Answer: The value of m is 29.
Step-by-step explanation:
Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex] ...(i)
We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-
[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex] ...(ii)
On comparing (i) with (ii) , we get
[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]
i.e.
[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]
Hence, the value of m is 29.
Ashton read 12 pages on Friday. He read 3 times as many pages on Saturday, and 14 more pages on Sunday.How many more pages did Ashton read over the three days?
Answer:
Ashton read 62 pages over the three days
Step-by-step explanation:
Given;
Ashton read 12 pages on Friday
He read 3 times as many pages on Saturday = 3 x 12 pages = 36 pages
He read 14 more pages on Sunday
The total number of pages read Ashton over the three days can be calculated as follows;
Total pages read by Ashton = 12 pages + 36 pages + 14 pages
Total pages read by Ashton = 62 pages
Therefore, Ashton read 62 pages over the three days
16t² - 4/25 s²
factorise this for me plzz guys
Answer:
(4t+2/5 s) (4t+2/5 s)
Step-by-step explanation:
16t^2-4/25 s^2
=(4t)^2-(2/5 s)2 by using (a^2-b^2) formula
=(4t+2/5 s) (4t+2/5 s)
Answer:
[tex] = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} ) \\ [/tex]
Step-by-step explanation:
[tex] \frac{16 {t}^{2} - 4 }{25 {s}^{2} } \\ \frac{ {4}^{2} {t}^{2} - {2}^{2} }{ {5}^{2} {s}^{2} } \\ = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} )[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is answer i need it
Answer:
1/24
Step-by-step explanation:
In order to find the probability of a compound event, you have to multiply the probability of each event occurring together.
The probability of choosing a female is 1/2. There are only 2 genders.
The probability of choosing long hair is 1/3. There are three different lengths of hair to choose from.
The probability of choosing red hair is 1/4. There are four different hair colors to choose from!
Multiply all these probabilities:
1/2 * 1/3 * 1/4
= 1/24
Find the surface area of the following cylinders. Round to the nearest hundredth.
Answer:
surface area of cylinder= 2πrh + 2πr²
2×22/7×1×8+2×22/7×1×1
352. + 44
7. 7
= 50.3 + 6.25
= 56.55cm²
The last step in a proof contains the
Step-by-step explanation:
I don't understand the question
Please help thank you
Answer:
6.5%
Step-by-step explanation:
15.40 * 5 = 77
77 is in the 6.5% range.
1. Line A's equation is y = -1/3x - 5. Line B is perpendicular to Line A and and goes
through the point (2, 3). Write the equation for Line B in slope-intercept form.
2. Line A's equation is y = 2/5x - 5. Line B is perpendicular to Line A and and goes
through the point (10.3). Write the equation for Line B in slope-intercept form.
Answer:
y = -1/3x - 11/3
Step-by-step explanation:
line a: y = -1/3x - 5
3 = -1/3(2) - b
3 = -2/3 - b
3 + 2/3 = b
3/1 + 2/3 = b
9/3 + 2/3 = b
11/3 = b
Plzz help, will mark brainlest!
An airplane travels 150 miles horizontally during a decrease of 35,000 feet vertically.
1. What is the angle of descent?
2. How long is the plane's path?
*teacher hint* remember to convert feet to miles or miles to feet or your answer will not make sense
The airplane's path is an illustration of right-triangles
The angle of descent is 2.5 degreesThe plane's path is 150.15 milesThe angle of descentRepresent the angle of descent with [tex]\theta[/tex]
The angle of descent, [tex]\theta[/tex] is then calculated using the following tangent identity
[tex]\tan(\theta) = \frac{35000\ feet}{150 \ miles}[/tex]
Convert feet to miles
[tex]\tan(\theta) = \frac{6.6287879\ miles }{150 \ miles}[/tex]
Divide
[tex]\tan(\theta) = 0.0442[/tex]
Take the arc tan of both sides
[tex]\theta = \tan^{-1}(0.0442)[/tex]
Evaluate the arc tan
[tex]\theta = 2.5[/tex]
Hence, the angle of descent is 2.5 degrees
The plane's pathRepresent the plane's path with p
The plane's path is calculated using the following Pythagoras theorem
[tex]p^2 = (150\ miles)^2 + (35000\ feet)^2[/tex]
Convert feet to miles
[tex]p^2 = (150\ miles)^2 + (6.6287879\ miles)^2[/tex]
Evaluate
[tex]p^2 = 22543.940829[/tex]
Take the square roots
[tex]p = 150.15[/tex]
Hence, the plane's path is 150.15 miles
Read more about right-triangles at:
https://brainly.com/question/2437195
Hello, can someone please help me with this I need a explanation and the answer. Thank you! - I will give you 25 points Joey is building a frame for a sandbox. The sand box is is going to have the shape and dimensions below. If the diagonal of the sandbox measures 14 feet, what kind of quadrilateral will the sandbox be? Explain how you know.
