Replace r in the equation with 55 mph and solve for d.
D = 0.045(55)^r + 1.1(55)
Simplify:
D = 0.045(3025) + 60.5
D = 136.125 + 60.5
D = 196.625
At the speed limit of 55 mph the skid mark would be 196.625 feet long.
Because the skid mark was greater than that it was going faster than 55 mph.
To find the speed the car was going replace d with 250 and solve for r:
250 = 0.045r^2 + 1.1r
Multiply both sides by 1000 to remove decimals:
250000 + 45r^2 + 1100r
Subtract 250000 from both sides
45r^2 + 1100 -250000 = 0
Use the quadratic formula to solve:
R = -1100 + sqrt(1100^2 14x45(-250000) /(2 x45)
R = 63.308 miles per hour
The speed of the car was 63.3 miles per hour
Simplify the expression
Answer:
6
Step-by-step explanation:
3 sqrt(20) / sqrt(5)
We know that sqrt(a) /sqrt(b) = sqrt(a/b)
3 sqrt(20/5)
3 sqrt(4)
3 *2
6
Helppppo plsssssssssss I need helppp with thissss
Answer:
82 is what r equals
Step-by-step explanation:
So, lets go over what we know:
D equals rt, or r * t:
D=r*t
The table shows:
t=2 - d=164
t=3 - d=246
These are the only 2 values we need to look at.
We know that D= r*t, and we can just plug in the values found in the table for t and d to solve for r. So:
164= r * 2
Divide both sides by 2 to iscolate r:
82=r
So it seems like r is equal to 82, however this might be exponential or inaccurate, so lets double check witht the nexty values on the table:
246=r*3
Divide by 3 to iscolate the r:
82=r
So we know that r must equal 82.
Hope this helps!
Which equation represents a line that passes through (5, 1) and has a slope of ?
O y-5 = {(x-1)
Oy- } = 5(x –1)
Oy-1 = {(x–5)
Oy - 1 = 5(x-)
Answer:
y - 1 = 5(x - 5)
Step-by-step explanation:
Given the following data;
Points (x, y) = (5, 1)
Slope = ?
From the question, the value of the slope is missing. Hence, let's assume a value of 5.
Mathematically, the equation of a straight line is given by the formula;
y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
To find the equation of line, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 1 = 5(x - 5)
y - 1 = 5x - 25
y = 5x - 25 + 1
y = 5x - 24 = mx + c
Is AABC-ADEP? If so, identify the similarity postulate or theorem that
applies.
B
16
105°
5-105
4
36
A
C
D
9
F
I
Answer:
D. cannot be determined
Step-by-step explanation:
that is kind of a trick question.
right based on the given information none of the 3 methods can be applied.
we don't have all 3 sides for SSS
we don't have 2 angles for AA
and we don't have 2 sides with their included angle for SAS.
but it can still be determined (they ARE similar), as this is a special case of SSA, where it is clear that the corresponding congruent angles are located at the same position relatively to the corresponding similar lines.
you can discuss this with your teacher, if you are interested.
AND - we can easily determine any of the other missing pieces (side and angles). these missing pieces then will correspond exactly to their counterparts in the other triangle (the 2 angles in ABC are equal to the 2 angles in DEF, the missing sides file the same scaling factor as the other known sides). and then any of the 3 methods can be applied.
so, this is actually tricky ...
