Simplify the expression below: (3−13)2+1442−5·2

Answer:

a) -0.7854

b) 2.36

Step-by-step explanation:

Here, we want to find the value of the angles in radians

We proceed as follows;

a) arcsin( - √2/2)

= -0.7854

b) arccos(-√(2)/2

= 2.36

Answer: D

Step-by-step explanation: y=2 so 2+2=4+1=5

Answer:

if you need anything else just comment

Step-by-step explanation:

4k <_ 4 = numerical form

4k/4 <_ 4/4

k <_ 1 = work to solve

on number line there is 0,1,2. 1 has a circle that is filled in and arrow pointing towards 0. = graphed on number line

set notation = {k(vertical bar)k<_1}

interval notation = (-infinity, 1]

Answer:

0.03593

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 17,340

μ is the population mean = 15,000

σ is the population standard deviation = 1300

z score:

z = 17340 - 15000/1300

z =1.8

Probability value from Z-Table:

P(x<17340) = 0.96407

P(x >17340) = 1 - P(x<17340)

= 1 - 0.96407

= 0.03593

The probability that the life span of the monitor will be more than 17,340 hours is 0.03593

Answer:

The answer is 60

Step-by-step explanation:

all you have to do is reverse the operation, you have to do 9 x 5 then add 15 to that result and you will get the answer :)

hope this helps!

Answer:

The answer is "Option a".

Step-by-step explanation:

It Central Registry Depository for certain firms and persons active throughout the U.S. stock market is the registry operated by Finance Sector Regulation Agency since 2007. It is used for storage and maintenance with licensed shares and brokerage firms and personal information, that's why CRD is correct.

Answer:

y=(x-8)^2-71

i believe thats the correct answer

Answer:

Twice a number increased by five - 2x + 5

Five decreased by twice a number- 5 - 2x

Twice the difference of a number and five- 2(x - 5)

Twice the sum of a number and five= 2(x + 5)

Five subtracted from twice a number= 2x - 5

Twice a number, less five= 2x - 5

Step-by-step explanation:

a. Twice a number increased by 5

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2x + 5}}}}}[/tex]

b. Five decreased by twice a number

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2x - 5 }}}}}[/tex]

c. twice the difference of a number and five.

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2(x - 5)}}}}}[/tex]

d. Twice the sum of a number and five

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{2(x + 5)}}}}}[/tex]

e. five subtracted from twice a number

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{ 2x - 5}}}}}[/tex]

f. twice a number, less five

Assuming the number as x

Therefore, It's [tex]{{\underline{\textsf{\textbf{5 - 2x}}}}}[/tex]

Step-by-step explanation:

higher

Answer:

8

Step-by-step explanation:

There are a couple different ways you can solve this, but this is generally the quickest way.

Identify a pattern in the problem. We can see that [tex]1-3=-2[/tex],  [tex]5-7=-2[/tex], and so on. Subtracting every two odd numbers (without repeating any numbers) in that problem will always give us the same answer: -2.

So, we see how many pairs of odd numbers there are.

1 and 3,  5 and 7,  9 and 11,  13 and 15. We have four pairs of odd numbers. We can just multiply -2 by 4, which leaves us with an answer of -8.

Finally, since this is also an absolute value equation, the answer will be positive, so the final answer is 8.

Answer:

5 ft

Step-by-step explanation:

The answer is 5 ft because the long side is 8 ft and one portion of that side is 8 ft, and 13-8=5.

Answer:

192 km

Step-by-step explanation:

the same ratios apply to the situation

if 1 cm is 8 km, 24 cm could be calculated using ratios

1/8 = 24/x

Answer:

1. Yes 2. No 3. Yes 4. No

Step-by-step explanation: 1 is a function because none of the x values repeat, 2 isn't a function because in the x coordinates, -2 repeats, 3 is a function because if you were to draw a (vertical) line through each point, none of them have two points on one line, 4 is a function because none of the x coordinates point to more than one y coordinate

Answer:

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Step-by-step explanation:

We are going to solve the questions one by one and then write the quotients with every question.

In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.

First Expression:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]

When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.

