Answer:
3, 3 and 1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]
A
[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3
B
[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2
C
[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6
Find the 87th term of the arithmetic sequence 12, 0, -12,
Answer:
- 1020
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = a₂ - a₁ = 0 - 12 = - 12 , thus
a₈₇ = 12 + (86 × - 12) = 12 - 1032 = - 1020
Answer:
-1008
Step-by-step explanation:
Help!
Find the distance between A and B .
Answer:
2.6
Step-by-step explanation:
1.3-(-1.3)
1.3+1.3
2.6
What is the rate of inflation if an account has a nominal interest rate of 4.2% and a real interest rate of 2.8%
A. 1%
B. 1.8%
C. 2.4%
D. 1.4%
Answer:
Rate of inflation = 1.4%
Step-by-step explanation:
Given:
Nominal interest rate = 4.2%
Real interest rate = 2.8%
Find:
Rate of inflation
Computation:
Rate of inflation = Nominal interest rate - Real interest rate
Rate of inflation = 4.2% - 2.8%
Rate of inflation = 1.4%
A racecar is racing along a circular track. The car starts at the 3-o'clock position and travels CCW along the track. The car is constantly 8 feet from the center of the race track and travels at a constant speed and it takes the car 7.854 seconds to complete one full lap.
a. How many radians does the car sweep out per second? radians per second Preview
b. Write a function fthat determines the car's distance to the right of the center of the race track (in feet) in terms of the number of seconds t since the start of the race. f(t)
Answer:
a. The car sweeps out 0.799 radians per second.
b. f(t) = 8 cos (0.799t)
Step-by-step explanation:
Given that:
The radius r = 8 feet
a.
The time t it takes to complete one full lap = 7.854 seconds
Recall that:
Angular velocity ω = 2π / t
So if in 7.854 seconds, the car sweeps = 2π radian
∴
per second, the car will sweep ω = 2π/ 7.854
ω = 0.799 rad/sec
Thus, the car sweeps out 0.799 radians per second.
b.
Since, r = 8 feet.
Suppose the car travels an angle θ in time (t),
Then the general equation for the horizontal component is:
f(t) = rcos( ωt)
f(t) = 8 cos (0.799t)
The true statements are:
The car swept out [tex]0.255 \pi[/tex] radians per secondsThe function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]The given parameters are:
Radius = 8 feetTime = 7.584 seconds(a) The radian swept per secondsTo do this, we simply calculate the angular velocity as follows:
[tex]\omega = \frac{2\pi}{T}[/tex]
Substitute 7.854 for T
[tex]\omega = \frac{2\pi}{7.854}[/tex]
Simplify
[tex]\omega = 0.255 \pi[/tex]
Hence, the car swept out [tex]0.255 \pi[/tex] radians per seconds
(b) The function at time tTo do this, we simply make use of the general equation for the horizontal component as follows:
[tex]f(t) = r\cos( \omega t)[/tex]
Substitute 8 for r
[tex]f(t) = 8\cos( \omega t)[/tex]
Substitute [tex]\omega = 0.255 \pi[/tex]
[tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Hence, the function f that determines the car's distance at time t is: [tex]f(t) = 8\cos( 0.255\pi t)[/tex]
Read more about angular velocity at:
https://brainly.com/question/6860269
witch 2 numbers are 4 units away from zero on a number line
Answer:
it depends which way youre going, but 4 and -4 work.
Step-by-step explanation:
Janna and Anthony walk home from school on Monday Wednesday and Friday their mother picks them up on Thursday and they ride the bus on Tuesday what fraction of time do they walk hom from school
Answer: 3/5
Step-by-step explanation:
Out of 5 school days, Janna and Anthony walk home on Monday, Wednesday and Friday.
This means they walk home on 3 days out of 5.
The fraction of time they walk home from school is;
= 3/5
Solve for the value of x.
Answer:
x= 12
Step-by-step explanation:
The sum of both of the equasions equal up to 180. so you set up the problem like this:
(9x-4)+(6x+4)=180
15x=180
x=12
To check;
(9(12)-4)+(6(12)+4)=180
104+76=180
What is -3(5+5)>5x?
Answer:
The answer is x < -6
hope that helps
-3(5+5)>5x
-15+-15>5x
-30>5x
5x<-30
Divide both side by 5
5x÷5 < -30÷5
x<-6
Answer:
-15 is the incorrect answer the correct answer is x < --6
Step-by-step explanation: Simplify 5+55+5 to 1010.
-3\times 10>5x−3×10>5x
2 Simplify -3\times 10−3×10 to -30−30.
-30>5x−30>5x
3 Divide both sides by 55.
-\frac{30}{5}>x−
5
30
>x
4 Simplify \frac{30}{5}
5
30
to 66.
-6>x−6>x
5 Switch sides.
x<-6x<−6
Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.
Answer:
7.68h
38.4 + 7.68h
Step-by-step explanation:
Earnings per hour = $7.68
This week Kaley worked 5 more hours than Tom in overtime
h = number of hours Tom worked.
Tom's total earnings for the week = earnings per hour × number of hours
= $7.68 × h
= 7.68h
Tom's total earnings for the week = 7.68h
Kayley's total earnings for the week = earnings per hour × number of hours
He works 5 hours more than Tom in overtime.
