Answer:
x = 6
Step-by-step explanation:
The two angles are vertical angles and vertical angles are equal
5x = 3x+12
Subtract 3x from each side
5x -3x = 3x+12-3x
2x= 12
Divide by 2
2x/2 = 12/2
x = 6
PLEASE I NEED HELP!!! FIRST ANSWER IS BRANLIEST!!!
Apply the distributive property to create an equivalent expression. 6(5x-3)
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
Apply the distributive property.
6(5x) + 6(-3)
30x + - 18
Answer:
30x - 18 is your final answer
is this right one more i think lol
Answer:
Yup P is the right one having 62.26%
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
We can set it up as
P = 33/53
Q = 20/48
R = 54/90
S = 44/83
This is because we are calculating the percent of yellow birds in the total amt. of birds in a specified park.
Now we calculate =>
P = 33/53 = around 0.62
Q = 20/48 = around 0.416
R = 54/90 = 0.6
S = 44/83 = around 0.53
We find that Park P has the greatest percentage and -->
Thus, Park P is our answer and yes, you are correct.
Which measure is of an angle that is coterminal with a 135° angle?
Answer:
495°
Step-by-step explanation:
To find a coterminal angle, simply add 360° to the given angle.
Answer:
The answer to this quesiton is C. 495
But the answers to the whole test are
1. A) Quadrant 1
2. B) –270° and 90°
3. D) 126° + (720n)°, for any integer n
4. A) –90° and 630°
5. A) (the first graph)
6. D) n = 6
7. C) x = y + 360 n, for any positive integer n
8. B) 10°
9. C) (the third graph)
10. C) 495°
Step-by-step explanation:
Just took it. Edg 2021. Hope this helps :) (smiley's name is George, George says hi)
Which function in vertex from is equivalent to f(x)=x2+x+1
Answer:
The vertex is ( -1/2, 3/4)
Step-by-step explanation:
f(x)=x^2+x+1
The vertex form is
y = a( x-h) ^2 +k where (h,k) is the vertex
Rewriting the function by completing the square
Taking the coefficient of x and dividing by 2 and squaring it
(1/2) ^2 = 1/4
Adding it and subtracting it
f(x) = x^2 + x + 1/4 -1/4 +1
= ( x^2+ x +1/4) + 3/4
= ( x+ 1/2) ^2 + 3/4
= ( x- -1/2) ^2 + 3/4
The vertex is ( -1/2, 3/4)
16. Find m<2.
a. 86°
b. 43°
C. 94°
d. 133
HELP ASAP!!!!!!!!!!!!!!!
Answer:
B) (x^2-2x)/(2x+6)
Step-by-step explanation:
When dividing fractions, it's just like multiplying the reciprocal of the second fraction : x/y divided by z/w = x/y * w/z.
We use that and we get (x-2)/(x+3) * x/2. we simplify and get x(x-2)/2(x+3). So Our answer is B
I need help with this exercise please. What I need to know is the measure of one side of the square. Sorry for the language of the exercise
Answer:
[tex]\boxed{\sf \ \ x=6 \ \ }[/tex]
Step-by-step explanation:
Hello,
BMN and NPC are two similar triangles so
[tex]\dfrac{BM}{MN}=\dfrac{NP}{PC}\\\\ \dfrac{10-x}{x}=\dfrac{x}{15-x}\\\\<=>(15-x)(10-x)=x^2\\\\<=>150-25x+x^2=x^2\\\\<=>25x=150\\\\<=>x=6[/tex]
espero que esto ayude
Estimate the decimal factors, then multiply to estimate the product. 1. 5.3 rounded to the nearest whole number is ____ . 2. 7.9 rounded to the nearest whole number is ____ . 3. (5.3)(7.9) ≈ ____ .
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation:
So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.
The real answer is 41.87 and 40 is a reasonable approximation.
40 ≈ 41.87
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation:
HELP ASAP PLEASE!!!! 1. Create a unique equation using the graphic above with the solution (answer) of 36. There are many possible equations you could create to equal 36 using the chart above. 2. Describe the process you used to create your equation in prompt 1.
Answer:
4(A)=36
Step-by-step explanation:
An equation is said to be unique if the equation has a valid solution. Several unique equations that equal 36 can be taken from the given values. Some of these equations are:
[tex]4G + M + 2B = 36[/tex]
[tex]10F- N -D = 36[/tex]
[tex]10D + G =36[/tex]
[tex]4M - E = 36[/tex]
[tex]4L = 36[/tex]
[tex]9E = 36[/tex]
To get a unique equation, we ensure that the right-hand side of the equation equals the left-hand side. There are no quick solution to this; so, we make use of trial by error method.
