Answers
Answer:
6a) i- 2hrs 36mins ii- 3hrs 12mins
b) car A≈ 76.9km/h car B≈ 62.5km/h
c)------
7a) 35km
b) car A=75km car B=60km
c) 30km
d) car A≈36mins car B≈48mins
Step-by-step explanation:
6a) Using the graph follow the lines until they finish then go downwards until you get to the x-axis. The x-axis is going up by 12mins for each square.
b) Using the answer from a, you divide 200km by the time.
For car A 2hrs 36mins becomes 2.6 because 36mins/60mins=0.6
∴ car A: 200/2.6≈ 76.92km/h
For car B 3hrs 12mins becomes 3.2 because 12mins/60mins=0.2
∴ car B: 200/3.2≈ 62.5km/h
7a) Using the graph go down from where the line of car A finished to meet car B. The y-axis is going up by 5km for each square.
b) Starting from the x-axis at 1 hour go upwards to see where you meet the car B line (60km) and car A line(75km). (sorry if that does not really make sense).
c) Difference from car A line to car B:
155km-125km=30km
d) Going across from 50km meet car A line and go down to see it has been travelling for approx. 36mins. Then continue across to car B line, go down to see it reached 50km at approx. 48mins.
Hope this helps.
Related Questions
The midpoint of line segment AB is (-2,1). If the coordinates of B are (0,2) what are the coordinates of A?
Answers
The required coordinate of A will be at (-4, 0)
When a point bisects a line, it cuts the line into two equal parts and the point on that line is known as its midpoint. The expression for calculating the midpoint of a line is expressed as;
[tex]M(X, Y)= [{ \frac{x_2+x_1}{2} , \frac{y_2+y_1}{2} ][/tex] where:
[tex]X =\frac{x_2+x_1}{2} \\Y=\frac{y_2+y_1}{2}[/tex]
From the question, we are given the following coordinate points
[tex]X=-2\\x_1=0\\[/tex]
Get x₂;
[tex]X =\frac{x_2+x_1}{2}\\-2 =\frac{x_2+0}{2}\\2 \times -2=x_2+0\\-4=x_2\\ Swap\\x_2=-4\\[/tex]
Get y₂;
[tex]Y =\frac{y_2+y_1}{2}\\1 =\frac{y_2+2}{2}\\2 \times 1=y_2+2\\2=y_2+2\\y_2=2-2\\y_2=0[/tex]
Hence the coordinate of A will be (-4, 0)
Learn more about the midpoint here: https://brainly.com/question/18315903
Simplify.
[tex] \frac{6a + 18b - 12c}{6} [/tex]
8th grade maths
Answers
Step-by-step explanation:
[tex] \frac{6a + 18b - 12c}{6} \\ = \frac{6a}{6} + \frac{18b}{6} - \frac{12c}{6} \\ = a + 3b - 2c \\ thank \: you[/tex]
F(x)=0.5x^2-2 and g(x)=8x^3+2
Answers
Answer:
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
Step-by-step explanation:
To find (f*g)(x), you need to multiply f(x) with g(x). Use FOIL to multiply.
f(x) = 0.5x² - 2
g(x) = 8x³ + 2
(f*g)(x) = (0.5x² - 2)(8x³ + 2)
(f*g)(x) = 4x⁵ + x² - 16x³ - 4
(f*g)(x) = 4x⁵ - 16x³ + x² - 4
7>x/4 solve for x
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x
Answer:
28 > x
Step-by-step explanation:
7>x/4
Multiply each side by 4
4*7 > x/4 *4
28 > x28 > x
Simplify the following expression and write
in scientific notation.
(0.00045)(500,000)
0.0015
Answers
Answer:
Correct
1.5×10^5
Step-by-step explanation:
first multiply 0.00045x500000 then you get 200 and divide that by 0.0015 you will get 150000 the equation will be 1.5x10^5
The expression is in scientific notation [tex]1.5 \times 10^5[/tex].
GivenThe expression is;
[tex]\dfrac{0.00045 \times 500,000}{0.0015}[/tex]
Firstly simplify the equation
[tex]= \dfrac{0.00045 \times 500,000}{0.0015}\\\\= \dfrac{2225}{0.0015}\\\\= 150,000[/tex]
Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.
Therefore,
The expression is in scientific notation.
