Find Kara’s percent grade if she answered 94 questions correctly on the test that had 100 questions

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3²,  or

adj² + 1 = 9, or    adj² = 8.  Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

The period of the wave is this explanation: A group will 'modulate' the wave amplitude; it's like another long wave on top. So the first wave in a group is tiny, the next one is bigger and so on until you get the biggest one in the middle of the group. Then they get smaller again. The last one is tiny, so the biggest wave in the group is in the middle, and if there are 14 waves in a group, the seventh wave is the biggest.

Area is defined as a product of sides when we talk about squares.

[tex]A=a\cdot a=20\cdot20=\boxed{400}[/tex]

The area of the front cover of notebook is 400 centimetres squared.

Hope this helps.

r3t40

Answer:

400 cm

Step-by-step explanation:

Answer:

5 between Martin's place and the school

Step-by-step explanation:

I don't know if you can draw a diagram from by directions, but you can try. It will help you to see the problem.

Draw

Draw a line that looks like this on your paper.

<===============:

school         X        Martin's place

Now draw a line going upwards from the arrow head.

∧                 Haley's place.

|

|

|

|

|

|

<=============:

school       x      Martin's place

Label the distance from the school to Haley's place as 12

I can't draw a line between martin's place and Haley's but you can. Label it as 13

So the givens are

c = distance between Haley's place and Martin's = 13

b= distance from the school to Haley's is 12

a = ? Distance from Martin't and the school = x

Formula

c^2 = a^2 + b^2

Solution

13^2 = 12^2 + a^2

169 = 144 + a^2          Subtract 144 from both sides.

169 - 144 = 144 - 144 + a^2

25 = a^2

sqrt(25) = sqrt(a^2)

a = 5              

The distance from Martin's place to the school (a) is 5 units, determined using the Pythagorean theorem with given values of 12 units from the school to Haley's place (b) and 13 units between Haley's and Martin's places (c).

Distance from the school to Haley's place (b): 12

Distance between Haley's place and Martin's place (c): 13

Using the Pythagorean theorem:

c^2 = a^2 + b^2

Substitute the given values:

13^2 = a^2 + 12^2

Simplify the equation:

169 = a^2 + 144

Subtract 144 from both sides:

25 = a^2

Take the square root of both sides:

a = √25

Simplify:

a = 5

Therefore, the distance from Martin's place to the school (a) is 5 units.

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &degrees\\ \cline{1-2} r=&30\\ \theta =&35 \end{cases}\implies s=\cfrac{\pi (35)(30)}{180} \\\\\\ s=\cfrac{35\pi }{6}\implies s\approx 18.32596[/tex]

Answer: 18.33 inches

Step-by-step explanation:

A P E X

Answer: $54

Step-by-step explanation:

18% of $54 is $9.72

Answer:

Bill amount is $54

Step-by-step explanation:

Tip is a gratuity and amount of money which a customer gives for some specific services workers on the the work they performed. It is the additional amount to the original value of the service  

As per given data

Percentage of Tip = 18% = 0.18

Formula for Tip

Tip = Bill amount x Tip rate

$9.72 = Bill amount x 0.18

Bill amount = $9.72 / 0.18

Bill amount = $54

Answer:

r=2

Step-by-step explanation:

bring the numbers to the other sides

Answer:

dude what is r?

Step-by-step explanation:

for example

3 + 3z - 10

if z is 2

3 + 3 × 2 - 10

Answer:

The numbers are 578 and 264

Step-by-step explanation:

Let

x-----> the greater number

y----> the smaller number

we know that

x+y=842 -----> equation A

x-y=314 -----> equation B

Adds equation A and equation B

x+y=842

x-y=314

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

x+x=842+314

2x=1,156

x=578

Find the value of y

578+y=842

y=842-578=264

Answer:

Final answer is x=23.

Step-by-step explanation:

Given that m∠A = 60°, m∠B = (3x − 2)°, m∠C = (2x + 7)°

We know that sum of all three angles of a triangle equals 180 degree.

So we can write equation:

m∠A + m∠B + m∠C = 180°

60° +(3x − 2)° + (2x + 7)°  = 180°

60 +3x − 2 + 2x + 7  = 180

67 +5x − 2  = 180

65 +5x  = 180

5x  = 180 - 65

5x  = 115

[tex]x=\frac{115}{5}[/tex]

x=23

Hence final answer is x=23.

