Answer:
3y²+y+8
=3(4)²+4+8
=3(16)+4+8
=48+4+8
=60
Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?
Step-by-step explanation:
Let the rate of the plane be x
The rate of the wind be y
Against the wind
Resultant velocity = x-y
1650/3 = x - y
550 = x - y
With the wind
Resultant velocity = x + y
3480/4 = x + y
870 = x + y
Solve equation simultaneously
Add both equations
870+550 = x+y+x-y
1420 = 2x
x = 710
x + y = 870
y=870 - 710
y = 160
The rate of jet in still air = 710 mph
The rate of wind = 160 mph
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
ANSWER QUESTIONS QUICKLY PLZZZZZZ
Answer:
See below.
Step-by-step explanation:
Since the two triangles are similar, this means that their corresponding sides are proportional. In other words:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}=\frac{RP}{ZX}[/tex]
Part A:
We already know PQ, RP, XY, and YZ.
To find XZ, we can use the first and third proportions:
[tex]\frac{PQ}{XY} =\frac{RP}{ZX} \\=\frac{7.2}{18}=\frac{6.5}{ZX}[/tex]
Cross multiply:
[tex]117=7.2(ZX)\\ZX \text{ or } XZ = 16.25[/tex]
Part B:
The same thing as Part A, but with the first and second proportions:
[tex]\frac{PQ}{XY}=\frac{QR}{YZ}\\\frac{7.2}{18}=\frac{QR}{7}\\50.4=18(QR)\\QR=2.8[/tex]
what is 384 remainder 3 as a decimal
Answer:
U just add a .3
Step-by-step explanation:
so it would be 384.3 i think
what is the GCF of 100x squared - 250xy+75x
Answer:
25x
Step-by-step explanation:
100x^2 -250xy +75x
Rewriting
25*4*x*x -25*10 *x*y + 25*3*x
As we can see each term contains 25x
The greatest common factor is 25x
25x( 4x -10y+3)
Answer:
25x
Step-by-step explanation:
GCF means the greatest common factor.
First, we write the factors of these numbers.
=> 100x^2 = 2 * 2 * 5 * 5 * X * X
=> 250xy = 5 * 5 * 5 * 2 * X * Y
=> 75x = 5 * 5 * 5 * x
=> Next, we need to take the numbers that come in all sets.
=> 5 , 5 , x
Next, we multiply these numbers.
=> 25x
So, the GCF of these numbers are 25x
what is x+2/-1 = 3? i need to know
Answer:
x=-5
Step-by-step explanation:
-5+2=(-3)
-3*(-1)= 3
Answer:
x=-5
Step-by-step explanation:
(x+2)/-1 = 3
Multiply each side by -1
(x+2)/-1 * -1 = 3*-1
x+2 = -3
Subtract 2 from each side
x+2-2 = -3-2
x = -5
A group of 22 students participated in a math competition
Harley is trying to save $25,000 to put a down payment on a condominium. if she starts with $10,000 saved and saves in additional $750 each month, which equation represents how far Holly is from her goal of reaching $25,000? X stand for months and Y stand for dollars.
Answer:
10,000+750x=25,000
Step-by-step explanation:
This is because shes starts with 10,000 and gets 750 per month so she needs x months to get to 25,000 you can also do 25,000-10,000/750 = x
Convert each number to scientific notation or standard notation.
1.0395 × 10^9
4 × 10^2
Answer:
1)1,0395x10^9
2)its already in scientific notation?
If you write it in standard notation, which is actually just regular notations it's 400.
Step-by-step explanation:
Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of 10 , with the power corresponding to the amount of places the decimal should move.
inscribed angles. need answers asap , thank u!
Answer:
40°
Step-by-step explanation:
The circumference of a circle is equal to 360°
The arc AB is 180°, the arc AC is given as 100° so the arc CB is 80° and since <A is an inscribed angle it is equal to the half of the arc it sees
80 ÷ 2 = 40
Always true, sometimes true, never true?
(x-1)(1+3)>0, x<1
The graph of function f is shown. Function g is represented by the equation. Look at the graph and picture!
Answer: B) different y intercepts; same end behavior
=======================================================
Explanation:
The graph shows the y intercept is 4 as this is where the green curve crosses the vertical y axis.
The y intercept of g(x) is 6 which can be found by plugging x = 0 into the g(x) function
g(x) = 4(1/4)^x + 2
g(0) = 4(1/4)^0 + 2
g(0) = 6
So we can see the y intercepts are different.
----------
However, the end behaviors are the same for each function. The left side of f(x) goes up forever to positive infinity. The same is true for g(x). You could use a graphing calculator or a table to see this. As x heads to negative infinity, y goes to positive infinity.