[tex]= 150,000\\\\= 15 \times 10000\\\\= 1.5 \times 10 \times 10000\\\\= 1.5 \times 10^5[/tex]
Hence, the expression is in scientific notation [tex]1.5 \times 10^5[/tex].
To know more about Scientific notation click the link given below.
https://brainly.com/question/10764675
Heyo random person scrolling.Please help me?
Answers
Let's do
[tex]\\ \sf\longmapsto 2sin^260cos60tan^245[/tex]
[tex]\\ \sf\longmapsto 2\left(\dfrac{\sqrt{3}}{2}\right)^2\times \dfrac{1}{2}\times (1)^2[/tex]
[tex]\\ \sf\longmapsto 2\times \dfrac{(\sqrt{3})^2}{2^2}\times \dfrac{1}{2}\times 1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{2}\times \dfrac{1}{4}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{4}[/tex]
Trigonometric values
[tex]\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} $ \sin $ & 0 & $\dfrac{1}{2 }$ & $\dfrac{1}{ \sqrt{2} }$ & $\dfrac{ \sqrt{3}}{2}$ & 1 \\ \cline{1-6} $ \cos $ & 1 & $ \dfrac{ \sqrt{ 3 }}{2} } $ & $ \dfrac{1}{ \sqrt{2} } $ & $ \dfrac{ 1 }{ 2 } $ & 0 \\ \cline{1-6} $ \tan $ & 0 & $ \dfrac{1}{ \sqrt{3} } $ & 1 & $ \sqrt{3} $ & $ \infty $ \\ \cline{1-6} \cot & $ \infty $ &$ \sqrt{3} $ & 1 & $ \dfrac{1}{ \sqrt{3} } $ &0 \\ \cline{1 - 6} \sec & 1 & $ \dfrac{2}{ \sqrt{3}} $ & $ \sqrt{2} $ & 2 & $ \infty $ \\ \cline{1-6} \csc & $ \infty $ & 2 & $ \sqrt{2 } $ & $ \dfrac{ 2 }{ \sqrt{ 3 } } $ & 1 \\ \cline{1 - 6}\end{tabular}}[/tex]
he greatest common factor of each term in the expression 60 a b minus 72 b is 12b. Which choice shows the expression written as a product?
Answers
Answer:
Hey there!
60ab-72b
12b(5a-6)
The GCF is 12b.
Let me know if this helps :)
Answer:
b
Step-by-step explanation:
!!!HELP ME!!! ILL GIVE YOU BRAINLIEST!!!!
Celine has earned the following homework scores in her history class: 5, 0, 4, 8, 10, 9, 4, 6, 2. There is one homework assignment to go and Celine needs a homework average of at least 8. If each homework assignment is worth a maximum of 10 points, can she achieve her needed average?
Answers
Answer:
She can not achieve her average.
Step-by-step explanation:
For her homework average to be 8 or above, she needs to have at least 80 total points to be divided among 10 assignments.
If you add up all the values, 5, 0, 4, 8, 10, 9, 4, 6, 2, you would get 48.
She can not achieve her average because even with the maximum amount of points, 10, 58 is still less than 80.
Answer:
No
Step-by-step explanation:
Most of her scores are under 50 or 50
5 2 4 4 0
Line m and point P are shown below. Part A: Using a compass and straightedge, construct line n parallel to line m and passing through point P. Leave all construction marks. Part B: Explain the process that you used to construct line n.
Answers
Answer:
The steps to construct a a line parallel to another line from a point includes
1) From the given line draw a transversal through the point
2) With the compass, copy the angle formed between the transversal and the given line to the point P
3) Draw a line through the intersection of the arcs of the angle construction to get the parallel line through the point P
Step-by-step explanation:
Show ALL STEPS You may use the Balance Strategy Game to help.
x/2+x/4=5
Answers
For his science project, Chip decided to test how well plants grew with fertilizer. He started off by planting seeds in three different pots and labeling each of the plants. Plant A had no fertilizer. Plant B had the recommended amount of fertilizer. Plant C had four times the recommended amount of fertilizer. For ten consecutive days he measured the height of each plant in centimeters. The follow ing table shows his results. Which plant grew the most from Day 7 to Day 9?
Answers
Now in pot experiments the most important point is to have the same number of plants per pot. To achieve this you plant more seeds and then you thin them after emergence to keep the same number of uniform plant per pot.
