Answers
Answer:
==<Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(c^b) = (ac)^b
(a^b)(a^c) = a^(b+c)
__
1. 3^3 × 5^3 = (3×5)^3 = 15^3 . . . . equal
2. 3^5 × 3^3 = 3^(5+3) = 3^8 . . . . equal
3. 3^5 × 5^3 = 3^5 × (5^(5 -2) = (3^5 × 5^5) × 5^(-2)
= 15^5 × 5^-2 < 15^15 . . . . less than
_____
Additional comment
Your calculator can evaluate these expressions so you can see their relationships.
Related Questions
1. Kristina took out a bank loan for $60,000 that must be repaid with regular monthly payments of $1100. The bank charges her an interest rate of 3.0% compounded monthly a) How many payments will Kristina have to make to pay off the loan. N=? I= ?PV = ?PMT= ? FV=? P/Y = ?C/Y =? END BEGIN b) How much interest will Kristina Pay?
Answers
Answer:
See belowStep-by-step explanation:
Given:
Loan amount PV = $60000Interest rate r = 3% PATime t = x yearsNumber of compounds n = 12Monthly payment PMT = $1100FV is:
60000*(1 + (3/100)/12)^(12x) = 60000*(1.0025)^(12x)Which is same as total payment:
1100*12*xSolve the following by graphing:
60000*(1.0025)^(12x) = 1100*12*xSee attached
The solution is:
x = 5.333 = 5 1/3 years = 5 years 4 months = 64 monthsTotal payment:
FV = $70 395.95The amount of interest:
I = FV - PV = 70395.95 - 60000 = $10395.95Solve the following system of equations.
3x^2 + 4y^2 = 76
5x^2 - 3y^2 = -28
Solution(s):
Answers
Answer:
[see below]
Step-by-step explanation:
I graphed the system of equations.
When graphed, the two equations intercept 4 times.
(-2,4), (2,4), (-2, -4), and (2, -4) are the solutions to the system.
Hope this helps.
ax + b = c solve for x
Answers
c-b=ax
x=(c-b)/a
Please help I really need help
(40 points)
Match each theorem with its description.
1.
If two angles form a pair of vertical angles, then they are congruent.
2.
The sum of the measures of the interior angles of a triangle is 180°.
3.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent
4.
The midsegment of a triangle is parallel to the third side and its length is one-half the length of the third side.
5.
If two parallel lines are intersected by a transversal, then corresponding angles are congruent.
6.
If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.
7.
If two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent
8.
If two parallel lines are intersected by a transversal, then the same-side interior angles are supplementary.
Match
Triangle Sum Theorem
Alternate Exterior Angles Theorem
Alternate Interior Angles Theorem
Same-Side Interior Angles Theorem
Corresponding Angles Postulate
Isosceles Triangle Theorem
Vertical Angles Theorem
Triangle Midsegment Theorem
Answers
Answer: Did you get it or do you still need help (which ones do you need help with)
Step-by-step explanation:
the temperature of the fish tank must be atleast 68F but no more than 77F
Answers
Answer:
72 f
Step-by-step explanation:
Find the product (3a- 4a)^2
Answers
Solve the literal equation for the variable t:
Answers
Answer:
t=y÷x+3
Step-by-step explanation:
you have to isolate t
(I may have put the equation in the wrong order but I'm like 70% sure i got it)
Calculate the speed of a car that travels 50 km (kilometers) in 30 min (minutes). Question 1 options: 1. 6 km/min (kilometers per minute) 1. 6 miles/hour 1,500 km/min (kilometers per minute) 1,500 miles/hour.
Answers
The speed of this car is equal to 1.6 km/min.
Given the following data:
Distance = 50 kilometers.Time = 30 minutes.To calculate the speed of this car:
Speed can be defined as the distance travelled by an object per unit time and it is usually measured in meter per seconds (m/s). Also, speed has magnitude but no direction and as such it is a scalar quantity.
Mathematically, speed is given by the formula;
[tex]Speed = \frac{distance}{time}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Speed = \frac{50}{30}[/tex]
Speed = 1.6 km/min.
Read more: https://brainly.com/question/13102821
HELLO CAN SOME ONE WHO IS GOOD AT MATH ANSWER THIS PLEASE
Answers
Its the first equation, y < -1/3x +2
a. Four friends each bought a ticket and a bag of popcorn. How
much total money did they spend?
Answers
Answer:
TICKET = $8.50POPCORN =$5.25Total money did they spent :- $8.50 + $5.25 = $13.75Step-by-step explanation:
Hope this helps you !!for example :
ticket = $5popcorn = $3each person spends = $(5+3)
=$8
four people = 8 × 4 = $32
hope it helps...!!!
if l || m find the value of y
Answers
Santa’s reindeer can fly at a speed of 42,444,445.56 miles per hour. At that rate, how far can they travel in 3.5 hours?
Answers
Answer:
Answer: 148555559.46
Step-by-step explanation:
42,444,445.56 x 3 =127333336.68
42,444,445.56 divided by two is 21222222.78
127333336.68 + 21222222.78 = 148555559.46
Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables
Answers
Answer:
x=-23
Step-by-step explanation:
Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.
Therefore, x must be equal to -23.
Which relation is a function?
{(4, 2), (3, 3), (2, 4), (3, 2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
Answers
Answer: Choice D)
{(1, 4), (2, 3), (3, 2), (4, 1)}
========================================================
Explanation:
Let's go through the answer choices one at a time to see what is a function and what isn't.
