Answer:
Option D is correct
Step-by-step explanation:
In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.
Hope it is helpful....HELPPPPP ASAP!!!! Thx!! and NOOO FILESSSS!!
Answer:
[tex]x=32[/tex]°
Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
[tex]\frac{sin(a)}{A}=\frac{sin(b)}{B}=\frac{sin(c)}{C}[/tex]
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}=\frac{sin(x)}{10}[/tex]
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
Now take the cross product in this equation to simplify it further,
[tex]\frac{sin(x)}{10}=\frac{sin(116)}{17}[/tex]
[tex]17(sin(x))=10(sin(116))[/tex]
Inverse operations, solve this equation for (x),
[tex]17(sin(x))=10(sin(116))[/tex]
[tex]sin(x)=\frac{10(sin(116))}{17}[/tex]
[tex]x=sin^-^1(\frac{10(sin(116))}{17})[/tex]
[tex]x=31.91782...[/tex]
[tex]x\approx32[/tex]
Answer:
hello,
Step-by-step explanation:
the triangle is isocele,
x+x+116=180
x=(180-116)/2
x= 32° (thirty-two , trente-deux in french)
If a = 4 -√15, find a^4 + 1/a^4
Please answer this question with correct steps. I will mark brainliest
Answer:
Hello,
3842
Step-by-step explanation:
[tex]a=4-\sqrt{15} \\\\\dfrac{1}{a} =\dfrac{1}{4-\sqrt{15}} \\\\=\dfrac{4+\sqrt{15}}{(4-\sqrt{15})*(4+\sqrt{15})}\\\\=\dfrac{4+\sqrt{15}}{16-15} \\\\=4+\sqrt{15}\\\\[/tex]
[tex]a+\dfrac{1}{a} =4-\sqrt{15}+4+\sqrt{15}=8\\\\[/tex]
[tex](a+\dfrac{1}{a} )^2=a^2+\dfrac{1}{a^2} +2\\\\a^2+\dfrac{1}{a^2} =8^2-2=62\\[/tex]
[tex](a+\dfrac{1}{a} )^3=a^3+\dfrac{1}{a^3} +3*\dfrac{a^2}{a} +3*\dfrac{a}{a^2} \\\\8^3=a^3+\dfrac{1}{a^3} +3(a+\dfrac{1}{a} )\\\\a^3+\dfrac{1}{a^3} =8^3-3*8=488\\[/tex]
[tex](a+\dfrac{1}{a} )^4=a^4+\dfrac{1}{a^4} +4*\dfrac{a^3}{a} +6*\dfrac{a^2}{a^2} +4*\dfrac{a}{a^3}\\\\a^4+\dfrac{1}{a^4}=(a+\dfrac{1}{a} )^4-4*a^2-4*\dfrac{1}{a^2} -6\\a^4+\dfrac{1}{a^4} =8^4-4*62-6\\\\=4096-248-6\\\\=3842\\\boxed{a^4+\dfrac{1}{a^4} =3842}\\[/tex]
Using a calculator:
[tex]a=4-\sqrt{15}=0,1270166537925831148207346002176....\\\\a^4= 2,6028112122495108436170792979303e-4\\\\\dfrac{1}{a} =4+\sqrt{15} =7,8729833462074168851792653997824...\\\\\dfrac{1}{a^4}=3841,9997397188787750489156382921....\\\\a^4+\dfrac{1}{a^4} \\\\= 2,6028112122495108436170792979303e-4+3841,9997397188787750489156382921....\\\\=3842\\[/tex]
Hey guys ♡
hw r u all doin
pls solve this question for me ⤵️
(m-1)/2 - (m-2)/3 = ( m - 4 )/7
Answer:
m = - 31
Step-by-step explanation:
Given
[tex]\frac{m-1}{2}[/tex] - [tex]\frac{m-2}{3}[/tex] = [tex]\frac{m-4}{7}[/tex]
Multiply through by 42 , the LCM of 2, 3 and 7 , to clear the fractions
21(m - 1) - 14(m - 2) = 6(m - 4) ← distribute parenthesis
21m - 21 - 14m + 28 = 6m - 24
7m + 7 = 6m - 24 ( subtract 6m from both sides )
m + 7 = - 24 ( subtract 7 from both sides )
m = - 31
What is the height h of the garage roof?
