Answer:
θ = 52.71° or 232.71°
In radians
θ = 0.2928π rad or 1.2928π rad
That is,
θ = 0.92 rad or 4.06 rad
Step-by-step explanation:
Cot θ = 0.7615 for 0 ≤ θ ≤ 2π
Note that Cot θ = (1/tan θ)
(1/tan θ) = 0 7615
tan θ = (1/0.7615) = 1.3132
θ = tan⁻¹ (1.3132) = 52.71°
But, note that tan is also positive in the 3rd quadrant, hence,
θ is also equal to 180° + 52.71° = 232.71°
θ = 52.71° or 232.71°
We now convert to radians
360° = 2π
52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian
232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians
Hope this Helps!!!
hi, can someone pls help me? I really don’t understand this
Answer: 1 is not, 2 is, 3 is, 4 is, 5 is, 6 is not
Step-by-step explanation:
1 is not because 2 has two arrows coming off of it and each input can only have one output. 6 is not because if you draw a line down the graph it will hit the figure more than once( this is called the pencil drop test)
Function is an assignation that for each element of first set assigns one and only one element from second set.
1) NO {element 2 from set one has assigned two elements (b, c) from set two}
2) YES
3) YES {several elements from set one can have assigned the same element from set two}
4), 5) YES
6) NO {for x from about -4 to about 0.5 there are two y}
What is the answer for 7x-4=73
Answer:
11
Step-by-step explanation:
7x-4=73
7x = 4+73
7x = 77
7x/7 = 77/7
x = 11
help me check pls! thanks!!
Answer:
A
Step-by-step explanation:
The slope of function M is 5x and so that is a 2 difference
Answer:
The rates of change is different by 2
Step-by-step explanation:
Function M
m = (y2-y1)/(x2-x1)
= (21-11)/(4-2)
= 10/2
=5
Function P has a slope of 7
The difference ins the rate of change is 7-5 =2
URGENT PLEASE HELP IM BEGGING YOU
In this activity, you will find and interpret the average rate of change of a polynomial function.
Part A
The polynomial function y = -0.00584 +0.05x3 -0.086x2 - 0.04x + 2.52 represents the fluctuating gas price in dollars per
gallon) in a city over the course of 6 years. Calculate the average rate of change from year 0 to year 2, and then calculate
the average rate of change from year 3 to year 6.
Answer:
The average rate of change from year 0 to year 2 is
[tex]change = -0.0585[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = -0.0129[/tex]
Step-by-step explanation:
The average rate of change describes the average rate at which gas price in dollars per gallon is changing with respect to time (years)
The given polynomial function is
[tex]y = -0.0058x^4 +0.05x^3 -0.086x^2 - 0.04x + 2.52[/tex]
Calculate the average rate of change from year 0 to year 2.
For year x = 0
[tex]y = -0.0058(0)^4 +0.05(0)^3 -0.086(0)^2 - 0.04(0) + 2.52 \\\\y = 2.52[/tex]
For year x = 2
[tex]y = -0.0058(2)^4 +0.05(2)^3 -0.086(2)^2 - 0.04(2) + 2.52 \\\\y = -0.0928 + 0.4 - 0.344 - 0.08 + 2.52 \\\\y = 2.403[/tex]
The average rate of change from year 0 to year 2 is
[tex]change = \frac{y(2) - y(0)}{x(2) - x(0)} \\\\change = \frac{ 2.403- 2.52}{2 - 0} \\\\change = \frac{-0.117}{2} \\\\change = -0.0585[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
The average rate of change from year 3 to year 6 is
For year x = 3
[tex]y = -0.0058(3)^4 +0.05(3)^3 -0.086(3)^2 - 0.04(3) + 2.52 \\\\y = -0.4698 + 1.35 - 0.774 - 0.12 + 2.52 \\\\y = 2.506[/tex]
For year x = 6
[tex]y = -0.0058(6)^4 +0.05(6)^3 -0.086(6)^2 - 0.04(6) + 2.52 \\\\y = -7.5168 + 10.8 - 3.096 - 0.24 + 2.52 \\\\ y = 2.4672[/tex]
The average rate of change from year 3 to year 6 is
[tex]change = \frac{y(6) - y(3)}{x(6) - x(3)} \\\\change = \frac{ 2.4672- 2.506}{6 - 3} \\\\change = \frac{-0.0388}{3} \\\\change = -0.0129[/tex]
The negative sign indicates that the gas price has decreased from year 0 to year 2.
