simplify the following expression

Answer:

Square: x= +or - [tex]\sqrt{7}[/tex], Triangle: x= + or - [tex]\sqrt{23}[/tex]

Step-by-step explanation:

For the square

4[tex]x^{2}[/tex]=28

dvide by four:

[tex]x^{2}[/tex]=7

Take the square root of both sides

x= +or - [tex]\sqrt{7}[/tex]

For the Triangle

(1/2) (2x) (2x)=46

2[tex]x^{2}[/tex]=46

Divide by 2

[tex]x^{2}[/tex]=23

x= + or - [tex]\sqrt{23}[/tex]

2500 in standard form is 2.5 × 10³

Answer:

2.5*10^3

Step-by-step explanation:

Answer:

Step-by-step explanation

Answer:

15

Step-by-step explanation:

Given that the profit equation from selling x necklaces is

P = −x2 + 35x.

To make a profit of $300, the profit P = 300 then

300 = -x2 + 35x

x2 - 35x + 300 = 0

solve by factorization

x2 - 15x - 20x + 300 = 0

x(x - 15) - 20(x - 15) = 0

(x - 15)(x - 20) = 0

x - 15 = 0  or x - 20 = 0

x = 15 or 20

Since 20 is higher, the least number of her necklaces she must sell to make a profit of $300.00 is 15

Answer:

t test for the slope of regression line

Step-by-step explanation:

Suppose a random sample is drawn from the bivariate normal population and the estimated regression equation is found Y^= a +bX , where, b , the sample estimate of β1 is normally distributed with mean β and standard deviation

σyx / √∑(x-x`)².

The test statistic has  t distribution where

t= b-β/sb

where sb=  Syx / √∑(x-x`)² with υ= n-2 degrees of freedom.

It is important to note that the testing of hypothesis that β= 0 is equivalent to testing the hypothesis that variable Y is independent of the variable X in the linear sense.

The test statistic then becomes  t= b/ sb .

If we reject H0 : β= 0 we conclude that the two variables are linearly independent.

Answer:

1+sin²Θ

Step-by-step explanation:

sin[tex]\alpha[/tex](cosec[tex]\alpha[/tex]-sin[tex]\alpha[/tex])

=sin[tex]\alpha[/tex]( [tex]\frac{1}{sin \alpha }+sin\alpha[/tex])

[tex]=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha[/tex]

Answer:

8th term = 8748 , Sum of 5 terms = 484

Step-by-step explanation:

Formula for nth term in an exponential sequence = a r^ (n-1)

Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108

So,  a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108

a 3^3 = 108 →  27 a = 108 → a = 108 / 27 → a = 4

8th term = a r^ (n-1) , at  n = 8.  So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748

Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]

= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484

Answer:

Slope: [tex]-\frac{2}{5}[/tex]

Y-intercept: 2

Step-by-step explanation:

We have to isolate y;

2x + 5y = 10

5y = -2x + 10

y = [tex]\frac{-2x + 10}{5}[/tex]

y = [tex]-\frac{2}{5} x + 2[/tex]

Hope this helps!

Answer:

the correct answer for that would be identity property

Answer:

first one

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

1,800/6,000 = 0.30 -> 30%

Answer:

30%

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

[tex]a \ = \frac{l}{12} [/tex]

Answer:

ill edit this and Post the answer in a few m0ments .....

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

K. since you thought it was so funny to do it to me

Answer:

yes, by SAS

Step-by-step explanation:

cause the GI and JL are congruent and the same for HG and LK

miles per hour, blinks per second, calories per serving, steps per day and heart beats per minute.

Answer:

=> (62/3)m

Step-by-step explanation:

=> (62/3)²

=> (62)²/(3)²

=> 3844/9 m²

Answer:

427.11111

Step-by-step explanation:

This is the answer

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

Learn more about concept here:

brainly.com/question/14491091

#SPJ2

Answer:

the answer is 4.75

Step-by-step explanation:

5-0.25=4.75

Answer:

x = - 10

Step-by-step explanation:

Given

- [tex]\frac{4}{5}[/tex] x = 8 ( multiply both sides by 5 to clear the fraction )

- 4x = 40 ( divide both sides by - 4 )

x = - 10

Answer:

x= -1/10

Hope this helps

Answer:

The lateral surface area is: 1860 square feet

Step-by-step explanation:

Given

The missing dimension are:

See attachment for storage

[tex]L = 20[/tex] --- Length

[tex]W = 42[/tex] --- Width

[tex]H = 15[/tex] --- Height

Required

The lateral surface area

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 15 * (20 + 42)[/tex]

[tex]Area = 30 * (20 + 42)[/tex]

[tex]Area = 30 * 62[/tex]

[tex]Area = 1860[/tex]

Answer:

$345.60

Step-by-step explanation:

From the above question,

P = Principal = $200

R = Interest rate = 20%

T = Time in years = 3 years

n = Number of times interest is compounded = Annually = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 20/100

r = 0.2 rate per year,

Then solve the equation for A

The formula =

A = P(1 + r/n)^nt

A = 200.00(1 + 0.2/1)^(1×3)

A = 200.00(1 + 0.2)^(3)

A = $345.60

Therefore, the total amount that Molly will have in her account at the end of 3 years is $345.60

Answer:

50 miles because yahhh

Step-by-step explanation:

300 ➗ 6

Answer:

maximum value is 17.

Step-by-step explanation:

8.5=1/2(x-0)

8.5=1/2x

8.5=x/2

8.5×2=x

17=x

x=17

Answer:

12

Step-by-step explanation:

mrk me brainliest plzzzzzzzzzz

Answer:

b) 12

Step-by-step explanation:

The first image shows the top 2 numbers as 5 and 2 = 5 * 2

=> 10

The Second image shows the top 2 numbers as 3 and 3 = 3 * 3

=> 9

So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6

=>12

Therefore, the missing space in the third circle is b) 12

Hope it helps :)

Answer:

n^2

Step-by-step explanation:

cancel the common factor between n^7 and n^2

Answer:

(3,4)and r=2 is is the center and radius of the circle.