Sarah started collecting coins last year.

She already collected 58, when she received another 21 from her parents.

She is expecting to get 12 more for her birthday next week.

How many coins is she going to have at the end of next week if her expectation is right?

Answer:

Relativistic energy is conserved as long as we define it to include the possibility of mass changing to energy. Total Energy is defined as: E = γmc2, where γ=1√1−v2c2 γ = 1 1 − v 2 c 2 . Rest energy is E0 = mc2, meaning that mass is a form of energy. If energy is stored in an object, its mass increases.

Step-by-step explanation:

Answer:

Energy can either be potential energy or kinetic energy, but mechanical energy

Mechanical energy = Potential energy + Kinetic energy

[tex]potential \: energy = mgh \\ kinetic \: energy = \frac{1}{2}m {v}^{2} \\ mechanical \: energy = mgh + \frac{1}{2} m {v}^{2} \\ = \frac{1}{2} m(2gh + m {v}^{2} )[/tex]

Then for Eistein mass energy relation

E = mc²

c is speed of light

Answer:

I think d sorry if I get it wrong

Answer:

x < 88

Step-by-step explanation:

ΔCED and ΔCEF

DE = EF      CE = CE      CF < CD

∠FEC < ∠DEC

x - 13 < 75

x < 88

Answer:

x=4

Step-by-step explanation:

21x+6=90(alternate angles)

21x=90-6

x=94/21

Therefore, x=4

Answer:

x=4

Step-by-step explanation:

21x+6=90

-6. -6

21x=84

/21. /21

x=4

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

Answer:

661 is for the first 308 for second 849 for last

Step-by-step explanation:

Answer:

y÷8

Step-by-step explanation:

The quotient is the result of division between two numbers.

SOOO its y÷8 because a quotient is a division problem and y and 8 are the variables in the equation!

Answer:

1/52

Step-by-step explanation:

The probability that the card is a 4 in a pack of cards is 1 /13.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A card is selected from a pack of 52 cards. A favorable outcome is getting 4 since there are four 4 in a pack of cards. Thus,

When a card is selected from a pack of 52 cards the number of possible outcomes is 52 i.e., the sample space contains 52 elements

Therefore there are 52 points in the sample space.

Let E be the event in which the card drawn is an ace.

Since there are 4 aces in a pack of 52 cards n(E)=4

∴P(E)=  [tex]\frac{Totalnumberofpossibleoutcomes}{Numberofoutcomesfavourableto}[/tex]

E = [tex]\frac{n(S)}{n(E)}[/tex]

E = 4/52 = 1/13

​Therefore, In a deck of cards, there is a 1 in 13 chance that the card is a 4.

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​

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = [tex]\frac{1}{2}x[/tex]

We need to find the length and width.

The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Answer:

You done it right

Step-by-step explanation:

Answer:

4

0

−

1

0

0

5

+

2

5

Step-by-step explanation:

Brainliest?

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

You can eliminate parentheses and subtract 50.

  5(2x +10) = 50

  10x +50 = 50 . . . . use the distributive property

  10x = 0 . . . . . . . . . subtract 50 from both sides

  x = 0 . . . . . . . . . . . divide by 10

__

Check

  5(2·0 +10) = 50

  5(10) = 50 . . . . true

Step-by-step explanation:

Arrow JK=360-54-130-110=66

arrow MK=66+54=120

Angle L=120/2=60

3a=60

a=30

Answer:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier

Step-by-step explanation:

• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closin[tex]\sqrt{x} 67[/tex]g of the frontier

Answer:

60 %

Step-by-step explanation:

multiply .90 * 150

Answer:

60%

Step-by-step explanation:

hope this helps <3

Slope is -1/4

Y intercept is 5

9514 1404 393

Answer:

  (b)  sin⁻¹

Step-by-step explanation:

The relevant trig function relating angles to sides is ...

  Sin = Opposite/Hypotenuse

Here, we have ...

  sin(A) = 4/12 = 1/3

  A = arcsin(1/30 = sin⁻¹(1/3)

The inverse sine function can be used to find the angle.

