Answer:
3 cm
Step-by-step explanation:
To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).
From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:
6 = r · 2
Solving the equation gives us r = 3 cm. Hope this helps!
On a given planet the weight of an object varies directly with the mass of an object. Suppose that an object whose mass is 3kg weighs 21N. Find the weight of an object whose mass is 7kg
10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?
Answer: -6
Step-by-step explanation:
The graph of g is the graph of f translated left 6 units.
Find the value of x
A. 4
B. 10
C. 17
D. 25
Answer:
X can be any of those numbers depending on which equation it is in
Step-by-step explanation:
Write the point-slope form of a line that has slope −7 and passes through the point (4, 8)
Answer:
y = -7x + 36
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
y1 = y-value of a point on a linem = slopex1 = x-value of a point on a lineSubstitue 8 for y1, and 4 for x1, and -7 for m:
y - y1 = m(x - x1)
y - 8 = -7(x - 4)
Solve:
y - 8 = -7(x - 4) <== distribute -7
y - 8 = -7x + 28 <== add 8 to both sides
+ 8 + 8
y = -7x + 36
Therefore, the point-slope of the line is y = -7x + 36
Check your answer using (4, 8):
y = -7x + 36
8 = -7(4) + 36
8 = -28 + 36
8 = 8
This statement is correct
Hope this helps!
Help help help help math
Answer:
Step-by-step explanation:
2x+y
=2(2)+1
=4+1
=5
Answer:
5
Step-by-step explanation:
Sub x=2, y = 1
2(x) + y = 5
2(2) + 1 = 5
What in the cinnamon toast crunch is 2+ x= 1
Answer:
x = -1
Step-by-step explanation:
Find the area of the triangle with the following coordinates. A (-5,9) B (1,-7) C (8,4)
QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.
A. (-5,9)
B . (1,-7)
C . (8,4)
ANSWER :> A.
(-5,9).
HOPE IT HELPS
THANK ME LATER.
#CARY ON LEARNING12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.
The answer to this question is in the picture which is 0.56% to 2dp
Answer:
5.60%
Step-by-step explanation:
We can use the formula for simple interest to solve this problem. The formula is:
[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]
Where:
SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in yearsIf $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:
[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]
In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:
[tex]1177.12=\frac{4204*5*r}{100}[/tex]
Doing Criss cross multiplication
[tex]r=\frac{1177.12*100}{4204*5}[/tex]
r=5.60 %
To two decimal places, the interest rate r is 5.60 %.
. What is 1- 87+23
What is 5- 700÷7
Step-by-step explanation:
[tex]1 - 87 + 23 \\ = - 86 + 23 \\ = - 63 \\ \\ \\ \\ 5 - 700 \div 7 \\ = 5 - 100 \ \\ = - 95[/tex]
hope it helps ..
need help ASAP will mark BRAINLIEST
Answer:
28 square inches
Step-by-step explanation:
There will be 4 sectors in a circle each having 90° central angle.
-> Area of circle = 4*Area of sector of circle having central angle 90°
= 4*7
= 28 sq inches
Which table represents a linear function?
x
X
y
x
х
y
1
y
0
y
1
0
0
0
0
0
1
2
1
1
1
1
1
3
AN
low
N
4
3
2
0
N
5
2
3
3 3
8.
3
6
3
1
3
7
O
o
Answer:
(d) see attached
Step-by-step explanation:
A linear function has equally-spaced outputs for equally-spaced inputs. The given tables all have sequential values for x, so we can find the linear function by looking at the differences of y-values.
a) 2 -1 ≠ 4 - 2 . . . . not linear (exponential)
b) 1 -0 ≠ 3 -1 . . . . not linear (quadratic)
c) 1 - 0 ≠ 0 - 1 . . . . not linear
d) 3 -1 = 5 -3 = 7 -5 . . . . a linear function
Letter D. A linear function.
Step-by-step explanation:
# Brainliest Bunch
evaluate the equation: F( 2 ) =
Answer:
3
Step-by-step explanation:
it's basically asking what is the y value that corresponded to x = 2
that value is 3.
16 PTS AND BRAINLIEST A book store manager took several random surveys of customers to determine which book genre they purchased most frequently. This table shows the average of each survey.
Based on the data shown in the table, which conclusions can be made about the frequency that customers purchase a genre?
Select each correct answer.
On average, 1 out of 6 customers purchases fantasy books most frequently.
On average, 24% of the customers purchase autobiographies most frequently.
On average, 22% of the customers purchase romance books most frequently.
On average, 2 out of 10 customers, purchase health and wellness books most frequently.
Book Genre Average of Surveys
Autobiographies 24
Mystery 11
Romance 22
Health and Wellness 18
Fantasy 15
Answer:
1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.
Step-by-step explanation:
Simply check each number of books over the total than see if it matches the percentage assumed.
Fantasy over total books = 15/90 which is 1/6 So that is correct
Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.
Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.
And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.
Hope this helps, and please mark me brainliest!
write a polynomial f(x) of lowest degree that satisfies the given conditions. Zeros: -4, multiplicity 1; 3 multiplicity 2; and f(0)=-108
Answer:
First start with the factors
(3x+5)(3x+5)(6x-1) The multiplicity of 2 means there are 2 of that same factor.
Next, figure out how to get it to go through the point (0,50) Plug in these points, solve for a
50=a(3(0)+5)(3(0)+5)(6(0)-1)
50=a(5)(5)(-1)
50=-25a Divide both sides by -25
-2=a Plug this in
y=-2(3x+5)(3x+5)(6x-1) Now multiply the factors out. Will start by FOILING the first 2 factors
y=-2(9x2+30x+25)(6x-1) Now multiply the remaining factors together
y=-2(54x3+180x2+150x-9x2-30x-25) Combine like terms
y=-2(54x3+171x2+120x-25) Distribute the -2
y=-108x3-342x2-240x+50
Coach Jill brought 28 L of sports drink to the soccer game. She divided the sports frink equally between 7 coolers. How many mL of sports drink did coach jill put in each cooler?
Answer:
400ml
Step-by-step explanation:
1 cooler=28L÷7=4L
1L=100ml
4L=400ml(Ans)
cumulated Depreciation and Fees Earned would be sorted to which respective columns in completing a work
eet?
ect one:
. a. Balance Sheet and Statement of Owner's Equity-Credit; and Income Statement-Credit.
b. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Debit.
c. Income Statement-Debit and Income Statement-Credit.
d. Balance Sheet and Statement of Owner's Equity-Debit; and Balance Sheet and Statement of Owner's Equity-
Credit.
e. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
What is an accumulated depreciation?Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.
A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger.
On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.
Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.
Learn more about accumulated depreciation here:
https://brainly.com/question/9041582
Which fraction is equal to 0.3?
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \cos(bx) + k[/tex]
Now, let's find the required values :
period (p) = 6[distance between any successive Crest or trough]
a = - 4 (flipped)b = 2π/p = 2π/6 = π/3k = -2Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2[/tex]
need help really please someone
Answer:
6/8 and 12/16
Step-by-step explanation:
This is because 3/4 x 2/2 = 6/8 and 3/4 x 4/4 = 12/16
Answer:
6/8 and 9/12 are both equal to 3/4
Step-by-step explanation:
You can't simplify but you can make it bigger.
3/4 x 2/2 = 6/8
and
3/4 x 3/3 = 9/12
it should be correct because 3/3 and 2/2 are both equal to 1 which is why they are equivalent.
PLEASE HELP ASAPP!!! (NO LINKS) WILL GIVE BRAINLIEST
Find the number of solutions of
the
equation 6x^2 + 6x + 3 = 0 by
using the discriminant.
(1 solution, 2 solutions, or no
real solutions)
Answer:
No real solutions
Step-by-step explanation:
Discriminant
[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]
[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]
[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]
Given equation: [tex]6x^2+6x+3=0[/tex]
[tex]\implies a=6, \quad b=6, \quad c=3[/tex]
Inputting these values into the discriminant:
[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]
The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is
served. Which of the following statements are correct? Select all that apply.
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball wag 23 feet.
If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.
The graph that models the volleyball's height over time is exponential.
The volleyball was served from a height of 5 feet.
Answer:
1,2, and 5
Step-by-step explanation:
The statements about the function that are correct are:
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.
We have,
The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is served.
Let's analyze each statement:
The volleyball reached its maximum height at 3 seconds.
This statement is correct.
The function h(t) is a quadratic function, and its graph is a parabola that opens downwards.