Same side interior means that they have to be the angles inside the two parallel lines and on the same side

Look at the image below

The ones circled in pink is one set of same side interior and the ones in read are another

Hope this helped!

btw Only one of them is in the answer choices, but both are correct.

Answer:

The correct answer is last option

<3 and <5

Step-by-step explanation:

From the figure we can see that,

MP ║ JL and KN is the traversal

To find the same side interior

From figure we get,

same side interior angles are,

1).  <3 and < 5

2).  <4 and <6

From the given options the correct option is last option

<3 and <5

Answer:

multiplication

Step-by-step explanation:

The investment as a function of time will be 500 + ((8 * t)/100)*500 where 't' represents the number of years.

Percentage is defined as a given part or amount in every hundred

Initial investment by Vince = $500

Increase percentage every year = 8%

Investment value after 1 year will be = 500 + ((8 * 1)/100)*500

Investment value after 2nd year will be = 500 + ((8 * 2)/100)*500

Continuing the pattern:

So, investment value after 't' years will be = 500 + ((8 * t)/100)*500

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Answer:

12

Step-by-step explanation:

Absolute value means take the positive value of

3 |-4|

3 * 4

12

Answer:

105 square cm.

Step-by-step explanation:

The surface area of a square pyramid is

[tex]SA=A_{base}+4A_{lateral \ side}.[/tex]

1. The base is the square with side length of 5 cm, thus

[tex]A_{base}=5\cdot 5=25\ cm^2.[/tex]

2. The lateral side is the triangle with the base of 5 cm and the height of 8 cm. Thus,

[tex]A_{lateral \ side}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 5\cdot 8=20\ cm^2.[/tex]

Now, the surface area of the pyramid is

[tex]SA=25+4\cdot 20=105\ cm^2.[/tex]

Answer:

The surface area of a square pyramid is: 105 cm^2

Step-by-step explanation:

The surface area of a pyramid is given by the following formula

[tex]A = l ^ 2 + 4 * (0.5) lh[/tex]

Where

l is the length of one of the sides of the square base

h is the height of the pyramid

We know that h = 8 cm and l = 5 cm

[tex]A = 5 ^ 2 + 4 * (0.5) * 5 * 8\\\\A = 25 + 2 * (40)\\\\A = 105\ cm ^ 2[/tex]

Answer: Positively Skewed

Step-by-step explanation: I believe it looks to me like it's positively skewed. If you Google how negatively skewed and positively skewed distributions look like, I think it would help you. But hope this helped! :)

Answer: Symmetric

Step-by-step explanation:

For a box plot , a symmetric data set displays the median in the middle of the box.

Also, We know that a distribution is said to be skewed if it has longer whisker at one side than the other.

But in the given box plot , the median looks at the middle of the box.

Therefore, the given box-plot describes a symmetric distribution.

Answer:

1 1/2 feet

Step-by-step explanation:

Living Room Window: 2 5/6 feet wide

Bedroom Window: 1 1/3 feet wide

2 5/6 - 1 1/3 = 2 5/6 - 1 2/6 = 1 3/6 = 1 1/2

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Emily's living room window is 2 ⁵/₆ feet wide the window in her bedroom is 1 ¹/₃ foot wide.

Convert the mixed fraction into a fraction number, then we have

2 ⁵/₆ = 17 / 6

1 ¹/₃ = 4 / 3

The ratio of the width of the window of the living room to the window of the bedroom is calculated as,

⇒ (17/6) / (4/3)

⇒ (17/6) x (3/4)

⇒ 17/8

⇒ 2.125

The width of the window of the living room is 2.125 times the width of the window of the bedroom.

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Answer:

The expected revenue of an airline ticket sold by this travel website is $408

Step-by-step explanation:

For the revenues per ticket we have;

airline A; 600

airline B; 360

For the probability of choosing the airlines we have;

airline A; 20% = 0.2

airline B; 80% = 0.8

Therefore, the expected revenue of an airline ticket sold by this travel website is;

600(0.2) + 360(0.8) = 408

Therefore, the expected revenue of an airline ticket sold by this travel website is $408

Answer:

(x^5 - y)(x^5 + y)

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

The given expression is

5(2x-7)

In order to check the options we will have to simplify the expression so that we can match with the answers.

To simplify the expression , first we have to multiply the 5 written outside the bracket with the terms inside the bracket i.e. 2x -7

So,

=> 5(2x-7)

Multiplying 5 inside

=> (5)(2)x - (5)(7)

=> 10x - 35

So, comparing with the given options, we observe that option E is the correct answer..