I need help with this ASAP please..Thanks
Answer:
the answer is 1/12
Step-by-step explanation:
you only have one diamond, and 12 possible outcomes
I NEED HELP ASAP
The line of best fit in the scatter plot represents the average customer rating at Mike's BBQ Shop over time. Mike's BBQ Shop started with an average customer rating of ....
Answer:
4
Step-by-step explanation:
Month 1- average rating as er graph is 4 point (1,4)
Rating was 4 at the beginning, then was stable for 2 months at 3, then increased over time up to 8 at month 10, point (10, 8)
In a right triangle P Q R,∠Q=90 a)If P Q = 8 cm, QR = 15 cm, find PR .b)If PR = 10 cm, P Q = 8 cm, find QR.
Step-by-step explanation:
because we know that both of these parts have to do with right triangles, we know that we can use the Pythagorean theorem.
since q is the right angle, you know that any line segment with q is a leg of the triangle
A.)
a^2 + b^2 = c^2 (add in values)
8^2 + 15^2 = c^2 (a=pq and b=qr) SIMPLIFY
64 + 225 = 289 (add)
find the square root of 289 = 17 so pr = 17
B.
This time we are using one leg (pq) and the hypotenuse (pr) to find the other leg
a^2 + b^2 = c^2 (sub the numbers in)
a^2 + 8^2 = 10^2 (simplify)
a^2 + 64 = 100 (subtract 64 on both sides)
a^2 = 36
the square root of 36 is 6 so qr = 6
If you vertically compress the absolute value parent function, f(x) = [ 41, by a
factor of 5, what is the equation of the new function?
A. g(x) = 1/5 |x|
B. g(x) = |x - 5|
C. g(x) = |5x|
D. g(x) = 5|x|
Answer:
[tex]g(x) = \frac{1}{5} |x|[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x|[/tex]
Vertically compressed
Compression Factor = 5
Required
Find the equation of the new function;
Let the new function be represented by g(x)
Let c represented the compression factor;
such that c = 5
When a function f(x) is vertically compressed by factor c, the new function becomes
[tex]f(\frac{1}{c}x)[/tex]
From properties of functions;
[tex]f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]
This implies that
[tex]g(x) = f(\frac{1}{c}x) = \frac{1}{c} *f(x)[/tex]
[tex]g(x) = \frac{1}{c} *f(x)[/tex]
Recall that [tex]f(x) = |x|[/tex] and c = 5
[tex]g(x) = \frac{1}{5} * |x|[/tex]
[tex]g(x) = \frac{1}{5} |x|[/tex]
Hence, the new function is [tex]g(x) = \frac{1}{5} |x|[/tex]
Answer:
G(x)=1/5 |x|
Step-by-step explanation:
A p e x
Delaware was the first state to enter the Union and Hawaii was the 50th. If we order the positions of entry for the rest of the states, we find that State A entered the Union right after State B, and the product of their order-of-entry numbers is 132. Use the given information to complete each statement. State A was the th state to enter the Union. State B was the th state to enter the Union.
Answer:
State A was the 12th state to enter the Union. State B was the 11th state to enter the Union.
