¿Cual es el resultado de dividir 164.64 entre 8

Answers

Answer 1

Answer: 20.58

Step-by-step explanation:


Related Questions

identify the area of a regular decagon with side length 2 m rounded to the nearest tenth

Answers

Answer:

Area = 14.8

Step-by-step explanation:

Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )

This formula given the side length, calculates the area.

a = 2

Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )

Area = 2.5 + 4 * sqrt(5 + 2*2.236)

Area = 2.5 + 4* sqrt(5+ 4.4721)

Area = 2.5 + 4*sqrt(9.4721)

Area = 2.5 + 4*3.0776

Area = 2.5 + 12.3107

Area = 14.8107

Answer:

A ≈ 30.8 m2

Step-by-step explanation:

find the coefficient of mt in the expansion of 4m(3n-2t)+3t(3t-2m)​

Answers

Answer:

-14

Step-by-step explanation:

12mn-8mt+9t²-6mt

12mn+9t²-14mt

the coefficient of mt is -14

The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m)​ will be -14.

What is expansion?

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given that

⇒ 4m(3n-2t)+3t(3t-2m)​

⇒  12mn -8mt + 9t² - 6mt

⇒  12mn + 9t² + 14 mt

Hence it's clear that the coefficient of mt will be -14.

For more information about the expansion

https://brainly.com/question/14447197

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ASAP HELpppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

5

This is essentially the third identical question that you posted with the same

type of solution ... if you look at the previous question you asked and the explanation.. you will see that the red line crosses a corner of a box at (4,20)

4 cups =  20 pralines thus the number you are looking for is 20/4 = 5

Step-by-step explanation:

lets try this "story" to explain...

assume that you can walk 3 miles in 1 hour

this means that at 0 hr you go 0 miles , 1 hr you go 3 miles etc

0,0

1,3

2,6

3,9

etc.

if you graph that you will have the red line in you graph, and the x values would be 0,1,2,3 with the y values being 0,3,6,9....

if you DIVIDE any of those points

3/1 ,6/2, 9,3 the result is always a "3" that is the speed that you are walking at

it is a CONSTANT (in this problem) ... note: if the speed is NOT constant then this basically becomes a calculus problem, ant an algebra one.

the item to the trashcan. Click the trashcan to clear all your answers,
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.
hypotenuse
50
S
h
O
r
t
30
long
Short = 2
Long -
00
3
7
12345678910123 + = xylab
NEXTLOUESTION
ASK FORHISP
TURNITIN

Answers

Answer:

long is rt3

short is 1

hypotenuse is 2

Step-by-step explanation:

in a 30, 60, 90 triangle, if the short side is 'x' then the long side is 'x rt3' and the hypotenuse is '2x'

simplified expression of 3(7/5x+4)-2(3/2-5/4x)

Answers

Answer:

6,7 x+9

Step-by-step explanation:

[tex]3( \frac{7}{5} x + 4) - 2( \frac{3}{2} - \frac{5}{4} x) \\ 4.2x + 12 - 3 + 2.5x \\ 6.7x + 9[/tex]

a football pitch is 90 m long and 40 m wide what is the area of the pitch if the cost of the pictures $30 per square metre what is the cost of installing the pitch​

Answers

Answer:

90 * 40 = 3600 * $30 = $108,000

Step-by-step explanation:

okay can someone pls help me i literally am so confused

Answers

View answer attached below

find the slope intercept form and the point slope (HELP)
- the line perpendicular to 4x-7y=2 going through (-6,1)

Answers

Answer:

1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)

Step-by-step explanation:

4x-7y=2

7y= 4x-2

y=(4/7)*x-2/7

To find the m2 (the number near x, it is called slope) for searched the slope intercept

use the formula for perpendicular lines

m1*m2=-1

m1= 4/7

m2= -1/ (4/7)= -7/4.

The slope intercept must look like y=m2*x+b

Use the coordinates of given point of the searched line (-6,1)  and m2= -7/4.