Answer:

The correct answer is  64a^6 - 27b^4

Step-by-step explanation:

It is given an expression,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)

To find the correct answer

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4)  can be written as,

(4a^2 - 3b^2)(16a^4 + 12a^2b^2 + 9b^4) = 4a^2 * (16a^4 + 12a^2b^2 + 9b^4) - 3b^2(16a^4 + 12a^2b^2 + 9b^4)

 = 64a^6 + 48a^4b^2 + 36a^2b^4 - 48a^4b^2 - 36a^2b^4 - 27b^4

 =  64a^6  - 27b^4 + 48a^4b^2 - 48a^4b^2 + 36a^2b^4 - 36a^2b^4

 = 64a^6 - 27b^4

Therefore the correct answer is  64a^6 - 27b^4

Answer:

[tex]64a^6-27b^6[/tex]

Step-by-step explanation:

Hope this helps:) Have a good day!!

Data suitable for dot plots are quantitative and involve individual values. Options A), D), E), and F) can be graphed using dot plots because they involve numerical data where each dot represents an individual value. Options B) and C) involve categorical data, which are not typically displayed using dot plots.

A dot plot is a type of graphical display that uses dots to represent the frequency or distribution of data points along a number line. It is suitable for displaying quantitative data that consists of individual values. Let's analyze each option:

A) Time taken to complete a test:

Yes, this data could be graphed using a dot plot. Each dot would represent a student's time taken to complete the test, and the position of the dot along the number line would correspond to the time taken.

D) Number of cars in a household:

Yes, this data could also be graphed using a dot plot. Each dot would represent a household, and the position of the dot along the number line would correspond to the number of cars in that household.

E) Number of siblings:

Yes, the number of siblings could be graphed using a dot plot. Each dot would represent an individual, and the position of the dot along the number line would correspond to the number of siblings that individual has.

F) Distance driven to school:

Yes, this data could also be graphed using a dot plot. Each dot would represent a student, and the position of the dot along the number line would correspond to the distance driven to school by that student.

Options B) Favorite pet and C) Zip Code do not lend themselves well to dot plots. Favorite pet is a categorical variable, and dot plots are typically used for displaying quantitative data. Similarly, zip codes are categorical and do not have a natural numerical order suitable for a dot plot.

So, the data that could be graphed using a dot plot are A), D), E), and F). Each dot plot would display the distribution of values for the respective variables, providing a visual representation of the data's spread and concentration.

Complete question :- Which of the following data could be graphed using a dot plot? Select all that apply.

A) Time taken to complete a test

B) Favorite pet

C) Zip Code

D) Number of cars in a household

E) Number of siblings

F) Distance driven to school

Answer:

the first option is correct

Step-by-step explanation:

The error is identified in C. In step 2, he confused the multiplication and addition signs.

What is Calvin's error?

In step 2, he confused the multiplication and addition signs.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 × 5) + (-2/3 × 1/6)

Step 3: -10/3 + -12/18

Step 4: -10/3 - 2/3

= (-10-2)/3

= -12/3

= -4

Therefore,

Calvin's answer should be negative 4

Complete Questiion:

Calvin evaluated -2/3 x 5 1/6 using the steps below.

Step 1: -2/3 x (5 + 1/6)

Step 2: (-2/3 + 5)x(-2/3 + 1/3)

Step 3: 4 1/3 x -1/3

Step 4: -2 1/6

Which describes Calvin’s error?

In step 1, he incorrectly broke up 5 1/6.

In step 2, he distributed the -2/3 instead of the 5.

In step 2, he confused the multiplication and addition signs.

In step 3, he computed the addition and multiplication incorrectly

Step 1: Order the numbers from least to greatest

112, 130, 142, 150, 178, 206

The two middle numbers are 142 and 150.

The number between 142 and 150 is 146.

The median weight is 146 pounds.

The median weight of the wrestlers is 146 pounds.

To find the median weight, we need to arrange the weights in ascending order and identify the middle value(s).

Arrange the weights in ascending order:

112, 130, 142, 150, 178, 206

Since there is an even number of weights (6), the median is the average of the 3rd and 4th weights.

The 3rd weight is 142, and the 4th weight is 150.

Calculate the median:

(142 + 150) / 2 = 292 / 2 = 146

Answer:

2

Step-by-step explanation:

The average rate of change of a function over the interval a to b is:

(f(b) − f(a)) / (b − a)

In this case:

(f(4) − f(0)) / (4 − 0)

(7 − -1) / 4

2

Answer:

You'd earn $825 in interest.