In terms of symbols, [tex]x \to -\infty, y \to \infty[/tex]
----------
For the right side of f(x), it slowly approaches the horizontal asymptote y = 2. It never actually reaches this y value. The same happens with g(x). The portion 4(1/4)^x gets smaller but never gets to 0 so overall 4(1/4)^x+2 gets closer to 2. We can say that as x approaches infinity, y approaches 2.
In terms of symbols, [tex]x \to \infty, y \to 2[/tex]
$10,000 for 20 years at 5% compounded annually
Answer:
$26532.98
Step-by-step explanation:
Given:
Principal = $10000Profit rate = 5% PA compoundedTime = 20 yearsCompounds = 20*1 = 20Sum is:
10000*(1 + 5/100)²⁰ ≈ 26532.98Find y. A. 63–√ B. 33–√ C. 23√3 D. 3
This is a 30-60-90 triangle. The shortest leg (opposite the smallest angle) is half that of the hypotenuse, so y = 6/2 = 3.
Extra info: The long leg is sqrt(3) times the short leg, so x = y*sqrt(3) = x = 3*sqrt(3)
Answer:
D.) 3
Step-by-step explanation:
I got it correct on founders edtell
Three years from now Tom will be twice as old as Jean and two years ago the sum of their ages was 26. How old is Tom now?
Answer:
21
Step-by-step explanation:
Tom'age: a
Jean'age: b
3+a=2(b+3)
a-2+b-2=26
or
a =2b+3
2b+3-2+b-2=26
or
a=2b+3
3b=27
or
a=21
b=9
Thus the required present age of Tom and Jean is 21 years and 9 years.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Let the present age of Tom and Jean is x and y.
Three years from now Tom will be twice as old as Jean.
x + 3 = 2 ( y + 3 )
x = 2y + 6 - 3
x = 2y + 3 - - - - - - - - -(1)
two years ago the sum of their ages was 26.
x - 2 + y - 2 = 26
x + y = 26 + 4
x + y = 30 - - - - - - -(2)
From equation 1 put x in equation 2.
2y + 3 + y = 30
3y = 30 - 3
3y = 27
y = 9
Put y in equation 2
x + 9 = 30
x = 30 - 9
x = 21
Thus the required present age of Tom and Jean is 21 years and 9 years.
Learn more about arithmetic here:
brainly.com/question/14753192
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Please help, I don't understand
Answer:
sin(θ) = (2/5)√6
Step-by-step explanation:
The sine and cosine are related by the formula ...
[tex]\sin{(\theta)}^2+\cos{(\theta)}^2=1\\\\\sin{(\theta)}=\pm\sqrt{1-\cos{(\theta)}^2}[/tex]
Filling in the given value for cos(θ), we find the sine to be ...
[tex]\sin{(\theta)}=\pm\sqrt{1-\left(\dfrac{1}{5}\right)^2}=\pm\dfrac{\sqrt{24}}{5}=\pm\dfrac{2}{5}\sqrt{6}[/tex]
__
The cosine function is positive for angles in both the first and fourth quadrants. The restriction on θ tells us this is a first-quadrant angle. The sine is positive in the first quadrant, so the desired value is ...
sin(θ) = (2/5)√6
If there is a positive correlation between salary and education, then based on the table shown, which of the following careers requires the most education? A graph titled Average Salaries of Various Careers, 2008 to 2009. Veterinarian, 56,000 dollars; personal trainer, 18,000 dollars; accountant, 43,000 dollars; paralegal, 34,000 dollars; architect, almost 50,000 dollars; photographer, 19,000 dollars; pharmacist, 44,000 dollars; secretary, 30,000 dollars; surveyor, 36,000 dollars; webmaster, 49,000 dollars. a. accountant b. paralegal c. photographer d. surveyor
Answer:
The correct option is;
a. Accountant
Step-by-step explanation:
The given data are;
Career, Average Salary
Veterinarian, $56,000
Personal trainer, $18,000
Accountant, $43,000
Paralegal, $34,000
Architect, $50,000
Photographer, $19,000
Pharmacist, $44,000
Secretary, $30,000
Surveyor, $36,000
Webmaster, $49,000
Among the options given, which are, accountant (salary, $43,000), paralegal (salary, $34,000), photographer (salary, $19,000), and surveyor (salary, $36,000), the accountant, with a salary of $43,000, requires the most education.
It is estimated that 52% of drivers text while driving . What is the probability the next driver texting while driving that a police officer pulls over is the fifth driver?
