Answer:
-5
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
=(-12 -8)/(3 - -1)
=(-12-8)/(3+1)
= -20/4
= -5
ATTENDING TO PRECISION The diagram shows an insect called a walking stick Use the ruler to estimate the length of the abdomen and the length of the thorax to the nearest inch. How much longer is the walking stick's abdomen than its thorax? How many times longer is its abdomen than its thorax?
Estimation and precision are used when the actual value cannot be easily determined or calculated.
The length of the abdomen is [tex]2\frac 14[/tex] inchesThe length of the thorax is [tex]1\frac 34[/tex] inchesThe abdomen is longer than the thorax [tex]1\frac 27[/tex] timesGiven that, the length is to be measured to the nearest [tex]\frac 14\ inch[/tex], we have the following observations
The length of the abdomen starts at the 0 mark and ends after the 2-mark. The length ends before [tex]2\frac{1}{2}[/tex]. So, the length of the abdomen can be estimated to [tex]2\frac{1}{4}[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].Similarly, the length of the thorax starts at the [tex]2\frac{1}{4}[/tex] mark and ends before [tex]4\frac{1}{4}[/tex]. The end of the thorax length can be estimated to: [tex]4[/tex] --- to the nearest [tex]\frac{1}{4}[/tex].So, we have:
[tex]L_1 = 2\frac 14[/tex] --- the length of the abdomen
[tex]L_2 = 4 - 2\frac 14[/tex]
Express as improper fraction
[tex]L_2 = 4 - \frac{9}{4}[/tex]
Take LCM
[tex]L_2 = \frac{16 - 9}{4}[/tex]
[tex]L_2 = \frac{7}{4}[/tex]
Express as proper fraction
[tex]L_2 = 1\frac{3}{4}[/tex] --- the length of the thorax
The number of times (n) the abdomen is longer than the thorax is calculated as follows:
[tex]n = L_1 \div L_2[/tex]
So, we have:
[tex]n = 2\frac 14 \div 1\frac 34[/tex]
Express as improper fractions
[tex]n = \frac 94 \div \frac 74[/tex]
Rewrite as:
[tex]n = \frac 94 \times \frac 47[/tex]
[tex]n = \frac 97[/tex]
Express as proper fractions
[tex]n = 1\frac 27[/tex]
Hence, the abdomen is [tex]1\frac 27[/tex] times longer than the thorax
Read more about estimation and precision at:
https://brainly.com/question/509148
order from least to greatest 4^2,√15 ,-5/2,-2 1/3,1/16
Answer:
-2 1/3, 1/16, √15, 4^2
Following order from least to greatest.
The cost of a repair, which depends on the hours of labor it takes to make the
repair, is $200. Which of the following best shows this is
otation?
A. Hours($200) = cost
B. Hours(cost) = $200
C. Cost(hours) = $200
D. Cost($200) = hours
Answer:
I think it's B. Hours(cost) = $200 but I could be wrong
Evaluate k + 3 when: *
4 points
51 13 15 43 9 45 37
k = 12
k = 48
k = 10
k = 40
k = 12
k = 48
k = 10
k = 40
Step-by-step explanation:
12 + 3=15
48+ 3=51
10 + 3=13
40 + 3=43
12 + 3=15
48 + 3=51
10 + 3=13
40+ 3=43
can any one solve this please....I kinda need this
9514 1404 393
Answer:
t₂ = 2t₃ = 2Step-by-step explanation:
The given expression says ...
[tex]t_n+1=3\\\\t_n=2\qquad\text{for any value of n}\\\\t_2=2\\\\t_3=2[/tex]
Answer:
[tex]here \: tn + 1 = 3 \\ tn = 2 \\ put \: n = 1 \\ t1 = 2 \\ n = 2 \\ t2 = 2 \\ n = 3 \\ t3 = 2 \\ for \: all \: n \: values \: = 2 \\ thank \: you[/tex]
4/9 and 10/3 least common denominator?
Answer:
4/9 and 30/9
Step-by-step explanation:
9, 18, 27, 36
3, 6, 9, 12,
4/9 already has 9 denominator
10/3 × 3/3= 30/9
so now both numbers have common denominators.
4/9 and 30/9
solve for w 3w + 6w - 19 = -91
please
Hi ;-)
[tex]3w+6w-19=-91\\\\3w+6w=-91+19\\\\9w=-72 \ \ /:9\\\\\huge\boxed{x=-8}[/tex]
Answer:
w = -8Step-by-step explanation:
Given:
3w + 6w - 19 = -91Isolate w, add 19 to both sides:
3w + 6w = -91 + 19Simplify both sides:
9w = -72Divide both sides by 9:
w = -72/9w = -8Can you answer this and simplify this?
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1
Answer and Step-by-step explanation:
The length of the rectangle is 3 + w (w represents the width).