Step-by-step explanation:
Let's call x to the order-of-entry of State B, therefore the order-of-entry of State A is x+1. Given that he product of their order-of-entry numbers is 132:
x*(x+1) = 132
x² + x - 132 = 0
Using quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 -4(a)(c)}}{2(a)} [/tex]
[tex]x = \frac{-1 \pm \sqrt{1^2 -4(1)(-132)}}{2(1)} [/tex]
[tex]x = \frac{-1 \pm 23}{2} [/tex]
[tex]x_1 = \frac{-1 + 23}{2} [/tex]
[tex]x_1 = 11 [/tex]
[tex]x_2 = \frac{-1 - 23}{2} [/tex]
[tex]x_2 = -12[/tex]
The negative solution has no sense in the context of our problem, then the solution is x = 11.
Which of the following numbers is the largest?
A) 13 hundredths
B) 0.026
C) 8 thousand
D) 0.1
Answer:
Hi your answer should be 8 thousand
Step-by-step explanation:
Answer:
c ( 8000)
Step-by-step explanation:
A comes out 0.13
B is 0.026
c is 8000
D is 0.1
Absolutely c is the right answer.
Please mark me brainliest. I need to rank up.
Which transformations could be performed to show that
AABC is similar to AA"B"C"?
Answer:
add a picture
Step-by-step explanation:
What is the median for the set of data? 1 3 3.5 4
Answer:
The median is 3.25
Step-by-step explanation:
First put the data in order from smallest to largest
1 3 3.5 4
The median is the middle of the data
1 3 3.5 4
It falls between 2 data points so take the average of those two data points
(3 + 3.5)/2
6.5 /2 = 3.25
The median is 3.25
Shannon paid $57.25 for 28 pounds of potatoes. Shannon estimated the cost per pound to be $3.00. What is her error? Shannon rounded $57.25 to $40 and 28 pounds to 20 before dividing. Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing. Shannon rounded $57.25 to $40 and 28 pounds to 30 before dividing. Shannon rounded $57.25 to $60 and 28 pounds to 40 before dividing.
Answer:
Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing
Step-by-step explanation:
When she rounded $57.25 to $60 and 28 pounds to 20, the result she got was 60/20=$3. The issue was this is that she rounded up for the dividend and rounded down the divisor, leading to a much bigger estimate than the real answer. Hope this helps!
The error she did was Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing , Option B is the answer.
What is meaning of Error ?Error is the calculation mistake done while doing mathematical operations.
It is given that
Shannon paid $57.25 for 28 pounds of potatoes.
She paid $57.25 /28 = $ 2.045 for 1 pound of potato
She estimated the cost per pound to be $3.00
which means $0.955 more than the actual cost
The error she did was Shannon rounded $57.25 to $60 and 28 pounds to 20 before dividing.
$60/20 = $3
Therefore Option B is the answer.
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Apply the binomial theorem to 210 = (1 + 1)10 . Answer each question in the work area provided below. 1. Write out the equation using combination notation. 2. Simplify each term. Do not combine the terms. 3. In two or more complete sentences, describe the relationship between the terms of the equation and the number of combinations when flipping a coin 10 times. 4. What is the theoretical probability of getting exactly 5 heads in a sequence of 10 flips? 5. In two or more complete sentences, compare the theoretical probability of getting exactly 5 heads with the fraction in your histogram. Interpret any differences.
