much money Raina spent on the ribbon. Since her card had $25 initially and there was $21.25 left on it after her purchase, we can subtract the remaining balance from the initial amount:
$25 - $21.25 = $3.75
Raina spent $3.75 on the ribbon.
2. Next, we'll use the price per yard to figure out how many yards she bought. We know that the ribbon cost 8 cents per yard, so we can divide the total cost by the price per yard to find out the number of yards purchased:
$3.75 ÷ $0.08 = 46.875 yards
Since Raina can't buy a fraction of a yard, we'll round this number down to the nearest whole yard:
46.875 yards ≈ 46 yards
Raina bought 46 yards of ribbon with her prepaid debit card.

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Answer:

(2,1)

Step-by-step explanation:

4(2) + 1 = 9

-(2) + 2(1) = 0

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

The two inequalities will be L>W-4 and (L x W) ≤ 32.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

It is given that:-

The length of the garden should be at least 4 ft shorter than the width

The distance around should be no more than 32 ft

The two inequalities will be as follows:-

a)The length of the garden should be at least 4 ft shorter than the width

L>W-4

b)The distance around should be no more than 32 ft

(L x W) ≤ 32.

Hence the two inequalities will be L>W-4 and (L x W) ≤ 32.

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Answer:

D. 6x(63-3y)

Step-by-step explanation:

You would be multiplying

Step-by-step explanation:

You want to be very carful with the parentheses for this question.

You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.

6 x (63 - 3y)

Answer: 4

Explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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Answer:

X-7

Step-by-step explanation:

Because I did algebra 1

Answer:

X-17

Step-by-step explanation:Its X-17 because it said 17 less than a number X. So its X-17 and variable comes first.

Answer:

1

Step-by-step explanation:

-f + 2 + 4f = 8 - 3

3f = 6 - 3

3f = 3

f = 1

Answer:

f=1

Step-by-step explanation:

-f+2+4f=8-3

First what you want to do i that you want to simplify as best as you can.

-f+2+4f=8-3 becomes 3f+2=8-3 because you add the 4f to the -1f.

Then, just subtract 2 from both sides to get 3f=8-5

Now, simplify even more

3f=8-5 becomes 3f=3

It should be easy now, but if you still need help, divide

f=1

The total amount that Penny has budgeted for her trip to Egypt is £5351.62.

The exchange rate is the rate at which one currency is exchanged for another currency.  The total amount that was budgeted by Penny is the sum of the different compoments that she compiled for the trip.

Cost of international phone card in Egyptian pound = 41.38 x 5.3841 =£222.79

Cost of passport in Egyptian pound = 65 x 5.3841  = £349.97

Total cost =  3,241.77 + £222.79 + 494.25 +  £349.97+ 398.26 £ + 644.48 = £5351.62

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There are 92 bit strings of length 8 that start with a 11 or end with 000.

We can solve this problem using the principle of inclusion-exclusion. Let A be the set of bit strings of length 8 that start with 11, and let B be the set of bit strings of length 8 that end with 000. We want to find the size of the union of A and B.

The number of bit strings of length 8 that start with 11 is 2^6, since there are 6 remaining bits that can be either 0 or 1. The number of bit strings of length 8 that end with 000 is also 2^5, since there are 5 remaining bits that can be either 0 or 1.

However, we have counted the bit strings that both start with 11 and end with 000 twice. To correct for this, we need to subtract the number of bit strings of length 8 that start with 11000, which is 2^2.

Therefore, the number of bit strings of length 8 that start with a 11 or end with 000 is:

|A ∪ B| = |A| + |B| - |A ∩ B|

= 2^6 + 2^5 - 2^2

= 64 + 32 - 4

= 92

So there are 92 bit strings of length 8 that start with a 11 or end with 000.

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There are 88 bit strings of length 8 that start with "11" or end with "000."

To determine the number of bit strings of length 8 that start with "11" or end with "000," we can use the principle of inclusion-exclusion.

Let's consider the two conditions separately:

Bit strings that start with "11":

In this case, the first two bits are fixed as "11." The remaining 6 bits can be either 0 or 1, giving us 2^6 = 64 possibilities.

Bit strings that end with "000":

Similarly, the last three bits are fixed as "000." The first 5 bits can be either 0 or 1, resulting in 2^5 = 32 possibilities.

However, we have counted some bit strings twice because they satisfy both conditions (start with "11" and end with "000"). These bit strings have a length of at least 5 (3 bits in the middle), and there are 2^3 = 8 possibilities for these middle bits.

By using the principle of inclusion-exclusion, we can compute the total number of bit strings satisfying either condition as follows:

Total = Bit strings starting with "11" + Bit strings ending with "000" - Bit strings satisfying both conditions

= 64 + 32 - 8

= 88

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Answer:  Radeon R9 390 graphics card with a Core i5-2300 2.8GHz or FX-6350 processor

Step-by-step explanation:

Answer:

Equiangular and Equilateral

Step-by-step explanation:

I tried

In order to determine the value of k in \(f(x) = kx² + 4x - 2\) that will intersect the line \(g(x) = 2x - 7\) at exactly one point, we can use the discriminant of the quadratic formula to obtain a single point of intersection between f(x) and g(x).For the line \(g(x) = 2x - 7,\)the value of x where it intersects f(x) is where g(x) = f(x), so we can write:

\(2x - 7 = kx² + 4x - 2\)

Simplifying and putting the equation in standard form:

\(kx² + 2x - 5 = 0\)

Now, using the quadratic formula, we can determine the values of x where the equation \(kx² + 2x - 5 = 0\) has real roots:

\(x = [-2 ± sqrt(4 + 20k)] / 2\).

