Answer:
2: 45 3: 45 4: 135 5: 135 6: 45 7: 45
Step-by-step explanation:
they are vertical angles meaning they will mirror each other, subract 135 from 180 and you will get the other angle
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
The winner of a raffle will receive a 21-foot outboard boat. If 5000 raffle tickets were sold and you purchased 40 tickets, what are the odds against your winning the boat?
Answer:
You have a 0.8% chance of winning, and a 99.2% chance of losing
What is 1\10 x 1.2 >>>>>>>>>>>>>>>>>>>>>>>>
Answer:
1/10 x 1.2 is 0.12
Step-by-step explanation:
so yeeeeeeee
Deandre wants to earn at least $30 trimming trees. He charges $7 per hour and pays $5 in equipment fees. What are the possible numbers of hours Deandre
could trim trees?
E
Use t for the number of hours.
Write your answer as an inequality solved for t.
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
3(g + 4) = 9
Need help
Answer:
g=-1
Step-by-step explanation:
3(g+4)=9
Divide both sides by 3.
g+4= 9/3
Divide 9 by 3 to get 3.
g+4=3
Subtract 4 from both sides.
g=3−4
Subtract 4 from 3 to get −1.
g=−1
Answer:
3(g+4)=9
or, 3(g+4)/3=9/3 [Dividing both sides by 3.]
or, g+4=3
or, g+4-4=3-4 [Subtracting 4 from both sides.]
So, g=-1
An engineer is designing a fountain that shoots out drops of water. The nozzle from which the water is launched is 3 meters above the ground. It shoots out a drop of water at a vertical velocity of 14 meters per second. Function h models the height in meters, h, of a drop of water t seconds after it is shot out from the nozzle. The function is defined by the equation h(t)=−5t2+14t+3. How many seconds until the drop of water hits the ground?
Answer:
After 3 seconds
Step-by-step explanation:
Given
[tex]h(t) = -5t^2 + 14t + 3[/tex]
Required
Time the drop will hit the ground
When the drop hits the ground,
[tex]h(t) = 0[/tex]
So, we have:
[tex]0 = -5t^2 + 14t + 3[/tex]
Rewrite as:
[tex]5t^2 - 14t - 3 = 0[/tex]
Expand
[tex]5t^2 + t - 15t - 3 = 0[/tex]
Factorize
[tex]t(5t + 1) -3(5t + 1) = 0[/tex]
Factor out 5t + 1
[tex](t -3)(5t + 1) = 0[/tex]
Split
[tex]t -3 = 0[/tex] or [tex]5t + 1 = 0[/tex]
Solve for t
[tex]t = 3[/tex] or [tex]5t = -1[/tex]
Time cannot be negative.
So:
[tex]t = 3[/tex]
The athletic department manager purchased a total of 52 footballs and soccer balls. Each football cost $23.53, and each soccer ball cost $19.86. If the manager spent a total of $1,120.80, how many soccer balls did the manager purchase?
Answer:
The manager purchased 28 soccer balls.
Step-by-step explanation:
Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:
x+y=52, where:
x is the number of footballs purchased
y is the number of soccer balls purchased
Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:
23.53x+19.86y=1,120.80
Now, you have 2 equations:
x+y=52 (1)
23.53x+19.86y=1,120.80 (2)
To be able to find the value of x and y, first you can isolate x in (1):
x=52-y (3)
Then, you can replace (3) in (2) and solve for y:
23.53(52-y)+19.86y=1,120.80
1,223.56-23.53y+19.86y=1,120.80
1,223.56-1,120.80=23.53y-19.86y
102.76=3.67y
y=102.76/3.67
y=28
Finally, you can replace the value of y in (3) to find the value of x:
x=52-28
y=24
According to this, the answer is that the manager purchased 28 soccer balls.
Find the gradient of the line segment between the points (-1,3) and (1,-2).
Give your answer in its simplest form.
The answer is -5/2, hope this helps you!
Evaluate the expression for a = 3, b = 4, and c = 6
a^3 - b + c
Answer:
3^3 - 4+6 = 17
Step-by-step explanation:
First you would do the exponents. 3 to the power of 3 (3^3) is 27.
Then you would add 4 and 6 (4+6) which will give you 10.
Finally, you would need to subract 10 from 27 (27-10) and you would get 17.
Hope this helps! :)
Answer:
29
Step-by-step explanation:
The expression is
a^3 - b + c
You just have to plug in the numbers, then evaluate,,
(3)³ - (4) + (6)
Let's start off with the exponent, so (3)³ = 3×3×3
3×3=9
9×3=27
Now, we have 27 - (4) + (6)
We have to get rid of the parenthesis so multiply the symbol next to it, - × 4 = -4, and + × 6 = +6. Now rewrite the equation.
27 - 4 + 6
27 - 4 = 23
23 + 6 = 29
Therefore, the answer its 29.
Hope this helps,
-Ketifa
helpp
Lily bought shares for $15 each.
When she sold the shares she made
a profit of 35%.
What price did she sell the shares for?
