Answer:
I like doods
Step-by-step explanation:
Pp + pp
It would take ___ hours to drive 240 miles from Boston to New York, if one drives at a constant speed of 40 mph.
Answer:
6 hours.
Step-by-step explanation:
To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.
Answer:
6 hours
Explanation:
240/40= 6
Plz help me with this it’s really important
Answer:
axis of symmetry is 2
vertex is (2,-4)
Step-by-step explanation:
I hope this helps.
The slope of a line is 0, and the y-intercept is 6. What is the equation written in slope intercept form.
Answer:
y=0x+6
Step-by-step explanation:
slope intercept form is: y=mx+b
For the function f(x) = 1/4e^-x + e^x, prove that the arc length on any interval has the same value as the area under the curve.
Take an arbitrary interval [a, b], where a < b.
Compute the arc length L of y = f(x) over [a, b] :
[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]
Now comptue the area A under the curve y = f(x) over [a, b] :
[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]
We have
f (x) = 1/4 e ⁻ˣ + e ˣ → f ' (x) = -1/4 e ⁻ˣ + e ˣ
Then
√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)
… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)
… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)
… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)
… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)
… = 1/4 (e ⁻ˣ + 4 e ˣ)
… = 1/4 e ⁻ˣ + e ˣ
… = f (x)
so both A = L for any choice of interval [a, b].
It is true that the arc length on any interval has the same value as the area under the curve.
How to prove the statementThe function is given as:
[tex]f(x) = \frac 14e^{-x} + e^x[/tex]
Differentiate the function
[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]
On any interval, the following must be true
[tex]f(x) =f'(x)[/tex]
and
[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]
So, we have:
[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]
Expand the exponents
[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]
Remove the bracket
[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]
Evaluate the like terms
[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]
Multiply by 16/16
[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]
So, we have:
[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]
Take the square root of 1/16
[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]
Express the radical as a perfect square
[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]
Evaluate the exponents
[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]
Evaluate the products
[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]
Hence, it has been proved that the arc length on any interval has the same value as the area under the curve.
Read more about areas at:
https://brainly.com/question/24487155
calculate by rounding off and compensating 823-273
In Littletown, the probability that a baseball team goes to the city playoffs is
0.20. The probability that the team goes to the state playoffs given that the
team goes to the city playoffs is 0.50.
What is the probability that a randomly selected team from Littletown goes to
the city and state playoffs?
A. 0.15
B. 0.25
C. 0.10
Ο Ο
D. 0.20
SUBMIT
Answer:
C. 0.10
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Goes to the city playoffs
Event B: Goes to the state playoffs.
In Littletown, the probability that a baseball team goes to the city playoffs is 0.20.
This means that [tex]P(A) = 0.2[/tex]
The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0.50.
This means that [tex]P(B|A) = 0.5[/tex]
What is the probability that a randomly selected team from Littletown goes to the city and state playoffs?
This is [tex]P(A \cap B)[/tex]. So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(A)*P(B|A) = 0.2*0.5 = 0.1[/tex]
The correct answer is given by option C.
Answer each question below 26. A pair of shoes that normally costs $85 is now on sale for 45% off. What is the sale price of the shoes?
27. After Christmas, I was able to buy lights for 60% off. How much did I pay for lights that normally cost $12?
28. This past weekend, I went to Bed, Bath & Beyond to purchase a new frying pan. I was able to use a 20% off
coupon on one item. The frying pan was originally $40. What is the sale price of the frying pan?
29. When eating at a restaurant, it is recommended that you leave a 15% tip. If my bill was $24, how much
should I leave as a tip?
Answer:
26. $46.75
27. $4.80
28. $32.00
29. $3.60
4) You randomly select one card from a 52-card deck. Find the probability of selecting the 6 of hearts or the ace of diamonds.
Answer:
1/26
Step-by-step explanation:
There is only one 6 of hearts and only one ace of diamonds.
The probability of selecting the 6 of hearts is thus 1/52, and that of selecting the ace of diamonds is also 1/52.
The probability of selecting the 6 of hearts or the ace of diamonds is the SUM of these two results: 1/52 + 1/52 = 2/52 = 1/26.
Find the area of the trapezoids
Answer:
I need help in math too so
Answer:
120 units²
Step-by-step explanation:
A= [tex]\frac{a+b}{2}[/tex]×h
A= [tex]\frac{15+15}{2}[/tex]×8
A= [tex]\frac{30}{2}[/tex]×8
A= 15×8
A= 120
Perform the following subtraction - 1/2 - (- 7/10)
Answer:
1.2
I t is the answer
A rocket is launched vertically from the ground with an initial velocity of 64 ft/sec. A) Write a quadratic function h(t) that shows the height, in feet, of the rocket t seconds after it was launched. B) Graph h (t) on the coordinate plane. C) Use your graph from Part 3 (b) to determine the rocket's maximum height, the amount of time it took to reach its maximum height, and the amount of time it was in the air. ( Answer options A,B,C) Please don't answer if you don't know how to) Will Mark Brainliest.