If you become a. . what Will you do
Answer:
if you becomes a.. what is this mean
Answer:
i have no idea
Step-by-step explanation:
i dont think turning into a virtual period will let me do anything. If you can clarify please let us know!
k+8
4) 3 =
3
Please help me
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{3 = \dfrac{k +8}{3}}[/tex]
[tex]\rightarrow\mathsf{\dfrac{k+8}{3}=3}[/tex]
[tex]\large\textsf{MULTIPLY by 3 to BOTH SIDES}[/tex]
[tex]\mathsf{3\times3=\dfrac{k+8}{3}\times3}[/tex]
[tex]\large\textsf{Work out the equation above to get to the next step}[/tex]
[tex]\large\textsf{We get: }\mathsf{k + 8 = 9}[/tex]
[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]
[tex]\mathsf{k +8-8=9-8}[/tex]
[tex]\large\textsf{CANCEL out: 8 - 8 because that gives you 0}\\\\\\\\\large\textsf{KEEP: 9 - 8 because that gives you the value of k.}[/tex]
[tex]\mathsf{k = 9 -8}[/tex]
[tex]\mathsf{9-8=\boxed{k}}[/tex]
[tex]\mathsf{9-8=\boxed{\large\textsf{\bf 1}}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge k = \bf 1}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
2) Phủ định hai phán đoán ở phần 1) (viết dưới dạng câu văn hoàn chỉnh).
Answer:
Step-by-step explanation:
Find the volume of a sphere with a surface area of 400 square feet.
Answer:
V≈752.25ft
Step-by-step explanation:
please mark me brain list
Answer: the volume of the sphere would be precicely be 752.25278
Step-by-step explanation: yeah, i guess this is just a run and search kind of question, the formula to find it was:
A=4πr2
V=4
3πr3
Solving forV
V=A3/2
6π=4003/2
6·π≈752.25278
Y= abx that goes through points (0,13) and (2,325)
Answer:
[tex]y = 13(5)^x[/tex]
Step-by-step explanation:
We are given the following exponential function:
[tex]y = ab^x[/tex]
(0,13)
This means that when [tex]x = 0, y = 13[/tex]. So
[tex]y = ab^x[/tex]
[tex]13 = ab^0[/tex]
[tex]a = 13[/tex]
Then
[tex]y = 13b^x[/tex]
(2,325)
This means that when [tex]x = 2, y = 325[/tex] We use this to find b. So
[tex]y = 13b^x[/tex]
[tex]13b^2 = 325[/tex]
[tex]b^2 = \frac{325}{13}[/tex]
[tex]b^2 = 25[/tex]
[tex]b = 5[/tex]
Thus
[tex]y = 13(5)^x[/tex]
The sum of two numbers is 12 The product of the smaller
umber and 3 is -6. Find
the numbers
Answer:
-2 and 14
Step-by-step explanation:
-2×3=-6-2+14=12The numbers are -2 and 14
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
given
Let smaller number be x and larger number be y
x * 3 = -6
x = -6/3 = -2
x+y = 12
-2 + y = 12
y = 12+2 = 14
to learn more about algebraic expression refer to:
https://brainly.com/question/4344214
#SPJ2
some 1 help me plz its algebra 1
Christen returned an overdue book to the library. Her fine was the same as the amount on the following day. Out of the fines shown below, which one would be closest to the number of days overdue?
Answer: 21 days overdue
Explanation: Since her fine was same as the amount on the following day. 21 will be closest to the number of day overdue so it is 21 days.
Answer:
22
Explanation:
They are saying that it has to be the closest number to the number of days overdue, cannot be neither 10 nor 14, and it cannot be 18 because that's one day from the days it's been overdue, and the question is saying: Her fine was the same as the amount on the following day. The graph shows us that it is about 1 more day than 18, so the only reasonable answer here is 22.
Also, I got it correct on edg =)
Helpppppppppppp pleaseeeeeeeeee
Answer:
it is b
Step-by-step explanation:
Answer:
B. [tex]x=24[/tex]
Step-by-step explanation:
We can start by isolating the square root by adding one to both sides:
[tex]-1+\sqrt{3x-8} =7\\\sqrt{3x-8}=8[/tex]
Now, we can square both sides and solve:
[tex]3x-8=64\\3x=72\\x=24[/tex]
You measure 37 dogs' weights, and find they have a mean weight of 69 ounces. Assume the population standard deviation is 9.2 ounces. Based on this, construct a 90% confidence interval for the true population mean dog weight.Give your answers as decimals, to two places_______ ± ________ ounces (Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 ; Enter DNE for Does Not Exist, oo for Infinity)
Solution :
Given :
mean weight of the dogs, [tex]$\overline x$[/tex] = 69
Number of dogs, n = 37
Standard deviation, σ = 9.2
Confidence interval = 90%
At 90% confidence interval for the true population mean dog weight is given by :
[tex]$= \overline x \pm \frac{\sigma}{\sqrt n} \times z_{0.05}$[/tex]
[tex]$= 69\pm \frac{9.2}{\sqrt_{37}}} \times 1.64485$[/tex]
[tex]$=69 \pm 2.487799$[/tex]
= (66.5122, 71.4878)
Eighty percent of one store’s customers paid with credit cards. Forty customers came in that day. How many customers paid for their purchases with credit cards?
Answer:
32
Step-by-step explanation:
40 = 100%
how many are 80% ?
well, 80% = 80× 1%
1% = 100% / 100
so, in our case
80% = 80×40/100 = 8×4 = 32
as a shortcut you consider a percentage x as a ratio factor of x/100 you multiply the 100% number with.
in our case
80% = 40 × 80/100 = 32
In a random sample of 150 customers of a high-speed internet provider, 63 said that their service had been interrupted one or more times in the past month. Find a 95% confidence interval for the proportion of customers whose service was interrupted one or more times in the past month.
Answer:
The correct answer is "0.3410, 0.4990".
Step-by-step explanation:
Given values are:
[tex]n=150[/tex]
[tex]p=\frac{63}{150}[/tex]
[tex]=0.42[/tex]
At 95% confidence interval,
C = 95%
z = 1.96
As we know,
⇒ [tex]E=z\sqrt{\frac{p(1-p)}{n} }[/tex]
By substituting the values, we get
[tex]=1.96\sqrt{\frac{0.42\times 0.58}{150} }[/tex]
[tex]=1.96\sqrt{\frac{0.2436}{150} }[/tex]
[tex]=0.0790[/tex]
hence,
The confidence interval will be:
= [tex]p \pm E[/tex]
= [tex]0.42 \pm 0.079[/tex]
= [tex](0.3410,0.4990)[/tex]
Pls help I really need help beg you you
Answer:0,5
Step-by-step explanation:
Which of the following value are in the domain of the function graphed below?
Answer:
look at the domain, where the line is on the x-axis
Step-by-step explanation:
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is placed back in the
bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter
========================================================
Explanation:
There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)
The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.
We use the idea mentioned in the hint to multiply the fractions:
(3/10)*(3/10) = (3*3)/(10*10) = 9/100
The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.
Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.
Use roster notation to name the set of all letters in the word "more".
The set of all letters in the word "more" is { }
9514 1404 393
Answer:
{e, m, o, r}
Step-by-step explanation:
Perhaps most straightforward is the simple list in order of appearance.
{m, o, r, e}
Often, we prefer rostered sets to be in lexicographical order:
{e, m, o, r}
How do you get total cost from price of $2.75 and qty demanded of 1250
Answer:
$3437.5
Step-by-step explanation:
Given data
Unit cost= $2.75
qty demanded= 1250
To get to the total, we have to multiply the quantity by the unity cost
=2.75*1250
=$3437.5
Hence the total cost is
$3437.5
Does crime pay? The FBI Standard Survey of Crimes showed that for about 80% of all property crimes (burglary, larceny, car theft, etc.), the criminals are never found and the case is never solved.† Suppose a neighborhood district in a large city suffers repeated property crimes, not always perpetuated by the same criminals. The police are investigating nine property crime cases in this district.
Answer:
The appropriate answer is "11 crimes".
Step-by-step explanation:
Let,
The number of crimes be "n".
