Danielle received the following scores on her essay tests:

84, 85, 83, 86, 80, 85, 86, 88, 89, 86, 83

What is the mean of her scores?

85.5
84.5
86
85

Answer:

f-1(x) = (x - 16)/40

B

Step-by-step explanation:

Call f(x) = y

Interchange x and y

x = (5y + 2)*8             Remove the brackets

x = 40y + 16               Subtract 16 from both sides

x - 16 = 40y                Interchange the left and right sides

40y = x - 16                Divide by 40

y = (x - 16)/40

f-1(x) = (x - 16)/40

Answer:

21/H = 40/57

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since the triangle is 45-90-45, x = 4.

Answer:

4 is the answer

Step-by-step explanation:

By Pythagorean theorem

hypotenuse^2=base^2+altitude^2

(4sqrt2)^2=(4)^2+x^2

32=16+x^2

32-16=x^2

16=x^2

taking square root on both sides

x=4

Answer:

- 2x - 5

Step-by-step explanation:

2x - (5 + 4x)

2x - 5 - 4x

- 2x - 5

Answer: The answer is -2x - 5

Step-by-step explanation:

Answer:

I’m going in the order form up to down

1) Total cost is $15.60 (you multiply the unit rate by the quantity to find the total cost)

2) Unit rate is $13.20 (You divide the total by the quantity to find the unit rate)

3) Quantity is 6 (You divide the total by the unit rate to find the amount of things or quantity)

4) 12 percent tax rate (We can make an eqaution to find out how much you multiply thr total to find the tax rate by doing 82.5x=9.9. THe result would be 0.12 or 12 percent)

Answer:

7.6032,7.63,7.6

Sorry if I am wrong.

Step-by-step explanation:

Answer:

35.44

Step-by-step explanation:

2 times pi times radius.

Answer:

Any better explanation

Answer:

49

Step-by-step explanation:

Given

v² - 14v

To complete the square

add ( half the coefficient of the v- term )² to v² - 14v

v² - 14v + (- 7)²

= v² - 14v + 49

= (v - 7)² ← a perfect square

Answer:

the answer to the question is 1

Answer:

p-3=8.25

p=11.25

Answer:

p - 3 = 8.25 and 11.25

Step-by-step explanation:

hi there!

the question is asking us to first find out which equation we can use to solve this wordy problem.

its not going to be answers 1 or 3 since they are adding/ multiplying more on to our wooden plank, when the question is stating that we are subtracting 3 inches off.

knowing that now, our answer is p - 3 = 8.25 or 4 !

now all we have to do is add 3 to 8.25 to get our answer of how long the plank was before we cut it

3 + 8.25

= 11.25

p = 11.25 <---------------- our final answer!

i hope this helped you! i hope you have a good rest of your day :)

( im sorry if this this late!! )

Answer:

3/4

Step-by-step explanation:

Based on the spinner attached :

Faces are in equal divisions ; number of faces = 8

Probability the spinner will not land on a certain number = 1 - P(spinner lands on that number)

P(spinner lands on 5) = 1 /8

P(spinner will not land on 5) = 1 - 1/8 = 7/8

P(spinner lands on 8) = 1/8

P(spinner will not land on 8) = 1 - 1/8 = 7/8

Hence,

P(spinner will not land on 5 or 8)

Required outcome = (1, 2, 3, 4, 6, 7) = 6

Total possible outcomes = (1.2, 3, 4, 5, 6, 7, 8) = 8

P(spinner will not land on 5 or 8). = 6/8 = 3/4

Answer:

Answer: 1/9

Step-by-step explanation:

(27^1/3 = 3

9^1/2 = 3

3^b

====

3^a

3^(b - a)

3^-2 = 1/9

1/9

Answer:

yes

Step-by-step explanation:

Answer: C

Sn= 7(1-0.7n)

Step-by-step explanation:

The rule that defines S for [tex]a_n = 3(0.7)^n[/tex] is:

[tex]S_n = 7(1 - 0.7^n)[/tex]

The rule of S means that we calculate the rule that defines the sum of n terms of the geometric progression.

Given that:

[tex]a_n = 3(0.7)^n[/tex]

Rewrite as:

[tex]a_n = 3 (0.7)^n \times 1[/tex]

Replace 1 with 0.7/0.7

[tex]a_n = 3 (0.7)^n \times \frac{0.7}{0.7}[/tex]

Rewrite as:

[tex]a_n = 3 *0.7 \times \frac{(0.7)^n}{0.7}[/tex]

Apply law of indices

[tex]a_n = 3 \times 0.7 \times (0.7)^{n-1}[/tex]

[tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

The n term of a geometric progression is:

[tex]a_n = ar^{n-1}[/tex]

Compare [tex]a_n = ar^{n-1}[/tex] to [tex]a_n = 2.1 \times (0.7)^{n-1}[/tex]

[tex]a = 2.1[/tex] --- the first term

[tex]r = 0.7[/tex]

The sum of n terms of a geometric progression is:

[tex]S_n = \frac{a(1 - r^n)}{1 -r}[/tex]

This gives:

[tex]S_n = \frac{2.1(1 - 0.7^n)}{1 -0.7}[/tex]

[tex]S_n = \frac{2.1(1 - 0.7^n)}{0.3}[/tex]

[tex]S_n = 7(1 - 0.7^n)[/tex]

Learn more about the sum of geometric progression at:

https://brainly.com/question/22068689

Answer:

pi/3+2pin, 2pi/3+2pi(n)

Answer:

the next one is c - pi/2

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

sum of angles in a quadrilateral = 360

missing angle = 360 - (60 + 110 + 90) = 100

Answer:

25

Step-by-step explanation:

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

Answer:

57.6°

Step-by-step explanation:

It is always helpful to draw a picture.  Also, you need to memorize all the definitions of the trig functions.  For example,

sine of an angle = opposite side/hypotenuse

In your case, SQ is opposite side to angle R and QR is the hypotenuse

Therefore, sin R = 6.5/7.7

          m∠R =  arcsin (6.5/7.7) = 57.6°

Answer: -1/4

Step-by-step explanation:

so lets just eliminate some of the choices here.

4 and -4 are 4/1 or -4/-1 and it doesnt go up or down 4 here so those can be ruled out. If we look at which way the green line is facing, positive goes up on the graph, but green line is going down so we can rule out 1/4. So all that is left is -1/4, so there's your slope.

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Answer:

1 Simplify 1.3\times 101.3×10 to 1313.

(13-2)\times 0.05

(13−2)×0.05

2 Simplify 13-213−2 to 1111.

11\times 0.05

11×0.05

3 Simplify.

0.55

0.55

The product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

Two or more expressions with an Equal sign is called as Equation.

We need to find the product of (1.3 x 10⁻²) and (0.05)

Multiplication is a method of finding the product of two or more numbers

First multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

1.3×0.05=0.065

So 0.065x 10⁻² is the value of product (1.3 x 10⁻²) and (0.05)

Hence, the product of  (1.3 x 10⁻²) and (0.05)  is 0.065x 10⁻²

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

108.75 m^2

Step-by-step explanation:

Area of a rectangle = length x breadth

15 x 7 1/4

15 x 29 / 4 = 108.75 m^2 or 108 3/4 m^2

Answer:

option b is correct

I hope it helps

Answer:

a.) her loss is 5 dollars

b.) her profit is 10 dollars

c.) she should sell them for $0.15

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