\boxed{ \rm{ \pink{ \displaystyle \: QUESTION....}}}
By what number must we multiply [tex]\boxed{162}[/tex] to make it a perfect square.​

using simultaneous equation:

2x + 3y = 190

3x + y = 180  * 3

Then:

2x + 3y = 190

9x + 3y = 540

--------------------

-7x = -350

x = 50

Insert this in equation 1 to find value of y:

2x + 3y = 190

2(50) + 3y = 190

3y = 190 - 100

3y = 90

y = 30

expanding the following:

→ (x + 2)³

[tex]\sf apply \ cubic \ formula : \bold{\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3}[/tex]

[tex]\rightarrow \sf x^3+3x^2\cdot \:2+3x\cdot \:2^2+2^3[/tex]

[tex]\rightarrow \sf x^3+6x^2+12x+8[/tex]

Justify for x = 5

[tex]\rightarrow \sf (5)^3+6(5)^2+12(5)+8[/tex]

[tex]\rightarrow \sf 125+150+60+8[/tex]

[tex]\rightarrow \sf 343[/tex]

Answer:

Step-by-step explanation for (a):

First use system of equations. Isolate a variable and substitute.

2x + 3y = 190

3x + y = 180

Isolate

subtract 3x from both sides of the second equation

y = 180 - 3x

since 180 - 3x = y, you can substitute this into the first equation for y

Substitute

2x + 3y = 190

2x + 3(180 - 3x) = 190

Distribute the 3

2x + (540 - 9x) = 190

Solve for x

subtract 540 from both sides

2x - 9x = -350

simplify

-7x = -350

divide each side by -7

x = 50

But you still need to solve for y, so substitute the x back into the first equation.(But really you could use either equation)

2(50) + 3y = 190

subtract 100 (2 * 50) from both sides

3y = 90

y = 30

Check your work by resubstituting.

3(50) + 30 = 180.

(b) This one is weird.

(Remember, it is NOT (x^3 + 8), you don't "distribute" the exponent)

It then simplifies to x^3 + 6x^2 + 12x + 8, and x = 5 is NOT an answer here. Maybe there is something more that you might not have screenshotted?

*edit its not asking to prove x is a solution(which i thought lolllll) its asking to plug x = 5 into the equation*

Answer:

180 sq cm

Step-by-step explanation:

Square 1 formed on hypotenuse of the triangle, squares 2 and 3 are formed on the perpendicular legs of the triangle. Thus, by Pythagoras Theorem, A(square 1) will be equal to the sum of the areas of (square 2) and (square 3).

[tex]\implies A(square \:1) =A(square \:2)+A(square \:3) \\ \\ \implies \: A(square \:1) =100 + 80\\ \\ \implies \: A(square \:1) =180 \: {cm}^{2} [/tex]

Answer:

6

Step-by-step explanation:

1/2 of 12 is 6

Zeke ate twice as much as Niko, so he ate 12 and Niko ate 6.

This makes 18 cookies eaten in total.

Answer:

The answer is c. the predators become the limiting factor for the pheasants in that environment.

Step-by-step explanation:

edg aswer

Answer:

-46

Step-by-step explanation:

check the picture sent above.

Answer:

[tex]\huge\boxed{\boxed{-46}}[/tex]

Step-by-step explanation:

Hello.

In order to solve this, we need to plug in the values of the variables:

p(-4)³+2(9)

(-4)³ is equal to -64, and 2 times 9 is 18:

-64+18

Add:

-46

And we're done!

I hope it helps & have an outstanding day! :)

~ST2710 :)

Answer:

B

Step-by-step explanation:

[tex]E=\dfrac{1}{2}mv^{2}\\\\\\2E = mv^{2}\\\\\dfrac{2E}{m}=v^{2}\\\\\\\sqrt{\dfrac{2E}{m}}=v[/tex]

Answer: A

Step-by-step explanation:

Answer:

y = 128(4.926)^x

Step-by-step explanation:

Exponential function: y = ab^x

x = 0, y = 128

128 = ab^0

128 = a

--------------------

a = 128, y = 371,293, x = 5

371,293 = 128 x b^5

b^5 = ( 371,293 / 128 )

b = (fifth root) 5^√2900.7265625

b ≈ 4.926

----------------------------------------

y = 128(4.926)^x

I hope this helps!

Answer:

That is correct!

Step-by-step explanation:

The answer to 1.05 x 2.8=2.94

Priya's method makes sense because it also equals 2.94 in the end.

:)

Answer:

true

false

true

Step-by-step explanation:

Hope this helps! Pwease mark me brainliest! Have a great day!

−xXheyoXx

Answer:

[tex]x = 1, \frac{4}{3}[/tex]

Step-by-step explanation:

Factor and set each factor equal to 0

Answer:

1.2 feet

Step-by-step explanation:

30 feet* 1/25 = 6/5 feet = 1.2 feet

Answer

The diameter of the sphere is 32.6ft.

Step-by-step explanation:

mark me brainliest!!

Answer:

Step-by-step explanation:

Triangle inequality theorem: for any given triangle, the sum of two sides of a triangle is always greater than the third side.

side 1 ----Your position-library

side 2----- library-principal

side 3----  your position -library

The sum of 1+2 is greater than 3

Answer:

B

Step-by-step explanation:

60+15w≥115

-60      -60

15w≥55

w≥4  

60+15(4)≥115

60+60≥115

Answer:

$2,975

Step-by-step explanation:

3,500 x 15% = 525

3,500 - 525 = $2,975

she has $2,975 left after taxes.

