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

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

Answer:

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

Answer:

216

Step-by-step explanation:

y=k÷x

k=xy

k=9×24

k=216

Answer:

7/4

Step-by-step explanation:

(4/7)^-1

We know a^-b = 1/a^b

1/ (4/7)^1

7/4

Answer:

(4/7)^-1

=1/(4/7)^1

=1÷4/7

=1×7/4

=7/4

Therefore 7/4 is equal to 1.75 as a rational number

Answer:

2000

Step-by-step explanation:

2225 to the nearest 100 is 2300 but 3

<5 so it is 2000

Answer:

79.5, 110.5, 141.5, 172.5, 203.5, 234.5

Step-by-step explanation:

Given

The attached distribution

Required

The lower class limits

To do this, we simply subtract 0.5 from the lower interval

From the attached distribution, the lower intervals are:

80.0, 111.0, 142.0, 173,0 .......

So, the lower class limits are:

[tex]80.0-0.5 = 79.5[/tex]

[tex]111.0-0.5 = 110.5[/tex]

[tex]142.0-0.5 = 141.5[/tex]

[tex]173.0-0.5 = 172.5[/tex]

[tex]204.0-0.5 = 203.5[/tex]

[tex]235.0-0.5 = 234.5[/tex]

Answer:

1.8574 hours

Step-by-step explanation:

Solve for t.

Take the natural log of both sides.

[tex] 3000 = 75000e^{-1.733t} [/tex]

[tex] 1 = 25e^{-1.733t} [/tex]

[tex] \dfrac{1}{25} = e^{-1.733t} [/tex]

[tex] \ln \dfrac{1}{25} = \ln (e^{-1.733t}) [/tex]

[tex] -3.218875 = -1.733t [/tex]

[tex] t = 1.8574[/tex]

Answer:

Below.

Step-by-step explanation:

22-8 = 14x2 = 28.

Step-by-step explanation:

x intercept=(-1,0) because the graph is passing this point on the x axis

y intercept=(0,-3)

Answer:

4th option

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis.

This is at (- 1, 0 )

The y- intercept is where the graph crosses the y- axis.

This is at (0, - 3 )

Answer:

4. x²+x

Step-by-step explanation:

the product of x(x + 1) = (x)(x) + (x)(1)

= x²+x

Answer:

(b)

Step-by-step explanation:

Given

[tex]8x + 3y = 24[/tex]

Required

The graph

First, make y the subject

[tex]3y = 24 - 8x[/tex]

Divide through by 3

[tex]y = 8 - \frac{8}{3}x[/tex]

Let x = 3

[tex]y = 8 - \frac{8}{3}*3 = 8 - 8 = 0[/tex]

Let x = 6

[tex]y = 8 - \frac{8}{3}*6 = 8 - 16 = -8[/tex]

So, we plot the graph through

[tex](3,0)[/tex] and [tex](6,-8)[/tex]

See attachment for graph

Answer:

-15.875

Step-by-step explanation:

First, we can sum up the first 5 terms.

-8 + (-4) = -12

-12 + (-2) = -14

-14 + (-1) = -15

-15 + (-1/2) = -15.5

Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have

-15.5 - 1/4 = -15.75

-15.5 - 1/8 = -15.875 as our answer

Answer:

（2,1）

Step-by-step explanation:

the graph intersects at 2 and 1

Step-by-step explanation:

let a=mangoes are delicious

b=mangoes are expensive

the symbolic form is a^b

Answer:

[tex]\sigma_1 = 0.08[/tex] --- Location 1

[tex]\sigma_2 = 0.34[/tex] --- Location 2

Step-by-step explanation:

Given

See attachment for the given data

Required

The standard deviation of each location

For location 1

First, calculate the mean

[tex]\bar x_1 =\frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x_1 =\frac{30.40+30.20+30.30+30.40+30.30}{5}[/tex]

[tex]\bar x_1 =\frac{151.60}{5}[/tex]

[tex]\bar x_1 =30.32[/tex]

The standard deviation is calculated as:

[tex]\sigma_1 = \sqrt{\frac{\sum(x - \bar x_1)^2}{n-1}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(30.40 - 30.32)^2+(30.20 - 30.32)^2+(30.30 - 30.32)^2+(30.40 - 30.32)^2+(30.30 - 30.32)^2}{5-1}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{0.028}{4}}[/tex]

[tex]\sigma_1 = \sqrt{0.007}[/tex]

[tex]\sigma_1 = 0.08[/tex]

For location 2

First, calculate the mean

[tex]\bar x_2 =\frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x_2 =\frac{30.10+30.90+30.20+30.70+30.30}{5}[/tex]

[tex]\bar x_2 =\frac{152.2}{5}[/tex]

[tex]\bar x_2 =30.44[/tex]

The standard deviation is calculated as:

[tex]\sigma_2 = \sqrt{\frac{\sum(x - \bar x_2)^2}{n-1}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{(30.10-30.44)^2+(30.90-30.44)^2+(30.20-30.44)^2+(30.70-30.44)^2+(30.30-30.44)^2}{5-1}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{0.472}{4}}[/tex]

[tex]\sigma_2 = \sqrt{0.118}[/tex]

[tex]\sigma_2 = 0.34[/tex]

Answer:

620 to the nearest ten is already rounded correctly.

Step-by-step explanation:

620 to the nearest ten is 620.

