Answer:
[tex]y=\frac{3}{2}x+4[/tex]
Step-by-step explanation:
So the line C equation is [tex]y=\frac{3}{2}x+2[/tex] and line D is parallel to it and it passes through the point (4,10) and we need to ding the equation for line D.
So first we have a graph with line C listed and (4,10).
And we can keep listing more equations till we find the right one which is [tex]y=\frac{3}{2}x+4[/tex].
So I got this by knowing that in parrelel lines the slope is the same but the y intercept changes which is why it was fast to find the answer.
Answer:
y = 3/2x +4
Step-by-step explanation:
The given line is in slope-intercept form.
y = mx + b
Comparing this form to your equation, we see ...
m = 3/2 . . . . . . the slope of the given line
__
When you know the slope and a point on the line, it is convenient to use a point-slope form of the equation of a line to start with.
y = m(x -h) +k . . . . line with slope m through point (h, k)
The slope of your parallel line is the same as the slope of the given line. So the required parameters are ...
m = 3/2, (h, k) = (4, 10)
Putting those into the form, we have ...
y = (3/2)(x -4) +10
Simplifying puts this in the required slope-intercept form.
y = 3/2x +4
Write these numbers in standard form.
a)
250 000
b)
81 000
C)
906 000 000
d)
10340 000 000
Answer:
a)250,000
2.5×10^5
b)81,000
8.1×10^4
c)906,000,000
=9.06×10^8
d)10340,000,000
=1.034×10^10
i hope this will help you :)
Two fair dice are rolled 3 times and the sums of the numbers that come up is recorded. Find the probability of these events. A) the sum 10 on each of the three rolls? B) the sum is 10 exactly twice in three rolls?
Answer:
A) P(10 on three rolls) = 1/1728 = 0.0005787
B) P(10 in two of three rolls) = 11/1728 = 0.0063657
Step-by-step explanation:
Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.
To find a sum of 10, the cases are:
(4,6), (5,5) and (6,4).
So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:
P(10) = 3/36 = 1/12
A)
If we want the sum of 10 in each of the three rolls, the probability is:
P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787
B)
If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:
P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12
So we have:
P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)
P(10 in two of three rolls) = 11/1728 = 0.0063657
8x – 2 – 5x + 7 = infinitely many solutions
Answer:
3x+5
Step-by-step explanation:
Collecting like terms.
8x-2-5x+7
8x-5x-2+7
3x+5
Answer:
8x - 2 - 5x + 7 =3x+5
Step-by-step explanation:
8x - 2 - 5x + 7
Combine like terms
3x + 5
For an equation to have infinitely many solutions, x must have no impact on the equation. Thus it must be:
3x+5=3x+5
I think this is what you mean?
Please answer this question fast in 2 minutes
Answer:
i believe it would be (10,4)
Step-by-step explanation:
i did this by finding the rise and run from point C and point M. Then, i repeated it in the opposite direction to get point B.
I did this on a graph by the way so I don't know if it really makes any sense since you are not dealing with a graph, but it should still be right.
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.
Answer:
k = 77/10
Step-by-step explanation:
The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.
probability of blue marbles = 2/7
probability of red marbles = 3/k
probability of green marbles = 5/2k
The sum of the individual probability is equals to 1. Therefore,
2/7 + 3/k + 5/2k = 1
collect like terms
(6 + 5)/2k = 1 - 2/7
11/2k =(7 - 2) /7
11/2k = 5/7
cross multiply
10k = 77
divide both sides by 10
k = 77/10
PLEASE HELP ASAP WITH MATH
Answer:
t =5
g = 15
Step-by-step explanation:
t = tennis balls
g = golf balls
70 = 5t+3g
85 = 2t+5g
Multiply the first equation by -2
-2(70 = 5t+3g)
-140 = -10t -6g
Multiply the second equation by 5
5(85 = 2t+5g)
425 = 10t + 25g
Add these new equation together to eliminate t
-140 = -10t -6g
425 = 10t + 25g
-------------------------------
285=0t+19g
Divide by 19
285/19 = g
15 = g
Now find t
85 = 2t+5g
85 = 2t +5(15)
85 = 2t + 75
10= 2t
t =5
Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.
5x + 3y = 70
2x + 5y = 85
(5x + 3y) x 2 = 70 x 2
10x + 6y = 140
(2x + 5y) x 5 = 85 x 5
10x + 25y = 425
10x + 25y -10x - 6y = 425 - 140
19y = 285
y = 15
2x + 5y = 85
2x + 75 = 85
2x = 10
x = 5
Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.
f(x)=x^3-2x^2-11x+12 r theorem to find the x-intercepts of the function, and plot their x-values on the number line.
