simplify: x0 y-3 / x2 y-1
[tex] \frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} } [/tex]
Step by Step Explanation:
Evaluate the power: Any non-zero expression raised to the power of 0 equals 1Simplify: Simplify the expressionCalculate the product: Any expression multiplied by 1 remains the same. ☆彡Hanna#CarryOnLearning
List all the factors of 9. The factors of 9, from least to greatest, are and
Answer:
1 9 3
Step-by-step explanation:
i think only this much
Answer:
1,3 and 9
As Nine is divisible by 1,3 and 9
If f (x) = -2x² + x – 5, what is f (3)
Answer:
f(3)=-2(3)^2+3-5=16
Step-by-step explanation:
You just plug 3 in for x
Answer:
[tex]f(x) = - 2 {x}^{2} + x - 5 \\ f(3) = - 2 {(3)}^{2} + 3 - 5 \\ f(3) = - 20[/tex]
Find the remainder when x³ - ax² + 6x - a is divided by x - a
Answer:
Solution is on pic hope it helps youplease help with this
Step-by-step explanation:
f(x) =x-1 and when we put 0 from x our answer is -1 and put 1 answer is 0 ........ for this f(x) must be x-1. g(x)= f(x)+ 4
If Shelly types 238 words in seven minutes, then how many words will she type in 17 minutes? Let the relationship between the number of words and time be directly proportional.
please help!
simplify -2 minus square root of 15 over 2
Under an insurance policy, a maximum of five claims may be filed per year by a policyholder. Let Pn be the probability that a policyholder files n claims during a given year, where n 0,1,2,3,4,5. An actuary makes the following observations:
i) Pn≥ 2pn+1 for n= 0, 1,2, 3,4
ii) The difference between pn and pn+1 is the same for n 0,1,2, 3,4
iii) Exactly 40% of policyholders file fewer than two claims during a given year Calculate the probability that a random policyholder will file more than three claims during a given year.
A) 0.14
B) 0.16
c) 0.27
D) 0.29
E) 0.33
Please help. Confused on this questions.
Answer:
Step-by-step explanation:
The key here is to find out how long it will take Justin to triple his money, and then use that number of years in Hailey's equation. If Justin starts with $940, he will triple his money when he has $2820 (940*3). We need to find out how long it takes him to do this using the equation
[tex]A(t)=P(1+\frac{r}{n})^{nt}[/tex]where A(t) is the tripled amount of money, P is the initial investment, r is the interest rate in decimal form, n is the number of compoundings done per year, and t is the time in years. Filling in and solving for t:
[tex]2820=940(1+\frac{.07625}{12})^{12t[/tex] which simplifies a bit to
[tex]2820=940(1+.0063541667)^{12t[/tex] and a bit more to
[tex]2820=940(1.0063541667)^{12t[/tex] Begin to solve for t by dividing both sides by 940 to get:
[tex]3=(1.0063541667)^{12t[/tex] and then take the natural log of both sides to get the t alone eventually. Taking the natural log on the right side enables us to move the 12t down in front. So doing all of that at the same time:
[tex]ln3=12tln1.0063541667[/tex] and divide both sides by ln(1.0063541667):
[tex]173.4450855=12t[/tex] then finally divide both sides by 12 to get
t = 14.5 years. Now we use that number of years to find out how much Hailey will have.
[tex]A(t)=940(1+\frac{.0825}{4})^{(4)(14.5)}[/tex] which simplifies a bit to
[tex]A(t)=940(1+.020625)^{58[/tex] and a bit more to
[tex]A(t)=940(1.020625)^{58[/tex] and
A(t) = 940(3.26768151) so in 14.5 years, Hailey will have
A(t) = $3071.62
solve the system of equations y=3x y=x^2-18
Answer:
Point Form:
(6,18), (-3,-9)
Equation Form:
x=6, y=18
x=-3, y=-9
Step-by-step explanation:
Solve for the first variable in the first equation, then substitute the result into the other equation.
