Domain
1
2
3
Range
5
7
9
Does the mapping represent a function?

Answer:

2 solutions

-1 and 3 is the real solutions

The supplementary angles are:

<1 and <3

<1 and <4

<2 and <3

<2 and <4

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. The sum of complimentary angles is 90 degrees.

Given:

As, the supplement angles forms 180 angles.

So, from the angles that are supplementary are

<1 and <3

<1 and <4

<2 and <3

<2 and <4

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The divers in order from least to greatest based on the number of liters left in their oxygen tank will be Alexis, Dante, and Sofia. The correct answer is B.

In mathematics, placing numbers in ascending order refers to doing so from least to largest from left to right. When numbers are arranged in ascending order, they are done so from least to largest.

Given that three divers went scuba diving in the ocean for a couple of hours. The table for the oxygen requirement is given below:-

Diver                         Oxygen (liters)

Alexis                    Seventy nine over eighth

Dante                                9.3

Sofia                      Nine and eight over fifteenth

The Numbers are:-

Alexis  ( Seventy nine over eighth)  = 79 / 9 = 8.78

Dante                                                 = 9.3

Sofia   ( Nine and eight over fifteenth ) = 9(9/15} = 9.6

The arrangement from least to highest will be Alexis, Dante, and Sofia.

The correct options are given below:-

Sofia, Dante, Alexis

Alexis, Dante, and Sofia.

Dante, Alexis, Sofia

Dante, Sofia, Alexis

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Answer:

Dante, Alexis and Sofia

Step-by-step explanation:

please tell me if I'm wrong but I'm positive its Dante, Alexis and Sofia

Answer:

(-2,4)

Step-by-step explanation:

D (5,4) ---> D(5-7,4) --> D(-2,4)

The probability of getting: A. a five-card hand that has three Jacks and two Queens is 0.000009, or 0.000923% and B. a "four of a kind" is 0.00024, or 0.02401%.

A. The probability of getting a five-card hand that has three Jacks and two Queens can be calculated by using the formula:
P(3 Jacks and 2 Queens) = C(4,3) x C(4,2) / C(52,5)
Where C(n,k) is the combination of n items taken k at a time.

= (4 x 6) / 2598960
= 24 / 2598960
= 0.00000923

Therefore, the probability of getting a five-card hand that has three Jacks and two Queens is 0.000009, or 0.000923% when rounded to six decimal places.

B. The probability of getting a "four of a kind" can be calculated by using the formula:
P(four of a kind) = (C(13,1) x C(4,4) x C(12,1) x C(4,1)) / C(52,5)

= (13 x 1 x 12 x 4) / 2598960

= 624 / 2598960
= 0.00024010

Therefore, the probability of getting a "four of a kind" is 0.00024, or 0.02401% when rounded to five decimal places.

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1. The length of x and y are 5 and 8.66 respectively

2. The area of the equilateral triangle is 9√3 cm²

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

sin30 = x/10

0.5 = x/10

x = 0.5×10

x = 5

sin60 = y/10

0.866 = y/10

y = 0.866 × 10

y = 8.66

2. The height of the triangle = √6²-3²

= √36-9

= √27

= 3√3

area = 1/2bh

= 1/2 × 6 × 3√3

= 9√3 cm²

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Answer:

ans. option 1.

it is the correct answer

We cannot calculate the value of the angle in the pentagon with the given information

The given information is not sufficient to determine the value of the angle in the pentagon.

A pentagon has five sides and five angles, but the given information only provides the measure of one angle and the length of one side. To determine the measure of the remaining angles, we would need additional information about the pentagon, such as the length of another side or the measure of another angle.

Therefore, we cannot calculate the value of the angle in the pentagon with the given information.

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The correct function for h(x), which represents the transformation of f(x) by shifting it down 4 units and right 3 units, is h(x) = |x - 3| + 4. To determine the correct function for h(x) that represents the desired transformation of f(x).

We need to understand the effects of shifting down and right on the absolute value function. Shifting a function down by a certain number moves all the points on the graph vertically downward by that amount. In this case, f(x) is shifted down by 4 units. To achieve this, we add 4 to the original function, resulting in |x| + 4.

Shifting a function right by a certain number moves all the points on the graph horizontally to the right by that amount. In this case, f(x) is shifted right by 3 units. To achieve this, we replace x in the function with (x - 3), resulting in |x - 3|.Combining the two transformations, we have h(x) = |x - 3| + 4, which correctly represents the function obtained by shifting f(x) down 4 units and right 3 units.

In h(x) = |x - 3| + 4, the term |x - 3| represents the absolute value of the shifted variable x - 3, and adding 4 moves the entire graph vertically upward by 4 units. Therefore, h(x) = |x - 3| + 4 is the correct function for h(x), representing the desired transformation of f(x) by shifting it down 4 units and the right 3 units.

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Answer:

$ 7.29

Step-by-step explanation:

bill = $40.50

tip = 18%

tip amount = tip% of bill

=18/100 * $40.50

=729/100

=$ 7.29

Answer:

7.29 DOLLARS IS THE ANSWER

Answer:

804

Step-by-step explanation:

Answer:

804?

Step-by-step explanation:

maybeeeeeeeeee?

Answer:

Home Hardware since 1 Lbs. is around $1.33 while Ace Hardware sells 1 Lbs. for $1.60

Step-by-step explanation:

A: 7.98/5 ≈ 1.60

H: 9.34/7 ≈ 1.33

The interpretation is that 8% of the variation in the dependent variable can be explained by the variation in the independent variable. (B)

The coefficient of determination, r^2, is a measure of how much of the variation in the dependent variable can be explained by the variation in the independent variable.

It is calculated by squaring the correlation coefficient, r, between the two variables. In this case, r^2 is equal to 0.08, which means that 8% of the variation in the dependent variable can be explained by the variation in the independent variable.

This means that the independent variable has a relatively small effect on the dependent variable, and there are likely other factors that contribute to the variation in the dependent variable.

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Answer:

The reflection is in the y-axis cause the y point went from -7 to 7 and the x point stayed the same.

The simplification of the following equations will be:\(4\sqrt{3}\ \ 6\sqrt{2}\ \ 20\sqrt{3}\ \ 5\sqrt{5}\ \ 50\sqrt{3}\ \ 24\sqrt{2}\ \ 20\sqrt{7}\ \ 6\sqrt{15}\ \ 40\ \ 21\sqrt{2}\ \ 10\sqrt{11907}\).

Prime factorization is the process of transforming a number into a prime product. A prime number simply has the number itself and the number itself as its two components. The prime numbers, for instance, are 2, 3, 5, 7, 11, 13, and 19. Any integer can be expressed as the sum of prime integers thanks to prime factorization.

\($\sqrt{48} = \sqrt{16 \cdot 3} = \sqrt{16} \cdot \sqrt{3} = 4 \sqrt{3}$\)

\($\sqrt{72} = \sqrt{36 \cdot 2} = \sqrt{36} \cdot \sqrt{2} = 6 \sqrt{2}$\)

\($\sqrt{1200} = \sqrt{400 \cdot 3} = \sqrt{400} \cdot \sqrt{3} = 20 \sqrt{3}$\)

\($\sqrt{125} = \sqrt{25 \cdot 5} = \sqrt{25} \cdot \sqrt{5} = 5 \sqrt{5}$\)

\($\sqrt{98}$\) 98 already has the simplest root form, since it does not have a perfect square factor.

\($\sqrt{7500} = \sqrt{25 \cdot 300} = \sqrt{25} \cdot \sqrt{300} = 5 \sqrt{300} = 5 \sqrt{100 \cdot 3} = 5 \cdot 10 \sqrt{3} = 50 \sqrt{3}$\)

\($6 \sqrt{32} = 6 \sqrt{16 \cdot 2} = 6 \sqrt{16} \cdot \sqrt{2} = 6 \cdot 4 \sqrt{2} = 24 \sqrt{2}$\)

\($10 \sqrt{28} = 10 \sqrt{4 \cdot 7} = 10 \sqrt{4} \cdot \sqrt{7} = 20 \sqrt{7}$\)

\($3 \sqrt{60} = 3 \sqrt{4 \cdot 15} = 3 \sqrt{4} \cdot \sqrt{15} = 6 \sqrt{15}$\)

\($5 \sqrt{64} = 5 \cdot 8 = 40$\)

\($7 \sqrt{18} = 7 \sqrt{9 \cdot 2} = 7 \sqrt{9} \cdot \sqrt{2} = 21 \sqrt{2}$\)

\($\sqrt{1190700} = \sqrt{100 \cdot 11907} = \sqrt{100} \cdot \sqrt{11907} = 10 \sqrt{11907}$\)

So the above are the prime factors of the given equation. Among them, the square root is not exact. 