1= (-7/4) *(-6) +b

b= -19/2

So slope intercept is y= (-7/4)*x-19/2

Point slope formula is y-y1= m2(x-x1)  m2=-7/4. x1=-6 y1=1

y-1= -7/4(x+6)

HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:

(negative 3, negative 1), (2, 2)

a.

y = 3/5x – 5/4

c.

y = 3/5x – 4/5

b.

y = 3/5x + 4/5

d.

y = -3/5x+4/5


Please select the best answer from the choices provided



A

B

C

D

Answers

Step-by-step explanation:

solution

Coordinate (-3,-1)(2,2)

x¹=-3 x²=2, y¹=-1 y²=2

M=(y²-y¹)/(x²-x¹)

M=(2+1)/(2+3) => 3/5

Equation of line

M=(y-y¹)/(x-x¹)

3/5 = (y+1)/(x+3)

cross multiply

3(x+3)=5(y+1)

3x+9=5y+5

5y-3x=4

5y=4+3x

y=4/5 + 3x/5

(C)

Write an equation of the line that passes through the given point and is perpendicular to the given line.
(–6, –4); y = 1/3x + 1
Group of answer choices

y = -1/3x + 1

y =1/3x – 22

y = -3x + 14

y = -3x – 22

Answers

Answer:

y = - 3x - 22

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then

y = - 3x + c ← is the partial equation

To find c substitute (- 6, - 4) into the partial equation

- 4 = 18 + c ⇒ c = - 4 - 18 = - 22

y = - 3x - 22 ← equation of perpendicular line

2. Use technology to graph, or graph by hand (on graph paper- MUST BE ACCURATE) each plan on the same set of axis (all three lines on the same graph – this is not a scatter plot! You must have connecting line segments). Assume that a maximum of attendees will be 50 (you will need to adjust the scale - wrench setting). Place a copy of your graph into this document. You must have labeled axis!!! To label your axis on Desmos, go to the wrench settings. (4 marks)

Answers

Answer:

https://www.woboe.org/cms/lib8/NJ01912995/Centricity/Domain/905/Graphing-Packet%20Answers.pdf

Let me know if this helps!

Be a bit more specific on the question like what do you want us to do\

MORE INSTRUCTIONS THAN THE QUESTION

find the measure of the indicated angle to the nearest degree​

Answers

[tex]\boxed{\sf sin\Theta=\dfrac{P}{H}}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{16}{26}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{8}{13}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=0.5[/tex]

Convert to p/q form

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{5}{10}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{1}{2}[/tex]

[tex]\\ \sf\longmapsto sin\Theta=sin30[/tex]

[tex]\\ \sf\longmapsto \Theta\approx30°[/tex]

What is the value of x in the equation 4(2x + 14) = 0?
A. 9
B. 7
C. -7
D. -9

Answers

Answer:

-7

Step-by-step explanation:

2(2x+14)=0

2x+14=0

2x=-14

x=-14/2

x=-7

Answered by GAUTHMATH

{$20+$25+$22+$30+$15+$18+$20+$17+$30+$27+$15

Answers

Answer:

$239

Step-by-step explanation:

20+25+22+30+15+18+20+17+30+27+15=239

Answer: $291
Explanation: 20+25=45
22+30=52
15+18=33
20+17=37
30+27=57
45+52=97
52+33=85 > 276+15=291
37+57=94

10.(a) Nadira has some T-shirts that are either white or blue or green.
The numbers of T-shirts are in the ratio white : blue : green= 5:4:1.
48 of the T-shirts are blue.
Work out the total number of T-shirts.

Answers

Answer:

120

Step-by-step explanation:

white : blue : green

5        :4          :1

48 are blue

48/4 = 12

Multiply each by 12

white : blue : green

5*12   4*12     1*12

60        48        12

Add the numbers together to get the total

60+48+12

120

will marks brainlest helppp​

Answers

Answer:

The value is -10

Step-by-step explanation:

Nzbzgzhznbhzjs


Zmjzgshs

I need help ASAP!!! I don’t get it

Answers

Answer:

Reflexion and rotation, then translation

Answered by GAUTHMATH

WILL MARK BRAINLIEST!!
Angelica uses the point 4,3 to represent the location of her house and uses the point 10,8 to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica’s house? Show your work.

Answers

Answer:

Angelica's house is 11 miles away from the gas station.

Step-by-step explanation:

The most simple path from Angelica's house is 11 blocks away from the gas station and each unit/block is 1 mile. So 11 miles.

How high up the wall can a 12-foot ladder reach if its base is 4 feet from the wall? Round your answer to the nearest tenth of a foot if necessary.


Answers

Answer:

11.3 feet

Step-by-step explanation:

let x= answer

x²+4²=12²

x²=128

x=11.3137085

which rounds to

11.3

Answer:

11.3 ft.

