Answer:
-sin x
Step-by-step explanation:
sin(3π/3+x)=sin (π+x)=-sin x
or
sin (π+x)=sin πcos x+cos π sin x=(0)cos x+(-1)sin x=0-sin x=-sin x
Preeta watches an ant and beetle crawl in a hole in the ground. the beetle is 3/4 inch below ground level. the beetle climbs 1/3 the distance the ant is below the ground level. the beetle is now 2 1/2 inches below ground level. Let X be the position of the ant relative to ground level. what equation can be written to solve for X? solve the equation.
Answer:
1a: [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b: See below
1c: [tex]2\frac{3}{4}[/tex] inches between the beetle and ant
Step-by-step explanation:
1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.
So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
1b. Solve the equation written above from 1a.
[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]
-3/4 -3/4 [subtract 3/4 to start the process of getting x by itself]
[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]
*3/1 *3/1 [Multiply Reciprocal to get X by itself]
x= [tex]5\frac{1}{4}[/tex]
1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them
5 1/4 - 2 1/2 = [tex]2\frac{3}{4}[/tex]
What is the Nth term rule of the Quadratic sequence -5 -4 -1 4 11 20 31
Step-by-step explanation:
an = A×n² + B×n + C
a1 = -5 = A×1² + B×1 + C = A + B + C
a2 = -4 = A×2² + B×2 + C = 4A + 2B + C
a3 = -1 = A×3² + B×3 + C = 9A + 3B + C
a2 - a1 = -4 - -5 = 1 = 4A+2B+C-A-B-C = 3A + B
3A = 1 - B
A = (1 - B)/3
a3 - a2 = -1 - -4 = 3 = 9A+3B+C-4A-2B-C = 5A + B
3 = 5A + B = 5(1 - B)/3 + B
9 = 5(1 - B) + 3B = 5 - 5B + 3B = 5 - 2B
4 = -2B
B = -4/2 = -2
A = (1 - -2)/3 = (1 + 2)/3 = 3 / 3 = 1
-5 = A+B+C = 1 - 2 + C = -1 + C
-4 = C
so,
an = n² - 2n - 4
In which quadrant does the point (13 , -6) lie?
A.
Quadrant III
B.
Quadrant I
C.
Quadrant IV
D.
Quadrant II
Answer:
C
Step-by-step explanation:
i hope you'll find these useful......
Answer:
C, quadrant IV
Step-by-step explanation:
The X (13) is positive meaning the point is on the right side of the graph, and Y (-6) is negative so it's below the x axis
help me w differentiation
Answer:
4 better inbox
Step-by-step explanation:
plz help with this!!!
Answer:50
Step-by-step explanation:
Please answer and explain
Answer:
Step-by-step explanation:
(fog)(x) = f[g(x)]
(fog)(x) = f[(4/x - 5)]
(fog)(x) = 1 / ((4/x - 5) - 9)
(fog)(x) = 1 / (4/x - 14)
(gof)(x) = g[f(x)]
(gof)(x) = g[1/(x - 9)]
(gof)(x) = (4/ 1/(x - 9)) - 5
(gof)(x) = (4•(x - 9)/1) - 5
(gof)(x) = (4x - 36) - 5
(gof)(x) = 4x - 41
A boat is moored at a dock, as shown in the figure.
What is the length of rope A?
Note: The triangle formed is a right triangle.
8.3 ft
10.5 ft
12.3 ft
8.6 ft
Answer:
12.3
Step-by-step explanation:
i took the quiz
HELP WITH GEOMETRY HOMEWORK ASAP!!!
Answer:
26°
Step-by-step explanation:
90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)
154°+x°=180°
x°=180-154°
x°=26°
Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?
The drama class sold blank adult tickets.
Answer:
60 adult tickets were bought.
Step-by-step explanation:
9514 1404 393
Answer:
80 tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...
8a +4(a -30) = 840
12a -120 = 840 . . . . . . eliminate parentheses
a -10 = 70 . . . . . . . . . divide by 12
a = 80 . . . . . . . . . . . add 10
The drama class sold 80 adult tickets.
__
Check
The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...
50($4) +80($8) = $200 +640 = $840 . . . . as required
Emilia waited 11 minutes for the bus today. That is 4 minutes less than she waited yesterday. How long did Emilia wait for the bus yesterday?
11 minutes + 4 minutes more yesterday = 15 total minutes
Answer: 15 minutes
Answer:
Emilia waited 11 minutes wich was 4 minutes earlier so 11+4 because it was 4 miutes earlier so 11 minutes + 4 minutes = 15 minutes so this means Emilia wait 15 minutes for the bus yesterday
Step-by-step explanation:
Two sides of a triangle measure 10 feet and 14 feet. Which
inequality shows the possible lengths for the third side, x?
Answers options:
10 ≤ x ≤ 14
4 ≤ x ≤ 24
10 < x < 14
4 < x < 24
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The third side of the Triangle should be greater than the difference of other two sides, so
[tex]x > 14 - 10[/tex][tex]x > 4[/tex]And, The third side should be less than the sum of other two sides that is ~
[tex]x < 14 + 10[/tex][tex]x < 24[/tex]Considering these two inequalities, we get ~
[tex]4 < x < 24[/tex]What is the simplified form of the fraction below?
30
*
O A.
OB.
C.
olo
D.
لا اعر
Answer:
A. 30÷6 = 5
24÷6=4
=4/5.
Step-by-step explanation:
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Which element should be used to help clarify a complicated idea in a text? (1 point) O a new topic O a bibliography O a visual O a research question w
The element which should be used to help clarify a complicated idea in a text is ; A research question.
