Answer:5
Step-by-step explanation:
The range of the function g(x) = a[x], where a < 0, is y ≤ 0.
What is the greatest integer function?The function f(x) = [x], where [x] represents the greatest integer less than or equal to x, has a range of y ≤ 0. This means that the output of the function f(x) can be any number less than or equal to zero, including negative integers, zero, and non-negative fractions.
Consider the function g(x) = a[x], where a is a negative constant. When we multiply the input x by a the output of the function is also multiplied by a. Since a is negative, the sign of the output is flipped. Moreover, the output is an integer, as [x] is an integer for all x.
Here, the range of the function g(x) = a[x] is y ≤ 0.
This means that the output of the function g(x) can be any negative integer, zero, or any non-positive fraction, as these are the numbers that are less than or equal to zero.
Thus, the range of the function g(x) = a[x], where a < 0, is y ≤ 0.
To learn more about the greatest integer function here:
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A DEPOSIT OF $600 EARNS 2.5% INTEREST FOR 6 YEAR?
Answer: $73.80 in interest over a 6 year period
Step-by-step explanation:
600*0.0205= 12.30*6=73.80
Answer:
Step-by-step explanation:
if you have 600 dollars in the bank, and 2.5% interest
600*2.5/100=15 dollars per year
6*15=90 dollars interest in 6 years
Work out the area of this triangle, stating the units of your answer.
A factory packed 85 teddy bears into large boxes for delivery to a toy store. Each large box held 9 teddy bears. The remaining bears was packed into a small box. How many teddy bears were packed in the small box. what i am asking is what the remainder for this question.
Answer:
9.4
Step-by-step explanation:
85/9=9.4...
I put ... at end because it continues forever the 4s I hoped I helped
Find the volume of the cube
Answer:
You just do 3/4 × 3/4 × 3/4 to find the volume. the answer would be 27/64 in fraction form. in decimal form it would be 0.421875
Answer:
0.421875 if its wrong sorry
Step-by-step explanation:
simple math! (i'll mark you)
Answer: 20% of 248.00 is the same as 10% + 10% of 248 and the answer is 49.6
Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC?
Question options:
A) To the left five units, down three units.
B) To the right five units, up three units.
C) To the right five units, down three units.
D) To the left five units, up three units.
Answer:
B
Step-by-step explanation:
HELP!!
Given 3 is a leg of a right triangle and 13 is the hypotenuse, what is the length of the other leg of the right triangle? Round
your answer to the nearest hundredth (2 decimal places)
Answer:
12.64 (unrounded)
Step-by-step explanation:
formula; a^2+b^2=c^2
you have your given which is 3 and hypotenuse of 13
plug in 3^2+b^2=13^2
solve 9+b^2=169
subtract 9 to the right side
169-9=160
bring down b^2=160
get rid of the square so [tex]\sqrt{160}[/tex]
which will be 12.64 unrounded
What quantity is being measured: 54ON
Answer:
Force
Step-by-step explanation:
The n at the end stands for newtons and this is the measurement for force.
HOPE THIS HELPED
Write an example of the Commutative Property of Multiplication.
help pleassssssseeee
Answer:
Commutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4 Associative Property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. For example (2 * 3) * 4 = 2 * (3 * 4)
Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.
Please help me I need this answer
Answer:
Then answer is 10.
Step-by-step explanation:
9 would cover 1,800 square feet so 925 square feet would be left so you should buy 10 cans.
Answer:
10
Step-by-step explanation:
1 Can= 200 sq ft
x cans= 1925 sq.ft
x= 1925/200
= 9.6 ~ 10 sq. ft
Ava planned to paint 5 flowerpots. She painted 4 already. What percentage of her work is complete?
O 75%
O 80%
O 20%
O 50%
Answer:
80%
Step-by-step explanation:
4/5 = .8
.8 = 80%
Show below is a blueprint for a rectangular kennel at a pet hotel.
What is the total length of fencing needed to enclose the kennel?
Answer:
74 feet
Step-by-step explanation:
You're searching for perimeter
P = 2( L + W)
P = 2( 24 + 13)
P = 2( 37)
P = 74
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 8 dogs and made a total of $49. How many small dogs did Ryan walk?
Ryan walked
small dogs.
Answer:
small dogs= 5
large dogs= 3
Step-by-step explanation:
Step one:
given data
let the number of small dogs be x
and the number of large dogs be y
Ryan earns $5 for each small dog he walks and $8 for each large dog he walks.
He walked 8 dogs and made a total of $49
so
5x+8y=49----------1
x+y=8---------------2
x=8-y
5(8-y)+8y=49
40-5y+8y=49
collect like terms
3y= 49-40
3y=9
divide both sides by 3
y=9/3
y=3
put y= 3 in eqn 2
x+3=8
x=8-3
x=5
2 quarts of milk cost $2.52. How much does one quart cost?
