Answer:
[tex](-\infty,0)\cup (0,5)[/tex].
Step-by-step explanation:
Note: In the given options it should be negative infinity instead of -0 because -0 does not make any sense.
It is given that cube of a number is less than five times the square of the number.
Let the unknown number be x.
[tex]x^3<5x^2[/tex]
[tex]x^3-5x^2<0[/tex]
[tex]x^2(x-5)<0[/tex]
This is possible when both factors [tex]x^2\text{ and }(x-5)[/tex] have different sign.
We know that [tex]x^2[/tex] is always greater than or equal to 0. So,
[tex]x-5<0[/tex]
[tex]x<5[/tex]
[tex]x\in (-\infty,0)\cup (0,5)[/tex]
Because [tex]x^2(x-5)<0[/tex] is not true for x=0, so, 0 is not included in the solution set.
Therefore, the solution set is [tex](-\infty,0)\cup (0,5)[/tex].
Answer:
C
Step-by-step explanation:
Phyllis invested 51000 dollars, a portion earning a simple interest rate of 4 percent per year and the rest earning a rate of 7 percent per year. After one year the total interest earned on these investments was 2370 dollars. How much money did she invest at each rate?
Answer:
Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
Step-by-step explanation:
From the information provided, you can write the following equations:
x+y=51000 (1)
0.04x+0.07y=2370 (2), where
x is the portion earning a simple interest rate of 4 percent per year
y is the portion earning a simple interest rate of 7 percent per year
First, you can isolate x in (1):
x=51000-y (3)
Now, you can replace (3) in (2) and solve for y:
0.04(51000-y)+0.07y=2370
2040-0.04y+0.07y=2370
0.03y=330
y=330/0.03
y=11000
Then, you can replace the value of y in (3) to find the value of x:
x=51000-11000
x=40000
According to this, the answer is that Phyllis invested $11,000 at a simple interest rate of 7 percent per year and $40,000 at a simple interest rate of 4 percent per year.
solve 9x - y = 45 for y
Answer:
y=9x-45
Step-by-step explanation:
9x-y=45
-y=45-9x
y=9x-45
Given f(x)
5x + 1
2 , solve for f-1(8).
The equation d=m/v can be used to calculate the den
yes you are right, density formula is :
density = mass ÷ vol
Which of the following options have the same value as 65% of 20?
B
...........................
Answer:
It is A and D
Step-by-step explanation:
65% of 20 is also
.65 * 20 or
65/100 * 20
I did Khan Academy too :)
Item 4
Solve the equation.
23h−13h+11=8
h=
Celine was working on the following problem and can't seem to get the problem right. Choose the step where she made a mistake.
(-2×2-6) ÷2
Answer:
- 5
Step-by-step explanation:
Given
(- 2 × 2 - 6) ÷ 2
Evaluate the parenthesis performing the multiplication before subtracting.
= (- 4 - 6) ÷ 2
= - 10 ÷ 2
= - 5
If a=0 and b≠0, where will the graph of the complex number a+bi always lie?
Answer:
On the horizontal axis
Step-by-step explanation:
The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis
When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis
The complex plane concept facilitates the description of complex numbers geometrically.
3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.
Step-by-step explanation:
Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.
It means,
x+x+1+x+2=114
3x+3=114
3(x+1)=114
x+1=38
x=37
So, first side is 37 cm
Second side is 37+1=38 m
Third side is 37+2=39 m
Hence, this is the required solution.
Car Mileage for a
Hybrid Car
What is the value of y when the value of x is 1?
240 kg
180
Number of Miles
120
60
2
2.
3
Number of Gallons
Answer:
60
Step-by-step explanation:
Answer: 60
Step-by-step explanation
I took the test (:
x^2-15x+26 factoring need help
Answer:
x^2 - 2x - 13x + 26 = (x-2)(x-13)
Step-by-step explanation:
x^2 - 15x + 26 = x^2 - 2x - 13x + 26 = (x^2 - 2x) - (13x - 26)
= x(x-2) - 13(x-2) = (x-2)(x-13)
HELLPPPPPPPPP WITH THE TOP THREE PLS
Answer:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞≤x≤∞
Range: -∞≤y≤∞
11) Domain: -∞≤x≤∞
Range: y≥-2
13) Domain: -∞≤x≤∞
Range: -2≤y≤4
Step-by-step explanation:
9) Domain: 0≤x≤6
Range: -3≤y≤3
10) Domain: -∞<x<∞
Range: -∞<y<∞
11) Domain: -∞<x<∞
Range: y≥-2
13) I think you need to look at this one again. It looks like:
Domain: -∞<x<∞
Range: -2≤y≤4
Ms. Anderson made a New year's resolution to go on a diet and exercise more. On January 1st , she weighed 160 pounds. Two months later, she had dropped to 136 pounds. What was the percent of decrease in her weight?
