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2 years ago

Please help me with this question

Mathematics

1 answer:

Wewaii [24]2 years ago

7 0

Answer:

${a}^{15} . {2}^{9}$

this is the answer

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Tanna scored 130 points on her first game of bowling. On her second game of bowling she scored 156 points. Calculate her percent

Marina CMI [18]

Answer:

the answer is a 20% increase

Step-by-step explanation:

first, you have to find the amount of change (how much her points scored increased

second , you would divide $\frac{26}{130}$ which equals 0.2

then you would multiply by 100 or move the decimal two places to the right

which would equal 20%

5 0

1 year ago

Find the number of elements in A 1 ∪ A 2 ∪ A 3 if there are 200 elements in A 1 , 1000 in A 2 , and 5, 000 in A 3 if (a) A 1 ⊆ A

lina2011 [118]

Answer:

a. 4600

b. 6200

c. 6193

Step-by-step explanation:

Let $n(A)$ the number of elements in A.

Remember, the number of elements in $A_1 \cup A_2 \cup A_3$ satisfies

$n(A_1 \cup A_2 \cup A_3)=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)$

Then,

a) If $A_1\subseteq A_2, n(A_1 \cap A_2)=n(A_1)=200$ , and if $A_2\subseteq A_3, n(A_2\cap A_3)=n(A_2)=1000$

Since $A_1\subseteq A_2\; and \; A_2\subseteq A_3, \; then \; A_1\cap A_2 \cap A_3= A_1$

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-200-200-1000-200=4600$

b) Since the sets are pairwise disjoint

$n(A_1 \cup A_2 \cup A_3)=\\n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\200+1000+5000-0-0-0-0=6200$

c) Since there are two elements in common to each pair of sets and one element in all three sets, then

$n(A_1 \cup A_2 \cup A_3)=\\=n(A_1)+n(A_2)+n(A_3)-n(A_1\cap A_2)-n(A_1\cap A_3)-n(A_2\cap A_3)-n(A_1\cap A_2 \cap A_3)=\\=200+1000+5000-2-2-2-1=6193$

8 0

2 years ago

PLS HELP ME FIND THE ANSWER TO THESE 2 QUESTIONS PLEASE

lisov135 [29]

Answer:

Step-by-step explanation:

116f) 5 - |p + 6| = -8

|p + 6| = 13

p + 6 = 13 OR p + 6 = -13

p = 7 OR p = -19

In this case, I think you have to plot a point at 7 and -19.

116a) |7x| = 5

7x = 5 OR 7x = -5

x = $\frac{5}{7}$ OR x = $-\frac{5}{7}$

Again, I think you need to plot points at $\frac{5}{7}$ and $-\frac{5}{7}$ .

3 0

2 years ago

How to solve a equation like:<br> 2m = -2/3

adell [148]

Answer:

$m = -\frac{4}{3}$

Step-by-step explanation:

$2m = -\frac{2}{3}$

Divide both sides by 2 to get just m

$\frac{2m}{2} = \frac{-\frac{2}{3}}{2}$

You can't divide a fraction by a number so you do kcf (keep it, change it, flip it)

$m = -\frac{2}{3} x \frac{2}{1}$

$m = -\frac{4}{3}$

6 0

2 years ago

Find all solutions of the equation in the interval [0, 2pi).

lozanna [386]

Answer:

543

Step-by-step explanation:

8 0

2 years ago