Answer: The probability is 0.083

Step-by-step explanation:

First, let's find the individual probabilities:

The probability that the outcome of the red number cube is even:

This will be equal to the quotient between the number of outcomes that are even (3) and the total number of outcomes for this dice (6)

Then the probability is:

p = 3/6 = 1/2.

The probability that the outcome of the blue number cube is a 5.

Similar to the above case, here the probability will be the quotient between the number of outcomes that are 5 (only one) and the total number of outcomes.

q = 1/6

And the joint probability will be equal to the product of the individual probabilities, then he probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5 is equal to:

P = p*q = (1/2)*(1/6) = 1/12 = 0.083

Answer:

[tex]x=\frac{2}{3}, -4[/tex]

Step-by-step explanation:

hope this helps!

9514 1404 393

Answer:

  x = 7 1/3

Step-by-step explanation:

The smaller triangle is 6/9 = 2/3 the size of the larger triangle, so the left side is ...

  (x -2) = (2/3)(8)

  3(x -2) = 16 . . . . . multiply by 3 to clear fractions

  3x -6 = 16 . . . . . . eliminate parentheses

  3x = 22 . . . . . . . . add 6; next divide by 3*

  x = 22/3 = 7 1/3 . . . . . feet

_____

* Note that we multiplied by 3, then divided by 3. If you're comfortable working with fractions and/or mixed numbers, these steps are unnecessary. The answer is simply x = 2 + 16/3 = 22/3.

Answer:

14 × (19 + 6)

hope it helps

The expression represents the total number of cans of beans Mr. Jenkins is, (19+6)×14, So Option B is correct.

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Mr. Jenkins has 19 cases of beans

He also has 6 cases of beans in the stock room

There are 14 cans of beans in each case

Expression for total number of beans = ?

Total number of beans  = Total number of cases ×beans in each case

Total number of beans = (beans in grocery store+beans in stock room)×14

Total number of beans = (19 +6) × 14

Hence, the expression is  (19 +6) × 14

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Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

Indicating the solution to an inequality such as \displaystyle x\ge 4x≥4 can be achieved in several ways.

We can use a number line as shown in Figure 2. The blue ray begins at \displaystyle x=4x=4 and, as indicated by the arrowhead, continues to infinity, which illustrates that the solution set includes all real numbers greater than or equal to 4.

A number line starting at zero with the last tick mark being labeled 11. There is a dot at the number 4 and an arrow extends toward the right.

Figure 2

We can use set-builder notation: \displaystyle \{x|x\ge 4\}{x∣x≥4}, which translates to “all real numbers x such that x is greater than or equal to 4.” Notice that braces are used to indicate a set.

The third method is interval notation, in which solution sets are indicated with parentheses or brackets. The solutions to \displaystyle x\ge 4x≥4 are represented as \displaystyle \left[4,\infty \right)[4,∞). This is perhaps the most useful method, as it applies to concepts studied later in this course and to other higher-level math courses.

The main concept to remember is that parentheses represent solutions greater or less than the number, and brackets represent solutions that are greater than or equal to or less than or equal to the number. Use parentheses to represent infinity or negative infinity, since positive and negative infinity are not numbers in the usual sense of the word and, therefore, cannot be “equaled.” A few examples of an interval, or a set of numbers in which a solution falls, are \displaystyle \left[-2,6\right)[−2,6), or all numbers between \displaystyle -2−2 and \displaystyle 66, including \displaystyle -2−2, but not including \displaystyle 66; \displaystyle \left(-1,0\right)(−1,0), all real numbers between, but not including \displaystyle -1−1 and \displaystyle 00; and \displaystyle \left(-\infty ,1\right](−∞,1], all real numbers less than and including \displaystyle 11. The table below outlines the possibilities.

I hope I will help

Answer:

9.25

Step-by-step explanation:

No problem..

Answer:

23

Step-by-step explanation: hope this helps

Answer:

A and D are the answers for the question and

Step-by-step explanation:

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