Step-by-step explanation:

In order to solve this, we must use some trigonometry, in this case, SOH-CAH-TOA. If you don't know what it is, here's a quick explanation:

- SOH: Sin(θ) = Opposite / Hypotenuse

- CAH: Cos(θ) = Adjacent / Hypotenuse

- TOA: Tan(θ) = Opposite / Adjacent

(Remember, SOH-CAH-TOA can ONLY be used for right triangles. If the problem does not clearly show a right triangle, meaning that there's no box in the corner, you cannot use it)

When using SOH-CAH-TOA, we first must choose an angle, either the top one or the bottom one. We can't use the right angle as, well, you just can't :). First, we have to find the bottom angle, so circle it. Literally, just circle the angle, you'll thank me later. I'll explain why we don't solve the top angle later on.

After that, we just do some labeling on the sides of the triangle. First, label the shortest side that forms the circled angle, which is the floor (4 ft), as the Adjacent side. Then label the longest side of the triangle, which is the ladder (12 ft), as the Hypotenuse. Finally, label the side that doesn't form the circled angle as the Opposite side. This is why the circling comes in handy :)

Then, out of SOH, CAH, and TOA, we choose the one that has the sides that forms the circled angle. In this case, it's CAH, or cosine, as the adjacent and hypotenuse form the circled angle.

Next, we write out the formula and solve:

Cos(m∠Circled Angle) = Adjacent/Hypotenuse

Cos(m∠Circled Angle) = 4/12

Cos(m∠Circled Angle) x Cos^-1 = 1/3 x Cos^-1

m∠Circled Angle ≈ 70.5288 (Rounding to the nearest ten-thousandth)

Note: Pay attention to the 3rd line. 'Cos^-1' is basically the equivalent of '÷ Cos'.

The reason why we did the bottom angle first is because you cannot have two unknown variables when solving for one of them. That would've been the case if we did choose the top angle as we wouldn't know the measure of the wall nor the angle. Now that we have solved the bottom angle, we can move onto solving the length of the wall.

Looking at SOH-CAH-TOA, we can either use sine or tangent as we have the measures for both the adjacent and hypotenuse. I'll use sine cause why not? Anyways, let's move on!

Just like last time, we write out the formula and solve:

Sin(m∠Circled Angle) = Opposite/Hypotenuse

Sin(70.5288) = Opposite/12

0.9428 = Opposite/12

0.9428 x 12 = Opposite/12 x 12

11.3137 ≈ Opposite (Wall)

Wall ≈ 11.3 ft. (Rounding to the nearest tenth, as asked to do so by the problem)

Note: Be careful with SOH-CAH-TOA because I've messed up multiple times with my calculator while typing out my explanation, so just make sure you go over it several times before submitting your answer when solving trig problems :). But I'm confident with my answer, so just submit it without hesitation as I've already double-checked my work.

Problem 1 Find the mBC.

Answers

Answer:

m BC = 100

Step-by-step explanation:

Since the angle is at the center, the arc has the same measurement as the angle

m BC = 100

Solve for x.
A) - 9
C) -5
B) -11
D) 10

Answers

Answer: D) 10

Step-by-step explanation:

All angles in a triangle adds up to 180°

60° + 50° + 7x = 180°

7x = 180° - 60° - 50° = 180°- 110° = 70°

x = (70 ÷ 7)° = 10°

Find the area of the shape shown below.

this is on khan academy

Answers

Answer:

42 units^2

Step-by-step explanation:

Break this into a rectangle and a triangle

The rectangle is 12 by 1

A = l*w = 12*1 =12

The triangle has a base of 6-1 =5  and a height of 12

A = 1/2 bh = 1/2 (5)*12 = 30

Add the areas together

12+30 =42

Answer:

[tex]42 \: {units}^{2} [/tex]

Step-by-step explanation:

First divide the shape into triangle and a rectangle

then find the Area of the triangle and the rectangle separately

Area of the rectangle

[tex]area = l \times b \\ = 12 \times 1 \\ = 12 \: \: {units}^{2} [/tex]

Area of the triangle

[tex]area = \frac{1}{2} \times bh \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 \: \: {units}^{2} [/tex]

Area of the shape

[tex]12 + 30 = 42 \: {units}^{2} [/tex]

Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebraically.

Answers

Answer:

Therefore, the value of x is 5.

Step-by-step explanation:

We can match each equation to find the solutions.

