Einstein's equation relating mass and
energy is given by the formula E = mc,
where m is the mass of an object and
<= 3 x 10 ms', the speed of light.
a Find how much energy is present in
a 1 kg mass. (1 kg ms-'= 1 joule)
(2 marks)

- 4.(6)

Hi there !

- 4  2/3 =

= - 4  6/9

= - 4.(6)

Good luck !

Answer:

R1 subtraction  R2 distrivution S4 9x=61 R5 division

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

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Answer:

6 hundreds

1 tens

0 ones

4 tenths

7 hundredths

Answer:

21

Step-by-step explanation:

When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!

Answer:

21

Step-by-step explanation:

2/3+4/7= 8/21

the top number is the numerator and the bottom number is the denominator.

Step-by-step explanation:

-2(3x-12)+4-13

=-6x+24+4-13=-7x-15

=6x-15

4(5x-1)+8x-20=20x-4+8x-20

=28x-24

So this is ur solution.

But if u wnt to solve these eq. together thn it will be:-

6x-15=28x-24

6x-28x=-24+15

-22x=-9

x=22/9=2.44

Hope u like it.

Answer:

-8+9 is problem one

Step-by-st-ep explanation:

Answer:

Tge answer:8k+25k-15

Answer:

The Discriminant is 25

Step-by-step explanation:

For this case, the discriminant will be given by

b ^ 2 - 4 * a * c

Where

b = 7

a = 3

c = 2

substituting

b ^ 2 - 4 * a * c = (7) ^ 2 - 4 * (3) * (2) = 25

Therefore the value of the discriminant is 25.

How many x-intercepts does this function have?

It has two intercepts with the x axis and can be found by equaling the function to zero. That is to say,

3x2 + 7x + 2 = 0

The results will be the interceptions with x.

What are the number of zeros for this function?

The number of zeros for this function is

two real number solutions

Because it is a quadratic function.

Answer:

175

Step-by-step explanation:

7 times 25=175

Answer:

[tex]a.\ \dfrac{3}{5}[/tex]

Step-by-step explanation:

We can see the fractions [tex]\frac{5}{4}[/tex] and [tex]\frac{3}{4}[/tex] of cups.

It can be seen that denominator has 4 i.e. the fraction [tex]\frac{1}{4}[/tex].

Let us suppose, a unit is equal to [tex]\frac{1}4[/tex] of a cup.

Susan was supposed to use [tex]\frac{5}{4}[/tex] of a cup.

i.e. 5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

[tex]\text{Fraction of butter used} = \dfrac{\text{Units of butter used}}{\text{Unit of butter Susan was supposed to use}}[/tex]

a. [tex]\text{Fraction of butter used} = \dfrac{3}{5}[/tex]

Alternatively, we could have directly divided the given fractions:

[tex]\dfrac{\dfrac{3}{4}}{\dfrac{5}{4}} = \dfrac{3}{5}[/tex]

The fraction of the butter that she should have used did Susan actually use is :

Fractions =5/4 and 3/4 of cups.

Denominator = 4 i.e. the fraction 1/4

Let us suppose,

A unit is equal to 1/4 of a cup.

Susan was supposed to use 5/4 of a cup.

5 units of butter was to be used.

But, actual recipe has only 3 units of butter.

Fraction of butter used=unit of butter used/unit of butter                        

                                                                 that was supposed to      

                                                                         be use

                                        =3/4/5/4

                                        =3/5

The fraction of the butter that she should have been used is 3/5.

Find out more information about "Fractions":

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Answer:

b

Step-by-step explanation:

The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 30 )

Let the second point be Q ( 8 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = amount of money Janet earns per hour

So , slope m = ( 60 - 30 ) / ( 8 - 4 )

On simplifying , we get

The amount of money Janet earns per hour = 30/4

The amount of money Janet earns per hour = $ 7.50

Hence , the amount of money Janet earns = slope = $ 7.50

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Answer:

A

Step-by-step explanation:

Got it right

Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

To solve the equation for s we've got to leave s alone

[tex]n = \frac{s + 360}{180} \\ 180n = s + 360 \\ 180n - 360 = s[/tex]

Answer:

(-15)

Step-by-step explanation:

10-25 = (-15)

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Answer:

(xy) ^ (-1)

Step-by-step explanation:

Good luck!!

Answer:

Assuming that the question is  

[tex]f(x)=\frac{3}{5x^5}[/tex]

The asnwer would be

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Step-by-step explanation:

The domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

Domain and  Range of function

The domain are the input values for which a function exist while the range are output value for which the function exist.

Given the function:

g(x) = 35x^5

The function can exist on all real values since we will have a correspoding value of y for every value of x.

Hence the domain and range of the function are:

Domain: (- ∞,0) U (0, ∞)

Range: ( - ∞,0) U (0, ∞)

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Answer:

5(2c+5)

I hope this helps

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

Answer:

63

Step-by-step explanation:

Step-by-step explanation:

I think 12.5 is the answer

Answer:

200 minutes

Step-by-step explanation:

So we know that the speed is 92 km/h for the first car and 68 km/h for the second car. We do not know the time, but we do know that we need to convert it into minutes. The time for both cars would be x/60. Now we multiply speed by time and get distance. The first car would be 92 x/60 and the second would be 68 x/60, now we cross multiply and make an equation. 92x/60 - 68x/60 = 80, 24x = 80, x=200 minutes.

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

The distance between of the AM = BM = AB/2  is 3 cm, NC = ND = DC is 3 cm, MN = MB + DC + NC, and MN is 6.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = DC = 6 cm. Find the distance between M and N, which are the midpoints of segments AB and DC, respectively.

Then we know

[tex]\rm AM = MB \\\\NC = ND[/tex]

Then we have

[tex]\begin{aligned} \rm AM + MB &= \rm AB\\\\ \rm AM+AM &=6 \\\\ \rm AM &= 3 \end{aligned}[/tex]

Similarly, we have

[tex]\begin{aligned} \rm NC + ND &= \rm DC\\\\ \rm NC+NC &=6 \\\\ \rm NC &= 3 \end{aligned}[/tex]

NC = ND = 3 cm

AM = MB = 3 cm

1. AM = BM = AB/2 = 3 cm.

2. NC = ND = DC = 3 cm.

3. MN = MB + DC + NC.

4. MN = MB + DC + NC = 3 + 6 + 3 = 12 cm.

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Answer: -18x-6

Step-by-step explanation:

You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).

-3 x 6 = -18

-3 x 2 = -6

(+ -6 can be written as -6)

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Answer:

$1.12

Step-by-step explanation:

When you multiply 8/7 of 56, you get 64.

This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents

The answer to the equation is [tex]n=5[/tex]

First, you must add 0.8n on both sides.

[tex]0.6n+7=10[/tex]

Then, subtract 7 from both sides.

[tex]0.6n=3[/tex]

Finally, divide both sides by 0.6

[tex]n=5[/tex]