Answer:
we know that
applying the Pythagoras Theorem
c²=a²+b²
where
c=14 ft
a=8 ft
b=12 ft
case a)
if
c²=a²+b² C is a right angle
case b)
if
c²< (a²+b²) C is an acute angle
case c)
if
c² > (a²+b²) C is an obtuse angle
c²=14² 196
(a²+b²)=8²+12² 208
196 < 208
c² < (a²+b²) C is an acute angle
the answer is the option
C. a quadrilateral, because angle C and angle X are acute
hope thus helps lol
Answer: C)a quadrilateral, because angle C and angle X are acute
Step-by-step explanation: Im double confiming that this is the right answer on edge......I just did the quiz and got 100% thx to the person above!! Hope this helps :D
Please help !! Don’t understand :((
Answer:
6
Step-by-step explanation:
6 ^ (1/4) ^ 4
We know a^ b^ c = a^(b*c)
6 ^ (1/4*4)
6^1
6
Answer:
C. 6
Step-by-step explanation:
Multiply the exponents on the expression
1/4 x 4 = 1
This simplifies to 6^1 or 6
Calculate the rate of change for the quadratic function over the given interval: f\left( x \right) = {x^2} + 4x + 5;\; - 1 \le x \le 2f(x)=x 2 +4x+5;−1≤x≤2 1 5 2 -4
Answer: The rate of change is 5.
Step-by-step explanation:
Our equation is:
f(x) = x^2 + 4x + 5
And we want to find the rate of change in the range −1≤ x ≤2
when we want to find the rate between x1 ≤ x ≤ x2
we have:
Rate = (f(x2) - f(x1))/(x2 - x1)
So we have:
Rate = ( f(2) - f(-1))/(2 - 1)
Rate = (2^2 + 4*2 + 5 - (-1)^2 - 4*(-1) - 5)/3 = 15/3 = 5
The rate of change is 5.
Stunt Double A movie stunt double jumps from the top of a
building 50 feet above the ground onto a pad on the ground
below. The stunt double jumps with an initial vertical velocity
of 10 feet per second.
a. Write and graph a function that models the height h (in feet)
of the stunt double t seconds after she jumps.
b. How long does it take the stunt double to reach the ground?
Answer:
2.1 s
Step-by-step explanation:
1. Write the equation
The formula for vertical displacement is
y = h + v₀t - ½gt²
h = 50 ft
v₀ = 10 ft/s
g = 32.2 ft/s²
Insert the values
y = 50 + 10t - ½ × 32.2t²
y = 50 + 10t - 16.1t²
The graph below shows the height as a function of time.
2. Solve the equation
a = -16.1; b = 10; c = 50
[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]
[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]
Which of the following best describes the lines y = 5 and
x = -3?
A)intersecting
B) parallel
C) perpendicular
D)skew
Answer: C
Step-by-step explanation:
Since we are looking at a vertical and horizontal line, we can eliminate B and D. A and C would both be correct, but the most accurate description would be C. x=-2 and y=5 are perpendicular lines. Since one is horizontal and the other is vertical, it makes a perfect 90°.
fifteen percent means fifteen out of
Answer:
15 out of 100
Step-by-step explanation:
15 %= 15/100 it means 15 out of 100
On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1). Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y) → (–y, x). Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)
Answer:
Correct. He transformed the triangle according to the rule (x, y) → (–y, x)
Step-by-step explanation:
Given
F(3, 2), H(4, 5), G 1, 2)
F'(-2, 3), H'(-5, 4), G'(-2, 1)
Find
Whether the triangle was correctly transformed using the rule ...
(x, y) → (–y, x).
Solution
For point F, we have ...
x = 3
y = 2
Then the rule tells us the point F' should be ...
F' = (-y, x) = (-2, 3)
This is the point Quinton found for F', so his transformation was correct. (We can similarly verify that H' and G' are also correct.)
Answer:
The answer is A. Correct. He transformed the triangle according to the rule (x, y) → (–y, x).
Step-by-step explanation:
choose the correct correspondence. Line B A) R B) S C)T
Answer:
BA RB SC T
Step-by-step explanation:
Answer:
The answer is T
Please help me with my math question!!
29.2
Step-by-step explanation:
15×15=225
25×25=625
225+625=850
the square root of 850 is 29.2
Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees. What is the value of y? 16 50 130 164
Answer:
Angle y measures 130 degrees
Step-by-step explanation:
Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".
Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:
[tex]2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o[/tex]
Now, we can find the actual value of these two angles, we use for example the first expression:
Top-right angle = [tex]2\,(16^o)+18^o=50^o[/tex]
Now, if these two angles measure [tex]50^o[/tex], then angle "y" (which is the supplementary angle (angle which added renders [tex]180^o[/tex] ) for them, must equal [tex]180^o-50^o=130^o[/tex]
Answer:
It's C. 130
Step-by-step explanation:
O just did the math and got it right on the test.
If a loan option had been available for your food truck for the $50,000 at 4% interest for 6 years instead of 4 would you have taken that option instead? Why or why not?
Answer:
It depends.
Step-by-step explanation:
For 6 years:
[tex]50000*(1.04)^6=\$63266[/tex]
On average, you would have to be profiting:
[tex]\frac{63266}{6}=\$10544[/tex] per year
For 4 years:
[tex]50000*(1.04)^4=\$58492[/tex]
On average, you would have to be profiting:
[tex]\frac{58492}{4} = \$14623[/tex] per year.
It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.
However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.
Solve -3+7y=5x+2y when x=-5
Answer:
y = -22/5
Step-by-step explanation:
-3+7y=5x+2y
Subtract 2y from each side
-3+7y-2y=5x+2y-2y
-3 +5y = 5x
Add 5 to each side
5y = 5x+3
Divide each side by 5
y = 5x/5 +3/5
y = x +3/5
Let x = -5
y = -5 + 3/5
y = -25/5 +3/5
y = -22/5
Answer:
[tex]y=-\frac{22}{5}[/tex]
Step-by-step explanation:
[tex]-3+7y=5x+2y\\x=-5[/tex]
Replace:
[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]
Subtract -2y
[tex]-3+7y-2y=-25[/tex]
Add 3
[tex]7y-2y=-25+3[/tex]
Combine like terms;
[tex]5y=-22[/tex]
Divide by 5.
[tex]y=-\frac{22}{5}[/tex]
Proof
[tex]For x=-5, y=-\frac{22}{5}[/tex]
[tex]-3+7y=5x+2y[/tex]
[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]
[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]
To make it easier to solve, add 154/5
[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]
Now add 25
[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]
Combine like terms;
[tex]22=\frac{110}{5} \\22=22[/tex]
What is the measure of angle Y, in degrees?
Answer:
The answer would be 116
Step-by-step explanation:
The angles X and Z would be equal at 32 so multiply them by 2 and you would get 64 subtract 64 from 180 and you would get 116
Answer:
Y =116
Step-by-step explanation:
We know that angle Z = angle X since they are base angles and the sides are the same length
The sum of the angles of a triangle are 180
X+Y+Z = 180
32+ Y + 32 = 180
64+Y=180
Y = 180-64
Y =116
Name the set(s) of numbers to which -2/5 belongs.
Answer:
1. integers
2. rational no.
What is the value of the 4 in the number 17.884?
Write your answer as a fraction.
Answer:
4/1000
Step-by-step explanation:
the value of 4 is 0.004 which in fraction form is 4/1000
An angle measures 50.2° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
10
Step-by-step explanation:
Find an equation that meets the conditions p varies inversely as d, and p= 7 when d = 2.
Answer: 3.5
Step-by-step explanation:
The diagram shows two straight lines
Work out the value of x.
Answer:
x = 136
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
What is the percent change from 90 to 63
Answer:
-42.86%
Step-by-step explanation:
Mathematically, the percentage change is;
(new value -old value)/old value * 100%
According to this question
new value = 63
old value = 90
Inputing these values we have ;
(63-90)/63 * 100
-27/63 * 100%
= -3/7 * 100% = -42.86 #
A box measures 4 units by 2 and 1/2 units, by 1 and 1/2 units. What is the greatest number of cubes with a side length of 1/2 unit that can be packed inside the box?
Answer:
120 cubes
Step-by-step explanation:
First we need to find the volume of the box and the volume of the cube.
Volume of box = 4 * 2.5 * 1.5 = 15 cubic units
Volume of cube = 0.5 * 0.5 * 0.5 = 0.125 cubic units
Now, to find how many cubes can be packed inside the box, we just need to divide the volume of the box by the volume of the cube:
number of cubes = volume of box / volume of cube
number of cubes = 15 / 0.125 = 120 cubes
HELP QUICK!!!
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 17 feet more than the length of the shortest side. Find the dimensions if the perimeter is 173 feet.
Answer:
Step-by-step explanation:
let the length of shortest side be x
and length of second side be 2x
and third side be x+17
given , perimeter = 173 feet
therefore , x+2x+x+17 =173
4x =173-17
4x =156
x = 156/4
x = 39
therefore ,
length of :
shortest side = 39 feet
second side =78 feet
third side =56 feet
hope it helps.. please mark me as the brainliest...