Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are true about the diagram above

Consider Quadrilateral BCEF Inscribed In Circle A. Diagonals EB And CF Intersect At Point D. Select All

Answers

Answer 1

Answer:

[tex]m\angle ECB+m\angle EFB=180[/tex]

[tex]m\angle CDB\cong m\angle EDF[/tex]

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

[tex]m\angle ECB+m\angle EFB=180[/tex]

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

[tex]m\angle CDB\cong m\angle EDF[/tex]

Also sum of angles in triangle CBD is 180°.

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]


Related Questions

The graph shows that f(x)=(one-third) Superscript x is translated horizontally and vertically to get the function (one-third) Superscript x minus h.

On a coordinate plane, 2 exponential functions are shown. f (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 3), (0, 1), (1, 0.3). g (x) decreases in quadrant 1 into quadrant 4. It crosses the x-axis at (4, 0), and goes through (5, negative 2).

What is the value of k?

−5
−3
3
5

Answers

It is the number 3.              

What is the hypotenuse of

1,2,3

8,7,6

15,20,25

Answers

1,2,3 hypotenuse: 3
8,7,6 hypotenuse: 8
15,20,25 hypotenuse: 25

Question 7 (5 points)
A class of 24 students went on a picnic. They had a choice between having a turkey
sandwich or a vegetarian sandwich. Eighteen students selected turkey, and the rest
selected vegetarian. Write a ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches.
1:3
3:1
4:1
4:3

Answers

Answer:

B, 3:1

Step-by-step explanation:

18:6 is 3:1 if you divide both sides by 6

Final answer:

The correct ratio to compare the number of turkey sandwiches to vegetarian sandwiches is 3:1, with 18 students selecting turkey and 6 students selecting vegetarian sandwiches.

Explanation:

The correct ratio to compare the number of turkey sandwiches to the number of vegetarian sandwiches is 3:1.

First, determine that 18 students chose turkey sandwiches, which leaves 6 students choosing vegetarian sandwiches (24 total students - 18 turkey sandwiches).Next, calculate the ratio by dividing the number of turkey sandwiches by the number of vegetarian sandwiches, resulting in 18/6 = 3.Therefore, the ratio of turkey sandwiches to vegetarian sandwiches is 3:1.

5/8 divided by 1 1/3 in lowest form

Answers

HOPE THIS WILL HELP U...

Answer:

15/32

Step-by-step explanation:

5/8/1 1/3

Which can also be written as 5/8÷ 1 1/3

So let's solve

5/8÷4/3

So remember that the division will change to multiplication and 4/3 will also change to 3/4

5/8×3/4

15/32

This is the lowest form it can be since the two are not divisible by the same number

So the final answer is 15/32

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Three marbles are randomly chosen from the bag.

What is the probability that there is at most one purple marble?

Answers

Answer:Not very great probability

Step-by-step explanation:

   There is not a great probability because there are 8 yellow, 9 green, and 5 red. The less purple marbles there are, the less of a chance that a purple marble will be pulled from the bag because there are only three of the purple marbles.

Answer:

0.971

Step-by-step explanation:

i did it

multiply the following: 6z^2(7z^2+3z-2)

Answers

Final answer:

To multiply the expression 6z^2 by the trinomial (7z^2+3z-2), distribute 6z^2 across each term in the trinomial to obtain 42z^4 + 18z^3 - 12z^2.

Explanation:

The student has asked to multiply the expression 6z2 by the trinomial (7z2+3z-2). To solve this problem, we'll apply the distributive property, which entails multiplying the term outside the parenthesis by each term inside the parenthesis.

Multiply the term 6z2 by 7z2, which gives 42z4.Multiply 6z2 by 3z, yielding 18z3.Finally, multiply 6z2 by -2 to get -12z2.

Combine all the products to get the final expanded expression: 42z4 + 18z3 - 12z2.

