If a certain number is added to the numerator and denominator of5/11 the result is 2/3 find the number

The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

6

56

this is answer

Step-by-step explanation:

Here we will show you how to calculate 6/7 divided by 8. We will give you the answer in fraction form and in decimal form.

Here is 6/7 divided by 8 displayed mathematically in colors:

6

7

÷

8

The numbers in 6/7 divided by 8 are labeled below:

6 = numerator

7 = denominator

8 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

6

7 x 8

=

6

56

Thus, the answer to 6/7 divided by 8 in fraction form is:

6

56

Answer:

x = between -3/4 and 3_1/5

x > 3_1/5 AND x < -3/4

Answer:

1. $990

2. Sn = Sn-1 + (r/100) * Sn-1

3. $27,037.44

Step-by-step explanation:

1. The interest earned each year can be calculated using the simple interest formula:

Simple Interest = (Principal * Rate * Time) / 100

Here, Principal = $22,000, Rate = 4.5%, and Time = 1 year

So, the interest earned each year would be:

= (22,000 * 4.5 * 1) / 100

= $990

Therefore, the interest earned each year would be $990.

2. The recurrence relation to model the value of investment from year to year is:

Sn = Sn-1 + (r/100) * Sn-1

where Sn represents the value of the investment after n years, Sn-1 represents the value after n-1 years, and r represents the annual interest rate.

Using this recurrence relation, we can calculate the value of the investment for different years:

- S1 = 22,000 + 990 = 22,990

- S2 = 22,990 + (4.5/100) * 22,990 = 24,026.55

- S3 = 24,026.55 + (4.5/100) * 24,026.55 = 25,103.46

And so on...

3. To determine the value of the investment after 5 years, we can simply substitute n = 5 in the recurrence relation:

S5 = S4 + (r/100) * S4

= S3 + (r/100) * S3 + (r/100) * S3

= S2 + (r/100) * S2 + (r/100) * S2 + (r/100) * S2

= S1 + (r/100) * S1 + (r/100) * S1 + (r/100) * S1 + (r/100) * S1

Substituting values from previous calculations:

S1 = 22,000 + 990 = 22,990

So,

S5 = 22,990 + (4.5/100) * 22,990 + (4.5/100) * 22,990 + (4.5/100) * 22,990 + (4.5/100) * 22,990

= $27,037.44

Therefore, the value of the investment after 5 years would be $27,037.44.

Answer:

26039/1000

Step-by-step explanation:

Answer:

y=2/3x+-3    (3,-1) and (0,-3)

Step-by-step explanation:

This is correct because your slope is 2/3 and y-intercept is -3 and the is the equation.  (3,-1) and (0,-3) are the cooridnates.

ANSWER :

37.8 feet

EXPLANATION :

From the problem, each scarf is 50.4 inches long.

Since there's a total of 9 scarfs.

The total length will be :

There are 12 inches in 1 foot.

Divide the result by 12 to get the number of feet.

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:

0.4772 = 47.72%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the finishing times are given as follows:

\(\mu = 75, \sigma = 1.5\)

The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:

X = 78:

Z = (78 - 75)/1.5

Z = 2

Z = 2 has a p-value of 0.9772.

X = 75:

Z = (75 - 75)/1.5

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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5/6 is less than 2 1/2

5/6 < 15/6

0.833333333333 < 2.5

5/6 <  2 1/2  

I think i'm not to good at math

Answer:

3

Step-by-step explanation:

divide 2 1/2 by 5/6

5/2 ÷ 5/6 = 5/2 · 6/5 = 30/10 or 3

Answer:

what is the length we are talking about i need a little more info

Step-by-step explanation:

Answer:

p = 8

Step-by-step explanation:

Divide -5 to both sides

-5p = -40

5p = 40

p = 8

So p = 8

The correct answer is,

(a) Very unlikely. It will almost certainly never happen.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The winning number in a Pick 4 lottery was 1234 two days in a row.

Now,

Since, there is a 1 in 10,000 chance of drawing any particular four-digit number in a single drawing, there is very little chance that the same number will be picked twice in a row in a Pick 4 lottery.

Even less likely, at one in 100,000,000,000, is the same number being selected three times in a row.

So, (a) Very unlikely is the correct response. It's almost probably never going to happen.

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Answer:

1037

Long multiplication is a method of multiplying two numbers which are difficult to multiply easily. For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer. 55 × 2 = 110 and 55 × 20 = 1100.

Answer:

13.27 cm

Step-by-step explanation:

I am using (xy) to mean the length of the side xy

7^2 + (xy)^2 = 15^2

49 + (xy)^2 = 225

(xy)^2 = 225-49

(xy)^2 = 176

Side (xy) = sqrt(176) = 13.2664991614 = 13.27 cm

Answer:

-3 < x < 2

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality

The graph could be the graph of exponential function of option b)

\(F(x) = 2 • (0.5)^{x} \)

The general form of an exponential function is

\(f(x) = {ab}^{x} \)

Here, a is the function's starting value and b is its growth factor.

F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function

The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.

Given that the graph indicates that the function is decreasing, b must be less than 1.

It indicates that the necessary function is in the form of

\(f(x) = 2(b)^{x} \)

Where it is b<1

By checking option B, b=0.5<1. Hence, option B is the correct answer

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Note that the full question is:

(check the attached image)

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = \(\frac{y+9}{6}\)

g(x) = \(\frac{x+9}{6}\) is inverse function of f(x) and ≠ \(\frac{x+2}{6}\) - 3

B). y = f(x) = \(\frac{5x}{4}\) - 3 ⇔ 4y = 5x - 12 ⇔ x = \(\frac{4y+12}{5}\)  

g(x) = \(\frac{4(x + 3)}{5}\) is inverse of f(x)

Answer:

Step-by-step explanation:

discriminant = 3² – 4·2(-10) = 89

discriminant > 0 ∴ two real solutions

Answer:

60.2 grams

Step-by-step explanation:

a = 510(1 - .263)⁷

a = 60.2341229517

rounded

a = 60.2 grams

An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

27 + 10x

you combine like terms

Answer:

Anne Hathaway: 0.154 = 15.4%

Angelina Jolie: 0.048 = 4.8%

Melissa Leo: 0.029 = 2.9%

Meryl Streep: 0.231 = 23.1%

Kate Winslet: 0.714 = 71.4%

Step-by-step explanation:

Odds to probability:

Odds of a:b

The probability is given by:

\(p = \frac{a}{a+b}\)

Anne Hathaway 2:11

So \(p = \frac{2}{2+11} = \frac{2}{13} = 0.154\)

Angelina Jolie 1:20

So \(p = \frac{1}{1+20} = \frac{1}{21} = 0.048\)

Melissa Leo 1:33

So \(p = \frac{1}{1+33} = \frac{1}{34} = 0.029\)

Meryl Streep 3:10

So \(p = \frac{3}{3+10} = \frac{3}{13} = 0.231\)

Kate Winslet 5:2

So \(p = \frac{5}{5+2} = \frac{5}{7} = 0.714\)

Answer:

25% of 53 is 13.25 so the new bottle should hold 66.25 ounces or 13.25 mor than the regular bottle

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

Using multiplication, if you do 4x5 you get 20, so adding .25 to the equation will add 1, therefore 20+1=21

So long story short 4 x 5.25 = 21