Question 10 of 10 A consequence of inaccurate or biased news is that: A. registered voters will know how to vote fairly. B. news information will ultimately stop existing. C. citizens will be given misinformation. D. citizen journalists will stop reporting the news. SUBMIT​

The height of the pile is changing at a rate of approximately 0.001463 ft/min when the pile is 22 feet high.

To solve this problem, we need to find the rate at which the height of the pile is changing, which is represented by dh/dt.

Given:

The sand is falling off at a rate of 16 cubic feet per minute.

The diameter of the base of the cone is approximately three times the altitude.

Let's denote the height of the pile as h and the radius of the base as r.

We are given that the diameter of the base is approximately three times the altitude, so we have:

2r ≈ 3h

r ≈ (3/2)h

The formula for the volume of a cone is:

V = (1/3)πr²h

We can express the volume as a function of h:

V(h) = (1/3)π[(3/2)h]²h

V(h) = (1/3)π(9/4)h³

V(h) = (3/4)πh³

We know that the rate of change of volume is given by dV/dt, which is equal to 16 cubic feet per minute.

dV/dt = 16

Now, we can differentiate V(h) with respect to t using the chain rule:

dV/dt = dV/dh * dh/dt

To find dh/dt, we need to solve for it.

First, let's differentiate V(h) with respect to h:

dV/dh = (3/4)π * 3h²

dV/dh = (9/4)πh²

Now, we can rearrange the equation dV/dt = dV/dh * dh/dt to solve for dh/dt:

dV/dt = dV/dh * dh/dt

16 = (9/4)πh² * dh/dt

Now, we substitute the given value h = 22 (when the pile is 22 feet high):

16 = (9/4)π(22)² * dh/dt

Simplifying:

16 = (9/4) * 484 * dh/dt

16 = 10926 * dh/dt

To find dh/dt, we divide both sides by 10926:

dh/dt = 16 / 10926

dh/dt ≈ 0.001463 ft/min

Therefore, the height of the pile is changing at a rate of approximately 0.001463 ft/min when the pile is 22 feet high.

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Answer:

a) $7.50

b) 10 miles

Step-by-step explanation:

a)

y=mx+b

y=$29.50

x=8

m=$2.75

b=unknown

29.50=2.75(8)+b

29.50-22=22-22+b

7.50=b

Check:

2.75(8)+7.50=29.50

b)

y=$35

x=unknown

m=2.75

b=7.50

35-7.50=2.75x+7.50-7.50

27.5/2.75=2.75/2.75x

10=x

-  N = {x | x is a counting number and x ≤ 7}

-  S(81) = 9

-  P(y) and y < 18

-  E(x) and x > 0

-  C = {z | z is a pure imaginary number and Im(z) > 0}

1. Set N is the set of counting numbers less than or equal to 7.

The set N can be expressed using set-builder notation as N = {x | x is a counting number and x ≤ 7}. This means that N is a set that contains all the counting numbers (1, 2, 3, 4, 5, 6, 7) and no other numbers.

3. The number 9 is the square root of 81.

Let S(x) be the square root function. S(81) = 9. Here, S(x) represents the square root of x, and when we substitute 81 into the function, we get 9.

5. The number y is a prime and less than 18.

Let P(x) represent whether x is a prime number. We can write the statement as P(y) and y < 18. This means that the number y is a prime number and it is less than 18.

7. The number x is an even positive number divisible by 4.

Let E(x) represent whether x is an even number divisible by 4. The statement can be written as E(x) and x > 0. This means that the number x is even, divisible by 4, and it is a positive number.

9. Set C is the set of all pure imaginary numbers above the horizontal axis.

The set C can be represented as C = {z | z is a pure imaginary number and Im(z) > 0}. z represents any complex number, and Im(z) represents the imaginary part of z. The set C contains all pure imaginary numbers that have an imaginary part greater than 0, which means they lie above the horizontal axis on the complex plane.