Answer:
x=-3 , x=6
so
y=-9 or y=18
In analyzing a line graph, why is slope important?
a The slope should be negative,
C. The spacing for each axis must be chosen
so that the line reflects a positive slope,
b. The slope of the line reflects the actual d. The slope of a line is not important in
trend of the data,
analyzing a line graph,
Please select the best answer from the choices provided
B
O O O O
С
D
Mark this and retum
Save and Exit
Next
Submit
Answer:
The slope of the line reflects the actual d.
Here is the problem
Answer:
5 =x
Step-by-step explanation:
The top and the bottom are the same length
17 = 3x+2
Subtract 2 from each side
17-2 = 3x+2-2
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
Answer:
x = 5
Step-by-step explanation:
3x + 2 = 17
3x + 2 - 2 = 17 - 2
3x = 15
3x ÷ 3 = 15 ÷ 3
x = 5
Evaluate this piecewise function at x = -8 and x = 4.
Answer:
option D :
f(-8) = -2 ; f(4) = 3
Step-by-step explanation:
f(-8) = ³√-8 = -2
f(4) = 3 (the constant function)
Ashley went to a baseball game the game started at 11:37 am and it was 3 hours 50 minutes long when did the game end
Answer: The game will end at 3:27 pm.
Step-by-step explanation: 50 minutes from 11:37 am is 12:27 pm, and 3 hours from 12:27 pm is 3:27 pm.
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math. No guessing please.
Julio takes a multivitamin and a calcium vitamin every day.One at a time,he randomly pulled 8 cherry, 5 grape,and 7 orange gummy vitamins out of the multivitamin container and put them back each time.He also randomly pulled 11 berry,3 lemon,and 6 pineapple gummy vitamins out of the calcium container and put them back each time.
Based on this information, what is the probability that Julio will select an orange multivitamin and a lemon calcium vitamin the next time he takes his vitamins?
Enter your answer in the box below as a fraction.
======================================================
Work Shown:
A = probability of pulling out a orange multivitamin
A = (7 orange)/(8 cherry + 5 grape + 7 orange)
A = 7/(8+5+7)
A = 7/20
B = probability of pulling out a lemon calcium vitamin
B = (3 lemon)/(11 berry + 3 lemon + 6 pineapple)
B = 3/(11+3+6)
B = 3/20
A*B = probability both events A and B occur simultaneously
A*B = (7/20)*(3/20)
A*B = (7*3)/(20*20)
A*B = 21/400
3. Calculate the following- show all working out
a)7/8 of R60,00
Answer:
5250
Step-by-step explanation:
a. 7/8 of 60,00
a [tex]\frac{7}{8} * 60,00[/tex]
[tex]\frac{7*60,00}{8}[/tex]
[tex]\frac{42,000}{8}[/tex]
[tex]5250[/tex]
Kim is 3 years older than marley. The sum of marleys age and twice Kims age is 63. Which equations can be used to determine marleys age?
Step-by-step explanation:
the answer is in the above image
PLEASE HELP, I HAVE ONE WEEK OF SCHOOL!
9514 1404 393
Answer:
2. (b) 6 feet by 18 feet
3. -5, -1
Step-by-step explanation:
2. Perhaps the easiest way to answer this is to check to see what the areas are of the offered choices:
a) 7·19 = 133 . . . . numbers are odd, so the answer is odd, incorrect
b) 6·18 = 108 . . . . correct choice
c) 12·24 = 288
d) 5·17 = 85 . . . . again an odd number
__
If you were to solve this by factoring, you would be looking for factors of 108 that have a difference of 12.
108 = 1·108 = 2·54 = 3·36 = 4·27 = 6·18 = 9·12
The differences are 107, 52, 33, 23, 12, 3. The dimensions you want are 6 and 18 feet.
_____
3. Completing the square is easier if the quadratic has a leading coefficient of 1. Here, all of the coefficients are divisible by 2, so we can simplify this to ...
x^2 +6x = -5 . . . . . . divide both sides by 2
Now, we complete the square by adding the square of half the linear term coefficient.
x^2 +6x +9 = 4 . . . . add (6/2)^2 = 9 to both sides
(x +3)^2 = 4 . . . . . write as a square
x +3 = ±2 . . . . . . . take the square root
x = -3 ±2 = -5, -1 . . . . add -3 to both sides
The solutions are -5 and -1.
