PLSSS HELPPP !!!At least how many square feet of canvas are needed to make one cover? (Use
A 44 ft.2
B 22 ft.2
C 770 ft. 2
D 154 ft.2

Answer:

Slope: -1

Y-intercept: 2

Step-by-step explanation:

Line crosses y-axis at 2, the slope is going down so it is negative, and it is going down by 1.

I hope it helps! Have a great day!

bren~

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

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Answer:

Step-by-step explanation:

25.5625

Answer:

25.5625

Step-by-step explanation:

The solution is in the image

The sum of the arithmetic series 19 + 25 + 31 + 37 + … at n = 9 exists 387.

An arithmetic series exists given, 19 + 25 + 31 + 37 + … sum of this series exists to be defined at n = 9.

Arithmetic progression exists the series of numbers that contain a common difference between adjacent values.

The sum of an arithmetic series exists given as

[tex]$S_n = \frac{n}{2}[2a+(n - 1)d][/tex]

Where n be the total terms =9

a be the first term = 19

d be the common difference = 6

Substitute the values in the above equation, we get

[tex]$S_9 = \frac{9}{2}\left[2\cdot 19+\left(9\:-\:1\right)6\right][/tex]

[tex]$ = \frac{9}{2}\left[86\right][/tex]

= 387

Therefore, the sum of the arithmetic series 19 + 25 + 31 + 37 + … at

n = 9 exists 387.

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Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2

-2x - (-3x + 2) = -3

-2x + 3x - 2 = -3

x = -1

y = -3*-1 + 2 = 5

The equation of the line is y = 3/2x - 3

The points are given as:

(0, -3), (2, 0), and (4, 3).

Start by calculating the slope (m) using:

m = (y2-y1)/(x2 -x1)

This gives

m = (3 + 3)(4 - 0)

Evaluate

m = 3/2

The equation is the calculated as:

y = m(x - x1) + y1

This gives

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

y = 3/2x - 3

Hence, the equation of the line is y = 3/2x - 3

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Using translation concepts, the equation of the new line is:

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

Hence the equation of the new line is:

[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]

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Answer:

Answer: B.156

Step-by-step explanation:

Given: Total seashells = 160

mean = 120

population standard deviation = 26 grams

The probability that the seashells weigh at least 68 grams :-'

Total seashells weigh at least 68 grams = 0.9772 x 160 = 156.352≈ 156

Hence, the correct option is B.156

To find the unpaired electrons:

Therefore, unpaired electrons are:

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The required value is 70. Using the permutations formula the required value is calculated. I.e.,  P(76, x) = P(76, 70).

The formula for permutations is

nPr = P(n, r) = n!/(n - r)!

Where P -number of permutations,

n - number of objects in the given set

r - number of choosing objects

The given series is

76 × 75 × 74 × ... × 6 = P(76, x)

We know that,

76!  = 76 × 75 × 74 × ... × 1 ...(i)

But to get the required series,

Divide the equation (i) by 6! = (76 - 70)!

Then,

76!/(76 - 70)! = 76 × 75 × 74 × 73 ... × 6

So, x = 70.

That is,

n!/(n - r)! = P(n, r)

⇒ 76!/(76 - 70)! = P(76, 70) = 2.618743E+108

Hence the required x value is 70.

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The circumference of the circle of diameter 35cm is 109.9 cm.

Given the diameter of the circle is 35 cm.

We are required  to find the circumference of the circle.

The circumference is the arc length of the circle, The perimeter is the curve length around any closed figure. It is equat to the length of the outer ring of a circle.

Formula of circumference=2πr where r is the radius of the circle.

Diameter=35 cm

Radius=35/2 cm (Radius is half of diameter)

Circumference=2π*35/2

=35π

Put the value of π =3.14 (it can be 22/7 as well.)

=35*3.14

=109.9 cm

Hence the circumference of the circle  is 109.9 cm.

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Answer:

  tan(x) = (√6)/2

Step-by-step explanation:

The tangent identity is ...

  tan = sin/cos

Substituting the given values of sine and cosine, we have ...

  [tex]\tan{x}=\dfrac{\sin{x}}{\cos{x}}=\dfrac{\dfrac{42}{55}}{\dfrac{14\sqrt{6}}{55}}[/tex]

At this point, it becomes a problem in simplifying a compound fraction. This can be done by dividing the fractions in the usual way, and cancelling common factors from numerator and denominator.

We note the denominators (55) are the same, and that 42=3·14, so we can simplify this to ...

  [tex]\tan{x}=\dfrac{3}{\sqrt{6}}=\dfrac{3\cdot\sqrt{6}}{\sqrt{6}\cdot\sqrt{6}}=\dfrac{3\sqrt{6}}{6}\\\\\boxed{\tan{x}=\dfrac{\sqrt{6}}{2}}[/tex]

The step of multiplying by (√6)/(√6) is for the purpose of "rationalizing the denominator," making the denominator a rational number: (√6)² = 6.

__

Additional comment

If sin(x) = 42/55, then cos(x) = (√1261)/55. There is no angle x that will have these values of its trig functions. (Another example of poor curriculum editing.)

The value "x = 3" and "x = -1/2" are part of the solution set.

We can represent any linear inequality using any of the following forms:

Now, if the sign is pointing towards x, it means that x is greater than b., so, the line under the greater sign means that x can also equal b.

The options given are:

Hence, the value "x = 3" and "x = -1/2" are part of the solution set.

Therefore, the Option A and C is correct.

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The volume of the balloon is 1441.64cm³.

The radius of the balloon is given as 7cm. Also, the equation to calculate the volume is given as c³/6π²

The circumference c will be:

= 2πr = 2 × 22/7 × 7

= 44

The volume will be:

= c³/6π²

= 44³/(6 × 3.14²)

= 85284/(59.1576)

= 1441.64

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Answer:

$120.25

Step-by-step explanation:

Divide 37 by 8. You get 4.625. Multiply 4.625 by 26. You get 120.25.

I hope this helps!

Answer:

x=-4,   y=7

Step-by-step explanation:

-5x-10y=-50...(1)

Multiply both sides by -1:

5x+10y=50

5x=50-10y

x=(50-10y)/5

Substitute x=(50-10y)/5 into second given eqaution:

10(50-10y)/5+8y=16

Cancel out common factor 5:

2(50-10y)+8y=16

100-20y+8y=16

-12y=16-100

-12y=-84

y=84/12

y=7

Substitute y=7 into equation (1)

-5x-10(7)=-50

-5x-70=-50

-5x=-50+70

-5x=20

x=-20/5

x=-4

Answer:jio

Step-by-step explanation:

The correct answer is "all real numbers greater than or equal to 2".

The probability that person will be eaten by Maggie is 16.67%.

Given there are 6 sided coloured dice. Colours are red, blue,green,purple, indigo and orange.

We have to find the probability that the person will be eaten by Maggie.

Probability is the likeliness of happening an event among all the possible events. It lies between 0 and 1. The probability is the numberof items divided by the total number of items.

Number of green coloured sides=1

Total number of sides=6

Probability of getting green when the dice is rolled 1 time=1/6=0.1667

We have been told that if green comes then person will be eaten by Maggie so the probability that the person will be eaten by Maggie is 0.1667 which is 16.67%.

Hence the probability that the person will be eaten by Maggie is 16.67%.

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Question is incomplete as the complete question is :

What is the probability that the person will eaten by Maggie?

The graph that aligns with the information is graph D.

We know that vector addition is scalar addition.

Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>

2v = < -2.5, 4.5>

2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >

2v-u = < 1 , 6 >

This vector is basically i + 6j which is drawn in option D

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The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The Polygon ABCD was reflected across the x axis, followed by a reflection across the line y = x to form polygon A'B'CD'.

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The correct answer is Option B) 1.67 after rounding off.

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.

Given here, the number with decimal 1.666 , thus rounding off we get the answer a 1.67

Hence, the correct answer is Option B)

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Answer: [tex]f^{-1}(x)=\frac{x}{4}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x[/tex].

[tex]x=4y\\\\y=\frac{x}{4}\\\\\therefore f^{-1}(x)=\frac{x}{4}[/tex]

1111 is the greatest common divisor of all numbers.

Lets simplify the problem,

1234  +  4321   =   5555

2345  +  5432   =   7777

3456  +  6543   =   9999

4567  +  7654   =   12221

5678  +  8765   =   14443

6789  +  9876   =   16665

After it , we get:

5555 _=_ 101 * 11  * 5

7777 = 101 * 11 * 7

9999 = 101 * 11 * 3 * 3

12221 = 101 * 11 * 11

14443 = 101 * 11 * 13

16665 = 101 * 11 * 3 * 5

abcd(5555, 7777, 9999, 12221, 14443, 16665)  =  101 * 11  =  1111

Hence we get 1111 is the greatest common divisor.

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With some simple rearrangement, we can rewrite the numerator as

[tex]2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1[/tex]

Then factorizing the difference of squares, [tex]x^2-1=(x-1)(x+1)[/tex], we end up with

[tex]\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}[/tex]

Answer:

706.86ft² or 225π ft²

Step-by-Step Explanation:

r = 15ft

Now solve the area of the circle! :)

A=πr²

A=π15²

A=225π ft²

or to simplify further!

A=706.86ft²

Answer:

20 % are red

Step-by-step explanation:

I THINK this is what you mean:

24 blue + 6 red = 30 blocks total

6 red / 30 total = 6/30 = .2   = 20 %

112 men construct 600 meters long wall in 30 days.

What is Time and Work formula?

[tex]\frac{M_1\times D_1}{W_1}=\frac{M_2\times D_2}{W_2}[/tex]

We can find the number of persons who can construct 600 meters wall as shown below:

Here, [tex]M_1=70[/tex]

[tex]D_1=12[/tex]

[tex]W_1=150[/tex]

[tex]W_2=600[/tex]

[tex]D_2=30[/tex]

We have to find [tex]M_2[/tex]

Putting in formula

[tex]\frac{70 \times 12}{150}=\frac{M_2\times 30}{600}[/tex]

[tex]M_2=\frac{70\times 12\times 600}{150\times 30}[/tex]

[tex]M_2=112[/tex]

Hence, 112 men can construct 600 meters wall in 30 days.

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