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Answer:

25

Step-by-step explanation:

Answer:

N=1

Step-by-step explanation:

Move all terms containing  n

to the left side of the equation.

− 3 n − 7 = − 10

Move all terms not containing  n

to the right side of the equation.

− 3 n=− 3

Divide each term by  −3

and simplify.

n = 1

Answer:

43

Step-by-step explanation:

angle c=90 because it is an angle gotten from the two ends of a diameter

sum of angles in a triangle is 180

since an angle is 90 the other two angles sum up to 90

angle a =90-37=43

The line x=-1 is a vertical line that passes through the point (-1,0).

It means that a line that is vertical to it will be an horizontal line. Since the horizontal line will always have the same y coordinate and one of the points on it is (6,9), the y coordinate of every point on this line is 9.

With this information we can determine that the equation of this line is y=9.

Answer:

-15

3

Step-by-step explanation:

6x-y=-9

6x-(15)=-9

-12x-4y=0

-12x-4(3) =0

-12-12=0

Answer:

see below

Step-by-step explanation:

5(2a+2b+2c)

you must distribute the 5 among the values in parenthesis

4(x-3)

you must distribute the 4 among the values in parenthesis

Hope this helps! :)

The correct answer is d. Chi-square. The chi-square method for finding confidence intervals should be used only when the population distribution is chi-square.

The method for finding confidence intervals with the chi-square distribution is specifically designed for situations where the data follows a chi-square distribution.

The chi-square distribution is a probability distribution that arises in inferential statistics, particularly in hypothesis testing and constructing confidence intervals for categorical data.

When the data does not follow a chi-square distribution, such as when the distribution is normal, skewed, or bimodal, using the chi-square distribution for constructing confidence intervals may lead to incorrect results.

In those cases, other methods appropriate for the specific distribution should be used. The correct answer is d. Chi-square.

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Answer:

you have to "convert" the one to be set up the same as 3/10:

you subtract fractions, by having a common denominator and then subtracting the numerators.

10/10 -3/10 = 7/10

Step-by-step explanation:

i hope this helped :)

L = 16.51

Get variable onto one side of equation and simplify:

(−7.4 )+ L = 9.11

L = 9.11 + 7.4

L = 16.51

Answer:

L=16.51

Step-by-step explanation:

-7.4 +L=9.11                         remove unnecessary (    )

L=9.11 +7.4                           move constant (7.4) to the right change sign

L=16.51                                  add the numbers

Step-by-step explanation:

If you know how to do an equation like: 5x - 3 = 21

Or something formatted like that, its the exact same thing, only there's a different sign. So I believe the first one would be:

x + 3 < 5

   - 3    -3

x = 2

But I just learnt how to do this so let me know if it works :)

Also! If the number after the sign's (such as < or >) sign changes (such as -3 becomes 3 or 3 becomes -3. or even when -3 becomes 1) then you swap the sign ( < becomes > and visa versa) But this only works if it changes due to a multiplication or division. Example:

-3x >  3

(divide by -3)

x < -1

I swapped the sign. Make sense?? Let me know if it doesnt and I'll clarify

Answer:

The answer is 115.50 sq. mm.

Step-by-step explanation:

Answer:

Okay but what is the bolga basket original price?

Answer:what is the answer

tell the number pls i have to get this answer right the orignal number what is the original number

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

no

The answer is D) 78.22.

Solve for x.3(x + 8) -3 = 2(4x - 9) + 303x + 24 - 3 = 8x - 18 + 303x + 21 = 8x + 123x - 8x = 12-5x = 12x = -2.4Thus, the value of x is -2/5, which is not in the given options. Therefore, None of the above is the correct answer.21. The statement that is NOT true is A) –2/5 = 2/–5. -2/5 ≠ 2/-5.The answer is A) –2/5 = 2/–5.