Answer:
The following are the answer to this question:
Step-by-step explanation:
Binomial theorem Expression:
[tex]\bold{(x+y)^n= {^n}C_0x^ny^0+{^n}C_1x^{n-1}y^1+{^n}C_2x^{n-2}y^2+...+{^n}C_{\gamma}x^{n-\gamma}y^\gamma}+...+ {^n}C_nx^0y^n[/tex]Solution:
1)
[tex]\to 2^{10} = (1 + 1)^{10}[/tex]
[tex]= (1+1)^{10}= {^{10}}C_0\times 1^{10}\times 1^0+{^{10}}C_1\times 1^{9}\times 1^1+{^{10}}C_2\times 1^{8}\times 1^2+ \\ {^{10}}C_3 \times 1^{7}\times 1^3+{^{10}}C_4 \times 1^{6}\times 1^4+ {^{10}}C_5\times 1^{5}\times 1^5 \\+ {^{10}}C_6 \times 1^{4}\times 1^6+....+{^{10}}C_{10}\times 1^{0}\times 1^{10}[/tex]
[tex]= {^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]
2)
Simplify:
[tex](1+1)^{10}=[/tex]
[tex]{^{10}}C_0. 1^{10}. 1^0+{^{10}}C_1.1^{9}. 1^1+{^{10}}C_2.1^{8}.1^2+\\{^{10}}C_3.1^{7}.1^3+{^{10}}C_4. 1^{6}. 1^4+ {^{10}}C_5.1^{5}. 1^5 + {^{10}}C_6 . 1^{4}. 1^6+ \\ {^{10}}C_7 . 1^{3}. 1^7 + {^{10}}C_8 . 1^{2}. 1^8+ {^{10}}C_9 . 1^{1}. 1^9+{^{10}}C_{10}. 1^{0}. 1^{10}\\[/tex]
[tex]=1+10+45+120+210+252+210+120+45+10+1\\\\=1024[/tex]
3)
The [tex]r^{th}[/tex] word is the number of variations where a coin is redirected 10 times.
4)
Get the frequency of exactly five heads is: [tex]{^{10}}C_{5}[/tex] = 252
[tex]=\frac{252}{1024}\\\\=\frac{126}{512}\\\\=\frac{63}{256}\\\\=0.24[/tex]
5)
To Get 5 heads will be:
[tex]={^{10}}C_{5} \times (\frac{1}{2})^{10}\\\\=\frac{{^{10}}C_{5}}{2^{10}}\\\\=0.24[/tex]
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books, b, that he purchases in a year: C(b) = 2.75b + 10 Which statements are true about the variables in the yearly cost function? Check all that apply. A. The number of books purchased is the independent variable. B. The input is the yearly cost. C. The total yearly cost depends on the number of books purchased. D. The number of books purchased is determined by the yearly cost. E. The output is the yearly cost.
Answer: A, C, and E
Step-by-step explanation:
Hi, to answer this question we have to analyze the function given:
C(b) = 2.75b + 10
Where:
Independent variable: b (number of books) Input = b Output = C = annual cost Dependent variable = C (depends on b, the independent variable)So:
A. The number of books purchased is the independent variable. TRUE
B. The input is the yearly cost. (FALSE, the input is the number of books )
C. The total yearly cost depends on the number of books purchased. TRUE
D. The number of books purchased is determined by the yearly cost. FALSE , the yearly cost is determined by the number
of books.
E. The output is the yearly cost.TRUE
Answer:
A)The number of books purchased is the independent variable.
C)The total yearly cost depends on the number of books purchased.
E)The output is the yearly cost.
those are your corrected answers
Step-by-step explanation:
which of the following equations describe the line shown below? check all that apply. Please Help!
Answer:
A & F
Step-by-step explanation:
if you look at the other question I answered for you, you can see the work. but basically you can figure out slope by doing m=y2-y1/x2-x1.
so we now know the slope is 1/4. which eliminates choices B, D, E.
we see that C will not work because the x and y values are switched.
according to point slope formula A & F work.
PLeaSe HeLP!!! aSaP!!! WiLL MaRK BRaNLieST!!! Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digits.
Answer:
Y = 2
E = 9
A = 1
R = 0
Step-by-step explanation:
2222 - 999 + 11 - 0 =1234
Find the surface area of the triangular prism shown below.
units2
5
7
Danny tosses a ball into the air. Its height, as a function of time, is
modeled by y = -16x2 +9x +4. Which statement best describes the
function? (SIDE NOTE: This is not a test, for the last time this isn't a test to me brainly)
1. The function is linear.
2. The function is linear at some points and nonlinear at other points.
3. The function is nonlinear
4. Not enough information is given to decide.
Answer:
Nonlinear- it is a quadratic, which is a parabola, not a linear graph.
