Enter the value of 3.4. (6 + 12).

Answer:

a) -|x+4|

b) |x-1| -6

Step-by-step explanation:

First, we can compare the functions to f(x)

For (a), the graph seems to be

- flipped upside down

- moved to the left by 4 units (we can tell this because the x intercept is at -4 instead of 0)

First, -f(x) turns a function upside down. Therefore, we have -f(x) = -|x| (this is our new f(x) for (a)).  Then, f(x+b) shifts a function b units to the left, so we have f(x+4) = -|x+4|. Note that the 4 is inside the absolute values as it is f(x+b) and not f(x) + b. For f(x+b), we substitute x+b for x. For f(x)+b, we add a b at the end.

For (b), the graph seems to be

- moved to the right by 1 unit (the turning point in the slope is at x=1)

- moved down 6 units (the turning point in the slope is at y=-6)

First, f(x-b) shifts the function b units to the right, so we have f(x-1) = |x-1|

Then, f(x) - b shifts the function b units down, so we have f(x) - 6 = |x-1|-6

a matrix is a collection of integers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the integers, which are referred to as its elements.

Linear algebra is a subfield of mathematics that mostly uses matrices. When you start solving linear equation systems, linear algebra first starts to seem good. You may concentrate on the figures and greatly simplify the procedure by condensing all the information into a single large chart and leaving out the rest.

Almost as their name implies, square, symmetric, triangular, and diagonal matrices. All-zero identity matrices except along the major diagonal, where the values are

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Answer:

a .yes

b.no

c

d.yes

e.no

f

g

h

The length of the ramp is  96.5

Given the following parameters from the question

The vertical rise of the ramp = 8 inches

The angle of elevation =  4.76°.

Required

length of the ramp

Using the SOH CAH TOA identity;

tan theta = opp/hyp

sin4.76 = 8/H
H = 8/sin4.76

H = 8/0.0829

H = 96.5

Hence the length of the ramp is  96.5

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Answer:

hello the (b) part of your question is incomplete below is the complete part

(b) Assume that player one has 10 land cards in their deck and player two has 20.With what probability will player one have  two lands and player two have three lands in hand

answer: A) 0.0135

             B) 0.102

Step-by-step explanation:

A ) probability of each player having four lands in their hand

Given data:

player 1 having 10 land cards

player two(2) having 20 land cards

The probability can be calculated as attached below  

= 0.0135

B) probability of player one having  two lands and player two have three lands in hand

Given data:

player one (1) having 10 land cards

player two having 20

The probability of player one having  two lands and player two have three lands in hand   can be calculated as attached below

= 0.102

The second pair of points representing the solution set of the system of equations is (-6, 29).

To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.

Given the system of equations:

y = x^2 - 2x - 19

y + 4x = 5

Substituting the x-coordinate of the second point (-6) into equation 2:

y + 4(-6) = 5

y - 24 = 5

y = 5 + 24

y = 29

Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).

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Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

y = x2 − 2x − 19

y + 4x = 5

The pair of points representing the solution set of this system of equations is (-6, 29) and

_________.

Answer:

Step-by-step explanation:

Answer:

A, B, D and E are the correct answers because they are all true

Answer:

Step-by-step explanation:

Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):

\(\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}\) which simplifies to

\(\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}\) which simplifies further to

\(\frac{\frac{3-x-2}{3x+6} }{x-1}\) and

\(\frac{\frac{1-x}{3x+6} }{x-1}\)  Bring up the lower fraction and flip it and multiply:

\(\frac{1-x}{3x+6}*\frac{1}{x-1}\)  In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:

\(-\frac{x-1}{(3x+6)(x-1)}\) and now the x-1 terms cancel out, leaving us with:

\(-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111\)

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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The set of points on this graph is a relation but not a function

We know that every function can be a relation but every relation cannot be a function.

A relation means the connection between the input and the output.

A function means that for every input there should only be one output.

Here, we have the data as:

(2,5), (1,2), (3,4), (3, 1), (6,5) and  (5,3)

We can say that it is a relation as for every input, there is an output.

But, it is not a function.

This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.

Therefore, the set of points on this graph is a relation but not a function.

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The calculated area of the quadrilateral is 35.82 square units.

Given that

BAse = 6.5

Height = 5.51

To find the area of a quadrilateral, we need to multiply the base by the height.

Area of quadrilateral = base x height

Substituting the given values, we get:

Area = 6.5 x 5.51

Area = 35.815

Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.

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Answer:

To solve for x, you must multiply by the reciprocal.

In this case, multiply both sides by \(\frac{3}{2}\) .