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Answer:

l got 11.056

Step-by-step explanation:

lf 712months=64.4 pounds

wat bout 1month u cross multiply.

\( \1 \times 64.4 \div 712 = 11.055900621118\)

then u round off the number

lf you find this helpful plz follow me

n mark my answer as the branliest

have a nice day/night

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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The absolute value inequality for the graph is given as |x| < 4

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

The absolute value is given by:

|x - average| = distance to midpoint

From the graph:

x > -4 and x < 4

The midpoint is 0, hence Distance between -4 or 4 to midpoint (0) is 4

Average = (-4 + 4)/2 = 0

Hence:

|x - 0| = 4

|x| < 4

The absolute value inequality for the graph is given as |x| < 4

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The composition (g o f) n: [0, 2] → R converges uniformly.

We have,

To show that (g o f) n : [0, 2] → R converges uniformly, we need to demonstrate that for any given ε > 0, there exists an N such that for all x ∈ [0, 2] and n ≥ N, the following inequality holds:

|g(fn(x)) - g(f(x))| < ε

Since fn uniformly converges to ƒ, we know that for any ε > 0, there exists an N such that for all x ∈ [0, 2] and n ≥ N, we have:

|fn(x) - f(x)| < ε

Now, let's consider the function g, which is continuous on the interval

[0, 1].

This implies that for any ε > 0, there exists a δ > 0 such that for all y, z ∈ [0, 1] satisfying |y - z| < δ, we have,

|g(y) - g(z)| < ε

Since fn(x) and f(x) both lie in the interval [0, 1] for x ∈ [0, 2], we can choose δ such that if |fn(x) - f(x)| < δ, then it follows that

|g(fn(x)) - g(f(x))| < ε.

Therefore, we have established that for any ε > 0, there exists an N such that for all x ∈ [0, 2] and n ≥ N, we have:

|g(fn(x)) - g(f(x))| < ε

This confirms that (g o f)n: [0, 2] → R converges uniformly.

Thus,

The composition (g o f) n: [0, 2] → R converges uniformly.

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The expectation of X is 1 and the variance of X is (N−1)/N.

To find the expectation and variance of the random variable X, which represents the number of letters put into the corresponding envelopes, we can use the properties of the indicator random variables.

Let's define indicator random variables Xi

for each letter i, where =1X i

​ =1 if letter i is put into the corresponding envelope and =0X i

​=0 otherwise.

The total number of letters that are put into the corresponding envelopes can be calculated as the sum of the indicator random variables, i.e.,

=

1

+

2

+

…

+

X=X

1

​

+X

2

​

+…+X

N

​

.

The expectation of X can be calculated using the linearity of expectation:

(

)

=

(

1

+

2

+

…

+

)

=

(

1

)

+

(

2

)

+

…

+

(

)

E(X)=E(X

1

​

+X

2

​

+…+X

N

​

)=E(X

1

​

)+E(X

2

​

)+…+E(X

N

​

)

Since each letter has a 1/N probability of being put into the corresponding envelope, we have:

�

(

�

�

)

=

1

⋅

�

(

�

�

=

1

)

+

0

⋅

�

(

�

�

=

0

)

=

1

�

⋅

1

+

�

−

1

�

⋅

0

=

1

�

E(X

i

​

)=1⋅P(X

i

​

=1)+0⋅P(X

i

​

=0)=

N

1

​

⋅1+

N

N−1

​

⋅0=

N

1

​

Therefore, the expectation of X is:

�

(

�

)

=

�

(

�

1

)

+

�

(

�

2

)

+

…

+

�

(

�

�

)

=

1

�

+

1

�

+

…

+

1

�

=

�

⋅

1

�

=

1

E(X)=E(X

1

​

)+E(X

2

​

)+…+E(X

N

​

)=

N

1

​

+

N

1

​

+…+

N

1

​

=N⋅

N

1

​

=1

The variance of X can be calculated using the variance formula:

�

�

�

(

�

)