Using the discriminant to obtain a single point of intersection between f(x) and g(x):

In order for the parabola \(f(x) = kx² + 4x - 2\) to intersect the line \(g(x) = 2x - 7\) at exactly one point, the quadratic formula must yield one root (i.e., the discriminant must be 0).Thus, we can set the discriminant equal to 0 and solve for k:

\(0 = 4 + 20k20k = -4k = -1/5\)

Therefore, the value of k in \(f(x) = kx² + 4x - 2\) that will intersect the line \(g(x) = 2x - 7\) at exactly one point is k = -1/5.

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a) The domain of the function f(x) = 1 - x is all real numbers since there are no restrictions on the input values.

b) Computing f'(x) using the definition of the derivative, we find f'(x) = -1.

c) The domain of f'(x) is also all real numbers since it is a constant function.

d) The slope of the tangent line to the graph of f at x = 0 is -1.

a) The domain of a function consists of all values for which the function is defined. In the case of f(x) = 1 - x, there are no restrictions or limitations on the values that x can take. Therefore, the domain of f is all real numbers.

b) To compute f'(x) using the definition of the derivative, we apply the limit definition:

f'(x) = lim(h→0) [f(x + h) - f(x)] / h.

Substituting f(x) = 1 - x into the definition and simplifying, we have:

f'(x) = lim(h→0) [(1 - (x + h)) - (1 - x)] / h

     = lim(h→0) [-h] / h

     = -1.

c) Since f'(x) is a constant function with a derivative of -1, its domain is also all real numbers.

d) The slope of the tangent line to the graph of f at x = 0 is given by f'(0), which is -1. This means that the tangent line has a slope of -1 at the point where x = 0 on the graph of f.

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Answer:

B

Step-by-step explanation:

It just is

Answer:

Its b

Step-by-step explanation:

I just took the test. Hope this helps <3

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Answer:

The answer is B

Step-by-step explanation:

B

The length, d, of the line segment is found incorrectly as Brian incorrectly applied the formula.

As its name implies, distance formula provides the distance (the length of the line segment). The length of the line segment that connects two places, for instance, is the distance between them.

The distance between coordinate P  \((x_{1},y_{1} )\)  and coordinate Q \((x_{2} ,y_{2} )\)  is calculated using the distance formula.

\(d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2}}\)

where, d is the distance between two points of line segment.

\(d=\sqrt{((-3)-x_{1} )^{2} +(y_{2}-0 )^{2}}\)

Therefore, it can be said that the values taken by the Brain are incorrect.

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Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

The formula for the exponential function passing through the points (-3, 1250) and (1, 2) is y = (2/25) * 25^x.

To find the formula for the exponential function passing through the points (-3, 1250) and (1, 2), follow these steps:

1. An exponential function has the form y = ab^x, where a and b are constants.
2. Use the given points to create two equations:

For point (-3, 1250):
1250 = ab^(-3) (Equation 1)

For points (1, 2):
2 = ab^(1) (Equation 2)

3. Solve for one of the constants (e.g., a) using one of the equations (Equation 2):

a = 2/b

4. Substitute this value of a into the other equation (Equation 1):

1250 = (2/b) * b^(-3)

5. Solve for b:

1250 = 2b^2
b^2 = 625
b = 25 (since b must be positive in an exponential function)

6. Substitute the value of b back into the equation for a:

a = 2/25

7. Plug a and b into the general exponential function formula:

y = (2/25) * 25^x

The formula for the exponential function passing through the points (-3, 1250) and (1, 2) is y = (2/25) * 25^x.

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Answer: -12 I believe I’m sorry if I’m wrong I’m not smart

Step-by-step explanation:

Simplifying

2(3x + -5) = 7x + 2

Reorder the terms:

2(-5 + 3x) = 7x + 2

(-5 * 2 + 3x * 2) = 7x + 2

(-10 + 6x) = 7x + 2

Reorder the terms:

-10 + 6x = 2 + 7x

Solving

-10 + 6x = 2 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-10 + 6x + -7x = 2 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-10 + -1x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0

-10 + -1x = 2 + 0

-10 + -1x = 2

Add '10' to each side of the equation.

-10 + 10 + -1x = 2 + 10

Combine like terms: -10 + 10 = 0

0 + -1x = 2 + 10

-1x = 2 + 10

Combine like terms: 2 + 10 = 12

-1x = 12

Divide each side by '-1'.

x = -12

Simplifying

x = -12

Answer:

13x + 10

Step-by-step explanation:

First distribute, (2)(3x) + (2)(5) + 7x

This gives you 6x + 10 + 7x

Then combine then like terms 6x + 10 + 7x

To get (6x + 7x) + (10)

And a final answer of 13x + 10 :)

Answer:

1. -10

2. -5/3

3. -10

4. 5/3

5. 3

6. 4/10

7. 2/5

8. 10/7

9. 1/2

10. -9/2

Step-by-step explanation:

slope equals y2 - y1 over x2 -x1

Answer:

collinear

Step-by-step explanation:

Answer:

Collinear

Step-by-step explanation: