What is the estimated age of Earth?

Answer: 37km

Step-by-step explanation:

Answer: 450

Step-by-step explanation: 95+115+240=450

Intersection of B'∩C = {k, y}

To find the intersection of B' and C, we need to first find the complement of set B (B') and then find the intersection between B' and C.

1. Complement of set B (B'):

The complement of set B (B') consists of all elements in the universal set U that are not in set B. From the given information, set B is defined as {k, s, y}', which means it contains all elements in U except for k, s, and y. Therefore, the complement of set B is {f, m, x, z}.

2. Intersection between B' and C:

Now, we need to find the intersection between B' (complement of B) and set C. From the given information, set C is defined as {s, z}. To find the intersection, we need to identify the common elements between B' and C.

The elements present in both B' and C are k and y. Therefore, the intersection of B' and C is {k, y}.

So, the answer to (b) is B'∩C = {k, y}.

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Answer:

8.75 or 8 3/4

Step-by-step explanation:

To do this question, many do it differently. But for now, we will convert the fractions into decimals.

1/4 = 0.25

11/2= 5.5

0.25 + 3 + 5.5

3.25 + 5.5 =

8.75

The answer is 8.75 or 8 3/4

Answer:

Decimal form :

8.75

Step-by-step explanation:

Hope it is helpful....

Population of Planet Eenie is  1.4 × \(10^{3}\) times greater than the population of Planet Meenie.

Two planets named Eenie and Meenie.

Population of  Planet Eenie = 72,980,001

Population of  Planet Meenie =  54,908

We need to find how many times greater is the population of Planet

Eenie than the population of Planet Meenie. So, we need to follow the steps written below:

( Population of  Planet Eenie / Population of  Planet Meenie )

= ( 72,980,001 / 54,908 )

= 1329.1323

= 1.33 × \(10^{3}\)

This calculated value is near option 2 i.e., 1.4 × \(10^{3}\). So,  1.4 × \(10^{3}\) is the correct option.

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Answer : You have 23 candy canes

Step - by - step explanation :

23 / 2 = 11 R 1

23 / 3 = 7 R 2

23 / 4 = 5 R 3

Using the parallelogram law to find m, the value of m is 50°.

The parallelogram law states that the sum of the squares for a parallelogram's four sides is equal to the sum of the squares for its two diagonals.

The parallelogram must have equal opposed sides in Euclidean geometry.

If ABCD is a parallelogram, then AB = DC and AD = BC, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = (AC)² + (BD)²

If the parallelogram is a rectangle, the parallelogram law is stated as:

2(AB)² + 2 (BC)² = 2(AC)²

The value of the unknown angles in the parallelogram are as follows:

CED = 180 - (60 + 33 + 37)

CED = 50°

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Please see the attached photos. Hope this helps :). A simpler approach is to think of the probability of the opposing happening, or not getting a number greater than 7 from either draw. I personally like this style of visualization though :)

Answer:

slope=0 (horizontal line)

Step-by-step explanation:

A way to remember this is if you went skiing on a horizontal line you would have 0 fun.

Answer:

attached below is the solution

Step-by-step explanation:

|x| < 7

= -7 < x < 7

| y | < 3

= -3< y < 3

attached below is the shaded region in the xy-plane

Answer:

\(C. x = \frac{81}{4} = 20.25\)

Step-by-step explanation:

\(\frac{1}{4}\left(4x+15\right)=24\)

\(\mathrm{Multiply\:both\:sides\:by\:}4\)

\(4\cdot \frac{1}{4}\left(4x+15\right)=24\cdot \:4\)

\(\mathrm{Simplify}\)

\(4x+15=96\)

\(\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\)

\(4x+15-15=96-15\)

\(\mathrm{Simplify}\)

\(4x=81\)

\(\mathrm{Divide\:both\:sides\:by\:}4\)

\(\frac{4x}{4}=\frac{81}{4}\)

\(Simplify\)

\(x=\frac{81}{4}\)

Answer:

C

Step-by-step explanation:

Trust Bro

Answer:

  84°

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary:

  ∠A = 180° -96°

  ∠A = 84°

The probability distribution of Y = X mod (4) is: 3/10, 3/10, 2/10, 2/10 and the probability distribution of Y = 6 mod (X + 1) is: 1/10, 1/10, 2/10, 1/10, 2/10, 2/10 , 1/10.