Answer:
0.0276
Step-by-step explanation:
The computation of the probability that the next driver is texting while driving is shown below:
= Fourth pull failure × fifth pull success
where,
Fourth pull failure is (1 - 0.52)^4
And, the fifth pull success is 0.52
Now placing these values to the above formula
So,
= (1 - 0.52)^4 × 0.52
= 0.0276
Hence, the probability is 0.0276
Two numbers are in ratio 3 by 2 and their difference is 5 find numbers
Answer:
15,10
Step-by-step explanation:
let the numbers be 3x and 2x
3x-2x=5
x=5
∴ numbers are 3×5,2×5
or 15,10
Find the GCF of 15 and 25
15 factors into 5*3
25 factors into 5*5
The common factor is 5, and this is the largest common factor between 15 and 25.
Help please and explain
Answer:
30 ft
Step-by-step explanation:
We can use ratios
3 6
------ = ------------
15 x
Using cross products
3x = 6*15
Divide each side by 3
3x/3 = 6*15/3
x = 30
Answer:
30 ft
Step-by-step explanation:
6/3 = x/15
2 = x/15
2×15 = x
30 = x
The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days:
n = 2000x + 1000
What does the number 2,000 represent?
Answer:
Amount of trash added to the landfill everyday
Step-by-step explanation:
If 2000 represents the amount of trash added to the landfill everyday then 1000 is the starting amount.
I got it right on the test. Hope this helped!
Try making 100 using:
5,5,5,5,5
?=100
Help ASAP!
Answer:
(5+5+5+5)*5
20*5=100
[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]
Find the distance between the two points (8, 3) and (0, -3)
Answer:
10
Step-by-step explanation:
d is the variable for distance
√(0−8)2+(−3−3)2=
√(−8)2+(−6)2=
√64+36=
√100=
10
Answer:
10
Step-by-step explanation:
Please answer this question now
Answer:
72°
Step-by-step explanation:
From the figure given, angle D intercepts arc ABC. According to the Inscribed Angle Theorem:
m < D = ½(ABC) = ½(AB + BC)
Thus,
[tex] 56 = \frac{1}{2}(AB + 40) [/tex]
Solve for AB
[tex] 56 = \frac{AB + 40}{2} [/tex]
Multiply both sides by 2
[tex] 56*2 = \frac{AB + 40}{2}*2 [/tex]
[tex] 112 = AB + 40 [/tex]
Subtract both sides by 40
[tex] 112 - 40 = AB + 40 - 40 [/tex]
[tex] 72 = AB [/tex]
Arc AB = 72°
choose the true statement.
-2 < -3
-2 > -3
-2 = -3
Answer:
-2> -3
Step-by-step explanation:
when in the minuses, the lower the number, the bigger it really is!
Answer:
-2> -3
Step-by-step explanation:
HOPE THIS HELPS HAVE A GREAT DAY :) :} :) :}a ladder 7.5m long is leaning against a wall if the foot of the ladder is 3m from the wall how far up the wall does the ladder reach to reach the nearest metres
Answer:
7 m
Step-by-step explanation:
Use the pythagorean theorem.
a^2+b^2=c^2
7.5 is your hypotenuse and 3 is one of your legs.
7.5^2 - 3^2 = 47.25
the sqrt of 47.25 is 6.873863542, therefore the nearest meter it reaches is 7.
Los jornales de dos obreros suman S/.60. Si uno de ellos gana S/.12
más que el otro. ¿Cuánto ganan cada uno de ellos?
Answer:
Cada uno de ellos gana:
S/. 24
S/. 36
Step-by-step explanation:
Planteamiento:
a + b = 60
a = 12 + b
Desarrollo:
sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:
(12+b) + b = 60
2b + 12 = 60
2b = 60 - 12
2b = 48
b = 48/2
b = 24
de la segunda ecuación del planteamiento:
a = 12 + b
a = 12 + 24
a = 36
Check:
24 + 36 = 60
6p- 2q for p = 3 and q = -7
Answer:
32
Step-by-step explanation:
plug in the values of the variables then simplify
Answer:
[tex]\boxed{32}[/tex]
Step-by-step explanation:
Hey there!
Well given the expression,
6p - 2q
and p and q we need to plug them in.
6(3) - 2(-7)
Simplify
18 - -14
18 + 14
= 32
Hope this helps :)
What is the answer?
ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
Answer:
When two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°
Step-by-step explanation:
Based on the Inscribed Angles Theorem, the measure of an intercepted arc is twice the measure of the inscribed angle that intercepts it in a circle.
Consequently, the theorem also Holds that the measure of two inscribed angles intercepting the same arc, are congruent. In other words, both angles together are the same, and their sum would give you the measure of the arc they both intercept.
In the diagram shown in the attachment below, we have 2 inscribed angles, angle A and B. They both intercept the same arc of 75°.
Therefore, we can conclude that the measure of both angles equal 75°, which is the same as the measure of the arc they intercept.
Angle A = Angle B
m<A + m<B = measure of intercepted arc = 75°
