Answer:
the third one is correct
Answer:
Step-by-step explanation:
dlklf,vkvkdcñclcdliffoFind an equation of the line through the given points right the final answer in intercept form
Answer:
got it
Step-by-step explanation:
A boy weighing blank kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is blank joules.
Answer:
His kinetic energy at the faster speed is 160 J
Step-by-step explanation:
Here in this question, we are interested in calculating the kinetic energy at the faster speed.
Firstly, we need to know the mass of the boy’s body. We can do this by using the kinetic energy formula;
Mathematically;
K.E = 1/2 * m * v^2
From the question;
K.E = 40 Joules
m = ?
v = speed = 2 m/s
Now, plugging these values into the kinetic energy equation, we have;
40 = 1/2 * m * 2^2
40 = 1/2 * m * 4
40 = 4m/2
4m = 40 * 2
4m = 80
m = 80/4
m = 20 kg
Now that we know the mass of the boy’s body, we can proceed to calculate the new K.E
Let’s follow the third statement in the question;
We were told that he doubles his speed upon sighting his friend.
Recall, he was traveling at a speed of 2 m/s.
Now doubling this means the new speed will
be 2 * 2 = 4 m/s
Now, we want to calculate the kinetic energy value at this new speed.
Mathematically, we use the same formula for kinetic energy.
K.E = 1/2 * m * v^2
We know that m is the mass that we calculated as 20kg and our v here is 4 m/s
Plugging these values, we have;
K.E = 1/2 * 20 * 4^2
K.E = (20 * 16)/2
K.E = 320/2
K.E = 160 J
Answer:
A boy weighing 20 kilograms is riding a skateboard. He’s moving at 2 meters/second and has 40 joules of kinetic energy. He doubles his speed when he sees his friends ahead of him. His kinetic energy at the faster speed is 160 joules.
What is the exponential form of log9 5 = y
Answer:
y = 0.732
Step-by-step explanation:
log3²(5) = y
(1/2) × log3(5) = y
y = (1/2) × log3(5)
y = 0.732487
y = 0.732 ( 3 sig.fig )
Two co-interior angles
formed between the
two parallel lines are in the ratio of 11.7.
Find the measures
of angles
Answer:
110° and 70°
Step-by-step explanation:
The angles are supplementary, thus sum to 180°
sum the parts of the ratio, 11 + 7 = 18
divide 180° by 18 to find the value of one part of the ratio
180° ÷ 18 = 10° ← value of 1 part of the ratio
Thus
11 parts = 11× 10° = 110°
7 parts = 7 × 10° = 70°
The angles are 110° and 70°
what is the area of the kite ? PLEASE HELP BEING TIMED
Answer:
7 * 4 / 2 = 28/2 = 14
Step-by-step explanation:
You are timed. I will just give you the formula where its multiplying the Diagonals and dividing by 2.
x= -4 w= 1 z= -3 y= 5
This is the answer!
Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф
Answer:
a) From A ∩ A' = ∅, we have;
A ∩ (A' ∪ B) = A ∩ B
b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;
A ∩ (A ∪ B)' = ∅
Step-by-step explanation:
a) By distributive law of sets, we have;
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
From the complementary law of sets, we have;
A ∩ A' = ∅
Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have
A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)
A ∩ A' = ∅ (complementary law of sets)
Therefore;
(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B) = (A ∩ B) (Addition to zero identity property)
∴ A ∩ (A' ∪ B) = A ∩ B
b) By De Morgan's law
(A ∪ B)' = A' ∩ B'
Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')
By associative law of sets, we have;
A ∩ (A' ∩ B') = (A ∩ A') ∩ B'
A ∩ A' = ∅ (complementary law of sets)
Therefore, (A ∩ A') ∩ B' = ∅ ∩ B' = ∅
Which gives;
A ∩ (A ∪ B)' = ∅.
Derek can paddle his kayak 6 miles per hour in still water. It takes him as long to paddle 10.5 miles upstream as it takes him to travel 31.5 miles downstream. Determine the speed of the river's current.
Answer:
3 mph
Step-by-step explanation:
Let the speed of the river's current be x
Upstream (against the river's current)
Resultant velocity = 6 - x
Distance covered = (6-x)t
10.5 = (6-x)t
t = 10.5/(6-x)
Downstream (with the river's current)
Resultant velocity = 6+x
Distance covered = (6+x)t
t = 31.5/(6+x)
Therefore.......
10.5/(6-x) = 31.5/(6+x)
10.5(6+x) = 31.5(6-x)
63 + 10.5x = 189 - 31.5x
Collect like terms
42x = 126
x = 3 miles per hour
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
can someone help on this question
Answer:
a) 3 x 20 = 60
b) -2x20 = -40
question c and d are unclear as we do not know how many questions were wrong and how many were not answered.
