The table below represents...

The equation of the shifted line is y = x + 2

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

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

To know more about mean:

https://brainly.com/question/28108712

#SPJ1

36) yes 37) No 38) No 39) yes 40) yes 41) yes

First to determine which of the question falls under linear function, we need to understand what a linear function is.

A linear function is in the form of :

Where y is the dependent variable, x is the independent variable, m is the slope and c represent the constant.

The graph of a linear function is a straight line. The variables are raised to the power of one. It is also written in the form of :

From the above, let's determine the questions that fall under linear function.

36) 3x+4y=12

by making y the subject of formula:

y = -3x/4 + 12/4

y = -3x/4 + 3

This is a linear function

This is not a linear function. The variables are raised to the power of 2.

This is not a linear function. one of the variables is raised to the power of 3.

39) y = 6x -19

This is a linear function.

40) f(x) = -2x+9

f(x) is the same as y:

y = -2x+9

This is a linear function

41) 1/x + 3y = -5

making y the subject of formula

3y = -1/x -5

y = -1/3x -5/3

This is also a linear function.

Answer:

\(y(x)=C_1e^{4x}+C_2e^{4x}\)

Step-by-step explanation:

To solve a second-order homogeneous differential equation, we need to substitute each term with the auxiliary equation \(am^2+bm+c=0\) where the values of \(m\) are the roots:

\(y''-8y'+16y=0\\\\m^2-8m+16=0\\\\(m-4)^2=0\\\\m-4=0\\\\m=4\)

Since the values of \(m\) are equal real roots, then the general solution is \(y(x)=C_1e^{m_1x}+C_2e^{m_1x}\)

Thus, the general solution for our given differential equation is \(y(x)=C_1e^{4x}+C_2e^{4x}\)

Answer:

It means his IQ score is better than 91% of the other students scores and scored less than only 9% of the other students.

Step-by-step explanation:

Percentile is not the same as percentage. While percentage is the score gotten out of 100, whereas, percentile means that you are scored better than that percentage of people.

Thus, for his IQ score to be in 91st percentile, it means he scored above 91% of the other students, and only scored lesser than 9% of the students.

222 people were influenced by brand.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To determine how many people were influenced by brand, we need to add up the number of people who said "brand" as one of their influencing factors. However, we need to be careful not to double-count those who selected multiple factors.

Let's start by creating a diagram of the data:

         | Color | Size | Brand | Total

Only      |   5   |  8   |   16  |   29

Color/Size|  20   |  0   |   42  |   62

Size/Brand|   0   |  53  |   42  |   95

All Three |   0   |  0   |  102  |  102

None      |  20   |  20  |   20  |   60

Total     |  45   |  81  |  222  |  348

From this table, we can see that 222 people said that brand influenced their choice of cell phone.

Therefore, 222 people were influenced by brand.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

Answer:

sin( 3pi/4 ) = -√2/2

So, B.

Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.

What is compound interest?

compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.

Capital(p) = $6400

Rate of interest(r) = 11%

Years(n) = 3

The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).

Now

\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)

The entire amount (Capital+interest) is equal to $8752.8384.

If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)

Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.

Learn more about compound interest from the given link

https://brainly.com/question/28020457

#SPJ1

The arrows are pointing between of variance in the data.

Between group variance gives how much the independent variable affected the dependent variable in the study

A variable whose variation does not depend on that of another.

A variable whose value depends on that of another.

r sq gives the percentage variation in dependent variable explained by independent variable

r sq=between group variance/total variance.

Therefore, the arrows are pointing between variance in the data.

For more such questions on Arrows

https://brainly.com/question/30044695

#SPJ4

Answer:

y = -2x + 5

Step-by-step explanation:

Points on the path: (0, 5) and (1, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-5)/(1-0)

m= (-2)/1

m= -2

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -2(x - 0)

y - 5 = -2x

y = -2x + 5

Answer:

Step-by-step explanation:

u put the gs with each other by flipping the one that was changed

3.6g-1.6g=8-2

2g=6

g=6/2

g=3

Answer:

g=3

Step-by-step explanation:

3.6g+2= 1.6g+8

-1.6g      -1.6g

2g+2= 8

    -2    -2

2g=6

6/2=3

g=3

Answer:

a) x = 9.

b) y = 61.

Step-by-step explanation:

As the 2  weighing scales balance:

4 + 4x = 31 + x

3x = 31 - 4 = 27

x = 9.

Also 4 + 4x + x + 31  = y + 2x + 1

Substituting  for x:

4 + 4(9) + 9 + 31 = y + 2(9) + 1

80 = y + 19

y = 80 - 19 = 61.

Answer:

x = 9

y = 61

Step-by-step explanation:

The main scales are balanced.

The left side of the main scales comprises another scale, which is also balanced.

From this and the values given, we can construct two equations.

Equation 1

Balancing the scales on the left of the main scales:

⇒ 4 + 4x = 31 + x

Solving this for x:

⇒ 4 + 4x - 4 = 31 + x - 4

⇒ 4x = 27 + x

⇒ 4x - x = 27 + x - x

⇒ 3x = 27

⇒ 3x ÷ 3 = 27 ÷ 3

⇒ x = 9

Equation 2

Balancing the main scales:

4 + 4x + 31 + x = y + 1 + 2x

Rearranging to make y the subject:

⇒ 5x + 35 = y + 1 + 2x

⇒ 5x + 35 - 1 = y + 1 + 2x - 1

⇒ 5x + 34 = y + 2x

⇒ 5x + 34 - 2x = y + 2x - 2x

⇒ 3x + 34 = y

Substituting the found value of x (from Equation 1) and solving for y:

⇒ y = 3(9) + 34

⇒ y = 27 + 34

⇒ y = 61

Therefore:

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

Learn more about distribution here: https://brainly.com/question/24520301

Answer:

\(\large\boxed{\sf tanU =\dfrac{\sqrt5}{2}}\)

Step-by-step explanation:

Here we are interested in finding the value of tanU in simplest radical form. From the given right angled triangle, we can see that with respect to angle U , perpendicular is ST and base is UT .

Also the measures of,

In a right angled triangle, tangent is defined as the ratio of perpendicular and base . So , we have ;

\(\implies \tan\theta = \dfrac{p}{b} \\\)

\(\implies \tan\theta =\dfrac{ST}{UT} \\\)

Substitute the respective values ,

\(\implies \tan\theta =\dfrac{\sqrt{80}}{8} \\\)

Here the angle is U , so that ;

\(\implies\tan U =\dfrac{\sqrt{80}}{8} \\\)

This can we written as ,

\(\implies \tan U =\dfrac{2^2\cdot \sqrt5}{8} \\\)

\(\implies \tan U =\dfrac{4\sqrt{5}}{8} \\\)

HCF of 4 and 8 is 4 , so on dividing the numerator and denominator by 4 , we have ;

\(\implies \underline{\underline{\red{\tan U =\dfrac{\sqrt5}{2}}}} \\\)

Hence the value of tanU in simplest radical form is √5/2 .

Answer:

\(\tan U=\dfrac{\sqrt{5}}{2}\)

Step-by-step explanation:

To find the exact value of the tangent of an angle in a right triangle, use the tangent trigonometric ratio.

\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$\sf \tan(\theta)=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)

From inspection of the given right triangle STU, the side opposite angle U is ST, and the side adjacent angle U is UT.

Therefore:

Substitute these values into the tangent trigonometric ratio:

\(\implies \tan U=\dfrac{\sqrt{80}}{8}\)

Rewrite 80 as the product of 16 and 5:

\(\implies \tan U=\dfrac{\sqrt{16 \cdot 5}}{8}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\implies \tan U=\dfrac{\sqrt{16} \sqrt{5}}{8}\)

Simplify:

\(\implies \tan U=\dfrac{4\sqrt{5}}{8}\)

Divide the numerator and denominator by 4:

\(\implies \tan U=\dfrac{\sqrt{5}}{2}\)

Therefore, the exact value of tan U in simplest radical form is:

\(\boxed{\tan U=\dfrac{\sqrt{5}}{2}}\)

Answer:

18

Step-by-step explanation:

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

-3

Step-by-step explanation:

Answer:

112x-420

Step-by-step explanation:

(5x + 9)  (8x - 30)

distribute 5x into (8x-30)

then same with 9 into (8x-30)

then combine like terms and u will get da answer

hope this helps with da pic dat i attach  

The requried solution of the given expression is x = 13.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
5x + 9 = 8x - 30

Isolate the variable and constant terms

3x = 39
x = 39/3
x = 13

Thus, the requried solution of the given expression is x = 13.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

It should be 530 inches, so 44 feet.

Step-by-step explanation:

I am not 100% but I did 13.25 times 40.

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

\( b = \dfrac{17}{4} \)

Step-by-step explanation:

5 = 4(b-3)

Distribute the 4 on the right side.

5 = 4b - 12

Add 12 to both sides.

17 = 4b

Divide both sides by 4.

\( \dfrac{17}{4} = b \)

Answer: \( b = \dfrac{17}{4} \)

Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

To learn more about the average from the given link

https://brainly.com/question/1136789

#SPJ1

Answer:

142.24$

Step-by-step explanation:

112 = 100% 9x112

/ 100100. = 10.08$

? = 9%

112 = 100% 18x112 /100 =. 20.16$

? = 18%

so.......

112$ + 20.16$ + 10.08$

= 142.24$

Given the expression "The product of 8 and a number, all subtracted from 12"

let x be "the number", then:

12 - 8x