Note: The must be [tex]0.04v^2[/tex] instead of [tex]0.04v[/tex].
Given:
The stopping distance, d ( in feet) for a van moving at a velocity (speed) v miles per hour is modeled by the equation:
[tex]d=0.04v^2+1.1v[/tex]
To find:
The stopping distance for a velocity of 10 miles per hour.
Solution:
We have,
[tex]d=0.04v^2+1.1v[/tex]
where, d is stopping distance and v is velocity.
Substitute v=10 in the given equation to find the stopping distance for a velocity of 10 miles per hour.
[tex]d=0.04(10)^2+1.1(10)[/tex]
[tex]d=0.04(100)+11[/tex]
[tex]d=4+11[/tex]
[tex]d=15[/tex]
So, the stopping distance for a velocity of 10 miles per hour is 15 ft.
Therefore, the correct option is c.
Statements
Reasons
1. ZABC is rt. 2
1. A
Identify the missing parts in the proof.
Given: ZABC is a right angle.
DB bisects ABC.
Prove:mZCBD = 45°
2. DB bisects ABC
2. given
3. def. of rt. 2
3. B
A:
4. m ABD = mZCBD
4. def. of bis.
B:
C:
D:
5.C
5. M_ABD + m2CBD = 90°
6. m2CBD + m2CBD = 90°
7. D
6. subs. prop.
7. add.
8. div. prop.
8. mZCBD = 45°
Answer:
See Explanation
Step-by-step explanation:
The question has unclear information.
So, I'll answer from scratch
Given
ABC = Right angled triangle
DB bisects ABC
Required
Prove that CBD = 45
From the question, we have that:
ABC is right angled at B
So, when DB bisects ABC, it means that DB divides ABC into two equal angles.
i.e.
[tex]CBD = ABD[/tex]
and
[tex]CBD + ABD = 90[/tex]
Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]
[tex]CBD + CBD = 90[/tex]
[tex]2CBD = 90[/tex]
Divide both sides by 2
[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]
[tex]CBD = \frac{90}{2}[/tex]
[tex]CBD = 45[/tex]
Hence, it is proved that [tex]CBD = 45[/tex]
Follow the above explanation and use it to answer your question properly
What is the slope of the line that passes through the points (10,-6) and (8, -16)?
Write your answer in simplest form.
Answer:
y = 5x -56
Step-by-step explanation:
Delta y over Delta x for slope. Plug in x = 0 for y int.
y = 5(0) -56
y = -56
Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)
Answer:
Your answer is going to be - 722
Step-by-step explanation:
(3-41)=-38
(-3+22)=19
-38*19=-722
Answer: (3 – 41) x (-3+22)= -722
When you go to do the multiplication or any math like this
parentheses,
exponents,
multiplication &division,
addition & subtraction,
Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,
So If you do the math in P-E-M-D-A-S (3−41)(−3+22)
=−38(−3+22)
=(−38)(19)
=−722
-722 is your answer
So...I'm stuck on this. HELP
Answers:
Yes the data can be modeled with a linear equation.
Processing fee = 42 dollars; Daily fee = 102 dollars
Max number of days you can rent house = 11 days
========================================================
Explanation:
Part 1
Let
x = number of days
y = total cost in dollars
Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.
--------------------
Part 2
The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.
You could also use the slope formula with say the first two columns of the table
m = (y2-y1)/(x2-x1)
m = (450-246)/(4-2)
m = 204/2
m = 102
This confirms the daily fee is $102.
You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.
Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.
y = mx+b
246 = 102*2+b
246 = 204+b
246-204 = b
42 = b
b = 42
The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.
--------------------
Part 3.
Plug in y = 1200 and solve for x
y = 102x+42
1200 = 102x+42
1200-42 = 102x
1158 = 102x
102x = 1158
x = 1158/102
x = 11.3529411764706
x = 11
We round down to the nearest whole number. This way we clear the hurdle.
Note that if x = 11, then,
y = 102x+42
y = 102*11+42
y = 1164
which is under the $1200 budget
In contrast, plugging in x = 12 leads to
y = 102x+42
y = 102*12+42
y = 1266
which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.
Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?
Answer:
13 favors
Step-by-step explanation:
Roll of ribbon = 4 1/3 feet long.
favor = 1/3 feet of ribbon
How many favors can she make?
Number of favors = Total roll of ribbon / length of each favors
= 4 1/3 feet ÷ 1/3 feet
= 13 / 3 × 3 / 1
= (13 × 3) / (3 × 1)
= 39 / 3
= 13
Number of favors = 13
Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet
Is this sequence arithmetic, geometric, or neither? 45, 50, 65, 70, 85, ...
neither
geometric
arithmetic
Answer:
Sequence of arithmetic
Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
anyone know the answers for either one?
Answer:
nah
Step-by-step explanation:
but search up a tutorial that helps me
What is the answer? I can not figure it out at all I’ve been lookin forever now plz help!
Answer:280
Step-by-step explanation:
use formula:a+b/2+h a=base b=base h=height
Clarissa has a budget of $1,200 a month to spend for rent and food. She has already spent $928 this month. Which inequality represents the amount she can still spend this month and remain within her budget?
Answer:
the answer is x ^ 272
Step-by-step explanation:
subtract
Answer:
its B
Step-by-step explanation:
I got 100 on the quiz
I need help pls!
A statue is 7 feet tall. How many inches tall is the statue? 1. foot = 12 inches
2
A. 62.5 inches
B.90 inches
C 75 inches
D.45 inches
Answer:
Step-by-step explanation:
7 feet 1 foot is 12 inches
7*12= 84 inches.
None of the choices are correct.
