Here are two steps from the derivation of the quadratic formula.

What took place between the first step and the second step?

Answer:

Step-by-step explanation:

Answer:

320 cm²

Step-by-step explanation:

If 3 units = 12cm

Then 1 unit = 12/3 = 4cm

Formula for Area Trapezoid = height*(base1+base2)/2

Base 1 = 12

Base 2 = 7 * 4 = 28

12 + 28 = 40

40 * (4*4) = 40 * 16 = 640

640 / 2 = 320

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-Chetan K

Answer:

A = 1/2 b × h

Step-by-step explanation:

hope it helps !!!!

Answer:

The formula for the area of a triangle is 1/2bh.  

Answer:

The number of ways = 151200

Step-by-step explanation:

Below is the calculation of the number of ways:

Total number of people = 10

Total number of posts = 6

The number of ways = 10P6

The number of ways = [tex]\frac{10!}{10! - 6!}[/tex]

The number of ways = 10 x 9 x 8 x 7 x 6 x 5

The number of ways = 151200

Answer:

504 arrangements are possible

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

Arrangements of n elements, divided into groups:

The number of arrangements of n elements, divided into groups of [tex]n_1, n_2,...,n_n[/tex] elements is given by:

[tex]A_{n}^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n!}[/tex]

In this case:

9 pens, into groups of 5, 3 and 1. So

[tex]A_{9}^{5,3,1} = \frac{9!}{5!3!1!} = 504[/tex]

504 arrangements are possible

Answer:

4

Step-by-step explanation:

-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25

-11+4*4+3*-4+7*-2+25

-11+16+-12+-14+25

4

Volume of the 3d composite figure is,

(7×6×5)+(7×6×5)/3

= 210+70

= 280 cm³

Relationship between the two volumes,

Volume of the rectangular prism is 3 times the volume of the pyramid.

Answered by GAUTHMATH

Answer:

I was gonna anwer it but somone already did.

Step-by-step explanation:

Answer:

13 miles

Step-by-step explanation:

He hikes 4 mph downhill and it takes 30 minutes or 0.5 hours lesser than the trip uphill at 2 mph.

Thus, if the distance upward is x and we are told the distance downhill is 3 miles longer.

Then, since time = distance/speed, we have;

((x + 3)/4) + 0.5 = x/2

Multiply through by 4 to get;

x + 3 + (0.5 × 4) = 2x

x + 5 = 2x

2x - x = 5

x = 5 miles

Now, it means distance uphill = 5 miles and distance downhill = 5 + 3 = 8 miles

Thus, total distance covered = 8 + 5 = 13 miles

Answer:

A. 3.25x + 13.50 ≤ 40

The number of bracelets is x. It's a variable.

The 13.50 is a constant.

The total needs to be less than or equal to 40 because that's all the money he has.

Answer:

3.25x + 13.50 ≤ 40

Step-by-step explanation:

For this problem, you have to directly make the equation. Using the givens, it shows that he has only 40 dollars, and wants to buy only one hat for 13. 50. He wants to buy his friends braclets 3.25, but since you dont know how many friends its for, you will leave it as x.

There is only 40 dollars so you will use: ≤

The answer will be:

3.25x + 13.50 ≤ 40

Hope this helps.

Answer:

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

Step-by-step explanation:

We are given the following expression:

[tex]3u^2(u - 8) - 2(u - 8)[/tex]

Factoring out (u-8)

Place (u-8) to the front, and then divide each term by (u-8). So

[tex]3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)[/tex]

The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]

Answer:

(d) 7

Step-by-step explanation:

The total number of subsets that can be derived from a set with n elements is given by;

2ⁿ

Out of these subsets, there is one empty set. Therefore, the total number of non-empty subsets is given by;

2ⁿ - 1

Given:

A = {x, y, z}

Set A has 3 elements. This means that n = 3

Therefore, the total number of subsets that can be derived from set A is

2ⁿ = 2³ = 8

One of these 8 subsets is an empty set, therefore, the total number of non-empty subsets of A is;

2ⁿ - 1 = 2³ - 1

8 - 1 = 7

This can be checked by writing all the possible subsets of A as follows;

∅

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Removing the empty set ∅, the non-empty subsets of A are;

{x}

{y}

{z}

{x, y}

{y, z}

{x, z}

{x, y, z}

Answer:

[tex]A=603.18\ cm^2[/tex]

Step-by-step explanation:

The length of a blade, r = 24 cm

The sweeping angle is 120°.

We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :

[tex]A=\dfrac{\theta}{360}\times \pi r^2[/tex]

[tex]A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2[/tex]

So, the total area cleaned at one sweep of the blade is [tex]603.18\ cm^2[/tex].

