Answer:
The three Rational between 3 and 4
A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.
Step-by-step explanation:
Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.
[tex] \frac{6}{11} - \frac{ - 7}{11} [/tex]
[tex] \frac{6 - ( - 7)}{11} [/tex]
[tex] \frac{6 + 7}{11} [/tex]
[tex] \frac{13}{11} [/tex]
A plane flies from Los Angeles west to Paradise Isle and returns. During both flights there is a steady upper air wind from the west at 80 mph. If the trip west to Paradise Isle took 17 hours and the return trip to Los Angeles took 13 hours, what was the plane's average airspeed?
Answer: [tex]589.33\ mph[/tex]
Step-by-step explanation:
Given
Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.
Wind from west is 80 mph
Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.
Suppose the speed of plane is
[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]
Suppose the distance is x
[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]
Average speed is
[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]
Answer:
The speed of plane is 600 mph.
Step-by-step explanation:
Let the distance is d.
Speed of wind , u = 80 mph
Time, t = 17 hours
time, t'= 13 hours
Let the speed of airplane is v.
distance = speed x time
d = (v + u) x 13= (v - u) x 17
(v + 80) x 13 = (v - 80) x 17
13 v + 1040 = 17 v - 1360
4 v = 2400
v = 600 mph
Vince weights 160, and his friend Nadir weights 140 pounds. Nadir calculated that his weight on another planet would be about 56 lb. Approximately what would weigh on the other planet?
Answer:
64 lb
Step-by-step explanation:
you can solve this problem by using a proportion, then cross multiply and divide. (better explained in yt videos).
help can you please help question a b and c
(with the working out)
Answer:
a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ
Step-by-step explanation:
a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time
b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town
c) answer may differ
pls thank me and mark brainliest if you can
i really need someone’s help on this one asap.
Answer:
(3,-19)
Step-by-step explanation:
To find the approximation where both functions equal, find where both lines intersect at. Both lines intersect in the Fourth Quadrant so The first 2 are wrong.
The y coordinate is lesser than -10 so the 4th one is wrong.
The answer is (3,-19)
Explanation:
The solution to f(x) = g(x) is where the f(x) and g(x) curves cross, aka the intersection point.
Based on the graph alone, it's a bit tricky to tell where they cross. Luckily, your teacher gave you multiple choices to pick from. We can rule out choices A and B since x < 0 here, but the x coordinate of the intersection is positive.
Choice D can be ruled out because the intersection point has a y coordinate such that -20 < y < -15. It looks like y is much closer to -20 than it is to -10. So there's no way to have y = -8 happen.
The only thing left is choice C. It appears that the intersection point could be (3,-19).
**who can help me**
Answer:
.
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
1st option.
0 to 100 miles per hour
Step-by-step explanation:
as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.
Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.
out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).
so the domain is
0 to 100 miles per hour.
Answer:
(A) 0 to 100 miles per hour
Step-by-step explanation:
The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.
The only answer that is related to the speed is the first answer choice.
Hope that helps (●'◡'●)
The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x) . If F(x) = x ^ 3 , which of the following could be the equation of G(x) ?
Given:
The function is:
[tex]F(x)=x^3[/tex]
To find:
The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).
Solution:
The transformation is defined as
[tex]g(x)=kf(x+a)+b[/tex] .... (i)
Where, k is stretch factor, a is horizontal shift and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.
In option A, [tex]0<k<1[/tex] and [tex]a<0[/tex]. So, this option is correct.
In option B, [tex]0<k<1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.
In option C, [tex]k>1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.
In option D, [tex]k>1[/tex] and [tex]a<0[/tex]. So, this option is incorrect.
Therefore, the correct option is A.
In a clinic, a doctor charges Rs 1200 for every 15 minutes. If he attends to the clinic 2 hours per day for seven days, how much will he earn during a week?
Answer:
67,200 (please note you did not specify the currency this is figured in so that is important to include in your answer. If this answer is in dollars, then make sure you add a dollars sign and specify "dollars" in your answer. If it is in another currency then put that in).
