Customers at a yogurt shop took a survey. The results showed that 162 customers rated the shop as being "very aatisfactory". The number represented 45 of the total numbee of customers who took the survey. What was the total number of customers who took the survey?

Using trigonometric functions, it is found that the correct option regarding the appropriate function is:

B) the sine function unreflected

The most famous are the sine and cosine, which give information about the angles.

In this problem, the rider is at the bottom of the Ferris wheel at t = 0, hence f(0) = 0, which is true for the sine function, which means that option B is correct.

More can be learned about trigonometric functions at https://brainly.com/question/24680641

Answer:

Answer is C, the cosine function reflected about its midline

Step-by-step explanation:

Answer:

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

Step-by-step explanation:

First write an expression:

15 + 0.25x ≥ 50.75

Next use inverse operations:

15 + 0.25x - 15 ≥ 50.75 - 15

0.25x ≥ 35.75

0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25

x ≥ 143

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

143 cups

Step-by-step explanation:

Sheldon gets a flat $15, as well as 25 cents for each cup of coffee made.

He needs $50.75 to buy a Kayak.

Set the equation. Let the amount of cups of coffee = c.

0.25c + 15 = 50.75

Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 15 from both sides of the equation:

0.25c + 15 = 50.75

0.25c + 15 (-15) = 50.75 (-15)

0.25c = 50.75 - 15

0.25c = 35.75

Next, divide 0.25 from both sides of the equation:

(0.25c)/0.25 = (35.75)/0.25

c = 35.75/0.25

c = 143

Sheldon will need to sell 143 cups of coffee.

~

Step-by-step explanation:

65+5y=82

5y=82-65

5y=17

y=17/5=3.4

3x+23=54

3x=54-23

3x=31

x=31/3=10.3

5z+43=110

5z=110-43

5z=67

z=67/5=13.4

3x+5y+5z3.

3(3.4)+5(10.3)+5(13.4)

10.2+51.5+67

128.7

Answer:

[tex]5(x - 2) = \frac{15x + 6}{3} - 12 \\ 5(x - 2) = \frac{15x + 6 - 36}{3} \\ 5(x - 2) = \frac{15x - 30}{3} \\ 5(x - 2) = \frac{15(x - 2)}{3} \\ 15(x - 2) = 15(x - 2)[/tex]

Answer:

All real numbers

Step-by-step explanation:

Given

5(x - 2) = [tex]\frac{15x+6}{3}[/tex] - 12

Multiply through by 3 to clear the fraction

15(x - 2) = 15x + 6 - 36 ← distribute left side and simplify

15x - 30 = 15x - 30

Since both sides are equal then any real value of x will be a solution.

Thus the solution is All real numbers

Answer:

$16

Step-by-step explanation:

20% is the same as 0.2 in decimal form, since its decreasing you multiply $20 by 0.8 to get 16. If it was increasing, it would be 20 times 1.2

Answer:

$16.00

Step-by-step explanation:

This is the answer because:

1) Since the price decreases by 20%, we have to first figure out what 20% of $20 is:

20% of $20 = 4

2) Next, we just have to subtract 4 from 20 so we can find out how much the cost is:

$20.00 - 4 = $16.00

Therefore, the answer is $16.00.

Hope this helps! :D

Answer:

[tex]f^{-1}[/tex](x) = x - 3

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x + 3 (subtract 3 from both sides )

y - 3 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = x - 3

Answer:

8

Step-by-step explanation:

2^3 is 8

Answer:

draw a straight line from x point of 2pm up to the line. Then what is the y point of it?

Ill give you an example, for 4pm it's 13C. For 8pm it's 6C. For 9pm it's 8C.

Let me know what you get. And I'll let you know whether it's right or not

Answer:

yeet

Step-by-step explanation:

yeet yeet yeet yeet yeet yeet yeet yeet yeet eet yett yeet yeet yeet yeet yeet yeet yeet yeet yeety

Answer:

its a i did it on egn

Step-by-step explanation:

Answer:

[tex]\displaystyle x=\frac{a+b}{c}[/tex]

Step-by-step explanation:

Equations

Solve the equation:

[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0[/tex]

Subtracting 2:

[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2[/tex]

Multiply by ab to eliminate denominators:

[tex]\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab[/tex]

Simplifying:

[tex]b(b-cx)+a(a-cx)=-2ab[/tex]

Operating:

[tex]b^2-bcx+a^2-acx=-2ab[/tex]

Subtracting [tex]b^2+a^2[/tex]

[tex]-bcx-acx=-2ab-b^2-a^2[/tex]