The product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

To multiply [tex]\(6z^2\)[/tex] by the trinomial [tex]\(7z^2 + 3z - 2\)[/tex], you need to distribute [tex]\(6z^2\)[/tex] to each term inside the parentheses. Here's how you can do it stepwise:

1. Multiply [tex]\(6z^2\)[/tex] by the first term of the trinomial [tex](\(7z^2\))[/tex]:

[tex]\[ 6z^2 \cdot 7z^2 = 42z^4 \][/tex]

2. Multiply [tex]\(6z^2\)[/tex] by the second term of the trinomial [tex](\(3z\)):[/tex]

[tex]\[ 6z^2 \cdot 3z = 18z^3 \][/tex]

3. Multiply [tex]\(6z^2\)[/tex] by the third term of the trinomial [tex](\(-2\))[/tex]:

[tex]\[ 6z^2 \cdot (-2) = -12z^2 \][/tex]

Now, combine these results:

[tex]\[ 6z^2(7z^2 + 3z - 2) = 42z^4 + 18z^3 - 12z^2 \][/tex]

So, the product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

1. Which numbers below are equivalent to 13.4? Select all that apply.
a.
b. 0.134%
c. 13.4%
d. 134%
e. 1340%

Answers

Answer:

1340%

Step-by-step explanation:

Answer:

b and also whats a

Step-by-step explanation:

The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Furnace Creek.

Answers

Given:

The number of elevations in Death Valley National Park is given below:

Zabriskie Point = 648 feet

Stovepipe Wells = 0 feet

Furnace Creek = -178 feet

Badwater Basin = -282 feet

To find the difference between the elevation at Zabriskie Point and Furnace Creek.

Formula

Difference means subtraction.a-(-b) = a+b

So,

The difference between the elevation at Zabriskie Point and Furnace Creek = (648-(-178)) feet

= 648+178 feet

= 826 feet

Hence,

The difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

The elevation difference between Zabriskie Point and Furnace Creek in Death Valley National Park is 826 feet, obtained by adding the positive elevations.

To find the difference between the elevation at Zabriskie Point and Furnace Creek in Death Valley National Park, follow these steps:

Use the formula for subtracting negative numbers:

Difference = Elevation at Zabriskie Point - (Elevation at Furnace Creek)

Given elevations:

Elevation at Zabriskie Point = 648 feet

Elevation at Furnace Creek = -178 feet

Substitute these values into the formula:

Difference = 648 - (-178) feet

Remember that subtracting a negative is the same as adding the positive:

Difference = 648 + 178 feet

Perform the addition:

Difference = 826 feet

Therefore, the difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

Which equation could be used to
approximate the data in the scatter plot
below? *
a. y=-1.4x + 3.5
b. y = 1.4x - 3.5
c. y=-1.4x - 3.5
d. y = 1.4x + 3.5

Answers

D sounds like the best answer math can be hard tho

1.3 billion people live on?

Answers

Answer:

1.25

Step-by-step explanation:

In India

Answer: D

Step-by-step explanation:

1 dollar a day

What is the slope of the line?
3(y - 1) = 2x + 2
Choose 1 answer:

Answers

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

PLEASE HURRY
Solve 12 – 15x > 22 to find out the solution set.

Answers

I'll teach you how to solve 12 – 15x > 22

---------------------------------------------------------

12 – 15x > 22

Suntract 12 from both sides:

12-15x-12 > 22-12

Simplify:

15x > 10

Multiply both sides by -1 (reverse the inequality):

(15x)(-1)<(10)(-1)

Simplify:

15x < -10

Divide both sides by 15:

15x/15 < -10/15

Simplify:

x < -2/3

Your Answer Is x < -2/3

plz mark me as brainliest :)

Answer:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

Step-by-step explanation:

The first step is to subtract 12 from both sides, like so:

12 - 15x > 22

-12           -12

__________

-15x > 10

Then, divide both sides by -15:

-15x > 10

x > [tex]\frac{-10}{15}[/tex]

Simplify:

x > [tex]\frac{-2}{3}[/tex]

When you multiply/divide by a negative number, you must flip the sign around. In this case, we divided by a negative number:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

What is the surface area of the cone? Express your answer in terms of π.b

Answers

Given:

Radius of the cone = 5 ft

Slant height of the cone = 21 ft

To find:

The surface area of the cone

Solution:

Surface area of cone formula:

[tex]SA=\pi r^{2}+\pi r l[/tex]

where r is the radius and l is the slant height.

