3a(6a 2– 4ab 2 ) + 8a 2 b 2– 2b 3

Explanation:

Use the intersecting chords theorem to find x

JN*NK = MN*NL

(3x+6)*16 = (7x-11)*14

48x+96 = 98x-154

96+154 = 98x-48x

250 = 50x

50x = 250

x = 250/50

x = 5

This means,

JN = 3x+6 = 3(5)+6 = 21

JK = JN+NK = 21+16 = 37

The expression that represents the volume of the sphere is (4/3)π(6)³.

The radius of the sphere = 6 units

The volume of a sphere with radius r is 4/3πr³.

So, the volume of the given sphere with a radius of 6 units =  (4/3)π(6)³

The volume of the given sphere with a radius of 6 units =  (4/3)π*216

The volume of the given sphere with a radius of 6 units = 288π cubic units.

Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.

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Answer: B

Step-by-step explanation: edge 2023

Answer:

The correct option isn't shown on the image.  I have attached a DESMOS graph with the option listed, and added an approximate equation that comes close to the actual line.  This should aid in understanding the equations and lines.

Step-by-step explanation:

See attached image.

The one option is noted as the first equation.  I added two points from the line provided: (0,-2.5) and (3.5,0) and then approximated an equation that comes closer.  I simply chose 3x-4y=>10, and it comes close to the actual line that goes through the two given points.

To do this properly, find the equation, y=mx+b, of the given line using the two points selected:

Slope, m is rise/run:

Rise = 2.5

Run = 3.5

Slope = 2.5/3.5

y-intercept, b, is -2.5

The equation of the given line is y = (2.5/3.5)x - 2.5

We can rewrite this in the form the answer options are given, or rearrange the answer options to standard form in order to make the comparison.  

Hopefully this will help guide to the correct solution.

Answer:

B) 28.61 > 28.48

Step-by-step explanation:

A is wrong because 28 < 29

B is correct because 0.61 > 0.48

C is wrong because 29 > 28

D is wrong because 29 > 28

I hope this helps!

Answer:

132 cm cubed

Step-by-step explanation:

so if [tex]\pi[/tex] = 3

cylinder 1 =  3 x 2 x 2 x 7 = 84 cm cubed

cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed

all together = 84 + 48 = 132 cm cubed

area of this object = 132 cm cubed

Answer:

13

Step-by-step explanation:

Use the distance formula and plug in both points

Answer:

its either 11 or 13 im not sure

Step-by-step explanation:

Answer:

Answer is greater than 1

Includes Fraction

Rational

Step-by-step explanation:

Answer:

-3 = -5

-2= -4

-1= -3

0= -2

1 =.-1

Step-by-step explanation:

From the input -2 and from the output -4,

we can make an equation,

-2 + x =-4

or, x= -4 +2

or, x = -2

Again,

From the input 1 and output -1,

We can make an equation,

1 + x = -1

or, x= -1 -1

or, x= -2

Therefore, we know that x = -2

Now, putting the value of X in the following equations, we get,

Input Processing output

-3. -2. -5

-2. -2. -4

-1. -2. -3

0. -2. -2

1. -2. -1

Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

Answer:

As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).

Answer:

Step-by-step explanation:

1. Do what is inside the parantheses

[tex]4^{2} +3+2\\16+3+2 = 21[/tex]

[tex]7^{2} +3(21)[/tex]

2. Simplify both terms

[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]

3. Solve

[tex]49+63 = 112[/tex]

Answer:

the answer is 102

Step-by-step explanation:

follow the pemdas explanation

Answer:

t = 1 sec   5 meters

Step-by-step explanation:

When the object hits the ground , height = 0

   0    = (5t+5)(1-t)      so t = -1(throw out...can't have negative time value) or 1  

As the object is dropped, t = 0    sub that in to the equation

h = (5(0)+5)(1-0) = 5 meters  

Answer:

need a photo

Step-by-step explanation:

willl give correct answer if photo

Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

More about the right-angle triangle link is given below.

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#SPJ2

Answer:

B. Step 2

Step-by-step explanation:

When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.

Answer:

y = 8

Step-by-step explanation:

Hi there!

We are given the equation 5y + 2 = 42

And we want to solve it for y

To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.

So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.

5y + 2 = 42

     -2      -2

_______________

5y = 40

Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)

So to find the value of just y, divide both sides by 5

5y = 40

÷5    ÷5
________

y = 8

Hope this helps!

Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For three sets, A, B and C:

[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]

S = sample space = collection of all unique elements.

S is union of A, B and C.

[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]

Checking all the options for their correctness:

We have:

[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]

Thus, its correct.

[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]

Thus, this option is incorrect.

Thus, this option is incorrect.

[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]

Thus, its correct.

[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]

Thus, this option is incorrect.

Thus, the correct probabilities are:

Learn more about probability here:

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Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.

Refer to the attachment now.

Answer:

  A

Step-by-step explanation:

The Corresponding Angles Postulate tells you corresponding angles are congruent where a transversal crosses parallel lines.

The converse of that postulate tells you the lines are parallel if the corresponding angles at a transversal are congruent.

__

Choice A matches the proof you're asked to provide.

The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.

The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.

The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.

The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.

As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.

Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

Learn more about function;

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Answer:

D. f(x) = (x + 2)2 − 1

Step-by-step explanation:

took the test on edge :)

Answer:

it would be A.2/3

Step-by-step explanation:

I hope this helps if not please let me now

​

Answer:

Should be A

Step-by-step explanation:

Because of BIDMAS do the division first and then the multiplication.

Do :
8/9 divided by 2/3

so: 8/9 * 3/2 = 24/18

24/18 *  1/2 = 24/36

24/36 simplified is 2/3

Therefore the answer is A

Answer:

119

Step-by-step explanation:

I did the math on a calculator

Answer:

1. A,B,D,E

2. E,A,B,D,C

3.H,A,C,D

Step-by-step explanation:

Check the picture below.

Answer:

3/4 = 6/10 = 0.6

Step-by-step explanation:

cos is Division of Adjacent side by hypotenuse

Answer:

see explanation

Step-by-step explanation:

(1)

f(x) = g(x) , that is

- x² + 3x - 2 = - x + 1 ( add x to both sides )

- x² + 4x - 2 = 1 ( subtract 1 from both sides )

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

(2)

let x and y be the 2 numbers : x > y , then

x + y = 217 → (1)

x - y = 85 → (2)

add the 2 equations term by term to eliminate y

2x + 0 = 302

2x = 302 ( divide both sides by 2 )

x = 151

substitute x = 151 into (1)

151 + y = 217 ( subtract 151 from both sides )

y = 66

the 2 numbers are 66, 151

[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]

[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]

[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]

[tex] \frac{75}{4} = \\ [/tex]

[tex] \frac{72 + 3}{4} = \\ [/tex]

[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]

[tex]18 + 0.75 = [/tex]

[tex]18.75[/tex]

Answer:

Given:

Let x = number of horses that had BOTH Lyme disease and arthritis.

⇒ (112 - x) + (42 - x) + x = 140

⇒ 154 - x = 140

⇒ x = 14

Therefore, place 14 in the middle overlapping area.

To find the number to place in the left section:  42 - 14 = 28

To find the number to place in the right section:  112 - 14 = 98

Answer:

B) -5y + 3x = 7 is linear.

Step-by-step explanation:

Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.