[tex]8x-40=x^{2}-2x-15[/tex]

[tex]0=x^{2}-2x-8x-15+40[/tex]

[tex]x^{2}-10x+25=0[/tex]

Now, we need solve this quadratic equation.

[tex](x-5)^{2}=0[/tex]

Therefore, the value of x is 5.

I hope it helps you!

 

Find the volume of this cylinder. 9cm 20cm
a 29cm
b 38cm
c 180cm
d 1620cm

Answers

Step-by-step explanation:

v=Ah

A=9×12

= 108

then, v=108×8

PLEASE HALPPP

Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

(I need sleep and will give brainiest or whatever TvT)​

Answers

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and
there are an assortment of snacks available to purchase for $3 each. How much total
money would Hawa have to pay for her family if she were to buy 10 snacks for
everybody to share? How much would Hawa have to pay if she bought & snacks for
everybody to share?
Total cost with 10 snacks:
Total cost with x snacks:

Answers

Answer:

The snack s will cost 30$. But the movies would cost 75$

The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be $30.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

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

Hawa is going to see a movie and is taking her 5 kids. Each movie ticket costs $15 and there is an assortment of snacks available to purchase for $3 each.

The amount of money that he pays for her family if she were to buy 10 snacks for everybody to share will be given as,

⇒ 10 x $3

⇒ $30  

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?

Answers

Answer:

[tex]Ratio = \frac{2}{3}[/tex]

Step-by-step explanation:

Given

See attachment

Required

Vertical length / Horizontal length

From the attachment, we have:

[tex]y = 4\ units[/tex] --- the vertical length of the larger triangle

and

[tex]x = 6\ units[/tex] --- the horizontal length of the larger triangle

So, the ratio is:

[tex]Ratio = \frac{y}{x}[/tex]

[tex]Ratio = \frac{4\ units}{6\ units}[/tex]

[tex]Ratio = \frac{4}{6}[/tex]

Divide by 2

[tex]Ratio = \frac{2}{3}[/tex]

x>0, y>0, 2x+3y=8, smallest value of xy? pls help me

Answers

Answer:

where there is x in the equation we put 0

For y

=2(0)+3y=8

=0+3y=8 Group likely terms

=3y=8-0

=3y=8 Divide both sides by 3

=3y/3=8/3

Therefore y=2.6

For x

=2x+3y=8

=2x+3(0)=8

=2x+0=8 Group likely terms

=2x=8-0

=2x=8 Divide both sides by 2

=2x/2=8/2

Therefore x=4

The smallest numbers for x and y is 4 and 2.6 respectively

Which of the following numbers are solutions of the sentence x-3 < 2?
I -3
II 0
III 2
IV 5

O ll only
O III only
O I and III only
O I, II, and III only
O I, II, III, and IV​

Answers

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

It takes four or three hours to get a pair of socks and seven hours to get a pair of clothes as he spends 89 hours kidding a total of 15 pairs of socks and gloves how many pairs of each does she kinit?

Answers

Answer:

Gloves = 11 pairs

Socks = 4 pairs

Step-by-step explanation:

Given that :

Time taken to knit pair of socks = 3 hours

Time taken to knit pair of gloves = 7 hours

Total time taken to knit 15 pairs of gloves and socks = 89 hours

Let :

number of socks = x and number of gloves = y

x + y = 15 - - - - (1)

3x + 7y = 89 - - - (2)

From (1):

x = 15 - y

Put x = 15 - y in (2)

3(15 - y) + 7y = 89

45 - 3y + 7y = 89

45 + 4y = 89

4y = 89 - 45

4y = 44

y = 44/4

y = 11

From :