[tex]SA=\pi \times 5^{2}+\pi \times 5 \times 21[/tex]

[tex]SA=\pi \times 25+\pi \times 105[/tex]

[tex]SA=25 \pi+ 105 \pi[/tex]

[tex]SA=130 \pi[/tex]

The surface area of the cone is 130π square feet.

The total surface area of the cone is 130π square feet.

How to Calculate the Surface Area of a Cone

The surface area of a cone can be calculated using two main components: the base and the lateral (side) surface. If the radius of the base is r and the slant height is l, the formulas for these areas become essential.

The area of the base is found using the formula for the area of a circle: πr².The lateral surface area is calculated using: πrl, where l is the slant height.

Therefore, the total surface area A of the cone is:

A = πr² + πrl


Calculate the surface area using the given values:

A =

A baker me 5 pounds of the dough 8/9 of the dough to make sandwich rolls how much of the dough is left over

Answers

Answer:

4.444...

Step-by-step explanation:

To do this question you find out 8/9 of 5

8/9 x 5

The method is: you divide by the denominator (bottom number of a fraction) and multiply by the numerator ( top number of a fraction)

= 5 ÷ 9 = 0.555…

= 0.555 x 8 = 4.444 recurring.

Answer:

[tex]4\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{5}{1}[/tex] - [tex]\frac{8}{9}[/tex]

[tex]\frac{45-8}{9}[/tex] = [tex]\frac{37}{9}=4\frac{1}{9}[/tex]

HURRY

What is the length of a diagonal of a cube with a side length of 3 cm?
StartRoot 18 EndRoot cm
StartRoot 27 EndRoot cm
StartRoot 33 EndRoot cm
StartRoot 38 EndRoot cm

Answers

For the given cube, the length of the diagonal is given by:

[tex]d = \sqrt{27} cm[/tex]

How to find the diagonal of the cube?

For a cube of side length S, the diagonal of the cube is given by the expression:

[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]

In this case, the side length is equal to 3cm, replacing that we get:

[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]

The correct option is the second one, counting from the top.

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Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the
40 in
20 in
20 in
30 in
60 in
How much space is inside the fort?

Answers

the answer is 1600 square inches
The answer is 1600....

6.1712 rounded to the nearest tenth

Answers

Answer:

6.2

Step-by-step explanation:

Answer:

the answer is 6.2

Type of Desserts Number of Students
Ice Cream 8
Cake 6
Banana Pudding 7
Apple Pie 4
Jell-O 3

Myles asked his classmates to name their favorite desserts. He displayed the results in the table here.


Which graph matches the data in the table?
A) A
B) B
C) C
D) D

Answers

if the picture was  bigger  i would be able to help could u get it a  bit bigger

please answer correctly, will mark brainliest

Answers

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
Group of answer choices

13 meters

14 meters

200 meters

208 meters

Answers

Answer:

The hypotenuse is 14 m to the nearest meter.

Step-by-step explanation:

By Pythagoras:

h^2 = 12^2 + 8^2

h^2 = 208

h = √208

h = 14.4 m.

Answer:

its 14! hope this helps

Step-by-step explanation:

PLZ NEED ANSWERS NOW
Use the figure to find the measure.

Area triangle DEF =

3/4
4/3
3

Answers

Final answer:

The area of triangle DEF cannot be determined without specific measurements for the base and height. To find the area of a triangle, use the formula \( \frac{1}{2} \times \text{base} \times \text{height} \), and be attentive to significant figures.