Step-by-step explanation:
Answer:
It's Nonlinear
Pls help me with geometry
Answer:
x = 20
y = 73
Step-by-step explanation:
8x - 87 + 7x - 33 = 180
15x = 180 + 87 + 33
15x = 300
x = 20
8x - 87 = y
160 - 87 = y
y = 73
Are triangles DEF and LNM similar if LN equals 5 MN equals 3 DE equals 10 and FE equals 6
A. No the corresponding sides are not proportional
B. No the corresponding angles are not congruent
C. Yes by the SSS Similarity Postulate
D. Yes by the SAS Similarity Postulate
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
D. SAS Similarity Postulate
Step-by-step explanation:
I got it right on the test
Which is the completely factored form of her polynomial? (3x2 – 5) (x + 8) (3x2 – 8) (x + 5) (3x2 + 8) (x – 5) (3x2 + 5) (x – 8)
Answer:
Could not factorize any further!
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
(3x2 + 8) (x – 5)
What is the solution set of -lx| = -8?
O {8}
O {-8}
O {-8, 8}
O no solution
Answer:
O {-8, 8}
Step-by-step explanation:
[tex]-|x| = -8\\\\\frac{-|x|=-8}{-1}\\\\|x|=8\\\\\text{Apply rule: If } |u|=a, a > 0, \text {then } u=a \text { or } u=-a\\\\\boxed {x = -8, x = 8}[/tex]
Which of the following are correct steps in finding the centroid of triangle CDE? Check all that apply.
a. Construct an altitude through C.
b. Construct a median through E.
c. Construct a perpendicular bisector to side DE.
d. Construct a line perpendicular to side CE through D.
e. Bisect side CD.
Please Solve |y - 2|<10
Answer:
[tex]-8<y<12[/tex]
Step-by-step explanation:
[tex]|y - 2|<10[/tex]
[tex]-10<y-2<10[/tex]
[tex]-10+2<y-2+2<10+2[/tex]
[tex]-8<y<12[/tex]
Answer: y<12 and y>−8
Step-by-step explanation:
Picture attached:
work out the greatest integer value of x that satisfies the inequality 3x+10<1
3x + 10 < 1
Subtract 10 from both sides:
3x < -9
Divide both sides by 3:
X < -3
Since x needs to be less than -3 the greatest internet would be -4
x2 + 2 – 42 = 0.
Solve quadratic equation
Answer:
-2√10, 2√10
Step-by-step explanation:
Graphing x²-40 would be the fastest way to go. However, because this is not factorable, you have to use the quadratic formula to solve it if you want to do it algebraically.
Answer:
[tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex]
Step-by-step explanation:
(x^2) + 2 - 42 = 0
(x^2) - 40 = o
x =± [tex]\sqrt{40\\}[/tex]
x =± [tex]2\sqrt{10}[/tex]
Therefore x = [tex]2\sqrt{10}[/tex], -[tex]2\sqrt{10}[/tex],
What is the area of the regular heptagon shown below? (Round your answer
to the nearest whole number
Answer:
1783 sq. Units
Step-by-step explanation:
Which Statement is NOT true?
Answer:
D
Step-by-step explanation:
i beleive the answer is D
random words so brainly doesnt delete my answer again for no reason d ;lkm dfkslfjks fjdsfdnfjnv fheryqoiwr bnmxm,nxvbkfldj uyeuqiowerhtuirqgyt jbnnkfamcx vnkscjvhsdf
if the sum of four times a number and four less than three times a number is seventeen
Answer:
13divided by 7
Step-by-step explanation:
[tex]4x + 3x - 4 = 17 \\ 7x - 4 = 17 \\ 7x = 17 - 4 \\ 7x = 13 \\ \frac{7x}{7} = \frac{13}{7 } \\ x = \frac{13}{7} or1 \times \frac{6}{7} [/tex]
The required number is 3 .
It is required to find the number.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Given:
Let the number be x
According to given question we have,
4x+3x-4=17
Compare the like terms we get,
7x=17+4
7x=21
x=3
The number is 3 .
Therefore, the required number is 3 .
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