Sorry but I hope that helped
Answer:
a) 60 points
b) 0 point
c) 22 points
d) -11 points
Step-by-step explanation:
a) 20 * 3 = 60 points (all answered correct)
b) 0 point (Minimum score if you don't answer any of the questions)
c) 10 * 3 = 30 points
(14 - 10) * -2 = -8 points
right minus wrong = 30 - 8 = 22 points
d) 5 * 3 = 15 points
(18 - 5) * -2 = -26 points
right minus wrong = 15 - 26 = -11 points
C. Write an equation for the situation.
2. The equation y = 7x gives the cost y of x pounds of chicken at the grocery store. Complete the table for the given weights of chicken
Equation representing the relation between the cost and the weight of the chicken has been given as,
y = 7xHere, y = cost of the chicken
x = weight of the chicken
By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).
For x = 1,
y = 7×1
y = 7
For x = 2,
y = 7×2
y = 14
For x = 3,
y = 7×3
y = 21
For x = 8,
y = 7×8
y = 56
Therefore, the complete table will be,
Weight (lb),x 1 2 3 8
Cost ($),y 7 14 21 56
Learn more about the proportional relation,
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please help me on this
56
a = 18
18 and 43 is 124
180 minus 124 is 56
Events A and B are mutually exclusive. Find the missing probability.
P(A) = 1/4 P(B) = 13/20 P(A or B) = ?
4/5
1/2
9/10
3/8
Answer:
Option C.
Step-by-step explanation:
It is given that,
[tex]P(A)=\dfrac{1}{4}[/tex]
[tex]P(B)=\dfrac{13}{20}[/tex]
It is given that events A and B are mutually exclusive. It means they have no common elements.
[tex]P(A\cap B)=0[/tex]
We know that,
[tex]P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
On substituting the values, we get
[tex]P(A\cup B)=\dfrac{1}{4}+\dfrac{13}{20}-0[/tex]
[tex]P(A\cup B)=\dfrac{5+13}{20}[/tex]
[tex]P(A\cup B)=\dfrac{18}{20}[/tex]
[tex]P(A\cup B)=\dfrac{9}{10}[/tex]
Therefore, the correct option is C.
The P (A or B) should be [tex]\frac{9}{10}[/tex]
Given that,
P(A) = 1 by 4 P(B) = 13 by 20Based on the above information, the calculation is as follows:
[tex]= \frac{1}{4} + \frac{13}{20}\\\\= \frac{5+13}{20} \\\\= \frac{18}{20}\\\\= \frac{9}{10}[/tex]
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PLEASE HELP ASAP!!
The image above shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
[tex] IJ = 2(KL) [/tex]
Step-by-step explanation:
From the information given, the smaller figure was dilated on a scale factor of 2, to produce the bigger figure. In essence, the bigger figure is times 2 of the smaller figure.
Therefore, line IJ would be twice the length of KL.
The relationship that both lines have can be represented as: [tex] IJ = 2(KL) [/tex]
Pls Help, Thanks
According to the partial construction shown, what is the next step in constructing a line perpendicular to a point on the line?
Place compass at point D, and draw an arc that intersects the arc above line DF.
Place compass at point F, and draw an arc that intersects the arc above line DF.
Place compass at point P, and draw an arc above line DF
Place compass at point P, and draw an arc below line DF
Step-by-step explanation:
First draw a lign segment like DF
Next keep the point on D make an arc by increasing the length of compass
As same keep the point on F make an arc lile same as before
Next there is apoint name it as any meeting on drew arc
connect it to the point with P
What is the value of "c" in the quadratic equation 3x^2 + 5x + 7 = 0?
Answer:
c = 7
Step-by-step explanation:
ax^2 + bx + c = 0
3x^2 + 5x + 7 = 0
c = 7
Two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in Figure 1. The distance from W to H is 45 inches. Then the same two tiles are rearranged at the top and at the base of the door frame, as shown in Figure 2. The distance from Y to Z is 37 inches. What is the height of the door frame, in inches?
Answer:
41 inches
Step-by-step explanation:
Let the point at the top of the door on the left be x
Wx + xH = 45
Let the point at the top of the door on the right be c
Yc + cZ = 37
We know the door is
xH + plus the width of the tile
The width of the tile is Yc
xH + Yc
On the right door
cZ + the height of the tile
cZ + Wx
Add the two doors together
xH + Yc + cZ + Wx = 2 times the height of the door
Rewriting
xH + Wx + Yc + cZ = 2 times the height of the door
45+ 37 = 2 times the door height
82 = 2 times the door height
Divide by 2
41 = door height
If you buy 12 pounds of lettuce for $96 what is the rate which one pound of lettuce costs
Answer:
$8
Step-by-step explanation:
$96 divided by 12
How many triangles???????
