Answer:
4
Step-by-step explanation:
Evaluate f(3) and g(2)
f(3) = 2(3) - 4 = 6 - 4 = 2
g(2) = - 3(2)² + 5(2) = - 3(4) + 10 = - 12 + 10 = - 2
Then
f(3) - g(2) = 2 - (- 2) = 2 + 2 = 4
8 oranges cost $.78. How much will he spend to buy 40 oranges
Answer:
$3.90
Step-by-step explanation:
To get from 8 to 40, you multiply by 40/8, so you have to do the same to $.78. .78 * 40/8 is equal to 3.9, which would be $3.90.
Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP
Answer:
The measure of an exterior angle = 125°
Hence, option A is correct.
Step-by-step explanation:
As the given triangle is a right-angled triangle ΔABC.
Given the angles
m∠A = 35°m∠C = 90°We know that the sum of angles in a triangle is 180°.
Thus,
m∠A + m∠B + m∠C = 180°
substituting m∠A = 35° and m∠C = 90° in the equation
35° + m∠B + 90° = 180°
125 + m∠B = 180°
subtract 125 from both sides
125 + m∠B - 125 = 180° - 125
m∠B = 55°
Thus, the measure of angle B is:
m∠B = 55°
As the exterior angle of the given triangle is adjacent to m∠B = 55°.
We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.
Here,
∠A and ∠C are two opposite interior angles of the exterior angle.
Thus,
The measure of an exterior angle is equal to the sum of two opposite interior angles.
as
m∠A = 35°m∠C = 90°so
Exterior angle = m∠A + m∠C
= 35° + 90°
= 125°
Thus, the measure of an exterior angle = 125°
Hence, option A is correct.
The solution of 25x=300 is
Answer:
The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .
Step-by-step explanation:
Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!
Line L is shown in the coordinate plane.
What are the coordinates of D?
Answer:
The coordinates of D is actually (8,10)
Step-by-step explanation:
8,10
did the math by counting up with y and x axis
Answer:
y = (5x) / 4 <----Line l
Step-by-step explanation:
(y - 5)(8 - 4)=(x - 4)(10 - 5)
4y - 20 = 5x - 20
One of the heaviest rainfalls recorded in Greentown in a 24-hour period was 178.8 centimeters. If the rainfall was constant. how many centimeter of rain fell during each hour
Answer:
7.45cm
Step-by-step explanation:
178.8 ÷ 24 hours = 7.45 centimetres per hour.
Find the 10th term of the arithmetic sequence in which 12 and d = 9.1.
Answer:
The 10th term=93.9
Step-by-step explanation:
[tex]a_{10} =12+(n-1)9.1\\ = 93.9[/tex]
Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.
Answer:
2.25 m/sStep-by-step explanation:
Looking at the graph, we observe that the interval CD is when the speed was the fastest
Let's calculate this, use points C(4,3), D(12,12)
(12 - 3)/(12 - 8) = 9/4 = 2.25 m/sPatrick drives from P to Q at an average speed of 40 mph . His drive back from Q to P is at an average speed of 45 mph and takes two minutes less.
How far, in miles, is it from P to Q?
Answer:
Distance=12 miles
Step-by-step explanation:
d=distance
t=time going
d/t=40 mph going
t-2/60=time returning (2 minutes/60 minutes per hour)
d/(t-2/60)=45 mph returning
set up equations:
d=40t
d=45(t-2/60)
substitute:
40t=45(t-2/60)
40t=45t-90/60
40t=45t-3/2
0=5t-3/2
5t=3/2
t=0.3 hours or 18 minutes
(time returning=16 minutes)
substitute:
d=40t=40(0.3)
d=12 miles
P and Q are 12 miles far from each other.
Given that
Patrick drives from P to Q at an average speed of 40 mph
Also he drives from Q to P at an average speed of 45 mph
Let "s" be the distance between P and Q in miles.
Let "t" be the time in minutes
There are 60 minutes in 1 hours
[tex]\rm So \;in \; "t" \; minutes \; there\; will\; be = \dfrac{t}{60} \ hours[/tex]
By the definition pf average speed we can write that
[tex]\rm Average \; Speed = \dfrac{Total \; distance }{Total \; time}\\[/tex]
The speed is given in two situations in miles per hour
Case 1 When average speed = 40 mph
[tex]\rm 40 = \dfrac{s}{t/60} \\\\\rm {40 = \dfrac{60s}{t} .....(1) }[/tex]
Case 2 When average speed = 45 mph
Given that Patrick takes two minutes less
[tex]\rm 45 = \dfrac{s}{(t-2)/60} \\\\45 = \dfrac{60s}{t-2 } ....(2)[/tex]
Solving for "s" from equations (1) and (2) gives us
[tex]\rm \bold {s = 12}}[/tex]
So we can conclude that P and Q are 12 miles far from each other.
