Answer:
Step-by-step explanation:A)13 miles in feet = 68640 feet
we now need to get the number of cars, we use division to get groups
68640 / 15 = 4576.
we now see there are 4576 cars in the traffic jam.
B)Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would not be able to fit in a 13 mile stretch if those cars were any longer.
3x² + 2x² +4= -6x
no math apps please
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x^2+2*x^2+4-(-6*x)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(((3 • (x2)) + 2x2) + 4) - -6x = 0
STEP
2
:
Equation at the end of step
2
:
((3x2 + 2x2) + 4) - -6x = 0
STEP
3
:
Trying to factor by splitting the middle term
3.1 Factoring 5x2+6x+4
The first term is, 5x2 its coefficient is 5 .
The middle term is, +6x its coefficient is 6 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 5 • 4 = 20
Step-2 : Find two factors of 20 whose sum equals the coefficient of the middle term, which is 6 .
-20 + -1 = -21
-10 + -2 = -12
-5 + -4 = -9
-4 + -5 = -9
-2 + -10 = -12
-1 + -20 = -21
1 + 20 = 21
2 + 10 = 12
4 + 5 = 9
5 + 4 = 9
10 + 2 = 12
20 + 1 = 21
Equation at the end of step
3
:
5x2 + 6x + 4 = 0
STEP
4
:
Parabola, Finding the Vertex:
4.1 Find the Vertex of y = 5x2+6x+4
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 5 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.6000
Plugging into the parabola formula -0.6000 for x we can calculate the y -coordinate :
y = 5.0 * -0.60 * -0.60 + 6.0 * -0.60 + 4.0
or y = 2.200
Solve Quadratic Equation by Completing The Square
4.2 Solving 5x2+6x+4 = 0 by Completing The Square .
Divide both sides of the equation by 5 to have 1 as the coefficient of the first term :
x2+(6/5)x+(4/5) = 0
Subtract 4/5 from both side of the equation :
x2+(6/5)x = -4/5
Now the clever bit: Take the coefficient of x , which is 6/5 , divide by two, giving 3/5 , and finally square it giving 9/25
Add 9/25 to both sides of the equation :
On the right hand side we have :
-4/5 + 9/25 The common denominator of the two fractions is 25 Adding (-20/25)+(9/25) gives -11/25
So adding to both sides we finally get :
x2+(6/5)x+(9/25) = -11/25
Adding 9/25 has completed the left hand side into a perfect square :
x2+(6/5)x+(9/25) =
(x+(3/5)) • (x+(3/5)) =
(x+(3/5))2
Things which are equal to the same thing are also equal to one another. Since
x2+(6/5)x+(9/25) = -11/25 and
x2+(6/5)x+(9/25) = (x+(3/5))2
then, according to the law of transitivity,
(x+(3/5))2 = -11/25
We'll refer to this Equation as Eq. #4.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(3/5))2 is
(x+(3/5))2/2 =
(x+(3/5))1 =
x+(3/5)
Now, applying the Square Root Principle to Eq. #4.2.1 we get:
x+(3/5) = √ -11/25
Subtract 3/5 from both sides to obtain:
x = -3/5 + √ -11/25
In Math, i is called the imaginary unit. It satisfies i2 =-1. Both i and -i are the square roots of -1
Since a square root has two values, one positive and the other negative
x2 + (6/5)x + (4/5) = 0
has two solutions:
x = -3/5 + √ 11/25 • i
or
x = -3/5 - √ 11/25 • i
Note that √ 11/25 can be written as
√ 11 / √ 25 which is √ 11 / 5
Dilation by scale factor 5
Answer:
is there supposed to be a picture here?
Step-by-step explanation:
if you invest $1600 at 5.25% for 18 months, how much simple interest is earned?
Interest calculator for a $600 investment. How much will my investment of 600 dollars be worth in the future? Just a small amount saved every day, week, or month can add up to a large amount over time. In this calculator, the interest is compounded annually.
What is the value of x.
Will mark Brainlyist if it’s the correct answer.
Please help!
Answer:
THATS OUR TOPIC ALL YOU NEED IS
hope it helps
Which statement describing this experiment is true?
An experiment is proposed to measure the
effectiveness of a brand of sunscreen. Adult volunteers
are randomly assigned to one of two brands of
sunscreen and asked to enjoy a normal day at the
beach. Each volunteer is asked to report back to the
administrators after two hours, at which time both arms
are assessed for sun exposure.
O The volunteers are the explanatory variables.
O. The brands of sunscreen are the response
variables.
O The amount of time in the sun is the response
variable.
O The brands of sunscreen are the explanatory
variables.
Answer:
d
Step-by-step explanation:
The correct option is C. The amount of time in the sun is the response
variable.
Given, An experiment is conducted to measure the effectiveness of a brand of sunscreen.
A response variable measures an outcome of a study. An explanatory variable attempts to explain the observed outcomes. The explanatory variable is usually called independent and the response variable is called dependent.
From the above definition it is clear that A response variable is dependent quantity so here in question, option c states that the amount of time in the sun is the response variable which is right because it is totally depend on the brand of sunscreen.
Hence the correct option is C. The amount of time in the sun is the response
variable.
For more details on response variable follow the link:
https://brainly.com/question/5598457
A ladder leans against the side of a house. The angle of elevation of the ladder is 61° when the bottom of the ladder is 12 ft from the side of the house. Find the
length of the ladder. Round your answer to the nearest tenth.
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
53 grams equals how many ounces?
Answer:
1.86952 ounces
need help offering ten points
If y varies inversely as x and y= 24 when x = 4. find y when x = 3.
A. 32
B. 18
C. 2
D. 288
Answer:
A. 32
Step-by-step explanation:
y varies inversely as x
y = k/x
-------------------------
y = 24 when x = 4
find k, the constant of variation
24 = k/4
multiply both sides by 4
96 = k
----------------------------
find y when x = 3
using k = 96
y = 96/3
y = 32
Sally and Suzie both agree that m∠A + m∠B = 180⁰.
Sally claims ∠A and ∠B are supplementary.
Suzie claims ∠A and ∠B are not supplementary because they are not adjacent.
Who is correct?
Explanation:
The angles do not need to be touching, or adjacent, for them to be supplementary. They simply need to add to 180 degrees.
We have 70+110 = 180, so that proves the angles are supplementary. They can be rearranged to glue together to form a straight angle.
If the angles were supplementary and adjacent, then we can consider them as a linear pair. This is possibly what Suzie might be thinking about.
The ___________ of a numerical set of data is the value that occurs most frequently.
Helppppp pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
6.3
Step-by-step explanation:
Two sides are 9.6 meters long. The perimeter is 31.8 meters.
31.8-9.6-9.6=12.6 the remaining two sides.
12.6/2=6.3 represents the lengths of the other twp sides.
Answer:12.2
Step-by-step explanation:31.8-(9.6x2)=12.2
What does 5-10n equal ?
Anyone know the answer is
Answer:
648π cm³
Step-by-step explanation:
Hi there!
The formula to find the volume of a cylinder is r²πh, where r is the radius, π is pi, and h is the height
first, let's find the area of the circle (r²π)
we are given that the radius is 9 cm
so we can square the 9, which is the same as multiplying it by itself
(9*9)=81π
Your answers leave everything in pi, so we can leave the area of the circle as is :)
now, multiply 81π by the height, which is given as 8 cm
81π*8=648π
therefore the answer is 648π cm³
Hope this helps!
The following is a geometric series.
6+8+11+15+20+26+...
O True
Ő False
Explain why for brainliest
Answer: false
Step-by-step explanation:
Answer:
False because a sequence is geometric if common ratio of all terms of sequence is same.
here 8/6 is not equal 11/8.
Eg: the sequence 3,6,12,… is geometric because 6/3 = 12/6.
Find lim f(x) as x->2- and lim f(x) as x->2+
Answer:
2x the correct answer okay
HELP PLEASE!!!! ILL MARK U BRAINLESS FIRST PERSON TO ANSWER
Answer:
9/16 <fraction 0.5625 <decimal 56.25%
Step-by-step explanation:
There are 53 beads on Ashley's necklace. 19 of the beads are pink and the rest are purple. What is the ratio of the number of purple beads to the total number of beads?
34: ?
Answer:
34 beads are purple so for every 19 pink there are 34 purple hope this helps
The number 42 has the prime factorization 2 · 3 · 7. Thus, 42 can be written in four ways as a product of two positive integer factors (without regard to the order of the factors): 1 · 42, 2 · 21, 3 · 14, and 6 · 7. Answer a–d below without regard to the order of the factors. (a) List the distinct ways the number "858" can be written as a product of two positive integer factors. (Enter your answer as a comma-separated list of products.)
Answer:
[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]
Step-by-step explanation:
Given:
[tex]Number = 858[/tex]
Required
List all its distinct product of two numbers
First, we list out the prime factors of the given number.
We have:
[tex]Number = 2 * 3 * 11 * 13[/tex]
So, the possible products are:
(1) 1 and the integer itself.
[tex]1 * 858 = 858[/tex]
(2) 1 prime factor and the product of other primer factors
[tex]2 * 429 = 858[/tex]
[tex]3 * 286 = 858[/tex]
[tex]11 * 78 = 858[/tex]
[tex]13 * 66 = 858[/tex]
(3) A pair of prime factors and the product of remaining primer factors
[tex]6 * 143 = 858[/tex]
[tex]22 * 39 = 858[/tex]
[tex]26*33 = 858[/tex]
Hence, the list are:
[tex]1 * 858,\ 2 * 429,\ 3 * 286,\ 11 * 78,\ 13 * 66,\ 6 * 143,\ 22 * 39,\ 26 * 33[/tex]
The average number of Saturday night shootings is 5 a night. What’s the chance that there will be a need for exactly 3 shootings this Saturday?
Answer:
0.14
Step-by-step explanation:
Using the poisson probability relation :
P(x = x) = (λ^x * e^-λ) ÷ x!
From the question ; mean, λ = 5 ; x = 3
Hence,
P(x = 3) = (5^3 * e^-5) ÷ 3!
P(x = 3) = (125 * 0.0067379) / 6
P(x = 3) = 0.8422375 / 6
P(x = 3) = 0.140
solve the inequality 1 - 2x + - 7
Answer: x = -3 or if not solving for x then -2x -6
Step-by-step explanation:
1 - 2x - 7 = 0
-6 - 2x = 0
add 2x on both sides
-6 = 2x
divide 2 on both sides
-6/2 = x
x = -3
How do I work this out?
Answer:
Option 2, 3(5y-11) - 2
Hope this helps!
NO LINKS What is the surface area? 5 cm 8 cm 7 cm square centimeters
Answer:
262 feet²
Step-by-step explanation:
2(5×8 + 5×7 + 8×7)
2(40+35+56)
2(131)
262
---
hope it helps
Which is correct?
There laughing at the magazine . Their magazine is very funny Put the magazine over they're.
2. Their laughing at the magazine. They're magazine is very funny. Put the magazine over there.
3. They're laughing at the magazine . Their magazine is very funny. Put the magazine over there.
4. There laughing at the magazine . They're magazine is very funny . Put the magazine over their.
Answer:
3
Step-by-step explanation:
for the first word in three, its they are basically makes the most sense.
Answer:
3 because it is very correct and sounds normal
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
Greta has $6 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
A study of traffic violations on a busy highway finds that the number of tickets for speeding written by officers tends to decrease on rainy days. A police sergeant explains that driver behavior could be a confounding variable.
Which statement best explains the confounding variable in this study?
On sunny days, more tickets for speeding are written than on rainy days.
Officers are less likely to want to leave their police cars to write tickets on rainy days.
Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases.
Drivers are more likely to speed on rainy days to get to their destination faster.
Answer:
c
Step-by-step explanation:
The statement which explains the given options will be Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases. Hence, option C is correct.
What are traffic rules?According to the Traffic Ordinance, disobeying a rule or following a piece of advice inside the Road Users' Code is not in and of itself an offense, but any such rejection may be looked into in any deliberations (as to if civil or criminal, including litigation for an offense underneath the Road Traffic Ordinance), and may also be relied upon for establishing or negating any liability.
However, it should be emphasized that several of the guidelines in the Car Drivers' Code exactly mirror the law, and anyone who violates these guidelines may be breaking the law.
It means that on rainy days, divers drive very carefully as compared to other days.
To know more about traffic rules:
https://brainly.com/question/28879065
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Which of the following would be in the solution set for x < 4
Group of answer choices
4
-4
4.2
4.002
Answer:
- 4
Step-by-step explanation:
The set of all possible value that would make the above statement true must be less than 4.
Therefore the only option we have is -4