After several trials, some possible equations with three variables are:
[tex]4G + M + 2B = 36[/tex] because [tex]4 \times 6 + 10 + 2 \times 1 = 36[/tex]
[tex]10F- N -D = 36[/tex] because [tex]10 \times 5- 11 -3 = 36[/tex]
Some possible equations with two variables are:
[tex]10D + G =36[/tex] because [tex]10 \times 3 + 6 =36[/tex]
[tex]4M - E = 36[/tex] because [tex]4 \times 10 - 4 = 36[/tex]
Some possible equations with two variables are:
[tex]4L = 36[/tex] because [tex]4 \times 9 = 36[/tex]
[tex]9E = 36[/tex] because [tex]9 \times 4 = 36[/tex]
The following are some unique equations from the given values:
[tex]4G + M + 2B = 36[/tex]
[tex]10F- N -D = 36[/tex]
[tex]10D + G =36[/tex]
[tex]4M - E = 36[/tex]
[tex]4L = 36[/tex]
[tex]9E = 36[/tex]
Read more about unique equations at:
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A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has
is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number
of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists
g+a= 24
g+ 2a=42
g+a= 24
2g+a=42
g+a=42
G+ 2a= 24
g+ a=42
2g+ a= 24 please help me fast
Answer:
2g + a = 42 and a + g = 24
(thats the answer I got)
hope that helps
Answer:
sorry im suppppper late but it is B
Step-by-step explanation:
Determining Key Aspects of a Quadratic Function
Use the drop-down menus to describe the key aspects of the function f(x) = -X2 - 2x - 1.
The vertex is the
The function is increasing
The function is decreasing
The domain of the function is hs
The range of the function is
Answer:
Step-by-step explanation:
The vertex can be located most easily by completing the square of
f(x) = -X^2 - 2x - 1 (which is equivalent to -(x^2 + 2x + 1). The latter expression can be rewritten as -(x + 1)^2, which indicates that the x-coordinate of the vertex is -1. The corresponding y-value is 0. Vertex is at (-1, 0).
The function is increasing for x < -1 and decreasing for x > -1.
The domain of the function is "all real numbers."
The range is (-infinity, 0)
translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?
Answer:
1.5d+150
Step-by-step explanation:
125 since it increased by 25%. look at the problem below:
125( 1 + 0.01d) then you plug those numbers in and theres your answer :00!!
sammy-6th grade-
The algebraic expression is 1.5d+150.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that 120 is increased by d % and increased by 25% then the expression will be written as below.
E = 1.5d+150.
Hence the algebraic expression is 1.5d+150.
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simplify 6 to the 9th power divided by 6 to the 3
Answer:
A
Step-by-step explanation:
When you divide a term with an exponent by the same term with a different exponent, simply subtract the exponents.
Applying the quotient rule of exponents, 6 to the 9th power divided by 6 to the 3rd power is calculated as: A. [tex]6^6[/tex].
How to apply the quotient rule of exponents?To simplify the expression [tex]6^9[/tex] / 6³, we can use the quotient rule of exponents. Here's the step-by-step calculation:
Write both terms with the same base, 6:
[tex]6^9[/tex] / 6³
Apply the quotient rule of exponents, subtracting the exponent in the denominator from the exponent in the numerator:
[tex]6^{(9-3)}[/tex]
Simplify the exponent:
[tex]6^6[/tex]
Therefore, 6 to the 9th power divided by 6 to the 3rd power simplifies to: A. [tex]6^6[/tex].
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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = 10 x , a = −2
Answer:
[tex]\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n[/tex]
Step-by-step explanation:
Rn(x) →0
f(x) = 10/x
a = -2
Taylor series for the function f at the number a is:
[tex]f(x) = \sum^\infty_{n=0} \frac{f^{(n)}(a)}{n!} (x - a)^n[/tex]
[tex]f(x) = f(a) + \frac{f'(a)}{1!}(x-a)+\frac{f"(a)}{2!} (x-a)^2 + ...[/tex] ............ equation (1)
Now we will find the function f and all derivatives of the function f at a = -2
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = -10.2/x³ f"(-2) = -10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
f""(x) = -10.2.3.4/x⁵ f""(-2) = -10.2.3.4/(-2)⁵
∴ The Taylor series for the function f at a = -4 means that we substitute the value of each function into equation (1)
So, we get [tex]\sum^\infty_{n=0} - \frac{10(x+2)^n}{2^{n+1}}[/tex] Or [tex]\sum^\infty_{n=0} -5 (\frac{x+2}{2})^n[/tex]
Taylor series is a power series that gives the expansion of a function f (x) in the neighborhood of a point.