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Answer:

The answer is D or 13/36

Step-by-step explanation:

Answer:

(-8,-10)

Step-by-step explanation:

Rewrite (x+8)2(x+8)² as (x+8)(x+8).

f(x)=3((x+8)(x+8))−10

Expand (x+8) (x+8) using the FOIL Method.

Apply the distributive property.

f(x)=3(x(x+8)+8(x+8))−10

Apply the distributive property.

f(x)=3(x⋅x+x⋅8+8(x+8))−10
Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply x by x.

f(x)=3(x2+x⋅8+8x+8⋅8)−10

Move 8 to the left of x.

f(x)=3(x2+8⋅x+8x+8⋅8)−10

Multiply 8 by 8.

f(x)=3(x2+8x+8x+64)−10

Add 8x and 8x.

f(x)=3(x2+16x+64)−10

Apply the distributive property.

f(x)=3x2+3(16x)+3⋅64−10

Simplify.

Multiply 16 by 3.

f(x)=3x2+48x+3⋅64−10

Multiply 3 by 64.

f(x)=3x2+48x+192−10

Subtract 10 from 192.

f(x)=3x2+48x+182

The minimum of a quadratic function occurs at x=\(-\frac{b}{2a}\) If a is positive, the minimum value of the function is f (\(-\frac{b}{2a}\)).

Substitute in the values of aa and b.

x=−\(\frac{48}{2(3)}\)

x=-8

Replace the variable x with −8 in the expression.

f(−8)=3(−8)2+48(−8)+182

Y=-10

Therefore, the minimum value is (-8,-10) but if it is asking for just the y-value it would be -10.

Answer:

\(\huge\mathfrak\pink{ here's your solution } \\ \\ im \: soo \: happy \: \)

Answer:

1/5

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

   = (3-2)/(4 - -1)

   (3-2)/(4+1)

    1/5

Answer:

f(x) means y. So basically what is x when y = -2

Step-by-step explanation:

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

Answer:

25 dollars/hour

Step-by-step explanation:

The rate of change is 25 dollars/hour

It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.

A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.

Now, consider an example;

When you wish to build a perpendicular line on a line segment, like line AB, you do the following;

A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.

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Answer:

Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185

solution :

From these we can get is;

119 = n – 66

=> n = 119 + 66

=> n = 185

So option d ) 185 is the correct answer

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Disclaimer: the question was given incomplete on the portal. Here is the Complete Question.

Question: Solve the equation 119 = n - 66 and the options are: a. 53, b.186, c. -185, d. 185

We get that the value of n is option (d) 185 for the equation n - 66 = 119.

We are given an equation:

n - 66 = 119.

An equation is an expression that has an equality sign in between.

For example: 3 x + 3 y = 6 or 7 x + 5 y = 9

We have to solve the equation to find the value of n.

First, we will add 66 to both the sides of the equation.

n - 66 + 66 = 119 + 66 .

Now simplifying the expression, we get that:

n = 119 + 66

Solving the expression to get the value of n:

n = 185

So, option (d) 185 is correct.

Therefore, we get that the value of n is option (d) 185

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Answer:

Base 6 was used

Step-by-step explanation:

Here, we want to find which number base was used for the addition calculation

We start by adding the two end numbers

4 + 5 = 9

But 3 was recorded;

That means we can have 6 as the number base( 9/6 = 1 r 3)

We still continue to verify this;

The next addition is 2+3 = 5, adding the 1 brought forward, we have 6, but 0 was recorded

6/6 is (1 r 0)

This still further corroborated the earlier assertion;

then lastly 3 + 1 + 1 (1 brought forward); 5

This was recorded directly to show that the base in question is not less than 5

Hence our base of addition is base 6

The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  \(a \div b\) = a divided in b equal parts.

WE have been given that (6×10^11)÷(3×10^15) .

Simplify;

(6×10^11)÷(3×10^15)

To solve the exponent first;

10^11 - 15 = 10^-4

Now we get;

(6 )÷(3×10^-4)

2 ×10^4 = 2 ×10 ×10×10×10

= 20,000

Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

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