Answer:
In order for three numbers to form a triangle, the sum of any of the two numbers must be greater than the third number. In this case, 12+20>24, 20+24>12, and 12+24>20. Therefore, this is a triangle.
c^2_a^2+b^2
24^2_12^2+20^2
576_144+400
576_544
576>544
This is an obtuse triangle, as c^2>a^2+b^2.
Step-by-step explanation:
Xpand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3 is .
Answer: 144
Step-by-step explanation:
The binomial is [tex]\left( 4x+3y\right)^3[/tex]
The expansion of [tex]\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots[/tex]
Expansion of [tex]\left( 4x+3y\right)^3[/tex]
[tex]\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3[/tex]
So, the second term is
[tex]\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1[/tex]
Its Coefficient is
[tex]\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144[/tex]
This table shows a value that represents an exponential function what is the average rate of change for this function for the interval from x=3 to x=5?
Answer:
C
Step-by-step explanation:
The average rate of change on an interval is simply the slope between the endpoints.
We want to find the average rate of change of function y from x= 3 to x = 5.
Find the endpoints. From the table, we know that the endpoints are (3, 27) and (5, 125).
The slope between them is:
[tex]\displaystyle m=\frac{125-27}{5-3}=49[/tex]
So, the average rate of change of function y from x = 3 to x = 5 is 49.
Our answer is C.
Answer:
C. 49
Step-by-step explanation:
I took the test
PLEASE ANSWER ALL QUESTIONS WITH STEPS WILL GIVE BRAINLIEST ANSWER DUE SOON
Answer:
1. 1.0044 x 10^-5 n
3. 9.28 x 10^-11
5. 4.757 x 10^-10
7. 3550000/41
^ = the power of
Answer:
1 question answer 10.044x20 steps 1.08x10*9.3x10 1.08*x10*9.3*x10
(1.08*9.3)*(x10*x10). question 2 answer 9.28x20 steps 2.32x10*4x10
2.32*x10*4*x10
(2.32*4)*(x10*x10)
Step-by-step explanation:
Please help ASAP thank you!
Answer:
y < 3
Step-by-step explanation:
If you put the equation on a graphing calculator it shows that.
Please give me BRAINLIEST and THANKS <(￣︶￣)>
Answer..........please
Answer: 2.5
Step-by-step explanation:
I believe 2.5 because If we take y/x we have 4,10 so I divide.
19. A cross section of a water trough is in the shape of trapezoid with bases measuring 4 m and 12 m. what is the length of the
median of the trapezoid?
4
B. 6
C.8
D. 10
Given:
The bases of trapezoid measuring 4 m and 12 m.
To find:
The median of the trapezoid.
Solution:
The median of the trapezoid is the average of its bases.
[tex]\text{Median}=\dfrac{\text{Upper base + Lower base}}{2}[/tex]
The bases of trapezoid measuring 4 m and 12 m. So, the median of the trapezoid is:
[tex]\text{Median}=\dfrac{4+12}{2}[/tex]
[tex]\text{Median}=\dfrac{16}{2}[/tex]
[tex]\text{Median}=8[/tex]
Therefore, the correct option is C.
Two points on the graph of a quadratic function are shown on the grid below
What is the equation of the axis of symmetry of the graph of the function?
a) x=-3
b) x=4
c) x=3
d) x=-4
The mean of a set of five numbers is 4. If you were to add up the five numbers in the set, what would be their sum (total)
Answer:
Mean = 4
n = 5
Sum of 5 number = ∑x
[tex]mean = \frac{ \sum x}{5} \\\\4 \times 5 = \sum x\\\\\sum x = 20[/tex]
Two shorter sides of a right-angled triangle are 5 cm and 9 cm. Which is closest to the length of the longest side? Please Show the work.
Answer:
Step-by-step explanation:
do it ur self
Which number makes the number sentence true?
18:0=3
A. 4
B. 5
C. 6
D. 7
Which is a statistical question?
Answer:
I think its option (d) since it has a relation with data and statistics. Hope it helps. Thank you
Rectangle JKLM is shown.
To the nearest tenth of a
entimeter, what is the distance from j to M?
A
5.0 cm
B
10.2 cm
С
15.3 cm
D
21.0 cm
Answer:
B
Step-by-step explanation:
We can use the Pythagorean theorem to solve this.
(13)^2 = (8)^2+x^2
169 = 64 + x^2
x^2 = 105
x is approximately 10.2, so B
Find the value of x
PLEASE HELP MEE
Answer:
no idea- I would say the answer is 4 but i don't know if the triangles are similar or not
Step-by-step explanation:
Answer:
Step-by-step explanation:
What Math skill is that ?
i might be able to help you
Name the polygon. Write whether it is regular
or not regular.
Answer:
since the polygon has eight sides, it's an octagon and no, it's not regular since length of all sides of a regular polygon must be equal but in that octagon, not all sides are equal.
A boy decides to jump from a high diving board into the middle of a lake. The following expression states his
trajectory: f(t)--t2+4+ + 24, where f(t) represents the height in feet and t is seconds.
A. How high was the boy before he dove into the lake?
B. How long did it take the boy to reach his maximum height before falling into the lake?
C. What was the boy's maximum height?
I FORGOT HOW TO DO THIS ONE HELP ASAP PLEASE!!!
Answer:
9 is the outlier
Step-by-step explanation:
Answer:
9 cakes
Step-by-step explanation:
An outlier is a piece of data that is largely different from the overall trend. When the data is graphed, the outliers lie far away from the trend line or cluster of points.
