If the pattern shown continues, how many black keys appear on a pipe organ with a total of 120 keys? Suggestion: use equivalent ratios or a rate table to rationalize your answer.
HURRYYYYY I NEEDDD HELP

Answer:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{7}{2}x - 16[/tex]

Required

The difference quotient for h

The difference quotient is calculated as:

[tex]\frac{f(x + h) - f(x)}{ h}[/tex]

Calculate f(x + h)

[tex]f(x) = \frac{7}{2}x - 16[/tex]

[tex]f(x+h) = \frac{7}{2}(x+h) - 16[/tex]

[tex]f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16[/tex]

The numerator of [tex]\frac{f(x + h) - f(x)}{ h}[/tex] is:

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16[/tex]

Collect like terms

[tex]f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16[/tex]

[tex]f(x + h) - f(x) = \frac{7}{2}h[/tex]

So, we have:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h[/tex]

Rewrite as:

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}[/tex]

[tex]\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}[/tex]

Answer:

It is A.

Step-by-step explanation:

Just took the test

Answer:

C

Step-by-step explanation:

Answer:

4.16%/ year

Step-by-step explanation:

Answer:

BC = 6.9

Step--step explanation:

Reference angle = 30°

Adjacent = BC

Hypotenuse = 8

Apply trigonometric function, CAH:

Cos 30° = Adj/Hypotenuse

Cos 30° = BC/8

8*Cos 30° = BC

6.92820323 = BC

BC = 6.9 (to the nearest tenth)

Answer:

8

Step-by-step explanation:

If p is  inversely proportional to Q and P is 6 when q = 4, then;

p = k/q

6 = k/4

k = 6*4

k = 24

To get P when q = 3

Recall;

p = k/q

p = 24/3

p = 8

Hence the required value of p is 8

Note that the value of initial Q was assumed

Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:

24.6 ft

Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

a^2 + (22 ft)^2 = (33 ft)^2

a^2 + 484 ft^2 = 1089 ft^2

a^2 = 605 ft^2

a = 24.6 ft

Answer: 24.6 ft

Answer:

100,000

Step-by-step explanation:

So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.

When doing division and multiplcation with exponents, you subtract and add.

So, we have [tex]\frac{3*10^6}{3*10^1}[/tex]

The 3, that doesnt have a exponent on top or bottom, cancels out:

So now we have [tex]\frac{10^6}{10^1}[/tex]

Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:

So we have [tex]10^5[/tex]

When you distrubute the ^5, you get:

100,000

So this is how many times bigger 3* [tex]10^6[/tex] is than 3*[tex]10^1[/tex]

HOpe this helps! :D

Answer:

5 yards

Step-by-step explanation:

3 feet is one yard. add 4 yards and 1 yard and it is five yards.

Answer:

The standard form of the ellipse is [tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex].

Step-by-step explanation:

The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:

[tex](h, k) =\frac{1}{2}\cdot V_{1} (x,y) + \frac{1}{2}\cdot V_{2} (x,y)[/tex] (1)

If we know that [tex]V_{1} (x,y) = (4,0)[/tex] and [tex]V_{2}(x,y) = (4, 14)[/tex], then the coordinates of the center are, respectively:

[tex](h,k) = \frac{1}{2}\cdot (4, 0) + \frac{1}{2}\cdot (4,14)[/tex]

[tex](h,k) = (2,0) + (2, 7)[/tex]

[tex](h, k) = (4, 7)[/tex]

The length of each semiaxis is, respectively:

[tex]a = \sqrt{(1 - 4)^{2}+(7-7)^{2}}[/tex]

[tex]a = 3[/tex]

[tex]b = \sqrt{(4-4)^{2}+(0-7)^{2}}[/tex]

[tex]b = 7[/tex]

The standard equation of the ellipse is described by the following formula:

[tex]\frac{(x-h)^{2}}{a^{2}}+ \frac{(y-k)^{2}}{b^{2}} = 1[/tex]

Where:

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the ellipse.

[tex]a[/tex], [tex]b[/tex] - Length of the orthogonal semiaxes.

If we know that [tex]h = 4[/tex], [tex]k = 7[/tex], [tex]a = 3[/tex] and [tex]b = 7[/tex], then the standard form of the ellipse is:

[tex]\frac{(x-4)^{2}}{9} + \frac{(y-7)^{2}}{49} = 1[/tex]

Answer:

x³ - 1 = 12x

Step-by-step explanation:

A number cubed decreased by 1 is equal to the product of the number and 12

x³ - 1 = 12x

Answer:

3.75 or 3 3/4

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

1.5/.4=3.75

Answer:

[tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]

[tex]\frac{3}{2}[/tex] ×  [tex]\frac{5}{2}[/tex]

[tex]\frac{3 times 5 }{2 times 2}[/tex]

[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]

Answer:

1/8 miles

Step-by-step explanation:

You have to subtract [tex]\frac{3}{4}- \frac{5}{8}[/tex]  for the answer.