For more information please refer to the link given below
https://brainly.com/question/21470320
i cant figure out 5/4 divided by 3/5
Answer:
25/12 is the answer
I hope it helps you
Answer:
0.0833333333
Step-by-step explanation:
id.k if correct i just g00gled it
can someone please answer this question the person to get it right gets brainiest!
help please WILL GIVE BRAINLIEST TO RIGHT ANSWER!
what is this 2x-5+22=?
Answer: 2x+17
Step-by-step explanation: add -5 and 22
______________________________
1.) Add −5 and 22:[tex]-5+22=17[/tex]
- You could also solve this by flipping the numbers around and subtracting 22 - 5, Which still gives you 17.
So your answer is [tex]\bold{(2x+17)}[/tex].
______________________________
If anyone willing to help, I'll be glad :)
Answer:
22
Step-by-step explanation:
Since its a parallelogram, opposite sides are congruent. Therefore:
BC = AD
a - 1.5 = 20.5
+1.5 +1.5
a = 22
Answer:
a=22
Step-by-step explanation:
a-1. 5 =20. 5 ( opposite side of parallelogram are equal )
or, a=20. 5+1. 5
or, a=22
you can do it from another side too.
2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )
or, 2a - a = 1. 2 + 20. 8
or, a = 22
Hope it will help you ☺✌
F (x) = 3x+2 find f(-4)
Answer:
Step-by-step explanation:
Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 15 years
Answer:
360,000
Step-by-step explanation:
Alright so first we need to find 4% of 600,000
So we get 24,000 now we multiply this by 15
24,000 x 15 = 360,000
Hope this helps
1
What is the slope of the line that passes through (2, 2) and (5,4)?
Answer:
The slope of the line= 2/3
Step-by-step explanation:
(2, 2)=(x, y) and (5, 4)=(`x, `y)
The formula for finding slope= `y-y/`x-x
4-2/5-2
2/3
Therefore, the slope=2/3
a + 6 + 3a + 5a2 + 2a + a2 + 1
Answer:
6a2 + 6a + 7
Step-by-step explanation:
Simplify the following expression,
3 + 4(2b - 5)
Answer:
8b−17
HOPE I HELP BRAINLYY PLZZZ
Help me please!! Thank you:)
Answer:
4, 12, 20, 28, 36
Step-by-step explanation:
to find Y you have to multiple x times 4 then subtract by 4
example: x=2 so you do 2(4) - 4
2(4) is 8 and 8 - 4 is 4
y = 4 and so on
An airplane can stay in the air for 6 hours..it has been in the air for 2.5 hours
9. Only 12 students can be in the next school play.
Let t represent the number of students who tried
out for the play. The number of students who tried
out but did not get a role is 42.
The perimeter of a rectangle is 48 cm. The length is 3 times as long as the width.
What is the width of the rectangle?
A. 4cm B.6cm C.8cm D.12.cm
What is 3 1/4 as a fraction
Answer:
13 / 4
Step-by-step explanation:
A coastal geologist estimates that a certain country's beaches are
eroding at a rate of 1.5 feet per year. According to the geologist's estimate,
how long will it take, in years, for the country's beaches to erode by 21 feet?
A. 14 years
B. 31.5 years
C. 28 years
D. 16 years
If 150 miles is 25% of a race, what is the length of the entire race?
3,750 miles
600 miles
37.5 miles
6 miles
Answer:
600 miles
Step-by-step explanation:
150x4=600
A hen has 50 eggs, she gives .5 to her hubby and they multiply that by 2 how much do they get
This question is just for fun :)
Answer: 50 lol it's the same
Step-by-step explanation: 50*.5 equals 25*2 equals 50 lol have a good day
Answer:
69
Step-by-step explanation:
it is a funny question
The probability of an event is 0.001.
Which of the following best describes the event?
A The event will never occur.
B There is a small chance that the event will occur.
C The event is likely to occur.
D The event will definitely occur.
B
Step-by-step explanation:
it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening
Answer:
Step-by-step explanation:
0.001 means 1/1000
The answer depends on what is being described.
If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.
If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.
That said, I think the answer you want is B, but I'm not fond of the question.
If it is true that z2 - 6 = 19, then z2 + 6 = ?
-X + (1/2)y = 3
In slope intercept form
Answer:
moonano
Step-by-step explanation:
All triangles are equal to ______ degrees
Answer:
180
Step-by-step explanation: