Answer:
Step-by-step explanation:
4 h × (70 mi)/h = 280 mi
280 mi × (1 h)/(50 mi) = 5.6 h
The time taken by him to arrive at City B will be 5.6 hours.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.
V x T = Constant
The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.
Let 't' be the time. Then the equation is given as,
t x 50 = 4 x 70
50t = 280
t = 280 / 50
t = 28 / 5
t = 5.6 hours
The time taken by him to arrive at City B will be 5.6 hours.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ6
PLEASE HELP GEOMETRY
Answer:
Step-by-step explanation:
What is the value of x?
Answer:
98%
Step-by-step explanation:
from the top of a tower 80m high, 2 boats are
seen in a direction due south. The angles of
depression of the boats from the top of the tower
are 30°and 45°respectively, find the distance
between the boat
Step-by-step explanation:
Height of tower - 80m
Distance between foot of tower and boat 1 = x
Distance between boat 1 and boat 2 =y
Tan 45 = 1 = 80/x
x = 80
Tan 30 = 1 / root 3 = 80 / 80 + y
y = 80 root 3 + 80
solve triangle. round to the nearest tenth
Answer:
37.5 ( i didn't round cause the answer looked simple already)
Step-by-step explanation:
formula for triangle is base x height divided by 1/2
Base(5) x Height(15) = 75 now divide by 1/2
75 divided by 1/2 = 37.5
(Could i have brainliest if i'm right?)
How much net work is required to accelerate a 1000 kg from 20 m/s to 30
m/s?
Answer:
Work= force(F) * distance (s)
weight is a force and so
F=weight=mass *acceleration due to gravity
=1000*10=10000N
S=?
To find s,
F= ma
a=F/m=10000/10
a=10m/s²
Using Newton's third equation of motion
v²= u²+2as
30²= 20²+2*10*s
900–400=20s
500=20s
s=500/20= 25m
Work =F*s
Work=10000*25
Work= 250000J or 250KJ
Step-by-step explanation:
please help. It’s really easy just the question is worded weirdly and I don’t get it.
Answer:
d
Step-by-step explanation:
Find the a10 for the sequence a n =(3)(2)^ n
All equilateral triangles are isosceles.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
This statement is true. The definition of an isosceles triangle is a triangle with at least two congruent sides. Since all equilateral triangles have three congruent sides, they fit the definition of an isosceles triangle.
True my friend
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How many ways are there to add three positive even numbers to get a sum of 20? Solve this
problem by making a systematic list, then state your solution.
Help!!!!! can you show your work too thanks
Answer:
no entender veri mucho......aaaa
Is x = -4 a solution to these equations? Show your work and write YES or NO.
1. 3(2x-4) = -36
2. 5x - 6x - x = 18
3. 5 - 2(3x - 1) = 31
Answer:
1. Yes
2. No
3. Yes
Step-by-step explanation:
We have three equations where x is equal to -4. We are then asked if -4 are a solution to these equations.
To solve we need to substitute the x in every equation for -4. Start :
1.
3(2(-4) - 4) = -36
3(-8 - 4) = -36
-24 - 12 = -36
Therefore -4 is a solution.
2.
5(-4) - 6(-4) - (-4) = 18
-20 + 24 + 4 = 18
4 + 4 = 18
8 ≠ 18
Therefore -4 is not a solution.
3.
5 - 2(3(-4) - 1) = 31
5 - 2(-12 - 1) = 31
5 - 2(-13) = 31
5 + 26 = 31
Therefore -4 is a solution.
Easton is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Easton have to pay for parking if he left his car
in the lot for 2 hours? How much would Easton have to pay if he left his car in
the lot for t hours?
Answer:
If he left the car in the lot for 2 hours, he would have to pay 14 dollars. if he left it for "t" hours, he would have to pay 11 + 3t dollars
Step-by-step explanation:
Think of it like this: "a" represents the total amount of money Easton will spend, t represents time in hours. $11 + $3*t = a
Through (4,-4) parallel to y=3
Answer:
y = -4
Step-by-step explanation:
Because y = b, b = -4, the equation would be written as y = -4.
Write an expression equivalent to 9(8x + 5) + 7
Answer:
72x+52
Step-by-step explanation:
72x+45+7=72x+52
Many fire stations handle emergency calls for medical assistance as well as those requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.81. This can be expressed as P(call is for medical assistance)
Answer: The is down there
Step-by-step explanation: Glad to help but hope it helps you.
Solve the Anti derivative.
Answer:
[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify: [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply: [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
Over a two hour time period a snail moved 50 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
Answer:
1.3 yards
Step-by-step explanation:
Answer:
1 7/18 yards or 1 14/36 yards.
Step-by-step explanation:
There are 36 inches in a yard, so you divide 50 by 36.
You get a variety of answers depending on what form you want it in:
1 yard 1 foot and 2 inches.
1 yard and 14 inches.
These two answers take two forms as fractions of 36:
1 14/36 yards
or simplified: 1 7/18 yards.
Work out the value of angle x.
Х
110 degree
Answer:
40 degrees
Step-by-step explanation:
the bottom angles are 70 each because you can find one of them by subtracting 110 from 180 (110 is an exterior angle to one of the bottom sides). The other is also 70 because the triangle is an isosceles. Then, subtract 70*2 from 180 to get 40 degrees for x (the remaining side).
You select 6 cards randomly from a deck of 52 cards. What is the probability that all of the cards selected are face cards
Answer:
Step-by-step explanation:
There are two different techniques that I can think of for arriving at the answer. The first method utilizes combination, sometimes referred to as the “choose” operator. First, we need to know how many 6 cards hands are possible, which can be calculated using 52 choose 6, which in notation looks like (526) =20,358,520 . This is our denominator.
Now that we know how many total 6 cards hands there are in a normal deck, we need to find the numerator, which is how many 6-card hands can be made up of all hearts. Since there are 13 hearts in the deck, we can find that number with (136) =1,716 .
Completely written out in mathematical notation, the probability of drawing 6 cards that are all hearts, appears as follows:
(136)(526)=171620358520≈0.0000843≈0.00843%
__________________________________________________
The second method that results in the same value can be found by multiplying together the chances of drawing the individual cards at each step, for example, there is a 1352 chance of the first card drawn being a heart, 1251 for the second, and so on.
This second method looks like:
1352×1251×1150×1049×948×847≈0.0000843≈0.00843
Incidentally, 13!46!7!52! is another way to notate this second method.
Personally, I find the first method to be cleaner and easier to work with, but some may find the second more intuitive.
Answer: 11/51
Step-by-step explanation: After you've picked the first card, if it's a face card then there are only 11 faces cards left, out of a total of 51. So the probability of the next card also being a face card is 11/51.
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800 lbs of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
i did it on RSM and got it right
Gwen takes out a loan of $400 to pay for an online course. Flat rate interest is charged at 8% p.a
If she repays the loan in 3
months, how much interest does she pay in total?
We know, 1 year = 12 month.
So, 3 month = 3/12 = 0.25 year.
Now, principle amount, P = $400 .
Rate is, r = 8% = 0.08
Time period, t = 0.25 year.
Now, Interest is given by :
I = P × r × t
I = $( 400 × 0.08 × 0.25 )
I = $8
Therefore, she will pay $8 interest in total.
What’s the answer please help if you see this thank you?
Answer:
60
Step-by-step explanation:
8x6=48
3x4=12
48+12=60
Write an equation for 15 is 15% of what number? Use x for your variable
Reading through the problem, we have "15 is",
that's "15 =", 15%, 15/100, "of", times, "what number", x.
So our equation reads 15 = 15/100 · x.
What is the area of a rectangle that is 4 inches by 2 inches?
Answer:
8
Step-by-step explanation:
What is the area of a circle with a diameter of 34 mi? Use 3.14 for n
O 213.52 mi2
0907.46 mi2
O 106.76 mi2
0 3629.84 mi2
Answer:
907.46
Step-by-step explanation:
diameter = 34
radius = 17 (half of diameter)
A=πr^2
HOPE THIS HELPS PLZ MARK BRAINLIEST! :)
Find the product.
902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354
Help please! Could you explain it too?
Answer:
a) not proportional
b) proportional; k = [tex]-\frac{3}{5}[/tex]
Step-by-step explanation:
a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).
Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.
Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.
b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.
y = -(3/5)x fits with y = kx, with k being -3/5
URGENT HELP 30 POINTS
Answer:The answer is pride 5
Step-by-step explanation:
how do you solve 0.7n-1.5+7.3n=14.5
Answer:
n = 2
Step-by-step explanation:
Answer:
n = 2
Step-by-step explanation:
0.7n-1.5+7.3n=14.5
Add like terms
(0.7n + 7.3n) + (-1.5) = 14.5
8n -1 .5 = 14.5
Add 1.5 to both sides.
8n =1 6
Divide both sides by 8.
n = 2
Solve the following rational equation for x.
2x-3/5 = x-2/4
Answer:
x=0.1
Step-by-step explanation:
10. Carl wants to buy a television that costs $400,
including taxes. To pay for the television, he will use
a payment plan that requires him to make a down
payment of $150, and then pay $70.50 each month
for 6 months. What is the percent increase from the
original cost of the television to the cost of the
television using the payment plan?
Calculate the total he will pay:
70.50 x 6 months = 423
423 + 150 = 573
He pays a total of 573
Find the difference from what he pays to what the actual price was:
573 - 400 = 173
Divide the difference by the actual price:
173 / 400 = 0.4325
Multiply by 100:
0.4325 x 100 = 43.25% increase