A) This is not a function because x = 3 repeats itself. In other words, the input x = 3 leads to multiple outputs (y = 3 and y = 2 simultaneously). A function is only possible if any x input leads to exactly one y output. B) This isn't a function either for similar reasoning as choice A. This time x = 2 repeats itself.C) Same idea as the others. We don't have a function because x = 1 repeats itself.D) Each x input is only listed once, so we don't have any x repeats. Therefore, relation D is a function.In short, choices A,B,C are not functions because they have a repeated x coordinate; in contrast, choice D doesn't have any repeated x values so it is a function.
Side note: The y values are allowed to repeat themselves, but the function won't be one-to-one.
Evaluate the expression
-11^3
The value of the expression is
Answers
Answer: - 1331
Step-by-step explanation:
(-11)(-11)(-11)
(121)(-11)
- 1331
the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?
Answers
Answer: do 2/3 of 62, or 2/3 x 62
convert 2/3 to a decimal (0.666)
0.666x62 = 41.292
Step-by-step explanation:
A jug contains 600 milliliters (mL) of
water. Water is poured out of the jug at a
constant rate of 40 mL per second. The
amount of water, y, left in the jug after x
seconds is y= 600 – 40x.
-
How much water is left in the jug after 6
seconds?
Answers
600-40x6=
40x6=240
600-240=360
Answer: 360 (mL) Remain in the jug after 6 seconds.
Hope This Helps.
the difference between 3 1/2 and 1 4/5 is
Answers
Answer:
1 7/10
Step-by-step explanation:
3 1/2 - 1 4/5 = ?
3 5/10 - 1 8/10 = ?
2 5/10 - 8/10 = ?
1 15/10 - 8/10 = 1 7/10
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)
Answers
Answer: Perpendicular
Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.
Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
What is the remainder when (3x3 â€"" 2x2 4x â€"" 3) is divided by (x2 3x 3)?.
Answers
The remainder of the equation is [tex]\rm 28x+30[/tex].
Given that,
When the equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
We have to find,
The remainder of the equation?
According to the question,
The equation [tex]\rm 3x^3-2x^2+4x-3[/tex] is divided by [tex]\rm x^2+3x+3[/tex].
On the division of the polynomial, the remainder is,
[tex]\dfrac{\rm 3x^3-2x^2+4x-3}{\rm x^2+3x+3}[/tex]
Factorize the equation to convert this into the simplest form,
[tex]\rm 3x^3-2x^2+4x-3\\\\3x^3-11x^2+9x^2+9x+28x-33x-33+30\\\\Taking \ the \ common \ terms \ and \ simplify\ the\ equation\\\\3x^3+9x^2+9x+11x^2+33x-33+28x+30\\\\3x(x^2+3x+3) - 11(x^2+3x+3) + 28x+30\\\\(3x+11) (x^2+3x+3) +28x +30[/tex]
Now, the equation can be written as,
[tex]\rm = \dfrac{(3x+11) (x^2+3x+3) +28x +30}{ x^2+3x+3}\\\\= \dfrac{(3x+11) (x^2+3x+3) }{ x^2+3x+3} + \dfrac{28x +30}{ x^2+3x+3}\\\\= (3x+11) + \dfrac{28x +30}{ x^2+3x+3}\\\\[/tex]
The relation between the divisor, remainder, and quotient is,
[tex]\rm = Quotient + \dfrac{Remainder}{Divisor}[/tex]
On comparing with the equation,
The remainder becomes 28x +30.
Hence, The required remainder of the equation is [tex]\rm 28x+30[/tex].
For more details refer to the link given below.
https://brainly.com/question/25880057
How many whole groups of 2 can we make with 7?
Answers
Answer:
We can make 3 whole groups of 2.
Hope that helps. x
Step-by-step explanation:
2, 4, 6, 8
The closest number near to 7 is 6 so we do 6 divided by 2 which equals 3.
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Answers
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
The 5th term in a geometric sequence is 162. The 2nd term is 6, The sum of the 1st 5 terms is.
Answers
Answer:
Step-by-step explanation:
t2 = a*r
t2 = 6
t5 = a*r^4
t5 = 162
162/6 = ar^4 / ar
r^3 = 27
r = 3
6 = a*3
2 = a
Sum = a(r^n - 1)
=======
r - 1
n = 5
a = 2
r = 3
Sum = 2(3^5 - 1)
=======
2
Sum = 242
Do you understand Geometry so far? What can help you improve learning Geometry?
Teyt style
Answers
Answer:
My graph. I can practice that can help.
priya found x=3 and x=-1 as solutions to 3x^2-6x-9=0. Is she correct sow how you know
Answers
Answer:
Step-by-step explanation:
The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.
Answers
The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.
The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.Reasons:
The table is presented as follows;
[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]
Based on the given table, we have that the programs are categorized based on the intended audience.
Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.
Therefore, the correct option is;
Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
Learn more about relative frequency table here:
https://brainly.com/question/8470699
https://brainly.com/question/3712144
Answer:
A
Step-by-step explanation:
its a
Need help with the answer it’s confusing
Answers
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?
Answers
Answer:
30 hours of use by Washington family
35 hours of use by Choi family
Step-by-step explanation:
Algún jefazo:)))))))))))
Answers
Answer:
Step-by-step explanation:
pls help me with this:((
Answers
Answer:
9. A. One - to - One Correspondence
10. D. None of the above
9.) one to one correspondence
10.)one to many correspondence
Step-by-step explanation:
in 9 it shows that 1-4 are connected to different number
in 10 it shows that a is connected to 2 different numbers