Taylor series is, [tex]f(x)=f(a)+\frac{f'(a)}{1!}(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+........[/tex]
[tex]f(x)=\sum_{n=0}^{\infty }-\frac{10(x+2)^{n}}{2^{n+1}}[/tex]
Here, f(x) = 1/x and a = -2
Now find derivative,
f(x) = 10/x f(-2) = 10/-2
f'(x) = -10/x² f'(-2) = -10/(-2)²
f"(x) = 10.2/x³ f"(-2) = 10.2/(-2)³
f"'(x) = -10.2.3/x⁴ f'"(-2) = -10.2.3/(-2)⁴
Substituting above values in Taylor series expansion.
We get, [tex]f(x)=\sum_{n=0}^{\infty }-\frac{10(x+2)^{n}}{2^{n+1}}[/tex]
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Use the multiplier method to increase £88 by 14% You must show your working
solve using dristibutuve law (35×4+35×6)
Answer:
Step-by-step explanation:
Distributive property = a*(b + c) = a*b +a*c
35 * 4 + 35 * 6 = 35 *( 4+6)
= 35 * 10
= 350
Answer:
a(b + c) = ab +ac
take common out
35(4+6)
an then 35 into 10
=350
Step-by-step explanation:
Two ships leave a port at the same time.
Ship A sails 12 knots on a bearing of 035°
Ship B sails 16 knots on a bearing of 270°
Calculate the distance between the ships after 2 hours
(1 knot = 1 nautical mile per hour)
Answer:
49.8 nautical miles
Step-by-step explanation:
Recall that speed = distance/time
Time = 2hours
Speed = 12knots and 16 knots respectively
D = speed×time
D1 = 12×2 = 24
D2 = 16×2 = 32
Using the 'cosine rule' we have:
a^2 = b^2+c^2-2bc cos Θ
Where a =?
b =24
c = 32
Θ = 125°
a² = 24² + 32² - 2(24)(32)cos125°
a^2 = 576+1024 - 1536cos125°
a² = 1600 - 1536(-0.57357)
a² = 1600+881.0134
a² = 2481.0134
Then, a² = 2481.013406
a =√2481.013406
Hence, a = 49.8 nautical miles
In this exercise we must use the knowledge about triangles to calculate the distance that a ship will travel, in this way we find that:
49.8 nautical miles
First, remember the formula for distance, which is:
[tex]Speed = distance/time[/tex]
And knowing that the data reported in the exercise are:
Time = 2hours Speed = 12 knots and 16 knots respectively
So putting the values informed in the distance formula, we have:
[tex]D = speed*time\\D_1 = 12*2 = 24\\D_2 = 16*2 = 32[/tex]
Using the 'cosine rule' we have:
[tex]a^2 = b^2+c^2-2bc cos \theta[/tex]
Find the a, will have:
[tex]b =24 \ \ \ c = 32 \ \ \ \theta = 125\\a^2 = 24^2 + 32^2 - 2(24)(32)cos125\\a^2 = 576+1024 - 1536cos125\\a^2 = 1600 - 1536(-0.57357)\\a^2 = 1600+881.0134\\a^2 = 2481.0134\\a=49.8[/tex]
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what is the slope of the line given by the equation?
Answer:
the slope is 8
Step-by-step explanation:
The coefficient of x, "m" is the slope in the slope-intercept form:
y = mx + b
6th grade math :) help me please !
