Complete Question:
Determine whether the statement is true or false. If it is false, provide an explanation or give an example.
If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?
Answer:
False
Step-by-step explanation:
Given
[a,b]
Where f(x) is decreasing
Required
Is the minimum f(a)?
This statement is false and it is proved using the following illustration
Take f(x) to be
[tex]f(x) = -2x[/tex]
The above represents a decreasing function because:
f(x) decreases as x increases
Having said that:
Assume [a,b] is:
[tex][a,b] = [2,5][/tex]
Substitute the value of a i.e. 2 for x in f(x)
[tex]f(2) = -2 * 2[/tex]
[tex]f(2) = -4[/tex]
Substitute the value of b i.e. 5 for x in f(x)
[tex]f(5) = -2 * 5[/tex]
[tex]f(5) = -10[/tex]
Notice that f(b) < f(a) i.e. -10 is less than -4
Hence:
f(x) is minimum at f(b)
Conclusively, the statement is false
PLS HELP!! What is the value of X
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s6.20 bl/s and standard deviation 1.58 bl/s.1.58 bl/s. (a) What is the probability that an ant's speed in
This question is Incomplete
Complete Question
Researchers recorded the speed of ants on trails in their natural environments. The ants studied, Leptogenys processionalis, all have the same body size in their adult phase, which made it easy to measure speeds in units of body lengths per second (bl/s). The researchers found that, when traffic is light and not congested, ant speeds vary roughly Normally, with mean 6.20 bl/s and standard deviation 1.58 bl/s. (a) What is the probability that an ant's speed in light traffic is faster than 5 bl/s? You may find Table B useful. (Enter your answer rounded to four decimal places.)
Answer:
0.7762
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Population mean = 6.20 bl/s
Standard deviation = 1.58 bl/s.
x = 5 bl/s
z = 5 - 6.20/1.58
z = -0.75949
The probability that an ant's speed in light traffic is faster than 5 bl/s is P( x > 5)
Probability value from Z-Table:
P(x<5) = 0.22378
P(x>5) = 1 - P(x<5)
= 1 - 22378
= 0.77622
Approximately to 4 decimal places = 0.7762
The probability that an ant's speed in light traffic is faster than 5 bl/s is 0.7762
On a number line , the line segment from Q to S has endpoints Q at 15 and S at 40. Point R partitions the line segment from Q to S in a 6:3 ratio. What is the location of point R?
Answer:
31.67
Step-by-step explanation:
Given :
Segment QS
Endpoints for Q and S
Q = 15
S = 40
R partitions QS in a 6 : 3,
Sum of ratio = (6 + 3) = 9
Position of R:
(Q's proportion/total ratio) * (S - Q) + Q
6/9 * (S - Q) + Q
6/9 * (40 - 15) + 15
2/3 * 25 + 15
50/3 + 15
16.67 + 15
31.67
Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
what is the measure of CED
Step-by-step explanation:
The measure of CED is p degree.
In triangle ABC and EDC,(Given)(Vertical opposite angles)
By AA rule of similarity,
Corresponding angles of similar triangles are same.
Therefore the measure of CED is p degree.
pls give brainest
(–15)0 is it less than one? Zero is an exponent.
Answer:
Yes its less than 0
Step-by-step explanation:
it would go behind the 0 on a number line
A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = [tex]1\dfrac14[/tex] cups
Since, [tex]1\dfrac14=\dfrac{5}{4}[/tex]
Required Gulf shrimp = [tex]\dfrac54[/tex] cups
Then, for 1 people Gulf shrimp required = [tex]\dfrac{5}{4}\div 5[/tex]
[tex]=\dfrac54\times\dfrac{1}{5}[/tex]
[tex]=\dfrac14[/tex] cup
For 12 people, it is required = [tex]12\times\dfrac14 = 3\text{ cups}[/tex]
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7
how do i solve this
Answer:
Solution: x=5, y=4
Step-by-step explanation:
System of Equations
We need to solve:
- 5x + 9y = 11
x - 3y = - 7
There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:
x = - 7 + 3y
Now replace it into the first equation:
- 5(- 7 + 3y) + 9y = 11
Operate:
35 - 15y + 9y = 11
Simplify:
35 - 6y = 11
Rearrange:
- 6y = 11 - 35 = -24
Solve:
y = -24 / -6
y = 4
Finally, since
x = - 7 + 3y
x = - 7 + 3*4
x = - 7 + 12
x = 5
Solution: x=5, y=4
Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8
Answer:
1.4
Step-by-step explanation:
What are the coordinates of the point (-3, 4) after a translation 5 units
right and 6 units down?
