A person can do a job in 6 days. Another can do the same job in 4 days. If they work together, how long do they need to finish the job?

Answer:

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

Step-by-step explanation:

[tex]E = mc^2[/tex]

[tex]$c^2=\frac{E}{m} $[/tex]

[tex]$c=\sqrt{\frac{E}{m} } $[/tex]

or

[tex]$c=\left(\frac{E}{m} \right)^{\frac{1}{2} }$[/tex]

The equation will be , C= (E/3)^1/2

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division.

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

E = mc^2

c² = E/m

c= √ (E/m)

or,

C=  (E/m) ^1/2

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Answer:

(a) 26.43%

(b) 189 seconds

Step-by-step explanation:

(a) Data

Z-score is calculated as follows:

z = (x - mean)/sd

z = (240 - 228)/19

z = 0.63

We want to find the next probability P(Z>0.63), which is equivalent to 1 - P(Z≤0.63)

From table, 1 - P(Z≤0.63) = 1 - 0.7357 = 0.2643 or 0.2643*100 = 26.43%

(b) We want to find z1 at which P(Z≤z1) = 0.2. From the second table, z1 is between -2.05 and -2.06.

z = (x - mean)/sd

-2.055 = (x - 228)/19

(-2.055)*19 + 228 = x

x = 189 s

Answer:

your answer would be 45 I hope this was helpful

Step-by-step explanation:

Answer:

The answer is A, 45.

Step-by-step explanation:

Answer:

3x^2 or 8x

Step-by-step explanation:

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

There is no restriction on the variable x, so the domain is all reals.

Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Answer:

-2q - 6

Step-by-step explanation:

Step 1: Rewrite expression

-6 + 4q - 6q

Step 2: Combine like terms

-6 - 2q

Step 3: Rearrange

-2q - 6

Answer:

The like terms are 4q and -6q. Since 4q + (-6q) = -2q the answer is -6 - 2q.

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

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Answer:

Step-by-step explanation:

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

Answer:

c

Step-by-step explanation:

Answer:

(d) makes sense to me!!

Step-by-step explanation:

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

Answer:

90

Step-by-step explanation:

Total People = 250

Left the party at 11 pm = 70

Stayed = 250-70

=> 180

Couples that stayed = 180/2

=> 90

Answer:

90 Couples

Step-by-step explanation:

There were 250 total people at the beginning at the party. 70 people left at 11pm.

Subtract 70 from 250:

[tex]250-70=180[/tex]

There were 180 people that stayed.

A couple consists of two people. The question asks how many couples stayed at the party, not people.

Divide 180 by 2:

[tex]\frac{180}{2}= 90[/tex]

There would be 90 couples that stayed at the party.

Answer:

1 to 4 (1:4)

Step-by-step explanation:

every 1 mile to every 4 miles

car A 1 mile to car B 4 miles

Answer:

whats the question?

Step-by-step explanation:

Answer:

26 <t+2

Step-by-step explanation:

The volume has to be louder than 26 so the inequaltiy sign should be an x is greater than sign and the intervals increase by 2 so you can add 2 to each x.

Hope this helps!

Answer:

6 units down

Step-by-step explanation:

Transformation is the movement of a point from its original position to a new position. If an object is transformed, all the point making the object is also transformed. There are four different transformations: Reflection, dilation, translation and rotation.

If y = f(x), y = f(x) + k is a translation k units up if k > 0 and is a translation k units down if k < 0

Given that the parent function is an absolute value represented by:

y = |x|

Therefore comparing y = |xl - 6 with y = f(x) + k, k < 0, therefore this is a translation of 6 units down

Answer:

B: 15

Step-by-step explanation:

I got it right on Edge

The value of 'x' in the top angle is 5 degrees.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

Given, The angle formed at the top of the triangle is 2x° and the angle formed at the intersection of s and n is 70° and at t and n is 100°.

We know the sum of all the interior angles in a triangle is 180°.

Therefor, 2x + 100° + 70° = 180°.

2x = 10°.

x = 5°.

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Answer:

3) 84°

Step-by-step explanation:

The angle formed by a chord and a tangent measures half of the intercepted arc.

m<A = (1/2)m(arc) = (1/2) * (168 deg) = 84 deg

Answer:

84 degrees

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The measure of side a is 6.3 unit.

The ratios of the length of a side to the sine of the angle opposite the side must all be the same if A, B, and C are the measurements of the angles of an oblique triangle and a, b, and c are the lengths of the corresponding sides.

Given:

c= 16 and B= 67 degree

<C= 90 degree

Using sine law

b / sin B = c / sin C

b / sin 67 = 16 / sin 90

b/ sin 67 = 16 / 1

b = 16 sin 67

b = 16 x 0.9205

b = 14. 728

Using sine law

c / sin C = a / sin A

16 / sin 90 = a / sin 23

16 = a / sin 23

a = 6.25

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Answer:

12

Step-by-step explanation:

By definition, opposite sides of a parallelogram are congruent.

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Step-by-step explanation:

Answer:

sin(theta) = a / c csc(theta) = 1 / sin(theta) = c / a

cos(theta) = b / c sec(theta) = 1 / cos(theta) = c / b

tan(theta) = sin(theta) / cos(theta) = a / b cot(theta) = 1/ tan(theta) = b / a

Answer:

4x -2 = -2x +6

Step-by-step explanation:

The red is negative

4x -2 = -2x +6

Answer:

B

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Slope is rise over run:

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

The table is a linear function, so any two points from the table would have a consistent slope.  

Pick two points and apply them to the formula:

(-4,-2) and (-2, -10)

[tex]m=\frac{-10+2}{-2+4}=\frac{-8}{2}=\boxed{-4}[/tex]

The slope is -4.  Yes, your answer should be correct.

Answer:

49

Step-by-step explanation:

The n th term of square numbers is calculated using

[tex]a_{n}[/tex] = n²

Thus for the 7 th term, let n = 7 , that is

a₇ = 7² = 49

Answer:

D=100(opposites angles are equal)

A=C=80 (adj angles are supplementry)

Step-by-step explanation:

Answer:

x = 80

y = 100

z = 80

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.  Thus, angle y = 100 degrees.  In a parallelogram adjacent angles are supplementary so angle x and z are 80 degrees.

Hope it helps <3

Sorry, not sure I understand.  (ab)/(a+b) is NOT equal to a*b, as a*b is the same thing as ab.

I think the answer might be 10

Answer:

528

Step-by-step explanation:

So naturally at first sight for this question we would think -->

Oh 3 consecutive integers = 66 --> 66/3 = 22 (n-1), (n+1) so --> 21, 22, and 23.

But no. At second look it is the sum of 3 consecutive integers is greater than 66. So we find the next possible pair since it says smallest possible product.

We get the set (22, 23, 24). => Multiply the least and greatest integers together respectively 22 and 24 which amounts to => 528

And thus, we have out answer of 528

Hope this helps!

Answer:

answer is 45 if helped please give 5 star

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

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Answer:

Hey there!

These ratios are equivalent.

The given ratio is 3:4

If we multiply both sides by 5, we will get 15:20.

Thus, the ratios are equivalent.

Let me know if this helps :)

Answer:

What does the tense of the underlined verb reveal about the subject?

The event took place in the past continuously but concluded prior to another past event.

The event took place in the past continuously.

The event concluded prior to another past event.

The event has been completed.

Step-by-step explanation: