Match the equation given in cylindrical or spherical coordinates with the verbal description of the surface it determines,
A. Plane
B. Elliptic or Circular Parabolold
C. Hall plane
D. Circular Cylinder
E. Sphere
F. Cone

Answer: 45

Step-by-step explanation:

The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

The correct answer is D.

The function f(x) has some specific characteristics as shown in the graph.

The graph of f(x) has five intercepts, as can be seen from the graph.

The intercepts of f(x) can be determined by observing where the graph of f(x) crosses the x-axis.

The function f(x) intercepts the x-axis at five different points: -6 only, -2, -1, 1, and 3 only.

At these points, f(x) = 0.
Furthermore, the graph of f(x) is increasing from -∞ to -6, then decreasing from -6 to -2.

The graph of f(x) then increases from -2 to -1, decreases from -1 to 1, increases from 1 to 3, and finally decreases from 3 to +∞.

Hence, we can deduce that the graph of f(x) has a local maximum point at x = -6, a local minimum point at x = -2, and another local minimum point at x = 3.
We can also conclude that f(x) is an odd function, meaning that f(-x) = -f(x).

This can be deduced from the symmetry of the graph about the origin.

Finally, we can see from the graph that the function f(x) is continuous everywhere except at x = -2 and x = 3.

At these points, f(x) is not defined.
The function f(x) has five intercepts at -6 only, -2, -1, 1, and 3 only.

For such more questions on intercepts

https://brainly.com/question/24212383

#SPJ8

Answer:

the answer is 3

Step-by-step explanation:

20% of 30% of 10% of 500 is 3

Step-by-step explanation:

Where the above conditions are given, the IQR for X is from 156 acres to 192 acres.

To find the interquartile range (IQR), we need to first find the first and third quartiles of the sample.

Given:

Sample size (n) = 38

Sample mean (μ) = 174

Sample standard deviation (σ) = 55

We know that the first quartile (Q1) is the 25th percentile and the third quartile (Q3) is the 75th percentile.

Using the standard normal distribution table, we can find the z-scores for Q1 and Q3:

z-score for Q1 = invNorm(0.25) = -0.6745

z-score for Q3 = invNorm(0.75) = 0.6745

Now, we can use the following formulas to find Q1 and Q3:

Q1 = μ + z-score for Q1 * (σ / sqrt(n))

Q3 = μ + z-score for Q3 * (σ / sqrt(n))

Substituting the given values, we get:

Q1 = 174 - 0.6745 * (55 / sqrt(38)) ≈ 155.52

Q3 = 174 + 0.6745 * (55 / sqrt(38)) ≈ 192.48

Therefore, the IQR for X is from 156 acres to 192 acres.

Learn more about interquartile range (IQR) at:

https://brainly.com/question/31190938

#SPJ1

It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed,  then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.

To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.

We can set up a proportion to find the time:

(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)

Let's solve for the time taken for 146 km:

(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)

Substituting the given values:

(time taken for 146 km) = 32 minutes * (146 km / 48 km)

Calculating the value:

(time taken for 146 km) ≈ 32 minutes * 3.042

(time taken for 146 km) ≈ 97.344 minutes

Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.

To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:

Additional time = 97.344 minutes - 32 minutes

Additional time ≈ 65.344 minutes

For more such information on: speed

https://brainly.com/question/24739297

#SPJ8

A simple random population that is normally distributed then the 95% confidence interval is (104.02, 111.98)

In mathematics and statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.

Given that,

Sample Mean = 108,

Standard deviation = 10,

Sample n = 25,

Degree of freedom = n-1

n - 1 = 25 - 1

n - 1 = 24.

t-value corresponding to 24 degrees of freedom and 95% confidence level is 1.990

Confidence Interval = Mean + or - Error margin

Error margin (E) = (t×sd)/√n

E = (1.990×10)/√25

E = 19.9/5

E = 3.98

Lower bound = mean - E

= 108 - 3.98

= 104.02

Upper bound = mean + E

= 108 + 3.98

= 111.98

Therefore,

A simple random population that is normally distributed then the 95% confidence interval is (104.02, 111.98)

To learn more about Confidence interval visit :

brainly.com/question/13646086

#SPJ4

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

Read more on equation of a circle here: brainly.com/question/17028215

#SPJ1

Answer:

FH = 35.64

Step-by-step explanation:

(∠A = 360 so the other angle is 40)

By law of cosines,

FH² = AH² + FA² - 2(AH)(FA) * cos(A)

= 30² + 25² - 2(30)(25) * cos(80)

= 900 + 625 - 1500 * 0.17

= 1525 - 255

FH²  = 1270

FH = √1270

FH = 35.64

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

C) \(\{x|x\neq-4 \:or \:4\}\)

Step-by-step explanation:

\(\frac{x^2+2x-8}{x^2-16}\\ \\\frac{(x+4)(x-2)}{(x+4)(x-4)}\\ \\x\neq-4 \:or \:4\)

Here, \(x\neq-4\) is a hole on the graph since \(x+4\) exists in both the numerator and denominator.

PLS MARK ME AS BRAINLIEST

Answer:

Step-by-step explanation:

First, convert yard to feet

1 yard = 3 feet, therefore

29 yards & 1 foot = 88 feet

24 yards & 2 feet = 74 feet

88 - 74 = 14 feet

If you want the answer in yard, just divide 14 by 3, the answer is 4 yards and 2 feet.

Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

\(\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\\)

Simplify,

\(\frac{2233+x}{8}=352\)

Inverse operations,

\(2233+x=2816\\\\x = 583\)

Answer:

It’s 367

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Step 1: Write down the function \(f(x)=7x^2+2x+3.\)

Step 2: Write down the limit definition of the derivative:
\(f'(x)= lim_{h0} \frac{f(x+h)=f(x)}{h} .\)

Step 3: Substitute the function \(f(x)\) into the limit definition:
\(f'(x)=lim_{h0} \frac{(7(x+h)^2+2(x+h)+3)-(7x^2+2x+3)}{h}.\)

Step 4: Simplify the expression inside the limit:
\(f'(x)=lim_{h0}\frac{7x^2+14xh+7h^2+2x+2h+3-7x^2-2x-3}{h} .\)

Step 5: Combine like terms:
\(f'(x)=lim_{h0} \frac{14xh+7h^2+2h}{h} .\)

Step 6: Factor out an \(h\) from the numerator:
\(f'(x)=lim_{h0} \frac{h(14x+7h+2h}{h} .\)

Step 7: Cancel out the \(h\) in the numerator and denominator:
\(f'(x)=lim_{h0}(14x+7h+2).\)

Step 8: Evaluate the limit as \(h\) approaches 0:
\(f'(x)=14x+2.\)

Step 9: Substitute \(x=1\) into the derivative:
\(f'(1)=14(1)+2=14+2=16.\)

The Slope of the tangent line to the curve \(f(x)=7x^2+2x+3\) at \(x=1\) would be \(16.\)

Answer:

a = 195 ; c = 615

Step-by-step explanation:

So, you want to start by forming your equations...

I will use 'c' for children and 'a' for adults for my variables

3a + 30 = c  

(this is because of the info that 30 more tickets than 3 times the amount of children's were sold than adult)

then for equation 2:

3c + 5a = 2820

(this is because of the prices of the tickets and the total money raised)

Then, plug in the equation for c

Your equation should look like:

3(3a + 30) + 5a = 2820

You get:

(9a +90) + 5a = 2820

Then:

14a = 2730

So:

a = 195 adult tickets sold

Plug in a, to find c:

3 (195) + 30 = c

585 + 30 = c

c = 615 children tickets sold

Answer:

its point b

Step-by-step explanation:

the square root of 3 rounds off to 1.7 so looking at the chart point b is closest to that

The number of pages of the album which are filled with compact discs as required is; 68.

As evident in the task content; since the album holds 500 compact discs and Each page of the album holds 5 compact discs.

It follows that there are 100 pages in the album.

Hence, since 32% of the album is empty; (100 - 32)% of the album is filled.

Therefore, the number of pages filled with compact discs is; (68/100) × 100 = 68 pages.

