Subtract -6x2 – 2x + 5 from 2x2 + 8.

Answer:

In which figure we have to find x

The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function

The true statements about the y-intercept are;

B. The y-intercept is 10

D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch

Reasons:

The points on the graph are;

\(\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right]\)

The slope of the graph is therefore; \(\dfrac{60 - 50}{5 - 4} = 10\)

The equation of the graph is y - 60 = 10·(x - 5)

y = 10·x - 50 + 60 = 10·x + 10

The y-intercept is give by the point where the x-value is zero

At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10

Therefore, the y-intercept which is $10, represent the amount the family

paid to the babysitter at the start for her lunch

The correct statements are therefore;

Option B; The y-intercept = 10

Option D; The y-intercept indicates the amount given to the babysitter for

her lunch

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Answer:

d and b i did the quiz

Step-by-step explanation:

The standard form of a parabola is y = a(x - h)^2 + k, where (h,k) is the vertex of the parabola and "a" determines whether the parabola opens up (if a > 0) or down (if a < 0).

what is parabola?

A parabola is a U-shaped symmetrical curve. It is a type of conic section, formed by intersecting a cone with a plane parallel to its side. The shape of a parabola is determined by its equation, which can be written in standard form as y = ax^2 + bx + c, where a, b, and c are constants. The vertex of the parabola is located at the point (-b/2a, c - b^2/4a), and the axis of symmetry is a vertical line passing through the vertex. Parabolas have many applications in mathematics and physics, including in the design of reflective surfaces such as telescopes and satellite dishes.

what is symmetrical?

Symmetrical refers to having or exhibiting symmetry, which is a property of a shape or object that can be divided into two or more identical parts. When a shape or object is symmetrical, it looks the same on both sides of the line of symmetry. For example, a circle is symmetrical because any line passing through its center will divide it into two identical halves. A human face is also symmetrical because the left side and the right side are nearly identical. In mathematics, symmetry is an important concept that appears in various fields, including geometry, algebra, and calculus.

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

2(5)(5) + 4(5)(10) = 50 + 200 =

250 square centimeters

a. The probability that wave height is at most 0.5 m is 0.612.

b. The probability that wave height exceeds its mean value by more than one standard deviation is 0.262.

c. The median of the wave-height distribution is 0.657 m.

d. The 90th percentile of the wave-height distribution is 1.512 m.


1. To find the probability of wave height being at most 0.5 m, calculate the cumulative distribution function (CDF) of the Weibull distribution with α = 1.817 and β = 0.863: F(x) = 1 - e^(-(x/β)^α). Plug in x=0.5 to find the probability.

2. To find the probability that wave height exceeds its mean value by more than one standard deviation, calculate the mean (μ) and standard deviation (σ) of the Weibull distribution, and find the probability using CDF: 1 - F(μ + σ).

3. To find the median, use the quantile function: β(-ln(1 - 0.5))^(1/α).

4. To find the 90th percentile, use the quantile function again: β(-ln(1 - 0.9))^(1/α).

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Answer:

The probability mass function of X is:

\(p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n\)

Step-by-step explanation:

A Binomial experiment has the following properties:

• There are a fixed number of trials (n).

• Each trial are independent of the others.

• Each trial has only two outcomes: Success and Failure

• Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

Then the probability mass function of X is known as binomial probability distribution.

The probability mass function of X is:

\(p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n\)

Use the equation formula to find the area of a circle

The radius is given on the question, replace this value on the equation and find the area.

The area of the circle is 201.06 mm^2

The expression 4.3x(3.9−8.5)+2.3y(−6.2−9.1) when x= -2.1 and y= 3.4 gives -81.627.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

4.3x(3.9−8.5)+2.3y(−6.2−9.1)

Now,  when x=−2.1 and y=3.5.

= 4.3( -2.1 ) (3.9 - 8.5 ) + 2.3(3.5)(-6.2 - 9.1)

= 4.3(-2.1) (- 4.6) + 2.3(3.5)(-15.3)

= 41.538 - 123.165

= -81.627

Hence, the expression 4.3x(3.9−8.5)+2.3y(−6.2−9.1) results to -81.627.

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Hey there!

2^5 /6^5

2^5

= 2 * 2 * 2 * 2 * 2

= 4 * 4 * 2

= 16 * 2

= 32

6^5

= 6 * 6 * 6 * 6 * 6

= 36 * 36 * 6

= 1,296 * 6

= 7,776

= 32 / 7,776

= 32 ÷ 32 / 7,776 ÷ 32

= 1 / 243

≈ 2^5 × 6^-5

Therefore, your answer is: 2^5 × 6^-5

(Option D.)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

so the zeros of the function are 1 and -3/2. So the answer is option A

Answer:

60

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

The whole line (DF) equals 9x - 39. So you need to make that equal to 47+3x+10 and work out like so. I hope this helps!

Answer: y = (1/2)x + 8

Step-by-step explanation:

Slope: (4-7)/(-8--2) = (-3)/(-6) = 1/2

y = (1/2)x + b

7 = (1/2)-2 + b

7 = -1 + b

8 = b

y = (1/2)x + 8

Answer:

Monthly deposit= $684.23

Step-by-step explanation:

Giving the following information:

Number of periods= 5*12= 60 months

Interest rate= (0.09/12)= 0.0075

Future value= $51,607.5

To calculate the monthly deposit, we need to use the following formula:

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (51,607.5*0.0075) / [(1.0075^60) - 1]

A= $684.23

The maturity value of the loan is $587.36.

To calculate the maturity value of the loan, we first need to find the interest charged on the principal amount.