Answer:

$17.85792

Step-by-step explanation:

$0.4544 x 39.3 = $17.85792

Michelle's  balance after 8 years is $10,790.48.

Kristen's balance after 8 years is $3,770.55.

Gabriella's balance after 8 years is $24,780.42.

Judy's balance after 8 years is $3618.62.

The person with the most money at the end of the 8 years is Gabriella. If I were to choose one of the options, I would choose Gabriella's option

The formula that can be used to determine the future value of an amount with compounding is:

FV = P (1 + r)^nm

Where:

Future value with monthly compounding = $2000 x ( 1 + 0.035/12)^(12 x 8) = $2645.18

Future value with continuous compounding =  : A x e^r x N

1000 x e^0.018 x 8 = $8,145.30

Total = $8,145.30 + $2645.18 = $10,790.48

Future value with quarterly compounding = 2500 x (1 + 0.012 / 4)^(4 x 8) = $2,751.50

Future value with quarterly compounding = 500 (1 .0225)^(8x4) = $1019.05

Total = $3,770.55

$3000 x e^0.032 x 8 = $24,780.42

Future value with exponential increase = 1050 x (1.015)^8 = $1,182.82

Future value with biannual compounding = 1950 x (1 + 0.028/2)^(8 x 2) = $2435.80

Total = $3618.62

To learn more about future value, please check: https://brainly.com/question/18760477

Answer: Below

Step-by-step explanation:

General concept is that when you divide two fractions, the fraction becomes a reciprocal, and the division sign turns into multiplication. Using this handy cheat, we do:
-5 ÷ 2/7

-5 × 7/2

-35/2

This is our answer.

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

A Line plot (dot plots) is a graph or plot that displays on a number line, showing the frequency of each value.

From the image showing the line plot below:

Number of ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long = 5 + 4 + 6 = 15

There are 15 ropes 3/8 yard long or greater than ropes that are less than 3/8 yard long

Find out more on line plot at: https://brainly.com/question/3807925

Answer:

4

Step-by-step explanation:

Answer:

C. Protector

Step-by-Step Explanation

Protractors look like this

and are used to measure angles

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(7)(6)}~~ + ~~\stackrel{rectangle}{(2)(4)}~~ + ~~\stackrel{rectangle}{(9)(7)}}\implies 21+8+63\implies 92[/tex]

Answer:

[tex]\boxed{\tt x=3,2}[/tex]

Step-by-step explanation:

[tex]\tt x^2-5x+6=0[/tex]

Find two numbers that add up to -5 and multiply to 6: (-6 and -2)

Now, rewrite the expression:

[tex]\tt (x-3)(x-2)[/tex]

[tex]\tt (x-3)(x-2)=0[/tex]

Now, Solve for x:

1)

[tex]\tt x-3=0[/tex]

[tex]\tt x-3+3=0+3[/tex]

[tex]\boxed{\tt x=3}[/tex]

2)

[tex]\tt x-2=0[/tex]

[tex]\tt x-2+2=0+2[/tex]

[tex]\boxed{\tt x=2}[/tex]

7 packs will cost 1393

Step-by-step explanation:

one pack cost 199.now 199 × 7 =1393

Answer:

a)  (6, 6)  and  (7, 4)

b)  [tex]t(n)=-2n+18[/tex]

c)  see attached

Step-by-step explanation:

From inspection of the table, we can see that as n increases by 2, t(n) decreases by 4.  Therefore, as this a directly proportional relationship, it is a linear function.

So as n increases by 1, t(n) will decrease by 2.

Therefore, the remaining two ordered pairs are:

(6, 6)

(7, 4)

We know that the function decreases by 2 each time n increases by 1, so the slope (gradient) of the linear function will be -2.

Using the point-slope formula:  [tex]y-y_1=m(x-x_1)[/tex]

(where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is a point on the line)

Given:

[tex]\implies y-16=-2(x-1)[/tex]

[tex]\implies y=-2x+18[/tex]

[tex]\implies t(n)=-2n+18[/tex]

Graphing

To find the y-intercept, substitute [tex]n=0[/tex] into the equation:

[tex]\implies t(0)=-2(0)+18=18[/tex]

Therefore, the y-intercept is (0, 18)

To find where the line crosses the x-axis, set the equation to zero and solve for n:

[tex]\implies -2n+18=0[/tex]

[tex]\implies 2n=18[/tex]

[tex]\implies n=9[/tex]

Therefore, the line crosses the x-axis at (9, 0)

Hi!

In any quadratic in the form you have given ([tex]ax^2+bx+c=0[/tex]), the discriminant is ALWAYS

[tex]b^2-4ac[/tex]

Given the quadratic formula:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

-------------------------------------------------------------------------------------------------------------

The discriminant would be the part of the equation that is under the square root.

-------------------------------------------------------------------------------------------------------------

Therefore, your answer is [tex]b^2-4ac[/tex]

Answer:No 500 minutes is about 8 hours, 1 1/2 hours for 6 days is 9 hours so no he did not stay in his limit

Step-by-step explanation: