Answers
Answer:It's A(45)
Step-by-step explanation:
Got it right on Edge
Related Questions
For a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula d = v + v2 20 where d is measured in feet. kerry wants her stopping distance not to exceed 75 ft. at what range of speeds (in mi/h) can she travel? (enter your answer using interval notation.) c
Answers
The range of speeds in miles per hour Kerry can travel is [tex]-50\ge v\le30[/tex] .
Given that, a certain model of car the distance d required to stop the vehicle if it is traveling at v mi/h is given by the formula [tex]d = v + \frac{v^2}{20}[/tex].
Here,
[tex]75=v+\frac{v^2}{20}[/tex]
[tex]75=\frac{(20v+v^2)}{20}[/tex]
[tex]v^2+20v=20\times75[/tex]
[tex]v^2+20v=1500[/tex]
[tex]v^2+20v-1500=0[/tex]
[tex](v+50)(v-30)=0[/tex]
[tex]v-30=0[/tex]
[tex]v=30[/tex]
First thing is to realize what 'not to exceed' means. More than 75 feet exceeds 75 feet, but exactly 75 feet or anything less does not. So you want to determine v such that [tex]d\le75[/tex].
[tex]d=v+\frac{v^2}{20}[/tex]
is the given model. This is a reasonably good model presuming you have a better than average reaction time, dry pavement, new tires, etc. Be that as it may, you need to determine v such that:
[tex]v+\frac{v^2}{20} \le75[/tex]
Multiply by 20, we get
[tex]20v+v^2\le1500[/tex]
Add -1500 to both sides
[tex]v^2+20v-1500\le0[/tex]
[tex](v+50)(v-30)\le0[/tex]
So, [tex]v\le-50[/tex] or [tex]v\le30[/tex]
Thus, the range is [tex]-50\ge v\le30[/tex]
Therefore, the range of speeds in miles per hour Kerry can travel is [tex]-50\ge v\le30[/tex] .
Learn more about the average speed here:
brainly.com/question/9834403.
#SPJ12
Kerry can travel at speeds in the range [tex]{(-\infty, 30]} mi/h[/tex].
To find the range of speeds Kerry can travel while ensuring her stopping distance doesn't exceed 75 feet, we need to solve the inequality [tex]v + \frac{v^2}{20} \leq 75[/tex], where v represents her speed in miles per hour.
First, we rearrange the inequality:
[tex]v^2 + 20v - 1500 \leq 0[/tex]
Next, we factor the quadratic equation:
[tex](v - 30)(v + 50) \leq 0[/tex]
This gives us two critical points: v = 30 and v = -50.
Since speed cannot be negative, we discard v = -50.
Now we test the intervals created by the critical point:
- For v < 30, the inequality holds.
- For v > 30, the inequality does not hold.
A total of 231 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answers
Final answer:
To determine the number of adult tickets sold for the school play, an equation was set up using algebra with x representing adult tickets, which turned out to be 77 after solving the equation x + 2x = 231.
Explanation:
The student has asked to find out how many adult tickets were sold when a total of 231 tickets were sold for a school play, with the number of student tickets being two times the number of adult tickets. To solve this, we can use algebraic methods and set up an equation.
Let x be the number of adult tickets sold, then the number of student tickets sold would be 2x. Given that the total number of tickets is 231, we can write the equation as:
x + 2x = 231
Simplifying, we get:
3x = 231
Dividing both sides by 3, we find that:
x = 77
Therefore, 77 adult tickets were sold.
Manda uses the recipe shown to make punch for a family party. amanda’s punch recipe 7 parts mixed fruit juice 2 parts lemonade how much lemonade will she need to make 180 fluid ounces of punch
Answers
7/9(180) = 1260/9 = 140 fluid oz .....mixed fruit
2/9(180) = 360/9 = 40 fluid oz <== lemonade
Answer:
40 fluid ounces of lemonade.
Step-by-step explanation:
Amanda uses the recipe shown to make punch for a family party.
Amanda's punch recipe 7 parts mixed fruit juice 2 parts lemonade.
7 + 2 = 9 parts
She will need to make 180 fluid ounces of punch.
she will need lemonade = (180/9) × 2
= 20 × 2
= 40 fluid ounces lemonade
She will need fruit juice = (180/9) × 7
= 20 × 7
= 140 fluid ounces fruit juice.
Amanda will need 40 fluid ounces lemonade to make 180 fluid ounces of punch.
Which figures are polygons? Figure A has 6 sides all made of line segments. figure b is a regular hexagon. it has 6 sides made all of segments. Figure c is shaped iike a long semicircle. the bottom is a segment. The top part is curved. Figure D has 7 sides which are all segments.
Answers
A polygon is said to be a regular polygon if the sides are all of the same length.
Thus, the figures that are polygon are:
Figure A which has 6 sides all made of line segments.
Figure B which is a regular hexagon, having 6 sides made all of segments.
Figure D has 7 sides which are all segments.
Answer:
A,B,D
Step-by-step explanation:
i go to k-12 and the answer is correct
sharon drives 3 miles to every 2 miles driven by steve how far does sharon drive if the journey is 250 miles
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250 / 5 = 50
so sharon drives 3*50 = 150 miles and steve drives 100.
750/2=375
Algebra expression ; Nine more than the product of 51 and the number T
Answers
hope it helps
Use the premises and conclusion to answer the questions.
Premises:
If a quadrilateral has two pairs of parallel sides, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
Conclusion:
If a quadrilateral has two pairs of parallel sides, then its opposite angles are congruent.
Which statement best describes this argument?
The argument is valid by the law of syllogism.
The argument is invalid because the conclusion does not follow the premises.
The argument is valid by the law of detachment.
The argument is invalid because the premises are not true.
Answers
Answer:
The argument is valid by the law of syllogism.
Step-by-step explanation:
The law of syllogism is also called the law of transitivity. It is based on the transitive property, which states "if a = b and b = c, then a = c."
In our problem, our statement a would be "A quadrilateral has two pairs of parallel sides". Our statement b would be "It is a parallelogram." Our statement c would be "Its opposite angles are congruent."
That would make "if a = b"
"If a quadrilateral has two pairs of parallel sides it is a parallelogram."
Then "b = c" would be
"If a quadrilateral is a parallelogram, its opposite angles are congruent."
"a = c" would then be
"If a quadrilateral has two pairs of parallel sides its opposite angles are congruent."
This is the conclusion we were given, so this is the law of syllogism.
One number is 5 more than another number. their sum is −15 . what are the numbers?
Answers
x+y=-15
subsitute 5+y for x
5+y+y=-15
5+2y=-15
minus 5 from both sides
2y=-20
divide both sides by 2
y=-10
sub back
x=5+y
x=5-10
x=-5
the numbers are -10 and -5
Don't worry about the pics at the bottom plz help
Answers
second one: x≥5
im pretty sure its right
Hope this helps love! :)
Write an equation of an ellipse with vertices of (-3, 0) and (3, 0), and co-vertices (0, -5) and (0, 5). Graph the ellipse.
Answers
This graph is the answer:
The iq scores of the five members of the duluth family are 100, 82, 104, 96, and 118. for this distribution of scores, the range is:
Answers
The range is the difference between the biggest and smallest number.
Let R = range
R = 118 - 82
R = 36
The range is 36.
Final answer:
The range of the IQ scores (100, 82, 104, 96, and 118) for the Duluth family is calculated by subtracting the lowest score from the highest (118 - 82), resulting in a range of 36 points.
Explanation:
The IQ scores of the five members of the Duluth family are 100, 82, 104, 96, and 118. To find the range of this distribution of scores, you first identify the highest and lowest scores in the set. The highest IQ score is 118, and the lowest is 82. The range is the difference between the highest and lowest scores, so:
Range = Highest score - Lowest score
Range = 118 - 82
Range = 36
Therefore, the range of the distribution of IQ scores for the Duluth family is 36 points.
Please help me with this!!!
Answers
[tex]y=\frac{k}{x}[/tex]
Using the given information, we can find k:
[tex]39=\frac{k}{3}[/tex]
[tex]39*3=k[/tex]
So then k=117. Now we just need to solve for y when x=11:
[tex]y=\frac{117}{11}[/tex]
The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
Answers
You may write the equation as
(y-1)^2 = (1) (x+4)
(y-k)^2 = 4p(x-h), where (h,k) is the vertex
4p=1
p=1/4
k=1
h=-4
The directrix is a vertical line x= h-p
x = -4-1/4
x=-17/4
-------------------------------
What is the focal length of the parabola with equation y - 4 = 1/8x^2
(x-0)^2 = 8(y-4)
The vertex is (0,4)
4p=8
p=2 (focal length) -- distance between vertex and the focus
-------------------------------
(y-0)^2 = (4/3) (x-7)
vertex = (7,0)
4p=4/3
p=1/3
focus : (h+p,k)
(7+1/3, 0)
y = 1/8(x + 16)^2 - 12
so the vertex is at (-16,-12) and the x coordinate of the focus will be -16)
The focus will be at (-16, k + p) Here k = -12 from the vertex equation and p = 1 / 4a where a = 1/8 so p = 1 / 1/2 = 2 So k + p = -12 + 2 = -10
So the coordinates of the focus are (-16, -10) answer
Find the circumference of a circle with a radius of 6. Leave your answer in terms of
Answers
The formula for the circunference of a circle is:
[tex]C=2 \pi r[/tex]
Input the value for the radius.
[tex]C=2 \pi(6)[/tex]
Multiply.
[tex]C=12 \pi[/tex]
...or if you require a fully simplified answer:
[tex]C=37.699[/tex]
The Answer Is:
[tex] \left[\begin{array}{ccc}C=12 \pi \end{array}\right] [/tex]
I hope this helped!
