Answer:
40
Step-by-step explanation:
Angles in a circle add up to 360 degrees.
135 + 145 + x + x = 360
280 + 2x = 360
2x = 80
x = 40
Answer:
40
Step-by-step explanation:
The sum of the measures of the central angles of a circle is 360 deg.
145 + 135 + x + x = 360
280 + 2x = 360
2x = 80
x = 40
16. Find m<2.
a. 86°
b. 43°
C. 94°
d. 133
Question
Shelly has 50 shortsin her closet. Shawnie her
Sister borrowed Some of
her shorts. Now shelly has
44 Shosts. How many
Shorts did Shawnie borrow.
A. 50-n = 44
B. 50 t n = 44
c. 50 n = 44
D.44 n =50
Answer:
A.50-n=44, 6 shorts borrowed
Step-by-step explanation:
If her sister borrowed n shorts, that means Shelly now has n less shorts. Since her amount of shorts is 50, then 50-n must equal how many shorts she has now, meaning 50-n=44. Solving the equation we get n=6. This means that her sister borrowed 6 shorts.
Answer:
A
Step-by-step explanation:
50 minus the shorts Shawnie borrowed (n) equal to 44
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]
See more about triangles at brainly.com/question/25813512
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
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
Is the answer correct in this question
Answer:
Yeah, you got the answer right.
Step-by-step explanation:
make h the subject of the formula A=(1/2)ah-(1/2)bh
Answer:
h = A ÷ ½(a - b)
Step-by-step explanation:
A = ½ah - ½bh
A = ½h( a - b)
Divide both sides by the coefficients of h
A ÷ ½(a - b) = h
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.
8÷2 2/9 −2 11/15 I need help and this is a whole equation I need this ASAP
Answer: (1 and 22/45)
Step-by-step explanation:
I guess that we are working with mixed numbers here, and we have the equation:
(8÷2 2/9) − (2 11/15)
first we solve: 8÷2 = 4.
Now, we can write this as:
(4 + 2/9) - (2 + 11/15)
(4 - 2) + (2/9 - 11/15)
now, 9*5 = 45
15*3 = 45
then we can write the right side as: 2/9 - 11/5 = 10/45 - 33/45 = -23/45
2 - 23/45
But in mixed numbers we also need to work with a positive rational, then we have:
2 - 23/45 = 1 + 1 -23/45 = 1 + 45/45 - 23/45 = 1 + 22/45
then the solution is:
(1 and 22/45)
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
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
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
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
When we carry out a chi-square goodness-of-fit test for a normal distribution, the null hypothesis states that the population:________
a. Does not have a normal distribution
b. Has a normal distribution
c. Has a chi-square distribution
d. Does not have a chi-square distribution
e. Has k-3 degrees of freedom
Answer:
Option B
Step-by-step explanation:
The null hypothesis for a chi-square goodness of fit test states that the data are consistent with a specified distribution.
While the alternative hypothesis states that the data are not consistent with a specified distribution.
In this case study, the test is for a nose distribution. Thus the null hypothesis would be that the population has a normal distribution.
Need help with question
Answer:
x-6+x
2x-6=14
2x=20
x=10
Answer:
x-6+x
2x-6=14
2x=20
x=10
Step-by-step explanation:
I tried hard... I really hope this helps!
For f(x) = 4x +1 and g(x) = x2 - 5, find (f-8)(x).
Answer:
(f-g)(x) = -x² +4x +6
Step-by-step explanation:
We assume you want to find (f -g)(x).
[tex](f-g)(x)=f(x)-g(x)=(4x+1)-(x^2-5)\\\\\boxed{(f-g)(x)=-x^2+4x+6}[/tex]
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)
write 26 as repeated multiplication
Answer:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
2¹³
13 x 13
Step-by-step explanation:
We simply find numbers that can multiply to 26 and write out the multiplication to get our answer.
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]
Learn more:
https://brainly.com/question/24237739
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:
https://brainly.com/question/23843252
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:
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.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
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
If f(x) = the square root of X,
g(x) = x - 7. Then dom(fog) =
(a) [0, infinity)
(b) R
(c) (-7,infinity)
(d) [7,infinity)
(e) none
Answer:
The answer is option D.
Hope this helps you
When would you need to arrange polynomials
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.
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
The ratio of the number of counters that Amy is 5:6 Amy gives 3/5 of her counters to Audrey. Amy has 126 counters left how many more counters does Audrey now have than Amy?
Answer:
441
Step-by-step explanation:
Given
ratio of the number of counters that Amy is 5:6
let the no. of counter with Amy be 5x
and the no. of counter with Audrey be 6x
Amy gives 3/5 of her counters to Audrey.
3/5 of her counters to Audrey. = 3/5 * 5x = 3x
Thus,
amy gives 3x counters to audrey
No. of counters left with Amy = 5x-3x = 2x
given that Amy has 126 counters left
2x = 126
x = 126/2 = 63
Thus,
no. of counter with Amy now = 2x = 2*63 = 126
and now the no. of counter with Audrey = 6x+3x = 9*63 = 567
Difference of counter between Audrey and Amy = 567 - 126 = 441.
Thus, Audrey has 441 counter more than Any has.
How can Ari simplify the following expression? StartFraction 5 Over a minus 3 EndFraction minus 4 divided by 2 + StartFraction 1 Over a minus 3 EndFraction
Answer:
[tex]-\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex]
Required
Simpify
The very first step is to take LCM of the given expression
[tex]\frac{-10 -4 - 2}{6}[/tex]
Perform arithmetic operations o the numerator
[tex]-\frac{16}{6}[/tex]
Divide the numerator and denominator by 2
[tex]-\frac{16/2}{6/2}[/tex]
[tex]-\frac{8}{3}[/tex]
The expression can't be further simplified;
Hence, [tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex] = [tex]-\frac{8}{3}[/tex]