Expand the brackets in these expressions
1.(a²)²
2.(3c)³
3.(2z²)³
4.a(2b)²
5.5(q2)2
6.(xy)²
7. i(jk)²

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

Answer:

y-4=3.1(x-1)

or y-1.6=3.1(x-1.4)

Step-by-step explanation:

Answer:

y = 3.1x - 2.74

Step-by-step explanation:

y-intercept: 1.6 - (3.1)(1.4) = 1.6 - 4.34

= - 2.74

Answer: 好吧，您看到当您将其乘以 73 然后除以 时，您将获得免费的旁遮普语和免费的，乔·佩珀将在凌晨 3 点拜访您

Step-by-step explanation: 详见附件

Step-by-step explanation:

X + Y + 6X - 4Y - 2 would be 7x - 3y -2

:) hope this helped let me know if you need more help! :)

____________

[tex] \: [/tex]

x + y + 6x - 4y - 2 = ...

= (1x + 6x) + (1y - 4y) + (-2)

= 7x - 3y - 2✔

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Answer:

If you were to create a scatterplot using sample ages such as : (30,32),(33,35),(47,49), etc. You will begin to see a perfect linear relationship, which would mean the correct correlation is 1.

(hope it helps! <3)

Answer:

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]

Answer:

ASA

Step-by-step explanation:

there is one more angle, which is the vertical opposite.

Answer:

Step-by-step explanation:

P(A)=1−P(not A)

We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.

0.02=1−P(not A)

P(not A)=0.98

Therefore, for all the clocks to pass, the probability is P(not A)11.

Now again, we can use complementary counting.

(probability of all clocks failing) = 1 - (probability of all clocks passing)

Probability of all clocks failing = 1−P(not A)11

Answer:

2,4

Step-by-step explanation:

Right answer but i am not conform

x = - 85

y = 52

Answer:

45.625cm²

Step-by-step explanation:

To solve this, we need to do the area of the circle - the area of the rectangle:

Area of the circle

a = πr² (r is the radius, half the diameter)

a = π × 4²

a = π × 16

a = 16π or 50.265cm²

Area of the rectangle

a = length × width

a = 5 × 1

a = 5cm²

50.265 - 5 = 45.265

Hope this helps!

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps

pasensya naka limutan kona

Answer:

X = 40°

Step-by-step explanation:

The triangle on the left is an Isosceles triangle which means it has 2 equal sides. So, to find the third angle, u have to minus 180 and both the base angles.

180° - 35° - 35°

= 110°

Then, minus 180 with the right triangle base bcs a straight line is 180°.

So,

180 - 110

= 70°

Now u got the right triangle base which is also an isosceles triangle so both angles are 70°

Now to find the third angle, minus 180 to both the base angles

180 - 70 - 70

= 40°

And that's your answer.

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

a. we are to determine the amount of the accumulated capital after 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

https://brainly.com/question/14295570?referrer=searchResults

Answer:

y=x-2+√3

Step-by-step explanation:

I'm not sure keep it up

Answer:

Angle Z is 70 degrees

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.

180-45-65 = 180-110 = 70

Answer:

-1,3

Step-by-step explanation:

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

Answer:

Step-by-step explanation:

You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.

The two points are (2,-2) and (-3,-6)

Now construct a line in point intercept form from these two points.

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

m = (-2 - - 6)/(2 - - 3)

m = 4/5

So far what you know is

y = 0.8 x + b

Use either one of the two points to get b (the y intercept)

x = 2

y = - 2

-2 = 0.8*2 + b

-2 = 1.6 + b             Subtract 1.6 from both sides

-3.6 = b

y = 0.8x - 3.6

3

Answer:

The error is that the question equals -13-13.

Step-by-step explanation:

This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)

Answer:

a

Step-by-step explanation:

Answer:

[tex]\boxed{\sf x=-15}[/tex]

Step-by-step explanation:

[tex]\sf 10=x+25[/tex]

[tex]\sf x+25=10[/tex]

[tex]\boxed{\mathrm{Subtract\:}25\mathrm{\:from\:both\:sides}}[/tex]

Answer:

x = -15

Step-by-step explanation:

Answer:

921

Step-by-step explanation:

If he recives 3x amount than his oppenent

than we would divided by 3 from his score to find oppponets score

so....

2763 divided by 3=921

Answer:

Therefore, he can make 2 batches of lemonade with 1pint of lemon juice

Anthony can make 2 batches of lemonade with 1 pint of lemon juice.

In this problem, we'll determine how many batches of lemonade Anthony can make using a given amount of lemon juice. We'll be using the fact that 1 pint is equivalent to 16 fluid ounces.

Step 1: Convert Pints to Fluid Ounces

Since 1 pint is equal to 16 fluid ounces, we need to convert the given 1 pint of lemon juice into fluid ounces.

1 pint = 16 fluid ounces

Step 2: Calculate Batches

Now that we know 1 pint is equal to 16 fluid ounces, we can find out how many batches of lemonade Anthony can make using 8 fluid ounces of lemon juice per batch.

Number of batches = Total fluid ounces / Fluid ounces per batch

Substitute the values:

Number of batches = 16 fluid ounces / 8 fluid ounces per batch

Number of batches = 2 batches

Therefore, Anthony can make 2 batches of lemonade using 1 pint of lemon juice, given that he uses 8 fluid ounces of lemon juice in each batch.

This calculation ensures that he has enough lemon juice for the desired number of batches without any wastage.

To know more about Batches here

https://brainly.com/question/33079787

#SPJ3

Answer:

a = 34

Step-by-step explanation:

Tell me in the comments if you want an explanation!

Hope This Helps! •v•