Multiplying by -1:

[tex]bcx+acx=2ab+b^2+a^2[/tex]

Factoring:

[tex]c(b+a)x=2ab-b^2+a^2[/tex]

The right side of the equation is the square of a+b:

[tex]c(b+a)x=(a+b)^2[/tex]

Simplifying (for a ≠ -b):

[tex]cx=(a+b)[/tex]

Dividing by c:

[tex]\boxed{\displaystyle x=\frac{a+b}{c}}[/tex]

Answer:

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ for \: points \: given \\ = \frac{11 - 7}{5 - 4} \\ = \frac{4}{1} \\ slope = 4[/tex]

Answer:

m = 4

Step-by-step explanation:

equation of point slope formulae

[tex]y = mx + c[/tex]

m = slope , c = y-intercept

1) find the slope

* use the two coordinates given to find the slope

slope formulae:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

i) (4,7)

x1 = 4

y1 = 7

ii) (5,11)

x2 = 5

y2 = 11

substitute the values into the formulae

[tex]m = \frac{11 - 7}{5 - 4} [/tex]

[tex]m = \frac{4}{1} [/tex]

[tex]m = 4[/tex]

the slope = 4

Answer:

2564

Step-by-step explanation:

Andre draws this tape diagram for 3 divided by 23:

Andre says that 3 divided by 23 = 413 because there are 4 groups of 23 and 13 left. Do you agree with

Answer:

Graph A

Step-by-step explanation:

The line starts at 1 since that is what he began with. Then it grows by two because every year he gets too more.

Answer:

I am pretty sure the answer would be Option B.

Step-by-step explanation:

If you look on the graph, Option B is the one that makes the most sense because it goes up by a ratio of 1:2 just like in the problem, 1 gift train + 2 trains per year.

Option A would not make sense because it goes up by the ratio of 1:3 and doesn't match up with the problem.

Note:

I hope this helps! :) Please correct me if I am wrong.

Answer:

y = -4/5 x - 5

Step-by-step explanation:

Multiply 14 by 0.3

14 x 0.3 = 4.2

The answer is 4.2

Answer:

4.2 is the answer

Step-by-step explanation:

Remember, in math, 'of ' always mean multiplication!!!

Answer:

Biased

Step-by-step explanation:

I thing this question is a little bias because it could imply that the more cars your family owns, the richer you are. There could be some other instances where this is not the case, but overall this could be taken as bias.

Answer:

the area of ∆DEF = 6 cm²

Step-by-step explanation:

The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

DE // BC and DE = BC/2 = 10/2 = 5

same reason: DF = AC/2 = 4

FE = AB/2 = 3

DF² + FE² = 16 + 9 = 25 = 5² = DE²

by the Pythagorean theorem, ΔDFE is a right triangle

area ΔDEF = (3 x 4) / 2 = 6 cm²

Answer:

The sequence converges

Step-by-step explanation:

Given the sequence Un = 10n-6/2n-3

To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.

[tex]\lim_{n \to \infty} \left\{\frac{10n-6}{2n-3}\right}\\[/tex]

Divide through by n

[tex]= \lim_{n \to \infty} \left\{\frac{10n/n-6/n}{2n/n-3/n}\right}\\= \lim_{n \to \infty} \left\{\frac{10-6/n}{2-3/n}\right}\\= \left\{\frac{10-6/\infty}{2-3/\infty}\right}\\= \frac{10-0}{2-0}\\= 10/2\\= 5[/tex]

Since the limit of the sequence gives a finite value, hence the sequence converges

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

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

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

Learn more about quadratic function here:

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Answer:

B.) 12

Step-by-step explanation:

h(x) = 3^x + 3

h(2) = 3^2 + 3

h(2) = 9 + 3

h(2) = 12

Answer:

The simplified form is [tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

So before solving this question we need to know that.....

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

(proof)

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]

x = x

So now we can rewrite the question as.........

[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]

Answer:

A

Step-by-step explanation:

x^2/3

Answer:

1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]

For 5, we have 1/18 ×  (10 - 5) = 0.2[tex]\overline 7[/tex]

For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]

For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]

The expected value of the winnings is given as follows;

0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]

Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Answer:

$52

Step-by-step explanation:

Given that :

Amount charged for shipping and handling = 4.5%

Let cost of order = x

Total amount charged = 54.34

However,

total. Amount charged = (total cost + handling and shipping)

54.34 = x + 0.045x

54.34 = 1.045x

Order total before shipping = 54.34 / 1.045

Order total before shipping = 52