Let A={1,2,3,4,5} and B={2,4} what is AnB

Answer:

140

Step-by-step explanation:

5%/100 = 7/?

7 times 100 = 700

700 divided by 5 = 140 coins

the image is formed of a rectangle and a square

perimeter of the cabin = perimeter of rectangle + perimeter of square

= 2(l+b) + 4×side

= 2(7+5) + 4×5

= 24 + 20

perimeter of the cabin = 44 cm

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 500(1 - 0.08)^t[/tex]

[tex]A(t) = 500(0.92)^t[/tex]

At the 13th day, the mass is given by:

[tex]A(13) = 500(0.92)^{13} = 169.1[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

68

Given:

Substitute equation 1 into 2

Find y:

y = x - 5

y = 1 - 5     (when x is 1)

y = -4

========

y = x - 5

y = 4 - 5        (when x is 4)

y = -1

Then 4x² + 4y²:

Answer:

68

Step-by-step explanation:

[tex]\textsf{Equation 1}:\:x-5=y[/tex]

[tex]\textsf{Equation 2}:\:xy+4=0[/tex]

Substitute Equation 1 into Equation 2:

[tex]\implies x(x-5)+4=0[/tex]

[tex]\implies x^2-5x+4=0[/tex]

Factorize:

[tex]\implies (x-1)(x-4)=0[/tex]

Therefore:

[tex]x=1, x=4[/tex]

Substitute found values of [tex]x[/tex] into Equation 1 and solve for [tex]y[/tex]:

[tex]x=1\implies 1-5=-4[/tex]

[tex]x=4\implies 4-5=-1[/tex]

Substitute found values into [tex]4x^2+4y^2[/tex] and solve:

[tex]\textsf{For}\:(1,-4)\implies 4(1)^2+4(-4)^2=68[/tex]

[tex]\textsf{For}\:(4,-1)\implies 4(4)^2+4(-1)^2=68[/tex]

Note:  As [tex]4x^2+4y^2[/tex], the values of x and y can be interchanged, so no need to input both sets of ordered pairs into the equation to solve.

Using arithmetic sequence concepts, it is found that the common difference is of 0.25.

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, we have that:

[tex]a_3 = 8, a_7 = 9[/tex]

Hence:

[tex]a_7 = a_3 + (7 - 3)d[/tex]

9 = 8 + 4d

4d = 1.

d = 0.25.

The common difference is of 0.25.

More can be learned about arithmetic sequence concepts at https://brainly.com/question/6561461

Expansion : [tex](x+1)(x+9) = x(x+9) + 1(x+9) = x^{2} +9x + x + 9[/tex]
Simplify : [tex]x^{2} +10x + 9[/tex]

Answer:

[tex]\huge\boxed{ \bf\:x^{2} + 10x + 9}[/tex]

Step-by-step explanation:

[tex](x + 1)(x+9)[/tex]

Let's expand it at first.

[tex](x + 1)(x + 9)\\= x (x + 9) + 1 (x + 9)\\= x^{2} + 9x + x + 9[/tex]

Now, simplify it.

[tex]x^{2} + x + x + 9\\= \boxed{ x^{2} + 10x + 9}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

3.  Object C.

Step-by-step explanation:

The inertia of an object is the measure of the force required to set it in motion.  For two objects to have the same motion, the one with the greater mass will require a proportionately greater force to achieve the same motion.

Object C, with a mass of 1,250,000 grams (1,250 kg) will have the greatest inertia.

Answer:

A

Step-by-step explanation:

A) r = 8

B) r = 4

C) r = [tex]\sqrt{\frac{30}{\pi } }[/tex] ~ 3.09

D) r = [tex]\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77[/tex]

Circle A has the largest radius, and thus is the largest circle

Answer:

2 years

Step-by-step explanation:

If it is annunal I think it would be 2 years

5 x annual year (year) =2

Answer:

12

Step-by-step explanation:

collect the like terms and divide

1) Water in a plastic container, p'= 10 - 3 p

2) Water in a glass container = 27 quarts

Water in a plastic container = 1 quarts

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A glass jug can hold (p + 6) quarts less water than a plastic container, 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.

Now,

Let j represents water in one glass jag while p' represents the water in one plastic container,

Hence, According to the question,

⇒ j - p' = 6p+8 --------(1)

And, 2j+2p'=56p --------(2)

2 × equation (1)

⇒ 2 j - 2 p' = 12p + 16 ---------(3)

Equation (2) + equation (3)

We get, 4 j = 12 p + 72

⇒ j = 3 p + 18

Putting this value in equation (1),

We get, 3p+18-p'=6p+8

p' = -3p + 10 = 10 - 3p

Thus, water in a plastic container, p'= 10 - 3 p

b) If p=3

Water in a glass container = 3 × 3 + 18 = 27 quarts

Water in a plastic container = 10 - 3 × 3 = 1 quarts

Learn more about the mathematical expression visit:

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#SPJ2

Hey there!