Now for calculating fertilizer rate of application in pots, you calculate according to soil weigh as you correctly indicated 2.2 M Kg/ha. You don't have to weigh the soil, just use the bulk density to calculate weigh from volume. Forget about space in pot experiment. you will have a lot of problems since pots have different shapes and forms!
Another recommandation mix soil and fertilizers for each treatment for the number of replicate pots. If you are using 5 replicates pot of 2 Kg soil/ pot, mix the fertilizers you want to apply to the 5 pots with 10 Kg of soil and after mixing well (preferably mechanically) distribute the same volume of soil in each one of the 5 pots.
If the amount of fertilizer to apply is small mix with some soil first and mix well before mixing to the whole soil. The idea is to have as much as possible, a uniform distribution.
You might also consider fractionating you nitrogen source if it will be leached.
Now according to the exact aim of your work other method sof fertilizationare possible.
Finally remember that maize is a mycorrhizal plant and this beneficial symbiosis can be influenced by the amount of soluble P you are adding.
Wishing you a lot of success in your work
hope it's help you plz mark as brain list.......!!!!!!!!!!!!!!!!
hope it will helps you
ashley here
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities?
Answers
____________________________
Hope it is helpful!!
A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?
A). Data point A
B). Data point B
C). Data point C
D). Data point D
Answers
Answer:
Data Point B and Data point E
Step-by-step explanation:
Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.
Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.
What is the value of c ?
Answers
Answer:
the value of c is 70
Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Answers
Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 108. What was the percent error of Martha's estimation?
Answers
Answer:
Roughly 20.4%
Step-by-step explanation:
Use the formula of percent of error:
| Actual number - Guess / Actual number | (100)
The actual number is 108 and the guessed number is 86:
| 108 - 86 / 108 | (100)
= | 22/108 | (100)
= | 0.2037037037 | (100)
The vertical lines indicate absolute value. This means that anything inside of it must be turned into its positive form. Since it is already positive, just take the signs away:
0.2037037037(100)
≈ 0.204(100)
= 20.4
Turn this into a percent:
20.4%
Martha's percent of error is 20.4%
Please tell me if I was right or not. I really hope this helps!
What is the minimum Valium of this function? F(x)=150•sin(3•x)
A=150
B=-150
C=200
D=-200
Answers
Answer:
B -150.
Step-by-step explanation:
The minimum value of a sine is -1
So the answer is 15 * - 1 = -150.
Answer:
-150
Step-by-step explanation:
F(x)=150•sin(3•x)
The minimum that sin takes is negative 1
so 150(-1) = -150
The minimum of f(x) is -150
mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.
Answers
mean marks of 100 students was 40.. It was discovered that 53 was misread as 83. Find the actual mean.
Solution:-Total mean score = 40
[tex]mean \: = \frac{sum \: of \: observation}{number \: of \: observations} [/tex]
sum of observations
= mean × no of observations
= 40×100
= 4000
After the replacement, sum of new observation will be
=4000-83+53
= 3970
mean of new the observation will be
[tex] = \frac{3970}{100} [/tex]
[tex] = 39.7[/tex]
[Hence, the actual mean is 39.7]
Find the missing probability. P(A)=720,P(B)=35,P(A∩B)=21100 ,P(A∪B)=?
Answers
P( A U B) = 37/50
Step-by-step explanation:
7/20+3/5+21/100
IF YOU NEED MORE HELP LMK
If you can please mark this as the brainliest
Find the equivalent expression by drawing a line from the left column to the right
Answers
Answer/Step-by-step explanation:
[tex] 2(3x - 1) = 2*3x 2*-1 = 6x - 2 [/tex]
[tex] (x*y)2 = (xy)2 = 2xy [/tex]
[tex] 2(2x - 3) = 2*2x 2*-3 = 4x - 6 [/tex]
[tex] 3x + 4x + 2 = (3x + 4x) + 2 = 7x + 2 [/tex]
[tex] 7x - 7 = 7(x) - 7(1) = 7(x - 1) [/tex]
[tex] x(6 + 9) = x(15) = 15x [/tex]
[tex] 2 + 9x + 1 + 3x = (9x + 3x) + (2 + 1) = 12x + 3 [/tex]
[tex] 4(x + 2) + x = 4x + 8 + x = 4x + x + 8 = 5x + 8 [/tex]
Determine whether each of the following products is rational or irrational.