Answer:
x intercepts are : (1,0)(4,0),(-3,0)
Step-by-step explanation:
x intercepts are : (1,0)(4,0),(-3,0)
plot only the x values
hope it helps
Which statement correctly compares the shape of the data in the plots?
Both sets of data have a peak at 5 hours and 6 hours.
The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
In both sets, the data cluster around 3 hours.
There is a gap in the fifth-grade data, but not in the seventh-grade data.
Answer:
I think its B: The left side of the data looks similar to the right side in the seventh-grade data, but not in the fifth-grade data.
Step-by-step explanation:
edg2020
You are getting on an elevator that is already filled with several people. You wonder if your weight will put the elevator over the maximum weight limit. You know that your weight is 132 pounds. In the equation below, p is the weight of all the people already on the elevator, and t is the total weight inside the elevator after you get on. The relationship between these two variables can be expressed by the following equation: t=p+132. What is the dependent variable?
A.The total weight inside the elevator after you get on.
B.The weight of all the people already on the elevator.
Answer:
A
Step-by-step explanation:
T is the dependent variable
a dependent variable means it depends on something so if a number changes it will change the end result for T.
T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.
Answer:
They are both dependent variables.
Step-by-step explanation:
I did this on Khan Academy and it worked.
Car color preferences change over the years and according to the particular model that the customer selects. In a recent year, 20% of all luxury cars sold were white. Assume that 25 cars of that year and type are randomly selected. Define X to be the number of these cars that are white. What is the probability that exactly six of these cars are white?
Answer:
Step-by-step explanation:
Let x be defined as a random variable representing the number of these cars that are white. This is a binomial distribution since the outcomes are two ways. It is either a selected car of that year and type is white or not. The success would be that the selected car is white. The probability of success, p = 20/100 = 0.2
The probability of failure, q would be 1 - p = 1 - 0.2 = 0.8
Given the number of selected cars, n is 25 and number of success, x is 6, we would determine P(x = 6)
From the binomial probability calculator,
P(x = 6) = 0.16
I need help!!!
Use the rational zero theorem, which of the following could not be a rational zero of: 6x^5+ax^3=bx+12? 1/2 -3/4 -2
Answer: x = -3/4 can not be a rational zero of the polynomial.
Step-by-step explanation:
We have the polynomial:
6x^5 + ax^3 -bx -12 = 0.
The theorem says that:
If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).
The factors of -12 (different than itself) are (independent of the sign).
1, 2, 3, 4 and 6.
So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.
The factors of 6 are:
1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.
Then the option that can not be a zero of the polynomial is
x = -3/4
because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.
A skateboard ramp has a slope of 5/6. What is the measure of the angle the ramp forms with the ground to the nearest degree
Answer:
39.8°
Step-by-step explanation:
We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:
tan∅ = 5/6
∅ = tan⁻¹(5/6)
∅ = 39.8056
PLEASE HELP ME, IVE BEEN STUCK ON THIS QUESTION FOR AWHILE NOW
Answer: i think its c
Step-by-step explanation:
WILL GIVE BRAINLIEST. PLEASE HELP. In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle. True or false?
Answer:
True
Step-by-step explanation:
In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.
Examine the diagram and information to answer the question. Square ABCD has vertices at A(−2,1), B(2,7), C(8,3), and D(4,−3). How many units is the perimeter of square ABCD?
Answer:
Option (1)
Step-by-step explanation:
Coordinates of the vertices are A(-2, 1), B(2, 7), C(8, 3) and D(4, -3)
Since ABCD is a square,
Perimeter of a square = 4 × (length of a side)
= 4 × (AB)
Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Therefore, distance between two points A(-2, 1) and B(2, 7) will be,
AB = [tex]\sqrt{(2+2)^2+(7-1)^2}[/tex]
AB = [tex]\sqrt{4^2+6^2}[/tex]
AB = [tex]\sqrt{52}[/tex]
AB = [tex]2\sqrt{13}[/tex]
Now area of square ABCD = 4 × [tex]2\sqrt{13}[/tex]
= [tex]8\sqrt{13}[/tex] unit
Therefore, option (1) will be the answer.
Enter values to complete the table below.
Answer: The answers are in the steps
Step-by-step explanation:
x y value of y/x
-3 -3 1
1 1 1
3 3 1
Help please, thanks if you do
Rectangle BBB is shown below. Nadia drew a scaled version of Rectangle BBB using a scale factor of \dfrac15
5
1
start fraction, 1, divided by, 5, end fraction and labeled it Rectangle CCC.
