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kakasveta [241]

2 years ago

15

Select the prime number 73, 74, 75, 76, 77

2 answers:

Dmitry [639]2 years ago

8 0

73 is the prime number because you can’t multiply anything to get it besides 1 and itself. 75 is incorrect because any number with five in the ones place and no decimals can be gotten by multiplying 5

Juli2301 [7.4K]2 years ago

3 0

Answer:

75 is the prime number if I am correct

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol

koban [17]

Answer:

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

Step-by-step explanation:

$\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228$

$=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}$

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

4 0

2 years ago

Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer sch

sattari [20]

Answer:

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress.

$600 + 10x ≥ $1200

Step-by-step explanation:

From the question, we are told that:

Ms. Vicker is trying to save enough money to buy her wedding dress at the cost of $1,200. She has $600 saved from her summer school job.

The amount to make up to complete her wedding dress = $1200 - $600

= $600

To make the rest of the money, Ms. Vicker plans to tutor for Sylvan at a cost of $10 per hour.

= Number of hours Ms vicker must tutor Sylvan to make $600 is calculated as:

$600/$10 = 60 hours

The inequality to determine how many hours Ms. Vicker must tutor to have enough money for the dress is written as

$600 + 10x ≥ $1200

4 0

2 years ago

Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample.

Zigmanuir [339]

Answer:

$P(E \cup F)=P(E)+P(F)$ .

Step-by-step explanation:

Given the statement

If $P(E)+P(F)=P(E \cup F)+P(E \cap F)$ , then E and F are mutually exclusive events.

If two events are mutually exclusive, they have no elements in common. Thus, P(E∩F)=0.

Therefore, the statement is always true as P(E∩F)=0

For mutually exclusive events:

$P(E \cup F)=P(E)+P(F)$ .

3 0

3 years ago

Does 8 has more factors than 9

gayaneshka [121]

*have
and yes
8 factor
1,2,4,8
9 factor
1,3,9

5 0

2 years ago

Read 2 more answers

Hi pls help will mark as brainlist

FrozenT [24]

5x^2+3xy-25x-15y= 5x^2-25x+3xy-15y=
5x(x-5)+3y(x-5)=
= (x-5)(5x+3y)

3 0

1 year ago

Read 2 more answers