To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?

Answer:

The derivative of that product of functions evaluated at the point x=-2 gives "-3"

Step-by-step explanation:

Recall that the derivative of a product of two functions f(x) and g(x) is given by the formula:

(f*g)'= f' * g+ f * g'[tex](2(-2)+3)\,(-(-2)^2-3(-2)-2)+((-2)^2+3(-2)-1)\,(-2(-2)-3)=[/tex]

So it would be convenient to reduce this product of three functions to a product of just 2, performing (-x-1)*(x+2) = - x^2 - 2x - x -2 = - x^2 -3x -2

therefore we need to find the derivative of x^2 + 3x -1, and the derivative of - x^2 -3x -2  to obtain the answer:

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

Now, applying the product rule for those two trinomial functions, we get:

[tex](2x+3)\,(-x^2-3x-2)+(x^2+3x-1)\,(-2x-3)[/tex]

which at x = -2 becomes:

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

Answer:

The first three terms are -30, -27 and -24

Step-by-step explanation:

The formula for nth term of a arithmetic series is given by:

aₙ = a₁ + (n - 1)d

Substitute n = 16 in the given equation:

a₁₆ = a₁ + (16 - 1)d

Where aₙ = a₁₆ = 15. Substitute in the given equation

15 = a₁ + 15d ⇒ Equation (i)

Sum of arithmetic sequence is given by:

Sₙ = n(a₁ + aₙ) / 2

Substitute n = 16 in the above equation:

S₁₆ = 16(a₁ + a₁₆) / 2

Where S₁₆= -120 and a₁₆=15, substitute:

-120 = 16(a₁ + 15)/2

-240 = 16(a₁ +15)

-15 = a₁ + 15

a₁ = -30

Substitute it in Equation (i)

15 = a₁ + 15d

15 = -30 + 15d

15d = 15+30

d = 45/15

d = 3

So

a₁ = -30

a₂ = a₁ + (2-1)d

a₂ = -30 + 3

a₂ = -27

a₃ = a₁ + (3-1)d

a₃ = a₁ + 2d

a₃ = -30 + 2(3)

a₃ = -30 +6

a₃ = -24

So basically all you have to do is find the area of one of the smaller semi circles by using the formula for the area of a circle (A=πr^2). You know that the length of the larger semi circle's radius is equivalent to 6 cm because the radius of the smaller ones are 3 cm, meaning the diameter would have to be 6 cm and in this case, the length of the smaller semi circles' diameters is equal to the radius of the big semi circle. Then you would find the area of the big semi circle again by using the area of a circle formula, but after getting the answer you would half it, obviously because it's a semi circle. Subtract the are of the smaller semi circle you found earlier from the answer you just got and that's it ;) (you wouldn't have to half the area since there are two smaller semi circles and 1/2 + 1/2 = 1 but u knew that)

Put simply, the answer would be about 88.2644 cm because circles.

Answer:

335790

Step-by-step explanation:

42=2×3×7

unit digit should be even.

sum of digits should be divisible by 3

3+5+7+9=24÷3=8

sum of other two digits should be multiple of 3

let us consider 335790

3+0=3=3×1

also 0 is even.

335790÷42=7995

Answer:

3

Step-by-step explanation:

first two terms cancel eachother out!

Answer:

Step-by-step explanation:

8(5021)(3054) + (-8)(-5021)(-3054) + 3 = 8(5021)(3054) - (8)(5021)(3054)+3

                                                              = 0 + 3

                                                              = 3

Answer:

yes he did

Step-by-step explanation:

150 sandwiches *$0.72= 108 dollars

yes Darryl met is goal because he earned 108 dollars in profit.

Answer:

Yes, he did multiply .72 times 150 gives you an amount of $108.

Step-by-step explanation:

Answer:

The answer is "141.56 yd".

Step-by-step explanation:

In the given question an image file is missing, that can be defined as follows:

Formula:

[tex]c ^ 2 = a ^ 2 + b ^ 2 - 2 \times a \times b \times \cos C[/tex]

Let assume C is the third side:

[tex]c ^ 2 = 355 ^ 2 + 240 ^ 2 - 2 \times 355 \times 240 \times cos 16^{\circ}\\\\[/tex]

[tex]c^2=126025+57600- 170400(0.96)\\[/tex]

   [tex]=126025+57600- 163584\\\\=183625-163584\\\\=20041[/tex]

[tex]c= 141.56[/tex]

So, the total distance= 141.56 yd

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

[tex]\sqrt{3} = 1.73205080757[/tex]

Simplified it is 2

Answer:

[tex]10\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{500}\\\\ \sqrt{2^2*5^2*5}\\\\\sqrt{2^2}\sqrt{5^2}\sqrt{5}\\\\2\sqrt{5^2}\sqrt{5} \\\\2*5\sqrt{5}\\\\10\sqrt{5}[/tex]

Answer:

10√5

Step-by-step explanation:

√500= √100*5= 10√5

Answer:

a measure, quanity or frequency typically one measured against another quantity or measure.

