Answer:
y= -5/2x + 3/2
Step-by-step explanation:
(3,-6). y=mx+b or -6=-5/2 × 3+b, or solving for b: b=-6-(-5/2)(3). b=3/2.
(-1,4). y=mx+b or 4=-5/2 × -1+b, or solving for b: b=4-(-5/2)(-1). b=3/2.
Plugging in the two points, hence y= -5/2x + 3/2
It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car?
Answer:
The total distance traveled by the toy car is 14 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 0
final velocity of the car, v = 4 m/s
time of motion, t₁ = 3 s
constant deceleration of the car, -a = 0.5 m/s²
time of motion, t₂ = 4 s
The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).
[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]
PLEASE NO LINKS thank you :)
Answer:
D
Step-by-step explanation:
if ur good at graphs come here.
Answer:
Believe its D
Step-by-step explanation:
Answer:
(-6,-12) let me know if wrong
Step-by-step explanation:
Mark me brainliest plz
Find the area of the figure.
Answer:
The answer is 28.5
Step-by-step explanation:
Right triangle: 4.5
Top triangle: 6
Rectangle: 18
Your welcome :)
Why is the average approaching 3.5?
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the average approaching 3.5, we need to use the concept of the mean or expected value.
The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.
In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.
Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:
E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5
Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.
Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:
Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232
To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:
Average approaching 3.5 = (Sum of remaining rolls) / n
We know that the total number of rolls is 3200, so the number of remaining rolls is:
n = 3200 - (number of rolls already rolled)
n = 3200 - 3200 = 0
Therefore,
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
Learn more about mean here:
https://brainly.com/question/23263573
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Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answer:
the angle measures are 60 and 30
Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:Amount of white paint used by Sarah =1.82 pints
Step-by-step explanation:
Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints
Amount of blue paint used =4/5 x 9.1=7.28 pints
Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used
=9.1-7.28=1.82 pints
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
The ratio 2.5 metres to 70 centimetres can be written in the form 1 :n
Find the value of n
Answer:
n = 28.
Step-by-step explanation:
70 divided by 2.5 is 28
- The graph of which equation is shown
below?
O
-2x + 3
B-2x + 1.5
y = 2x + 3
Dy = 2x + 1.5
Answer:
The answer is A. because of the y intercept and the slope
Jamal is making 2 1/2 batches of pizza dough. One batch requires 4/8cups of flour. Jamal takes the following steps to calculate how much flour he will need.
PLEASE HELP
Answer:
Step-by-step explanation:
1/2
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
----------------------------------------------------------------------------------------------------------------
Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
----------------------------------------------------------------------------------------------------------------
2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is
Answer:
3/20
Step-by-step explanation:
On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?
Answer:
0.2
Step-by-step explanation:
Convert the walking to percent
[tex]\frac{1}{2} \times 100 = 50[/tex]
Add both skateboarding and walking
[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]
Now, subtract that from a whole percent
[tex]100 - 80 = 20\\\\20\%[/tex]
Convert it to a decimal
[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]
Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.
1. Which of the following is NOT true about a square?
The angles have a sum of 180°.
The diagonals are congruent.
The diagonals are
perpendicular.
The diagonals bisect each other.
Answer:
the angles have a sum of 180°
To make chocolate ice cream, you need about 3/8 pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream?
Answer:
1.5 pounds. it's simply 3/8 times 4
Answer:
1.5 pounds of chocolate
Step-by-step explanation:
A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.
In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.
[tex]4\cdot \frac{3}{8}[/tex]
[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]
[tex]\frac{3}{2}=1.5[/tex]
We need 1.5 pounds of chocolate to make 4 batches of ice cream.
Good luck ^^
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
https://brainly.com/question/8018593
find the probability of rolling an even sum or a sum less than 9 when a pair of dice are rolled
Answer:
the probability is 1/12
Step-by-step explanation:
Which statement accurately describes the economic characteristics of modern
Texas?
A. Texas has one of the strongest and most diverse economies in the country.
B. Texas has a fairly strong economy, but growth has slowed since 2004.
C. Texas has a stable economy, but lacks industrial diversity.
D. Texas has a strong oil industry, but all other sectors have struggled recently.
Answer:
D
Step-by-step explanation:
sorry if incorrect
Answer:
The answer is A. Texas has one of the strongest and most diverse economies in the country.
Step-by-step explanation:
Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.
mr browner has 7 keys, one for his home 2 for his car and the rest are for his drawers in his office. if he picks up 1 without looking what is the probability it is for his car
1/7, 2/7, 3/7, 4/7, 5/7, 6/7
Answer:
2/7
Step-by-step explanation:
Because there are a total of 7 keys and he has 2 for his car so 2/7.
:DDDDD
Please help! I will give points for helpng.
Answer:
Should Be 19 students
Step-by-step explanation:
Please help me out plz
Answer:
RX is parallel to ST
Step-by-step explanation:
Answer:
Line RX and line ST are parallel to each other
Step-by-step explanation:
Which expressions represent rational numbers? Check all that apply.
Answer:
The answer is 1.2 or 5
Step-by-step explanation:
Answer:
B,D,E
Step-by-step explanation:
Find the Difference: 0.325-0.01
Answer:
= 0.315
Step-by-step explanation:
hope this helps :)
BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 
Answer:
12.0%
Step-by-step explanation:
ay - b = c solve for y
Answer:
[tex]Y=\frac{c}{a}-\frac{b}{a}[/tex]
Step-by-step explanation:
Answer:
y=c+b/a (The a is under c+b)
Step-by-step explanation:
Add the b over to c.
ay=c+b
Now divide both sides by a, which will remove the a from y.
y=c+b/a
NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help
Answer:
6 days
Step-by-step explanation:
The can relatively small... I would just say common sense.
hopefully this helps luv <3
Ryan runs 1.5 miles on his first day of training for a road race. The next day he increases his distance run by 0.3 miles. The day after that increases the distance run by another 0.3 miles and so on. what is the total number of miles Ryan runs over the course of 18 days?
Answer:
The answer is 72.9 !!!!
Step-by-step explanation:
Trust I'm taking the same test.
Ryan runs a total of 94.5 miles over the course of 18 days.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
We can approach this problem by using arithmetic progression.
The first term is 1.5 miles, and the common difference is 0.3 miles.
So,
The nth term is given by:
an = a1 + (n-1)d
where a1 is the first term, d is the common difference, and n is the number of days.
We want to find the total distance Ryan runs over 18 days, which is the sum of the first 18 terms of the arithmetic progression:
S18 = (n/2) (a1 + an)
where n is the number of terms and a1 and an are the first and last terms, respectively.
Substituting the values we have:
a1 = 1.5 miles
d = 0.3 miles
n = 18
an = 1.5 + (18-1)0.3 = 6 miles
S18 = (18/2)(1.5 + 6) = 94.5 miles
Therefore,
Ryan runs a total of 94.5 miles over the course of 18 days.
Learn more about speed here:
https://brainly.com/question/7359669
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I’m so confused help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
s = 8t
Step-by-step explanation:
every table delivers 8 seats, so s, the number of seats, will be 8 times the number of tables.
please i need this anwser the teacher is gonna litterly murder me
Answer:
65 degrees
Step-by-step explanation:
Answer:
1. obtuse angle 105 degrees
2. acute angle 60 degrees
Step-by-step explanation: