a^p . a^q =
a) (pq)^a
b) a^(p-q)
c) a^(p+q)
d)a^(pq)
Answer:
a^( p + q )
Step-by-step explanation:
a^p . a^q = a^( p + q )
Note : -
This is actually a formula / identity.
Haroldo, Xerxes, Regina, Shaindel, Murray, Norah, Stav, Zeke, and Georgia are
invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first AND Regina arrives last?
Answer in decimal form. Round to 3 decimal places as needed.
And this problem, we're trying to figure out the probability that Xerxes arrives first and Regina arrives last. Now, the first thing to note is that there are nine people. So if we list off nine different spaces, there's nine spaces and now the order in which they arrive could be any order. So for the first spot there are nine different ways that someone can show up, Anyone can show up first and then once someone has shown up first, the person who arrives second, there are eight different ways to choose that person. Similarly, the person who arrives third, there are seven people remaining, so there's seven ways to choose that and so on. And so there are actually nine factorial ways that the people can arrive to the party. Now if xerxes needs to be in the first spot and Regina needs to be in the last spot than in these remaining seven spaces, we can put any people, so there can be any ordering between xerxes and Regina. So there is seven factorial ways to order the people between xerxes and Regina. So the probability that we end up with is seven factorial divided by nine factorial. So that is seven factorial. And remember that nine factorial can be written as nine times eight times seven factorial. The seven factorial are going to cancel. We get 1/7 times eight which is equal 1/72 which is equal to approximately zero point 014 and that's it
[tex]9 1/2 - 3 9/16[/tex]
Answer:
43.0625
Step-by-step explanation:
[tex] \frac{91}{2} - \frac{39}{16} [/tex][tex] \frac{728 - 39}{16} [/tex][tex] \frac{689}{16} [/tex][tex]43 \frac{1}{16} [/tex][tex]43.0625[/tex]rearrage x=3g+2 to make g the subject
Answer:
[tex]g=\frac{x-2}{3}[/tex]
Step-by-step explanation:
[tex]x=3g+2\\\\x-2=3g+2-2\\\\x-2=3g\\\\\frac{x-2}{3}=\frac{3g}{3}\\\\\frac{x-2}{3}=g[/tex]
Solve the system of linear equations by graphing. 4x-4y=20 y=-5
Answer:
4x-4y=20 divide by 4 to get
x-y=5, now substitute -5 for y
x-(-5) = 5
x+5 = 5
x = 0
or you could immediately notice that by letting y=-5
that
4x +20 = 20 and
4x = 0
x = 0
x-y=5 is the same as
y= x-5 which graphically has slope = 1 with y intercept y=-5
x-intercept is x=5. Plot those two intercepts or points (0,-5) and (5,0) connect them with a straight line. It has slope = 1 or a 45 degree angle with the horizontal.
Step-by-step explanation:
I’m gonna lose the New York and take a plane to Lisbon. When Amanda left the house it was -8°. When the plane landed in the spine Amanda realized it was 20° hotter! What was the temperature when Amanda landed Lisbon?
Answer:
12
Step-by-step explanation:
Given:
-8
+20°
Solution:
-8+20 = 12
Therefore the answer is 12
What are the slope and intercept of this function?
Answer:
C is the correct answer
Step-by-step explanation:
slope = Δy / Δx = (7 - 4) / (8 - (-4)) = 3/12 = 1/4
y intercept occurs where x = 0 so (0, 5) from the chart
Out of 460 students 60% have pets Identify the values of a
Step-by-step explanation:
= 460 × 60%
= 460 × 60/100
= 460 × 3/5
= 92 × 3
= 276
(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f
(i) concave up?
(ii) concave down?
[Verify your answer by MATHEMATICA and attach the printout of the commands and output]
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
Ashley runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 mins?
Answer:
5.6 miles
Step-by-step explanation:
7 miles every 80 minutes
7/80
at the same rate we need to find it for 64 minutes
7/80=x/64
x=7*6/80
x=5.6 miles
What decimals are equal to 1.5^3
Answer:
d and e
Step-by-step explanation:
I hope this helps!!!!
Find the value or expression for 0.
1. sin(55) = cos( )
2.sin( )=cos(28)
3. cos(y) = sin( - )
1.
sin55 = cos35 = 0.8192
sin(55) = cos( )
Since sin and cos are complementary,
sinθ = cos(90 - θ)
Since θ = 55
sin55 = cos(90 - 55)
sin55 = cos35
So, sin55 = cos35 = 0.8192
2.
sin62 = cos28 = 0.8829
sin() = cos(28 )
Since sin and cos are complementary,
sin(90 - θ) = cosθ
Since θ = 28
sin(90 - 28) = cos28
sin62 = cos28
So, sin62 = cos28 = 0.8829
3.
cos0 = sin90 = 1
cos(y) = sin(-)
Since sin and cos are complementary,
cosy = sin(90 - y)
Since y = 0
cos0 = sin(90 - 0)
cos0 = sin90 = 1
So, cos0 = sin90 = 1
Learn more about comlementary angles here:
https://brainly.com/question/13994562
In AHIJ, j = 33 cm, ZH=148º and ZI=21°. Find the length of i, to the nearest
centimeter
Answer
The length of i to the nearest centimeter is 62 cm
Step-by-step explanation:
Please find the image uploaded for diagram and solution.
5. Mr. Wella tells his class of 24 that when
They have completed the assignment, they
may play online math games. Al the end of
class, 40% of the class is playing online math
games. Approximately how many students still
need to complete their assignment?
Answer:
Step-by-step explanation:
24(1 - 0.40) = 24(0.60) = 14.4 14 students
Calculate the simple interest rate. (Round your answer to one decimal place.)