x = 15 - y

x = 15 - 11

x = 4

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Can someone help please I. Complete the sentences, using the -ing form of the given verbs.do / stay / try / take / go(x2) / collect / eat / watch / plant1. We enjoy ....................... for a walk around the lake every evening.2. My friend Jenifer loves ........................ unique things.3. Most of my friends don't like ....................... homework at the weekend.4. Do you like ............................. flowers in the balcony?5. I hate .............................. outdoors in the summer. It's so hot.6. I don't like ...................... challenging sports like ice skating or surfing. 7. My cousin David adores ..................... photos. He has got an expensive camera.8. Who dislikes ........................... films on TV?9. Does Laura hate .................... noodles?10. My mother detests ......................... by bus because she can be carsick. Rewrite the sentence in the passive voice:Many different companies are now making cellphones. Civil DisobediencePart 1Most people remember Gandhi and Dr. Martin Luther King, Jr. as reformers who practiced non-violent forms of protest and advocacy. Both effectively changed the popular opinion about emotional issues for their countries and brought in a wave of change that was long overdue. But the practice of non-violent protest, or civil disobedience, started long before either Gandhi or King. It began with a quiet, shy poet who is best known for writing a lot about a pond. Henry David Thoreau lived from 1817 until 1862, mainly in the area of Concord, Massachusetts. The issue that would tear the country apart in the 1860s had already begun dividing the nation. Thoreau was only 14 when Nat Turner led the slave rebellion in Virginia and was later hanged. In his late 20s, Thoreau began speaking against slavery in public, echoing the voices of freedmen like Frederick Douglass and Lewis Hayden.Thoreau believed that a government that supported slavery was corrupt and immoral. 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He wrote that "even voting for the right is doing nothing for it A wise man will not leave the right to the mercy of chance" He felt that one had a moral responsibility to resist unjust laws.Which line from Part 1 best explains Thoreau's message? Thoreau began speaking against slavery in public, echoing the voices of freedmen like Frederick Douglass He was reportedly furious that any tax was paid on his behalf It was this experience that Thoreau wrote about in an essay called "Civil Disobedience." He felt that one had a moral responsibility to resist unjust laws. Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.a = 7.3 in.b = 13.2 in.c = 15.8 in.A = 27.3, B = 56.1, C = 96.6No triangle satisfies the given conditions.A = 29.3, B = 54.1, C = 96.6A = 25.3, B = 56.1, C = 98.6 in the box of Stones ,the ratio of red marbles is 2:5. the ratio of green stones to the total stones is 3:10 .if the stones that are neither red nor green are blue ,how many blue are in the box.if there are 40 marbles in the box?. A user is configuring an email client application and decides to use the TCP/IP suite protocol that will store all messages on the email server so that they can be synchronized across a laptop, a smartphone, and a web email client. This protocol will store the email messages on the email server until the user explicitly deletes them.Which of the following TCP/IP port numbers will the client application typically use while using this protocol to contact the email server?A. 21B. 80C. 110D. 143 Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to thegiven statistics and confidence level. Round the margin of error to four decimal places.1)99% confidence; n Find the value of x. can you guys help me with this question what is social harmony Makers Corp. had additions to retained earnings for the year just ended of $553,000. The firm paid out $191,000 in cash dividends, and it has ending total equity of $4.96 million. The company currently has 240,000 shares of common stock outstanding. a. What are earnings per share Sarah Wiggum would like to make a singlelump-sum investment and have $1.6 million at the time of her retirement in 32 years. She has found a mutual fund that expects to earn 4 percent annually. How much must Sarah invest today? If Sarah earned an annual return of 16 percent, how much must she invest today? If Sarah can earn 4 percent annually for the next 32 years, how much will she have to invest today? You and six friends play on a basketball team. A sponsor paid $100 for the league fee, x dollars for each players T-shirt, and $68.25 for trophies. Write an expression for the total amount paid by the sponsor Form a union for the following sets.M = {1, 2, 4, 8)N = (2,5,8) A circle is represented by the equation below:(x 9)2 + (y + 8)2 = 16Which statement is true?a) The circle is centered at (9, 8) and has a radius of 8.b) The circle is centered at (9, 8) and has a diameter of 8.c) The circle is centered at (9, 8) and has a radius of 8.d) The circle is centered at (9, 8) and has a diameter of 8. Please hurry I will mark you brainliest It's a hot summerday and the icecream truck is on it's way. The driver gives you two options:1) You can have a cone that is doubled in radius but the same height as a regular cone.OR2) You can have a cone that is doubled in height but the same radius as a regular cone.Which would you choose and why?You can explain it or attach a picture of your work. Kevin's supervisor, Jill, has asked for an update on today's sales, Jill is pretty busy moving back and forth between different store locations. How can Kevin most effectively deliver an update to her ? a ) Call with a quick update Ob ) Send a detailed text message c ) Book a one-hour meeting for tomorrow morning d ) Send a detailed email NEED ASAP (BRAINLIEST FOR BEST ANSWER) Compare the two articles below again, and then answer the questions that follow.In your own words, evaluate the objectivity of each article. Where can you see the authors personal biases? Where can you see an objective delivery of facts? What is the central message of each article? If a bicyclist rides for 100 minutes at an average speed of 14 miles per hour, how far was the ride, to 1 decimal place?