The formula to calculate the interest charged on a loan is:

Interest = (Principal x Rate x Time)/100

Where,

Time = 0.1918 (rounded to 4 decimal places)

Now, we can substitute the values in the formula:

Interest = (570 x 16 x 0.1918)/100 = $17.36 (rounded to 2 decimal places)

The maturity value of the loan is the sum of the principal and interest.

Maturity value = Principal + Interest = $570 + $17.36 = $587.36

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There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.

LRU replacement policy

There are 5 hits and 3 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the LRU replacement policy.

The status of the cache after each address is accessed is as follows:

Address of Memory Block Accessed | Evicted Block | Hit or Miss

--------------------------------|------------|------------

0                              | N/A         | Hit

2                              | N/A         | Hit

4                              | 0           | Miss

8                              | 2           | Hit

10                             | 4           | Miss

12                             | 8           | Hit

14                             | 12          | Miss

8                              | 14          | Hit

0                              | 8           | Hit

4.2 - MRU (most recently used) replacement policy

There are 4 hits and 4 misses in the address sequence 0, 2, 4, 8, 10, 12, 14, 8, 0 using the MRU replacement policy.

The status of the cache after each address is accessed is as follows:

Address of Memory Block Accessed | Evicted Block | Hit or Miss

--------------------------------|------------|------------

0                              | N/A         | Hit

2                              | N/A         | Hit

4                              | 0           | Miss

8                              | 2           | Hit

10                             | 4           | Miss

12                             | 8           | Hit

14                             | 10          | Miss

8                              | 12          | Hit

0                              | 14          | Hit

As you can see, the LRU replacement policy results in 1 fewer miss than the MRU replacement policy. This is because the LRU policy evicts the block that has not been accessed in the longest time, while the MRU policy evicts the block that has been accessed most recently.

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Answer:

115x-12x

Step-by-step explanation:

3(9-X) x 4+7

12(9-X)+7

108-12x +7

115-12x

Answer:

x would be 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle x is vertically opposite to the angle 100°.

According to property of vertical angles, their measures are equal:

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

y=4/3x+4

Step-by-step explanation:

Slope intercept form is y=mx+b

m is always the slope and b is always the y-intercept

These are the steps to find the equation of any graph:

First, fine the y-intercept. That's the point where the graph crosses the y-axis (the line going up and down). So b=4

Then, to find the slope, you literally count how many you go up or down (rise) and left or right (run) to get to another point. You can choose any point on the graph you want. I'll choose the point (-3,0). So you start at (0,4) and you go down 4 and left 3 to get to the second point. So the slope = rise/run = -4/-3 so m=4/3

Now plug the slope (m) and y-intercept (b) into the slope-intercept equation

y=mx+b

y=4/3x+4

Follow these steps for any similar problem, just start with the y-intercept and count the rise over run to find the slope, then plug in the slope and the y-intercept.

Answer 23:

Lina would pay $19,600 in the four years.

Step-by-step explanation:

To find the answer of this problem, you'll first have to find how much she payed in interest.

To find the interest:

\(\frac{14,000}{x}\)=\(\frac{4}{100}\)  (Cross Multiply)

or if you like the equation version: x=.04($14,000) = $5,600

Great! Now you've gotten the interest she has to pay. Now that you have that, add the interest and the total she borrowed from the bank.

$14,000 + $5,600 = $19,600

There you go, and that is you find the answer to Problem 23.

The most specific name for the figure is an isosceles trapezoid

From the question, we have the following parameters that can be used in our computation:

The figure

The properties of the given figure are

Using the above as a guide, we have the following:

The figure is a trapezoid

Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid

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Answer:

Step-by-step explanation:

Where we have "x" must replace for the number shown on table

We have for "x" tha numbers: 0; 1; 2; 3; 4 and 5

Equation:

1.y = x+4

y = x + 4

For x = 0

y = x + 4

y = 0 + 4

y = 4

For x = 1

y = x + 4

y = 1 + 4

y = 5

For x = 2

y = x + 4

y = 2 + 4

y = 6

For x = 3

y = x + 4

y = 3 + 4

y = 7

For x = 4

y = x + 4

y = 4 + 4

y = 8

For x = 5

y = x + 4

y = 5 + 4

y = 9

So:

x     y

0    4

1     5

2    6

3    7

4    8

5    9

I hope help you.

Answer:

6.9

Step-by-step explanation:

Answer:

6.9

You have to convert it into a improper fraction,like 69/10 divide that and the decimal version will be 6.9. So just like put the 6 with the numerator(9) and make that new number divide the denominator (10).

To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:

# Create the matrix

myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)

This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.

To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:

# Overwrite the second column

myMatrix[, 2] <- c(8, 9, 11, 17)

This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.

Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:

# Save the updated matrix

BruceLee <- myMatrix

Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.

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a) Monthly instalments = $141.90, calculated using the present value of an annuity formula and 1.25% monthly interest rate.

b) Total cost of buying the laptop on HP = $2172.80, including the deposit amount and total instalments paid over the 12-month period.

a) The deposit amount is $1850 x 20% = $370. The remaining balance to be paid is $1850 - $370 = $1480. The interest rate charged per month is 15%/12 = 1.25%. Using the formula for the present value of an annuity, the monthly instalments can be calculated as $141.90 (rounded to the nearest cent).

b) The total cost of buying the laptop on HP can be calculated by adding the deposit amount to the total amount paid over the 12-month period. Therefore, the total cost is $370 + ($141.90 x 12) = $2172.80.

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Answer:

31.0

Step-by-step explanation:

The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.

Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers

= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37

= 248

The mean = 248/8

= 31

Answer:

60%

Step-by-step explanation:

15 of the 25 students are boys

number of boys over the total number of students in the class multiplied by 100% gives the percentage of boy students in the class

=15/25 ×100%

=60%