If using the method of completing the square to solve the quadratic equation x^2-14x+30=0, which number would have to be added to "complete the square"?

Answer:

Cube with 10 cm

SA = 600 cm V = 1000 cm

Cube with 13 cm

SA = 1014 cm V = 2197

Step-by-step explanation:

SA = 6[tex]s^{2}[/tex]

V = [tex]s^{3}[/tex]

s = side length

Answer:

1/3

Step-by-step explanation:

if green line is 2/3

and we are to find red line

we subtract the value of the green from the total ie. the denominator which is the sum of green and red line giving us the value of red line then you can determine its slope as well.

Answer:

your answer would probably be 20 bc I times 5 then times 2 then I got 10. Then I did 10 X 2 and I got 20

Answer:A

Step-by-step explanation: The formula for finding volume is LxWxH. 21x 11 is 231, and since one side is 11 so will the other side be, and then you get 2,541 m cubed.

Answer:

2

Step-by-step explanation:

ordered pairs are

(2 , 3) = (x1 , y1)

(5 , 9) = (x2 , y2)

slope = y2 - y2 / x2 - x1

= 9 - 3 / 5 - 2

= 6 / 3

= 2

Answer:

0.425

0.5

Step-by-step explanation:

Given :

Outcome 0 1 2 3 4 5 6 7 8 9

Number of Trials 4 2 5 3 2 6 6 3 6 3

The experimental probability of obtaining an odd number :

Odd outcomes are : 1, 3, 5, 7, 9

Total number of trials = Σ(4 2 5 3 2 6 6 3 6 3) = 40

Total number of odd outcomes = (2+3+6+3+3) = 17

Experimental probability = number of prefferwd outcomes / total number of trials

Experimental P(odd). = 17 / 40 = 0.425

The theoretical probability of getting an odd number :

Required outcome / Total possible outcomes

Number of odd values / total number of values

5 / 10 = 1/2

Answer:

0.510

0.500

Step-by-step explanation:

part c) = A

name me brainiest

Answer:

D. 0.85

Step-by-step explanation:

The data points in the scatter plot are closer to each other along the line of best fit, this means that there is a strong positive association between minutes and distance and therefore, the correlation coefficient would be relatively closer to 1.

The correlation is positive since both variables tend to increase together in the same direction.

Therefore, the best estimate of the correlation coefficient out of the given options would be 0.85

Answer:

[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]

Step-by-step explanation:

The following formula can be utilized for this question:

[tex]N = N_o (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\\frac{N}{N_o} = (\frac{1}{2})^{\frac{t}{t_{1/2}} } \\\\[/tex]

where,

[tex]\frac{N}{N_o}[/tex] = ratio of the remaining amount to the original amount = ?

t = tme passed = 6 days

[tex]t_{1/2}[/tex] = half-life = 13 days

Therefore,

[tex]\frac{N}{N_o} = (\frac{1}{2} )^{\frac{6\ days}{13\ days} }\\\\[/tex]

[tex]\frac{N}{N_o} = 0.726 = 72.6\%[/tex]

Answer:

48

Step-by-step explanation:

the answer is 48 I got this answer by multiplying 5 by 10 and subtracting is from 2 which gives me 50 - 2 which is 48

Answer:

48

Step-by-step explanation:

5×10-2=50-2

=48

hope it helps!!

Answer:

43.5 % decrease

Step-by-step explanation:

Take the original price and subtract the new price

850-480

370

Divide by the original price

370/850

.435294118

Change to percent form by multiplying by 100

43.5294118 % decrease

43.5 % decrease

Answer:

15 8/9 pounds of 24%

28 1/9pounds of 60%

Step-by-step explanation:

x = pounds of 24%

44 - x = pounds of 60%

24x + 60(44  - x) = 47(44)

24x + 2640 - 60x = 2068

-36x + 2640 = 2068

-36x = -572

x = 15 8/9

44 - x = 28 1/9

Rounded

15 8/9 pounds of 24%

28 1/9pounds of 60%

ok check image file in the image is answers with color code

Answer:

B.

Step-by-step explanation:

The equation of a circle with center at (h, k) and radius r is

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

We have center at (-5, 0). That makes h = -5, and k = 0.

The radius is 3, so r = 3.

[tex] (x - (-5))^2 + (y - 0)^2 = 3^2 [/tex]

[tex] (x + 5)^2 + y^2 = 9 [/tex]

Answer: B.

Answer:

B

Step-by-step explanation:

The equation of a circle has the form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h, k) is the center of the circle and r is the radius.

From the graph, we can see that the center of the circle is at (-5, 0). So, (h, k) is (-5, 0), where h = -5 and k = 0.

And by counting, we can determine that the radius of the circle is three units. Hence, r = 3.

Substitute the information into the equation:

[tex](x-(-5))^2+(y-(0))^2=(3)^2[/tex]

Simplify. Therefore, our equation is:

[tex](x+5)^2+y^2=9[/tex]

Our answer is B.