Step-by-step explanation:

The appropriate formula for simple interest is i = p·r·t, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.  Because 8 months constitutes 2/3 year, we have:

i = $45,000·(0.0275)(2/3) = $825.

You'd earn $825 in interest.

Answer:

The answer is 8

Step-by-step explanation:

count them

There are 8 data points plotted in the given scatterplot. The given scatterplot gives the relationship between the given variables.

The given graph is a scatterplot between two variables

The given plot shows the graph is increasing as the time increases. And in the graph, there are 8 data points.

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Answer:

51.34

Step-by-step explanation:

First, things first, identify the opposite, adjacent, and hypotenuse.

Since you are trying to find the value of x, the length measuring 4 is the adjacent because it is one of the lengths that creates that angle measure you are trying to find. 5 is the opposite because the angle is on the opposite side of the length. The [tex]\sqrt{41}[/tex] is the hypotenuse.

Now, which trig equation do you want to use?

sin(x) = opposite / hypotenuse

cos(x) = adjacent / hypotenuse

tan(x) = opposite / adjacent

Let's first try solving with sine.

sin(x) = 5/[tex]\sqrt{41}[/tex]

Since you want to find the angle, you have to use the [tex]sin^{-1} (\frac{5}{\sqrt{41}} )=x[/tex]

Plug it into your calculator, then you should get something like this: 51.34019175.

That is the angle measurement of x.

Let's use cosine.

cos(x) = 4/[tex]\sqrt{41}[/tex]

Again, since you want to find the angle, you have to use the [tex]cos^{-1} (\frac{4}{\sqrt{41}} )=x[/tex]

Plug it into your calculator, then you should get something like this: 51.34019175.

You realize that it gave the same answer, right? Yep, let's also do tangent.

tan(x) = 5/4

Again, since you want to find the angle, you have to use the [tex]tan^{-1}(\frac{5}{4}} )=x[/tex]

Type it into the calculator and you should get 51.34019175 again!

Answer:

Step-by-step explanation:

A. you: Number of sandwiches = .5 * time

friend: # of sandwiched = .5 * t + 5

B. Your friend makes 10 and you make 5

The equations y1=x/2 and y2=(x+10)/2 model the sandwich-making process, where y1 and y2 are the number of sandwiches you and your friend make respectively. In 20 minutes, you can make 10 sandwiches and your friend can make 15 sandwiches. The graphs of these equations are lines with the same slope, indicating the same rate of sandwich-making but different start times.

Let's define the variables first. Let's say x stands for time in minutes, and y1 and y2 stand for the number of sandwiches you and your friend make, respectively.

a) The equations modeling the number of sandwiches made as a function of time would be y1 = x/2 for you (since you make one sandwich in 2 minutes) and y2 = (x+10)/2 for your friend (since your friend starts 10 minutes earlier than you).

b) If x is 20 minutes: for you, replacing x in the equation y1 = x/2, we get the number of sandwiches you make (y1) is 20/2 = 10 sandwiches. For your friend, replacing x in the equation y2 = (x+10)/2, we get the number of sandwiches your friend makes (y2) is (20+10)/2 = 15 sandwiches.

c) In comparison, the graphs of the two equations are lines with the same slope (0.5), indicating the same sandwich-making rate. However, they have different y-intercepts, signifying that your friend started earlier and therefore made more sandwiches.

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Answer:

d)13sin75/sin55

Step-by-step explanation:

1)Given

inΔVWU, ∠V= 75°

∠U= 50°

Finding ∠W:

∠W= 180-(75+50)

     =180-(125)

     = 55

Now finding x, using law of sine

x/sinV = 13/sinW

Putting the values in above we get:

x/sin75=13/sin55

Re-arranging, we get:

x= 13sin75/sin55 !

Answer:

$962.82 will be in John's account after 8 years if compounded semiannually.

Step-by-step explanation:

The formula used to find the amount after 8 years is:

A = P(1+ r/n)^nt

Where A = future value

P= principal value

r = interest rate ( in decimals)

n = no of times interest is compounded

t = time

Putting the values:

P = $600

r = 6% = 0.06

n = 2

t = 8

A= 600 *(1+0.06/2) ^2(8)

A= 600 *(1.03) ^16

A =600*1.605

A = 962.82

So, $962.82 will be in John's account after 8 years if compounded semiannually.