Explanation:

To determine the measure of the area of triangle DEF, we would need specific information about the dimensions of the triangle, such as the base and the height. Without this information or a corresponding figure provided in the question, we cannot calculate the area. However, I can guide you on how to calculate it once you have the necessary dimensions.

To calculate the area of a triangle, the formula is \( \frac{1}{2} \times \text{base} \times \text{height} \). For example, if you have a triangle with a base of 166 mm and a height of 930.0 mm, the area would be \( \frac{1}{2} \times 166 \text{mm} \times 930.0 \text{mm} \). Make sure to convert the measurements to the same units if they are not already, and pay attention to the proper number of significant figures in your final answer.

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Another couple of probability questions, I will give 20 points for 2 questions! I will also mark brainliest to whoever answers CORRECTLY!!! Plz help!

Answers

Answer:

1. [tex]\frac{5}{162}[/tex]

2. [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

For the first problem, the probability of spinning an odd number is [tex]\frac{5}{9}[/tex]. The probability of landing on heads is [tex]\frac{1}{2}[/tex], and then the probability of landing on a 3 is [tex]\frac{1}{9}[/tex]. Multiplying all of these together, you get [tex]\frac{5}{162}[/tex]. For the second problem, the probability of spinning a number greater than one is [tex]\frac{3}{4}[/tex], and the probability of landing on tails is [tex]\frac{1}{2}[/tex]. Multiplying these together, you get [tex]\frac{3}{8}[/tex]. Hope this helps!

Help me plz now this is very important

Answers

Answer:

A

Step-by-step explanation:

11-2.9= 8.1

so the right answer is of option A

Which pair of ratios form a proportion? 97 points

5 : 10 and 10 : 15

8 : 12 and 18 : 27

9 : 15 and 24 : 30

6 : 20 and 7 : 30


Answers

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5:10 and 10:15 simplify to: 1:2 and 2:3

8:12 and 18:27 simplify to: 2:3 and 2:3

9:15 and 24:30 simplify to: 3:5 and 4:5

6:20 and 7:30 simplify to: 3:10 and 7:30

The ONLY pair of equal proportions is the second one (8 : 12 and 18 : 27), making it the right answer

Answer:

Second one:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

5/10 , 10/15

1/2 , 2/3

Not constant, so not proportional

8 : 12 and 18 : 27

8/12 , 18/27

2/3 , 2/3

Constant, so proportional

9 : 15 and 24 : 30

9/15 , 24/30

3/5 , 4/5

Not constant, so not proportional

6 : 20 and 7 : 30

6/20 , 7/30

3/10 , 7/30

Not constant, so not proportional

how do you find the domain of f(x)= x over 2x^2-5x-3

Answers

Answer:

D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

Step-by-step explanation:

hello :

f(x) = x/(2x²-5x-3)

f exist for : 2x²-5x-3 ≠ 0

2x²-5x-3  = 0

∆ = b² -4ac      a=2  and b= -5  and  c= -3

∆ = (-5)² - 4(2)(-3) = 49 = 7²

X1 = (-b-√∆ )/2a  = (5-7)/4 = -1/2

X2 = (-b+√∆ )/2a  = (5+7)/4 = 3

the domain is : D = ]-∞ , -1/2[ U ]-1/2 , 3[ U ]3 , +∞[

-

Nolan drove 234 miles in 4 hours. On average, how fast did he drive in miles per
hour? Express your answer in simplest form.

Answers

Answer:

58.5 Miles

Step-by-step explanation:

234 m = 4 hrs

Divide the total amount of miles to hours

234/4 = 58.5

58.5 m = 1 hr

I hope this helped you!

