Image attached: geometry

Image Attached: Geometry

Answers

Answer 1

Answer:

52 degrees

Step-by-step explanation:

If <DAE= 16, then <EAB=16, and <DAB=32

Since <DEA is a right angle, it equals 90

traingles =180, so <EDA = 180-16-90=74

This means angles EDC and ABC = 74+64 = 138

Since the interior angles of a quadrilateral =360,

<BCD=360-138-138-32 = 52

Answer 2

Answer:

BCD= 52

Step-by-step explanation:

since BCD is 64 take 64 from 180. 180 - 64 is 116 and since this is an equilateral triangle EBC also equals 64 so take 64 from 116. 116-64 is 52 which is your answer


Related Questions

The operation *is defined by x*y=2x-y,where x and y are real numbers.Find the value of (i) y,if y *(3*y)=6​

Answers

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  

       

Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance​

Answers

Disability insurance is generally provided by the employers to the employee

What is an Insurance Coverage ?

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

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Joelle is working on a school report in a word processor. She wants to place an oversized image which is 30.51 \text{ cm}30.51 cm30, point, 51, start text, space, c, m, end text wide so that it appears centered on the page. The width of the page is 21.59 \text{ cm}21.59 cm21, point, 59, start text, space, c, m, end text. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?

Answers

Answer:

the horizontal position for the left edge of the image is -4.46 cm.

Step-by-step explanation:

The horizontal midpoint of the page is:

21.59 / 2 = 10.79 cm

The horizontal midpoint of the image is given as:

30.51 / 2 = 15.25 cm

These midpoints must be on the same point in the axis.

By taking the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795 cm.  

The distance that goes beyond this leftmost edge is computed as;

This is on the negative side on the axis.

Thus the horizontal position for the left edge of the image is -4.46 cm.

Answer:

-4.46

Step-by-step explanation:

Please answer please correct question

Answers

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!

Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE

Answers

Answer:

the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

please help! it would be much appreciated

Answers

Answer:

Yes

Step-by-step explanation:

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

Simplified it is 2

Yes.......... .......

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

Answers

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

In the first generation there are 4 monkeys on an island. Every generation after that the monkey population doubles. In generation 2 there are 8 monkeys, in generation 3 there are 16 monkeys, and so on. Which explicit formula can be used to find the number of monkeys in the nth generation?

Answers

Answer:

C

Step-by-step explanation:

The formula that can be used to find the number of monkeys in the nth generation is [tex]\bold{a_n=4\times 2^{n-1}}[/tex]

What is formula?

"It is a rule that is expressed in terms of mathematical symbols."

For given question,

In the first generation there are 4 monkeys on an island.

In generation 2 there are 8 monkeys, in generation 3 there are 16 monkeys, and so on.

A.

For n = 2,

[tex]a_2=4\times (\frac{1}{2} )^{2-1}\\\\a_2=4\times \frac{1}{2}\\\\ a_2=2\\\\a_2\neq 8[/tex]

This is not required formula.

B.

For n = 2,

[tex]a_2=2\times (\frac{1}{4} )^{2-1}\\\\a_2=2\times \frac{1}{4}\\\\a_2=\frac{1}{2}\\\\a_2\neq 8[/tex]

This is not required formula.

D.

For n = 2,

[tex]a_2=2\times (4)^{2-1}\\\\a_2=2\times 4\\\\a_2=8[/tex]

For n = 3,

[tex]a_3=2\times (4 )^{3-1}\\\\a_3=2\times 16\\\\a_3=32[/tex]

This is not required formula.

C.

For n = 2,

[tex]a_2=4\times (2 )^{2-1}\\\\a_2=4\times 2\\\\a_2=8[/tex]

For n = 3,

[tex]a_3=4\times (2 )^{3-1}\\\\a_3=4\times 4\\\\a_3=16[/tex]

This is required formula.

Therefore, the formula that can be used to find the number of monkeys in the nth generation is [tex]\bold{a_n=4\times 2^{n-1}}[/tex]

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Find the number in the form x3579x that is divisible by 42.

Answers

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

15. Estimate the product of 110.4 x 10.2 by rounding to the nearest whole number.
A.1100
B.1210
C.1000
D.1221

Answers

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.  