Answer: 15%
Step-by-step explanation:
From the question, we are informed that Mrs Anderson weighed 160 pounds earlier and two months later, she had dropped to 136 pounds. To. Calculate the percent of decrease in her weight goes thus:
We've to find her decrease in weight first. This will be:
= 160 pounds - 136 pounds
= 24 pounds
Percentage decrease will now be:
= Change in weight/Original weight × 100
= 24/160 × 100
= 0.15 × 100
= 15%
The percent of decrease in her weight is 15%.
check for extraneous solutions: |2x + 5| = 3x + 4
it would be 1.............
solve for d, s = 2d / t
s = 2d / t
Multiply both sides by t
st = 2d
Divide both sides by 2
st / 2 = d
look at image. reflection across the x-axis
Answer:
S 1,-1 R 1,-3 :)
Step-by-step explanation:
Simplify: | 5\6 - 7\2 | - | 5\3 |
Answer:53 over 30
Step-by-step explanation:
A 9-pack of toaster pastries costs $3.60. What is the unit price?
per pastry
Answer:.40 cents
Step-by-step explanation: divide the total cost by the amount of items you have.
plz answer i will mark as brainliest follow u and give you thx..but in return i need full proper answer
two dice are thrown simultaneously. list all the possible outcomes and the probability of getting same number on both dice (doublets); the sum of prime number
Solve x^2=64. What property did you use?
Answer:
x = ± 8 using the square root property
Square root both sides to get x = ± 8.
Solve the equation 1/2(2x+2)-1/4(3x-1)=15
Answer:
it is algebraic expression
Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.
Answer:
Answer the questions to determine a conditional probability.
How many customers are on payment plan B?
23 customers
How many of the customers on plan B text?
13 customers
What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.
13/23
Step-by-step explanation:
edg 2020
The probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The customers are on payment plan B = 23 customers
The customers on plan B text = 13 customers
The probability that a randomly selected customer who is on plan B uses the phone most often to text
= 13/23
Learn more about probability here;
https://brainly.com/question/11234923
m + 4 = -12
and
v - 15 = -27
Answer:The AR-15 came first, in 1947; the M16 a decade later. They have the same magazine capacity: 30 rounds. The former is heavier, with a shorter range and slower rate of fire, but these are subtle differences. Overall, the weapons are pretty simila
Step-by-step explanation:M4 carbine
Carbine, Caliber 5.56 mm, M4
Manufacturer See Manufacturers below
Unit cost $700 (avg. cost)m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Produced 1991–present
Variants M4A1 Mark 18 Mod 0 CQBR
Answer:
m= -16
v= -12
Step-by-step explanation:
m + 4 = -12
m= -4-12
m=-16
v - 15 = -27
v=-27+15
v= -12
Harry parks his toy cars. he has less than 100 cars. When he parks them in groups of three, there will be two left, when he parks them in groups of four, there will be two left and when he parks them in groups of 5, there will be two left. How many will be left if he parks them in groups of seven? What method do you use here?
Answer:
Step-by-step explanation:
Examples: 4.121121112... For each square below, is the side length rational or irrational? A Blom A = 89 cm 1. What is the formula for the area of a...
Find sin 0.
15
8
0
please help! very important
Answer:
D
Step-by-step explanation:
In the phrase SOH - CAH - TOA, the SOH stands for "Sine = opposite / hypotenuse", hence, the answer would be 15 / 8.
Answer: for me the answer was 15/17
Step-by-step explanation:
A dripping tap loses 10mL of water every 45 seconds. How much water
will be lost in 6 hours?
Answer:
4800 ml
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
Answer:
4.8 L
Step-by-step explanation:
6 hours = 6*60*60 seconds = 21600 seconds
10 mL - 45 seconds
x mL - 21600 seconds
x = (21600*10)/45=4800 mL
4800 mL = 4.8 L
A carpenter and his assistant can do a piece of work in 3 days. If the carpenter himself could do thework alone in 5 days, how long would the assistant take to do the work alone?
Answer:
7 1/2 days
Step-by-step explanation:
The carpenter can do 1/5 of the work in 1 day. The assistant, who takes 'a' days to do the work, can do 1/a of the work in 1 day. Together, they can do 1/3 of the work in 1 day:
1/5 + 1/a = 1/3
1/a = 1/3 -1/5 = 2/15
a = 1/(2/15) = 15/2 = 7.5
The assistant takes 7.5 days to do the work alone.
36. GEOMETRY Write an algebraic expression to
represent the area of the triangle. Then evaluate it to
find the area when h = 12 inches.
Answer:
108 in²
Step-by-step explanation:
Area of a triangle is given as ½*base*height
The base of the given triangle = h + 6
height = h
Algebraic expression for its area = [tex] \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} [/tex]
Evaluate the area if h is given as 12 inches.
Plug in the value of h into the algebraic expression:
[tex] \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} [/tex]
[tex] = \frac{144 + 72}{2} [/tex]
[tex] = \frac{216}{2} = 108 in^2 [/tex]
which expression has the same value as 3y+2x
a. 3y+(-2x)
b.-2+3y
c.2x-(-3y)
d.-3y-2x
Answer:
Hey there!!
Your required answer is option C.
The reason is;
In option A when you simplify the signs, you will get it as 3y-2x.In option B it's totally not matching. In option C, when you simplify the signs, you will get as 2x + 3y {as( - )× (- )= (+)}.Option D is not matching.Therefore, the possible answer is option D.
Hope it helps...
Reposted this Bc idk if ppl saw it
Answer:
Hey there!
4 2/3 can be written as 14/3
The ones that represent a rational number are the fourth and fifth options.
Let me know if this helps :)