Solve the system of equations graphed on
the coordinate axes below.
y=-3x - 5
y =4/3x-5

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

4/6

6/9

just multiply both sides by 2 and then u have an equivalent fraction

Step-by-step explanation:

have a good day and i hope i helped!

37.902

Step-by-step explanation:

3.14x12+12

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

Learn more about determining the percentage at https://brainly.com/question/24877689.

#SPJ1

Part A: β₂ = β₁ + 10 log₁₀ (f)

Part B: Δβ = 20 log10 (d₁/d₂)

This can be solved using the concept of sound intensity.

While amplitude is the distance between a wave's resting position and its crest, sound intensity is defined as the sound power per unit area. The power carried by sound waves per unit area in a direction perpendicular to that region is known as sound intensity or acoustic intensity. The watt per square metre is the SI measure of intensity that includes sound intensity.

Part A:

β₂ - β₁ = 10 log₁₀ (I₂/I₁)

given that : I₂ = f × I₁

hence, I₂/I₁ = f

so the equation becomes:

β₂ - β₁ = 10 log₁₀ (f)

β₂ = β₁ + 10 log₁₀ (f)

Part B:

P = Power by the source

I₁= intensity at distance d1 = P/(4πd₁²)

I₂ = intensity at distance d2 = P/(4πd₂²)

Δβ = β₂ - β₁ = 10 log₁₀ (I₂/I₁)

β₂ - β₁ = 10 log₁₀ ((P/(4πd₂²))/(P/(4πd₁²)))

Δβ = 10log₁₀  ((d₁/d₂)²)

Δβ = 20log₁₀ (d₁/d₂)

To know more about sound intensity refer to:

https://brainly.com/question/8120687

#SPJ4

The given equations: 5(x - 2) = 5x - 7, - 3(x - 4) = - 3x + 12, 4(x + 1) = 3x + 4, 2(x - 3) = 2x - 6, 6(x + 5) = 6x + 11, have no solution, infinitely many solutions, one solution, one solution, and no solution respectively.

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign."

Given equations are:

1. 5(x - 2) = 5x - 7

⇒ 5x - 10 = 5x - 7

Therefore, this equation has no solution.

2. - 3(x - 4) = - 3x + 12

⇒ - 3x + 12 = - 3x + 12

Therefore, this equation has infinitely many solutions.

3. 4(x + 1) = 3x + 4

⇒ 4x + 4 = 3x + 4

⇒ x = 0

Therefore, this equation has only one solution.

4. - 2(x - 3) = 2x - 6

⇒ - 2x + 6 = 2x - 6

⇒ 4x = 12

⇒ x = 3

Therefore, this equation has only one solution.

5. 6(x + 5) = 6x + 11

⇒ 6x + 30 = 6x + 11

Therefore, this equation has no solution.

Learn more about an equation here: https://brainly.com/question/12283977

#SPJ3

Answer:

Given equations are:1. 5(x - 2) = 5x - 7⇒ 5x - 10 = 5x - 7Therefore, this equation has no solution.2. - 3(x - 4) = - 3x + 12⇒ - 3x + 12 = - 3x + 12Therefore, this equation has infinitely many solutions.3. 4(x + 1) = 3x + 4⇒ 4x + 4 = 3x + 4⇒ x = 0Therefore, this equation has only one solution.4. - 2(x - 3) = 2x - 6⇒ - 2x + 6 = 2x - 6⇒ 4x = 12⇒ x = 3Therefore, this equation has only one solution.5. 6(x + 5) = 6x + 11⇒ 6x + 30 = 6x + 11Therefore, this equation has no solution.

Step-by-step explanation:

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

9514 1404 393

Answer:

  $2505.80

Step-by-step explanation:

After the first exchange, the tourist has ...

  $3000(12.90 R/$) = R38,700

After 7 days, she has ...

  R38,700 -7(R900) = R32,400

After the second exchange, she has ...

  R32,400 × ($1/R12.93) = $2505.80

She gets $2505.80 at the second exchange.

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{4}}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{4}} ~\hfill \stackrel{reciprocal}{\cfrac{4}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{4}{-3}\implies \cfrac{4}{3}}}\)

so we're really looking for the equation of a line whose slope is 4/3 and it passes through (3 , 5)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{4}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{ \cfrac{4}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-5=\cfrac{4}{3}x-4\implies {\LARGE \begin{array}{llll} y=\cfrac{4}{3}x+1 \end{array}}\)

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

A function that represents a reflection of \(f(x) = \frac{3}{8} (4)^x\) across the y-axis include the following: D. \(g(x) = \frac{3}{8} (4)^{-x}\).

In Mathematics and Geometry, a reflection over or across the y-axis or line x = 0 is represented and modeled by this transformation rule (x, y) → (-x, y).

This ultimately implies that, a reflection over or across the y-axis or line x = 0 would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the parent exponential function, we would have the following transformed exponential function:

(x, y)                                              →                 (-x, y).