When doing this the result will be x = 3

The value of y is 48

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48

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Answer:

Step-by-step explanation:

Let the depreciation rate is x per year, then we have:

Exponential function for this case is:

Value of the car after 3 years:

All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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Answer:

12

Step-by-step explanation:

P = is you add Length (L) plus Legnth (L) plus Width (W) plus Width (W)

4+4+2+2

a) Where the above conditions are given, this means that we can not reject the null hypothesis since the t-value = 0.31 and is greater thand the t-value which is 2.26

b) there is 95% confidence that the true mean lenght of novels written duing the pandemic falls within the range of 338 - 352 pages.

To test the above hypothesis , we used the two tailed t -test with a 95% confidence level.

T- value is computed as follows:

t = (sample mean - population mean)/ (sample Standard deviation/ √sample size)

Using the given values, we have:

t = (345/320)/(11/√10)
t = 0.31

Hence at 95% confidence leve, we have 2.26 as critical value.

Since 0.31  is less than the critical value, we cannot reject the null hypothesis.


B) to compute the 95% confidence interval for the mean lenght of the novels written during the pendemic:

Sample  ± (t-value x standard error)

Where:
Standard Error is given as = Sample Standard Deviation / √Sample size

Thus:

Standard Error = 11/√10
SE = 3.48

The 95% confidence interval therefore is:

345 ± (2.26 x 3.48
= 339.1, 351.9
≈ 339, 352.


Hence, it is correct to state that there is 95% confidence that the true mean length of novels written during the pandemic falls within the range of 338 - 352 pages.

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The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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The probability of obtaining a reading greater than 0.28°C is 0.3897.

What is standard normal distribution ?

The standard normal distribution is a specific type of probability distribution that has a mean of 0 and a standard deviation of 1. It is also called the Z-distribution or the Gaussian distribution.

The standard normal distribution is commonly used in statistics and probability theory to make comparisons and calculations across different normal distributions. To use the standard normal distribution for calculations involving a normal distribution with a different mean and standard deviation, the data must be standardized by subtracting the mean and dividing by the standard deviation.

According to the question:
To solve this problem, we need to standardize the value of 0.28°C using the standard normal distribution formula:

z = (x - mu) / sigma

where:

x = 0.28°C

mu = 0°C

sigma = 1.00°C

Substituting the values, we get:

z = (0.28 - 0) / 1.00

z = 0.28

Now, we need to find the probability of obtaining a reading greater than 0.28°C, which is the same as finding the area to the right of z = 0.28 on the standard normal distribution curve. We can use a standard normal distribution table or calculator to find this area.

Using a calculator or software, we find that the probability of obtaining a reading greater than 0.28°C is 0.3897, rounded to 4 decimal places.

Therefore, the probability of obtaining a reading greater than 0.28°C is 0.3897.

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Answer:

872.52

Step-by-step explanation:

Answer:84.14698639

Step-by-step explanation:

70*(1.0375)^5

=84.14698639

As per the expenses, the planning technique that is suitable for Alice is  strategic planning

The term expenses in math refers the cost that businesses incur in running their operations.

Here we have given that allice is interested in making deductible charitable contributions, but she does not want to incur the expense of drafting a private trust agreement.

And we need to find planning techniques will meet her needs

While we looking into the given question, we have identified that  she does not want to incur the expense of drafting a private trust agreement.

Based on these one, she would prefer strategic planning includes a high-level overview of the entire business and it is the foundational basis of the organization and will dictate long-term decisions.

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Answer:

WOMP WOMP WOMP!!!

Step-by-step explanation:

The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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Step-by-step explanation:

to eliminate the always positive absolute value at the end let's set y = -3x

that makes the absolute value term = 0 in all cases.

then we have

sqrt((x - 8)² + (-3x + 4)²)

the x-value that makes this a minimum result also makes

(x - 8)² + (-3x + 4)²

a minimum.

x² - 16x + 64 + 9x² - 24x + 16

10x² - 40x + 80

the x that makes this a minimum, also makes

x² - 4x + 8

a minimum.

we get the extreme value as zero of the first derivative :

0 = 2x - 4

4 = 2x

x = 2

so, we get the minimum of all these expressions for x = 2.

as y = -3x, we get y = -3×2 = -6.

the minimum value for the expression is with

x = 2

y = -6

so, the minimum value is

sqrt((2 - 8)² + (-6 + 4)²) + |-6 + 3×2| =

= sqrt((-6)² + (-2)²) + |-6 + 6| =

= sqrt(36 + 4) + 0 =

= sqrt(40) = 6.32455532...

An information that is needed to conclude that line segment EF is the bisector of ∠DEG include the following: m∠FEG ≅ ∠DEF.

In Mathematics and Geometry, an angle bisector simply refers to a type of line, ray, or segment, that typically bisects or divides a line segment exactly into two (2) equal and congruent angles.

By applying the angle bisector theorem, we can reasonably infer and logically deduce the following congruent angles;

m∠FEG ≅ ∠DEF (definition of angle bisector).

In conclusion, m∠FEG ≅ ∠DEF is the required information that proofs that line segment EF is the angle bisector of ∠DEG

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