The calculated quadratic function for the height of the rocket is "[tex]h = 64t - 16.085t^2[/tex]" and the further calculation of the given points can be defined as follows:
For point A):
Calculation of the quadratic function:Rocket Initial velocity (u) [tex]= 64 \ \frac{feet}{sec}[/tex]
Considering gravity's acceleration of 32.17 feet/sec2
The rocket's height can be expressed as follows:
[tex]h = ut - \frac{1}{2} \times 32.17 \times t^2 \\\\h = 64 - 16.085 \times t^2 \\\\h = 64t - 16.085t^2[/tex]
For point B):
A y-axis indicates its rocket's height in feet, whereas the x-axis represents the duration in seconds.
Please find the attached file.
For point C):
As seen in the graph, after t = 1.989 seconds, the rocket reaches its highest height of 63.662 feet.maximum height = 63.66 feet, time t = 2 seconds. After 3.979 seconds, the rocket's height returned to zero.It would be in the air for 3.979 seconds. The rocket lingered in the air for 4 seconds.
Find out more information about the velocity here:
brainly.com/question/25749514
(5^{-8})(5^{-10})=(5
−8
)(5
−10
)=
Answer:
1
3814697265625
Decimal Form:
2.62144 ⋅ 10 / 13
Step-by-step explanation:
Jim rent a car for the weekend can choose 1 of 2 plans the first plan has $55 initial cost an additional 0.80 per mile driven The second plan has no on the song say what it cost $0.90 per mile driven how many miles would you need to drive for the two plans to cost the Same 
You need to make 56 servings of Caesar dressing.
Each serving takes 2 teaspoons of crushed garlic.
How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons of crushed garlic
Step-by-step explanation:
56•2=112
if 70kg is 20% of peter's weight, then what is peter's total weight!?
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. what is the commission?
Answer:
$22.05
Step-by-step explanation:
If a product has a sales commission, then one must divide the commission percent by (100) to convert the percent to a decimal. Then multiply the result by the price of the product to find the amount of money that will be given as a commission.
Applying this knowledge to the given problem, one must divide (9%) by (100) to convert to decimal form,
9% / 100 = 0.09
Now multiply the result by the price of the product (245) to find the amount given away in commission,
0.09 * 245 = 22.05
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
9514 1404 393
Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
a farmer has 80 yards of land east and 100 yards west
Answer: 8000?
Step-by-step explanation:
If your asking the area of his land, 800 yards
Total of 180 I guess? What are you trying to askkk?
The owner of Lakewood Mall wants to know the number of people who shop at the mall more than once a week. He surveys 9696 customers and finds that 2424 of them shop at the mall more than once a week. What is the probability that the next person he surveys shops at the mall more than once a week?
Answer:
go make me a sandwhich you witch
Step-by-step explanation:
Multiply 15 by 9 then divide by 2 fraction
Answer:
15x9 is 130 but, what u mean by divided by 2 fraction?
Step-by-step explanation:
135/ 2 this is correct unless you want a mixed fraction which is 67 and 1/2
Rewrite the Cartesian equation y=-3 as a polar equation.
r
sin
θ
=
−
3
Explanation:
Imagine we have a point
P
with Rectangular (also called Cartesian) coordinates
(
x
,
y
)
and Polar coordinates
(
r
,
θ
)
.
The following diagram will help us visualise the situation better:
https://keisan.casio.com/exec/system/1223526375
https://keisan.casio.com/exec/system/1223526375
We can see that a right triangle is formed with sides
x
,
y
and
r
, as well as an angle
θ
.
We have to find the relation between the Cartesian and Polar coordinates, respectively.
By Pythagora's theorem, we get the result
r
2
=
x
2
+
y
2
The only properties we can say about
θ
are its trigonometric functions:
sin
θ
=
y
/
r
⇒
y
=
r
sin
θ
cos
θ
=
x
/
r
⇒
x
=
r
cos
θ
So we have the following relations:
⎧
⎪
⎨
⎪
⎩
r
2
=
x
2
+
y
2
y
=
r
sin
θ
x
=
r
cos
θ
Now, we can see that saying
y
=
−
3
in the Rectangular system is equivalent to say
r
sin
θ
=
−
3
Answer link
Jim G.
May 19, 2018
r
=
−
3
sin
θ
Explanation:
to convert from
cartesian to polar
∙
x
x
=
r
cos
θ
and
y
=
r
sin
θ
⇒
r
sin
θ
=
−
3
⇒
r
=
−
3
sin
θ
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
Help me but i am gonna know the answer cause i know it
Answer:
D. 12
Step-by-step explanation:
93/3 = 31
155/5 = 31
248/8 = 31
In every case, you see that the number of pages is 31 times the number of hours.
For 372 pages, the number of hours is 372/31 = 12
Check: 372/12 = 31
Answer: D. 12
The graph shows the distance in miles, d, a car travels in hours. Explain why the graph does or does not represent a proportional relationship between the variables d and t.
Answer:
The graph shows a proportional relationship because t=50, and that pattern follows.
Step-by-step explanation:
The graph shows a proportional relationship because t=50, and that pattern follows.
The graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
What is the speed of a body?The speed of a body is the rate at which it covers the total distance in the time taken. The speed of the body is given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the body and (t) is the time taken by the body to cover that distance.
The graph shows the distance in miles, d, a car travels in hours. Rewrite the above formula, considering it for the car,
[tex]s=\dfrac{d}{t}\\t\times s={d}[/tex]
In this formula, distance in miles, d, is directly proportional to the time taken by car in hours.
It is because as the car moves, the time start to pass and so the distance car start to cover the distance. In more time, the car will cover more distance with same speed.
Thus, the graph represent a proportional relationship between the variables d and t as distance in miles, d a car travels is proportional to the time in hours t.
Learn more about the speed here:
https://brainly.com/question/359790
#SPJ2
Estimate 85.77-62.396 by first rounding each number to the nearest whole number
Answer:
24
Step-by-step explanation:
85.77-62.396 estimated by rounding each number to the nearest whole number is 24. I got this by first rounding 85.77 to 86. I then rounded 62.396 to 62. Next, I did 86-62= 24.
So, the answer is 24.
Answer:
23.000
Step-by-step explanation:
8-6=2
5-2=3
So you know that 23.000 is the roaded answer, you can just ignore the digits behind the decimal point in order to round
Janessa is playing a board game with two friends. Using a single die, one friend rolled a four, and the other friend rolle
a three. Janessa needs to roll a number higher than both friends in order to win the game, and she wants to calculate
her probability of winning.
How many desired outcomes should Janessa use in her probability calculation?
A. 3
B. 6
C. 4
D. 2
Answer:
D. 2
Step-by-step explanation:
The only possible outcomes that Janessa could possibly calculate would be 5 and 6. This is because a single die has 6 possible outcomes. If Janessa's friends rolled a 3 and a 4, and Janessa needs to roll something higher, then the only higher possible outcomes would be a 5 or a 6. Meaning that Janessa can only use a total of 2 desired outcomes for her to actually win the game.
Answer:
sorry i need more points
Step-by-step explanation:
6 x 10^4 how many times as great as 3 x 10^7
Answer:
one
Step-by-step explanation:
ayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches? A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches. Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height. Inches cubed
Answer:
[tex]64(in)^{3} [/tex]
Step-by-step explanation:
The volume of a box is equal to the length l times the width w times the height h.
[tex](lenght) \times (width) \times (height)[/tex]
Substitute the values of the length l=8, the width w=2, and the height h=4 into the formula.
[tex]8 \times 2 \times 4[/tex]
Multiply 8 by 2.
[tex]16 \times 4[/tex]
Multiply 16 by 4.
[tex]64 {in}^{3} [/tex]
Hence, the volume of the rectangle prism is 64(in)³.
Answer:
64 in³Step-by-step explanation:
Given dimensions:
l = 8 inw = 2 inh = 4 inVolume of the prism is:
V = lwhV = 8*2*4 = 64 in³find the area of the shade sector of the circle
Step-by-step explanation:
We need to find the area of the shaded region. We see that the region next to that has a central angle of 120°. Also we know that angle in a straight line is 180° . So the measure of central angle of that shaded region will be 180° - 120° = 60° . Now we can use the formula of area of sector to find out the area of the shaded region.
[tex]\tt\to Area = \dfrac{\Theta}{360^o}\times \pi r^2 \\\\\tt\to Area = \dfrac{60^o}{360^o}\times \pi (8cm)^2 \\\\\tt\to Area =\dfrac{\pi \times 64}{6}cm^2\\\\\to\boxed{\orange{\tt Area_{(Shaded)}= 10.66\pi cm^2}}[/tex]
What are the ordered pairs of the solutions for this system of equations?
Answer:
( 4, 11 ) , ( - 4, 27 )
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = - 2x + 19
x² - 2x + 3 = - 2x + 19
x² - 16 = 0
( x + 4 )( x - 4 ) = 0
[tex]x_{1}[/tex] = - 4
[tex]x_{2}[/tex] = 4
f(x) = [tex]y_{1}[/tex] = - 2( - 4 ) + 19 = 27
[tex]y_{1}[/tex] = 27
f(x) = [tex]y_{2}[/tex] = - 2( 4 ) + 19 = 11
[tex]y_{2}[/tex] = 11
( 4, 11 ) , ( - 4, 27 )