Answer:
x = 20
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
3x + 1 + x + 14 + 4x + 5 = 180, that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Which expression is not equivalent to the other three A) -9- 7 + 16n
Answer:
-16(1-n)
Step-by-step explanation:
Answer:
your answer would be -16(1-n)
Step-by-step explanation:
hello , anyone able to help with question 5? thanks :)!
Answer:
see explanation
Step-by-step explanation:
Using the product/ difference identity
sinxsiny = [tex]\frac{1}{2}[/tex] [ cos(x - y) - cos(x + y) ]
Consider the left side
2sin([tex]\frac{\pi }{4}[/tex] + α)sin([tex]\frac{\pi }{4}[/tex] - α )
= cos[[tex]\frac{\pi }{4}[/tex] + α - [tex]\frac{\pi }{4}[/tex] + α ] - cos [[tex]\frac{\pi }{4}[/tex] + α + [tex]\frac{\pi }{4}[/tex] - α ]
= cos2α - cos[tex]\frac{\pi }{2}[/tex]
= cos2α - 0
= cos2α = right side , thus proven
In the figure below, m
show work i’ll make you brainliest plz help
Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph shows the relationship between the distance traveled and time. How long does it take for her to be half way between the plane and the ground? (1 point)
Continuous graph with the y axis labeled Distance (m) and the x axis labeled Time, min. The function consists of 3 lines, the first is almost vertical with a positive slope connecting the points 0,0, to approximately 1 of 6, 250. From that point the second line connects to the first and passes through the points 1,500, 2,800 and 2 1 over 3, 1000. From that point the function is horizontal.
a
40 s
b
1 min
c
1 min 20 s
d
1 min 40 s
Answer:
B
Step-by-step explanation:
If you look at the graph/chart, it starts at 1,000, so half of that is 500, so you go down to 500, and go straight down to see the number of time under it (In this case, is 1 minute) so you know it is one minute
Given that f(x)=4x3-12x2+10 and g(x)=x3 – 2x2 + 5x
The value of f(x)- g(x)= ax'+bx?+ cx+d. What are the values of the coefficients a,b,c,d?
Answer:
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Step-by-step explanation:
Given functions are:
[tex]f(x) = 4x^3-12x^2+10\\g(x) = x^3-2x^2+5x[/tex]
We have to find the value of f(x) - g(x). This means we have to subtract function g(x) from function f(x)
So,
[tex]f(x) - g(x) = (4x^3-12x^2+10)-(x^3-2x^2+5x)\\= 4x^3-12x^2+10-x^3+2x^2-5x[/tex]
Combining alike terms
[tex]= 4x^3-x^3-12x^2+2x^2-5x+10\\= 3x^3-10x^2-5x+10[/tex]
Now it was given that:
f(x)- g(x)= ax^3+bx^2+ cx+d
By comparing both we get
a = 3, b = -12, c = -5, d = 10
Hence,
The values of a,b,c and d are as follows:
a = 3, b = -12, c = -5, d = 10
Find GJ
27
Please it’s due in one hour please please anyone
Answer:
the answer is 27 because hg is the same length as gj
It would have to be 27 because the side GH is the same as GJ.
Hope this helped!
please help anyone
Answer:
p = 30
Step-by-step explanation:
EFGH is a cyclic quadrilateral ( all vertices lie on a circle )
The opposite angles of a cyclic quadrilateral are supplementary, thus
p + 5p = 180
6p = 180 ( divide both sides by 6 )
p = 30
Divide. Write your answer as a fraction or mixed number in simplest form.
8 • 3 3/5
A little girl counts using the fingers of her left hand as follows: She starts by calling her thumb 1, the first finger 2, middle finder 3, ring finger 4, and little finger 5. Then she reverses direction, calling the ring finger 6, middle finger 7, first finger 8 and thumb 9, after which she calls her first finger 10 and so on. If she continues to count in this manner, on which finger will she stop?
a) What if the girl counts from 1 to 10?
b) What if the girl counts from 1 to 100?
c) What if the girl counts from 1 to 1000?
Answer:
(a) Index finger
(b) Ring finger
(c) Index finger
Step-by-step explanation:
Taking thumb as standard for the question.
Thumb series 1 , 9 , 17 ,25, 33......
general term for this
a(n) = 1 + (n-1)8
= 1 + 8n -8
= 8n -7
(a) For 1 to 10
8n -7 = 10
8n = 16+1 (remainder)
so the thumb is for 9 and the next is index finger.
10th = index finger.
(b) for 1 to 100
8n - 7 = 100
8n= 107
107 = 13x 8 + 3(remainder)
so the third finger from thumb is Ring finger
100th = Ring finger
(c) 8n - 7 = 1000
8n = 1007
1007= 125x8 +7 (remainder)
so the 7th finger next to thumb is Index finger
1000th = index finger
Which of the following is equivalent to logb sqrt 57/74
Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.
Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
Subtract 0.6 - 0.23.
For the linear model, y = -67.9x +679, the distance, in miles y, is a function of time, x, in hours. Use the model to calculate the total distance, in miles, at x = 2 hours.
Answer:
543.2 miles
Step-by-step explanation:
Input the given value of x into the equation and solve for y:
y = -67.9x + 679
y = -67.9(2) + 679
y = -135.8 + 679
y = 543.2
The total distance in miles after 2 hours is 543.2 miles.
