In a Mathematics test, there are 10 multiple choice questions 2 marks will be awarded for each correct answer, while 1 mark will be deducted for each wrong answer. If Peter answers all the questions in the test and his test result is 8 marks, how many correct answers has he got in the test?​

Answer:

A. 2^20/3^8

Step-by-step explanation:

Hope this helped, have a good day <3

Answer:

2 20

3 8

Step-by-step explanation:

you times the exponent on the inside to the exponent on the outside

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

R4 ≤ 0.00008

R4 = 0.00001

Step-by-step explanation:

Given: sinh( 0.4 ) ≈ \(1 - \frac{(0.4)^2}{2!} + \frac{(0.4)^2}{4!}\)

using Taylor's Theorem

R4 ≤ 0.00008

R4 = 0.00001

attached is the detailed solution

Step-by-step explanation:

3x+4=7x-4

add 7x to each side of equation 4x+3x+-7x=-4x+7x+-7x

combine like terms 7x+-7x=0

4+ -4x =-4 +0

4+-4x= -4

add -4 to each side of equation 4+ -4 +-4x=-4+-4

combine like terms -4 +4=0

0+ -4x = -4+ -4

combine like terms -4+-4=-8

-4x =-8

divide each side by-4

x=2

simplifying

x = 2

Answer:

Dino's: 1 sandwich = 4, 2 sandwiches= 4 *2 = 8, 3 sandwiches = 4 * 3 = 12, 4 sandwiches = 4 * 4 = 16

Carla's: 1 sandwich = 8, 2 sandwiches= 8 *2 = 16, 3 sandwiches = 8 * 3 = 24, 4 sandwiches = 8 * 4 = 32

Step-by-step explanation:

multiply the quantity of sandwiches by the price per each sandwich and you get your answers.

Answer:

10x-17

Step-by-step explanation:

f(x) = x^2 + 9x – 14

g(x) = x^2 – x + 3

(f – g)(x)=x^2 + 9x – 14  - (x^2 – x + 3)

Distribute the minus sign

(f – g)(x)=x^2 + 9x – 14  - x^2 + x - 3

Combine like terms

    =10x-17

The given initial value problem y(0)=8, solution is \(y=\sqrt{64e^x-3x}\)

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation. Assuming that a function's rate of change with regard to x is inversely proportional to y, we may write it down as dy/dx = k/y. An equation involving the derivative (derivatives) of the dependent variable with respect to the independent variable is referred to as a differential equation in calculus (variables). The differential equation assists us in presenting a relationship between the changing quantity with respect to the change in another variable. The derivative represents nothing more than a rate of change. If y is a dependent variable, f is an unknown function, and x is an independent variable, then y=f(x) is a function.

The given differential equation is,

\(2yy'+3=y^2+3x\\\\2y\frac{dy}{dx}=y^2+3x-3\\\\(3-y^2-3x)dx+2ydy=0\\\\compare, Mdx+Ndy=0\\\\M=3-y^2-3x\\\\N=2y\)

The given equation is not exact but if we multiplied by \(e^{-x}\)

\(The D.E.\\(3-y^2-3x)e^{-x}dx+2ye^{-x}dy=0\\\\then M_y=-2ye^{-x}=N_x\\The G.S,=y^2e^{-x}+3xe^{-x}=c\\\\y(0)=8\\c=64\\hence,\\y=\sqrt{64e^x-3x}\)

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Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

y=-3 x=1 (1,-3)

Step-by-step explanation:

y=x-4

y=6x-9

y+4=x

y+9=6x

difference = 5

x+5=6x

x=1

y=-3

1,-3

1. The type of function which is represented by the data in the table is; Quadratic.

2. The statement which is true is; The second differences are constant.

3. The type of function which is represented by the data in the given table is; Linear equation.

It follows from the task content that the functions which correctly represents each data table is required to be determined.

It follows from definition that, linear functions are functions in which case, the first differences are constant while quadratic functions are functions in which the second differences are constant.

Therefore, the first table is a representation a quadratic function while the second is a representation of a linear function.

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Answer:

The correct option - Figure A

Step-by-step explanation:

The exact question is as follows :

Given - Royce kept track of the inches of snowfall in his town over a 15-day period. Royce's data is given below.

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

To find - Which box plot shows this data set?

Solution -

Given the data is -

1, 0, 0, 3, 5, 0, 0, 0, 2, 2, 1, 7, 2, 2, 3

Firstly,

Arrange the data from smallest to largest

0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 7

Now,

Find the median

Median is the middle value - i.e. (15 + 1)/2 = 8th value

So, we get Median = 2

Now,

Find the Quartile -

The first quartile is the median of the data points to the left of the median.

i.e. Median of 0, 0, 0, 0, 0, 1, 1

so, we get

Q1 = 0

The third quartile is the median of the data points to the right of the median.

i.e. Median of 2, 2, 2, 3, 3, 5, 7

so, we get

Q3 = 3

Now,

Compute the min and the max

Minimum value = 0

Maximum value - 7

So,

five number summary is -

0, 0, 2, 3, 7

And we draw the box as follows -

So,

The correct option - Figure A

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

Answer:

Uhhhh... 54?

Step-by-step explanation:

Just add them together.

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The description is too ambiguous to reconstruct the diagram. You need to post the actual diagram.

That diagram is just one way to view division by a fraction. An easier way: DIVIDING by a fraction is the same as MULTIPLYING by the upside-down fraction. For example,

(1/2) ÷ (1/4) = (1/2) × (4/1) = 2

That doesn’t help you answer this particular question, though.

Answer:

C

Step-by-step explanation:

Answer:

y-6=2(x-5)

I hope this is good enough:

Answer:

Carmen ran \(\frac{1}{12} \) mile more than she walked.

Answer:

40%

Step-by-step explanation:

10 out of 25 = 10/25 or 2/5

10/25 = 0.4

0.4 x 100 = 40%

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

Answer:

$140

Step-by-step explanation:

35 times 4

Answer:

well if 20% x 5 is 100% then $4 x 5 = $20 So without the coupon the dog food costs $20   love, the Pineapple \|/

                                                              (_)

Step-by-step explanation:

pls make me brainlyiest

Answer:

Step-by-step explanation:

Given sides of a rectangle

Perimeter of rectangle

Using the given values

Answer:

The equation is

8 - 42x - 56y - 12xy

Step-by-step explanation:

I just took the assignment. Also, my dude, you were insanely early and way ahead! So sorry I got here late. :/

Answer: 3 and 4

Step-by-step explanation:

Answer:

\(m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = 360\ degree\)

Step-by-step explanation:

As we can see in the figure that

The R, S, T ,and Q are the points on the circle O.

Also

The measurement of the circular arc is equivalent to the measurement of the angle at the center of the arc

So by this

\(m(\widehat{RS})=m(\angle ROS)\)

\(m(\widehat{ST})=m(\angle SOT)\)

\(m(\widehat{TQ})=m(\angle TOQ)\)

m(major arc RQ) = m(∠QOR)

So,

\(m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = m(\angle ROS)+m(\angle SOT)+m(\angle TOQ)+m(\angle QOR)\)

And as we know that

All angles sum = 360°

Therefore

\(m(\widehat {RS})+m(\widehat{ST})+m(\widehat{TQ}) + m(major\ arc RQ) = 360\ degree\)

Answer:

76

Step-by-step explanation:

Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.

Answer:

55

Step-by-step explanation:

\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)

Make sure to always round up the required sample size to the nearest integer!