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
what is the mid point of AB?
Answer:
G
Step-by-step explanation:
I did this on edge and it was right
Answer:
O Point G
Step-by-step explanation:
A = -6
B = 8
To find the midpoint, calculate how much would it take for both points to have a value of zero.
-6 + ? = 0
-6 + 6 = 0
8 - ? = 0
8 - 8 = 0
so the midpoint will be about 7 (between 6 & 8)
Now which of the points best shows 7 units apart of AB
Answer: point G
A valid argument form is one in which, when you uniformly substitute for the variables, the result is
Answer:
True
Step-by-step explanation:
This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.
Compare the rates for different numbers of texts. If Roger's father wants to get a 600-text message plan, what is the difference in price for the Dial It Up and Ring Ring plans?
Answer:
[tex]\$6[/tex]
Step-by-step explanation:
Given
See comment for complete question
Required
The difference in the cost of 600 text messages plan
Representing the given data as; Cost to Number of text messages, we have:
[tex]Dial\ Up = \$5 : 100[/tex]
and
[tex]Ring\ Ring= \$8 : 200[/tex]
Multiply the dial-up by 6 to get the cost of 600
[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]
[tex]Dial\ Up = \$30 : 600[/tex]
So, the cost of 600 text messages is $30 --- for dial-up
Multiply the Ring Ring by 3 to get the cost of 600
[tex]Ring\ Ring= \$8 *3: 200*3[/tex]
[tex]Ring\ Ring= \$24: 600[/tex]
So, the cost of 600 text messages is $24 --- for Ring Ring
The difference (d) is:
[tex]d = \$30 - \$24[/tex]
[tex]d = \$6[/tex]
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
pLZ HELPPPPPPPPPPPPPPPPPPPPPPPPP.
Answer:
x^4+4x^3+6x^2+7x+2
5 plus 6 times 8 plus 9 times 10 plus 8 plus 4 plus 2 plus 9 plus 8 plus 7 plus 5 plus 7 plus 6 times 7 times 9 times 8 times 5 times 4 times 3 times 2 times 1 times 6 times 8 times 9 times 12 times 17 times 19 times 20 times 12 times 11 times 13 times 14 times 15 times 16
i dont know
hi hi hi hi hi ih ih ih ihi ih i h
The rope required to measure the diametwr of acicular pond is 90 m shorter than measurin its circumference. find the diameter of the pond.
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
im sorry i dont know the answer
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
What is the range of the function f(x)=3/4 (x) -3
The function f(x)=3/4 (x) -3 is a straight line,
so the range of the function is (-∞,∞)
Answered by GAUTHMATH
If < A and < B are vertical angles, and < A is 43 ° , then what is the measure of < B?
Select one:
a. 47 °
b. 137 °
c. 21 °
d. 43 °
Answer:
d
Step-by-step explanation:
vertical angles are congruent , so
∠ B = ∠ A = 43°
If f(a) is an exponential function where f(-3) = 18 and f(1) = 59, then find the
value of f(0), to the nearest hundredth.
Given:
For en exponential function f(a):
[tex]f(-3)=18[/tex]
[tex]f(1)=59[/tex]
To find:
The value of f(0).
Solution:
The general form of an exponential function is:
[tex]f(x)=ab^x[/tex] ...(i)
Where, a is the initial value and b is the growth/ decay factor.
We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).
[tex]18=ab^{-3}[/tex] ...(ii)
We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).
[tex]59=ab^{1}[/tex] ...(iii)
On dividing (iii) by (ii), we get
[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]
[tex]3.278=b^{1-(-3)}[/tex]
[tex]3.278=b^{4}[/tex]
[tex](3.278)^{\frac{1}{4}}=b[/tex]
[tex]1.346=b[/tex]
Substituting the value of b in (iii).
[tex]59=a(1.346)^1[/tex]
[tex]\dfrac{59}{1.346}=a[/tex]
[tex]43.83358=a[/tex]
[tex]a\approx 43.83[/tex]
The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].
Therefore, the value of f(0) is 43.83.
Hallar el interés producido por un capital de /240a una tasa de interés del 30% anual prestados durante un tiempo de 2 años
Answer:
The interest for the two years is 144.
Step-by-step explanation:
Hallar the interest produced by a capital of /240 to an annual interest rate of 30% provided for a period of 2 years
Principal, P = 240
Interest, R = 30 %
Time, t = 2 years
The simple interest is given by
[tex]I = \frac{P\times R\times T}{100}\\\\I = \frac{240\times 30\times 2}{100}\\\\I = 144[/tex]
2(5x-3)=24
find what x is?
Answer:
x = 3
Step-by-step explanation:
2(5x - 3) = 24
Divide both sides by 2.
5x - 3 = 12
Add 3 to both sides.
5x = 15
Divide both sides by 5.
x = 3
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
A certain medical test is known to detect 59% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:
Answer:
[tex]P(x = 3) = 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 10[/tex]
[tex]p=59\% = 0.59[/tex]
Required
[tex]P(x = 3)[/tex] --- probability that 3 are afflicted
This question illustrates binomial probability and it is calcuated using:
[tex]P(x) = ^nC_x * p^x * (1 - p)^{n-x}[/tex]
So, we have:
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * (1 - 0.59)^{10-3}[/tex]
[tex]P(x = 3) = ^{10}C_3 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 120 * 0.59^3 * 0.41^7[/tex]
[tex]P(x = 3) = 0.048[/tex]
Please help with (ii). thank you!!!
