Answer:
radius of the curve=r=150m
coefficient of friction=\muμ =0.6
As car is avoid skidding
\begin{gathered}\\ \sf\hookrightarrow \dfrac{mv^2}{r}=\mu mg\end{gathered}
↪
r
mv
2
=μmg
Cancel m
\begin{gathered}\\ \sf\hookrightarrow \dfrac{v^2}{r}=\mu g\end{gathered}
↪
r
v
2
=μg
\begin{gathered}\\ \sf\hookrightarrow v^2=\mu rg\end{gathered}
↪v
2
=μrg
\begin{gathered}\\ \sf\hookrightarrow v^2=0.6(10)(150)\end{gathered}
↪v
2
=0.6(10)(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=60(150)\end{gathered}
↪v
2
=60(150)
\begin{gathered}\\ \sf\hookrightarrow v^2=900\end{gathered}
↪v
2
=900
\begin{gathered}\\ \sf\hookrightarrow v=30ms^{-1}\end{gathered}
↪v=30ms
−1
Waluigi's Towing Service charges $38.51 for its hook-up fee plus $35.21 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 35.21m + 38.51. Which value in the equation represents the rate of change?
A .. The number of miles towed
B .. $38.51
C .. $35.21
D .. $73.72
Answer:
c 35.21
Step-by-step explanation:
rate of change is=to slope
in y=mx+b
m is slope(rate of change)
x the variable such as miles
b is y intercept
Write an eighth-degree polynomial in factored form that is decreasing at both ends , has a single root at -2, a double root at 3 and 0 and triple root at -1
Answer:
Step-by-step explanation:
y = -1(x + 2)(x - 3)(x - 3)(x + 0)(x + 0)(x + 1)(x + 1)(x + 1)
The 8 degree polynomial for the given roots can be written as p(x) = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².
What is factor theorem?The factor theorem states that for a polynomial p(x) if there exists a real number a such that p(a) = 0, then (x - a) is one of the factors of p(x).
The roots of the polynomial are given as follows,
Number of roots at -2 = 1
Number of roots at 3 = 2
Number of roots at 0 = 2
And, number of roots at -1 = 3.
Now, the polynomial can be written using factor theorem as,
p(x) = x²(x + 2)(x - 3)²(x + 1)³
= x²(x + 2)(x²- 6x + 9)(x³ + 3x² + 3x + 1)
= x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x²
Hence, the polynomial for given roots can be written as p(x) = x⁸ - x⁷- 12x⁶ - 4x⁵ + 30x⁴ + 51x³ + 18x².
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Find the value for x.
Answer:
4x + 22
Step-by-step explanation:
Which pair of expressions are equivalent?
A
3x+2+2x and 7x
B
8(x−3) a
nd 8x−24
C
4(x+1) and 4x+1
D
3(5x) and 8x
-PLEASE HURRY
8. Given: x2 – 2x + 5, find :
1.f(2)
2.f(-3)
3.f(0)
4.f(5) - f(-2)
5.f(1) + f(6)
-
Answer:
Step-by-step explanation:
f(x) = x² - 2x + 5
1) f(2) = (2)² - 2(2) + 5 = 5
2) f(-3) = (-3)² - 2(-3) + 5 = 20
3) f(0) = (0)² - 2(0) + 5 = 5
4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7
5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33
12. TEKS 21
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were
black-and-white coples, and the rest were color copies.
.
Each black-and-white copy cost $0.08.
Each color copy cost $0.15.
.
Which system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop?
The system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
Given:
Total amount paid = $6.00
Total copies = 68
cost of black-and-white copy = $0.08
cost of color copy = $0.15
let
number of black-and-white copies = b
number of color copies = c
The equation:
b + c = 68
b + c = 680.08b + 0.15c = 6
Therefore, the system or equations can be used to find b, the number of black-and-white copies,
and c, the number of color copies that the customer paid for at the print shop is
b + c = 68
b + c = 680.08b + 0.15c = 6
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Help help help help math math
Lella will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $46 and costs an additional $0.14 per mile driven. The
second plan has an initial fee of $51 and costs an additional $0.10 per mile driven
Which of the following cannot be used to prove that two triangles are congruent?
A.AAA
B.ASA
C.SSS
D.HL
Answer:
A
Step-by-step explanation:
:)
hope it helps
Apply Euclid algorithm to find HCF of number 4052 and 420
Answer:
ANSWER 4
Step-by-step explanation:
the hcf is 420 and then u say 2x2=4 simple
A grocery store introduced two new flavors of scones: cranberry and orange.
On the first day, 28 cranberry scones and 16 orange scones were sold.
Each day after that, 14 cranberry scones and 11 orange scones were sold.
Drag the tiles to complete the table. Each tile may be used once, more than once, or not at all.
Step-by-step explanation:
For the Cranberry Scones you all add 14 with it so 14+28=42 42+14=56 56+14=70 70+14=84. So, the answers on Cranberry scones are
28 42 56 70 84
Orange scones you add 11 to all of them so 11+16=27 27+11=38 38+11=49 49+11=60.So the answer on Orange Scones is
16 27 38 49 60
Which characteristics did early Japanese, Chinese, and Korean civilizations share?
They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.
Answer:They were nations at war that shared a common religion.
Step-by-step explanation:
edge
Answer:
B. They were nations at war that shared a common religion.
Explanation: I got it right.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )
Answer:
5 sqrt(6) = x
Step-by-step explanation:
The pythagorean theorem states
a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse
7^2 + (sqrt(101))^2 = x^2
49+101 = x^2
150 = x^2
Take the square root of each side
sqrt(150) = sqrt(x^2)
sqrt(25*6) = x
5 sqrt(6) = x
Convert 62% into a fraction
Answer:
62% = 31 / 50
Step-by-step explanation:
62/100
if you need to simplify then it would be 31/50
Hello plz help with these two.
Problem 1
Answer: Choice D--------------
Explanation:
The vertices are (-12,0) and (12,0). Both of which are on the same horizontal line. Because of this, we have a hyperbola that opens leftward and rightward. Such hyperbolas are of the form
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1[/tex]
where (h,k) is the center and the a,b terms help set up the asymptotes.
The midpoint of the vertices (-12,0) and (12,0) is the point (0,0). This is the center. So we know that h = 0 and k = 0.
For left/right opening hyperbolas, the asymptotes can be described as the equations:
y = (b/a)x
y = (-b/a)x
Or we can condense them into [tex]y = \pm \frac{b}{a}x[/tex]. Compare this to the given equation [tex]y = \pm\frac{5}{12}x[/tex] to see that b = 5 and a = 12.
Therefore, we get the following:
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\\\\\frac{(x-0)^2}{12^2}-\frac{(y-0)^2}{5^2}=1\\\\\frac{x^2}{144}-\frac{y^2}{25}=1[/tex]
That points us to choice D.
You chose the correct answer.
=============================================================
Problem 2
Answer: Choice A--------------
Explanation:
Divide both sides by 3600 so we can turn that "3600" into "1". Then our goal is to get that "1" to its own side like so:
[tex]25x^2-144y^2 + 3600 = 0\\\\\frac{25x^2-144y^2 + 3600}{3600} = \frac{0}{3600}\\\\\frac{25x^2}{3600}-\frac{144y^2}{3600} + \frac{3600}{3600} = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} + 1 = 0\\\\\frac{x^2}{144}-\frac{y^2}{25} = -1\\\\-\frac{x^2}{144}+\frac{y^2}{25} = 1\\\\-\frac{x^2}{12^2}+\frac{y^2}{5^2} = 1\\\\[/tex]
We see that a = 12 and b = 5 like earlier, so we end up with the same asymptotes as before. The only difference is that this hyperbola opens upward/downward rather than left/right.
You made the correct choice in picking answer A. Both of your answers are correct. Nice work.
Given mſn, find the value of x.
