Answer:
We have the equation:
(ax^2 + 3x + 2b) - (5x^2+bx-3c)= 3x^2 - 9
First, move all to the left side.
(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0
Now let's group togheter terms with the same power of x.
(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.
This must be zero for all the values of x, then the things inside each parenthesis must be zero.
1)
a - 5 - 3 = 0
a = 3 + 5 = 8.
2)
3 - b = 0
b = 3.
3)
2b + 3c + 9 = 0
2*3 + 3c + 9 = 0
3c = -6 - 9 = -15
c = -15/3 = -5
Then we have:
a = 8, b = 3, c = -5
a + b + c = 8 + 3 - 5 = 6
A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s
Answer: 7.07 m/s
Step-by-step explanation:
I took the quiz and that was the correct answer 5 is wrong
The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).
What is Proportionality?When two quantities have some dependence in their values they can be said proportional to each other.
It can be of two types such as direct and indirect.
The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.
Given that,
The present speed of the dog is 10 m/s.
Suppose the mass of the dog be m kg.
Since, the kinetic energy of an object is given as K = 1/2mv².
As per the question, the following expression can be written,
Initial energy, K₁ = 1/2m × 10²
= 50m
Final energy, K₂ = K₁/2
= 50m/2
= 25m
Using the expression for kinetic energy,
1/2mv² = 25m
=> v² = 50
=> v = √50
= 7.07
Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.
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Epicly epic epicness which is accounted to be epicly epic (36 points)
Answer:
epic
Step-by-step explanation:
Answer:
VERY EPIC
Step-by-step explanation:
2m=-6n-5
Solve for M
m= -3n -5/2
What is mathematical equation?
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.
In the given equation,
2m = −6n −5
Divide by 2 on both sides, we get
2m/2 = −6n/2 −5/2
m = -3n - 5/2
Therefore, our value of m is in terms of n, which is -3n - 5/2
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Please help! I’ll mark as BRAINLIEST :))
If a conditional statement is true and its converse is also true, could the conditional statement be written in another way?
Step-by-step explanation:
could the conditional statement be written in another way
the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches
Answer:
Step-by-step explanation:
two plus two plus four??
Answer:
8 lol
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Add from left to right 2+2=4 and then add 4+4 and you get 8
I will give BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
I think it is B :D
Step-by-step explanation:
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
The probability that a truck will be going over the speed limit on I-77 South between Dobson and Elkin is about 75%. Suppose a random sample of five trucks are observed on this stretch of I-77. a. Find the mean of this probability distribution. Show the formula and your work. b. Interpret the mean in the context of the problem. c. Find the standard deviation of this probability distribution. Round your answer to 2 decimal places. d. Find the probability that exactly 3 of the observed trucks are speeding. e. Find the probability that less than 3 of the observed trucks are speeding.
Answer:
Explained below.
Step-by-step explanation:
Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
The probability of X is, p = 0.75.
A random sample of n = 5 trucks are observed on this stretch of I-77.
The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.
(a)
Compute the mean as follows:
[tex]\mu=n\times p=5\times 0.75=3.75[/tex]
The mean of this probability distribution is 3.75.
(b)
The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.
(c)
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]
Thus, the standard deviation of this probability distribution is 0.97.
(d)
Compute the probability that exactly 3 of the observed trucks are speeding as follows:
[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]
Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.
(e)
Compute the probability that less than 3 of the observed trucks are speeding as follows:
[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]
Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.
Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
A rhombus has 4 equal sides.
What is the order of rotational symmetry for a rhombus?
1
2
3
4
Answer:
B. 2
Step-by-step explanation:
Got Correct On MyPath.
The order of rotational symmetry for a rhombus is 2.
What is Polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral.
In a rhombus, opposite sides are parallel and the opposite angles are equal.
All the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles
Rotational Symmetry of a Rhombus has four equal sides but of varying angles.
A rhombus has two lines of symmetry (vertical and horizontal), an order of two, and the angle of rotation of 180 degrees
Hence, the order of rotational symmetry for a rhombus is 2.
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Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.
Multiply the amount of book Robin read by 1/2.
3/4 x 1/2 = 3/8
Mark read 3/8 of the book.
Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, but I would show you how to answer a similar question.
We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.
From the image attached, we can see the lengths of the sides, hence we can find the values of x.
[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]
2x+b=w,for x i need to know what this answer is
Answer:
Let's take this step by step:
2x+b=w
2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)
2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)
2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)
x=w-b/2
Step-by-step explanation:
A straight angle measures (5x - 50) degrees. What is the value of x?
Answer:
26
Step-by-step explanation:
180-50=130
130/5=26
I believe.
2 + 29m - 9m - 5 =
HELP
Answer:
20m-3
Step-by-step explanation: hope that helps :)
2+29m−9m−5
=2+29m+−9m+−5
Combine Like Terms:
=2+29m+−9m+−5
=(29m+−9m)+(2+−5)
=20m+−3
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was times the amount spent per bird. Find the average amount spent on each type of animal.
The question is incomplete:
The sum of the average amounts spent for veterinary expenses for dogs, cats, and birds in a recent year was $293 The average expenditure per dog exceeded the sum of the averages for cats and birds by $113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.
Answer:
The average amount spent in dogs is $203, in cats is $81 and in birds is $9.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y+z=293 (1)
x-y-z=113 (2)
y=9z (3)
You can replace (3) in (1) and (2):
x+9z+z=293
x+10z=293 (4)
x-9z-z=113
x-10z=113 (5)
Now, you have the following equations:
x+10z=293 (4)
x-10z=113 (5)
Then, you can isolate x in (4):
x=293-10z (6)
Next, you can replace (6) in (5):
293-10z-10z=113
293-20z=113
293-113=20z
180=20z
z=180/20
z=9
Now, you can replace the value of z in (6) to find x:
x=293-10z
x=293-10(9)
x=293-90
x=203
Finally, you can replace the value z in (3) to find y:
y=9*(9)
y=81
According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.
To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?
Group of answer choices
The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.
Given :
Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.
To Find :
If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.
Solution :
Let, Ginger makes x pitchers of power smoothies :
[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]
Now, it is given that Ginger makes 6 pitchers of power smoothies.
Total scoops are :
[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]
Therefore, number of scoops Ginger used is 84.
Hence, this is the required solution.
Given that m=r-s/2nr
Make r the subject .
PLEASE I NEED IT NOW.
THANK YOU . WHOEVER ANSWERS FIRST I WILL GIVE A FOLLOW AND BRAINLIEST
Step-by-step explanation:
[tex]m = \frac{r - s}{2nr} [/tex]
m(2nr) = r-s
2×n×r×m = r-s
move the r on the right side to the left side
2nrm - r = -s
r ( 2nm - 1 ) = -s
[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]
Answer:
I think it will help you
What is the slope of the following equation?
Answer: 2-
Step-by-step explanation:
Raja is depositing checks he received and filling out a deposit slip. The two checks he is depositing are for the amounts of $45.92 and $5.78. If he wanted to withdraw $20 at the same time, what amount should be written on the line highlighted by the green arrow?
Answer:
$31.70
Step-by-step explanation:
aPExAl saves pennies. He agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani. Bev, Carl, and Dani agreed and Dani received pennies. How many pennies did Al have initially
Answer:
2744
Step-by-step explanation:
Let Al had x pennies initially.
Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.
So, as per the given condition,
The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]
The number of Pennies received by Carl from Bev
[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]
The number of Pennies received by Dani from Carl
[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]
Now, as Dani received 216 Pennies, so
[tex]\frac{27}{343} x =216[/tex]
[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]
Hence, initially, Al had 2744 Pennies.
ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.
Answer:
nothing at all.
Step-by-step explanation:
need help asapp I'll brainlist u once u finish !!
Answer:
-3*-6*2^2+1
18*4+1
72+1
73
Step-by-step explanation:
2(5*-6*2-3)
2(-30*-1).
2*30
60
4*-6^2*2+2/10
4*36*2+2/10
4*72+2/10
288+2/10
290/10
29
9(-6-2^2)/6
9(-6-4)/6
9*10/6
90/6
15
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?
Answer:
$243.17
Step-by-step explanation:
X+(X*5.25/100)=255.94
Make x the subject
X=243.17
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
If a number has no pulse or minus sign, does that mean it’s usually a positive or negative number?
Answer:
positive
Step-by-step explanation:
Answer:
It means it is usually positive
Step-by-step explanation:
The positive sign is invisible if it is at the beginning of an equation number, if it is moved to the other side of the equal sign, than it turns the opposite charge. Hope this answers your question :)
A woman standing on a large rock at the edge of a lake is getting ready to swing from a rope that is tied to a branch that hangs over the water. The length of the rope the woman is holding is 7.3 m long. The woman hopes to land in the water at a point that is 13.7 m away from where she stands on the large rock. The angle between the point where the rope is tied and her landing spot in the water is 89°. What is the distance between the the point where the rope is tied and the point where she wants to land to the nearest tenth of a metre.
Answer:
6.4 m
Step-by-step explanation:
The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.
Note that the woman used the rope to move down in
Applying the cosine rule;
[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]
[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]
[tex]c^{2} = 6.4 m[/tex]
h e l p
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
4:9 is the ratio
Step-by-step explanation:
4 in Texas and 9 in Michigan