Which quadratic function in standard form has the values a = –3. 5, b = 2. 7, and c = –8. 2? f(x) = 2. 7x2 – 8. 2x – 3. 5 f(x) = 2. 7x2 – 3. 5x – 8. 2 f(x) = –3. 5x2 – 8. 2x 2. 7 f(x ) = –3. 5x2 2. 7x – 8. 2.

Answer:

20 seconds

Step-by-step explanation:

I assume you mean [tex]h(t)=8\cos(\frac{\pi}{10}t)[/tex] for your function.

As the given function is in the form of [tex]f(t)=a\cos(bt+c)+d[/tex] (some textbooks may write this formula differently), the period is equal to [tex]\frac{2\pi}{|b|}[/tex]. Hence, the period of the given function is [tex]\frac{2\pi}{|\frac{\pi}{10}|}=\frac{2\pi}{1}*\frac{10}{\pi}=\frac{20\pi}{\pi}=20[/tex], or 20 seconds.

The period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.

Suppose that we've got: [tex]f(x) = a\cos\left(\dfrac{2\pi x}{b}\right)[/tex]

Then, this function has:

For this case, we're given that:

[tex]h = 8\cos\left(\dfrac{\pi x}{10}\right)[/tex]

We can rewrite it as:

[tex]h = 8\cos\left(\dfrac{2\pi x}{20}\right)[/tex]

Thus, we get a = amplitude = 8 units(distance), and b = period = 20 units(time in seconds).

Thus, the period of the function that relates the sea level as the function of time is given by: Option D: 20 seconds.

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Answer:

39

Step-by-step explanation:

you can set a proportion

84/156 = 21/x

when u solve for x u get 39

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Fraction is converted to percentage:

[tex](\frac{1}{4} )(100)=\frac{100}{4} =25%[/tex] %

Hope this helps

Answer:

Heres the answer Hope this helps!:)

Answer:

18.75

Step-by-step explanation:

Answer:

118,098

Step-by-step explanation:

Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.

so 54*3 = 162 and keep multiplying your answer by three until you have 11 times

Answer:

Put 4.96 in the second box then solve which the answer is 6.76

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

4 multiplied by 50 = 200

400 divided by 200 = 2

so it is both a factor of 400, a multiple of 4, and it's neither 4 nor 400 :)

Answer:

I have no idea what are you talking about......

Answer:

78.42

Step-by-step explanation:

[tex]1.06(24.99 + 48.99)[/tex]

[tex]1.06 \times 73.98 = 78.42[/tex]

Step-by-step explanation:

answer......

...........

y = mx + p

p = - 7 since the line cuts the y-axis in -7

and m the slope ?

we choose 2 points (-2 ; 0) and (0 ; - 7)

we move of 2 units towards the left to go down of 7 units

=> m = - 7/2

y =  - 7/2x - 7

or

y = -3,5x - 7

Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :

[tex]\qquad \sf  \dashrightarrow \:1 \: \: and \: \: - 3[/tex]

Therefore, the correct choice is D

Answer:

First, we bring the equation to the form ax²+bx+c=0, where a, b, and c are coefficients. Then, we plug these coefficients in the formula: (-b±√(b²-4ac))/(2a) . See examples of using the formula to solve a variety of equations.

That 6 should be -6

Let me solve it for you

[tex]\\ \rm\rightarrowtail 2x-x-6=0[/tex]

So

[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-(-1)\pm\sqrt{(-1)^2-4(2)(-6)}}{2(2)}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm \sqrt{1+48}}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{1\pm 7}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{8}{4}\:or\:\dfrac{-6}{4}[/tex]

[tex]\\ \rm\rightarrowtail x=2\:or\:\dfrac{-3}{2}[/tex]

Answer:

75

Step-by-step explanation:

322 = 2(86) + 2w

322 = 172 + 2w

322-172 = 172 +2w -172

150 = 2w

150/2 = 2w/2

w=75

Answer:

the answer  6 1/6

Step-by-step explanation:

proof here

Answer: 6/1 6

Step-by-step explanation: i took the  quiz

The mean and mean absolute deviation of the given data are;

B. Mean: 72; mean absolute deviation: 2.

The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.

