A body of mass 80kg was lifted vertically through a distance of 5.0 metres. Calculate the work done on the body. ( Acceleration due to gravity g=10ms²)​

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

The weekly wages earned was $483.75

Here, we want to calculate the amount wages earned in that particular week

From the question, she earns $8.15 per hour

So for 35 hours workrd, the amount earned would be 35 * $8.15 = $285.25

Now, by adding the amount of tips, the total wages earned for that week would be;

$285.25 + $198.50 = $483.75

Answer:

5,024,000,005.006

Step-by-step explanation:

This is the standard form of five billion, twenty-four million, five and six thousandths.

Answer:

d = \(\frac{7y+5}{3}\)

Step by step explanation:

3d = 7y+5

Divide both sides by 3

\(\frac{3d}{3}\)= \(\frac{7y}{3}\)+ \(\frac{5}{3}\)

Simplify

\(\frac{7y+5}{3}\)

Turn me into a superhero

The relation that is a function is relation (b)

The ordered pairs in the option represent the given parameters

For a relation (i.e. the ordered pairs) to be a function, the following must be true:

Each y value on the ordered pair must have exactly one x value

i.e. no x value must point to the different y value

Having said that the relation that is a function is relation (b)

Hence, the the relation that is a function is relation (b)2

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x=2×(y-2)

Step-by-step explanation:

y= 1/2x+2

y-2=1/2x

2×(y-2)=x

sorry if this is not what you're looking for

Answer:

36.3636364%

or 36.36

Step-by-step explanation:

Hence, the probability of selecting two Democrats is \(45\).

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.

The meaning of probability is basically the extent to which something is likely to happen.

Here given that,

Consider a political discussion group consisting of \(9\) ​Democrats, \(9\) ​Republicans, and \(5\) Independents. Suppose that two group members are randomly​ selected, in​ succession, to attend a political convention.

Let us assume ,

The discussion of the democratic is \(x_1=9\).

The discussion of the democratic is \(x_2=9\).

The discussion of the democratic is \(x_3=5\)

So, the total number of candidates are

\(x_t=x_1+x_+x_3\\\\=9+9+5\\\\=23\)

Probability of independate candidate from the group of candidates is

\(P_1=\frac{x_3}{x_t}\\\\P_1=\frac{5}{23}\\\\\)

As, the remaining number of candidates after the selectio of the independent candidate is

\(x_r=x_t-1\\\\x_r=23-1\\\\x_r=22\)

Now, the remaining number of candidates from the group of total remaining candidates is

\(P_2=\frac{x_1}{x_r}\\\\P_2=\frac{9}{22}\)

So, the probability of an independent Democrat using the probability is

\(P=P_1\) × \(P_2\)

\(P=\frac{5}{23}\) ×\(\frac{9}{22}\)

\(P=\frac{110(207)}{506}\\\\P=\frac{22770}{506}\\\\P=45\)

Hence, the probability of selecting two Democrats is \(45\).

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Answer:

  x = 10

Step-by-step explanation:

You want the value of x that satisfies x -(x-1)/3 -(2x-5)/5 +(x+8)/6 = 7.

The least common denominator is 5·6 = 30, so we can eliminate the fractions by multiplying by 30:

  30x -10(x -1) -6(2x -5) +5(x +8) = 7·30

  30x -10x +10 -12x +30 +5x +40 = 210 . . . . . eliminate parentheses

  13x +80 = 210 . . . . . . . . . collect terms

  13x = 130 . . . . . . . . . . subtract 80

  x = 10 . . . . . . . . . . divide by 13

__

Additional comment

Often an equation can be nicely solved by a graphing calculator. We like to write the equation in the form f(x) = 0, and look for the x-intercepts. Those are usually labeled by the calculator. Here that rewrite is accomplished by subtracting 7 from both sides.

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Answer:

52

Step-by-step explanation:

8+5=13

13x8=104

104/2=52 (divided)

Answer:

52

Step-by-step explanation:

I took the test

Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Answer:

there is the answer good luck

Answer: 4 cm

Step-by-step explanation:

See attached image.

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

The probability of observing no positive reading if all suspects are telling the truth is d. 0.59. Probability theory is a branch of mathematics that is used to model and analyze random events.

Probability can be used to predict the likelihood of different outcomes in a wide range of situations, from games of chance to scientific experiments to everyday events. Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

To solve this problem, we need to calculate the probability of observing no positive readings given that all suspects are telling the truth, which is equal to the probability that all 5 suspects receive a negative reading on the lie detector test. Since the lie detector will show a positive reading 10% of the time when a person is telling the truth, the probability that a suspect will receive a negative reading when telling the truth is 1 - 10% = 90%. Therefore, the probability that all 5 suspects will receive a negative reading when telling the truth is:

(90%)^5 = (0.9)^5 = 0.59049.

The correct answer is therefore (d) 0.59.

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Therefore, the only possible answer of equation is (x,y) = (1,0), which is also the only one.

The identical character (attempted to enforce is used in mathematical formulas to signify the equality of two claims. Mathematical variables, also referred to as assertions, are used to demonstrate the equality of many academic figures. For expression instance, the normalise divides the result y + 6 = 12—which also includes the numbers 12 and b + 6—into two parts.

Here,

The linear equations (c) x+y=1 and x-y=1 have precisely one solution.

We can solve for x and y using either substitution or reduction to see this:

Elimination:

=> x + y = 1

=>  x - y = 1

=>  2x = 2

=>  x = 1

Put x=1 in place of either equation:

=> 1 + y = 1

=> y = 0

As a result, the only possible answer is (x,y) = (1,0), which is also the only one.

The other systems either describe the same line and have infinitely many solutions (d), have no solutions (a), infinitely many solutions (b), or are equivalent equations (a).

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Answer: 1/4

Step-by-step explanation: I think that’s the answer! i’m sorry i’m in 8th fe are