Step-by-step explanation:
First, we need to figure out how much the doctor makes per hour. Since there are 4, 15 minute billing periods per hour, we multiple to find the hourly billing charges:
4[tex]4*1200=4800[/tex] (this is the amount the doctor makes per hour)
Next, we have to take that hourly charge and multiply it by 2 because we know the doctor works two hours per day:
[tex]4800*2=9600[/tex] (this is the amount the doctor makes per day working two hours)
Finally, we know the doctor attends to the clinic two hours per day and seven days per week. We have to multiply the amount of money earned in two hours (9600) by 7 days:
[tex]9600*7=67,200[/tex] (this is the amount the doctor makes in seven days, billing two hours per day)
Use a half-angle identity to find the exact value of Sin/8
a.
√2 + √2
√2+ √2
2
b. V2-E
d. √2-√2
2
Please select the best answer from the choices provided
Answer:
To solve this problem, we need to use the following two facts:
1) If a quadratic equation has integer coefficients only, and if one of the roots is a + √b (where a and b are integers), then a - √b is also a root of the equation.
2) If r and s are roots of a quadratic equation, then the equation is of the form x^2 – (r +s)x + rs = 0.
Since we know that 1 - √2 is a root of the quadratic equation, we can let:
r = 1 + √2
and
s = 1 - √2
Thus, r + s = (1 + √2) + (1 - √2) = 2 and rs = (1 + √2)(1 - √2) = 1 – 2 = -1.
Therefore, the quadratic equation must be x^2 – 2x – 1 = 0.
Answer: D
Step-by-step explanation:
What is the solution to the equation below?
√2x/√x-1=2
A. 4 B. 2 C. 5 D.3
Given:
The given equation is:
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
To find:
The solution for the given equation.
Solution:
We have,
[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]
On simplification, we get
[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]
Squaring both sides, we get
[tex]2x=4(x-1)[/tex]
[tex]2x=4x-4[/tex]
[tex]2x-4x=-4[/tex]
[tex]-2x=-4[/tex]
Divide both sides by -2.
[tex]x=\dfrac{-4}{-2}[/tex]
[tex]x=2[/tex]
Therefore, the correct option is B.
Question 4 (True/False Worth 4 points)
(0701)
True or False?
is a solution to the inequality 12+2 < 12
True
O False
Lani had 2,380 Pesos in a savings bank. She withdrew 500 Pesos. Then deposited 680. Write an adittion sentence to represent the situation. Find the sum of the money
Answer:
2560 Pesos
Step-by-step explanation:
How to find the amount of money in the savings account:
2380 - 500 = 1880
1880 + 680 = 2560
The addition equation: 1880 + 680 = 2560
The sum of the money: 2560 Pesos
A palindrome is a number that is identical when written both forwards and backwards. For example, 181, 25852, and 3333 are all palindromes. How many palindromes between 100 and 1000 are divisible by 3?
Answer:
30 palindromes!!!!!!!
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
zero cannot be the first digit of the palindromes. There are nine other numbers that can be.
9 * 10
The last digit also cannot be zero so it has the same value as the first digit. (Otherwise the number cannot be palindromic) So you are really looking at only 90 numbers total.
That's not the question, but it does put a limit on how many there can be.
Let's find the first number (closest to 100 ) that is palindromic and divisible by 3.
I think 111 is the smallest.
Now what about the largest? That would be 999.
So what is the next number after 111? Wouldn't that be 141?
The difference between 111 and 141 is 30
It turns out that any first digit that is divisible by 3, has 4 palindromic numbers because for them, the second digit is a 0. So for 3 for example, you get
303
333
363
393
All the other numbers only have 3 entries for example, 1 gives you
111
141
171
So making a table we get
First digit Number of palindromes divisible by 3
1 3
2 3
3 4
4 3
5 3
6 4
7 3
8 3
9 4
18 12
Total
if p-1/p = 4 Find (p+1/p)²
Answer:
4
Step-by-step explanation:
[tex] \frac{p - 1}{p} = 4[/tex]
Solve for p.
The numerator. difference has to be 4 times the answer of the denomiator.
So we can say
[tex]p - 1 = 4p[/tex]
Solve for p
[tex] - 1 = 3p[/tex]
[tex]p = - \frac{1}{3} [/tex]
Now plug this in for the other formula.
[tex]( \frac{ - \frac{1}{3} +1}{ \frac{1}{3} } ) {}^{2} = 2 {}^{2} = 4[/tex]
So
what is the commen diffrence for this geometric sequnce 4,24,144,864
Answer:
your answer is in the attachment... hope this helps you.!!!!Solve the system of equations.
