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June is driving from Brookline, Massachusetts, too Brooklyn, New York. The cities are about 200 miles apart. Consider the following function. The miles left June has to drive, l, is a function of c, the miles she has already driven. Write a formula that describes this function.
L=(formula)

Therefore , the solution of the given problem of parallelograms comes out to be C and R are equally distanced from point N, the midpoint of UE and RN Equals NC.

In Euclidean mathematics, a simple quadrilateral of two sets of equal distances is referred to as a parallelogram. In a specific kind of quadrilateral known as a parallelogram, both set of opposite sides are straight and equal. There are four types of parallelograms, 3 of which are each mutually exclusive. Rhombuses, parallelograms, squares, but also rectangles are the four distinct shapes.

Here,

We must demonstrate that OM = MR in order to establish that O is CR's middle.

=>  CO / OU Equals RC / UE

This solution can be rearranged to account for RC:

=>  RC Equals UE * (CO / OU)

But we also understand that OU = CO (since they are diagonals of the same parallelogram). Therefore:

=>  RC = UE

This indicates that point M, the CR's centre, is equally spaced from C and U. Or put another way, OM Equals MU.

To demonstrate that O is also the midpoint of UE, we can use a similar argument.

Triangles CRU and EUC are comparable to one another (by AA resemblance), so we have:

=>  UE/CR equals UC/CR

To solve for UE, rearrange this equation as follows:

=> UE = UC

As a result, C and R are equally distanced from point N, the midpoint of UE. That is to say, RN Equals NC.

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Answer:

\(y=- \sqrt{\dfrac{1}{2}x}\)

Step-by-step explanation:

Parent functions are the simplest form of a given family of functions.

Transformations of graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

\(\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a \\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a \end{aligned}\)

\(y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}\)

Given parent function:

\(y=\sqrt{x}\)

Horizontal stretch:

As this is a horizontal stretch, the x variable should be multiplied by a value between zero and 1:

\(\implies y= \sqrt{\dfrac{1}{2}x}\)

Reflected in the x-axis:

To reflect a function in the x-axis, simply make the function negative:

\(\implies y=- \sqrt{\dfrac{1}{2}x}\)

Answer:

X = 7

Step-by-step explanation:

1. Simplify

(1/2)4x-5= (1/4)4x+2

2x-5=x+2

2. Add 5 to both sides.

2x-5=x+2

2x-5+5=x+2+5

3. Simplify once again.

2x-5+5=x+2+5

2x=x+7

So,

x = 7

Hope this helps!!!

Answer:

Yes its correct the unhighlighted is complement

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

Answer:

21%

Step-by-step explanation:

Out of the 25 + 9 + 12 + 21 + 12 + 21 = 100 total rolls, 6 came up 21 times so the percentage is 21/100 = 21%.

Answer:

73

Step-by-step explanation:

97 - 2 × (16 - 4) ← evaluate parenthesis

= 97 - 2 × 12 ← evaluate multiplication

= 97 - 24 ← evaluate subtraction

= 73

Answer:

73

Step-by-step explanation:

97 - 2 x (16-4) =

97 - 2 x (12) =

97 - 24 =

73

A political scientist surveyed 28 of the current 101 representatives in a state's congress.

The size of the sample is 28.

Sample size :

A sample is a small part of a population chosen for statistical research.

The sample size refers to the number of individuals in a sample, as the name suggests.

It has a significant impact on the data's accuracy and precision.

A larger sample size will reduce the sampling error, allowing the findings to be more accurate.

A political scientist has surveyed 28 of the current 101 representatives in a state's congress.

So, the size of the sample is 28.

The size of the sample is the number of participants in a study who are selected from the population.

To assess results, researchers use data from a sample of a population.

Sample size determines the accuracy of survey findings.

Larger samples lead to more reliable results because they represent the population more effectively.

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The sοlutiοn οf the given prοblem οf area cοmes οut tο be the side length rises by 1, the area grοws and then shrinks by an equal factοr.

Calculating hοw much space wοuld be needed tο fully cοver the οutside will reveal its οverall size. When determining the surface οf such a trapezοidal fοrm, the surrοundings are additiοnally taken intο accοunt. The surface area οf sοmething determines its οverall dimensiοns. The number οf edges here between cubοid's fοur trapezοidal extremities determines hοw much water it can hοld inside.

Here,

Optiοn B

The area grοws initially and then decreases by an amοunt equivalent tο the side length multiplied by 1. The area grοws befοre decreasing by an equivalent amοunt.

This is the case because a square's surface and side length are inversely prοpοrtiοnal. Where r is the οriginal side length, the area grοws by a factοr οf (1 + 2r + r2) as the side length rises by 1.

When r is big, hοwever, the term r2 dοminates and the area increase is less nοticeable.

Eventually, as r gets clοser tο infinite, the area increases οnly marginally and eventually reaches a limit.

As a result, as the side length rises by 1, the area grοws and then shrinks by an equal factοr.

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Complete question:

By applying the law of reflection to the ray of sunlight, the value of x is equal to 5.