Answer:
(2,-2)
Step-by-step explanation:
Match the scenario with the law of logic it illustrates.
Question 1 options:
__Law of Syllogism
__Not a valid conclusion has been made.
__Law of Contrapositive
__Law of Detachment
1.
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2.
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet.
3.
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4.
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
I just took this and got an A, so here are the answers :)
Make sure to take notes or put this with your notes! :))
Answer:
Law of Syllogism: 3
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
Not a valid conclusion has been made: 4
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
Law of contrapositive : 2
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet
Law of Detachment: 1
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
explanation:
Syllogism:
p → q and q → r then p → r is also true.
Contrapositive:
If not q, then not p.
Detachment:
If p , then q
Hulu has two different subscription prices. You can pay $6.88 per month for the year or $60.00 per year. How much less per month is the annual subscription?
Answer:
$22.56
Step-by-step explanation:
$6.88 ⋅ 12 = $82.56
So you would have to pay $82.56 per year if you paid $6.88 per month.
$82.56 - $60.00 = $22.56
You would save $22.56 if you paid $60.00 per year.
Hope I helped :)
Please consider Brainliest :)
divide and answer in simplest form: 1/3 divided by 5
Answer:
1/15
Step-by-step explanation:
1. You can divide 1/3 by 5 by changing the division symbol to its reciprocal, multiplication, and also divide by the reciprocal of the number after the symbol, 5. The reciprocal of 5 is 1/5.
2. Now you can do 1/3 multiplied by 1/5. Multiply the numerators by the denominators. The numerators are 1 and 1, so you multiply 1 by 1 which equals 1. Now you multiply the denominators, 3 and 5, which is equal to 15. If the numerator is now 1, and the denominator is 15, the new fraction is 1/15, getting you to your answer
How do I Evaluate f(5).
Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?
Answer:
20 miles.
Step-by-step explanation:
To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.
Let [tex]m[/tex] equal the number of miles.
If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:
[tex]100+3m[/tex]
If Hertz Rental charges $8 per mile, we can represent this as:
[tex]8m[/tex]
Set the expressions equal to each other:
[tex]8m=100+3m[/tex]
Subtract [tex]3m[/tex] from both sides of the equation:
[tex]5m=100[/tex]
Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:
[tex]m=20[/tex]
Therefore, after 20 miles, the total cost for both companies will be the same.
_
Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:
[tex]8(20)=100+3(20)[/tex]
[tex]160=100+60[/tex]
[tex]160=160[/tex]
As the total costs are equal to each other, our answer is correct!
Answer:
20 miles
Step-by-step explanation:
160=$3(20)=100
8x20=160
Evelyn bought 8.4 gallons of gas for $23.94. what equation can be used to determine the price of each gallon of gas?
Answer:the equation would be
8.4x=23.94
Step-by-step explanation: I know my math :)
Pleas help I am brainliesting and show the steps
Answer:
2 and 1/3 ---->>> 2 1/3
Step-by-step explanation:
At 4, its 4 cm
Within 3 hours it has gained 7 cm
7/3=2.33333
2 1/3 would be the mixed number
can i get brainliest please?
hello I need help on it
42145357556574455247788555
c. One sixth of a number is 15. What is the number?
Please explain step by step.