9514 1404 393

Answer:

  f⁻¹(138) = 3

Step-by-step explanation:

You want to find the value of x that makes the function have a value of 138:

  f(x) = 5x^3 +3x -6

  138 = 5x^3 +3x -6

  0 = 5x^3 +3x -144

Descartes's rule of signs tells us this has one positive real solution. The rational root theorem gives us 30 possibilities. Rewriting the equation as ...

  x^3 = (144 -3x)/5 = 28.8 -0.6x

suggests that the value of x is less than ∛28.8 ≈ 3.065. Trying x=3, we find that to be a solution.

  (5x² +3)(x) -6 = 0 . . . . rewrite of the above equation

  (5·3² +3)·3 -144 = (48)(3) -144 = 0 . . . . true

Then ...

  f⁻¹(138) = 3

_____

The answer is found easily using a graphing calculator. The solution is the x-intercept of 138 -f(x) = 0.

Answer:

sjsjsuduhr r ki snsbtsuwi 3 38yv4r djvs

Answer:

The probability of observing between 43 and 64 successes=0.93132

Step-by-step explanation:

We are given that

n=100

p=0.50

We have to find the probability of observing between 43 and 64 successes.

Let X be the random variable  which represent the success of population.

It follows binomial distribution .

Therefore,

Mean,[tex]\mu=np=100\times 0.50=50[/tex]

Standard deviation , [tex]\sigma=\sqrt{np(1-p)}[/tex]

[tex]\sigma=\sqrt{100\times 0.50(1-0.50)][/tex]

[tex]\sigma=5[/tex]

Now,

[tex]P(43\leq x\leq 64)=P(42.5\leq x\leq 64.5)[/tex]

[tex]P(42.5\leq x\leq 64.5)=P(\frac{42.5-50}{5}\leq Z\leq \frac{64.5-50}{5})[/tex]

[tex]=P(-1.5\leq Z\leq 2.9)[/tex]

[tex]P(42.5\leq x\leq 64.5)=P(Z\leq 2.9)-P(Z\leq- 1.5)[/tex]

[tex]P(42.5\leq x\leq 64.5)=0.99813-0.06681[/tex]

[tex]P(43\leq x\leq 64)=0.93132[/tex]

Hence, the probability of observing between 43 and 64 successes=0.93132

Answer:

6.284

Step-by-step explanation:

* means multiply

formula is arc length = radius * theta

theta is fancy way of saying

make degrees into radians

you have to make 60 degrees into radians

you do that by

60 * Pi/180 = Pi/3

then you multiply that with the radius

6 * Pi/3 = 2 * Pi = 6.284

Step-by-step explanation:

So, so, to attempt this, we need to use the formula :-

2 (l + b) × h ---> For Lateral surface area

2(30+30) h = 7200

2×60×h = 7200

120 × h = 7200

h = 7200/120

h = 60 cm

Now, volume = l×b×h

= 30×30×60

= 54000 cm³ is the required answer.

Hope it helps! :D

Answer:

https://www.chegg.com/homework-help/questions-and-answers/questions-23-29-use-following-information-answer-question-recent-book-noted-20-investment--q13619465

Step-by-step explanation:

this might help you

Hello,

if B ⊂ A then A∩B=B

So B={1,4,5}

As per the given value of sets, B is (1,4,5).

A set is a collection of one or multiple data.

Given,

B ⊂ A

[tex]A[/tex] ∩  [tex]B = (1,4,5)[/tex]

[tex]A[/tex] ∪ [tex]B = (1,2,3,4,5,6)[/tex]

As B ⊂ A, therefor, B is a subset of A.

Therefore, [tex]A[/tex] ∩ [tex]B = B[/tex] and [tex]A[/tex] ∪ [tex]B = A[/tex]

Hence, [tex]B = A[/tex] ∩ [tex]B = (1,4,5)[/tex].

Learn more about a set here:

https://brainly.com/question/20516078

#SPJ2

Answer:

Parallel lines are lines that never intersect because they have the same slope (m). So, this means that they only possible difference in there equations is the y-intercept (b). ... The slope in each equation is one-half, but each equation has a different y-intercept.

Answer:

[tex]\frac{3v}{a^{2}} = h[/tex]

Step-by-step explanation:

[tex]v = \frac{1}{3} a^{2} h[/tex]

[tex]3v = a^{2} h[/tex]

[tex]\frac{3v}{a^{2}} = h[/tex]

Answer:

[tex]x = \sqrt{-2} = 2i[/tex]

Step-by-step explanation:

[tex]5x^2-2=-12[/tex]

[tex]5x^2 =-10[/tex]

[tex]x^2 =-2[/tex]

[tex]x = \sqrt{-2} = 2i[/tex]

Answer:

v = ir

2 times 10 = 20v

Step-by-step explanation:

i think it is the one

Answer:

A

Step-by-step explanation:

1/2x-4=-2x-9...u vil get the ans

Answer:

The first one

Step-by-step explanation:

You just need to find the slope in the average of all the dots.

Answer:

the first option, y=3/7x-3

Step-by-step explanation:

the scatterplot begins around y=-3, so therefore the y-intercept is -3. The slope is obviously not higher than 1, so it is y=3/7x-3.

Answer:

[tex]v \cdot w = 8.0[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]|v| = |w| = 4[/tex] --- the side lengths

Required

[tex]v \cdot w[/tex]

[tex]v \cdot w = |v| \cdot |w| \cdot (cos\theta)[/tex]

From the question, we understand that v and w are sides of an equilateral triangle.

This means that:

[tex]\theta = 60^o[/tex] --- angles in an equilateral triangle

So:

[tex]v \cdot w = |v| \cdot |w| \cdot (\cos 60)[/tex]

So, we have:

[tex]v \cdot w = 4 * 4 * 0.5[/tex]

[tex]v \cdot w = 8.0[/tex]