-Benjamin
A football team lost 5 yards on one play and gained 12 yards on the next play. write a sum of integers to find the overall change in field position. explain your answer
Answers
-5 + 12 = 7...overall change is 7
Ramona is ordering carpet for a room that is 19.5 feet by 41.6 feet. the carpet is $9.50 per square foot. about how many square feet of carpet will ramona need to order to cover the entire room
Answers
Can someone Please help me? How did I get this question wrong? I chose the last option, but that's incorrect. Please answer asap. Most helpful answer gets brianliest!
The triangle JKL shown on the coordinate grid below is reflected once to map onto triangle J'K'L':
If vertex L' is at (−3, 4), what are the coordinates of vertex J'?
(1, −8)
(−8, 1)
(−1, 8)
(8, −1)
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Why does the limit as x approaches zero for the function f(x)=sin(π/x) not exist?
limx→0 sin(π/x)
Answers
that would be sin(infinty) which is nonexistant because it goes up and down and doesn't approache a value
∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ? Enter your answer in the box.
Answers
we know that
Vertical angles are congruent angles opposite each other where two lines cross
so
in this problem
m∠A=m∠B
so
substitute the values
[tex]x=3x-60\\3x-x=60\\2x=60\\x=60/2\\x=30\°[/tex]
therefore
the answer is
The measure of angle A is [tex]30\°[/tex]
In a pet store the number of fish is 120 more than three times the number of reptiles. If the pet store has 210 fish, how many reptiles does it have? Write a two step equation to model the scenario. Then solve the question.
Answers
210=3r-120
330=3r
110=r
110 reptiles
Answer:
110
Step-by-step explanation:
what does the y-intercept mean in terms of the graph? Select all that apply.
a. the x-value at a y-value of 0.
b. the y-value at an x-value of 0.
c. where the function crosses the y-axis
d. where the function the x-axis
Answers
Your answer would have to be C. where the function crosses the y-axis
Hope This Helps!
Which of the symbols does not make the following statement true?
|-1| ___ |1|
>
≤
≥
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m=(x+n)/(p)
An answer would be sweet!! God bless
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x=-n+mp
Miguel received a $50 gift card to the bookstore. he would like to buy 3 books that cost$ 15.75 each including tax. he estmates that he cannot bey all three book because each book cost about $20, and all three book would cost $60 .is his estimate resonable?explain your reasoning.
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PLEASE HELP ME IN THESE TWO QUESTIONS ASAP! AND YES, I AM GOING TO MARK YOU AS THE BRAINLIEST ANSWER!!!!!
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For that line to be perpendicular to y=-2/5x+6, their slopes should be each other's negative reciprocals.
-2/5 negative reciprocal is 5/2, which is not equal to our calculated 5/3, so (2,2) cannot be the reflected point. Evan was wrong.
Q1-74: AB have slope 6/5, C has -5/6, D 6/5, E -5/6 again.
You are considering leasing one of two store sites of equal size. The first site features a percentage lease of 4% of sales per month. The second site features a triple net lease with these monthly terms: rent is 3% of sales, insurance is $175, maintenance is $50, utilities total $345, and property tax is $165. Your business plan estimates your monthly sales to average $85,000. Which lease is better for you financially?
Answers
The amount due for the first term of payment is the product of the total sales and the percentage.
(1) Amount due = ($85,000)(0.04) = $3,400
The total amount due for the second term of payment is the product of the total sales and the percentages together with all the fees specified in the item (insurance, maintenance, and utilities).
(2) Amount due = ($85,000)(0.03) + $175 + $50 + $345 = $3,120
If we are to compare the two amounts, using the second term of payment, lesser amount will be paid. Thus, the answer to this item is the second choice.
Answer: Second site
Step-by-step explanation:
just did the quiz
mixed number change into a improper fraction 3 9/12 + 6 1/2 show ur work
Answers
3 3/4= 15/4
6 1/2= 13/2
13/2(2/2)= 26/4
15/4+ 26/4= 41/4
The answer is 41/4 or 10 1/4.
Hope this helps!
------Seventh Grader
What's the greatest common factor of 45,9,63
Answers
Answer:
GCF = 9
Step-by-step explanation:
Bob did one random math fact on the first day, two random math facts on the second day, three random math facts on the third day, and so on. On which day will he do his 97th random math fact?
Answers
it will be on the 14th day.
See attached picture:
Answer:
on the 14th day
Step-by-step explanation:
An airplane descends at a rate of 300 feet for every 5000 horizontal feet that the plane travels. What is the slope of the path of descent?
Answers
slope = -300/5000
slope = -3/50
Hope this helped!
Answer:
slope=-3/50
Step-by-step explanation:
slope= y/x
y=-300
x=5000
substituting into the equation:
slope=-300/5000