Answer: d

Step-by-step explanation:

edge 2020

Answer:

Eighty thousand

Step-by-step explanation:

Look at the place value chart.

Answer:

7w - 14

if w = 9

7(9) - 9

63 - 9

w=57

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

[tex]A=w\ell[/tex]

Where w is the width and l is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to t, where w and l are both functions of t:

[tex]\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell][/tex]

By the Product Rule:

[tex]\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w[/tex]

Since we know that dl/dt = 6 and that dw/dt = 5:

[tex]\displaystyle \frac{dA}{dt}=5\ell + 6w[/tex]

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

[tex]\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}[/tex]

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Answer:

A

Step-by-step explanation:

Well I am not fully sure but I would say A

Answer:

Tuesday's z-score was of -1.325.

The percentile rank of sales for this day was the 9.25th percentile.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

A department store, on average, has daily sales of $21,000. The standard deviation of sales is $3600.

This means that [tex]\mu = 21000, \sigma = 3600[/tex]

On Tuesday, the store sold $16,230 worth of goods. Find Tuesday's z score.

This is Z when X = 16230. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16230 - 21000}{3600}[/tex]

[tex]Z = -1.325[/tex]

Tuesday's z-score was of -1.325.

What is the percentile rank of sales for this day

This is the p-value of Z = -1.325.

Looking at the z-table, this is of 0.0925, and thus:

The percentile rank of sales for this day was the 9.25th percentile.

Answer:

We do not reject the Null Hypothesis

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=23[/tex]

Population mean [tex]\mu=9.02cm^3[/tex]

Sample mean [tex]\=x=8.16[/tex]

Standard deviation [tex]\sigma=0.7cm^3[/tex]

Significance level [tex]\alpha =0.01[/tex]

Generally the Null and and alternative Hypothesis are as follows

 [tex]H_0:\mu=9.02cm^3[/tex]

 [tex]H_a:\mu<9.02cm^3[/tex]

Therefore t critical Value is

 [tex]t\ critical\ Value=(\alpha,df)[/tex]

 [tex]t\ critical\ Value=(0.01,22)[/tex]

Where

  [tex]df=n-1\\\\df=23-1=>22[/tex]

Therefore

From t Table

 [tex]t value=-2.8[/tex]

Generally the equation for Z Critical is mathematically given by

 [tex]t=\frac{\=x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

 [tex]t=\frac{8.16-9.02}{\frac{0.7}{\sqrt{23} } }[/tex]

 [tex]t=-5.89[/tex]

Therefore

Since the t test statistics is greater than the Critical value

Hence,we do not reject the Null Hypothesis

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

[tex]x=\frac{2±\sqrt{7} }{3}[/tex]

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

[tex]3x=\frac{1}{x} +\frac{x(-4)}{x}[/tex]

[tex]3x=\frac{1+x(-4)}{x}[/tex]

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

[tex]x(3x)=x(\frac{1-4x}{x})[/tex]

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

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

a = 3

b = 4

c = - 1

[tex]x=\frac{-4±\sqrt{4^{2}-4((3)(-1)) } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{16-4((3)(-1)) } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{16+12 } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{28 } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{(2)(14) } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{(2)(2)(7) } }{2(3)}[/tex]

[tex]x=\frac{-4±\sqrt{2 } \sqrt{2}\sqrt{7} }{2(3)}[/tex]

[tex]x=\frac{-4±2\sqrt{7} }{2(3)}[/tex]

[tex]x=\frac{-4±2\sqrt{7} }{6}[/tex]

Two separate equations

[tex]x=\frac{-4+2\sqrt{7} }{6}[/tex]

[tex]x=\frac{2+\sqrt{7} }{3}[/tex]

[tex]x=\frac{-4-2\sqrt{7} }{6}[/tex]

[tex]x=\frac{2-\sqrt{7} }{3}[/tex]

Step-by-step explanation:

V≈3323.42cm³

r Radius

11.2

cm

h Height

25.3

cm

Solution

V=πr2h

3=π·11.22·25.3

3≈3323.41966cm³

hope it is helpful

Answer:

9:4 4:13

Step-by-step explanation:

Answer:

a) 9:4  b) 13 : 9

Step-by-step explanation:

13 = total

4 = green

13-4   ( which Is 9) = red

Ratio of red apples to green apples?

9:4

RATIO of all apples to red

13: 9

Answer: 5,508 m3

Step-by-step explanation:  V= 18 x 17 x 18 = 5,508 m3

Answer:5, 508

Step-by-step explanation:

V 18×18×17=5,508

Answer:

61.2%

Step-by-step explanation:

because i just did it and got it right

Answer:

The answer is "Option a".

Step-by-step explanation:

Dispute C comes under factual dispute because the words Vacaville or Victorville are two different places and they are arguing about the fact that's why option a is correct.