According to the question;
We are required to determine which element should be used to help clarify a complicated idea in a text.A research question is the best fit which should be used to help clarify a complicated idea in a text.
This is so because; a research question provides a basis for accessing all perspectives there is to the complicated idea.
Read more:
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Answer:
D
Step-by-step explanation:
how is this math? 0-0
Pre college need help
Answer:
sorry I can't answer that because I need points very3× sorry
how to find the circumference with a radius
Answer:
The perimeter or circumference of the circle can be found using the equation C=2π(r), where r= the radius of the circle. Since we have two semi-circles we can find the circumference of one whole circle with a radius of 4, which would be 8π.
Answer:
the circumference is pi*diameter. diameter is radius*2, and so (radius*2)*pi is the circumference
A pair of sunglasses is on sale 30% off. if the original cost of the sunglasses are $18, what is the sale price now?
Answer:
12.60
Step-by-step explanation:
I don't feel like explaining it, since I'm not good at giving detail sorry <3
The expression on the left side of an equation is shown below. -6x+6=0 If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? 06 0 1 O 6x 6x6l
Answer:
I think 0
Step-by-step explanation:
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
if a triangle perimeter=150cm, side A=86cm, side B=50cm, then side C=__.
Answer:
150-86-50=14cm
Step-by-step explanation:
Answer:
C=14cm
150-86-50= 14
Step-by-step explanation:
PLEASE HELP!!!
Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).
x −6 −4 −1 3 4
f (x) 20 14 5 −7 −10
g(x) −36 −26 −11 9 14
no links please
Answer:
Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...
Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.
Answer:
bro its -4
Step-by-step explanation:
bc f(x) has y-intercept of 2 and g(x) has y-intercept of -6 so 9 (f-g)(x) would be 2-6 = -4
so the answer is actually (0, -4)..
A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?
A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.
On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.
The height h, is given as:
h = 16[tex]t^{2}[/tex] + 32t + 240
Differentiating the expression with respect to t, we have;
32t + 32 = 0
t = -1 seconds
Substitute the value of time, t, in the equation for the height;
h = 16 - 32 + 240
= 224
h = 224 m
Total height, S = 240 + 224
= 464
S = 464 m
The total height covered by the stone is 464 m.
From the second equation of free fall,
S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]
464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]
[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]
= 94.694
t = [tex]\sqrt{94.694}[/tex]
= 9.7311
t ≅ 10 seconds
The time taken for the stone to hit the ground is 10 seconds.
Thus option A is the required answer.
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Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years?
A.$88,000
B.$176,000
C.$312,000
D.$975,000
The amount Lucas would have in his account is $885,000.
The formula that would be used to determine the amount of money Lucas would be in 40 years is:
The formula for calculating future value = A x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years$2000 x [(1.1^40 - 1) / 0.1] = $885,000
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HELOOOOOOO HELPPPPPPPPP
Answer:
e would be 130 because its vertical angles and it has to add up to 180 so f would be 50 im not sure about d yet
Answer:
e = 130º it's a vertical angle
f = 50º it's supplementary to 130º
d = 90º it's a right angle
In a recent year, 32.4% of all registered doctors were female. If there were 47,400 female registered doctor that year, what was the total number of registered doctors?
Answer:
come, seamen or even spherm
Step-by-step explanation:
basically when the male and female get involved in sexual activity it creates a child through sperm and egg interaction. the fastest sperm wins the race and 68.6% of them are male doctors
Question 1
2 pts
A game uses a single 6-sided die. To play the game, the die is rolled one time, with the
following results:
• Even number = lose $7
1 or 3 = win $2
5 = win $8
.
.
Answer:
sorry 400
Step-by-step explanation:
What is the equation of the line that passes through the point (2, -6) and
has a slope of – 3/2
-
-
y= -3/2x - 3
putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture
How would you make this a fraction 1.67+2.82=__/__
Answer:
449/100
Step-by-step explanation:
1.67 + 2.82 = 4.49
4.49 = 4(0.01) + 49(0.01) = 449(0.01)
Multiplying 449 by 0.01 is the same as dividing 449 by 100
4.49 as fraction = 449/100
-Chetan
Can anyone plz help me out with this?
I am all mixed up
I also need to find the axis of symmetry as well.
Thanks for the help
I appreciate it
Answer:
Down here ↓↓↓↓↓
Step-by-step explanation:
(a) Does the Parabola open upward or downward
Upward - the open "space" is above the vertex, so it opens upward
(b) X and y intercepts
x - intercepts : where the graph touches the x - axis
x - intercepts = (2, 0) , (4, 0)
Warning, don't get it mixed up! X - intercepts have y - values of 0, and y - intercepts have x - values of 0
y - intercepts : where the graph touches the y - axis
y - intercepts = (0, 3)
(c) Vertex of the parabola
vertex: the point of symmetry
vertex : (4, -1)
(d) Axis of symmetry
axis of symmetry : x - value of vertex
axis of symmetry : x = 4
-Chetan K
On a map, 1 inch equal 11.7 miles. If two cities are 2.5 inches apart on the map, how far are they actually apart?
Answer:
29.25 miles
Step-by-step explanation:
We can use a ratio to solve
1 inch 2.5 inches
------------ = ----------------
11.7 miles x miles
Using cross products
1 * x = 11.7 * 2.5
x =29.25
Fred needs 410 game markers to play with his classmates and their families math night. He has 96 red markers, 123 blue markers, 106 yellow markers, and 72 green markers. Does he have enough game markers to play the game?
Answer:
No
Step-by-step explanation:
the reason why i said nonis cause 96+123+106+72=397 which means he still needs 13 more