Read more on percentages;

https://brainly.com/question/19247356

#SPJ1

Answer:

v (m/s) a(m/s2). √. ½. 0. ¼. √. -¼. Movimiento circular y M.A.S. Un punto se mueve ... como la que se ilustra en la figura, llamada onda cuadrada. ... Movimiento Armónico Simple I. Una partícula cuya masa es de 1 g vibra con movimiento ... Multiplicando por el Periodo de oscilación del sistema T (con ... distancia de 10 m?

Step-by-sv (m/s) a(m/s2). √. ½. 0. ¼. √. -¼. Movimiento circular y M.A.S. Un punto se mueve ... como la que se ilustra en la figura, llamada onda cuadrada. ... Movimiento Armónico Simple I. Una partícula cuya masa es de 1 g vibra con movimiento ... Multiplicando por el Periodo de oscilación del sistema T (con ... distancia de 10 m?tep explanation:

Answer:

A linear relation can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

And if a line passes through the points (x₁, y₁) and (x₂, y₂), the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Now let's look at our lines.

The left one passes through the points (0, -3) and (-2, 0)

Then the slope of this line is:

a = (0 - (-3))/(-2 - 0) = 3/-2 = -(3/2)

Then the line will be something like:

y = -(3/2)*x + b

Knowing that this line passes through the point (0, -3), we know that when x = 0, we must have y = -3

Then:

-3 = (-3/2)*0 + b

-3 = b

So the first linear equation is:

y = -(3/2)*x - 3

Now let's look at the second line, this one passes through the points (0, 2) and (1, 0)

Then the slope of this line is:

a = (0 - 2)/(1 - 0) = -2

And we can write the line as:

y = -2*x + b

Knowing that this line passes through the point (0, 2), we know that when x = 0 we must have y = 0, replacing that we get:

2 = -2*0 + b

2 = b

Then the equation of this line is:

y = -2*x + 2

Now that we know both equations we can write our system as:

y = (-3/2)*x - 3

y = -2*x + 2

To solve it, we need to remember that y = y

then:

(-3/2)*x - 3 = y = -2*x + 2

(-3/2)*x - 3  = -2*x + 2

We can solve this for x.

2*x - (3/2)*x = 2 + 3

(1/2)*x = 5

x = 5((1/2) = 5*2 = 10

And to find the y-value, we need to input this x-value in one of the equations:

y = -2*10 + 2 = -20 + 2 = -18

Then the solution of the system is the point (10, -18)

Answer:

Give me the equation, graph, or the table, and I will do it pronto.

Step-by-step explanation:

Step-by-step explanation:

In general, the students increased their standardized math scores from 5th grade to 7th grade.

The students might be more familiar with the exam and they have learned more in their math classes.

Answer:

9.875

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

get a calculator

By solving the mean value theorem, the value of c in the interval (1,2) is 0.75.

Explanation:

The mean value theorem states that if a function f(x) is continuous on a closed interval [a,b] and differentiable on the open interval (a,b), then there exists at least one point c in (a,b) where the equation f'(c) = (f(b) - f(a))/(b - a) is satisfied.

For the specified interval (1,2) and given equation 1.2/x - 1.6, we can rearrange the equation to solve for c:

1.2/c - 1.6 = 0

1.2/c = 1.6

c = 1.2/1.6

c = 0.75

Therefore, the value of c in the interval (1,2) is 0.75.

To know more about the mean value theorem visit here:

https://brainly.com/question/2516082

#SPJ4

Answer:

24

Step-by-step explanation:

To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512

Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.

The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64

Now convert 3/64 to have a denominator of 512

3/64*8/8= 24/512

24/512 divided by 1/512 is 24

You can fit 24 cubes in the rectangle.

C = 2 π r

π = 3.14

2r = diameter

r = 4.5 in

C = 2 × 3.14 × 4.5

C = 28.26

Answer:

28.27433

Step-by-step explanation:

C≈28.27in Diameter

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·9≈28.27433in  Diameter

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

10x5 1/2= 55 x 4= 220 so the answer is 220in3

Step-by-step explanation:

Answer: 220 inches cubed

Step-by-step explanation:

10x5.5 equals 55. Multiply 55 by 4 and you get 220.

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

\(\frac{9}{10} -\frac{7}{10} =\frac{2}{10} =\frac{1}{5}\)