Prove that the following formulas are constants by two methods (set table and equivalent transformations) :
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
What is the factored form of y=-2x^2-8x+0
Answer:
(2x-4()(x-2)
Step-by-step explanation:
this is how it looks when factorised
Answer:
y=-2x^2-8x
you can use a factor form helper and from that it can show you examples on how to solve it
What are 3 attributes of a Square based pyramid
Answer:
It has 5 Faces.
The 4 Side Faces are Triangles.
The Base is a Square.
It has 5 Vertices (corner points)
It has 8 Edges.
Step-by-step explanation:
btw you can choose 3
PLEASE HELP!
WILL MARK BRAINLIEST!
Find the measure of the indicated angle to the nearest degree.
Please provide an explanation, I’m trying to learn.
Answer:
B =53.15010235
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan B = 20 /15
Take the inverse tan of each side
tan ^ -1 ( tan B) = tan ^-1( 20/15)
B =53.15010235
Please solve this..you have to find x
Answer:
x=41/4
Step-by-step explanation:
According to the Secant Theorem, a(a+b)=c(c+d)
Therefore, 3(3+4x+12)=2(2+8x), 12x+45=16x+4, x=41/4
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
Martin puts two bowls of fruits out for his friends.The bowl of grapes has 9 green grapes and 16 red grapes.The bowl of tangerines has 7 seeded and 3 seedless tangerines.
Martin's friend chooses a random grape and a random tangerine.What is the probability that she chooses a green grape and a seedless tangerine?
Enter the answer in the box below as a fraction.
[tex] \frac{?}{?} [/tex]
Answer:
27/250
Step-by-step explanation:
Green grape is 9/25
seedless is 3/10
Since it’s a compound probability you multiple them to get 27/250
Answer:
27/250
Step-by-step explanation:
PLEASE HELP!!
WILL MARK BRAINLIEST!
What is the measure of arc AB?
Answer:
arc AB = 45°
Step-by-step explanation:
The central angle ABC is equal to the measure of the arc that subtends it, so
AB = ∠ ABC = 45°
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 3x - 10 = 0
Answer:
C and E
Step-by-step explanation:
Factor it so you get
(x-2)(x+5)=0
Then find x
x=-5
x=2
5 and 2 are the solutions of quadratic equation which answer are option C and E.
What is quadratic equation?The quadratic equation is defined as an equation conataining the highest power of a variable is two.
The quadratic equation
x² + 3x - 10 = 0
x² + 5x - 2x - 10 = 0
x(x+5)-2(x+5)
(x-2)(x+5)=0
x = -5, x = 2
Hence, 5 and 2 are the solutions of quadratic equation.
Learn more about quadratic equation here:
brainly.com/question/14083225
#SPJ2
If the air temperature at ground level is 30°F, the air temperature x miles high is given by T(x) = 30 - 19x. Determine the altitudes at which the air temperature is from 11°F to 1.5°F.
Answer:
21
Step-by-step explanation:
what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or
Can someone help me with 8,9 ??!!
Answer:
15 / 2437/52Step-by-step explanation:
8 .) Probability of students has no pets in senior = No. of outcomes favourable / Total no.of outcome
= 15 / 24
9.) Probability of students has pets in junior = No.of outcomes favourable / Total no. of outcomes
= 37/52
a cylinder has slant length of 26 and radius of 10 what is the volume
Answer:
8168.14
Step-by-step explanation:
The answer is
V≈8168.14
hope this helps
Which of the following statements is true when regarding creating frequency tables for the following observationsa. ?
a. The sum of the frequencies will be equal to the total number of data points.
b. To calculate the number of classes it is best to divide the average number by 2.
c. To find the number of classes, you should split the data into two main classes first.
d. The lower limit will be 0 in this example.