Step-by-step explanation:
= (4+(7-5))^4
= (4+2)^4
= 6^4
= 6×6×6×6
= 1296
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Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?
Answer: 10
Step-by-step explanation:
Answer:
(-8, 10)
Step-by-step explanation:
A P E X
A pendulum is swinging back and forth. After ttt seconds, the horizontal distance from the bob to the place where it was released is given by \qquad H(t) = 7 - 7 \cos \left(\dfrac{2\pi (t-2)}{20}\right)H(t)=7−7cos( 20 2π(t−2) )H, left parenthesis, t, right parenthesis, equals, 7, minus, 7, cosine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 2, right parenthesis, divided by, 20, end fraction, right parenthesis. How often does the bob cross its midline? Give an exact answer
Answer:
Every 10 seconds
Step-by-step explanation:
The bob crosses its midline whenever cos(2π(t-2)/20)=0.
Since cosθ=0 when θ=±π/2 + 2πn, we can find then the bob crosses its midline by solving:
2π(t-2)/20 = ±π/2 + 2πn
t-2 = ±5+20n
The solutions are when t = -3, 7, 17, 27, 37, ...
Therefore, the bob passes its midline every 10 seconds.
What is 18 out of 720 ?
Write as a percent .
Round to the nearest tenth
Answer:
18/720 =2.5% that is the answer
Answer:
2.5%
Step-by-step explanation:
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
18/720 * 100% = 2.5%
find the area of the following compound shape. Pleaseeee helppp. Its urgent!!
Answer:
(bd×ac)÷2
108÷2
54cm^2
Step-by-step explanation:
hope u like the ans
Answer:
54cm
Step-by-step explanation:
AC = 9cm
BD = 12 cm
Area of rhombus = 1/2 × AC × BD
= 1/2× 9×12
= 9× 6
= 54 cm
Charlotte invests £5000.
The bank pays 10% interest for the first year and then y% every year after that.
After three years, Charlotte has £5610.55
Calculate y
Answer:
y = 1%
Step-by-step explanation:
From the formula;
Interest; i = PRT/100
P = £5000
R = 10%
After 1 year, we have;
i = 5000 × 10 × 1/100 = £500
Amount is now; 5000 + 500 = £5500
Since interest rate is now y% every year after the first one, then;
After 2nd year;
i = (5500 × y × 1)/100
i = 55y
So amount is now;
5500 + 55y
After 3rd year, interest is now;
i = (5500 + 55y) × y × 1/100
i = 55 + 0.55y²
Amount is now;
(5500 + 55y) + (55 + 0.55y²)
Since she has £5610.55 after 3 years, then;
(5500 + 55y) + (55 + 0.55y²) = 5610.55
0.55y² + 55y + 5555 - 5610.55 = 0
0.55y² + 55y - 55.55 = 0
From quadratic formula, y = 1%
Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter
Answer:
x = 6
Step-by-step explanation:
sin 30° = 3/x
0.5 = 3/x
.5x = 3
x = 3/.5
x = 6
The indicated side of the right-angled triangle is 6.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
The triangle is a right-angled triangle.
So, we know,
SinФ = perpendicular / hypotenuse.
And here, perpendicular = 3 unit
And hypotenuse = x unit
Substituting the values,
Sin30° = 3/x
1/2 = 3/x
x = 6
Therefore, the value of x is 6.
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Help it’s due today
Answer:
the second one and the fourth one
Step-by-step explanation:
Find the missing side of this right
triangle.
Х
7
14
x =
Answer:
Sqrt 245
Step-by-step explanation:
That's the answer
According to Pythagoras' Theorem
[tex]h^{2} = a^2 + b^2[/tex]
[tex]h^{2}[/tex] [tex]= 7^{2} + 14^2[/tex]
[tex]h^{2}[/tex] = 49 + 196
h = [tex]\sqrt{245}[/tex]
According to diagram x = sqrt 245
What is Pythagoras' hypothesis?
Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.
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Peter and Jane have some money in the ratio 1:3
Jane has £12 more than Peter how much money does Peter have?
Answer:
Peter has 6 dollars.
Step-by-step explanation:
The ratio is 1:3, meaning Jane has 3x more money than Peter. Or, Peter has 1/3 as much money as Jane. You know that Jane has 12 dollars more than Peter so you can think of scenarios. Because it is a 1/3 the answer for Peters money has to be 1/3 of Janes, so Peter has 6 dollars, and Jane has 12 more, so Jane has 18 dollars.
ngths. Find Complete the fact Triangle. Write
er field. the fact family
70 yd
X,
6
7
Answer:
1
Step-by-step explanation:
Some one help please
Reflect the point ( 7, 1) on the line y=x.
Answer: (1, 7)
Step-by-step explanation:
When you reflect over the line y = x, the x and y switch places so it goes from (x, y) to (y, x)
(7, 1) to (1, 7)
subtract the sum of all prime numbers between 10 and 20 from the sum of all composite number between 10 and 20 what is it
Answer:
18
Step-by-step explanation:
can someone help me find the prerimter of this shape
Answer:
114
Step-by-step explanation:
If this answer helped you then please mark it as brainliest so I can get to the next rank
1/3 x 28
I NEED IT NOW
Answer:
28/3
Step-by-step explanation:
Answer:
28/3
Step-by-step explanation:
1/3 * 28 = 28/3
I hope this helps xx
what is each measure of the rhombus?