Answer:
1.26 is the price of one mile
Answer:
1 quart is $ 1. 26
Step-by-step explanation:
2.52 dived by 2
Maximum carrying capacity
What is the distance from 0 to point g on the number line
Answer:
?
Step-by-step explanation:
is 15.19 less than 15.162?
Answer:
No it is more
Step-by-step explanation:
Answer:
no 15.19 is greater than 15.162
I need help with this
The bottom of a boat lles 7 feet below the surface of the water the boat stands 18 feet above the surface of the water.
Which expression can be used to find the difference between the two values?
07-18
18-(-7)
18 - 7
07+ (-18)
Answer:
18-(-7)
Step-by-step explanation:
Pls help!!!
If John and Peter share some money in the ratio 3:4, what fraction of the money does John receive?
Answer:
So 3/7 is the fraction of the money John received.
Step-by-step explanation:
3:4, so John is 3 and Peter is 4.
Now add these up for the denominator which is 3+4=7
and put Johns value over it, Johns value is 3.
So 3/7 is the fraction of the money John received.
50 points but take out the 0
Find the measure of angle x in the figure below:
60°
50°
110°
70°
Answer:
it should be 70
Step-by-step explanation:
What does "of" mean in a persent question
Answer:
existing or occurring now
The radius of a circle is 19cm find its area in terms of π
i giveeeeeeeeeeeeeeeee brainlilstttttt
Answer:
I think the answer is b or c
Answer:
It's the first one
Step-by-step explanation: give me brainlist LOL
Kara bought a chain originally marked $39.70. The
salesclerk told her she would get a 22% discount. How much
money did she save?
$8.73
$7.24
$30.97
$28.70
The volleyball coach wants to buy new warm-up suits for her team. The suits cost $20. The coach has $210. How many warm-up suits can she buy?
Answer:
100
Step-by-step explanation:
because 20×10=$200
Answer:
10 suit
Step-by-step explanation:
she can buy 10 suit
210 divide 20 is 10.5
but since half aren't counted
it just 10 suit
If line p has a slope of -1/2, what is the slope of a line ;
perpendicular to p? parallel to p?
Answer:
Parallel: -1/2
Perpendicular: 2
Step-by-step explanation:
The slope of a line parallel to another, always has the same slope as the line that it is parallel to.
The slope of a line perpendicular to another, always has the opposite reciprical to the line that it is perpendicular to.
A tank that is 30% full contains 651 gallons of water. How much water does the tank hold when it is full?
Question 1 options:
1,620 gallons
2,160 gallons
1,627.5 gallons
2,170 gallons
last one 2170
Answer:
651=30 percent
x=100 percent
x=( 100×651)/30=2170 gallons
Answer:
2,170 gallons
Step-by-step explanation:
First you can see that at 30% we have 651 gallons so you want to multiply it by three because we are trying to get to 100% after you multiply it by three we have found out how much it is filled at 90% which is 1953 so then you want to divide 651 by 3 because all we need is 10 more percent to make it to 100% and 1/3 of 30% is 10% and 10% of 651 is 217. Finally all you have to do is add 217 and 1953 and you get 2,170 gallons.
Hope this helps!
Airlines A and B each operate one flight per day between the cities of Hartford and Chicago; the daily passenger volume between the two cities is 350. Because the quality of service and departure times for both airlines are similar, we assume that passengersselect the flights with equal probability and independently of one another.
Required:
a. Let X denote the number of passengers on the flight operated by airline A. Describe the exact distribution of X; name it and identify the parameters.
b. If the plane for airline A carries 210 seats there is a positive probability that more than 210 passengers will turn up, in which case not all passengers can be accommodated. Estimate the probability of "overbooking"
c. Denote by n the minimum number of seats the aircraft should contain if it is desired that the probability of exceeding the seating capacity be less than 0.01. Find n
Answer:
X ~ (350, 0.5)
0.00009
Step-by-step explanation:
Given that:
Daily passenger volume = 350
Since both airlines A and B have equal probability ;
p = 0.5
n = 350
X ~ (n, p)
X ~ (350, 0.5)
B.)
Mean, m= np = 350 * 0.5 = 175
Standard deviation, s = sqrt(np(1-p)) = sqrt(350*0.5*0.5) = sqrt(87.5)
Obtaining standardized score, Z
Z = (x - m) / s
x = 210
Z = (210 - 175) / sqrt(87.5)
Z = 35 / sqrt(87.5)
Z = 3.74
P(Z > 3.74) = 0.00009 (Z probability calculator)