Based on the diagram, there are 8 triangles in total
TrianglesA triangle is a polygon with three sides and three angles.
Types of trianglesEquilateral triangle: The three sides and angles are equal.Isosceles triangle: It has two equal sides and two angles.Scalene triangle: No side and angle is equal.Therefore, there are 8 triangles in the diagram.
Learn more about triangles:
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help please! how do I calculate the coordinates of point a so that at is an altitude?
Part (a)
Since we want segment AT to be an altitude, this means that point A is somewhere on segment RI such that angle TAI is 90 degrees. In other words, segments AT and RI are perpendicular. Check out the diagram below.
We'll need to find the slope of line RI, so we'll need the slope formula
R = (x1,y1) = (-2,-2)
I = (x2,y2) = (4,1)
m = slope of line RI
m = (y2-y1)/(x2-x1)
m = (1-(-2))/(4-(-2))
m = (1+2)/(4+2)
m = 3/6
m = 1/2
m = 0.5
The slope of line RI is 1/2 or 0.5
Now let's use point R(-2,-2) along with that slope we just found to find the equation of line RI.
Turn to point slope form
y - y1 = m(x - x1)
y - (-2) = 0.5(x -(-2))
y + 2 = 0.5(x + 2)
y + 2 = 0.5x + 1
y = 0.5x + 1 - 2
y = 0.5x - 1
This is the equation of line RI. We'll use it later.
----------
We found that the slope of line RI was 1/2.
The negative reciprocal involves us flipping the fraction and flipping the sign to get -2/1 or simply -2.
The perpendicular slope is -2. This is the slope of altitude AT.
We want line AT to go through T(-2,4), so we'll use this point along with the perpendicular slope we just found to calculate the equation of line AT.
We'll turn to the point slope form
y - y1 = m(x - x1)
y - 4 = -2(x - (-2))
y - 4 = -2(x + 2)
y - 4 = -2x - 4
y = -2x - 4 + 4
y = -2x
The equation of the line that goes through points A and T is y = -2x.
----------
To summarize so far, we have these two equations
y = 0.5x - 1 .... equation of line RIy = -2x .... equation of line ATApply substitution to solve for (x,y) to find the intersection point. This will determine where point A is located.
y = 0.5x - 1
-2x = 0.5x - 1
-2x-0.5x = -1
-2.5x = -1
x = -1/(-2.5)
x = 0.4
Then we can determine y like so
y = -2x
y = -2(0.4)
y = -0.8
Therefore, point A is located at (0.4, -0.8). Both coordinate values are exact. In fraction form, we can say that the point is (2/5, -4/5), but I find decimals easier to work with in this instance.
Answer: (0.4, -0.8)===============================================================
Part (b)
To find the length of segment AT, we can find the distance from A to T. As you can probably guess, we'll use the distance formula.
A = (x1,y1) = (0.4, -0.8) ... found back in part (a)
T = (x2,y2) = (-2, 4) ... given
[tex]d = \sqrt{ (x_2-x_1)^2+(y_2-y_1)^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 - (-0.8))^2 }\\\\d = \sqrt{ (-2-0.4)^2+(4 + 0.8)^2 }\\\\d = \sqrt{ (-2.4)^2+(4.8)^2 }\\\\d = \sqrt{ 5.76+23.04 }\\\\d = \sqrt{ 28.8 }\\\\d \approx 5.36656\\\\d \approx 5.37\\\\[/tex]
The distance from point A to point T is approximately 5.37 units. This means that segment AT is roughly 5.37 units long.
Answer: 5.37 unitsA school library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payment is made. Jada and Juan each had a book that was overdue. Juan returned his book on the 5th day it was overdue. Jada paid a fine that was $2.40 more than Juan’s fine.
Which statement about the overdue books is true?
Jada’s book was overdue by 1 more day than Juan’s book.
Jada’s book was overdue by 2 more days than Juan’s book.
Jada’s book was overdue by 24 more days than Juan’s book.
Jada’s book was overdue by 48 more days than Juan’s book.
Answer:
Jada's book was overdue by 1 more day than Juan's book.
...................
Answer:its A
Step-by-step explanation:
i took the quiz
Find the following ratios. PLEASE HELP QUICK!!
Answer:
sin(A) = 5/13 ≈ 0.38
cos(B) = 5/13 ≈ 0.38
tan(A) = 5/12 ≈ 0.42
Step-by-step explanation:
If you need more explanations just say it :)
Answer:
I hope your dreams come true! Beileve in your self! and do ur best <3
A prisoner is trapped in a cell containing 3 doors. The first door leads to a tunnelthat returns him to his cell after 2 days’ travel. The second leads to a tunnel thatreturns him to his cell after 4 day’s travel. The third door leads to freedom after 1day of travel. If it is assumed that the prisoner will always select doors 1,2,and 3with respective probabilities 0.5,0.3, and 0.2, what is the expected number of daysuntil the prisoner reaches freedom?