8x + 5y = 24
y = -4x
x =
y =
Answer:
x = -2
y = 8
Step-by-step explanation:
8x + 5y = 24
y = -4x
8x + 5 (-4x) = 24 (Substitute y value)
8x - 20x = 24 (Multiply)
-12x = 24 (Combine like terms and divide)
x = -2
y = -4 (-2) (Substitute x value. Multiply)
y = 8
Can someone help me with this math homework please!
Answer:
First dropbox: 7h + 43 = 64
Second dropbox: $3
Step-by-step explanation:
Here's what we know about the question so far:
$43 is the initial fee
The rototiller worked for 7 hours
$64 is the total cost (including initial fee)
h = hourly fee
The answer should be 7h + 43 = 64 because:
- It includes the initial fee of $43
- It sets the equation equal to $64, which is the total cost
- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )
For the 2nd drop box, we will use basic algebra to solve for h:
7h + 43 = 64
(subtract both sides by 43)
7h = 21
(divide both sides by 7)
h = 3
There's your 2 answers!
Hope it helps (●'◡'●)
OMG HELP ILL GIVE U BRAINLIEST HDSJSHXHX
Florencia preparó un kilo 3/4 kg de dulce de leche y quiere dividirlo en porciones iguales en 5 frascos Cuántos kg de Dulce pondrá en cada frasco A cuántos gramos equivalen
Answer:
Each jar contains 150 g.
Step-by-step explanation:
Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?
Amount prepared = 3/4 kg
Total number of jars = 5
The amount in each jar is given by
[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]
step by step how to solve ? 16x^2-10.3x+10=
Answer:
it is not possible result is not given so it is not possible
What single decimal multiplier would you use to increase by 8% followed by a 9% increase?
The answer is 1.1772
Answer:
1.1772 is the single decal multiplier which should be used.
Step-by-step explanation:
Let the initial value be X.
After 8% increase, the value is =((100+8) /100) ×X = 1.08X.
Again after 9% increase, the final value is =((100+9) /100) ×1.08X =(1.09) ×(1.08) X =1.1772X.
This single decimal multiplier which should be used is 1.1772
In how many ways can u arrange the letters of the word MATHEMATICS taking three letters at a time?
Answer:
256 ways i think maybe
Step-by-step explanation:
30 POINTS !!!
what is the total surface area of the square pyramid? 5in height abs 8in base
20
40
104
144
quall o numero de diagonais de um poligono com 15 lados
Answer:
90 diagonais.
Step-by-step explanation:
[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]
look at the image for the question and the answers
Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"
Please answer the question on the screenshot.
Answer:
less than, less than, greater than (from top to bottom)
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the first step when applying properties of operations to divide 73.85 by 4.1?
Multiply the divisor and dividend by 10.
O Multiply the divisor and dividend by 100.
• Divide the divisor and dividend by 10.
• Divide the divisor and dividend by 100.
Step-by-step explanation:
divide the divisor and dividend by 10
a therate ticket cost £63 plus a booking fee of 3%
what is the total price of the ticket
Answer:
Total amount of ticket free = £64.89
Step-by-step explanation:
Given:
Cost of theater ticket = £63 plus
Booking fee of theater ticket = 3%
Find:
Total amount of ticket free
Comutation:
Total amount of ticket free = Cost of theater ticket + Booking fee of theater ticket
Total amount of ticket free = 63 + 3%
Total amount of ticket free = 63 + 1.89
Total amount of ticket free = 64.89
Total amount of ticket free = £64.89
What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum
Answer:
[tex]Minimum = (5,7)[/tex]
No maximum
Step-by-step explanation:
Given
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
[tex]0.9|-(x - 5)| =0[/tex]
Divide both sides by 0.9
[tex]|-(x - 5)| =0[/tex]
Open bracket
[tex]|-x + 5| =0[/tex]
Remove absolute sign
[tex]-x + 5 =0[/tex]
Collect like terms
[tex]x = 5[/tex]
Then the y value is:
[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]
Recall that: [tex]0.9|-(x - 5)| =0[/tex]
So, we have:
[tex]f(x) = 0 + 7[/tex]
[tex]f(x) = 7[/tex]
Hence, the minimum is at: [tex](5,7)[/tex]
Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.
Hence. the function has no maximum; i.e.
[tex]Maximum = (\infty,\infty)[/tex]