Tell me in your own words: How well do you understand RATE?

Answers

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.

Which of the following information would prove the quadrilateral ABCD is a rectangle?
Question 2 options:

a) The length of segment AB and CD is 5 units and length of segment BC and DA is 12

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

c) Slope of AB = 2, Slope of BC = -3/2, Slope of CD = 2, and slope of of DA = -3/2

d) Slope of AB = 2, slope of CD = 2, and the length of segment AB and CD is 5.

Answers

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:

Opposite sides are equalOpposite side are parallel (same slope)all the interior angle are 90° (adjacent sides are perpendicular)

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

Add the opposite of 2 1/2 to the sum of 1.25 and (−1 3/4 ). PLS help right now.

Answers

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.

What is a Fraction?

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

What is a Mixed Fraction?

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.

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Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?

Answers

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 :))

ASAP HELP ASAPFive friends compete in a dart-throwing contest. Each one has two darts to throw at the same circular target, and each individual's score is the sum of the scores in the target regions that are hit. The scores for the target regions are the whole numbers 1 through 10. Each throw hits the target in a region with a different value. The scores are: Alice—16 points, Ben—4 points, Cindy—7 points, Dave—11 points, and Ellen 17—points. Who hit the region worth 6 points?

Answers

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.

simplify the radical expression √500

Answers

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

Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram (1 answer choice)

Answers

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....:)

please help immediately
the figure below is a semi circle with two smaller semi circles cut out from it.The radius of the small semi circle is 3cm.
find the area of the shaded portion​

Answers

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.

The mean age of a herd of cows is 7.9 years. A cow that is 0.5 years old is
added to the herd. How does this cow's age affect the mean?

Answers

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 :)

the equation of the straight line that passes through the point with coordinates of 0,0 and 2,8. do the same for the coordinates of 0,0 and 4,2.......0,0 and 2,10

Answers

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]

у
5
02
3+
2
20
TE
-5 -4 -3 -2 -1
3
4
5
X
-2 +
T
-37
4
2 units by 4 units
3 units by 4 units
3 units by 5 units
4 units by 5 units

Answers

Answer:

3 units by 4 units

The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole,
Marsha hooked her ball to the left, as sketched below. Find the distance between
Marsha's ball and the hole to the nearest tenth of a yard.

Answers

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

Which graph represents the function ƒ(x) = –|x| + 4?

Answers

Answer:

Step-by-step explanation:

Please include the answer choices.  Thank you.

Start with y = |x|.  Plot the vertex at (0, 0).  Draw the line y = x in the first quadrant, not below y = 0, for positive x values.  Draw the line y = -x in the second quadrant, not below y = 0, for negative x values.

This gives you a v-shaped graph with vertex at (0, 0).

Going back to the given problem:

Reflect the graph of y = |x| in the x-axis, so that the vertex is now (0, 0) and the v-shape opens down.

Finally, translate this resulting graph upward by four units.

I hope this helps for anyone else that needs it...

These are some of the coordinates:

x,y

2,2

3,1

4,0

5,1

6,2

Find the first three terms of the arithmetic series described. n= 16 aₙ= 15 sₙ= -120.

Answers

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

Darryl has a daily goal of earning $100 in profit. His profit is $0.72 per sandwich, and he sold 150 sandwiches today. Explain how Darryl can use the profit rate to determine how much profit he earned. Did Darryl meet his daily goal? PLEASE HELP!!!!

Answers

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:

For k(x)= (-x- 1)(x^2 + 3x - 1)(x+2), find the derivative of k(x) at the point = -2 using the product rule.

Answers

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]

Which of the following rotations will produce a 12-sided polyhedron? ANSWERS: Rotating a 12-gon about a vertical axis running along one side Rotating a 12-gon about a vertical axis passing through the center No rotation will produce a polyhedron. The solids of rotation are non-polyhedral. Rotating a 12-gon about a horizontal axis passing through the center

Answers

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.

PLEASE HELP!!!!!



Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR

Answers

Answer:

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

The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode

Answers

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.

