Divide.

68, 302 divided by 1,000

Enter the exact quotient.

Answer:

Short leg = 24inches

Long leg = 32inches

Hypotenuse = 40inches

Step-by-step explanation:

Given:

Pythagorean Theorem:

a²+b²=c² → (x-8)²+ x² = (x+8)²

Solving for both sides:

x² - 16x+ 64 + x² = x²+ 16x + 64

More Painful Solving:

x² - 32x = 0

x(x-32) = 0

x=0 or 32

Can't use the 0 so we trash it!

x=32

add 8 to get the hypotenuse and subtract 8 to get the short leg

The numbers 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer

The numbers are given as:

0.5, −13, 0.62, 3.14, 19%

Numbers that can be represented as a fraction of two integers are rational numbers

The given numbers can be represented as a fraction of two integers

i.e.

0.5 = 5/10

0.62 = 62/100

3.14 = 314/100

19% = 19/100

This means that 0.5, 0.62, 3.14, 19% are rational numbers, while -13 is an integer (because it has no decimal point and it is negative)

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Answer:

3/5

Step-by-step explanation:

There are 25773 foxes in the region in the year 2008

The given parameters are:

Let the number of years after 2000 be x.

So, the function is

f(x) = a * (1 + r)^x

This gives

f(x) = 15000 * (1 + 0.07)^x

In 2008, we have:

x = 8

So, the equation becomes

f(8) = 15000 * (1 + 0.07)^8

Evaluate

f(8) = 25773

Hence, there are 25773 foxes in the region in the year 2008

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The decimal representation of 1/70000000 is 0.0000000142857142857....

In math, what is a fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

To find the digit that occurs in the 2023rd place after the decimal point, we can use long division to divide 1 by 70000000 and track the remainders.

Since the decimal representation of 1/70000000 is repeating every 6 digits, we can find the digit at the 2023rd place by taking the remainder when 2023 is divided by 6.

2023 % 6 = 1

So the digit in the 2023 place is the first digit after the repeating decimal, which is 4.

Therefore the digit in the 2023rd place after the decimal point is 4.

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Answer:

Step-by-step explanation:

Hello,

f(x)=g(x)

<=> 7x-2=3x+6

<=> 7x-3x=6+2

<=> 4x=8

<=> x = 2

thanks

The equation of the function g(x) is g(x) = f(x+3) + 4 and g(x) = log₂(x+3) + 4

To shift the function 3 units left, we replace x with x+3. To shift it 4 units up, we add 4 to the function.

Therefore, the expression for g(x) in terms of f(x) is:

g(x) = f(x+3) + 4

Substituting f(x) = log₂(x), we get:

g(x) = log₂(x+3) + 4

The equation of the function g(x) is g(x) = log₂(x+3) + 4.

The domain of g(x) is all x such that x+3 > 0, since the argument of the logarithm must be positive.  This gives x > -3.

The range of g(x) is all real numbers, since the logarithm takes on all real values.

The vertical asymptote is x = -3, since this is where the function becomes undefined (the argument of the logarithm becomes 0).

The horizontal asymptote is y = 4, since as x approaches infinity or negative infinity, the function approaches 4.

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If the 3 friends work on 2 yards, then together they will earn:

If the 3 friends work on 3 yards, then together they will earn:

If the 3 friends work on 4 yards, then together they will earn:

If the 3 friends work on 5 yards, then together they will earn:

Answer:

Therefore, if the 3 friends work on 5 yards, then together they will earn $180.

Answer:

???

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

3

9

(100−64)

=12

Answer:

b=64 96/149

Step-by-step explanation:

Answer:

$15943.23

Step-by-step explanation:

each day the total of the day before is multiplied by 3 so if you do that for 14 days you will get the answer

Answer:

2,391,4.84 dollars

Step-by-step explanation:

1,    3  ,    9...

on the 1st day, 3^0

on the 2nd day, 3^1

on the 3rd day, 3²

:

one the 14th day, 3^(14-1)

=> 3^13

=> 1,594,323

"Total about of money" => have to add up the money from the 1st day to the 14th day:

1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187 + 6561 + 19683 + 59049 + 177147 + 531441 + 1594323 = 2,391,484

The pounds of expensive jelly beans that Mike should use, given the amount he wants to sell the mixture, is 30 pounds.

The total weight of the mixture is x + 10 pounds because Mike adding 10 pounds of the cheaper jelly beans while the cost of the expensive jelly beans would be:

= 5 x number of pounds

= 5x

The total cost of the cheaper jelly beans is :

= 10 pounds x 2

= $ 20

The total revenue from the mixture is therefore:

= 4.25x + 42.5

The total cost is :

= 5x + 20

Equating these would find the pounds of expensive jelly beans needed :

5x + 20 = 4.25x + 42.5

0.75x = 22.5

x = 30

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Answer:

the answer is C

Step-by-step explanation:

Answer:

3.777x10^5

Step-by-step explanation:

2.17 x 10^4 = .217 x 10^5

3.56 x 10^5 + .217 x 10^5 = 3.777x10^5

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line \( = - \frac{1}{7} \)

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

\( = - \frac{1}{7} \)

Hello! :)

Parallel lines have the same slope.

If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.

Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:

\(7\\-7\\-\frac{1}{7}\)

Hope it helps. Feel free to ask me if you have any questions.

~A determined teen

\(MagicalNature\)

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

your pics a little blurry but if i am reading it right

the first one

f(x)=log x+5

Answer:

42 units

Step-by-step explanation:

Area of a trapezoid is always 1/2(b1+b2)*h

so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42

Answer:

Mein Name ist, mein Name ist, ich bin der beste Rapper, den es gibt

Step-by-step explanation:

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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The length of one side of the pentagon after translation is 9 units

Step-by-step explanation:

To be clear, "A translation is an isometry that translates all points of a figure the same distance in the same direction." The dimensions of any geometric figure will never change as a result of translation. The figure's measurements won't change; it will simply be moved from one location to another.

This means that even after being translated 2 units to the left, a regular pentagon with sides of 9 units will still have a side length of 9 units.

The length of one side of the pentagon after translation is 9 units(option B)

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The probability that she will make a basket on or before her last attempt within her average waiting time are 1/8 and 2/8

Probability of an event is a measurement of how likely an event can occur as an outcome of a random experiment;

Probability ranges from 0 to 1, both inclusive. Events whose probability is closer to 0 are rarer to occur than those whose probabilities are closer to 1 (relatively);

When converted to percentage, we just need to multiply its decimal representation by 100. In percentage form, the probability ranges from 0% to 100%;

Given:

Hannah makes 5 out of 8 attempted free-throws.

Now,

The average waiting time of hannah to make her first basket is 5/8

The probability of hannah making basket at her last attempt is 1/8

The probability of hannah making basket before her last attempt is 2/8

Hence, the probabilty will be 1/8 and 2/8;

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Answer:

Step-by-step explanation:

First, we add them all up.

98+70+52+87+46+120+72+41 = 586

Now, we divide 586 by the number of things there are. 586 / 8 = 73.25.

The mean of the swear words condition is 73.25.