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aleksklad [387]
3 years ago
15

The research of Eich and Metcalf would suggest that if you were really happy when you were learning math, you should be ________

_ when taking the math exam to do well.
Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0
You should be happy taking the math exam to do well?
omeli [17]3 years ago
4 0
Your answer is "happy" based on <span>mood-dependent memory research they conducted.</span>
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Determine each of the following.
castortr0y [4]

Answer:

(a) \{1,2,3,4,5,6,7,8,9,10\}

(b) 10

(c) \{\}

(d) 0

(e) 1024

Step-by-step explanation:

(a)

A = {x ∈ Z | 0 < x, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

0                ... (1)

x^2\leq 100

Taking square root on both sides.

-\sqrt{100}\leq x\leq \sqrt{100}

-10\leq x\leq 10             .... (2)

Using (1) and (2) we get

0

Since x ∈ Z,

A=\{1,2,3,4,5,6,7,8,9,10\}

(b)

We need to find the value of  | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.

|A|=10

| {x ∈ Z | 0 < x, x² ≤ 100}| = 10

(c)

B = {x ∈ Z | x > 10, x² ≤ 100}

We need to find all the elements of given set.

The given conditions are

x>10                ... (3)

x^2\leq 100

It means

-10\leq x\leq 10             .... (4)

Inequality (3) and (4) have no common solution, so B is null set or empty set.

B=\{\}

(d)

We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.

|B|=0

|{x ∈ Z | x > 10, x² ≤ 100}| = 0

(e)

We need to find the value of | P(A) |. P(A) is the power set of set A.

Number of elements of a power set is

N=2^n

where, n is the number of elements of set A.

We know that the number of elements of set is 10. So the value of |P(A)| is

|P(A)|=2^{10}

|P(A)|=1024

Therefore |P(A)|=1024.

7 0
2 years ago
Tara runs an amusement park ride and needs to count the people who get on the ride. At the beginning of her shift, 132 people ha
DanielleElmas [232]
Y= the number riders over time
x= hours into Tara's shift
y= 33x + 132
6 0
3 years ago
Read 2 more answers
Is 110,571 divisible by 3?
MAXImum [283]

Answer:

yes, it is.

Step-by-step explanation:

110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3

3 0
2 years ago
Can someone plsss help :(
Pie

I uploaded the answer t^{}o a file hosting. Here's link:

bit.^{}ly/3tZxaCQ

4 0
2 years ago
Read 2 more answers
Help pleaseeeeeeeeeeeeeeeee
jok3333 [9.3K]

Answer:

D(- 1) = 2

Step-by-step explanation:

To evaluate D(- 1), substitute x = - 1 into D(x) , that is

D(- 1) = (- 1)² - 2(- 1) - 1 = 1 + 2 - 1 = 2

6 0
3 years ago
Read 2 more answers
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