No the larger the number the steeper the slope. 1 would be a steeper slope than a number less than 1.
Find the domain of the function using interval notation.
f(x) =
1
x2 − x − 6
Answer:
(x+3)(x-2)
Step-by-step explanation:
Consider the function f(t) =
√²-9.
(a) Find the domain of f(t). Express your answer as an interval or union of intervals.
x
(b) Solve f(t) = 4. Enter your answer as a comma separated list.
t =
x
Step-by-step explanation:
a (-infinite , -3) U (3 , infinite)
b + 5 , - 5
7. If y + z = 4, and yz = 3.then find y + z = ?
Answer:
7
Step-by-step explanation:
I added the answer of y + z and yz it gave me 7
The volume of a cube is 27 cubic inches. What is the length of each edge of this cube?
a. 13.5 inches
b. 9 inches
c. 3 inches
Answer:
Option c. 3 inches
Step-by-step explanation:
Volume=27 inches³
By applying the volume formula of cube, we get
L³=27 inches³
L³=(3 inches)³
Hence the cube cancels the opposite side's cube
L=3 inches
If there are 100 students in your class and everybody flips a coin five times, how many people are likely to get five heads in a row?
This is with the assumption that every time you flip a coin, the chance that heads will end up on top is 1 in 2.
Will award brainiest, thank you!
If you flip a coin once, you have a 1/2 chance of getting heads. You will get either a head or tail.
Flipping a coin twice gives you a 1/4 chance of getting 2 heads since you will either get a 2 heads, 2 tails, a tail then head, or a head then tails.
From this we can see its pretty likely the pattern will continue if our chances of continually getting a head keeps halfing. So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin.
So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.
Here we have a probability problem.
We will find that the expected number of students that gets 5 heads in a row is 3.
First, we need to find the probability of getting 5 heads in a row.
We assume that the probability of getting heads in a flip is p = 1/2 = 0.5
Then for getting heads 5 times in a row, the joint probability will be the product of the individual probabilities, we get:
[tex]P = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = (0.5)^5 = 0.03125[/tex]
Now if we have N persons, such that all of them flip a coin 5 times, the expected number of people that will get 5 heads in a row will be equal to the total number of people times the probability of getting 5 heads in a row.
N*P
So if in the class there are 100 students, we have N = 100
The expected number of students that will get 5 heads in a row is:
[tex]100*P = 100*0.03125 = 3.125[/tex]
Because we can have a 0.125 of a student, we need to round this to the nearest whole number, which is 3.
So we should expect that 3 students will get 5 heads in a row.
If you want to learn more, you can read:
https://brainly.com/question/17089724
We're planning to enclose a rectangular field with fencing, and we know that for whatever reason we want the field to be 50 feet square. We also know that the field's width should be 23 feet longer than the field's length. What are the field's dimensions?
Answer:
[tex]? \times \frac{?}{?} [/tex]
d
Answer:
2 by 25 feet.
Step-by-step explanation:
Let L and W be the length and the widht of the field
we want W = L + 23 and W x L = 50
So
(L + 23) x L = 50
[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]
Since L must be positive then L =2 and W = 2 + 23 = 25.
Is 5x + 2 = 2x + 14 a one solution or a no solution or a real number
Answer:
it would be one solution
Step-by-step explanation:
It has one solution and is also a real number, but there's no pi or square root, so i'd go with one solution for the correct answer
Answer: One solution.
x=4
Step-by-step explanation: 5x+2−2x=2x+14−2x 3x+2−2=14−2 3x/3=12/3 x=4
2 3/8 as a mixed number
Answer:
19/18
Step-by-step explanation:
The mixed number 2 3/8 can be changed into the improper fraction 19/8.
[(-5+1) = 2] - |-7 l
Answer:
-9
Step-by-step explanation:
The histogram below shows the number of points scored by a high school basketball team over two seasons.
One player on the team wants to emphasize that his team generally scored a lot of points. Which measure of center should he report: the mean or the median?
a. He should report the mean.
b. He should report the median.
c. He could report either because they are equal.
d. The exact number of points per game are needed to decide.
To median should be reported in the to show th general measure of center since we have a skewed distribution.
The plot of the histogram Given is skewed to the right, hence it is positively skewed.
In a positively skewed distribution, the mean value of the distribution is always greater than the median. However, it does not give an accurate measure of center as much as the median does.
Therefore, if a player want to emphasize that his team generally scored a lot of points, then reporting the median would be best as it gives a better measure of center.
If the data was normally distributed, then the mean would be a better measure of center.
Learn more : https://brainly.com/question/1363341?referrer=searchResults
Answer:
b
Step-by-step explanation:
becuse it looks like she talking about the letter b
Can someone please help and explain
Answer:
[tex]c = 300000 {(1.05)}^{50} [/tex]
Step-by-step explanation:
The future value formula is FV=PV(1+i)^n, where the present value PV increases for each period into the future by a factor of 1 + i. value PV increases for each period into the future by a factor of 1 + i.
[tex]fv = pv {(1 + r)}^{n} [/tex]
fv = future value
pv = present value
r = annual interest rate ( decimal number)
n= period
Find BC if AC = 13 and AB = 10
Answer:
BC=3
Step-by-step explanation:
We can solve this by eliminating given detail of A.
AC=13 , AB=10
To find BC, We minus AC With AB
BC= AC-AB
BC=3
3 Is the final answer
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
How did growers in the South attempt to rebuild their cotton market?