Step-by-step explanation:

i have written in my own words so i would love to be the brainliest i never got one before and i have only 20  points so thank you so much for making me the brainliest if you did so i love u.

Answer:

I do indeed understand rates in math.

Step-by-step explanation:

If you didn't understand what a rate is, a rate is known as a special ratio in which the two terms are in different units.

Answer:

The correct option is B

B) Slope of AB = 2, Slope of BC = -1/2, Slope of CD = 2, and slope of of DA = -1/2

Step-by-step explanation:

A rectangle has the following features:

Considering these point, the best options is B because:

AB || CD = opposite sides have same slope 2 (they are parallel)

BC || DA = opposite sides have same slope -1/2 (they are parallel)

For 2 lines to be perpendicular:

Slope of line 1 = -1/ (Slope of line 2)

Let line 1 be AB and line 2 be BC

Slope of AB = -1/(Slope of BC)

2 = -1/(-1/2 )

2=2

Hence proved

As two points are true, third point will also be true

Answer:

The region worth 6 points was hit by Alice

Step-by-step explanation:

The information given are that the throws throws of the five friends (two each) each have different values

The scores are;

Alice = 16

Ben = 4

Cindy = 7

Dave = 11

Ellen = 17

For Ben, we have the two throws as 1, and 3

For Ellen, 9 and 8

Cindy, 5 and 2

Dave 7 and 4

Alice 10 and 6

Therefore, Alice hit the region worth 6 points.

Answer: The new mean will be less than 7.9 years

Step-by-step explanation:

The mean is the same thing as the average.  Because 0.5 is less than 7.9, the average will also decrease.

Hope it helps <3

Answer:

Hey there!

The new mean will be less than 7.9 years of age.

The mean is the average, thus if you add something below the average, the entire mean will decrease, and if you add something above the average, then vice versa.

Hope this helps :)

Answer:

PSC=PTC

They are the same angle

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

It is provided that Fred moves to either 0 or 2 with equal probability, i.e. 0.50.

    e₁ :    1              3             5              7        ...

P (e₁) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 1 is:

[tex]e_{1}=(1\times 0.50)+(3\times 0.50^{2})+(5\times 0.50^{3})+(7\times 0.50^{4})+...\\\\[/tex]

The sum series e₁ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₁ is:

[tex]e_{1}=\frac{1}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=2+4\\\\=6[/tex]

It is provided that Fred always moves to 1 if he at step 2.

    e₂ :    2             4             6              8        ...

P (e₂) : 0.50       0.50²      0.50³       0.50⁴   ...

The expected number of steps Fred takes to get to 0 if he is at 2 is:

[tex]e_{2}=(2\times 0.50)+(4\times 0.50^{2})+(6\times 0.50^{3})+(8\times 0.50^{4})+...\\\\[/tex]

The sum series e₂ is an AGP.

The sum of infinite AGP is:[tex]\frac{a}{1-r}+\frac{dr}{(1-r)^{2}}[/tex]

Then the value of e₂ is:

[tex]e_{1}=\frac{2}{(1-0.50)}+\frac{2\times 0.50}{(1-0.50)^{2}}\\\\=4+4\\\\=8[/tex]

Thus, the ordered pair (e₁, e₂) is (6, 8).

Answer:

(3, 4)

Step-by-step explanation:

For e_1, there is first a 1/2 chance that Fred will go to point 0 on the first move, giving us an expected value of 1/2. Similarily, there is 1/4 chance that Fred will go to point 0 on the 3rd move, giving us an expected value of 3/4th moves. We continue, and we see that the expected value for the number of moves is this.

[tex]1/2 + 3/4 + 5/8 + 7/16 + 9/32 + 11/64 ...[/tex]

This equation eventually equals to 3, so e_1 is equal to 3.

For e_2, it's just e_1 + 1, because Fred has to move to point 1 in the first place.  

Answer:

0.44444444444, round it to the tenth or hundredth or wherever it tells you to round the answers to.

Answer: A.1100

Step-by-step explanation:

Hi, to answer this question we have to round each number to the nearest whole number:

110.4 = 110 (.4 is less than 5)

10.2 = 10

The product is the result of the multiplication of both numbers:

110 x 10 = 1,100

So, the correct option is A.1100

Feel free to ask for more if needed or if you did not understand something.  

