What is a root of 49?

the probability of you win for the first time on the third trial is 8.1%

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

the probability of winning at a certain gambling game is 0.1.

p=0.1

p(x) = (1-p)² *p

= 0.81*0.1

= 0.081

Hence the probability of you win for the first time on the third trial is 8.1%

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Triangle a is reflected in the x-axis to give b which is reflected in the line y=x. The coordinates of triangle C are  (-5,4) , (-2,2) and (-2,4)

Coordinates for Triangle A are (4,5), (2,2), and (4,2)

Triangle B is created by reflecting triangle A along the x-axis.

The x-axis coordinates stay the same after reflection in the x-axis, while the y-axis coordinates go negative with the same magnitude.

Consequently, triangle B's coordinates are (4, -5), (2, -2), and (4,-2)

The x and y coordinates of triangle B are now reversed as it is reflected by the line y = x to create triangle C.

Triangle C's coordinates are (-5,4), (-2,2), and (-2,4)

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Answer:

When the number 20 is increased by 20%, the result is 24. To find this, first multiply 20 by 20%, which is 0.20. Then, add this result to the original number 20 to find the final result, which is 20 + 0.20 = 24.

Step-by-step explanation:

The rate of return of the Stock A, purchased for $15 per share and sold for $340, with a commission of the sale of $6, is given as follows:

11.3%.

The Rate of Return is calculated as the different between the current value of the stock and the initial value of the stock, divided by the initial value of the stock.

20 shares were purchased at a value of $15 per share, hence the initial value of the stock in this problem is given as follows:

Initial value = 20 x 15 = $300.

The stock was then sold for $340, with a commission of $6, hence the current value of the stock is of:

Current value = 340 - 6 = $334.

Then the rate of return is calculated as follows:

Rate of return = 34/300 = 0.113.

As a percentage, the rate is given as follows:

0.113 x 100% = 11.3%.

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When you dilate the figure by a scale factor less than 1 but greater than 0, then the size of the figure decreases

The dilation is the one form of the transformation of the figure, the change the size of the figure

The scale factor is the ratio between the original size of the figure and the new size of the figure.

When the dilate the figure by a scale factor greater than one then the size of the figure increases, but when  the scale factor is between 0 and 1 then the size of the figure decreases

Therefore, the size of the figure decreases after dilation

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Answer:

Step-by-step explanation:

If the slope is parallel then it will be the same for the new equation.  All you need to find is the y intercept.

y-(-2) = -3/4(x-(-2))

so y = -3/4x -7/2

The linear function in slope intercept form is y = -3x + 6

A linear function is a function represented by a straight line.

Slope intercept form of a linear function is y = mx + c where

To write the linear function in slope intercept form, we need to know its slope, which is given by

m = (y₂ - y₁)/x₂ - x₁) where

Substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/x₂ - x₁)

m = (-6 - 0)/4 - 2)

m = -6/2

m = -3

Next we find the equation of the linear function in slope-point form which is

m = (y - y₁)/x - x₁) where

Substituting the the values of the variables into the equation, we have

m = (y - y₁)/x - x₁)

-3 = (y - 0)/x - 2)

-3 = y/(x - 2)

-3(x - 2) = y

-3x + 6 = y

y = -3x + 6 which is the slope-intercept form

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The value of cos(A - B) in simplest form is 651/203.

An acute angle is an angle that is less than 90 degrees, or less than a right angle. Acute angles are typically found in everyday life, such as the shape of a slice of pizza or the corner of a triangle. Acute angles are also found in shapes such as pentagons, hexagons, and octagons. Acute angles are important for engineering, architecture, and construction, as angles that are too wide or too small can affect the structural integrity of a building or other structure. Acute angles are also important in geometry, as they can be used to solve for the area, perimeter, and interior angles of a given shape.

We can use the formula for cos(A - B):
cos(A - B) = cos A cos B + sin A sin B
cos(A - B) = (21/29) * (24/7) + (21/29) * (7/24)
cos(A - B) = (504 + 147)/29 * 7
cos(A - B) = (651/203)
Therefore, the value of cos(A - B) in simplest form is 651/203.

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Answer:

Step-by-step explanation: Here is your answer 97



Answer:  She can fill up 21 packs or sets of 9

Step-by-step explanation: She has 162 then she adds 25 so that's 197 cards then we do 9 times 21 which is 189. So she has 8 left over to give to her brother.

A; The distance between the starting point to Obstacle 2 is  13 meters

B; There are 10 meters around one lap of course.

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Part A;

Starting point: (-12, 5); Obstacle 2: (0, 0)

(x₁, y₁) and (x₂, y₂)

Therefore,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

B. Starting point: (-12, 5); Obstacle 2: (0, 0);

Obstacle 1: (-12, 0)

(Starting Point + Obstacle 2)

Now,

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(0 - (-12))² + (0 - 5)²

d = √(12)² + (- 5)²

d = √144 + 25

d = √169

d = 13 meters

Therefore, (Starting Point + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - (-12))² + (0 - 5)²

d = √(0)² + (-5)²

d = √25

d = 5 meters

(Obstacle 2 + Obstacle 1)

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-12 - 0)² + (0 - 0)²

d = √(-12)² + (0)²

d = √144

d = 12 meters

Total = 12m + 5m + 13m = 30

30 ÷ 3 = 10 meters

we can conclude that 10 meters around one lap of course.