\(f(x) = \frac{3}{8} (4)^x\)                               →              \(g(x) = \frac{3}{8} (4)^{-x}\)

Read more on reflection here: https://brainly.com/question/3399394

#SPJ1

Answer:

The third one trust me

Step-by-step explanation:

If you add them together you get the same thing

Answer:

B

Step-by-step explanation:

Got it right on edge, plz mark brainliest

Answer: 0.25

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

For more such questions on rank

https://brainly.com/question/28839672

#SPJ8

put some pictures

Answer:

Step-by-step explanation:

It is possible that the statement is a) true, but it depends on the specific differential equation in question (as the equation is not mentioned here is a general approach)

For some differential equations, it may be the case that the solutions behave in a certain way for large values of the independent variable. For example, the solutions may approach a particular value or exhibit some kind of oscillatory behavior. In such cases, it can be useful to study the behavior of the solutions as the independent variable gets large.

On the other hand, there may be differential equations for which the behavior of the solutions for large values of the independent variable is not particularly interesting or informative. In those cases, it may not be useful to consider how the solutions behave for large values.

So, the statement is not universally true, and its validity depends on the specific differential equation being considered.

For more such questions on Differential Equation: brainly.com/question/14620493

#SPJ4

Answer:

6

Step-by-step explanation:

Each line can be placed directly in the middle of each pedal and continues down to middle of pedal across from it and same thing for the divit in between each pedal

The number of lines of symmetry does the flower have is to be considered as the 6.

In terms of geometry, symmetry refer to the balanced and proportionate similarity that should be found in two halves of an object. It represents one-half to be the mirror image of the other half.

So here we can see that there are 6 parts so here the number of lines of symmetry should be 6.

Learn more about symmetry here: https://brainly.com/question/24335111

Answer:

2621440

Step-by-step explanation:

The 9th term of the geometric sequence 10, 40, 160, .........  will be 655,360.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

The sequence is given below.

10, 40, 160, .........

The first term is 10 and the common ratio of the sequence will be given as,

r = 40 / 10

r = 4

Then the equation of the geometric sequence is given as,

aₙ = 10 · (4)ⁿ⁻¹

The 9th term of the geometric sequence will be given as,

a₉ = 10 · (4)⁹⁻¹

a₉ = 10 · 65,536

a₉ = 655,360

The 9th term of the geometric sequence 10, 40, 160, .........  will be 655,360.

More about the geometric sequence link is given below.

https://brainly.com/question/11266123

#SPJ5

a matrix multiplication A x B is defined when:

number of columns of A = numbers of rows of B

A.

columns = 2

rows = 2

B.

Columns = 2

rows = 1

C.

Columns = 3

Rows = 2

Correct option= AC.

The five key points of the parent function are:

The function is given as:

y = -2 sin[2(x - 45)] + 1

The above function is a sine function, and the parent function of a sine function is

y = sin(x)

The properties of the above function are:

The transformed function is given as:

y = -2 sin[2(x - 45)] + 1

A sine function is represented as:

y = A sin[Bx + C] + D

Where:

Using the above representations, we have:

See attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1

Read more about sine functions at:

brainly.com/question/9565966

#SPJ1

Every member of a population is assigned a label. A computer's random number generator selects 10 members of the population to be in the sample. This is an example of a random sample.

random sampling is the fundamental sampling technique in which a group of subjects is selected for a particular study from a larger group, the population. Each subject is chosen purely by chance and each individual of the larger group (population) has an equal probability of being included in our sample.

Answer:

A. random sample

Step-by-step explanation:

The answer above is correct.

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8

Answer:

C

Step-by-step explanation:

The equation for the given scenario is y=50/57x-3.16.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

From the given figure, the coordinate points are (129, 110) and (300, 260).

Substitute (x₁, y₁)=(129, 110) and (x₂, y₂=(300, 260) is slope formula, we get

Slope (m) =(260-110)/(300-129)

= 150/171

= 50/57

Substitute, m=50/57 and (x, y)=(129, 110) in y=mx+c, we get

110=50/57 (129)+c

110=113.16+c

c= -3.16

Substitute, m=50/57 and c= -3.16 in y=mx+c, we get

y=50/57x-3.16

Therefore, the equation for the given scenario is y=50/57x-3.16.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Answer:

Y= 10x-24 would be parralel to y=10x+6

Step-by-step explanation:

well a parralel line has to have the same slope and a different y-intercept.

To find the y-intercept the x has to be exactly 0.

So we have (2,-4)

The slope is 10/1 which is 10y and 1 x which in an ordered park would be Add 1 x and add 10 y. But we’re trying to get x to be 0 to find the y-intercept.

So subtract 1 x and subtract 10y

2-1=1

-4-10=-14

(1, -14)

1-1=0

-14-10=-24

(0, -24)

THe y-intercept is -24 and w have the slope since its the same thing So

y=10x-24 is the equation

The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.

From the given table;

The volume of the first gas Layla bought = 3 gallons.

The cost of the 3 gallons = 9.45

Therefore the cost of 1 gallon = ?

That is:

3 gallons = $9.45

1 gallon = X

Make X the subject of formula:

X = 9.45/3 = $3.15

Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

Answer:

x = 1

Step-by-step explanation:

2 x \(x\) = 10

10 > -10

9 x \(x\) = 9

9 < 18

The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

Learn more about sine rule here: https://brainly.com/question/28523617

#SPJ1