Answer:

a.) m⁴n²

Step-by-step explanation:

( -m)⁴ × n ²

A negative base raised to an even powers equals a positive.

m ⁴ × n²

multiply the terms

m⁴n²

Answer:

a.) m⁴n²

Step-by-step explanation:

yea

Answer:

r= 17.73174

Step-by-step explanation:

calculations

Answer: 14 cm

Step-by-step explanation:

Rectangle:

x + x + (x - 2) + (x - 2) = 52

2x + 2(x - 2) = 52

2x + 2x - 4 = 52

4x = 52 + 4

4x = 56

x = 14

Answer:

139

Step-by-step explanation:

Since the given is a parallelogram then angle <D and angle <B are equal angles

10x - 21 = 9x - 5

10x - 9x = 21 - 5

x = 16 replace x with 16 to find the measure of angle <B

16*9 - 5 = 139

Answer:

18x2 is 36 but you have to minus it so the answer is 28.

Answer:

Probability of defective televisions : Now, If two televisions are randomly​ selected, then the probability that both televisions work. Hence, the probability that both televisions work is 0.5289 . Hence, the probability at least one of the two televisions does not​ work is 0.4711.

Answer:

1600N

Step-by-step explanation:

Force = 400 N

Angle with horizontal = 60°

Displacement in horizontal direction = 8 m

work done formula when angle is included: Force * distance * cos(angle)

400 * 8 * cos(60)

= 400 * 8 * 1/2

= 1600N

it might take 19 hours i might be wrong

Step-by-step explanation:

Answer:

25 goat and 15 chicken

Step-by-step explanation:

Say the number of goats is G, then the number of chickens is 40 - G as there are 40 heads and each chicken and each goat has one head.

The number of feet is 130

So 2(40 - G) + 4G = 130

So 80 - 2G + 4G = 130

2G = 50

G = 25

25 goats and 15 chickens

Answer:

Can not be solved

Step-by-step explanation:

5x+10y = 3............. Equation 1

10x+20y = 8 ............ Equation 2

From the equation above,

both equations can not be solved by elimination method, because both variables will be eliminated

Answer:

The 3rd

Step-by-step explanation:

If x goes to infinity, f(x) goes to infinity too:

[tex]lim \: \frac{2 {x}^{2} }{3x - 1} = lim \frac{2x}{3 - \frac{1}{x} } = \frac{ 2 \times \infty }{3 - 0} = \infty [/tex]

23/200

Hope this helps! :)

Answer:

23/2000

Step-by-step explanation:

0.0115 can be written as 115/10000

=23/2000

Please mark me as brainliest.

Answer: The answer is b

Answer:

The 14-ounce bottle is the better deal

Step-by-step explanation:

I know this beause inorder to figure out which one is better you have to make them the same price and then see which bottle has more ounces. So I made each price 1$ so there is 1.58-ounces per dollar in the 5-ounce bottle and 1.17 -ounces per dollar in the 14-ounce bottle.

Answer:

It will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

Step-by-step explanation:

We can write a half-life function to model our function.

A half-life function has the form:

[tex]\displaystyle A=A_0\left(\frac{1}{2}\right)^{t/d}[/tex]

Where A₀ is the initial amount, t is the time that has passes (in this case seconds), d is the half-life, and A is the amount after t seconds.

Since the half-life of the element is 30 seconds, d = 30. Our initial sample has nine grams, so A₀ is 9. Substitute:

[tex]\displaystyle A=9\left(\frac{1}{2}\right)^{t/30}[/tex]

We want to find the time it will take for the element to decay to 0.72 grams. So, we can let A = 0.72 and solve for t:

[tex]\displaystyle 0.72=9\left(\frac{1}{2}\right)^{t/30}[/tex]

Divide both sides by 9:

[tex]\displaystyle 0.08=\left(\frac{1}{2}\right)^{t/30}[/tex]

We can take the natural log of both sides:

[tex]\displaystyle \ln(0.08)=\ln\left(\left(\frac{1}{2}\right)^{t/30}\right)[/tex]

By logarithm properties:

[tex]\displaystyle \ln(0.08)=\frac{t}{30}\ln(0.5)[/tex]

Solve for t:

[tex]\displaystyle t=\frac{30\ln(0.08)}{\ln(0.5)}\approx109.3\text{ seconds}[/tex]

So, it will take about 109.3 seconds for nine grams of the element to decay to 0.72 grams.

Answer:

it would be 1/4(60)

Step-by-step explanation:

30 percent of 61 is 18.3 and 1/4 of 60 is 15 which is closest to 18.3

Answer:

7 brown M&Ms.

Step-by-step explanation:

This question is not complete, but I will assume that the final question is how many brown M&Ms will be in this package.

0.14 × 52 is our equation.

The answer is 7.28. We cannot have .28 of a brown M&M in a package (unless you count the broken ones) so there will be, on average, 7 brown M&Ms in a package.

(again, the question is incomplete, so this may not be the answer)