Now,
⇒ [tex]P(solved \ at \ least \ one) = 1-P(solved \ none \ of \ n)[/tex]
or,
⇒ [tex]1-(0.8)^n>0.9[/tex]
⇒ [tex](0.8)^n<0.1[/tex]
By taking log both sides, we get
⇒ [tex]n>=\frac{log(0.1)}{log(0.8)}[/tex]
By putting the values, we get
⇒ [tex]n>=10.31[/tex]
[tex]n=11 \ crimes[/tex]
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
Answer:
height = (3x + 3)
Step-by-step explanation:
area of rectangular prism = length *breadth
2x^2 + 3x = length*breadth
volume of a rectangular prism = length * breadth *height
6x^3 + 13x^2 + 6x = (2x^2 + 3x) *height
x(6x^2 + 13x + 6) = x(2x + 3) *height
a nd x gets cancel . So,
(6x^2 + 13x + 6) = (2x + 3) *height
6x^2 + (9 + 4)x + 6 = (2x + 3) *height
6x^2 + 9x + 4x + 6 = (2x + 3) *height
3x(2x +3) +2(2x +3) = (2x + 3) *height
(3x + 2)(2x + 3) = (2x + 3)*height
(3x + 2)(2x + 3) / (2x + 3) = height
(2x + 3 ) of numerator and (2x + 3) of denominator gets cancel
(3x + 3) / 1 = height
(3x + 3) = height
what are the adjectives in this sentence: the class cheered when Sonia had finished reading her funny poem.
Solve the simultaneous equations.
Show all your working.
3x + 4y = 14
5x+2y=21
Step-by-step explanation:
hear is your answer in attachment
m26 is (2x - 5) and m_8 is (x + 5)º
What is m 3?
12
9
3 4
56
78
Answer:
12
Step-by-step explanation:
12 is the coefficient
Answer these questions about the right triangle.
What is the area of the square of the leg 6?
What is the area of the square of the leg 8?
What is the area of the hypotenuse square?
What is the length of the hypotenuse?
9514 1404 393
Answer:
366410010Step-by-step explanation:
The area of a square is the square of the side length. Then the side length is the square root of the area.
6² = 36 . . . area of the square of leg 68² = 64 . . . area of the square of leg 836+64 = 100 . . . sum of the two leg squares = area of hypotenuse square√100 = 10 . . . hypotenuse lengthPLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
PLS PROVIDE A STEP BY STEP EXPLANATION! ❤️
if 4 gallons of milk cost $11, how much would 7 gallons cost?
Answer:
$19.25
Step-by-step explanation:
11 ÷ 4 = $2.75 this is the cost per gallon of milk
2.75 * 7 = $19.25 this is the cost for 7 gallons of milk
Hope this helps
Answer:
$ 19.25
Step-by-step explanation:
Milk(gallons) Cost
4 11
7 x
[tex]\frac{4}{7} = \frac{11}{x}\\\\4 \times x = 11 \times 7\\\\4x = 77\\\\x = \frac{77}{4} = \$ 19.25[/tex]
The cost of K-12 education per student was $2200 in 1978 and increased to $10,300 in 2008. (Source: Department of Education). (a) Find a linear equation that models these data. Let C represent the cost per student and x represent the number of years after 1978.
Answer: [tex]C=270x+2200[/tex]
Step-by-step explanation:
Given
Cost per student in the year 1978 is $2200
The cost increases to $10,300 in 2008
Suppose [tex]C=mx+a[/tex] is the linear equation defining the cost per student after x years
Substitute the value for 1978
[tex]\Rightarrow 2200=m(0)+c\\\Rightarrow c=2200[/tex]
After 30 years it becomes
[tex]\Rightarrow 10,300=m(30)+2200\\\Rightarrow 30m=8100\\\Rightarrow m=270[/tex]
Thus, the linear equation becomes
[tex]\Rightarrow C=270x+2200[/tex]