Option A.
23 + (4) - 4 * 2

= 23 + 4 - 4 * 2

= 27 - 4(2)

= 27 - 8

= 19

19 ≠ 32

Option B.
3 * 3 + (42) - 4

= 3 * 3 + 42 - 4

= 9 + 42 - 4

= 51 - 4

= 47

47 ≠ 32

Option C.
42 - 7 * 0

= 42 - 0

= 42

42 ≠ 32

Option D.
4 * 5 + 2 - 4 + 2

= 20 + 2 - 4 + 2

= 22 - 4 + 2

= 18 + 2

= 20

20 ≠ 32

None of them are equivalent to 32

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

3.

Step-by-step explanation:

Hey there!

This scenario shows that Victoria ate 6/7 of a pizza and ate 1/4 of that pizza the same day for dinner showing that she at one fourth of the six-sevenths pieces

Answer:

It is the third one.

Step-by-step explanation:

Let's take a look at each story. We need to find out which story is [tex]\frac{6}{7}[/tex]×[tex]\frac{1}{4}[/tex].

1. Victoria drinks six-sevenths of a cup of milk. She drinks one-fourth of a cup more of milk. How much milk did she drink in all?

This story is adding the fractions together since it wants to know how much did she drink in ALL. So this is not it.

(Here are some keywords to tell you if you need to add, altogether, all, in all, together, total, total number, add, increase, increased by, more than.)

2. Mike walked one-fourth mile and then he took the bus for six-sevenths mile to school. How many miles did he travel in total?

Once again this story is adding. It uses the word total. So this is not it.

3.Victoria has six-sevenths of a pizza. She ate one-fourth of it for dinner. How much pizza did Victoria eat for dinner?

This is correct since it wants to know how much she ate for dinner. She ate [tex]\frac{1}{4}[/tex] of [tex]\frac{6}{7}[/tex] of the pizza.

4.Mike has six-sevenths of a pie. He gives one-fourth to his brother. How much pie does he have left

This story is subtracting. So it is not it. (Subtracting words, minus, greater than, take away, fewer than, less than, subtract, decreased by.)

Answer:

x = -1

x = 3

Step-by-step explanation:

[tex]\sf x^2 - 2x = 3[/tex]

Add 1 to both sides:

[tex]\sf \implies x^2 - 2x+1 = 3+1[/tex]

Factor the left side:

[tex]\sf \implies (x-1)^2 = 4[/tex]

Square root both sides:

[tex]\sf \implies x-1 = \pm2[/tex]

Therefore:

[tex]\sf \implies x-1=-2 \implies x=-1[/tex]

[tex]\sf \implies x-1=2 \implies x=3[/tex]

finish the question..............

Answer:

Part 1- Lydia

Step-by-step explanation:

The full question should be

Four friends each took a different path walking from the lunchroom to the gymnasium. The table shows the distance that each of them walked. Who walked the farthest?

Answer:

6.3 :)

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!!

3^2 + b^2 = 7^2

9 + b^2 = 49

Now we subtract!!

49 - 9 = b^2

40 = b^2

Now we need to find the square root!!

[tex]\sqrt{40}[/tex] = 6.3

Have an amazing day!!

Please rate and mark brainliest!!!

Answer:

"a linear function has the form y = mx + b. "

Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle

Answer:

39364.

Step-by-step explanation:

I guess its an = 4*(3)^(n-1)

r = 3, a1 = 4 and n = 9

Sum of n terms = a1 * (r^n - 1) / (r - 1)

so S9 = 4 *(3^9 - 1) / (3 - 1)

= 4 * (19683  - 1) / 2

= 78728/2

= 39364.

(-2)-(-5)=0

bit 2 minuses= + so:

-2+5=0

3=0

1

Step-by-step explanation:

Seeing its an arithmetic sequence

T1=1......T2=2.....T3=3

To get your constant difference

T2=T1 is also equals to T3=T2

so 3-2=1 and 2-1=1

therefore the constant difference is 1

Answer:

find the ratio of 15 min and 1hiyr

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation:

Each goal gets 2 points and each assist gets 1 point

If # of goals = g , and you get 2 points for each goal, then points acquired by goals can be represented by 2g

If # of assists = a, and you get 1 point for each assist, then points acquired by assists can be represented by a

The total # of points the player had was 42. This means that 2g + a = 42 (this is the first equation)

We are also told the player scored a total of 24 goals and assists. If g = # of goals and a = of assists, then g + a = 24 (this is the second equations)

So the two equations are g + a = 24. 2 g + a = 42.

Answer:

g + a = 24. 2 g + a = 42.

Step-by-step explanation

trust

Answer:

480 in³

Explanation:

Volume of Rectangular Prism = Length * Height * Width

Front Volume:

Behind Volume:

Total volume:

Both are cuboids

#1

Volume:-

#2

Volume:-

Total:-

400+80=480in³

Answer:324pie cm^2

Step-by-step explanation:

Answer:

22 in.

Step-by-step explanation:

total volume= big thingy + long thingy

=>x=2.2.3+5.2=12+10=22