type 30 words per minute. By the end of
the year, Wayne was typing 68 words per
minute. Was this an increase or decrease?
What is the percent change?

9514 1404 393

Answer:

  2) 198°

  4) 99°

  6) 90°

Step-by-step explanation:

The relevant relations are ...

__

2) Arc WXY = 2×angle WDY = 2(99°) = 198°

__

4) Arc CLE is 2×angle CDE = 2(97°) = 194°

  Arc DE = 360° -72° -194° = 94°

  angle C = (arc DE +arc EL)/2 = (94° +104°)/2 = 99°

__

6) angle C = (360° -arc EC -arc CD)/2 = (360° -71° -109°)/2 = 90°

Answer:

2.

Given:

m arc WXY=2×99°=198°[central angle is equal to the twice of its inscribed angle]

4.Arc CLE =2x< CDE = 2×97° = 194°[central angle is equal to the twice of its inscribed angle]

again

Arc DE =360° -72° -194° = 94°[from complete turn]

and

angle C =½ (arc DE +arc EL) =½ (94° +104°) = 99°

6) angle C =½ (360° -arc EC -arc CD)

=½ (360° -71° -109°)= 90°

Answer:

Option B.

Step-by-step explanation:

Inverse function:

Suppose we have a function y = f(x). To find the inverse function, we exchange x and y on the original function, and then isolate y.

The domain of the inverse function(x values) is the range of the original function(y values).

Original function:

[tex]f(x) = \sqrt{x} - 5[/tex]

Domain is [tex][0,\infty)[/tex], and when [tex]x = 0, f(x) = -5[/tex]. So the range is [tex][-5,\infty][/tex], that is, [tex]y \geq -5[/tex]

Inverse function:

[tex]y = \sqrt{x} - 5[/tex]

Exchanging x and y

[tex]x = \sqrt{y} - 5[/tex]

[tex]\sqrt{y} = x + 5[/tex]

[tex](\sqrt{y})^2 = (x+5)^2[/tex]

[tex]y = (x+5)^2[/tex]

The inverse function is [tex]f^{-1}(x) = (x+5)^2[/tex]

Domain:

Range of the original function is [tex]y \geq -5[/tex], so the domain of the inverse function is [tex]x \geq -5[/tex]. The correct answer is given by option B.

Answer:

B. f ^ -1 (x) = (x + 5) ^ 2;

x > -5

Step-by-step explanation:

Ap e x

Answer:

He's correct its 432

Step-by-step explanation:

Answer:

24318

Step-by-step explanation:

That's all what you were asking for?

Answer:

(5,3)

Step-by-step explanation:

add the equations to eliminate to x's and get 8y=24

divide both sides by 8 to get y=3

then substitute in -2x+3(3)=-1 to solve for x

so x=5 so the solution is (5,3)

Answer:

[tex]x=5 \\y=3[/tex]

Step-by-step explanation:

[tex]-2x+3y=-1\\2x+5y=25[/tex]

Add these equations to eliminate x:

[tex]8y=24[/tex]

Then, solve [tex]8y=24[/tex] for y:

[tex]8y=24[/tex]

[tex]\frac{8y}{8} =\frac{24}{8}[/tex] (divide both sides by 8)

[tex]y=3[/tex]

Now let's find the value of x:

Substitute 3 for y in [tex]-2x+3y=-1[/tex]

[tex]-2x+(3)(3)=-1[/tex]

[tex]-2x+9=-1[/tex] (simplify both sides of the equation)

[tex]-2x+9+-9=-1+-9[/tex] (add both sides by -9)

[tex]-2x=-10[/tex]

[tex]\frac{-2x}{-2} =\frac{-10}{-2}[/tex]  (divide both sides by -2)

[tex]x=5[/tex]

Therefore, the value of x = 5 and y = 3

Answer:

The measurement of the angle is 74.65

Step-by-step explanation:

We have the adjacent and hypoteneuse; the trig function will be cosine

[tex]cos^{-1}(\frac{9}{34})\\\\=74.650[/tex]

Answer:

75°

Step-by-step explanation:

cos x = [tex]\frac{9}{34}[/tex]

cos x = 0.2647

cos[tex]^{-1}[/tex] ≈ 74.65

Answer:They are the same shape but no the same degree they are also different in size so no . They are not similar

Answer:

$1.60

Step-by-step explanation:

Amount of tax paid = percentage of tax to be paid x bill before tax

0.08 x $20 = $1.60

Answer:

(23/18)π radians

Step-by-step explanation:

180º = π radians

230º * (π/180)

(23/18)π radians

Answer:

O=4.0rad

Step-by-step explanation:

230° to radians

(pie/180°)*230

23pi/18

4.0 rad

Answer:f is sometimes positive and sometimes negative on the interval

Step-by-step explanation:

Answer:

According to the stock certificates that Kwame's grandmother gave to him, the par value of each share is $45 and the dividend rate is 6 ...

Step-by-step explanation:

correct me if I'm wrong. C:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The only graph that shows a proper vertical reflection is the one attached. (It also correctly shows the horizontal compression.)

Answer:

It's Y

Step-by-step explanation:

I got it right. Hope this helps.

Answer:i dont know maybe 699

Step-by-step explanation:dont judge cause i guessedhope its right

The amount that the person get after he home suffers $500,000 in damages is $20000.

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

[tex]150\times12=1800[/tex]

The home suffers $500,000 in damages and the deductible is of $5000. Thus, the amount remain is,

[tex]A=500000-5000\\A=495000[/tex]

The limit of the policy is $300000. Thus, the amount will be remained as,

[tex]A=495000-300000\\A=195000[/tex]

If we include the deductible amount, then,

[tex]A=195000+5000\\A=200000[/tex]

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $500,000 in damages is $20000.

Learn more about the deductible amount here;

https://brainly.com/question/5306277

Answer:

112.5

Step-by-step explanation:

He should expect 112.5 hits if he bats 450 times during the season.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

A baseball player's batting average is 0.250, which implies he hits 25% of the time he bats.

Here,

batting average = 0.250

number of times batting = 450

According to the given situation, the required solution would be as follows:

The number of hits = batting average × number of times batting

The number of hits = 0.250 × 450

Apply the multiplication operation, and we get

The number of hits = 112.5

Therefore, he should expect 112.5 hits to get.

Learn more about Multiplication operations here:

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Answer:

0.633

Step-by-step explanation:

As I understand there are 6 students

Mean=3.8

3.8/6=0.633

Not sure the question writing score or rating score.

Answer:

an odd number

Step-by-step explanation:

because it mostly contains odd number numbers

Answer:

93 degrees

Step-by-step explanation:

alternate interior angles are congruent so 39+x=132 x=93

Answer:

Step-by-step explanation:

According to Alternate Interior Angles Theorem (in a graph that shows a transversal crossing two parallel lines, the alternate interior angles are congruent), The angle that includes the sum of 39° and x° is congruent to 132°.

So: 39° + x° = 132°, and x = 93

Answer:

let the number be x

x²-2x=0

here it is your quadratic equation

The expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

A sequence is defined as an arrangement of numbers in a particular order.  A series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers.

For the given situation,

The series is 1/4 + 1/16 + 1/64 + 1/256.

⇒ [tex]\frac{1}{4}+\frac{1}{16} +\frac{1}{64} +\frac{1}{256}[/tex]

⇒ [tex]\frac{1}{4}+\frac{1}{4^{2} } +\frac{1}{4^{3} } +\frac{1}{4^{4} }[/tex]

Thus the sum of this series can be obtained by the expression,

[tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4^{n}})[/tex]

⇒ [tex]S_{n}= \lim_{n \to \infty} (\frac{1}{4})^{n}[/tex]

Hence we can conclude that the expression that defines Sn is option (A), Sn = lim n->∞ (1/4)^n is the correct answer.

Learn more about series here

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Answer:

[tex] \displaystyle 702[/tex]

Step-by-step explanation:

we are given a exponential function

[tex] \displaystyle f(x) = {3}^{x + 1} - 22[/tex]

where x represents the number and f(x) represents the amount

we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165

to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

[tex] \displaystyle m = \frac{ f(x)_ {2} - f(x)_{1} }{ x_{2} - x_{1} } [/tex]

substitute what we have:

[tex] \displaystyle m = \frac{ 2165 - 59 }{6 - 3 } [/tex]

simplify substitution:

[tex] \displaystyle m = \frac{2106 }{3 } [/tex]

simplify division:

[tex] \displaystyle m = 702[/tex]

hence, the average rate of change between 3 and 6 is 702

9514 1404 393

Answer:

  19. wrong multiplier was used, and used incorrectly; x = -324

  20. wrong multiplier was used, and used incorrectly; y = 5

Step-by-step explanation:

In each case, the equation was multiplied by the coefficient of the variable, instead of divided. In each case, the square of the coefficient was evaluated incorrectly (so the error wasn't noticed).

__

19) As described above.

  (-36)(9) = (x/9)(9)

  -324 = x

__

20) In addition to the errors described above, the variable was changed from y to x.

  15/3 = (3y)/3

  5 = y

Answer:

C) 31.2

Step-by-step explanation:

-------------------

hope it helps...

have a great day!

Lower standard deviation for chip length ensures chips are more consistent and roughly the same size, meeting quality standards.

As the quality control manager of a snack food manufacturer, I desire a higher standard deviation when measuring for the length of chips. A higher standard deviation indicates a greater variability in chip lengths.

While it may seem counterintuitive, having a higher standard deviation allows for a range of chip sizes, accommodating different consumer preferences. Some customers may prefer shorter chips, while others may prefer longer ones.

By allowing for some variation in size, the snack food manufacturer can cater to a broader customer base and increase market appeal.

Additionally, a higher standard deviation can be beneficial for marketing purposes, as it creates an impression of natural, handcrafted chips rather than mechanically uniform ones.

for such more question on standard deviation

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Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It should be right.

Answer:

1) A = 27 square units, P = 24 units; 2) 276 mm; 3) A = 8, B = 4, C = 3, D = 5, 108 square feet; 4) 5.

Step-by-step explanation:

1) The sides of the rectangle are 9, 9, 3, and 3.

2) 40 + 40 + 70 + 70 + 28 + 28

3) 32 + 6 + 6 + 24 + 40 = 108

4) 24 + 24 + 20 + 20 + 30 + 30 = 148

740/148 = 5

Answer:

Correct choice is C