Answer:

12

Step-by-step explanation:

100% - 9/10
Pleeaaase help

Answers

Answer:

-0.8  or 991/10

(also it can be 10%)

Step-by-step explanation:

991            

 ——— = 99.10000  

 10              

Step by step solution :

Step  1  :

            9

Simplify   ——

           10

Equation at the end of step  1  :

         9

 100 -  ——

        10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           100     100 • 10

    100 =  ———  =  ————————

            1         10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

100 • 10 - (9)     991

——————————————  =  ———

      10           10  

Final result :

 991            

 ——— = 99.10000  

 10              

The value of expression 1/10.

Given that we need to solve expression 100% - 9/10,

To explain the calculation of "100% - 9/10," let's break it down step by step:

First, let's simplify the fraction 9/10. This fraction represents a ratio where the numerator (9) is the number of parts, and the denominator (10) is the total number of parts.

In this case, it means that we have 9 parts out of a total of 10 parts.

Next, we need to calculate the percentage equivalent of 9/10. To do this, we can multiply the fraction by 100.

So, 9/10 × 100 = 90%.

This means that 9/10 is equivalent to 90%.

Finally, we subtract 90% from 100%. Since 100% represents the whole or the entirety, subtracting 90% from it gives us the remaining percentage.

Mathematically, 100% - 90% = 10%

10% = 1/10

Therefore, 100% - 9/10 equals 10%.

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Parallel, intersecting or skew?
AB and BC.
AE and BF.
EF and AD.
Plane ABC and Plane ABF.
Plane AED and Plane BFC.
HELP!!!

Answers

Two lines are:

Parallel if they don't intersect and lie on the same planeIntersecting if...well, they intersect at one pointSkew if they don't intersect and they lie on two different planes

So, we have:

AB and BC intersect at point BAE and BF don't intersect, but both lie on the plane AEFBEF and AD don't intersect and don't lie on a common planeABC and ABF intersect on segment ABAED and BFC are parallel (they're both perpendicular to plane ABC)
Final answer:

The relationships between the lines and planes depend on their orientation in space. Without diagrams, it's only possible to give general descriptions, suggesting various intersecting, parallel, or skew scenarios.

Explanation:

Without diagrams or additional context, it's difficult to determine the relationships between the segments and planes, but I will provide general descriptions. Lines AB and BC appear to intersect if 'B' is the shared point between them. Lines AE and BF could be parallel, intersecting, or skew, depending on their orientation in space. Lines EF and AD again depend on their spatial orientation. Plane ABC and Plane ABF may intersect along line AB, if they are not the same plane. Plane AED and Plane BFC could also intersect, be parallel, or neither, depending on how the points are positioned in space.

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find a formula for the nth term of the arithmetic sequence the first term is -2 and the common difference is 8

Answers

Answer:

a(n) = -2 + 8(n - 1)

Step-by-step explanation:

General formula is a(n) = a(1) + d(n - 1), where d is the common difference.

Here a(n) = -2 + 8(n - 1)

Answer:

a(n)=8n-10

Step-by-step explanation:

thats the answer if you are on Acellus :)

Question in the picture:)

Answers

Given:

Set A represents rational numbers.

Set B represents integers.

Set C represents whole numbers.

To find:

Which of the value represents a value that could be placed in set C.

Solution:

Rational number is ratio of two numbers which of the form [tex]\frac{p}{q}, \ q\neq0[/tex].

Integer is a set of positive and negative numbers including zero.

Integers: {..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ...}

Whole numbers are positive numbers with zero.

Whole numbers: {0, 1, 2, 3, 4, ...}

Option A: -10

-10 is a integer. So that, it is placed in set B not in set C.

Therefore, it is not true.

Option B: 2.5

2.5 can be written as [tex]\frac{5}{2}[/tex]. It is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option C: [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] is a rational number.

Rational number placed in set A.

Therefore, it is not true.

Option D: [tex]\frac{12}{4}[/tex]

[tex]$\frac{12}{4}=3[/tex] (cancelling common factors)

3 is a whole number.