Answer:
2
Step-by-step explanation:
5 / 1/5 and 10 / 1/5
Answer:
The answer is 2
Step-by-step explanation:
Find the median of the distribution
Frequences
Mark
0,1,2,3,4,5
Answer:
2.5
Step-by-step explanation:
The median is the middle value of the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle.
0 , 1 , 2 , 3 , 4 , 5
↑ middle of data
Thus median = [tex]\frac{2+3}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5
The cheerleading squad received 1/4 of the total sales of foam fingers and pom poms at a pep rally the squad received a total of $136.75 what was the value of the pom pom sales
Answer:
102.56
Step-by-step explanation:
136.75 - 25% = 102.56
25% of 136.75 = 34.19
Answer:
102.56
Step-by-step explanation:
because I did this in class and the answer was that
136.75-25% = 102.56
6÷3/4 .............
Answer:
8Step-by-step explanation:
[tex]6 \div \frac{3}{4} [/tex]
To divide by a fraction, multiply by the reciprocal of that fraction
[tex]6 \times \frac{4}{3} [/tex]
Reduce the numbers with GCF 3
[tex]2 \times 4[/tex]
Multiply the numbers
[tex]8[/tex]
Hope this helps..
good luck on your assignment..
How many solutions exist for this system of equations y=x-3 y=x^2-6x+10
A. 0
B. 1
C. 2
D. Infinite
Answer:
0
Step-by-step explanation:
This is urgent! It would really be helpful if you could help me:) Please and thank you!
Answer:
the answer would be a
Step-by-step explanation:
I need 1 and 2 can someone please help me I really need help please help me thank you
Answer:
1. [tex]\dfrac{2y^3}{3}[/tex]
2. 9,765,625
Step-by-step explanation:
The relevant exponent laws are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
1)
[tex]\dfrac{3x^3y^5\cdot 8xy^4}{(6x^2y^3)^2}=\dfrac{(3\cdot 8)x^{(3+1)}y^{5+4}}{6^2x^4y^6}=\dfrac{2}{3}x^{4-4}y^{9-6}=\boxed{\dfrac{2y^3}{3}}[/tex]
__
2)
[tex]5^3\div 5\cdot(5^2)^4=5^3\cdot 5^{-1}\cdot 5^8=5^{3-1+8}\\\\=5^{10}=\boxed{9\,765\,625}[/tex]
Please answer this question now in two minutes
Answer:
Step-by-step explanation:
m=[tex](5,\frac{25}{4} )[/tex]
midpoint line between A and B
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
A hippopotamus can hold its breath for about 15 minutes. It can hold its breath 5 minutes longer than a sea otter. Use an equation to find how long a sea otter can hold its breath. A. 5 minutes B. 10 minutes C. 15 minutes D. 20 minutes
Answer:
B. 10 minutes
Step-by-step explanation:
Let x represent the number of minutes that a sea otter can hold its breath. A hippopotamus can hold its breath for 5 minutes longer than x. So, the equation would be:
x + 5 = 15
Subtract 5 from both sides.
x + 5 = 15
x + 5 - 5 = 15 - 5
x = 10
A sea otter can hold its breath for 10 minutes.
Hope that helps.
What is the slope of the line described by the equation y + 1 = -3x?
Answer:
There you go mate!
Step-by-step explanation:
Diana serves 8 kg of fried rice for 12 persons. How many persons can eat 20 kg of
fried rice?
Answer:
30 persons
Step-by-step explanation:
Let's create a proportion using the following setup:
persons/rice=persons/rice
We know that 12 persons can eat 8 kilograms of fried rice.
12 persons/ 8 kg of rice= persons/rice
We also know that x (unknown) persons can eat 20 kilograms of fried rice.
12 persons/ 8 kg of rice= x persons/ 20 kg of rice
12/8=x/20
x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.
20(12/8)=(x/20)20
20*12/8=x
20*1.5=x
30=x
30 persons can eat 20 kilograms of fried rice.
Answer:
30 people
Step-by-step explanation:
1) Set up a proportion, 8kg/12 = 20kg/x
2) Do cross multiplication to solve for x
3) x = 30 people
help i will give brainliest
Answer:
93°Step-by-step explanation:
[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]
PLEASE HELP ME I REALLY NEED HELP PLEASEEEE
If a circle has an area of 12πcm² and a diameter line AB, what is the length of arc AB?
A. √3π cm
B. 3π cm
C. 2√3π cm
D. 6π cm
E. 4√3π cm
Answer:
option D
Step-by-step explanation: