Mr. Cauchy spends 35% of his monthly income on rent. What is his monthly income if his rent is $1400 per month?

Answer:

Option B is correct

Step-by-step explanation:

Hope that helped u

99% confidence interval for the number of chocolate chips per cookie is

15.4 ± 1.1115

The mean of sample plus and minus the range of that sample constitutes a confidence interval.

Within a specific level of confidence, this is the range of values anticipated to fall within, if the test is repeated.

Number of cookies in the sample n = 55

Mean μ = 15.4

Standard deviation s = 3.2

Confidence = 99%

For 99% confidence interval Z-value = 2.576

Confidence interval

= μ ± Zs/√n

= 15.4 ± 2.576×3.2/√55

= 15.4 ± (8.2432/7.4162)

= 15.4 ± 1.1115

Hence, 15.4 ± 1.1115 is the 99% confidence interval for the number of chocolate chips per cookie.

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Answer: C: y=6×6^x

Step-by-step explanation:

Hope this helps! Good luck!

Answer:

area: 5×27÷2

perimeter:8+27+34

Answer: \(\frac{1}{4} +\frac{1}{2}\)

Step-by-step explanation:

given data:

fraction = \(\frac{3}{4}\)

Solution:

se can make use of the fraction \(\frac{1}{4} + \frac{1}{2}\) to get same answer as shown bellow.

\(=\frac{1}{4} + \frac{1}{2}\)

first we look for the lcm of the denominators.

\(= \frac{2+1}{4}\)

\(=\frac{3}{4}\)

.

Answer:

y= 6x-53

Step-by-step explanation:

We know that parallel lines have the same slope. So, this line will also have a slope of 6.

We now have: y=6x+b

We need to find b. One way to this is to plug the coordinates of point P(9, 1).

We plug in 9 for x and 1 for y to solve for b:

1=6(9)+b

1=54+b

b=-53

So now we have the equation: y=6x-53

Answer:

Board 1 = 1.2m

Board 2 = 2.4m

Board 3 = 3.6m

Step-by-step explanation:

Board 1 = x

Board 2 = 2x

Board 3 = 3x
x + 2x + 3x = 6x

7.2 /6 = 1.2

Board 1 = 1.2

Board 2 = 2 (1.2) = 2.4

Board 3 = 3 (1.2) = 3.6

After losing 4 Kg ,the weight of Artur is 14 Kg .

In the question ,

it is given that ,

the ratio of weight of Max : Artur is 5 : 9 .

So the weights of Max and Artur before dieting is 5x and 9x .

Now Artur goes on dieting and lose 4 Kg weight and

the ratio of weight of Max and Artur becomes 5:7  .

and the weights of Max and Artur after dieting is  5x and 7x .

Present weight of Artur = 7x .

As we can see that the change in Artur weight is 9x - 7x = 2x

According to the question

2x = 4

x = 2

hence Artur now weighs 7*(2) = 14 Kg

Therefore , after losing, 4 Kg the weight of Artur is 14 Kg .

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The area of the parallelogram is 16 square units

We can use the cross product of two vectors to find the area of the parallelogram.

Let's take the vectors AB and AC:

AB =

(-3, 9) - (-5, 6) = (2, 3)

AC =

(1, 7) - (-5, 6) = (6, 1)

The cross product of these two vectors is:

AB x AC = (2, 3, 0) x (6, 1, 0) = (0, 0, 16)

The magnitude of this vector is the area of the parallelogram:

|AB x AC| = sqrt(0² + 0² + 16²) = 16

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Answer:

28° at top and 1° at bottom

Step-by-step explanation:

If you look at it u can see that it's even so you would know it would be the same answer on each side.

The value returned by the call binarySearch (input List, 6, 8, 70) is 7.

The method provided in the question is a recursive binary search that searches for a target value within a sorted ArrayList.

The binarySearch method takes four arguments - the ArrayList to search within, the lower and upper bounds of the search range, and the target value.
In this case, the input ArrayList is [e, 10, 30, 40, 50, 70, 70, 70, 70].

The call to binarySearch(inputList, 6, 8, 70) will search for the value 70 within the sub-range of the ArrayList from index 6 to index 8, inclusive.
The mid index is calculated as

(8+6)/2 = 7    

The value at index 7 is also 70, which matches the target value.

Therefore, the method will return the index 7, indicating that the target value was found at that position within the ArrayList.
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Answer:

y= -3

Step-by-step explanation:

I'll assume it is a linear line (straight line).

Sense the y-value doesn't change and stays -3, the equation for the line would be y= -3

And just so you know, the slope of the line would be 0.

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

Answer:

2m

Step-by-step explanation:

\(\frac{54}{18} =\frac{6}{x}\)

54x=108

x=2m

Answer:

A right triangle

Step-by-step explanation:

The angle of 90 degrees is a right angle

The requried price of an eraser and ruler is given as 0.15 Tetris and 0.25 Tetris respectively.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

1 GEL and 25 tetris = 1.25
1 GEL and 5 tetris = 1.05

We can set up two equations to find the unknown values of x and y:

1.25 = 5x + 2y  - - - - - -(1)

1.05 = 2x + 3y  - - - - - (2)

To solve the system of equations, we can substitute the value of y in the first equation using the second equation:

y = (1.25 - 5x) / 2

Substituting this value of y in the second equation:

1.05 = 2x + 3((1.25 - 5x) / 2)

x = 0.15

Now,
Put x = 0.15 equation 1,
e get
y = 0.25

Thus, the requried price of an eraser and ruler is given as 0.15 Tetris and 0.25 Tetris respectively.

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The total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is: 166,320 ways.

To calculate the number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars, we need to use the combination formula.

The number of tank cars, boxcars, and flatcars in the train yard are given as follows:

4 tank cars 12 boxcars 7 flat cars

We need to choose 2 tank cars out of 4, 5 boxcars out of 12, and 3 flatcars out of 7.

The combination formula is given by:

nCr = n! / r! * (n - r)!

where n is the total number of objects,

r is the number of objects being chosen at a time,

and ! represents the factorial of a number.

Substituting the values in the formula:

2 tank cars out of 4:

n1 = 4C2 = 4! / 2! * (4 - 2)! = 6 ways 5 boxcars out of 12:

n2 = 12C5 = 12! / 5! * (12 - 5)! = 792 ways 3 flatcars out of 7:

n3 = 7C3 = 7! / 3! * (7 - 3)! = 35 ways

Therefore, the total number of ways to make a train consisting of 2 tank cars, 5 boxcars, and 3 flatcars is:

n1 x n2 x n3= 6 x 792 x 35= 166,320 ways.

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Answer:

2.73

Step-by-step explanation:

You would need to run 2.73 miles to have ran 4.7 miles in all.

4.7 - 1.97

Answer:

570

Step-by-step explanation:

yan sagot ko ehh balakajan

The solution to the given system of equations y = x² + 10x + 11, y = x² + x - 7 is x = -2, y = -5.

The given set of equations

y = x² + 10x + 11 --- eqn(1)

y = x² + x - 7 --- eqn(2)

Solving the equations by elimination method

⇒ Subtracting eqn 2 from eqn 1, we get

⇒ y - y = x² + 10x + 11 - (x² + x - 7)

⇒ 0 = x² + 10x + 11 - x² - x + 7

⇒ 0 = 9x + 18

⇒ 9x = -18

⇒ x = -2

Put the value of x in eqn 1, and we get

⇒ y = (-2)² + 10(-2) + 11

⇒ y = 4 - 20 + 11

⇒ y = -5

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Answer:

D. no solutions

Answer:

The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, equivalent to T₍₁₀, ₄₎

Step-by-step explanation:

For a reflection across the line y = -x, we have, (x, y) → (y, x)

Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x

The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)

Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'

Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Answer: -11/2

Step-by-step explanation:

First, find the reciprocal of -16/121. Which is -121/16 (you can put the negative sign anywhere). Now, you must multiply the two fractions:

\(\frac{8}{11} *-\frac{121}{16}\)      

You can cross out the terms 8 and 16 because they can be simplified into 1 and 2. And you can cross out 11 and -121 because they can be simplified into 1 and -11:

= \(\frac{1}{1} * -\frac{11}{2}\)

Now multiply the numerators together, and multiply the denominators:

= \(-\frac{11}{2}\)

Answer:

Step-by-step explanation:

Use simple interest formula:

Given:

Find the amount of interest:

Correct choice is B

Interest be I

\(\\ \tt\hookrightarrow I=\dfrac{PRT}{100}=\dfrac{32000(7)(0.5)}{100}=\dfrac{112000}{100}=1120\$\)

Answer:

15x+5

Step-by-step explanation:

(7x+5)+(8x)

An effective visual representation of a function or a mapping between two sets is a mapping diagram. It consists of two vertical columns, one of which represents the domain set items and the other of which represents the range set elements. The items in the range set that match to those in the domain set are listed in the right column, and vice versa.

I assume you are given a mapping rule that relates elements in a set to other elements in another set, and you are asked to complete a mapping diagram based on this rule.

If the mapping rule is not specified, we cannot determine the values of a and b. However, assuming that the mapping rule is such that each element (x, y) in the set R is mapped to \((x + a, y + b)\), we can complete the mapping diagram as follows:

The given set R is:

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}

If we apply the mapping rule to each element in R, we get:

(-3, -2) → (-3 + a, -2 + b)

(-3, 0) → (-3 + a, 0 + b)

(-1, 2) → (-1 + a, 2 + b)

(1, 2) → (1 + a, 2 + b)

To complete the mapping diagram, we need to find the values of a and b such that each mapped element is in the set R. That is, we need to find a and b such that:

(-3 + a, -2 + b) ∈ R

(-3 + a, 0 + b) ∈ R

(-1 + a, 2 + b) ∈ R

(1 + a, 2 + b) ∈ R

Substituting the values of R into each of these equations, we get:

(-3 + a, -2 + b) = (-3, -2), which gives a = 0 and b = 0

(-3 + a, 0 + b) = (-3, 0), which gives a = 0 and b = 0

(-1 + a, 2 + b) = (-1, 2), which gives a = 0 and b = 0

(1 + a, 2 + b) = (1, 2), which gives a = 0 and b = 0

Therefore, the values of a and b that complete the mapping diagram are a = 0 and b = 0.

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