P= $1800, I = $87.30, t = 6 months
EX %
Answer:9.7%/year
R = 9.7%/year
Formula:r = I / Pt
Step-by-step explanation:Mark me as Brainlieist
Calculation:
Solving our equation
r = 87.3 / (1800 × 0.5) = 0.097
r = 0.097
converting r decimal to a percentage
R = 0.097 × 100 = 9.7%/year
The interest rate required to
accumulate simple interest of $87.30
from a principal of $1,800.00
over 0.5 years, is 9.7% per year.
Estimate. 1 /5 x 26 =
Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
m = 4 Point = (1/3, 1)
m = 1/3 Point = (1,-4)
m = 1/3 Point = (1, 4)
m = 1/3 Point = (-1, 4)
Answer:
m=1/3 point = (-1, 4) this is the answer
What is the area of this triangle?
Answer:
b
Step-by-step explanation:
it is b because it is pointing at that angle
Given the inequalities y < 2x+2 and y>-3x+2 graphed on the same
coordinate grid, which of the following coordinates gives a true statement?
O A. (-2,-2)
O B. (4,0)
O C. (0.4)
O D. None of the above
None of the above
The solution is (0,2)
Graph attached
What type of correlation does the data set display?
х
у
2.
13
5 11
7 10
9
8
11
2
A. Negative
B. No correlation
C. Positive
B.
Examples:Data sets are often depicted as scatter plot graphs. This is because the purpose of these scatter plots is to check for a linear correlation between the two variables. The two variables are usually denoted as independent and dependent variables. independent variable: x, horizontal axis.What's Now?When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).If you need for answers of What type of correlation does the data set display? Just like this answers for me Explantation!!
9. The expression -8x? – 56x written in fully factored form is
a. -8x(x + 7)
c. -8(x + 7x)
b. 4x(2x + 14)
d. -8(x² – 7x)
Answer:
the answer is C
Step-by-step explanation:
hope this helps!
7.
Write an equation for the translation of y = |x|.
5.5 units right
A. y = |x| + 5.5
B. y = |x – 5.5|
C. y = |x + 5.5|
D. y = |x| – 5.5
Answer:
D. y = |x| – 5.5
Step-by-step explanation:
HELP ME OUT PLEASE!!
How would you describe the relationship between miles driven per week and car age, as shown in the scatterplot below?
Choose the ONE answer that accurately describes this data.
select 1 correct answer(s)
positive
linear
negative
Answer:
Negative relationship
Step-by-step explanation:
The dots in the scatter plot are going down.
Hope this helps!! :)
Answer:
negative aka c
Step-by-step explanation:
A sightseeing company charges $16.75 for a scooter rental, plus an additional $5.50 per hour that the scooter is rented. Partial hour
rentals are allowed. The total charge for a certain rental is $30.50.
How long was the scooter rented?
Enter your answer in the box.
Answer:
2.5 hours
Step-by-step explanation:
The cost of the rental - the scooter rental = 30.50 - 16.75, which equals 13.75.
Divide the additional per hour by that number.
13.75 / 5.5 = 2.5
Therefore, the scooter was rented for 2.5 hours.
Answer:
2.5
Step-by-step explanation:
13.75 / 5.5 = 2.5
Help me plz well mark brainliest if correct!
Answer:
15
Step-by-step explanation:
To subtract 2 1/2 - 1 3/5, first, you need a common denominator for the fractions, which is 10.
The subtraction becomes
2 5/10 - 1 6/10
Now you need to subtract 1 6/10 from 2 5/10.
Since the fraction part involves the subtraction 5/10 - 6/10, we need to borrow. You must change 2 5/10 to a mixed numeral with a larger numerator than 5, so you can subtract 6/210 from it.
Start with 2 5/10.
Borrow 1 from the 2. The 1 you borrow from 2 will be added to 5/10.
You think of the borrowed 1 as 10/10. Now you add 10/10 to 5/10.
2 5/10 becomes 1 15/10. Now that the fraction has a numerator grater than 6, you can do the subtraction.
2 5/10 - 1 6/10 =
= 1 15/10 - 1 6/10
Answer: 15
Answer:
20/10
Step-by-step explanation:
Which number expresses 6.72 as a fraction in simplest from?
Plz help I need help
Answer:
The FitnessGram™ Pacer Test
Step-by-step explanation:
The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.
The 20 meter pacer test will begin in 30 seconds. Line up at the start.
The running speed starts slowly, but gets faster each minute after you hear this signal.
A single lap should be completed each time you hear this sound.
Remember to run in a straight line, and run as long as possible.
The second time you fail to complete a lap before the sound, your test is over.
The test will begin on the word start.
On your mark, get ready, start.
Suppose you are the manager of Speedy Oil Change. You think your branch is very quick with oil
changes, but lately you have been getting some customer complaints that it takes too long to get an
oil change. You take a random sample of 36 customers and time how long (in minutes) the customer
must wait for their oil change. The results are in the table below.
1.
Which of the following is the minimum value of the function y = 3/4x^2 + 6x + 6 ?
A. −4
B. 6
C. −6
D. 3/4
Answer: C. −6
Maximum= -4
Minimum= -6
Step-by-step explanation: Math.way
Use the formula x = − b /2 a to find the maximum and minimum.
( − 4 , − 6 )
n Mark's class, there are 15 students with brown hair, 3 students with blonde hair, and 5 students with black hair.
What is the ratio of students with brown hair to students with black hair?
Answer:
3:1
Step-by-step explanation:
brown:black
15:5
Divide both sides by five;
15/5 :5/5
= 3:1