Tom = h
Kayley = 5 + h
Kayley's total earnings for the week = earnings per hour × number of hours
= (7.68) × (5 + h)
= 38.4 + 7.68h
Kayley's total earnings for the week =
38.4 + 7.68h
As a nurse in a maternity ward, you are tracking the weights of newborn babies. In the month of August, 360 babies are born, with a mean weight of 8.1 pounds. In the month of September, 291 babies are born, with a mean weight of 7.8 pounds.
what, approximately, is the mean weight for babies born during the two-month.?
7.83 pounds
7.93 pounds
7.95 pounds
7.97 pounds
7.99 pounds
Answer:
C
Step-by-step explanation:
Expand and simplify 3(2x + 1) +2(x + 4)
Answer:
8+11
Step-by-step explanation:
Answer:
3(2x + 1) +2(x + 4)
6x + 3 + 2x + 8
8x + 11
Step-by-step explanation:
can someone help me
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?
Answer:
The second option is betterStep-by-step explanation:
Total for the first choice:
8000*5.5/100 + 1500 = $1940Total for the second choice:
8000*3/100 + 2000 = $2240As we see the second choice is better as more salary is expected
write the equation of the line in slope intercept form
Answer:
y = x - 600
Step-by-step explanation:
y = mx + b , "m" is slope and "b" is y-intercept
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
~~~~~~~~~~~~~
y-intercept is (0, - 600) and x-intercept is (600, 0)
The slope is 1
y + 600 = x - 0
y = x - 600
Can somebody plz answer all of them correct except number 7!!! Please thanks so much :) it’s my corrections :/
WILL MARK BRAINLIEST
Answer:
Number 8 is going to be 5/2
Number 9 is going to be 31/8
Number 10 is going to be 7/4
Number 11 is going to be 29/6
Number 12 is going to be 67/13
Step-by-step explanation:
Hope this helped
Questlon 2 of 10
The amount of time between interest payments is known as:
A. simple interest.
B. interest.
C. principal.
D. period
SUBMIT
Answer: D) Period
You could refer to this as the time period. Usually the time period is in months. So you make monthly interest payments, often with the principal mixed in somewhat.
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game
Answer: answer 80%
Step-by-step explanation:
Answer:
ew teachers really out here trying to make video games about school huh
Step-by-step explanation:
Rewrite
barrel
as a unit rate.
hour
Answer:
B. 2/5 barrel/hour
Step-by-step explanation:
cross multiply 1/5 and 2/1
=2/5
Can anyone help me please ??
Answer:
c equal 11.40 Step-by-step explanation: c is the hypotenuse so under square root 9^2 +7^2
Answer:
√130 ≈ 11.4
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
9² + 7² = c²
130 = c²
√130 = √c²
√130 = 11.4
A newborn baby what weighs 3⁷ kilograms. An adult blue whale weighs 81 times the newborn. How many kilograms does the adult bluewhale weigh? Write your answer as a power of 3.
Answer:
2187
Step-by-step explanation: 27 times 81 equals 2187
How do I do this? I’m lost
Answer:
x=12
Step-by-step explanation:
3x+7=5x-17
2x=24
x=12
Someone help I’ll give brainlist lol
Karina is showing her steps to solve the expression −26.7 ÷ one third. (1 point) In which step did Karina make an error? Step 1: −26.7 ÷one third Step 2: −26.7 ⋅ −3 Step 3: 80.1
Answer:
step 2
Step-by-step explanation:
step 2 is supposed to be (-26.7 multiply by 3) since the reciprocal of 1/3 is 3 and not -3. the answer should be -80.1 instead of 80.1
By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 9-liter containers while blue paint is sold in 12-liter containers. What is the smallest amount of each paint color the store must have sold?
Answer:
36 liters
Step-by-step explanation:
We solve this question using the least common multiple method
Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.
Multiples of 9:
9, 18, 27, 36, 45, 54
Multiples of 12:
12, 24, 36, 48, 60
Therefore,
LCM(9, 12) = 36
Hence, the smallest amount of each paint color the store must have sold is 36 liters
(7,-20), (1,-3)
Find the slope of the line through each pair of points
Answer:
-17/6
Step-by-step explanation:
You find the slope by using the equation: y2-y1/x2-x1.
-20-(-3)/7-1
-20+3/6
-17/6
Find the length of BD in rectangle ABCD. a2 + b2 = c2 5 23 25 31
Answer:
B
23
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
[tex]24^{2} + 7^{2}[/tex] = 625
[tex]\sqrt{625\\}[/tex] = 25
Therefore, the length of BD in rectangle ABCD is 25mm. I just did the test and it is correct. 23 is wrong.
i need help please.
Answer:
Vertex point = (3, -2)
Step-by-step explanation:
You spend $23 to spend on 4 avocados. After buying them you had $11. How much did each avocado cost? Write an equation about this.
Answer: Each avocado cost $3
Equation: 23 - 4x = 11
Answer:
$3 per avocados
Step-by-step explanation:
23-11= 12. 12 divided by 4 = 3
20% of a is 11. what is a
Answer:
2.2
Step-by-step explanation:
11*.20 = 2.2
So that is 20% on 11.
Hope this helps!
what is 6 plus6^2÷3