Answer:
profit %=35%
cp=Rs15
sp=?
profit amount =?
now,
sp=35%of cp
=35 of 15
__
100
= 5.25
again,
sp =cp + profit
=15+5.5
=20.5#
Step-by-step explanation:
hope it helps
If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?
Answer:
54 percent
Step-by-step explanation:
The final probability is a weighted average of the going to play probabilities determined for each weather scenario:
P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +
If it doesn't rain, P(John plays cello) * P(it doesn't rain) =
0.54 = 0.6 * 0.7 + 0.4 * 0.3
The likelihood is 54 percent.
The area of a rectangle if the length is 5 more than 4 times the width, what's the algebraic expression for this question
The area of a rectangle if the length is 5 more than 4 times the width, the algebraic expression for this is, A = (4b + 5) × b
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
The length is 5 units more than 4 times the width
Suppose,
length = l
width = b
So, according to given condition
l = 4b + 5
Now, the area for rectangle is
A = length × width
A = l × b
A = (4b + 5) × b
Hence, the algebraic expression is (4b + 5) × b
To learn more about Area check:
https://brainly.com/question/16151549
#SPJ2
To model some data, Anne ran a linear regression and found the regression equation to be y=0.554x-0.507.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]y = 0.554x - 0.507[/tex]
The question is incomplete; however, a possible question could be to interpret the given equation.
The equation is given in slope intercept form i.e. [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
So, by comparing:
[tex]y = mx + b[/tex] to [tex]y = 0.554x - 0.507[/tex]
[tex]m = 0.554[/tex]
[tex]b = -0.507[/tex]
Hence, the slope of the regression is 0.554 and the y intercept of -0.507
Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)
Answer:
-27
Step-by-step explanation:
3(-2)³-2-1 =
3(-8)-3 =
-24-3=-27
A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?
Answer:
I think after 1.6 s it Will catch the dog
if 2f(x)-3f(1/x)=x^2 determine f(2)
help me with this math question gr 8 math please
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
I solved C first using:
30+38+c = 180 (angles along a straight line should add up to 180 since a whole circle is 360)
-
I solved A by looking across from C.
Angles on opposite sides should mirror each other but A includes 38* + C
Just by doing 112 + 38 you get 150.
-
I solved D by looking at 30*, alternative interior angles are the same so D is 30*.
-
I solved B by taking C (112) and D (30) and adding them together and subtracting from 180.
Interior angles of a triangle should all add up to 180,
112 + 30 + B = 180
From this I got that B was 38.
Alternatively you can find this out by looking at the 38 degrees, corresponding congruent angles are always the same.
I suggest reviewing this angles sheet if you're ever stuck in the future.
Answer:
C = 112, A = 150, D = 30, B = 38
Step-by-step explanation:
Smart People Come Get Yall Juice...
Answer:.......................
Step-by-step explanation: where is the juice...?
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Susie begins a new program with 600 m on the first day each day she will increase her walk by 200 m how many kilometres will she walk on day 18 of her program
Answer: Susie walked 4000 kilometers on day 18 of her program
Step-by-step explanation:
The question explains an arithmetic progression of Susie's walk program
Now the nth term of an AP is given as
an = a1 + (n - 1 ) d
a1 =First term = 600 m
common difference , d =200
The 18th day of her program will be
a18 = 600+ (18 - 1 ) 200
a18 = 600+ 17 x200
a18 = 600+3,400
a18 = 4000
Mrs. Byrne’s class went raspberry picking. The data below show the weights of the cartons of raspberries the students picked.
answer asap no wrong answer ~-~
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The radius of the circle, r = 8 cm
The area of the sector, [tex]A=56\pi \ cm^2[/tex]
We need to find the measure of the sentral angle. The formula for the area of a sector is given by :
[tex]A=\dfrac{1}{2} r^2\theta[/tex]
Where
[tex]\theta[/tex] is the central angle
Substitute all the values,
[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]
So, the correct option is (b).
please help! will give brainliest. review the graph of function h(x). what is lim x-2 h(x), if it exists
Answer:
the answer is 0 or a
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
3100
Step-by-step explanation:
V=πr2h
= 3.14 x [tex]10^{2}[/tex]x10
= 3100
It takes Lauren 13 minutes to walk 1 mile. How many miles can
Lauren walk in 52 minutes?
Answer:
4
Step-by-step explanation:
if it takes her 13 mins to walk 1 mile and we need to know how many miles she can walk in 52 mins than the equation for this word problem would be: 52÷13=4
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answer:
$.27
Step-by-step explanation:
.105/7*18
Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3
Answer:
The volume of the shape is 560 ft^3
Step-by-step explanation:
To find the volume of the figure, we need to multiply the base area by the height of the figure
mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths
We have this as 8 ft * 10 ft = 80 ft^2
So multiplying this by the height which is 7 ft, we have this as;
7 ft * 80 ft^2 = 560 ft^3
Determine if the expression 9y^5+ y − 3y^3is a polynomial or not. If it is a
polynomial, state the type and degree of the polynomial.
Answer ASAP! Best Answer Will Be Awarded, Links Will Be Reported. Thanks!
Answer:
D
Step-by-step explanation:
They're not similar because the angle lengths are different.