Answer:
2 days
Step-by-step explanation:
Expected number of days until prisoner reaches freedom=E(x)=?
E(x)=x*p(x)
Where x is the number of days and p(x) is the probability associated with them.
X 1 2 3
P(x) 0.5 0.3 0.2
E(x)=1*0.5+2*0.3+3*0.2
E(x)=0.5+0.6+0.6
E(x)=1.7.
Thus, the expected number of days until prisoner reaches freedom are 2 days.
subtact (7x+2) from (-6x+8)
(-6x+8)-(7x+2)
4 -6x + 8 -7x - 2
= -13x + 6
Answer:
Step-by-step explanation:
(-6x + 8) - (7x + 2) = -6x + 8 - 7x - 2 {Distribute property}
= (-6x - 7x) +( 8 - 2) {Combine like terms}
= -13x + 6
Evaluate the function,
f (x) = 5 - 4x for f(-2)
Answer:
f(-2)=13
Step-by-step explanation:
We are given the function:
f(x)= 5-4x
and asked to evaluate f(-2). We want to find what f(x) is when x is equal to -2.
We must substitute -2 in for each x.
f(-2)= 5 - 4(-2)
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
First, multiply 4 and -2.
⇒ 4 * -2 = -8
f(-2) = 5 - -8
Two negative signs in a row become a positive sign.
f(-2)= 5+8
Finally, add 5 and 8.
f(-2)= 13
The function f(x)= 5-4x evaluated for f(-2) is 13.
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is 20 units, write a pair of linear equations to model the above situation, assuming the length to be l units and the breadth to be b units.
Answer:
L=7 units and B=3 units
Step-by-step explanation:
L=B+4 ... Equation 1
P = 20
P=2(B+L)... Equation 2
20=2(B+B+4)... Substituting equation 1 to equation 2
20=2(2B+4)
20=4B+8
20-8=4B
12=4B
12/4=4B/4
B=3... Solve for B
L=B+4
L=3+4
L=7... Solve for L
These prisms are similar. Find the surface
area of the larger prism. Round to the
nearest tenth.
5 in.
Surface Area = 572 m2 Surface Area = [ ? ] m2
6 in.
Answer:
823.7 m^2
Step-by-step explanation:
The ratio of the side lengths is 6/5.
The ratio of the areas is the square of the ratio of the side lengths, 36/25.
572 m^2 * 36/25 = 823.7 m^2
True or false: f(x) is a function.
0
0
3
1
3
9
f(x)
Answer:
true
Step-by-step explanation:
it is true because there is one input for y output
Answer:
True
Step-by-step explanation:
This is a function. Each value of x goes to only one value of y
please help! i can’t write the equation on here so look at the picture.
Answer:
So if x= 1 , y= -20 , z = -5 , we just have to replace those values on the equation
[tex]\frac{\sqrt{yz}}{(z-x)^{2} + y } =[/tex] [tex]\frac{\sqrt{(-20) * (-5)}}{(-5-1)^{2} + (-20) } =[/tex] [tex]\frac{\sqrt{100}}{(-6)^{2} -20 }[/tex] [tex]= \frac{10}{16} =\frac{5}{8}[/tex]
Answer:
√100 / {-5-1}^² +(-20)10/(-6)^² -2010/36-2010/165/8HELPPPP MEE IM BEING TIMED
Answer:
4th option
Step-by-step explanation:
The range is the values of y covered by the graph
The lowest value is a solid dot at y = 2, indicating that y can equal 2.
The graph then increases upwards to infinity.
The range is all real numbers greater than or equal to 2
Answer:
all real numbers greater than or equal to 2
Step-by-step explanation:
The range is all the y-values or outputs. That means that the answer is greater than or equal to 2.
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
ху
1 | 20
3 | 10
5 | 0
7 | -10
A. Initial value: 20, rate of change: 10
B. Initial value: 30, rate of change: 10
C. Initial value: 25, rate of change: -5
D. Initial value: 20, rate of change: -10
Answer:
C, at 0/25, 1/20, 2/15, 3/10,...
Answer:
C
Step-by-step explanation:
4x + 7 + 4
I need helppp pls
Answer:
4x+11
Step-by-step explanation:
you have to add the like terms,in this case the like terms are 7 and 4.4x isn't a like term cause it has a variable.
so you just have to add 7+4
4x+11
I hope this helps
Step-by-step explanation:
hope this may help you tq