All of the following statements are true, except for which?
A. LIZM
B. FG = JK
C. ZJE ZF
D. LMHG
except for letter a. LIZM
can i get some help please
Answer:
66 degrees
Step-by-step explanation:
The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.
This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.
We have this equation:
[tex]x+57=123[/tex], where x is the value of angle 1.
Subtracting 57 from both sides, we have
[tex]x = 66[/tex]
4[30-(10-2)x3] what is the answer?
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4[30-(10-2)\times3]}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{4[30 - (\bold{8}}) \times3]}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4[30 - \bf 24]}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{4(30) + 4(-24)}}[/tex]
[tex]\huge\boxed{\rightarrow \mathsf{\bf 120 - 96}}}[/tex]
[tex]\huge\boxed{\rightarrow\mathsf{\bf 24}}[/tex]
[tex]\huge\boxed{\rm{Answer: \mathsf{24}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
24Step-by-step explanation:
4[30 - (10 - 2)*3] = 4[30 - 8*3] =4[30 - 24] = 4*6 = 24Is 2.73234(34 repeating) rational or irrational?
It's rational because of the repeating digits.
We have
x = 2.732343434…
Then
1,000x = 2,732.343434…
and
100,000x = 273,234.343434…
Subtracting these makes the fractional part go away, leaving you with
100,000x - 1,000x = 273,234.343434… - 2,732.343434…
100,000x - 1,000x = 273,234 - 2,732
99,000x = 270,502
x = 270,502/99,000 = 135,251/49,500
which is clearly a rational number.
Pls pls pls help me
Answer:
48
Step-by-step explanation:
AC = 10
DC² = 10² - 6² = 64
DC = 8
[tex]A_{ABCD}[/tex] = 6 × 8 = 48
Geometry homework I need help pls pls pls
Answer:
vertex of 4 is 2
Step-by-step explanation:
cuh cuh uchuch uch uch uch
Emma earns a $39,000 salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career?
Answer:
554,000
Step-by-step explanation:
that is the answer
Emma earns $554,064.80 in total in the first 11 years of her career
We are to determine the future value of $39,000 each year for 11 years given the growth rate of 5%
The formula for calculating future value:
FV = P (1 + r)^n
Where :
FV = Future value
P = Present value
R = interest rate
N = number of years
First year = $39,000
Second year = 39,000 x (1.05) = $40,950
Third year = 39,000 x (1.05)^2 = $42,997.50
Fourth year = 39,000 x (1.05)^3 = $45,147.38
Fifth year = 39,000 x (1.05)^4 = $47,404.75
Sixth year = 39,000 x (1.05)^5 = $49,774.99
seventh year = 39,000 x (1.05)^6 = $52,263.74
eighth year = 39,000 x (1.05)^7 = $54,876.93
ninth year = 39,000 x (1.05)^8 = $57,620.78
tenth year = 39,000 x (1.05)^9 = $60,501.82
eleventh year = 39,000 x (1.05)^10 = $63,526.91
Sum of the earnings for the first eleven years = $554,064.80
To learn more about the future value of income, please check : https://brainly.com/question/19407218?referrer=searchResults
Who can do 20 assignments in math for me rn needs to b finish in 5 hours?
u need to finish 4 assignments in 1 hour
CAN SOMEONE HELP PLEASE
Answer:
72
The result is rational because it can be written as the ratio of two integers and its decimal expansion can terminate or repeat.
Answered by GAUTHMATH
-1 1/4 × -4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:/11-5/9×14/11
Step-by-step explanation:
-4/5+1/4÷3
What is the area of polygon ABCDEFGHI in the coordinate plane from the figure below?
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
See photo/ will give 10 points.
Answer:
B) Multiply by 3/2 on both sides of the equation by the multiplication property of equality
What is the quadratic regression equation that fits these data?