The polynomial representing the area of the rectangle:
a (area) = w(3 + w) = w^2 + 3w
A)
a = 1
b = 2
c = 3
d = 1
B)
w = 4
(4)^2 + 3(4) = 8 + 12 = 20
e = 20
#teamtrees #PAW (Plant And Water)
I hope this helps!
ok how do you add pictures
a survey of 100 high school students provided this frequency table on how students get to school. find the probability that a random selected student either takes the bus or walks. need help ASAP. picture is included.
Answer:
60% or 3/5
Step-by-step explanation:
Add up how many students take the bus: 50, and how many walk:10
Put that number over 100 and simplify: 60/100=6/10=3/5
Enter an inequality that represents the graph in the box.
Answer:
It will be -8≤×≤8
Please answer in full
Answer:
1) 1/2 *bh
2) 2s+4
3) 35+2m
can someone please help
5(1+2m)=1/2(8+20m)
Answer:
no solutions
Step-by-step explanation:
5(1+2m)=1/2(8+20m)
5+10m = 4+10m
10m-10m= 4-5
No solutions
0.736euros= 1us dollar
Answer:
0.86 United States Dollar
Step-by-step explanation:
Choose the correct simplification of (9x3y2)2.
Answer:
The Correct simplification is: (3².2x³y²)
Answer:
81x^6y^4
Step-by-step explanation:
please help me is for my homework
Answer:
126/100
Step-by-step explanation:
126% / 100
= 1.26
Answer:
1.26
Step-by-step explanation:
divide 126 by 100 first
[tex]\frac{126}{100}[/tex]
you will get
1.26
Marcus is tying two bows for birthday gifts. He uses 3 3/8 feet of ribbon for Crystal's gift and 2 3/4 feet for Tim's gift. If he has an 8-foot roll of ribbon, how much will Marcus have left over?
Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.
It is important we understand that foot refers to single unit of measurement while feet is the plural of foot.
Marcus needs to tie two bows for birthday gifts and he has an 8-foot roll of ribbon.
• He uses 3 3/8 (27/8 as a fraction) feet of ribbon for Crystal's gift.
• He uses 2 3/4 (11/4 as a fraction) feet for Tim's gift.
The left-over computation is as follows:
= [tex]8 - \frac{27}{8} - \frac{11}4}[/tex]
= [tex]\frac{256-108-88}{32}[/tex]
= [tex]\frac{60}{32}[/tex]
= [tex]\frac{15}{8}[/tex] or [tex]1\frac{7}{8}[/tex] feet
Marcus will have [tex]1\frac{7}{8}[/tex] feet as left-over.
See related question here brainly.com/question/14702678
how far is the point (8,6) from the origin
7 squared plus 10 times 5 plus 10
Answer:
109
7²=49 (7×7=49)
10×5=50
Therefore,
49+50+10= 109
What is the solution to this system of equations?
Please help!!
Answer:
(5,1)
If you use substitution it'll be very easy.
In this case substitute the second equation into the first so you get y+4+y=6. Then simplify and you'll get 2y=2. Then solve for y and you'll get 1. Now plug in the 1 for y into either of the equations. Let's plug it into the second equation. X=1+4. X=5.
Final answer is (5,1).
The solution to the system of equations is x = 5, y = 1
The given system of equations is:
x + y = 6......(1)
x = y + 4......(2)
Substitute the equation x = y + 4 into the equation x + y = 6
y + 4 + y = 6
Collect like terms
y + y = 6 - 4
2y = 2
y = 2/2
y = 1
Substitute y = 1 into equation (2)
x = 1 + 4
x = 5
The solution to the system of equations is x = 5, y = 1
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Can someone give me a simple explanation of how to calculate probability? Thanks!
Step-by-step explanation:
Determine a single event with a single outcome. ...Identify the total number of outcomes that can occur. ...Divide the number of events by the number of possible outcomes. ...Determine each event you will calculate. ...Calculate the probability of each event.pls mark me the brainliest pls
there are 60 teams attend a chess tournament. every team will play with every other team exactly once. Supposed each team has a 50% chances of winning any games it plays and no ties occue which is the probability that no two teams win the same number of games
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
The reason for arriving at the above probability is as follows:
The given parameters are;
The number of teams in the tournament, n = 60
The chance of a team winning a game = 50% = 0.5
The number of ties = No ties
The required parameter:
The probability that no two teams win the same number of games
Method:
Calculate the number of ways no two teams win the same number of games, and divide the result by the total number of possible outcomes
Solution:
The number of matches played, n = [tex]\dbinom {60} {2}[/tex] = 1,770
The possible outcomes = 2; Winning or losing
The total number of possible outcomes, [tex]n_p[/tex] = 2¹⁷⁷⁰
The number of games won by each team is between 0 and 59
The ways in which no two teams won the same number of games is given by the games won by the teams to be 0, 1, 2,..., 57, 58, 59
Therefore, the number of ways no two teams won the same number of games, the required outcomes, [tex]n_k[/tex] = 59!