=

�

�

�

(

�

1

+

�

2

+

…

+

�

�

)

=

�

�

�

(

�

1

)

+

�

�

�

(

�

2

)

+

…

+

�

�

�

(

�

�

)

Var(X)=Var(X

1

​

+X

2

​

+…+X

N

​

)=Var(X

1

​

)+Var(X

2

​

)+…+Var(X

N

​

)

Since the indicator random variables

�

�

X

i

​

 are independent, we have:

�

�

�

(

�

�

)

=

�

(

�

�

2

)

−

(

�

(

�

�

)

)

2

Var(X

i

​

)=E(X

i

2

​

)−(E(X

i

​

))

2

The probability

�

(

�

�

=

1

)

P(X

i

​

=1) is

1

/

�

1/N as mentioned before. The probability

�

(

�

�

=

0

)

P(X

i

​

=0) is

(

�

−

1

)

/

�

(N−1)/N. Therefore, we have:

�

(

�

�

2

)

=

(

1

2

)

⋅

�

(

�

�

=

1

)

+

(

0

2

)

⋅

�

(

�

�

=

0

)

=

1

�

E(X

i

2

​

)=(1

2

)⋅P(X

i

​

=1)+(0

2

)⋅P(X

i

​

=0)=

N

1

​

�

(

�

�

)

2

=

(

1

�

)

2

=

1

�

2

E(X

i

​

)

2

=(

N

1

​

)

2

=

N

2

1

​

Thus, the variance of

�

�

X

i

​

 is:

�

�

�

(

�

�

)

=

�

(

�

�

2

)

−

(

�

(

�

�

)

)

2

=

1

�

−

1

�

2

=

�

−

1

�

2

Var(X

i

​

)=E(X

i

2

​

)−(E(X

i

​

))

2

=

N

1

​

−

N

2

1

​

=

N

2

N−1

​

Therefore, the variance of X is:

�

�

�

(

�

)

=

�

�

�

(

�

1

)

+

�

�

�

(

�

2

)

+

…

+

�

�

�

(

�

�

)

=

�

−

1

�

2

+

�

−

1

�

2

+

…

+

�

−

1

�

2

=

�

⋅

�

−

1

�

2

=

�

−

1

�

Var(X)=Var(X

1

​

)+Var(X

2

​

)+…+Var(X

N

​

)=

N

2

N−1

​

+

N

2

N−1

​

+…+

N

2

N−1

​

=N⋅

N

2

N−1

​

=

N

N−1

​

In summary, the expectation of X is 1 and the variance of X is

(

�

−

1

)

/

�

(N−1)/N.

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I think its 28730.9 cm3

Answer:

19.455

Step-by-step explanation:

Answer:

The answer is B

to this question

Answer:

The answer is C.

Step-by-step explanation:

The differential equation is given as dp/dt = 2√(Pt), with the initial condition P(1) = 3, the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

Step 1: Separate the variables. Move all terms involving P to the left side and all terms involving t to the right side:
(dp/√P) = 2 dt
Step 2: Integrate both sides with respect to their respective variables:
∫(dp/√P) = ∫(2 dt)
Step 3: Evaluate the integrals:
2√P = 2t + C, where C is the constant of integration.
Step 4: Use the initial condition P(1) = 3 to find the value of C: 2√3 = 2(1) + C
C = 2√3 - 2
Step 5: Substitute the value of C back into the equation and solve for P(t): 2√P = 2t + 2√3 - 2
Step 6: Divide both sides by 2: √P = t + √3 - 1
Step 7: Square both sides to get P(t) alone:
P(t) = (t + √3 - 1)^2
So the solution to the differential equation with the given initial condition is P(t) = (t + √3 - 1)^2.

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Answer:

The answer is option D, 50. :)

Answer:c)38 units

Step-by-step explanation:

edge

Answer

whats the question

Step-by-step explanation:

Answer:

-5 or 5

Step-by-step explanation:

the absolute value of -5 is 5. The absolute value of 5 is also 5.

Hope this helps :)

Volume of a Cylinder = pi x r^2 x height

diameter = 10, so radius = 5

height = 6

Volume = pi x 5^2 x 6

Volume = pi x 25 x 6

Volume = 150pi

Answer: 150pi cubic feet

Hope this helps!

Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169