Answer:
90
if 15 is 1 6th then yo need 5 more 15s to find out the whole number
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Equal angles; Vertical angles ( which means equal ) ; Angles do not share special relationship; and right angles.... Hope this helps!
Step-by-step explanation:
A projectile is launched straight up from the ground with an initial velocity of 120 ft/s. If acceleration due to gravity is –16 ft/s2, after about how many seconds will the object reach a height of 200 ft?
Answer:
The projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Step-by-step explanation:
This projectile is experimenting a free fall, that is, an uniform accelerated motion of the projectile due to gravity and in which effects of air friction and Earth's rotation are neglected. Given that initial and final heights, initial velocity and gravitational acceleration are known, we need to calculate time by solving the appropriate equation of motion described below:
[tex]y = y_{o} +v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (Eq. 1)
Where:
[tex]y_{o}[/tex] - Initial height of projectile, measured in feet.
[tex]y[/tex] - Final height of projectile, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of projectile, measured in feet per second.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
As we must remember, quadratic functions have two roots and if we get that [tex]y_{o} = 0\,ft[/tex], [tex]y = 200\,ft[/tex], [tex]v_{o} = 120\,\frac{ft}{s}[/tex] and [tex]g = -16\,\frac{ft}{s^{2}}[/tex], then, the quadratic function is:
[tex]-8\cdot t^{2}+120\cdot t -200 = 0[/tex]
Roots are found by the Quadratic Formula:
[tex]t_{1,2} = \frac{-120\pm \sqrt{120^{2}-4\cdot (-8)\cdot (-200)}}{2\cdot (-8)}[/tex]
Whose solutions are:
[tex]t_{1} \approx 13.090\,s[/tex] and [tex]t_{2} \approx 1.910\,s[/tex].
Both roots are physically reasonable, first root represents the instant when the projectile reaches 200 feet when it is moving downwards, whereas second root represents the projectile moving upwards. Therefore, the projectile will reach a height of 200 ft after 1.910 seconds and 13.090 seconds of being launched.
Answer:
It will take 2.5 s to reach a height of 200ft.
Step-by-step explanation:
Ali spent $42 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend on fruit
what Mitochondria of a
of a cell
Answer:
membrane-bound cell organelles
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
James has 851 feet of rope. There are 14 teams of hikers. If James gives an equal amount of rope to each team how much rope will each team receive
Answer:
60 is your answer :)
Step-by-step explanation:
hope this helps :)
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Answer:
Step-by-step explanation:
URGENT!!!!!!!! PLS HELP DUE IN 5 MINUTESSS
The graphs show the costs of four canoe outfitters on the Brazos River The outfitters charges a minimum fee to rent une
In addition to a rental charge for each hour.
Which graph shows a minimum fee of $10
A) A
B) B
C) C
D) D
Answer:
it should be A
Step-by-step explanation:
The x-axis is going up by 2 meaning that it should be half of 10 on the y'axis (so sorry if this is wrong)
Anyone ??? Help with this one
Answer:
(4x-3y)(4x+3y)
Step-by-step explanation:
This is a difference of squares equation. As it says, ([tex]x^{2} -y^2[/tex]) is equal to (x-y)(x+y)
Simply apply the formula to your numbers, [tex]16x^{2} -9y^2[/tex].
It gives the hint of [tex]16x^{2}[/tex] is equal to (4x)^2. and, 9y^2 is equal to (3y)^2, since if you square 4x and 9y, they get 16x^2 and 9y^2 respectively.
Now, you need to do (4x-3y)(4x+3y)
Hope this helps
2.685
x 102
Expanded form
Answer:
2.685 + 2.685 + 2.685 + 2.685 + 2.685 + 2.685. . . . . 102 times.
Step-by-step explanation:
Think of this as 102 times of 2.685.
So you would add 2.685 together 102 times.
(I didn't want to type out 2.685 that many times)
Hope I helped :)
Please consider Brainliest :)
What is the measure of the missing angle?
36°
57°
Answer:
7767788877787887+-77-7