First, you gotta make 3/4 have a common denominator.

To do this multiply 3/4 by 2/2 (2/2 equals one, so value isn't changed.)

and you get 6/8.

Then you can subtract 6/8 - 5/8 to get 1/8 miles.

And there's no need to simplify 1/8.

Answer:

1215

Step-by-step explanation:

If you have a 25% or 1/4 increase, this would mean that you divided the total number of students and add the quotient to the main thing.

So: 972 divided by 1/4 = 972/4 = 243.

972 + 243 = 1215.

Answer:

1215 Students

Step-by-step explanation:

25% is equal to 1/4 correct? (It is :D) So divide 972/4 to know what 25% of the school's population is. 972/4 = 243. So then 243 is 25% of the students. To get the 25% increase add 972 (for the students that will be back next year) and 243 (for the new students). I may have explained this in a really detailed way but it isn't that hard when you think about it!

1. 972/4 (to find 25%)

2. 25% = 243

3. 974 + 243 (old + new)

4. 1215 Students

Answer:

first

Step-by-step explanation:

A= r*pi*r = pi*r²

Answer:

A.

Step-by-step explanation:

The rearranged segments form a rectangle with length (pi)r and width r.

A = LW

A = (pi)r * r

A = (pi)r^2

Answer: A.

9514 1404 393

Answer:

  228 km

Step-by-step explanation:

Traveling 3 hours at 76 km/hour, the train covers a distance of ...

  distance = speed × time

  distance = (76 km/h)(3 h) = 76×3 km = 228 km

Answer:

21:25

Step-by-step explanation:

9:25 p.m. would be written as 21:25 in 24 hour time, since you simply add 12 to the hours.

Answer:

12inches

Step-by-step explanation:

Answer:

Yeahhhh!! the critical value

Step-by-step explanation:

Answer:

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Step-by-step explanation:

Given:

Total number of sections filled = 3¹/₂ = 7 / 2 sections

Number of fraction parents watching play = 3/5

Find:

Fraction[Total number of sections filled filled with parents]

Computation:

Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play

Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]

Fraction[Total number of sections filled filled with parents] = 21 / 10 sections

Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section

Answer:

A. P = 29.7 m

Step-by-step explanation:

6 + 8 = 14

Now for the diameter of the half circle.

Hypotenuse² = Height² + base²

6² + 8²

36 + 64 = 100

√100 = 10

C = 2πr = 2 · π · 5

≈ 31.42

31.42 ÷ 2 = 15.71

15.71 + 14

29.71

29.71 m ≈ 29.7 m

Answer:

Step-by-step explanation:

x = 7, y = -3     2x + 2y

2 (7) + 2 (-3) = 14 - 6 = 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

61 seconds

Step-by-step explanation:

Answer:

23 seconds

Step-by-step explanation:

The slowest time is 23 second and the fastest time is 61 seconds

The time before the bar is the tens place and each time after the bar is the ones place

The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

Polygon ABCDE is similar to the Polygon FGHIJ.

Then the scale factor is given as,

Scale factor = 27 / 6

Simplify the equation, then we have

Scale factor = 27 / 6

Scale factor = 9 / 2

The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Answer:

Step-by-step explanation:

the graph will move 3 units to the right

graph 4 I think, although cannot see the picture well

Answer:

Step-by-step explanation:

The -3 translates the graph of x^3 3 units to the right.

Answer:

Corrie = 5 ft.  2 in.

Jennifer = 4 ft.  6 in.

Step-by-step explanation:

If you convert Jason's height to inches then it would be 57 in.

4 x 12 = 48 in.     48 + 9 = 57 in.

To find Corrie's height you just have to add 5 inches to Jason's height.

57 + 5 = 62 in.

And to find Jennifer's height you just subtract 8 inches from Corrie's height.

62 - 8 =  54 in.

Now all you need to do is convert Corrie and Jennifer's height into feet. You have to divide Corrie and Jennifer's height by 12 inches. And if there are leftover or remaining numbers once you divide, they are just inches that you add on after the feet.

Jennifer's height =  54 / 12 = 4 feet and 6 inches are left over.

Corrie's height = 62 / 12 = 5 feet and 2 inches are left over.

Answer:

[tex]Pr = 0.6[/tex]

Step-by-step explanation:

Given

Let

[tex]O \to Orange[/tex]

So:

[tex]P(O) = 25\%[/tex] --- probability of O

[tex]n=2[/tex] --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

[tex]P(O') = 1 - P(O)[/tex]

[tex]P(O') = 1 - 25\%[/tex]

Express as decimal

[tex]P(O') = 1 - 0.25[/tex]

[tex]P(O') = 0.75[/tex]

On two spins, the probability that it will not land on orange is:

[tex]Pr = P(O') * P(O')[/tex]

So, we have:

[tex]Pr = 0.75* 0.75[/tex]

[tex]Pr = 0.5625[/tex]

[tex]Pr = 0.6[/tex] --- approximated