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The length of the boundary of any closed figure is called its perimeter.

Perimeter is calculated only of 2-dimensional shape, or a 1-dimensional length. This means that shapes like cubes, cones, and cylinders don't have a perimeter.

The perimeter of any shape is calculated by adding up the length of all its sides. A side is referred to as any continuous uninterrupted length of the shape between two points.

A point to be noted is that the perimeter of a circle is calculated by its radius and a mathematical number called pi. This is denoted by π. All other curved sides are calculated in a similar manner as well.

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Answer:

7.5 cm

Step-by-step explanation:

[tex]\frac{\ell}{5}=\frac{1}{1.5} \\ \\ \ell=7.5[/tex]

Answer:

7.5 cm

Step-by-step explanation:

7

Standard error of the mean is 1.375 and margin of error of the mean is 2.694.

Based on the provided information, mean µ = 67.8 and standard deviation σ = 11.5. The sample size n = 70

The standard error (SE) of a statistic refers to the standard deviation of its sampling distribution or an estimate of that standard deviation.

Standard error (SE) is given by:

SE = σ/√n = 11.5/√70 = 1.375

The margin of error (MOE) refers to a statistic demonstrating the amount of random sampling error in the results of a survey.

Margin of error (MOE) is the standard error multiplied by a Z value that correspondence to a confidence percentage. Assuming a 95% confidence the Z value is 1.96. Hence,

MOE = z * σ/√n = 1.96 x 1.374 = 2.694

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Answer:

Slope: 2.5, Y-Intercept: 10

Step-by-step explanation:

We can set up an equation, with

y = 2.5x + 10

The slope is 2.5, and the y-intercept is 10.

Answer:

22.9

Step-by-step explanation:

22.9

3x+7=20

 -7    -7

3x=13

/3  /3

x= 4.3

3(4.3)+10

12.9+10

22.9

(i think you put something in wrong. the answer usually shouldnt have a decimal)

Answer:

it is the linear graph

hope it helps

Answer:

slope = -5/8

Step-by-step explanation:

Use the rise and the run from point C to point D to find the slope of the line.

C is at (7 , -2)

D is at (15 , -7)

slope = change in y / change in x

slope = (-2 - (-7)) / (7 - 15)

slope = (-2 + 7) / -8

slope = 5/-8

slope = -5/8

Answer:

y=10x+10

Step-by-step explanation:

Remember, y=mx+b, where m is the slope and b is the y-intercept.

In this case, the slope, or m, is 10 and the y-intercept, or b, is 10. We then substitute m=10 and b=10 in and get the equation y=10x+10.

2/9 cups of flour is required for baker if he use 1 cup of sugar.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that the baker is making cookies.

The recipe calls for 1/2 cups of flour and [tex]2\frac{1}{4}[/tex] cups of sugar.

We need to find the flour required to baker for 1 cup of sugar.

Let us form a proportional equation.

x be the flour required for 1 cup of sugar.

[tex]2\frac{1}{4}[/tex] /1/2=1/x

Apply cross multiplication

9/4x=1/2

Divide both sides by 9/4

x=1/2×4/9

x=2/9

Hence, 2/9 cups of flour is required for baker if he use 1 cup of sugar.

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The jewelry artist does not make a profit if she sells 15 necklaces at an art fair .

An inequality to show the number of necklaces, n, the artist must sell to make a profit is

12n - 135 > 4.50n , n > 15 .

We have given that

A jewelry artist is selling necklaces at an art fair.

Cost of rent a booth at the fair = $135

Cost of materials of each necklace= $4.50

Selling price of each necklace = $12

The inequality for the artist's profit is

12n>135+4.50n

where n --> number of necklaces

We have to check that if number of necklaces sold by artist are 15 then she make a profit or not .

For this we plug n = 15 and check the inequality is statisfied or not ,

12×15 > 135 + 4.50×15

=> 180 > 220 , which is not true.

So, the artist does not make a profit if she sells 15 necklaces.

She has profit when selling price is greater than cost price of necklaces.

If we take total number of necklaces are "n".

then, Total cost price of 15 necklaces= $4.50× n

= $4.50n

Total cost payed by artist = $4.50n+$135

Total selling price of 15 necklaces = $12n

Profit if S.P >C.P or $12n > $4.50n+$135

=> 12n - 135 > 4.50n , n > 15

Hence, the required inequality is that

12n - 135 > 4.50n , n > 15 .