In this case, most of the points are plotted between {0} and {6} cakes. The value of {9} cakes lies far from the rest of the graphed data. So, 9 cakes is our outlier.
I hope this helps you ^^
Good luck :)
Question Help
A company that makes hair-care products had 7,000 people try a new shampoo. Of the 7,000
nennle, 28 had a mild allergic reaction. What percent of the people had a mild allergic reaction
Answer:
.3%, 21/7000=.003
Step-by-step explanation:
to make it by percent you multipy by 100
This isn’t a math question but I need help!!!
This boy in my class asked for my number and keeps giving me gifts. He always looks at me in class and acts shy around me when he’s normally loud and outgoing. Do you think he likes me? I don’t wanna ask my friends because I’m too embarrassed so I need help here!!!
Write the equation in standard form for the circle with radius 6 centered at the origin.
Answer:
So, if the center is (0,0) and the radius is 6, an equation of the circle is: (x-0)2 + (y-0)2 = 62.
Step-by-step explanation:
please mark this answer as brainliest
The equation in standard form for the circle with radius 6 centered at the origin will be x² + y² = 36.
What is the equation of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let r be the radius of the circle and the location of the center of the circle be (h, k).
Then the equation of the circle is given as,
(x - h)² + (y - k)² = r²
The radius of the circle is 6 units and has a center at the origin. Then the equation is given as,
(x - 0)² + (y - 0)² = 6²
x² + y² = 36
The equation in standard form for the circle with radius 6 centered at the origin will be x² + y² = 36.
More about the equation of the circle link is given below.
https://brainly.com/question/10618691
#SPJ2
Tony is the staff manager of a movie theater, and he is trying to decide which shifts should have the greatest number of employees on staff. Over the course of a week, Tony recorded how many customers appeared during each shift, the results of which can be seen in the graph below.
A bar graph titled Customers in One Week has Shift Start Time on the x-axis and Number of customers on the y-axis. 10 a m, 121; 1 p m, 156; 4 p m, 378; 7 p m, 671; 10 p m, 458.
Tony wants the distribution of his employees to match the distribution of the customers. If Tony has 230 total employees, how many should he assign to the 1:00 p.m. shift?
a.
15
b.
20
c.
68
d.
156
Answer:
B is right I can confirm since i got a 100% on edg
Step-by-step explanation:
The manager should assign 20 people at 1 p. m.
What is percentage?A relative value indicating hundredth parts of any quantity.
If we look at the data.
The total number of customers =1784
At 1 pm, No. of Customers =156
So, 156 is 8.74% of 1784
If there are 230 employees, then at 1 pm the manage should assign
=[tex]8.74[/tex] % of 230
= 20.10
= 20 employees
Learn more about percentage here:
https://brainly.com/question/14801224
#SPJ1
d + 33 = 77
d = what?
Answer: d=44
Step-by-step explanation: Hope this help :D, Can you mark me Brainliest I really needed it please!
What is seen in the middle of March and April that can’t be seen at the beginning or end of either month?
Answer:
"R"
Step-by-step explanation:
When we write March as m a R c h, we can clearly see that the letter “R” is in the middle of the word. And when we write April as a p R i l, we then can clearly say that the letter “R” is in the middle.
Help please no links!! Step by step
Answer:
128 m^3
Step-by-step explanation:
The volume of the rectangular prism base is (8 m)(8 m)(10 m), or 640 m^3.
The triangular 'cap' has a base area of 64 m^2 and a height of 6 m, and thus a volume of (1/3)(64 m^2)(6 m) = 128 m^3
what is the distance between (12,12) (-12,-12)
Answer:
[tex]24\sqrt{2}[/tex] or 33.94112
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
[tex]d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }[/tex]
d = distance
[tex](x_{1}, y_{1})[/tex] = coordinates of the first point
[tex](x_{2}, y_{2})[/tex] = coordinates of the second point
HELPPPP ME PLZ I’ll give you brainliest
Step-by-step explanation:
can someone help please
Answer:
8,-2
Step-by-step explanation:
Answer:
(8,-2)
Step-by-step explanation:
It reflected over the x-axis (basically flipped downwards), meaning x = 8 and y = -2
Why do you need a common denominator to work with some algebraic fractions and rational expressions?
Answer:
Because you need to be able to have a common demoniator in order to cancel out certain steps. For instance you cannot add or subtract fractions without having a common denominator.
Step-by-step explanation:
20 points and brainiest. Are the two figures similar?
A. They are similar. The scale factor is __. (Simplify your answer)
Answer:
reload this the picture isn't showing
4 less than half a number is 21
Answer: X=50
Step-by-step explanation:
Data: 4 less than half of a number(x) is 21
Step one, make an equation
(x/2)-4=21
The reason for this is that since we know that 21 is 4 less than half the number(x) we can assume that dividing x by 2 will get half of it and by subtracting 4, we can get 21 which why it equals 21. By having it in an equation, it makes it easier to solve.
Step two, Start isolating x by adding 4 on both sides
(x/2)-4+4=21+4=(x/2)=25
The reason for this is that we have to find what x is which is done by isolating it. So if you add 4, you get rid of the -4 which helps isolate x and what you do to one side, you do to the other so you add 4 to 21 as well
Step three, multiply by 2 on both sides
(x/2)x2=25x2=X=50
The reason for this is that /2 is next to x so to isolate you have to get rid of it by multiplying by 2 and since what you do to one side you do to the other, you multiply 25 by 2 to get 50.
Answer: X=50
I hope this helps!
Tony wants to purchase a football for $44. He has a coupon for 30% off. Which is the price of the football
with the coupon?
Answer:
$32.02
just find 30% of 44