Whole numbers placed in set C.

Therefore, it is true.

Hence [tex]\frac{12}{4}[/tex] is the value that could be placed in set C.

Other Questions
All of the following describe African American life on the plantation EXCEPT:a.Work continued from sunup to sundown.b.Work continued 6 or even 7 days a week.c.Work for most was in the cotton fields.d.Work was difficult but the pay was good. We Grow Accustomed to the Dark Emily DickinsonWe grow accustomed to the Dark When light is put away As when the Neighbor holds the LampTo witness her Goodbye A Moment We uncertain stepFor newness of the night Then fit our Vision to the Dark And meet the Road erect And so of larger Darknesses Those Evenings of the Brain When not a Moon disclose a sign Or Star come out withinThe Bravest grope a little And sometimes hit a TreeDirectly in the Forehead But as they learn to see Either the Darkness alters Or something in the sightAdjusts itself to Midnight And Life steps almost straight.1. Compare and contrast how both Vincent van Gogh's painting The Starry Night and Emily Dickinson's poem "We Grow Accustomed to the Dark" treat the subjects of light and darkness. Be sure to explain how both artists rely on a tension between light and darkness in these works/mediums. (attached is the painting so you may refer back as needed) What is the GCF of 84 and 56 why is this an example of intrinsic motivation A friend of yours trades stocks based on confidential information he overhears at his work. He even told you once that this information is not available to the general public. However, he keeps complaining to you that he can never make any profit on his stock trades. Based on this, you can argue that the stock market is ___ form efficient. 9.what is the time signature.10.in which measures is rhythm,"quarter,eighth,eighth, eighth,eighth,quarter rest"found?How many beats make up this rythmic pattern? 6) A part of a whole expressed in hundredths is a _______? This said that the United States would aid any nation in resisting the growingthreat of communism and became the guiding force of American foreignpolicy during the Cold War. Ender and Shen are flying at each other during a battle in space. Ender moves with a velocity v1 of 12 m/s and Shen, with a mass of 45 kg, moves at a velocity v2 of 9.0 m/s. When the two collide, they hold on to each other and move with a velocity v3 of 6.4 m/s. What is Enders mass, in kg? Which organelle has the same function as the digestive system? Bryan is debating how to allocate the IMC budget for his new ski equipment store. He knows having knowledgeable salespeople in his store can simplify buyers' purchase decisions. He should also consider that, compared to other IMC alternatives, personal selling is:_______. A. overrated. B. ineffective. C. expensive. D. simple. E. easy. RadiationDefinition: (type here)3 additional examples of radiation (besides the pictured) (type here) Express z=10\sqrt{3} 10i in polar form.Express your answer in exact terms, using radians, where your angle is between 0 and 2 radians, inclusive. Solve the following inequality. Negative one-half p less-than negative 16 Which graph shows the correct solution? 10. A basketball court is being painted. Everythingshown below will be painted blue. How any squarefeet will be painted blue? you go to order ice cream sundae and there are lots of options! Each sundae includes one flavor of ice cream and one topping .There is strawberry, vanilla, and chocolate ice cream. You also get the choice of a topping. There are sprinkles, hot fudge, whipped cream or cookie crumbs. If you were to chose a sundae at random, find each probability. 1) P(Chocolate, sprinkles)2) P( Vanilla, hot fudge)3) P( Strawberry, cookie crumbs) How many permutations can you make from the letters A,B,C,D And E? A mass spectrometer applies a voltage of 2.00 kV to accelerate a singly charged positive ion. A magnetic field of B = 0.400 T then bends the ion into a circular path of radius 0.305 m. What is the mass of the ion? (04.01 LC)The coordinates of point A on a grid are (3, 2). Point A is reflected across the y-axis to obtain point B. The coordinates of point B are (___, 2). (1 point) The population of a community was 200 people 10 yrs ago. Today the population is 550 people. Using an exponential growth function when will the population be 1000?