The following graphs show the performance of two stocks over the first five months of the year. A graph titled Stock A B C has month on the x-axis, from 0 to 6, and price on the y-axis, from 0 to 40 in increments of 13.33. A line has points (1, 20), (2, 24), (3, 25), (4, 29), (5, 30). A graph titled Stock X Y Z has month on the x-axis, from 0 to 6, and price on the y-axis, from 20 to 32 in increments of 4. A line has points (1, 20), (2, 24), (3, 25), (4, 29), (5, 30). Which graph appears to show the best performance? Which scale makes the graph appear to be rising more slowly? a. Stock XYZ shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly. b. Stock ABC shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly. c. Stock XYZ shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly. d. Stock ABC shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly.
Answer:
C) Stock XYZ shows the best performance. The scale of Stock XYZ makes the graph appear to be rising more slowly.
Step-by-step explanation:
i did this question on my test, from reading the graph, i am almost certain this is the answer. correct me if i am wrong!
Answer:
B)
Step-by-step explanation:
B because the Stock XYZ shows the best performance. The scale of Stock ABC makes the graph appear to be rising more slowly.
Salma and John walk around a track. Salma walks each lap in 10 minutes. John walks each lap in 12 minutes. The two of them begin at the starting line at the
same time. They walk until they meet again at the starting line.
Answer:
If you're asking how long it will take for them to meet again, it will take 60 minutes.
Step-by-step explanation:
A passenger train travels 528 miles in 8 hours
Answer:
66 miles per hour
Step-by-step explanation:
528/8 = 66 miles per hour
Answer:
66 miles/hour.
Step-by-step explanation:
Its average speed is 528/8
= 66 miles/hour.
noah has d dimes and q quarters. he has no less than 17 coins altogether. write this situation as an inequality
Answer: d + q > 17
Step-by-step explanation:
Consider the equation 0.16m - 0.4 - 0.4 what is the value of m?
A. 0
B. 2.1
C. 2.9
D. 5
Answer: I think it’s 5
Step-by-step explanation:
Well if you go on calculator 16 * 5 which would represent m - 0.4 would give you the answer 0.4.
Jenna is making 9 costumes for the dance recital. Each costume uses 12 feet of fabric. How much fabric does Jenna need altogether? Use distributive property to solve.
Answer:
108
Step-by-step explanation:
If there is 9 costumes and each of the 9 costumes is 12 feet then you multiply 9 x 12 to get the answer, which is 108. (Please give me brainliest)
Simplify the expression by combining like
terms:
2m2 - m + 4m2 + 8m
Enter the number that belongs in the green box.
[?]m2 + []m
Answer:
Step-by-step explanation:
2m^2-m+4m^2+8m combine like terms
6m^2+7m
Answer:
15m
Step-by-step explanation:
2m²-m+4m+8m
2m•2m-m+4m+8m
4m-m+4m+8m
3m+12m
15m
Which Division Property is shown below?
0
------ = 0
14-8
Answer:
When a number 'x' is divided by another number 'y', the number 'x' is divided into 'y' number of equal parts.
If 'y' divides 'x' without any remainder, then 'x' is evenly divisible by 'y'.
Step-by-step explanation:
(i) When 21 is divided by 3, 21 is divided into three equal parts and the value of each part is 7.
(ii) When we divide 35 by 5, we get
7 + 7 + 7 + 7 + 7
(iii) When 35 is divided by 5, 35 is divided into 5 equal parts and the value of each part is 7. And also, there is nothing left over in 35.
So, 35 is evenly divisible by 5.
(iv) When 35 is divided by 4, we get
8 + 8 + 8 + 8 + 3
There is remainder 5, when 35 is divided by 3.
So, 35 is not evenly divisible by 4.
Property 2 :
When a number is divided by another number, the division algorithm is, the sum of product of quotient & divisor and the remainder is equal to dividend.
Write the slope intercept form of the equation of the line through the given points.
through: (0, 2) and (-4, -1)
Answer:
You use the formula (y to the second power minus y to the first power minus the same formula with the two different points
Step-by-step explanation:
What is the greatest common factor of 10 and 16? Then, use the greatest common factor to write an equivalent expression of 10 + 16.
Answer:
GCF is 2
Step-by-step explanation:
10+2+16
This question is based on Algebra 1
solve for X
3x-4y=7
Answer:
[tex]x=\frac{4y+7}{3}[/tex]
General Formulas and Concepts:
Alg I
Equality PropertiesStep-by-step explanation:
Step 1: Define
3x - 4y = 7
Step 2: Solve for x
Add 4y to both sides: 3x = 4y + 7Divide 3 on both sides: x = (4y + 7)/3What is the scale factor of this dilation?
1/2
3/5
1 2/3
2
Helpppppp plz I’ll give brainliest if it’s right.
Tyler ate x fruit snacks, and Han ate 34 less than that. Write an expression for the number of fruit snacks Han ate.
Answer:
x = -3/4
Step-by-step explanation:
Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.
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please solve this question
Answer:
the answer is b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Both of the cost for 8 hours is $30
Simplify the expression
(-a)^-18
Please help me out :)
7m+21=5m−5
Can someone help me?
Answer:
m=13
Step-by-step explanation:
7m+21=5m-5
7m-5m=2m
2m+21=-5
-5-21=-26
2m=-26
-26/2
13
13=m
Answer:
m=-13
Step by step is glitching out