Number of seconds Helght (In feet)
0
12
1
14
2
15
3
14
4
10
5
6
O A. y=-1.94x2 + 0.62x+ 9.62
B. y = -3.69x2 + 2.08x+8.07
O C. y = 15.68(0.88)
O D. y=-0.89x2 + 3.24x+11.93
SUBMIT
Answer:
Step-by-step explanation:
The answer is D. Use the Stat and then Edit button on your TI calculator to edit the values in L1 and L2 tables. In L1 enter 0, 1, 2, 3, 4, 5 and then arrow over and enter the y values into L2 the same way. Enter the number 12, then hit enter; enter the number 14, hit enter; enter the number 15 and then hit enter, etc. Do the same for the values that are going into L1.
When that is done, hit the Stat button again and arrow down to QuadReg and hit enter. Depending upon your calculator, you may have to arrow down to "calculate" or the calculator may display the equation immediately after hitting QuadReg. Again, it all depends upon your calculator.
The required correct quadratic regression equation that fits the given data is y = -0.89x² + 3.24x+11.93. Option D is correct.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
To find the quadratic regression equation, we need to use a calculator or software that can perform a quadratic regression analysis. Using such a tool, we obtain the following equation:
y = -0.89x² + 3.24x+11.93
This equation fits the data points (0, 12), (1, 14), (2, 15), (3, 14), (4, 10), and (5, 6) with a high degree of accuracy.
The equation is in the form of a quadratic function, which has a parabolic shape when graphed. The coefficient of the x² term (-0.89) indicates that the parabola is downward-facing, while the other coefficients determine the exact shape and position of the parabola.
Option A is incorrect because its equation does not fit the data points accurately. Option B is also incorrect because it is not a quadratic equation, and option C is incorrect because its equation also does not fit the data points accurately.
Learn more about equations here:
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When x + y = 30 and x < 13, which of the following must be true?
y = 30
y > 17
y = 17
y < 17
y > 30
Answer:
y>17
Step-by-step explanation:
[tex]x + y = 30 \\ 13 + y = 30 \\ y = 17 \\ for \: x < 13 \\ y > 17[/tex]
Answer:
y>17
Step-by-step explanation:
x+y=30
x<13
What + 13 is 30?
17. So if x+y=30. Because x will be less than 13, y must make up the differnce by being greater than 17.
Ex: x=12
y+12=30
y=18
18 is greater than 17.
This is a great way to check because if your not sure, it elimates the other options!
Hope this helps!
When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?
Answer:
The Polynominal is not shown. So how can i answer???
Step-by-step explanation:
Thank You! Hope it helps! Please Mark me brainliest!
Use the function below to find F(-4).
F(x) = 2^x
Answer:
Step-by-step explanation:
F(x)=2^x
[tex]F(-2)=2^{-2} =\frac{1}{2^2} =\frac{1}{4}[/tex]
find the interquartile range for a data set having the five-number summary: 3.1,9.8,16.1,22.9,28.1
Answer:
Step-by-step explanation:
Steps:
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer: 13.1
Step-by-step explanation:
A phone company charges each customer a monthly fee of $11.25. In addition, it charges $0.03 per minute for in-state calls and $0.11 per minute for out-of-state calls. What is the total monthly charge for a customer who made 340 minutes of in-state calls and 84 minutes of out-of-state calls?
340 x 0.03 = 10.2 (in state)
84 x 0.11 = 9.24 (out of state)
10.2 + 9.24 + 11.25
= $30.69 monthly charge
hope it helps :)
The total monthly charge for a customer is given as $30.69.
What is simplification?Simplifying allows us to test each process and strategy to determine which is the most efficient and best suited for its specific goal.
here,
A phone provider costs each customer $11.25 per month. Furthermore, it charges $0.03 per minute for in-state calls and $0.11 for out-of-state calls.
Charge within the boundary of state for 340 minutes = 340 x 0.03 = 10.2
Charge beyond the boundary of state for 84 minutes = 84 x 0.11 = 9.24
Total monthly charge = 10.2 + 9.24 + 11.25
= $30.69 monthly charge
Thus, A customer's total monthly price is shown as $30.69.
Learn more about simplification here:
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Which number has the greatest value?