The probability distribution of Y = X mod (4) can be found as follows:

Y = 0, when X = 0, 4, 8

Y = 1, when X = 1, 5, 9

Y = 2, when X = 2, 6

Y = 3, when X = 3, 7

So, the probability distribution of Y = X mod (4) is:

Y = 0, P(Y = 0) = 3/10

Y = 1, P(Y = 1) = 3/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 2/10

The probability distribution of Y = 6 mod (X + 1) can be found as follows:

Y = 0, when X = 5

Y = 1, when X = 0

Y = 2, when X = 1, 6

Y = 3, when X = 2

Y = 4, when X = 3, 7

Y = 5, when X = 4, 8

Y = 6, when X = 9

So, the probability distribution of Y = 6 mod (X + 1) is:

Y = 0, P(Y = 0) = 1/10

Y = 1, P(Y = 1) = 1/10

Y = 2, P(Y = 2) = 2/10

Y = 3, P(Y = 3) = 1/10

Y = 4, P(Y = 4) = 2/10

Y = 5, P(Y = 5) = 2/10

Y = 6, P(Y = 6) = 1/10

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Answer:

2.070552361 miles

Step-by-step explanation:

2 / cos 15 = 2.070552361

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

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Answer:

1/5

Step-by-step explanation:

12/60=1/5

A reduction or drop is usually represented by a negative sign alongside the quantity of the drop.

In this case, the quantity of the drop is 21.

Hence, the integer used to represent the situation is:

9514 1404 393

Answer:

  $7,358

Step-by-step explanation:

Assuming the interest is compounded annually, the amortization formula is useful here.

  A = Pr/(1 -(1+r)^-t)

A is the annual scholarship, P is the principal invested at rate r for t years.

  A = $100,000(0.04)/(1 -1.04^-20) = $7,358.18

The university could give $7,358 in scholarships each year.

Answer:

The test statistic value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given mean of the population (μ) =  $183,000

Given mean of the sample (x⁻)  = $198,000

Given standard deviation of the sample (S) =  $65,000.

Mean of the sample size 'n' = 51

level of significance  α = 0.05

Step(ii):-

Null hypothesis : H₀ : There is no significance difference between the means

Alternative Hypothesis :H₁: There is  significance difference between the means

Test statistic

             \(t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

           \(t = \frac{198,000- 183,000 }{\frac{ 65,000}{\sqrt{51} } }\)

          t =  1.64

Step(iii)

Degrees of freedom  ν = n-1 = 51-1 =50

t₀.₀₅ =  2.0086

The calculated value  t =  1.64 < 2.0086 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significance difference between the means

The mean portfolio value for all senior citizen shareholders in this region might not be the same as the mean value reported for their counterparts across the nation

Okay, here we have this:

Considering the provided information, that angle 2 and the angle that measure 150° are consecutive interior angles, and that the consecutive interior angles theorem says that the pairs of consecutive interior angles are supplementary angles. We obtain the following:

180°=m∠2+150°

m∠2=180°-150°

m∠2=30°

Answer:

8

Step-by-step explanation:

If DEF has 2 bottom pieces that are both 6 which is equal to 12 then you just add 4+4 because both of the pieces on ABC are 4 and so 8 is your answer.

The inverse function of the function f(x) will be f⁻¹(x) = 36x² + 2. Then the correct option is A.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = √(x - 2) / 6

Replace x with y and f(x) with x. Then the inverse function is given as,

x = √(y - 2) / 6

6x = √(y - 2)

36x² = y - 2

y = 36x² + 2

f⁻¹(x) = 36x² + 2

The inverse function of the function f(x) will be f⁻¹(x) = 36x² + 2. Then the correct option is A.

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The complete question is given below.

Answer:

= 5 parts left

Step-by-step explanation:

12-7=5

Answer:

Step-by-step explanation: 12-7=5

Answer:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.14

×

10

1

Step-by-step explanation:

The only graph that represents a function is: Graph D

A function is defined as a relationship or expression that involves one or more variables. It typically has a set of input and outputs.  Each input has only one output. The function is the description of how the inputs relate to the output.

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

From the graphs, we can see that:

Graph A has 2 outputs at x = -2

Graph B has 2 outputs at x = 0

Graph C has two outputs at x = -1

Graph D has a unique output for every input and as such it is a function

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Answer:

Step-by-step explanation: All you have to do would just separate the bread into groups of 2, and then count how many groups you have, and that would give you the answer.