Answer:
a1- 2 terms
a2- 6x, 9y
a3- 6,9
b1-2 terms
b2- 7x, 12x
b3- 7,12
c1- 3 terms
c2- 5x^2, 2y, 3
c3- 5,2,3
Step-by-step explanation:
Not sure how I would solve this
Answer:
0
Step-by-step explanation:
Using the slope formula
m = (y2-y1)/(x2-x1)
and the given points
m = ( 2-2)/ ( 3-4)
= 0/ -1
= 0
The slope is zero
Victoria is the food basket for Australia. In 2017, Victoria witnessed a severe drought that is reported to be the worst in many years. Assume all factors constant meaning that there is no external influence in the market except the drought. (a) Use the demand and supply model figure below to explain the impact of the drought on food supply to Northern Territory, a state that relies on food supplies from Victoria. Drought Demand and supply model
Answer:
its B on edg2020
Step-by-step explanation:
B: Crops in the drought-affected areas were destroyed, which led to a decreased food supply and higher food prices.
When would you need to arrange polynomials
what is the Lcd of fra tions 1_3 and 11 _15
it's 15, since it is divisible by both 15 (15 x 1) and 3 (3 x 5)
Answer:
15
Step-by-step explanation:
Well to find the least common denominator of [tex]\frac{1}{3}[/tex] and [tex]\frac{11}{15}[/tex].
We have to see if 11/15 can be reduced, and by looking at the fraction it can’t be reduced.
So we just have to make 1/3 fraction have the same demimitator as 11/15.
So we just multiply it by 3 to get 15 go the LCD is 15.
As a young professional in the future, it is good to start saving money to have a
security for the future and have something to use when emergency cases happen
related to the need of cash. The Philippine Average Family income last 2015 was
around P276,000 per year. Lets say every year you earn the same amount and save
P76,000 yearly in your frusted bank giving 4% compounded interest annually. How much
will the account worth in the future after 40 years?
a. Solve for the future value of the account:
FV=PMT
( \frac{(1 + i) ^{n} - 1 }{i} )(i(1+i)n−1)
Answer:
Step-by-step explanation:
We would apply the future value which is expressed as
FV = C × [{(1 + r)^n - 1}/r]
Where
C represents the yearly payments of the young professional.
FV represents the amount of money
in your account at the end of 40 years.
r represents the annual rate.
n represents number of years or period.
From the information given,
r = 4% = 4/100 = 0.04
C = $76000
n = 40 years
Therefore,
FV = 76000 × [{(1 + 0.04)^40 - 1}/0.04]
FV = 76000 × [{4.8 - 1}/0.04]
FV = 76000 × 95
FV = P7220000
Choose the set of numbers with an average of 45.
A) 30, 40, 50, 60
B) 20, 40, 60
C) 20, 30, 40, 50, 80, 80
Answer: a
Step-by-step explanation:
i don't know
What is the value of x? Enter your answer in the box. x =
Answer:
x = 46
Step-by-step explanation:
Use the triangle angle bisector theorem.
58/63.8 = (x + 4)/55
63.8(x + 4) = 55 * 58
63.8x + 255.2 = 3190
63.8x = 2934.8
x = 46
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis? A. point U B. point V C. point W D. point X
Hey there! :)
Answer:
Point V.
Step-by-step explanation:
Given the coordinates of T at (-6.5, 1), U represents T before any reflections. (Helps to visualize this better)
Reflecting across the x-axis results in the sign of the y-coordinate changed. Point T after this reflection becomes (-6.5, -1).
Finally, reflecting across the y-axis will change the sign for the x-coordinate.
(-6.5, -1) becomes (6.5, 1). This is represented by point V.
Help!!! The measure of the central angle is ____________ the measure of the circumference angle.
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------
Answer: Twice.
The measure of the central angle is two times the measure of the circumference angle.
Answer:
TwiceThe central angle theorem states that the central angle from two chosen poinfs A and B on the circle is always twice the inscribed angle from two points.
Please see the attached picture
Draw a line from the point O to point P
OP = OA = OB = radius
<APO = a , <BPO = b
<PAO = a , < PBO = b
( isosceles triangle)
<POA = 180 - 2a
<POB = 180 - 2b
All Angles at centre O must add up to 360°
< AOB = 360 - ( 180 - 2a ) - ( 180 - 2b )
<AOB = 2a + 2b
<AOB = 2 ( a + b )
Hope this helps...
Find the hypotenuse of a right triangle (in cm) if one leg measures 7 cm and the other leg measures 11 cm. Round to the nearest thousandth. ____________ cm
Using the Pythagorean theorem
Hypotenuse = sqrt( 11^2 + 7^2)
= sqrt( 121 + 39)
= sqrt( 160)
= 12.694
what is -34/15 in decimal form
Answer:
2.26 repeating
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
hope this helpes
be sure to give brainliest