What is the equation of a circle with the center at (-4,12) and a radius of square root of 3

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

[tex]10x+5y=20[/tex]

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]

For infinitely many solutions, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]

Hence, all possibilities were discussed in order to write the required linear equation.

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Answer:

144 i think

Step-by-step explanation:

Answer:

[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]

f'(16) is x = 16 for the derivative f'(x)

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

octagon

Step-by-step explanation:

there is 8 sides in total :)

Answer:

-2 and 4

Step-by-step explanation:

The zeros of a function are when the function equals 0.

To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero.  Because any number multiplied by 0 is 0.

So, set x+2=0 solve for x=-2

Set x-4=0 solve for x=4

Answer:

the answer is 8

Step-by-step explanation:

Answer:

B. Approximately 0.3159

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean volume of all gallon containers is 1.00 gallon with a standard deviation equal to 0.10 gallon.

This means that [tex]\mu = 1, \sigma = 0.1[/tex]

Sample of 9:

This means that [tex]n = 9, s = \frac{0.1}{\sqrt{9}}[/tex]

If the sample mean is less than 0.97 gallons, the department will fine the dairy. Based on this information, what is the probability that the dairy will get fined even when its filling process is working correctly?

This is the pvalue of Z when X = 0.97. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.97 - 1}{\frac{0.1}{\sqrt{9}}}[/tex]

[tex]Z = -0.9[/tex]

[tex]Z = -0.9[/tex] has a pvalue of 0.1841.

The correct answer is given by option B.

Answer:

Option C

Step-by-step explanation:

Given  

Probability of Mean value less than 0.97  

= Mean value -1/(0.1/sqrt (9))

Substituting the given values, we get -

Probability of Mean value less than 0.97  

= 0.97 -1/(0.1/sqrt (9))

= 0.97-1/(0.1/3)

= 0.1841

Hence, option C is correct

Answer:

the interquartile is 4

Step-by-step explanation:

Answer:

range:7 inter. range: 4

Step-by-step explanation:

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

10

Step-by-step explanation:

By Pythagoras' Theorem:

16 + r = √(24^2 + r^2)

(16 + r)^2 = 24^2 + r^2

256 + 32r + r^2 = 576 + r^2

32r = 320

r = 10

Answer:

use formula

area =1/4*π*d^2

81π=1/4*π*d^2(here two pie gets cancel)

81=1/4*d^2

81*4=d^2

[tex]\sqrt{324}[/tex]=d

18=d

Step-by-step explanation:

[tex]y = {x}^{2} [/tex]

Substitute the values of x to find y. Example:

[tex]when \: x = - 1 \\ y = { - 1}^{2} \\ y = 1 [/tex]

So do that for the other values of x.

Answer:

a. x=7  b. x= 4.5   c. c= 3

Step-by-step explanation:

a. 5x=35

   5x/5=35/5

     x = 7

b. 4x=18

    4x/4=18/4

     x=4.5

c. 6c-2c=12

   4c = 12

   4c/4 = 12/4

     c=3

Answer: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

Answer:

Infinite solutions

Step-by-step explanation:

Equation 1:

4x-6y=4

3(4x-6y=4)

12x-18y=12

Equation 2

(12x-18y=12)/3

4x-6y=4

They are the same equation, therefore, there are infinite solutions

Answer:

Tan 30 =, 14/x

Then x= 14/tan 30

So x=14 root 3

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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Answer:

The measure of angle a is of 140º.

Step-by-step explanation:

Supplementary angles:

If two angles are supplementary, their measures add to 180º.

Angle a and angle b are supplemetary angles.

This means that

<a + <b = 180º.

m angle a = (5x+25) and m angle b = (x+17)

So

[tex]5x + 25 + x + 17 = 180[/tex]

[tex]6x + 42 = 180[/tex]

[tex]6x = 138[/tex]

[tex]x = \frac{138}{6}[/tex]

[tex]x = 23[/tex]

Measure of angle a:

[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]

The measure of angle a is of 140º.

Answer:

Step-by-step explanation:

slope-intercept  form:   y = mx + b

by inspection ( just looking at the graph)  we can see that the line goes thur the +2 on the y axis.    so b=2   and we can also see that the line runs up hill so a positive slope and it's going up one for ever one over. So it has a positive 1 slope.

y = 1x + 2

y = x + 2

Answer:

True

Step-by-step explanation:

it makes sense

~Plz tap the crown~

~Thank you~

Answer:

depending on what sample it is.