If x is the principal square root of 7, what must be true.

A. x = 7², and x is negative

B. x² = 7, and x is positive

C. x = 7², and x is positive

D. x² = 7, and x is negative ​

Answer:

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

Divide total seeds by seeds per package:

1960 / 35 = 56

56 packages can be made.

Answer:

298.

Step-by-step explanation:  

formula- n in the next term is (n+3)

basically adding three

3x100=300

-2+300=298

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

Answer:

$9000

Step-by-step explanation:

110 x 90 = 9900

90 x 10 = 900

9900 - 900 = 9000

Answer:

x=-1

Isolate the variable by dividing each side by factors that dont

contain the variable

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = [tex]x[/tex] pounds

Cost of 1 pound = $8.24

Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]

Writing the equation as per question statement:

[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]

Therefore, 5 pounds of coffee was bought.

Answer:

6.1%

Step-by-step explanation:

Amount increase=17.5-16.5

=1million

% increase= amount increase/original×100% amount

= 1/16.5×100%

= 6.1%

The percentage increase in auto sales is 6.1 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

The auto sales of the country in 2014 = 16.5 million

The auto sales of the country in 2015 = 17.5 million

The increase in auto sales in 2015 from 2014 =
Auto sales of the country in 2015 - Auto sales of the country in 2014

The increase in auto sales in 2015 from 2014 = 17.5 million - 16.5 million

                                                                           = 1 million

Now , the percentage increase in auto sales =
( Increase in auto sales / Auto sales of the country in 2014 ) x 100

The percentage increase in auto sales = ( 1 / 16.5 ) x 100

                                                                 = 6.06 %

Therefore , the percentage increase is 6.1 %

Hence , the percentage increase in auto sales if 6.1 %

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ5

Answer: 0

Step-by-step explanation:

11 + 11= 22

22 is rounded to the nearest hundredth, which is not 100, so its 0

If I knew what the figures looked like I could help you but since I don't. I'll just explain.

A: If 2/3 is a ratio provided then AD to JM might be 4 to 6

B: If 6/5 is a ratio provided then AD to JM might be 12 to 10

C: If 3/2 is a ratio provided then AD to JM might be 6 to 4

Answer:

75*1.05 = $78.75

Step-by-step explanation:

You can just multiply by 1.05 or go the long route and divide by 100 and multiply by 105.  

Answer:

roads?

Step-by-step explanation:

i think thats right

Answer:

The equation is:  9x-y = 56

Step-by-step explanation:

Given two point:  (x,y) = (-6,2)

                            (x,y) = (4,-3)

Now, to find the slope of the line:

Slope =   y1-y2/x1-x2  => 2-4/-6-(-3) = -1/9

Then, the equation of the line passing through a point:

=>   y-y1 = m(x-x1)

=>   y-2 =  -1/9(x-6)

=>  1(y-2) = -9(x-6)

=>  y-2 = -9x+54

=>  9x-y = 56

The question is incomplete. The complete question is :

The National Center for Health Statistics reports that 25% of all Americans between the ages of 65 and 74 have a chronic heart condition. Suppose you live in a state where the environment is conducive to good health and low stress and you believe the conditions in your state promote healthy hearts. To investigate this theory, you conduct a random telephone survey of 25 persons 65 to 74 years of age in your state.

Suppose only one person in your survey has a chronic heart condition. What is the probability of getting one or fewer people with a chronic heart condition in a sample of 25 if 25% of the population in this age bracket has this health problem?

Solution :

Chronic heart disease is a condition where a person's heart have trouble to pump blood to the body. It develops over a period of time.

In the context, we can see from the figures from National Center for Health Statistics that the expected number of persons of age 65 - 74 years having a chronic heart disease is about

25 % of 25 = 6.25

Now by Poisson's ratio, the probability of choosing the sample where only one person having heart disease is 1.4%

Answer:

Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon

Answer:

[tex](0,-5)[/tex]

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Point (-4, -9)

Point (4, -1)

Step 2: Find midpoint

Answer:

yes bc they all have sum to do wit eachother

Step-by-step explanation:

Answer:

The probability is P(500 < X  < 700 ) =  0.60044

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = 544[/tex]

     The standard deviation is  [tex]\sigma = 103[/tex]

Generally the percentage of applicant that scored between 500 and 700 is mathematically represented as

      [tex]P(500 < X < 700 ) = P(\frac{500 - 544}{103} < \frac{X - \mu }{\sigma } < \frac{700 - 544}{103} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

      [tex]P(500 < X < 700 ) = P(-0.4272 < Z < 1.5146 )[/tex]

=>   [tex]P(500 < X < 700 ) = P( Z< 1.5146 ) - P ( Z < -0.4272 )[/tex]

Generally from the z-table, the area under the normal curve to the left corresponding to    1.5146 and     -0.4272  is

  P(  Z<  1.5146 )  =  0.93506

   P ( Z <   -0.4272 ) = 0.33462

So

       P(500 < X  < 700 ) =  0.93506 -  0.33462

=>    P(500 < X  < 700 ) =  0.60044

Answer:

a. 0.071

b. 0.226

C. 0.4849

Step-by-step explanation:

We add up all endangered and foreign species to get 775

A.

Probability of threatened in united States.

= 10+13+22+10 = 55 divided by total species

= 55/775

= 0.070967

= 0.071

B

An endangered foreign bird

Total number of foreign birds = 175

Probability = 175/775

= 0.2258

= 0.226

C.

Please check attachment for the calculation of answer part c.

Thank you!

Answer:

21

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

9 x 2= 18

18+34= 52

52/2= 26

From the Pythagoras's Theorem, we know that:

(Hypotenuse)² = (base)² + (perpendicular)²

We are Given:

We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)

Solving for the Hypotenuse:

replacing the variables in the Pythagoras's theorem, we get:

Hypotenuse² = (m²-n²)² + (2mn)²

Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²)                  [(a-b)² = a² - 2ab - b²]

Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²

Hypotenuse² = m⁴ + 2m²n² + n⁴

Hypotenuse² = (m²)² + 2m²n² + (n²)²

Hypotenuse² = (m² + n²)²                                              [a² + 2ab + b² = (a+b)²]

taking the square root of both the sides

Hypotenuse = m² + n²

Answer:

1. <

2. >

3. >

4. =

5. <

6. <

7. >

8. >

9. >

10. <

11. >

12. <

13. <

14. =

15. =

16. =

Step-by-step explanation:

Answer:

2x^2 - 11x + 6

Step-by-step explanation:

2x^2 + 4x - 3 * (5x - 2)

Distribute -3 between the parentheses like so.

2x^2 + 4x - 15x + 6

And then add like terms 4x and 15x together.

2x^2 - 11x + 6

Answer:

$100

Step-by-step explanation:

The proportion would be [tex]\frac{60}{x} =\frac{60}{100}[/tex]. This is because you are paying for 60% of the original price and 60% is equal to [tex]\frac{60}{100}[/tex].

Answer:

(6x + 11)(x – 5)

Step-by-step explanation:

Trust me!