90 inches is 7.5 feet
62.5 inches is 5.2 feet
75 inches is 6.25 feet
solve: [S=$75+$150m]
Answer:
Step-by-step explanation:
$ = $75 + $150m
$ = $75 = $150,000,000 ($150m is equal to $150 million)
$ = $150,000,075 (adding $150,000,000 and $75)
0.75h + 3 = 12
What's the answer?
Answer:
h = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
0.75h + 3 = 12
Step 2: Solve for h
Subtract 3 on both sides: 0.75h = 9Divide 0.75 on both sides: h = 12Step 3: Check
Plug in h into the original equation to verify it's a solution.
Substitute in h: 0.75(12) + 3 = 12Multiply: 9 + 3 = 12Add: 12 = 12Here we see that 12 does indeed equal 12.
∴ h = 12 is a solution of the equation.
Answer:
h = 12
Step-by-step explanation:
Given
0.75h + 3 = 12 ( subtract 3 from both sides )
0.75h = 9 ( isolate h by dividing both sides by 0.75 )
h = 12
does anyone know this.
i will give brainliest
Answer:
4.1 x 10^8
Step-by-step explanation:
Answer:
The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.
what are the y-intercept and the slope of the line represented in the graph? (i will give most brainly to whoever answers)
Answer:
Y is 4 and slope is 2
Step-by-step explanation:
the red line hits 4 and the sope is the other number that the red line hits which is 2
Evaluate 7 – (-1).
Answer:
8
Step-by-step explanation:
7-(-1)
My teacher said if it looks like this: -(- make it a plus!
so basically 7+1=8
What is the solution of |y+2|=6
|y+2| = 6
There are 2 cases possible -
1st case -
y + 2 = 6
y = 6 - 2
y = 4
2nd case -
- ( y + 2 ) = 6
- y - 2 = 6
- y = 6 + 2
- y = 8
y = -8
Values of y = 4, -8solve for x if 2(5x + 2)^2 = 48
Answer:
(c) is the Correct answer of this
Step-by-step explanation:
First divide both sides by 2
then apply (a+b)^2 = a^2+b^2+2ab formula
solve quadratic equation
then apply discriminant formula
Hope you get it dear ☺️
Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?
Answer:
3.5 pounds for 14 people
Step-by-step explanation:
Given
1 pound = 4 people
Required
Determine the pounds for 14 people
Represent this with x; so, we have:
[tex]1\ pound = 4\ people[/tex]
[tex]x = 14\ people[/tex]
Cross Multiply
[tex]x * 4 = 1 * 14[/tex]
[tex]4x = 14[/tex]
Solve for x
[tex]x = 14/4[/tex]
[tex]x = 3.5[/tex]
Hence, 3.5 pounds for 14 people
What is the equation of the line that passes through (-1, -7) and has a slope of 2?
Answer:
y=2x + 5 I think it should be
You got an A on 6 of your last 8 quizzes in Algebra 2. What is the experimental probability that you will get an A on your next quiz? (Simplify the fraction).
whats pi the math number
Answer:
3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846
Step-by-step explanation:
A music teacher arranged 304 chairs in a rows for a concert. She puts 16 chairs in each row. How many rows of chairs did she arrange? A) 20 B) 16 C) 22 D) 19
Answer:
19 rows.
Step-by-step explanation:
304/16
=19.
Hope this helped!
PLEASE HELP!!! THANK YOU!!!
Answer:
1st attachment :-counters left = 160
fraction of counters left = 160/400
=2/5
2nd attachment :-a) how much cheaper = 13 ×(35.43 -15.37)
= 260.78
b) B.underestimate
Answer:
260.78
Step-by-step explanation:
How many of y'all are in virtual school and using this app for help
Answer:
thx
Step-by-step explanation:
really needed them and merry christmas
For f(x) = -x + 8, which statement is true?
please help me this is for algebra 1 the correct answer ill give brainly!
Answer:
1/2x is m and 3 is b
Step-by-step explanation:
y= 1/2x +3
The formula would be MX+B.
so the slope which is m would be 1/2
and the +3 part would be the y intercept
because it's in the slope intercept form
solve this one pleeaasssee
Answer:
the answer is c
Step-by-step explanation:
when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.
Divide and reduce: 2 1/4 divided by 1 2/3
Answer:
63/48
Step-by-step explanation:
21/4÷12/3
21/4×3/12
63/48.
So the final answer is 63/48
Answer:
1/35
Step-by-step explanation:
Tavares is saving for a $350 cell phone.He already has $60 and plans to save an additional $20 per week?How many weeks will Tavares have to save before he can buy the cell phone ?
Answer:
15 weeks
Step-by-step explanation:
15 times 20 = 300
300+60=360
15 Weeks
Step-by-step explanation:
You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks
A circle divided into 4 parts. 2 parts are shaded.
Which fraction is equivalent to One-half? Use the diagram to help answer the question.
One-fourth
Two-fourths
Three-fourths
Four-fourths
A circle is divided into 4 parts out of which 2 parts are shaded. The diagram is attached for a better understanding. The fraction equivalent to 'Half' is 'Two-fourths'.
A fraction is part of the whole. It consists of two parts, that are:
1. Numerator: The number at the top of a fraction is called Numerator.
2. Denominator: The number at the bottom of a fraction is called Denominator.
The 'Half' is written in the number system as [tex]\dfrac{1}{2}[/tex].
Let's multiply the numerator and denominator by 2,
[tex]\dfrac{1}{2}= \dfrac{1 \times 2}{2 \times 2} = \dfrac{2}{4}[/tex]
Hence, the factor 'Two-fourths' is equivalent to 'Half'.
Learn more about Fraction here:
https://brainly.com/question/10354322
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