A) 12.2
B) 12.25
C) 12.5
D) 12.52
Answer:
The answer is letter D, 12.52
In the diagram, what is the measure of angle 1 to the nearest degree?
33 degrees
55 degrees
75 degrees
105 degrees
Answer:
75 degrees
Step-by-step explanation:
From the first part of the diagram,
vertically opposite angles are equal,
hence we have
125° + (4x-5)° + 125° + (4x-5)° = 360°
(Angles about a point equals 360°)
4x – 5 + 4x – 5 + 125 + 125 = 360
8x + 250 – 10 = 360
8x = 360–250 + 10
8x = 120
x = 15°
Now we have (5x)° in the second part.
5x = 5 × 15 = 75°
1 is vertically opposite to angle 75°
hence it is equal to 75 degrees.
Answer:75
Step-by-step explanation:
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)
Answer:
(−∞,−1) interval is is the function decreasing..Step-by-step explanation:
Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7To find : On which interval is the function decreasing?Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.As we notice it is increasing on the interval (-1,\infty)(−1,∞)Decreasing on (-\infty,-1)(−∞,−1)Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
The parent function is given as:
[tex]f(x) =|x|[/tex]
The transformed function is given as:
[tex]g(x) =|x + 1| - 7[/tex]
Both functions are absolute value functions, and an absolute value function is represented as:
[tex]y=a| x-h |+k[/tex]
Where, the vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:
[tex](h,k) = (-1,-7)[/tex]
[tex]a= 1[/tex]
Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.
This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.
Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
Read more about transformation at:
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Find the missing side
Answer:
x = 14
[tex]h^2 = p^2 + b^2\\h^2 = 7^2 + 12^2\\x^2 = 49 + 144\\x^2 = 193\\so, x = 13.89\\so, x = 14[/tex]
Can someone explain
Answer:
You need to use sohcahtoa to find your answer.
first you gotta identify what sides of the triangle you have.
You're missing the hypotenuse, and you have the value of the adjacent.
since you have the adjacent and need the hypotenuse, you're going to use cosine to find x
cos(65) = 16/x
x = 37.859
Answer:
x = 37.85
this is a standard "trig" question
it requires two pieces of insight.
First that a triangle has 180° interior angles.
from that you can determine that the third angle is 25° because
90 + 65 + β = 180
the red symbol lets you know that it is 90°
the second think that will help is SOHCAHTOA
that is if you have a "right triangle" (one with a 90° angle)
in this problem (in your mind rotate the triangle so the 65° is at the bottom left and the two long sides are pointing up
in this case you have the 16 on the bottom (adjacent to the angle) and
the x is on the hypotenuse...
you have the A& H that is COS
thus you have cos(65) = [tex]\frac{16}{x}[/tex]
x = 37.85
Step-by-step explanation:
If is added to a number and the sum is 8 multiplied by 2, the answer is What is the number? 3
Answer:
Let the number be x
Given that
⇒(x+
3
2
)×2=
3
16
⇒x+
3
2
=
3
8
⇒x=
3
8
−
3
2
⇒x=
3
6
⇒x=2
Thus the number is 2
(a) Write
[tex] {2}^{5} \div {2}^{5} [/tex]
as a single power if 2.
Answer:
2^0
Step-by-step explanation:
When you are dividing 2 exponents with the same base (in this case, 2) you subtract them. 2^5 ➗ 2^5 => 2^(5-5) = 2^0 => which is equal to 1, but the answer here would be 2^0.
There are two ways to go about this problem.
The first way, the generic way, is to know that,
[tex]\frac{a^n}{a^m}=a^{n-m},a\neq0[/tex].
So,
[tex]\frac{2^5}{2^5}=2^{5-5}=\boxed{2^0}[/tex].
The second way is to realise that both numerator and denominator are equal and when diving two equal numbers you obtain 1. (except when diving zeros) aka,
[tex]\frac{a}{a}=1, a\neq0[/tex]
And 1 equals to any number raised to the power of zero,
[tex]a^0=1,a\neq0[/tex]
So we just have to say that the 1 we got is rewritten as some base to the power of zero.
Since our base needs to be 2, we just simply say,
[tex]2^0[/tex].
Et Viola.
Hope this helps.