Answer:

The value of y = 4

Step-by-step explanation:

Explanation:-

Given the operation *is defined by

         x*y=2 x-y,where x and y are real numbers

Given  y * ( 3 * y ) = 6

     ⇒    y * ( 2 (3) -y) = 6    (∵    x*y=2 x-y)

     ⇒     y * ( 6 - y) = 6

    ⇒     2 (y) - (6 - y ) = 6

    ⇒       2 y - 6 + y = 6

   ⇒         3 y = 6 + 6

  ⇒             3 y = 12

  ⇒               y = 4

Verification:-

Put y =4 in given operation

 L.H.S    

 y * ( 3 * y ) =  4 * ( 3 * 4)

                  = 4 * (2(3)-4)      (∵ x*y=2 x-y )

                 = 4 * ( 6-4)

                = 4 * 2            

               = 2(4) -2      (∵ x*y=2 x-y )

               = 6

              =R.H.S

  y *(3*y) = 6​

          ∴ y = 4 is satisfied  

Answer: Equation of a line passes through (0,0) and (2,8): [tex]y=4x[/tex]

Equation of a line passes through (0,0) and (4,2): [tex]y=\dfrac{1}{2}x[/tex]

Equation of a line passes through (0,0) and (2,10): [tex]y=5x[/tex]

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) : [tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Then, Equation of a line passes through (0,0) and (2,8):

[tex](y-0)=\dfrac{8-0}{2-0}(x-0)\\\\\Rightarrow\ y=4x[/tex]

Equation of a line passes through (0,0) and (4,2):

[tex](y-0)=\dfrac{2-0}{4-0}(x-0)\\\\\Rightarrow\ y=\dfrac{1}{2}x[/tex]

Equation of a line passes through (0,0) and (2,10):

[tex](y-0)=\dfrac{10-0}{2-0}(x-0)\\\\\Rightarrow\ y=5x[/tex]

The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.

The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).

In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:

t = -b / 2a

t = -240 / (2 * -16)

t = -240 / -32

t = 7.5

Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.

Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.

Answer:

11.6

Step-by-step explanation:

There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building

these are conjugate triangles so if the 3m represents 17.5

what does the 2 m represent?

2*17.5/3=35/3=11 2/3 so 11.6

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

Answer:

1.5 !

Step-by-step explanation:

oh khan academy :))

Answer:

No rotation will produce a polyhedron. The solids of rotation are non-polyhedral.

Step-by-step explanation:

Solids of rotation will always have a curved face, so they’re always non-polyhedral.

Answer:

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$1: 25 text messages

Step-by-step explanation:

Dial it up=$5 for 100 text messages

Ring Ring=$8 for 200 text messages

What is the ratio of the number of text messages to the price in dollars offered by each company?

The ratio of Dial it up is

$5 : 100

=$5/100

=$1/20

The ratio of Dial it up is $1: 20 text messages

The ratio of Ring Ring is

$8:200 text messages

=$8/200

=$1:25

The ratio of Ring Ring is

$1: 25 text messages

Ring Ring has a cheaper text message plan compared to Dial it up

Answer:

i belive it is 13.25

Step-by-step explanation:

A fraction is a way to describe a part of a whole. The addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

The sum of 1.25 and (−1 3/4) can be done as,

1.25 + (−1 3/4)

= 1.25 - 1.75

= -0.5

The opposite of 2 1/2 is -2 1/2, therefore, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is,

-0.5 + (-2 1/2)

= -0.5 - 2.5

= -3

Hence, the addition of the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4) is -3.

Learn more about Fraction:

https://brainly.com/question/1301963

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Disability insurance is generally provided by the employers to the employee

Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.

Generally the employers provide Disability insurance to their employees .

An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .

A railway employee is given a  Disability insurance cover and many other normal companies also provide  Disability insurance.

Hence Option B  Disability insurance is the correct answer.

To know more about Insurance Coverage

https://brainly.com/question/15702391

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Answer:

parallelogram. is the answer

Answer:

Paralleogram:

Explanation:

A parallelogram is the closed thing with 4 sides

Even though a square had 4 sides

So a I'd defined as a Parallelogram....:)

Answer:

EFB is the angle that is adgacent

Answer:

angle AFB

Step-by-step explanation:

Adjacent means next to, so let’s imagine this as sharing a fence with your next door neighbor.

What side does EFA share with?

It shares it with AFB.

That‘s it!

Hope this helped!

Answer:

option c is the correct ans as there is given similar sign with two triangle.