The law of reflection is a theorem which states that the magnitude of the angle of incidence is equal to the magnitude of the angle of reflection when a ray of light is reflected off a surface such as a plane mirror.

Mathematically, law of reflection can be represented or modelled by this mathematical expression:

sinθi = sinθr

Where:

By applying the law of reflection to the ray of sunlight (see attachment), we have the following equation:

(3x - 10)° = (2x + 5)°

3x + 2x = 10 + 5

5x = 15

x = 15/3

x = 5.

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Answer:

35

What are the factors of 15?

1,15

3,5

It is a two digit number so it has to be 35 or 53

Add 18 to both numbers

35 + 18 = 53

53 + 18 = 71

35 became 53 so 35 is the answer

Hope this helps

Step-by-step explanation:

The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

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v = <3, -4>

Verifying || u || = 1

Answer:

C. 39/48 = 81%

Step-by-step explanation:

To determine the percentage of females who only said they like cats using the given two-way table, we need to find the number of females who selected "cats" only and divide it by the total number of females surveyed. We can then multiply the result by 100 to get the percentage.

According to the provided two-way table:

Number of females who only said they like cats = 39

Total number of females surveyed = 48

To calculate the percentage:

Percentage of females who only said they like cats = (Number of females who only like cats / Total number of females surveyed) * 100

Percentage of females who only said they like cats = (39 / 48) * 100 ≈ 81.25%

Therefore, the correct option is:

C. 39/48 = 81%

Answer:

thanks

Step-by-step explanation:

Answer:1- $52 {40+12(1)=}

5- $100 {40+12(5)=}

10 - $160 {40+12(10)=}

50 - $640 {40+12(50)=}

Answer:

x equals 12

Step-by-step explanation:

first you distribute 1/4 to the parentheses, then you multiply by 4 on both sides, collect like terms, move the constant to the right, calculate, and then divide both sides.

Answer:

3/10 of all the M & M's are red and blue.

Step-by-step explanation:

Given that 1/10 of the M & M's in a bag are red and 1/5 are blue, to determine what fraction of all the M & M's are red and blue, the following calculation must be performed:

1/10 = 0.10

1/5 = 2/10 = 0.20

1/10 + 2/10 = X

3/10 = X

Therefore, 3/10 of all the M & M's are red and blue.

the equation of the horizontal line passing through (-3, 4) is y = 4.

The equation of a horizontal line is of the form y = c, where c represents the y-coordinate of any point on the line. In this case, we are given that the line passes through the point (-3, 4). Since the line is horizontal, the y-coordinate remains constant for all points on the line.

Therefore, the equation of the horizontal line passing through (-3, 4) is y = 4. This means that no matter what x-value we choose, the y-value will always be 4.

In other words, all the points on this line will have a y-coordinate of 4.

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Complete question is below

Write the equation of the horizontal line that passes through (-3, 4).

The equation for the horizontal line that passes through a given point is y = b.

A horizontal line is a straight line that is parallel to the x-axis. The equation of a horizontal line is of the form y = c, where c is a constant. Since the line is horizontal, the value of y remains constant for all values of x. Therefore, the equation of a horizontal line passing through a given point (a, b) is y = b.

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Answer:

x = -1/2

Step-by-step explanation:

2x + 4y = 13

3x + y = 2    (you can multiply this equation by -4 in order to eliminate the y-term)

-4(3x + y = 2)  =  -12x - 4y = -8

                        +  2x + 4y = 13

-10x = 5

x = -5/10 or -1/2

x(-1/2) + 4y = 13

-1 + 4y = 13

4y = 14

y = 14/4 or 7/2 or 3 1/2

Answer:

pedro

Step-by-step explanation:

in 14 minutes resham can read 6 pages and pedro can read 8 just x2 on resham

Answer:

The multiplicative inverse of 7 is 1/7.

Step-by-step explanation:

A number's multiplicative inverse is its reciprocal.

hope i helped

-lvr

Answer:

D: 9, 12, 15

Step-by-step explanation:

Okay, this one is a very simple and a not so hard question. I understand that teachers prefer kids to not lay out all the terms, but in this case, it won´t be horrible in doing so!

Were going to plug 6 into n, and that will make the formula look like,

F(6)=3(6)-9

18-9=9 so the 6th term is 9

Plug in 7=

F(7)=3(7)-9

21-9=12

The 7th term is 12

Plug in 8=

F(8)=3(8)-9

24-9=15  8th term is 15

That means terms 6, 7, and 8 are: 9, 12, 15

Answer:

D. 9, 12, 15

The integral ∫C F · dr using Green's Theorem is equal to the double integral ∬D curl(F) · dA, where the limits of integration are x = 0 to x = 1.

To evaluate the integral ∫C F · dr using Green's Theorem, we need to calculate the double integral of the curl of F over the region R enclosed by the curve C.

Given F = (√x + 6y, 2x + 6y) and C being the boundary of the region enclosed by y = x – x² and the x-axis, we can parametrize the curve C as r(t) = (t, t - t²) for t in the range [0, 1].

