Simplify this please
(5ab²c)^2

Answer:

When a, b, and c are real numbers, a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax2 + bx + c = 0 are unequal and not real. In this case, we say that the roots are imaginary.

If a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Discriminant is √[tex]\sqrt{b^2- 4ac }[/tex]

a ≠ 0 and the discriminant is negative, then the roots α and β of the quadratic equation ax² + bx + c = 0 are unequal and not real.

In this case, we say that the roots are imaginary.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:40 + x + 25 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 65 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 180 - 65[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 115[/tex]

I hope you understood the procedure, please let me know if you have any doubts

Hey there!

Easy word problem

Since there are 84 students total and their goal is to collect 16 cans

We multiply

=> 84 × 16 ⇒ 1,344

Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal

Answer:

you are basically given an unknown and you try to solve for it. if you need any guidance feel free to ask.

Answer:

The correct answer is 351.

Step-by-step explanation:

We will use order of operations to solve this problem. Recall that order of operations, AKA PEMDAS, states we should simplify numeric expressions in the following order:

Parentheses

Exponents

Multiplication/Division (ordered left to right)

Addition/Subtraction (ordered left to right)

Begin by evaluating the parentheses:

[tex]2+7^3+4(9-6)^2\div6\\2+7^3+4(3)^2\div6[/tex]

Simplify the exponents:

[tex]2+7^3+4(3)^2\div6\\2+343+4(9)\div6[/tex]

Multiply:

[tex]2+343+4(9)\div6\\2+343+36\div6[/tex]

Divide:

[tex]2+343+36\div6\\2+343+6[/tex]

Add:

[tex]2+343+6\\345+6\\351[/tex]

Answer:

46,656

Step-by-step explanation:

6^2x3=

6^6=

6x6x6x6x6x6=

46,656

Hope that helps!

Answer:

1458

Step-by-step explanation:

2×3^6 that is d answer

Answer:

(0,21)

Step-by-step explanation:

when you want to find the x intercept make y=0

to find the y intercept make x=0

Answer:

This would be the range, the interquartile range, the variance, and finally the standard deviation.

Step-by-step explanation:

Hope this helps you, please mark as brainlest.

If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.

Therefore, if angle B = 145, then angle E is also 145.

Answer: C) 145

Hope this helps!

Answer: 124.8

Step-by-step explanation:

Here is a Answer to your question:

12 x 10.4 = 124.8

I am sorry if this was not helpful

Hope this was helpful

Answer:

13+26=39

Step-by-step explanation:

the 7th odd number is 13 and 13th even is 26

Answer:

[tex]\displaystyle 39[/tex]

Step-by-step explanation:

[tex]\displaystyle 39 = 13 + 26 \Rightarrow 39 = 13 + 2[13][/tex]

On a hundred chart, you will see that the seventh odd number is [tex]\displaystyle 13,[/tex]and the thirteenth even number is self-explanatory, so you should know what occurs there.

I am joyous to assist you at any time.

Answer:

4

Step-by-step explanation:

Answer:

For the outside square, the diagonal is 7√2, or about 9.9 units.

For the inside square, the diagonal is 5√2, or about 7.1 units.

Step-by-step explanation:

1. 6 ounce = 1.56 $

So, 1 onuce = 1.56/6 =

2. 14 ounce = 3.36 $

So, 1 ounce = 3.36/14 =

3. 20 ounce = 5.60 $

So, 1 ounce = 5.60/20 =

Answer:

No

Step-by-step explanation:

numbers with decimals that terminate or repeat are not irrational. they are rational.

Answer:

assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right

There are 8 people can go to the amusement park.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount = $285.75

Parking = $13.75

Price of ticket per person = $34.

So, money left after paying for parking

=285.75 - 13.75

= 272

Now, number of people in amusement park

= 272/34

=8

Hence, 8 people can go to the amusement park.

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[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]

plug in the values :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: {3}^{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \:729[/tex]

Therefore, B is the Correct choice ~

・ ．━━━━━━━†━━━━━━━━━．・

Answer:

729

Step-by-step explanation:

Given expression:

[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]

Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]

[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]

[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]

Substituting x = 3 and y = -1:

[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]

[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]

[tex]\sf \implies 729[/tex]

DI AKO KRINUSHBAK SANA KAYO DIN

Answer:

D

Step-by-step explanation:

the Fundamental rule of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.

thus for the given cubic function of degree 3 there will be 3 zeros

the graph indicates a zero at x = 4 which is real

thus there will be 2 complex zeros.

that is the cubic function has 1 real zero and 2 complex zeros

Answer: 25

Step-by-step explanation:

25 * 25 = 625

Answer:

625

Step-by-step explanation:

25 times 25 equals 625

Answer:

Infinitely many solutions

Step-by-step explanation:

A.

5x + 3(x – 5) = 6x + 2x – 15

5x + 3(x) + 3(–5) = 6x + 2x – 15

5x + 3x – 15 = 8x – 15

8x – 15 = 8x – 15

This equation has infinitely many solutions.

Why? because they have the same terms on both sides of the equation, everything is the same.

B.

One property that was used to solve this equation is the distributive property 3(x – 5).

Hope this helps!

the "sum of" means we add.

So the sum of n and 12 means we add n and 12:-

n+12

or

12+n (both  of these expressions mean the same thing)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

Step-by-step explanation:

SOH CAH TOA

cos K  = 36/48 = 3/4

SIN L = 36/48 = 3/4

The trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The triangle JKL is right angled triangle.

In the triangle KL is the opposite side of angle J.

SinL = Opposite/Hypotenuse

CosK = Adjacent/Hypotenuse

Used here, this means ...

sin(L) = KL/JL = 36/60 =6/10=3/5

cos(K) = KJ/KL = 36/60 = 6/10=3/5

sin(L) and cos(K) are equal

Hence, the trigonometric ratios sin(L) is 3/5, cosK is 3/5 and sinL and cosk are equal .

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[tex]__________________________[/tex]

By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.

The volume of the sink is 512π in^3.

The blue cup is a cylinder of diameter = 4 in and a height = 8 in, then its volume is:

V = π*(4in/2)^2*8in = 32π in^3

The number of times that he needs to use this cup is given by:

N = (512π in^3)/(32π in^3) = 512/32 = 16

He needs to use 16 times the blue cup.

The green cup has a diameter = 8in and a height = 8in, then its volume is:

V' =π*(8in/2)^2*8in = 128π in^3

The number of times that he must use this cup is:

N' = (512π in^3/ 128π in^3) = 512/128 = 4

He needs to use 4 times the green cup.

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The trigonometric ratio will be Cos(n)=12/13

Given is a Right triangle LMN with right angle at M i.e. angle M = 90 degrees.

Given are the sides LM = 15, MN = 36, and LN = 39.

It says to find cos(n) = ?

So opposite side would be LM, adjacent side would be MN, and LN is the hypotenuse.

We know that the cosine ratio is given by :-

[tex]Cos(n)=\dfrac{adjacent}{Hypotenuse}[/tex]

[tex]Cos(n)=\dfrac{MN}{LN}[/tex]

[tex]Cos(n)=\dfrac{36}{39}[/tex]

[tex]Cos(n)=\dfrac{12}{13}[/tex]

Hence the required ratio will be   [tex]Cos(n)=\dfrac{12}{13}[/tex]

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