(6x+10)
>
(10x+10)
Elsa is selling bracelets at craft shows to raise money for an animal shelter.
She is also accepting additional cash donations. She plans to give 75% of the
money from all bracelet sales and donations to the shelter. She will use the
remaining money to buy more supplies. Bracelet sales and donations from
the first craft show are represented by the expression 24n + 32, where n
represents the amount Elsa charges for each bracelet. The second craft
show sales and donations is represented by the expression 40n + 56. If Elsa
charges $4 for each bracelet, how much money will she donate to the
Answer:
$258
Step-by-step explanation:
75% = 0.75 when we divide by 100 to convert a percentage to a decimal
75% of total sales = money donated
Total sales = sales from first show + sales from second show
= 24n+32 + (40n+56)
= 64n + 88
0.75 of (64n+88) = money donated
= 0.75 * (64n+88)
= 48n + 66
substitute 4 for n, as she charges $4 for each bracelet
money donated = 48*4 + 66 = 258
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
The cost of a dog walker for n hours is given by f(n)=5 +10n. Which statement is true
A for each additional hour of service, the price of the dog walker increases by $ 15
B for each additional hour of service, the price of the dog walker increases by $5
C for each additional hour of service, the price of the dog walker increases by $10
D for each additional hour of service, the price of the dog walker decreases by $10
Answer:
C for each additional hour of service, the price of the dog walker increases by $10
Step-by-step explanation:
substitute any hour in f(n)=5+10n
for example, 1hr is 5+10×1=$15
2hr is 5+10×2=$25
3hr is 5+10×3=$35
4hr is 5+10×4=$45
and so on....
you can see that the price increases every $10
write 321.51 to the nearest whole
Answer:
322.
Hope that helped. x
Step-by-step explanation:
We have 321.51,
So what we need to do is check the number straight after the decimal point and see if it is less than 5 or 5 and above. (5 and above mean increasing the number, less than 5 means decreasing the number.)
Since the number is 5 we change the 1 to a 2. So the answer is 322.
Find the domain of the function
Answer:
The answer is (-1,1)
Step-by-step explanation:
¯\_(ツ)_/¯
Given that (-5,-6) is on the graph of f(x), find the corresponding point for this function -1/3f(x).
Explanation:
We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.
I need help with this, can anybody help me? thank you, have. a great day!
Answer:a
Step-by-step explanation:
Answer:
As a mixed number, it is 3 5/8.
As an improper fraction it is 29/8.
Hope that helps you. x
21
4x + 5
E
חו
What is the value of x?
Answer:
don't know
Step-by-step explanation:
Marsha is driving 630 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
Answer:
Marsha has driven 252 miles
Step-by-step explanation:
In order to figure out the problem, you take the total distance and multiply it by the fraction she has gone. This would be 630*(2/5) which would equal 252. Thus, Masha has driven 252 total miles.
Hope this helps!
Answer: 252 miles
Step-by-step explanation:
It is for my final, please help!
Answer:
The answer will be the third one.
Step-by-step explanation:
Hope it helps
Solids X and Y are similar.
X has volume 64 cm3
Y has volume 343 cm3
The surface area of X is 176 cm2
Work out the surface area of Y.
Answer:
i think surface area of Y is 539 cm²
Simplify 1.25 (-x -4)
Answer:
-1.25x-5
Step-by-step explanation:
3/5 * 5/7 / 3/14 - 2/5
Answer:
3/5*5/7*14/3-2/5
8/5...
Surface area of cone 5ft by 21ft
Answer:
417.63
Step-by-step explanation:
What is the measure of angle DCE? Use numbers only.
Answer:
156 degrees
Step-by-step explanation
First we need to figure out what X is. To do that we set up the equation 7x+3=8x because vertical angles are congruent. After solving that we get x=3. We plug 3 back into each equation and we get that angle ACE equals 24. Since angle ACE and angle DCE are supplementary we know that they will equal 180 so we subtract 24 from 180 and get 156 as the final answer.
Hope this helps!