Simplify the following expression.
(9x2 - 2x + 7) + (4x2 + 7x + 2)
A.
13x2 + 5x + 9
B.
5x2 + 5x + 5
C.
13x2 + 9x - 9
D.
13x2 + 9x + 9
Step-by-step explanation:
(9x2 - 2x +7) +(4x2+7x +2)
9x2 - 2x +7 +4x2 +7x +2
13x2 +5x +9
Answer:
A. 13x2 + 5x + 9
Step-by-step explanation:
use math-way it helps with problems like this
find an equivalent expression for the given expression: 36x + 24
4 (9x + 8)
12 (3x + 3)
4 (9x + 7)
2 (18x + 12)
The equivalent expression for the given expression 36x + 24 is 2 (18x + 12). Option D
What are algebraic expressions?Algebraic expressions are defined as expressions made of mathematical operation like;
MultiplicationAdditionSubtractionDivisionBracketParenthesis, etcThese expressions also consist of terms, coefficients, variables, factors and constants.
What is factorization?Factorization can be defined as a mathematical method of writing a number or mathematical element as a product of several other factors.
Note also that equivalent expressions have the s
Given the expression;
36x + 24
Factorize common term, we have
2(18x + 12)
Thus, the equivalent expression is 2(18x + 12)
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Need help as fast as possible please
I will mark BRAINLIST only for correct answers :)
Thank you!
Answer:
Correct Answer
Step-by-step explanation:
Mark as brainliest now NOW!
Dilate tge solid citcle by a scale factor of?
height of a cone is 30cm, its slant height is 32 cm, then the radius is- ?
Given:
Height of a cone is 30cm, its slant height is 34 cm.
To find:
The radius of the cone.
Solution:
Using the Pythagoras theorem, the relation between Height, radius and slant height is
[tex]r^2+h^2=l^2[/tex]
[tex]r^2=l^2-h^2[/tex]
Where, r is radius, h is height and l is the slant height.
Putting the given values, we get
[tex]r^2=(34)^2-(30)^2[/tex]
[tex]r^2=1156-900[/tex]
[tex]r^2=256[/tex]
Taking square root on both sides.
[tex]r=\pm\sqrt{256}[/tex]
[tex]r=\pm 16[/tex]
Radius cannot be negative. So, r=16 cm.
Therefore, the correct option is b.
i don’t understand my homework?
Answer:
x = 140
Step-by-step explanation:
40 * 2 + 2x = 360
80 + 2x = 360
2x = 280
x = 140
a circle is drawn through (3,2),(-1,-2) and (5,-4).find the:(a) coordinates of the centre of the circle,(b) radius of the circle,(c) equation of the circle,showing
working.
Answer:
Step-by-step explanation:
The distance from the centre to any point on the circle is called the 'radius'. ... (i) Find the centre and radius of the circle (x-2)2+(y + 5)2 =9. ... Find the equation of the circle which has the line segment from a(-4, 3) to b(2, 1) as diameter. ... b and c. 22. Find the equation of the circle with centre (1, 3) and having the line 3x + 4y ...
Why did the student dislike the average teacher
Answer:
The teacher disliked her average student because he was like all the other students???
Why is math so hard to learn?
Answer:
why does math even exist
Step-by-step explanation:
Given the function h(x)=-x^2+x+4, determine the average rate of change of the function over the interval −1≤x≤5.
Answer:
average rate of change of h(x) on −1 ≤ x ≤ 5 is then 5
Step-by-step explanation:
change in h(x)
average rate of change = ------------------------
change in x
Calculate h(x) at the interval endpoints: -1 ≤ x ≤ 5, and then subtract h(5) from h(-1):
h(5) = (5)² + 5 + 4 = 34
h(-1) = (-1)² -1 + 4 = 4
change in h(x) = 34 - 4 = 30
change in x: 5 - (-1) = 6 30
average rate of change of h(x) on −1≤x≤5 is then ------------- = 5
6
Select ALL the correct answers.
Which of these numbers are greater than 3.2 × 10-3?
2.1 × 10-3
4.2 × 10-4
5.2 × 10-2
5.2 × 10-1
Answer:5.2 x 10-1
Step-by-step explanation:hope i could help ;)
18 decreased 12%
NEED HELP ASAP
Answer:
17.88
Step-by-step explanation:
18- 12/ 100=
447/24=
then simplify
Answer:
20.16
Step-by-step explanation:- 12% × 18 =
- 12 ÷ 100 × 18 =
- 12 × 18 ÷ 100 =
- 216 ÷ 100 =
- 2.16
Order these numbers from least to greatest. 6.992, 6.99, 13/2, 6 5/9
Answer:
13/2, 6 5/9, 6.99, 6.992
Step-by-step explanation:
Find (f x g)(2)? Thanks
Let me break this up.
Note: (f o g)(2) = f(g(2)).
Note: g(2) = (2, 2) means when x is 2 y is 2.
In other words, g(2) is 2.
We know that f(g(2)) = f(2).
You can see that f(2) = -3. This is given in the point (2, -3).
So, f(g(2)) = -3.
Done.