[tex]Probability = \dfrac{Number \ of \ possible \ outcomes}{Number \ of \ required\ outcomes}[/tex]
The probability that no two teams win the same number of games is given as follows;
[tex]\mathbf{P(No \ two \ teams \ won \ the \ same \ number \ of \ games)} = \dfrac{n_k}{n_p}[/tex]
Therefore;
[tex]P(No \ two \ teams \ won \ the \ same \ number \ of \ games) = \dfrac{59!}{2^{1,770}} \approx \mathbf{2.084 \times 10^{-453}}[/tex]
The probability that no two teams win the same number of games, P ≈ 2.084 × 10⁻⁴⁵³
Learn more about probability theory here:
https://brainly.com/question/1539712
A cylinder has a base area of 154 cm² and a height of 20cm. What is its total surface area, in cm?? Use, 22/7
A.1188
B.1200
C.1220
D.1224
Answer:
Hi there!
We've given with the base area and height. We know the formula for base area
Base area = πr²
154 = 22/7 × r²
154 × 7/22 = r²
49 = r²
√49 = r
7 = r
Now
TSA = 2πr(h + r)
TSA = 2 × 22/7 × 7(7 + 20)
TSA = 44(27)
TSA = 1188 cm²
Sequence A counts down from 46 by 7: 46, 39, 32 and so on. Sequence B counts down from one number (not 46) by another number (not 7). In sequence B, the second number is 35, the sixth number is 23, and the sequence ends with the first single-digit number that it comes to. how many numbers are in the sequence B
Answer:
Step-by-step explanation:
Sequence is geometric.
[tex]\\u_2=35=u_1+r\\u_6=23=u_1+5*r\\\\u_6-u_2=23-35=-12=u_1+5r-(u_1+r)=4r\\r=-3\\u_1=u_2-r=35-(-3)=38\\\\\text{Let say n the number or numbers in the sequence}\\\\u_n=38+(n-1)*(-3) <10\\38-3n+3 < 10\\41-10 <3n\\n > \frac{31}{3} \\n > 10\\\\u_n=38+(n-1)*(-3) > 0\\\\38-3n+3 >0\\41 >3n\\\\n < \frac{41}{3} \\n< 13.66666\\n < 14\\Possible\ value\ of \ n:\ 11;12;13\\[/tex]
Last term is 8; 5; 2
Numbers of sequence B= 11 or 12 or 13
SOMEONE HELP PLEASE IT'S DUE IN A FEW MINUTES
if f(x)=3x and g(x)=x+2 find (f-g) (x)
Jerimiah records lap times at the track meet on Saturday. He records a time of 85 seconds for Jennifer's lap, but she really completed the lap in 84.25 seconds.
What is the approximate percentage of error in Jerimiah's measure?
Answer:
I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.
18. Mabel gave Margo a bag containing red, white, and
blue marbles. The bag contained half as many red
marbles as blue ones, and 1/4 of the marbles in the
bag were white. If 8 of the marbles were red, how
many marbles were in the bag?
Answer:
32.
Step-by-step explanation:
Let the number of red marbles be x then the number of blue = 2x
So we have 8 red and 16 blue marbles.
If the total number of marbles are y marbles the number of white one = y/4.
So y = y/4 + 8 + 16
3/4y = 24
y = 24 * 4/3
= 96/3
= 32 marbles.
=
Marley made three full pitchers of lemonade. Eachpitcher holds exactly five cups of liquid. How many ounces of lemonade did Marley make?
Answer:
120 fluid ounces
Step-by-step explanation:
1 cup = 8 fluid oz
Multiply 15 on both sides (since there is 3 pitchers and each is 5 cups, so 3 * 5 = 15 cups in total for all 3 pitchers) and we get 15 cups = 120 fluid oz.
So that's our answer
Hope this helped!
[I know this is a bit rude asking, but can I please have a Brainliest?]
Write the conjugate of the following complex
number:
-6i
Answer:
[tex]6i[/tex]
Step-by-step explanation:
We want to write the conjugate of the complex number:
[tex]-6i[/tex]
Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.
We can rewrite our complex number as:
[tex]\displaystyle 0 - 6i[/tex]
Hence, a = 0 and b = 6.
Then its conjugate will be:
[tex]0 + 6i = 6i[/tex]
Calculate the cost for the fuel needed for Sam to drive to Nanaimo to tofino
(15 points)
Answer:
cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78
Step-by-step explanation:
Diatance from Nanaimo to Tofino is 207km.
Now:
fuel consume in 100km= 12L
fuel consume in 1km=12/100L
We have to find consumption of fuel in 207km.
fuel consume in 207km=12/100 × 207km
= 24.84L
Price of 1 liter= $1.40
Price of 24.84 liters=$1.40 × 24.84
=$34.78
Note:If you have question about it you can ask.Thanks