Given the data, 68, 70, 72, 73, 74, 75:

Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6

Mean = 72

Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6

Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6

Mean absolute deviation = 12/6

Mean absolute deviation = 2

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Answer:

Step-by-step explanation:

Credit should go to the previous helper here:

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I have not cross-checked but the previous answers were:

"

For average daily balance:

Form date 9/1 to date 9/5 :

Balance x number of the days = $ 387.52 x 5 days = $ 1937.6

As on date 9/6 :

($ 387.52 - $ 50.00) x 1 day = $ 337.52

From date 9/7 to date 9/18 :

Balance = $ 337.50

Number of days = 12 days

Therefore, product = 12 days x $ 337.52

= $ 4050.24

As on 9/19 :

($ 337.52  + $ 62.66) x 1 day = $ 400.18

From date 9/20 to date 9/30

Balance :$ 400.18

Number of days = 11 days

Therefore, product = 11 days x $ 400.18

= $ 4401.98

Average daily balance

=  ($ 1937.6 +  $ 337.50 + $ 4050.24 + $ 400.18 + $ 4401.98) / 30

= $ 370.91

Finance charge = $ 370.91 x 1.75 %

= $ 6.49

New balance = $ 370.91 + $ 6.49

= $ 377.4

"

Answer:x = 154°

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

x = 154°

Answer: 154 degrees

Step-by-step explanation: subtract 180 from 26 To get it .

Answer:

see below for the whole unit activity

Step-by-step explanation:

Answer:

100in^3

Step-by-step explanation:

1. Split the shape into 2 separate rectangles.

2. Use the volume of a rectangle formula for each and add together (look at picture above).

I hop this helps! Have a blessed rest of the night!

Answer:

The formula for surface area of a rectangular prism or cube is:

SA = 2 (LW+LH+WH)

So, we do, 2 (2×2+2×2+2×2)

So, the answer is 2×12 or 24 cm²

Answer:

300 text messages sent or received

Step-by-step explanation:

.16 x 300 = 48 which is the same amount as the unlimited texting

Answer:

300

Step-by-step explanation:

this is the answer to this question

Answer:

[tex]\frac{1}{2}x[/tex]

Step-by-step explanation:

If the greater number is x and it is two times greater than the other number then the other number is half as big.  This is true because 2*[tex]\frac{1}{2}[/tex]x = x

The other number is equal to x/2.

A fraction in mathematics represents a portion or element of the whole. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator.

As per the given data:

We are given the relationship between 2 numbers, It's given that One number is two times greater than another number.

The greater number = x

Let's assume that the smaller number is y.

From the given data in the question:

One number is two times greater than another number

= x = 2y ...(i)

The other number that is the smaller number is given by:

By dividing eq (i) by 2 from both sides.

y = x/2

The other number is equal to x/2

Hence, The other number is equal to x/2

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Answer: 45

Step-by-step explanation: Area of a triangle is l x h all divided by 2.

Plug numbers in. 9 x 10=90. 90/2 = 45.

Answer: = 3 seconds

Step-by-step explanation: combine the like terms Hope it helps !!

To simplify: 8s - 11s + 6s. Simplify the like terms by combining them

Simplifying 8s - 11s + 6s will give 3s.

Given,

8s - 11s + 6s

Now,

Expression : 8s-11s+6s

To simplify the expression combine like terms. So, all the terms consists of variable s.

Combine all terms having same sign,

So,

Firstly apply addition

8s + 6s

= 14s

Now,

Apply subtraction,

14s - 11s

= 3s

Therefore the simplified version is 3s.

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Answer:

1.714 feet

Step-by-step explanation:

slope is rise over run.

rise would be the vertical measurement and run would be the horizontal measurement.

24/14 = 12/7

12/7 = 1.714

Answer:

76

Step-by-step explanation:

We know the rule when finding the derivative :

Deriving

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{0} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76[/tex]

Here, we have got a constant number, therefore for any value of x it will be 76

Therefore, derivative of 76x + 1 at x = 1 is 76

Answer:

38.69

Step-by-step explanation:

=$38.69411765

=$38.69 (to the nearest cent)

(100/85) \$32.