Answer:
Exact surface area = 500+20pi square cm
=============================================================
Explanation:
A = area of the bottom face = 10*12 = 120B = area of the left face = 7*12 = 84C = area of the right face = 7*12 = 84D = area of the front face = 7*10-0.5*pi*2^2 = 70 - 2piE = area of the back face = 7*10-0.5*pi*2^2 = 70 - 2piF = area of the top face = 2*3*12+0.5*2*pi*2*12 = 72+24piAll areas mentioned are in square cm, which can be abbreviated to cm^2.
Faces A,B,C are straight forward as they are simply rectangles. The remaining 3 other faces are a bit tricky.
Faces D and E involve subtracting off the area of a semicircle of radius 2 from a 7 by 10 rectangle area. The formula pi*r^2 is the area of a full circle, while 0.5*pi*r^2 is the area of a semicircle. From there, I then plugged in r = 2.
The top face is really a combination of 3 different pieces (two flat, one curved in the middle). Each flat part is of area 3*12 = 36, so that doubles to 2*3*12 when accounting for both flat parts. The curved portion will involve the lateral surface area of a cylinder formula which is
LSA = 2*pi*r*h
but since we're only dealing with half the lateral area, we multiply that by 0.5 to get 0.5*2*pi*r*h. From there, I plugged in r = 2 and h = 12.
-----------------------
In summary we have these six areas for the faces
bottom = 120left = 84right = 84front = 70 - 2piback = 70 - 2pitop = 72 + 24piAdd up those sub areas to get the full surface area of this particular 3D solid.
120+84+84+(70-2pi)+(70-2pi)+(72+24pi)
(120+84+84+70+70+72)+(-2pi-2pi+24pi)
500+20pi
This is the exact surface area in terms of pi. If you want the approximate version of this, then you could replace pi with 3.14 and compute to get 562.8 cm^2
Use more decimal digits in pi to get a more accurate value. If you use your calculators version of pi, then you should get somewhere around 562.831853 cm^2
In this case, I think it's better to stick with the exact surface area (unless your teacher instructs otherwise).
does anyone know how to solve this ?
Answer:
D) 144π sq. units
Step-by-step explanation:
The formula for finding the surface area of a sphere is 4π
Substitute 6 in for r. 4π = 144π
Answer:
144π sq. units
Step-by-step explanation:
The formula to determine the surface area of a sphere is: 4πr^2
But there’s no digit of pi given. Therefore we will use the formula but ignoring pi:
4πr^2
= 4r^2
= 4(6^2)
= 4(36)
= 144
Surface area is measured in square units.
Therefore the answer is 144π. The answer will be the true answer surface area once we know what π to use. For now, π will be just a variable next to 144 and will be later multiplied to it.
I hope you understand this! Hope I helped!
help me pls pls !!!!! help
help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
Uma empresa do ramo de confecções produz e comercializa calças jeans. Se x representa a quantidade produzida e comercializada (em milhares de reais) e L(x) = -x² + 8x – 16 representa o lucro (em milhares de reais) da empresa para x unidades, então quando L(x) = 0 a empresa terá produzido e comercializadas quantas unidades dessas calças jeans? *
Answer:
I am in 5 classso i did not known answer
make b the subject of the formula
A=1/2bh
Answer:
[tex] \blue{b = \dfrac{2A}{h}} [/tex]
Step-by-step explanation:
[tex] A = \dfrac{1}{2}bh [/tex]
Step 1. Switch sides.
[tex] \dfrac{1}{2}bh = A [/tex]
Step 2. Since the fraction 1/2 multiplies b, multiply both sides by the reciprocal of 1/2 which is 2.
[tex] 2 \times \dfrac{1}{2}bh = 2 \times A [/tex]
[tex] bh = 2A [/tex]
Step 3. Since h is multiplying b, and you want b alone, divide both sides by h.
[tex] \dfrac{bh}{h} = \dfrac{2A}{h} [/tex]
Answer:
[tex] b = \dfrac{2A}{h} [/tex]
The time spent by Nadia to answer the geography quiz is 30 minutes more than the time spent to answer the history quiz. What is the total time that Nadia took to answer both quizzes?
Answer:
1 hour
Step-by-step explanation:
hope it helps ....
LAST QUESTION SOMEONE HELP PLEASE QUICK
Answer:
27%
Step-by-step explanation:
Answer:
p(j)=27% is correct answer
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
Please help with this!!! 8 points!!!
Answer:
d
Step-by-step explanation:
Tony Stark is trying to improve his Iron Man suit by increasing its power. One modification will cost $350 million, of which the US Government will pay $110 million, and his contractor will offer a 30% discount on the entire cost of the project. If he has half the remainder in petty cash, how much does he still need to raise?'
The total cost is $350 million.
The US Government is offering to pay $110 million.
A contractor is offering to reduce the total cost by 30%.
Tony has enough money to pay the remaining costs out of petty cash.
Answer:
I am a piano so yeah I'm just typing to fill the character requirement
Step-by-step explanation:
get got
O A. y = (x + 3)2 + 5
O B. y= (x - 5)2 + 3
O c. y = (x + 3)2-5
O D. X=-3(y + 5)2
Please someone help I can not get past this question
Answer:
65.76 m
Step-by-step explanation:
This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.
Starting with the triangle:
1/2(b*h)=a
We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:
1/2*15=a or 15/2=a
a=7.5
Then we calculate the area of the rectangle:
l*w=a
5*6=a
30=a
Then the area of the semi circle:
First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):
3.14*r^2=a
3.14*3^2=a
3.14*9=a
28.26=a
Finally, we add all three areas from above:
7.5+30 + 28.26 = 65.76