[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]

Second Expression:

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]

Removing the division symbol

[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]

Third Expression:

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]

Removing the division symbol

[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]

Fourth Expression:

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]

Removing the division symbol

[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]

Hence,

The pairs are:

[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] =>  [tex]\frac{p^2}{9q^2}[/tex]

[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]

[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]

[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]

Answer:

The projected sales is $1007400

Step-by-step explanation:

Given

[tex]Sales = \$920000[/tex]

[tex]Increment = 9.5\%[/tex]

Required

Determine the new projected sales

Increment is calculated using:

[tex]Increment = Initial\ Value(1 + Increment\%)[/tex]

In this case:

[tex]Projected\ Sales = Sales(1 + Increment\%)[/tex]

[tex]Projected\ Sales = 920000(1 + 9.5\%)[/tex]

Convert % to decimal

[tex]Projected\ Sales = 920000(1 + 0.095)[/tex]

[tex]Projected\ Sales = 920000*1.095[/tex]

[tex]Projected\ Sales = 1007400[/tex]

Hence, the projected sales is $1007400

Answer:

x<=-1/2

Step-by-step explanation:

An inequality is a mathematical relationship that compares two unequal numbers using the number line

To solve the inequality 2x – 6 ≥ 6(x – 2) + 8

We first simplify both sides of the inequality

2x-6≥6x-12+8

2x-6≥6x-4

Add 6 to both sides

2x≥6x+2

-4x≥2

x≥2/-4

Sign changes when we divide both sides of equation by a negative sign

x<=-1/2

Therefore x is less than or equal to -1/2 on the number line

Answer:

X=80

Step-by-step explanation:

9x=320+5x

9x-5x=320

4x=320

X=320/4

X=80

So the number of girls =5×80

=400.

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

Learn more about sum from the link.

https://brainly.com/question/24205483

#SPJ2

Answer:

12

Step-by-step explanation:

Distrubute (y +2 = -3x + 12)

subtract 2 on both sides ( y +2 = -3x + 12 )

                                              -2             -2

conbine like terms (y = -3x + 10)

Answer:

4

Step-by-step explanation:

it worked, it is not 12

This question was not written properly

Complete Question

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/6, 5/3, 13/6, 8/3

Answer:

a) Common difference = 1/2

b) Fifth term = 19/6

c) nth term = 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term = 152/3

Step-by-step explanation:

We solve using the formula for arithmetic sequence

an = a1 + (n - 1)d

a1 = First term

n= nth term

d = common difference

a) Common difference = Second term - first term or Third term - second term

= d = 5/3 - 7/6

d = LCD (Lowest Common Denominator = 15

d = 5 × 6 - 3 × 7/18

d = 30 - 21/15

d = 9/18

d = 1/2

b) Fifth term =

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 5

d = 1/2

a5 = 7/6 + (5 - 1)1/2

a5 = 7/6 + (4)1/2

a5 = 7/6 + 4/2

a5 = 7/6 + 2

a5 = LCD = 6

= 7× 1 + 2 × 6/6

= 7 + 12/6

= 19/6

c) nth term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = n

d = 1/2

= 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 100

d = 1/2

a5 = 7/6 + (100- 1)1/2

a5 = 7/6 + (99)1/2

a5 = 7/6 + 99/2

a5 = 7/6 + 99/2

a5 = LCD = 6

= 7× 1 + 3 × 99/6

= 7 + 297/6

= 304/6

= 152/3

Answer:

No

Step-by-step explanation:

Using the given lengths if we say this is a right triangle then 8 would be length of hypotenuse

From the Pythagorean theorem 

8^2 = 5^2 + 7^2

64 = 25 + 49

64 = 74 is not a correct equation so the triangle is not a right triangle for the given lengths

Answer:

a)E=0.05t+34, b)E=54 dollars, c)t=600 dollars

Step-by-step explanation:

a) Alun's earn equation is

E=0.05t+34

b) when t=400, then

E=0.05(400)+34

E=20+34

E=54

c) when E=64, then

64=0.05t+34

hence

0.05t=64-34

0.05t=30

[tex]t=\frac{30}{0.05}[/tex]

t=600

Answer:

well his balance would be 0

Step-by-step explanation:

$80+$30+$20=130$

100$-130$=-30$

but in a bank account you cant spend more than you have like you can a credit card