The vertex of the parabola represents the maximum height of the volleyball.
In this case, the vertex occurs when t = 3 seconds.
The maximum height of the volleyball was 23 feet.
This statement is also correct.
We can see from the function that the maximum height occurs at t = 3 seconds, and substituting t = 3 into the function gives:
h(3) = -2(3 - 3)2 + 23 = 23 feet.
If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.
This statement is incorrect.
To find when the volleyball hits the ground, we need to find when h(t) = 0. Solving -2(t - 3)2 + 23 = 0 gives t = 3 ± √(23/2).
Since the vertex is at t = 3 seconds, the volleyball will hit the ground at the same height it was served, which is h(0) = -2(0 - 3)2 + 23 = 5 feet.
So the time it takes for the volleyball to hit the ground is when h(t) = 0, which occurs at t = 3 ± √(23/2), not 5.5 seconds.
The graph that models the volleyball's height over time is exponential.
This statement is incorrect.
The function h(t) is a quadratic function, not an exponential function.
The volleyball was served from a height of 5 feet.
This statement is also incorrect.
The function h(t) gives the height of the volleyball above the ground, not above the height it was served.
However, we can see from the function that h(0) = -2(0 - 3)2 + 23 = 5 feet, so the volleyball was served from a height of 5 feet above the ground.
Thus,
The statements about the function that are correct are:
The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Find the degree of this polynomial. 19x^9-2x^6+9x^5
Answer:
Step-by-step explanation:
The degree of a polynomial is the variable (in this case 1 variable) raised to the highest power.
Look at the first term: 19x^9
The variable is x
The highest power is 9
So the answer is 9.
............................
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
......................
Step-by-step explanation:
Please help I'll mark brainliest
Answer:
The final answer is 16.
Gd luck with your work! :)
Answer:
Step-by-step explanation:
the sum of two integers is - 120 if one of them is 82 find the other
Answer:
38
Step-by-step explanation:
Here,
Let one of the unknown integer be x whereas the other one be 82 (according to question)
Now,
X+82=120
Or, x=120-82
Or, x=38
Therefore the value of the unknown integer is 38.
a rectangular field is 50 M long and 30 M broad . find a perimeter b) the length of wire required to fence it thrice c)calculate area of a rectangular field
Answer: b) 160 c) 1500
Step-by-step explanation: b) 50 + 50 + 30 + 30 = 160 c) 50 x 30 = 1500
Step-by-step explanation:
[tex]length \: of \: a \: field \: = 50m[/tex]
[tex]breadth \: of \: a \: field \: = 30m[/tex]
[tex]Perimeter \: of \: a \: field \: = ? [/tex]
We know,
Perimeter ( p ) = 2 ( l + b )
= 2 ( 50m + 30m )
= 2 × 80 m
= 160 m
The length of a wire required to fence it thrice
= 3 × 160 m
= 480 m
Area ( A ) = l × b
= 50 × 30 m
[tex] = {1500m}^{2} [/tex]
Given f(x) = x2 + 1 and g(x) = |x + 31| which value of x is a
solution to the equation f(x) = g(x)?
Answer:
the answer is 30..........
Si en total tiene 250 monedas que suman $42.50 ,Cuántas monedas de 25 centavos tiene en su alcancía?
Answer:
65 alojamiento
Step-by-step explanation:
A point on a pre-image is currently located at (1, -3). The pre-image is translated 3
units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper
to sketch the translation if needed.
(3, 4)
(3,4
(4,3)
)
(7.0)
0
(-2.2)
Answer:
(4,3)
Step-by-step explanation:
Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)
Show 9/12 as the sum of unit fractions
[tex]\cfrac{9}{12}\implies \cfrac{1+1+1+1+1+1+1+1+1}{12} \\\\\\ \cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}+\cfrac{1}{12}[/tex]
Answer:
1/4 +1/4 +1/4
or add 1/12 9 times
Step-by-step explanation:
9/12
try to find the greatest common factor of both the numerator and denominator.
(a number that you can divide both the top number and bottom number with)
in this case, the greatest common factor is 3. once you divide the numerator and denominator by 3, it leaves you with a fraction 3/4
you can add 1/4 3 times to get 9/12
1/4 +1/4+1/4
or you could just add 1/12 9 times