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I’m not entirely sure but i believe it’s 1.05

By using the slope intercept form of equation of line, it can be calculated that-

a) Equation of the graph

[tex]y = -\frac{5}{3}x +10[/tex]

b) Slope = [tex]-\frac{5}{3}[/tex]

It represents the ounces of ice cream reducing per minute when Katie has been eating the ice cream

c) y - intercept is 10.

It means Katie started eating with 10 ounces of ice cream

d) When y = 0, x = 6

It means Katie finished eating the ice cream in 6 minutes.

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If [tex]\theta[/tex]  is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = [tex]tan\theta[/tex]

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

a) From the figure, it is clear that the graph passes through (6, 0) and (0, 10)

Slope = [tex]-\frac{10}{6}[/tex]

Slope = [tex]-\frac{5}{3}[/tex]

Equation of the graph

[tex]y - 0 = -\frac{5}{3}(x - 6)\\\\y = -\frac{5}{3}(x - 6)\\\\y = -\frac{5}{3}x +10[/tex]

b) Slope = [tex]-\frac{5}{3}[/tex]

It represents the ounces of ice cream reducing per minute when Katie has been eating the ice cream

c) y - intercept is 10.

It means Katie started eating with 10 ounces of ice cream

d) When y = 0, x = 6

It means Katie finished eating the ice cream in 6 minutes.

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The 1st square number answer is one.

A square number is an integer that is the square of another integer. It is also referred to as a perfect square. It is the result of multiplying the number by itself. The square number is an integer with the form n×n or n², where n is any positive integer.

The square number can only end with 0, 1, 4, 6, 9, or 25.  The first ten square numbers are

1×1 = 1,

2×2 = 4,

3×3 = 9,

4×4 = 16,

5×5 = 25,

6×6 = 36,

7×7 = 49,

8×8 = 64,

9×9 = 81,

10×10 = 100.

The first square number from the above sequence is 1. Then, the answer is 1.

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Answer:

the hat is $47.50.

Step-by-step explanation:

To determine the regular price of the hat, you can use the formula for calculating the sale price of an item, which is:

regular price * (1 - discount percentage) = sale price

In this case, we can set up the equation as follows:

regular price * (1 - 0.20) = $38

Solving for the regular price, we get:

regular price = $38 / (1 - 0.20)

regular price = $38 / 0.80

regular price = $47.50

Therefore, the regular price of the hat is $47.50.

The solution is

a) The area of the sign is 3950 cm²

b) The total number of cans of paint is 3 cans of paint

What is the Area of a Rectangle?

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the total area of the sign be = S

Now , the area of the triangle be = T

Let the area of the rectangle be = R

The height of the triangle = 50 cm

The base of the triangle = 50 cm

So , the area of the triangle = ( 1 / 2 ) Height x Base

Area of Triangle T = ( 1/2 ) x 50 x 50

Area of Triangle T = 1250 cm²

Length of the rectangle = 90 cm

Width of the rectangle = 30 cm

Now , the area of rectangle R = Length x Width

Area of the rectangle R = 90 x 30

Area of the rectangle R = 2700 cm²

And , the area of the sign = Area of the rectangle R + Area of Triangle T

Substituting the values in the equation , we get

Area of the sign = 2700 cm² + 1250 cm²

Area of the sign = 3950 cm²

b)

Each can of paint covers = 1m²

So , Each can of paint covers = 10000 cm²

The number of signs = 6 signs

So , the total area of 6 signs = 6 x Area of the sign

The total area of 6 signs = 6 x 3950

The total area of 6 signs = 23700 cm²

And , the number of cans of paint for 6 signs = The total area of 6 signs / Area covered by each can

Substituting the values in the equation , we get

The number of cans of paint for 6 signs = 23700 / 10000

The number of cans of paint for 6 signs = 2.37 cans

The number of cans of paint for 6 signs ≈ 3 cans

Hence ,

a) The area of the sign is 3950 cm²

b) The total number of cans of paint is 3 cans of paint

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Answer:B

Step-by-step explanation:hope this will solve your problem

Answer:B

Step-by-step explanation:

The effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form. A parabola is a U-shaped curve that represents the quadratic function on a graph.

The given parabola is,

y = 6x²

Here consider x=t

Then,

y=6t²(0≤t≤z)

The work done by F(x, y) would be:

W=[tex]\int\limits^_c[/tex]F.dr

=[tex]\int\limits^_c[/tex]([tex]y_{i} +x_{j}[/tex])(d[tex]x_{i}[/tex]+d[tex]y_{j}[/tex])

=[tex]\int\limits^_c[/tex]y dx + x dy

=[tex]\int\limits^2_0[/tex]((6t²)(1)+(t)(12t))dt

=[tex]\int\limits^2_0[/tex]18t²dt

=48

Therefore, the effort needed to move an object along a curve that is specifically oriented. F(x, y) = (y, x) on the parabola y = 6x² from (0,0) to (2,24) is 48.

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Answer: 2x + 13 = 21

Twice a number would be 2 times unknown, so that would be 2x then increased would be addition so 2x + 13 = 21