Produced more cotton
Raised the price of cotton
Hired more laborers
Sold their land
Help will give allot of Brainly points
Answer:
Both triangles have marked congruent angles
Step-by-step explanation:
What is the graph of the solution set of the compound inequality?
-5 < a – 6 < 2
Answer: the third option I believe
Step-by-step explanation:
A golfer observed that 2 out of every 3 balls she hit landed near the hole. If she hits 72 shots, approximately how many times will her ball land near the hole?
9514 1404 393
Answer:
48
Step-by-step explanation:
About 2/3 of her 72 shots will land near the hole.
2/3 × 72 = 48
Her ball will land near the hole approximately 48 times.
2(x-5)=14
Solve for x.
Answer:
x=12
Step-by-step explanation:
2(x-5)=14
Multiply 2 into the parenthesis
2x-10=14.
Add 10 both sides.
2x=24
Divide 2 both sides.
x=12
3.32x10^-5 divided by 1.1x10^7=
Answer:
is it 301.818181818
Step-by-step explanation:
if not i don't know i never learned that and that's wat the calculator gave me
An airplane is flying in a direction of 165° with an airspeed of 650 mph. The wind is blowing at 50 mph in a direction of N 30° E. What is the ground speed and direction of the plane?
A) ground speed: 658 mph; direction 108°
B) ground speed: 639 mph; direction 161°
C) ground speed: 686 mph; direction 108°
D) ground speed: 698 mph; direction 161°
Answer:
B) Ground speed: 639 mph; direction 161°
Step-by-step explanation:
165° = 75° South of East = S15°E, therefore;
The component of the speed of the airplane are;
650 × cos(75°) East or x-direction in vector form:[tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}$[/tex]
650 × sin(75°) South or negative y-direction in vector form: [tex]$-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]
The speed of the airplane is [tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]
The speed of the wind in vector form is 25i + 25·√3 j
The combined speed of the airplane and the wind is found as follows;
Combined: [tex]$\left(650 \times \cos \left(75^{\circ}\right)+25\right)\left[\dot{i}+\left(25 \cdot \sqrt{3}-650 \times \sin \left(75^{\circ}\right)\right) \mathrm{j}\right.$[/tex], which gives;
The resultant speed of the airplane, [tex]$\left.R=\sqrt{(} 193.23^{2}+(-584.55)^{2}\right)=615.66$[/tex]
The resultant speed of the airplane, [tex]$\mathrm{R}=615.66 \mathrm{mph}$[/tex]
The direction =[tex]$\arctan ((-584.55) /(193.23))=-71.7^{\circ}$[/tex]
The bearing [tex]$=90^{\circ}+71.7^{\circ}=162^{\circ}$[/tex]
Therefore, the closest option is option B, ground speed: 639 mph; direction 161°
Learn more about speed refer:
https://brainly.com/question/1886881627/50 converted to a decimal
Answer:
0.54
Step-by-step explanation:
27/50
= 0.54
Hope it helps.
Pls someone help I’ll give Brainly points
Answer:
These triangles are simliar because they're all scalene.
Step-by-step explanation:
The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.
The triangle BCD is also an acute triangle and scalene.
The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.
If $1000 is invested for 2 years with a 3% yearly interest rate. What is the amount of simple interest
Answer:
Total: 1060 Gain: 60
Step-by-step explanation:
1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060
Help pls will give Brainly points
Answer: yes
Step-by-step explanation:
53664 times 84 show work
I don’t know how to do this. Can someone help?
Answer:
x1=8
x2=1/5
Step-by-step explanation:
1,000,000,000,000 x 4
How do you write this with an exponet of 10
Answer:
12
Step-by-step explanation:
their is 12 zeros so it's 12
write the equation of the line that satisfies the following conditions.
Answer:
x = 8
y = -6
Step-by-step explanation:
Vertical lines have a undefined slope and horizontal lines have a slope of 0. You'll write the equations for these types of lines like this.
Vertical Lines (x = x-intercept)Horizontal Lines (y = y-intercept)Since we don't have two points, we are going to have to graph the points and draw a line to find the intercepts. The graphs will be shown below. From finding out what the intercepts are, we can substitute the according values into the formula shown above.
x = 8
y = -6
Best of Luck!
68. Evaluate - 2a + 6b when a = 6 and b = -3
-2a + 6b
= -2(6) + 6(-3)
= -12 + (-18)
= -30
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{-2a + 6b}[/tex]
[tex]\huge\textsf{= -2(6) + 6(-3)}[/tex]
[tex]\huge\textsf{= -12 + (-18)}[/tex]
[tex]\huge\textsf{= -12 - 18}[/tex]
[tex]\huge\textsf{= -30}[/tex]
[tex]\huge\textsf{Therefore, your answer is: -30}[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\huge\textsf{Amphitrite1040:)}[/tex]Carla has 4 packages of socks, and Jenna has 1 package of socks. Each package has 6 pairs of socks. Carla found the total number of pairs of socks by adding (6 times 4) + (6 times 1). Jenna used a different method but got the same answer. Which strategy did Jenna use?
A. 6 + 4 + 1
B. 6 times 4 + 1
C. (6 times 1) + 4
D. 6 times (4 + 1)
A test has 20 questions. The test awards 3 points if the answer is correct and takes
away 1 point if the answer is incorrect. A student answered 5 questions incorrectly.
How many points did the student lose?
Show your work.
Answer:
55
Step-by-step explanation:
20 * 3 = 60
60 marks - 5 Incorrect answer (5 marks deducted)
55 Marks