We can then compute the partial derivatives of the vector field F:

∂F/∂x = (1/2√x, 2)

∂F/∂y = (6, 6)

Calculating the curl of F:

curl(F) = ∂F/∂x - ∂F/∂y = (1/2√x - 6, 2 - 6) = (1/2√x - 6, -4)

Now, we need to find the area D enclosed by C, which is the region between the curve y = x - x² and the x-axis. To find the limits of integration, we set the curve equal to zero and solve for x:

x - x² = 0

x(1 - x) = 0

This gives us two points: x = 0 and x = 1.

Using Green's Theorem, the integral ∫C F · dr is equal to the double integral of curl(F) over the region D:

∫C F · dr = ∬D curl(F) · dA

Now, we can evaluate this double integral over the region D using appropriate limits of integration.

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The derivative dz/dt can be found using the chain rule. First, we differentiate z with respect to x, and then multiply it by dx/dt. Next, we differentiate z with respect to y, and multiply it by dy/dt.

The partial derivative of z with respect to x is obtained by differentiating each term of z with respect to x, giving us dz/dx = -sin(x) - ycos(xy). The partial derivative of z with respect to y is obtained by differentiating each term of z with respect to y, giving us dz/dy = -xcos(xy).

To find dx/dt and dy/dt, we differentiate x = 1/t and y = 4t with respect to t, giving us dx/dt = -1/t^2 and dy/dt = 4.

Now, we can substitute these derivatives into the chain rule formula:

dz/dt = dz/dx * dx/dt + dz/dy * dy/dt

= (-sin(x) - ycos(xy)) * (-1/t^2) + (-xcos(xy)) * 4

= sin(x)/t^2 + 4xcos(xy) - 4ycos(xy).

Therefore, dz/dt = sin(x)/t^2 + 4xcos(xy) - 4ycos(xy).

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The total values between 99 and 999 which are multiples of 2 are 450.

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

The number of multiple of 2 between 99 and 999.

Therefore, the first term is a = 100 as 100 is the multiple of 2, and we need to find the multiples of 2.

Therefore, the last term will be:

aₙ = 998

The common difference, d = 2

Using the formula for the arithmetic sequence:

aₙ = a + ( n - 1 )d

998 = 100 + ( n - 1 )2

( n - 1 )2 = 898

Dividing each side of the equation by 2,

n - 1 = 449

Adding 1 on each side of the equation,

n = 450

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The area below the curve y = f(x) and above the x-axis, between x = 0 and x = 3, is equal to 4.5 square units.

To find the area below the curve y = f(x) and above the x-axis between x = 0 and x = 3, we need to integrate the function f(x) over this interval. The integral represents the signed area between the curve and the x-axis.

Given f(x) = 6(x²-3x + 2), we can rewrite it as f(x) = 6x² - 18x + 12. To find the area, we integrate this function with respect to x from 0 to 3:

A = ∫[0,3] (6x² - 18x + 12) dx

Evaluating this integral, we get:

A = [2x³ - 9x² + 12x] from 0 to 3

Substituting the upper limit into the expression and subtracting the result for the lower limit, we have:

A = (2(3)³ - 9(3)² + 12(3)) - (2(0)³ - 9(0)² + 12(0))

= (54 - 81 + 36) - (0 - 0 + 0)

= 9 - 0

= 9 square units.

Therefore, the area below the curve y = f(x) and above the x-axis, between x = 0 and x = 3, is equal to 9 square units.

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Answer:

x = √30

Step-by-step explanation:

For an equilateral triangle, the measure of the angle at each vertex is 60 degrees

Thus, the angle 60 faces the side measure x

Also, the given length is adjacent to the angle 60 measure

Mathematically, the trigonometric ratio that links the adjacent and the opposite is the tan

The tan is the ratio of the opposite to the adjacent

Thus;

Tan 60 = x/ root 10

x = root 10 * tan 60

x √(10 * √(3

x = √30

The length of \(x\) is required.

The length of \(x\) is \(\sqrt{30}\ \text{units}\)

In an equilateral triangle the altitude divides the side into halves.

So, the hypotenuse will be \(\sqrt{10}+\sqrt{10}=2\sqrt{10}\)

From the Pythagoras theorem we have

\(x^2+(\sqrt{10})^2=(2\sqrt{10})^2\\\Rightarrow x=\sqrt{(2\sqrt{10})^2-(\sqrt{10})^2}\\\Rightarrow x=\sqrt{30}\)

The length of \(x\) is \(\sqrt{30}\ \text{units}\)

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Answer:

5.8 * 10^26 kg

Step-by-step explanation:

If the mass of the earth is 1/95 of that if saturn, this means that the mass of saturn is 95 times that of earth

From the question we were given the mass of the earth as 5.97 * 10^24

The mass of saturn is thus 95 * 5.97 * 10^24 =

576.15 * 10^24

This is 5.8 * 10^26 kg

Answer:

Top left because its 3:15-4:45

Step-by-step explanation:

Answer:

the top left one

Step-by-step explanation:

each line represents 15 minutes

it starts at 3:15 and end at 4:45 and there is a 1 and a half hour difference between these two times