Expression
Rational
Irrational
77-18
-7,49
5
2
./II
Answers
Answer:
-irrational
-rational
-rational
-irrational
__________________________________________________________quick and easy way is to see if the squares are perfect squares, like square root seven is irrational, so the answer is irrational. square root 9 is 3, which is rational, so its rational.
brainliest is appreciated :)
Can the two triangles be proven congruent by SAS? Explain.
A) No, there's only one pair of congruent angles, ∠B ≅ ∠D, and one pair of congruent sides, ≅ .
B) No, because the two triangles share a side.
C) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel.
D) Yes, because ≅ , ∠B ≅ ∠D, and and are parallel
Answers
Answer:
The correct option is;
Yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.
Step-by-step explanation:
Based on the the given information
The number of congruent sides = One which is AC is congruent to AC which is the reflexive property
The number of given congruent angles = One which is angle ∠ABC is congruent to ∠ADC
However, where angle ∠ABC is congruent to ∠ADC, we have AD is parallel to BC, therefore, ∠BAC is congruent to ∠DCB, and BA is parallel to CD, therefore AD is congruent to BC and DC is congruent to AB
Therefore the correct option is yes because AC ≅ AC, ∠B ≅ ∠D, and AD and BC are parallel.
SIMPLIFY.
(5c^2 + c) - (3c^2 + 11c)
Answers
Answer:2 c^2 - 10c
Step-by-step explanation:
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
26
Select all that apply.
O A. rational numbers
B. natural numbers
I c. irrational numbers
D. integers
E. whole numbers
OF. real numbers
Answers
Answer:
A
B
D
E
F
Step-by-step explanation:
26 can be also written as 26/1 or 52/2 or ...
so, it is part of the rational numbers.
it is clearly a natural number (1, 2, 3, 4, ...).
it is also an integer (... , -2, -1, 0, 1, 2, 3, ...).
it is a whole number (0, 1, 2, 3, 4, ...)
and it is a real number, as it can be written as 26.0. real numbers are the superset of all these mentioned sets of numbers.
but it is NOT an irrational number, as they have infinite digits after the decimal point without any repeating pattern.
in other words, any number that is a member of the rational numbers cannot be an irrational number. and vice versa.
answer choices:
A. 32%
B. 46%
C. 24%
D. 11%
Answers
What is 2/3 - (-2/3)?
A) 4/3
B) 4/3
C) 0
D) 2/3
Answers
Answer:
Option A, 4/3
Step-by-step explanation:
2/3-(-2/3)
= 2/3+2/3
= (2+2)/3
= 4/3
Explanation: 2/3 + 2/3 = 4/3
The closed form sum of
$$12 \left[ 1^2 \cdot 2 + 2^2 \cdot 3 + \ldots + n^2 (n+1) \right]$$
for $n \geq 1$ is $n(n+1)(n+2)(an+b).$ Find $an + b.$
Answers
Perhaps you know that
[tex]S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6[/tex]
and
[tex]S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4[/tex]
Then the problem is trivial, since
[tex]\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}[/tex]
Then
[tex]12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)[/tex]
so that a = 3 and b = 1.
Use the discriminant to determine the number of real solutions to the equation.
2n2+n=4
Answers
Answer:
Step-by-step explanation:
Hello,
[tex]2n^2+n-4=0\\\\\Delta=b^2-4ac=1^2-4*2*(-4)=1+32=33>0[/tex]
So there are 2 distinct real solutions.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
If p+1/p - 7 then find the value of p³+1/p³
Answers
Answer:
322
Step-by-step explanation:
We have,
a^3+b^3=(a+b)^3-3ab(a+b)
p+1/p=7
Now,
p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)
=7^3-3(7)=343-21=322
How do you do this TwT
Answers
Answer:
Step-by-step explanation:
First step plug the numbers into the equation.
-10/(5+2) = (-10/5) + (-10/2)
Solve both sides of the equation separately.
-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.
= -50 + (-20) = -70
-10/5 + -10/2 Multiply the fractions so they can be added together.
-10/5*2 = -20/10 -10/2*5 = -50/10
-20/10 + -50/10 = -70
Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.