Fred the ant is on the real number line, and Fred is trying to get to the point 0. If Fred is at 1, then on the next step, Fred moves to either 0 or 2 with equal probability. If Fred is at 2, then on the next step, Fred always moves to 1. Let e_1 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 1. Similarly, let e_2 be expected number of steps Fred takes to get to 0, given that Fred starts at the point 2. Determine the ordered pair (e_1,e_2). Answer is NOT (2, 3)

Answers

Answer:

The ordered pair (e₁, e₂) is (6, 8).

Step-by-step explanation:

Consider the pathway attached below.

Consider that Fred is at 1.

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]

Consider that Fred is at 2.

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.  

Other Questions
is the most appropriate introduction for a caption about Vincent van Goghs Portrait of Dr. Gachet. Can some one please explain?1). Compared to the chemical oxidation of one atom of carbon, a nuclear fission reaction using one atom of uranium can yield about ____ times the energy output. A)5 B)50 C)5000 D)5,000,000 2). In a nuclear fusion reaction, the total mass numbers of the reactants may equal the total mass numbers of the products. How can it still be true that mass is lost in nuclear fusion reactions? A)In a nuclear fusion reaction, the fused nucleus is initially stable but then decays and loses mass. B)The mass number is just an estimated mass measurement that is not precise. C)The mass number only represents the total number of nucleons, which may be conserved. D)In a nuclear fusion reaction, the products have greater kinetic energy than the reactants. 3). Nuclear fission reactions generally require: A) small atomic nuclei to join together B) large atomic nuclei to join together C)small atomic nuclei to split apart D)large atomic nuclei to split apart He science club has 4 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get Which graph represents a function with direct variation? Proteins are made from amino acids. An amino acid has three parts that are joined to a central carbon atom. Identify the three parts that create an amino acid. amino group fatty acid carboxyl group R group C group On a Cartesian coordinate plane, points $(2,1)$ and $(3, 4)$ are adjacent points on a square. What is the area of the square? Many degrees of freedom coexisted in seventeenth-century North America. Discuss the various definitions of freedom. Be sure to include slaves, indentured servants, women, Indians, property owners, and Puritans in your discussion. Identify any similarities and differences among these different versions of freedom. Solve 4(2x 1) = 6(x + 2) 2. (1 point) heeeeeeeeeeeeeeeeelp According to the elaboration likelihood model (ELM), a receiver lacks the ability or motivation to process information under the _____ route to persuasion Last season, a lacrosse player scored 41 points in 15 games.So far this season, the player has scored 24 points in 9 games.a. Does the player have a greater number of goals per game thisseason compared with last season?b. Suppose the player plays in as many games this season as lastseason and continues to score at this seasons rate. Write and solve aproportion to find the number of goals the player will score thisseason. Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ? The time X(mins) for Ayesha to prepare breakfast for her family is believed to have a uniformdistribution with A=25 and B=35.a) Determine the pdf of X and draw its density curve.b) What is the probability that time taken by Ayesha to prepare breakfast exceeds 33 mins?c) What is the probability that cooking or preparation time is within 2 mins of the mean time?(Hint: Identify mean from the graph of f(x)) the depth D, in inches, od wsnow in my yard t hours after it started snowing this morning is given by D=1.5t + 4. if the depth of the snow is 7 inches now, what will be the depth one hour from now? -12NaturalWholeIntegersRationalsIrrationalsReal yooooooooooooooooooooooooooooooooo i need help pleasee Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the sum of the number and eight 5(x + 11) + 3(x + 8) 5 x + 11 Over 3 x + 8 Start Fraction 5 (x + 11) Over 3 (x + 8) 5x + 11 + 3x + 8 A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. What is the interquartile range of the players' weights? 150 160 170 180 190 200 210 220 230 240 250 260 270 [infinity] [infinity] 262 160 175 214 225 Weight (in pounds) -2(3x-4)+5x what is the answer Answer the question on the basis of the given consolidated balance sheet of the commercial banking system. Assume that the reserve requirement is 20 percent. All figures are in billions.Assets Liabilities & Net WorthReserves $200 Checkable Deposits $1,000Securities 300 Stock Shares 400Loans 500 Property 400 If the Fed increased the reserve requirement from 20 percent to 25 percent, a deficiency of reserves in the commercial banking system of _____ would occur and the monetary multiplier would fall to ____.a. $50 billion; 5b. $10 billion; 4c. $50 billion; 4d. $10 billion; 8