Answer:
see explanation
Step-by-step explanation:
note that [tex]3^{p+1}[/tex] = [tex]3^{p}[/tex] × 3 ( when multiplying exponents are added )
Given
[tex]\frac{3^{p+1}-3^{p} }{2.3^{p} }[/tex] ← factor out [tex]3^{p}[/tex] on numerator
= [tex]\frac{3^{p}(3-1) }{2.3^{p} }[/tex]
= [tex]\frac{2.3^{p} }{2.3^{p} }[/tex]
= 1
A fish is 80 below sea level. If it ascends 25 feet, what is its new position
Answer:
THEN ITS POSITION FROM SEA LEVEL=80-25
=55
Can someone please help me with this question
Step-by-step explanation:
Just Subtract the solutions by the given numbers
Like
8-5=3 Answer 1
7-7=0 Answer 2
1-6= -5 Answer 3
hope it helps
Which fraction is equal to 0.45 REPEATING?
A.5/11
B.41/99
C.41/90
D.41/9
Answer:
A is the answer to your problem
50 POINTS!! EASY!
If y varies directly with x with a constant of proportionality of –2, what is y when x is 8? What is x when y is –20?
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Answer:
y = -16x = 10Step-by-step explanation:
The direct proportion equation is ...
y = kx
where k is the constant of proportionality. Here, you're told k=-2, so the equation is ...
y = -2x
For x=8, the value of y is ...
y = -2(8) = -16 . . . . . do the multiplication
For y = -20, the value of x is ...
-20 = -2x
10 = x . . . . . . . . . divide both sides by -2
Answer:
-16 & 40
Step-by-step explanation:
When x = 8
y = -2 × 8
y = -16
When y = -20
x = -2 × -20
x = 40
if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C
Answer:
I)
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
Step-by-step explanation:
We are given the three equations:
[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]
I)
We want to find:
[tex]\displaystyle A + B + C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]
II)
We want to find:
[tex]\displaystyle A - B + C[/tex]
Likewise, substitute:
[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]
And combine like terms. Hence:
[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]
III)
We want to find:
[tex]\displaystyle A + B - C[/tex]
Substitute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]
Distribute:
[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]
Rewrite:
[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]
And combine like terms. Hence:
[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]
what is the scientific notation to vicuna
Why is it important to reduce radicals
Determine the y-intercept of the straight line - 3y = -3x + 15
Answer:
-5
Step-by-step explanation:
-3y=-3x+15
y=x-5
make x=0
y=0-5
y=-5
a group of 3 teachers sell homecoming t- shirts. They sell 58 t- shirts for 12.50 each. If they split the amount of money evenly, how much did each teacher make?
Answer:
About $241.66
Step-by-step explanation:
Because the teachers sold 58 t-shirts for $12.50 each, multiply the amount of shirts sold by the price of each shirt to get the total amount of money that they made.
58 × 12.50 = 725
To find how much each teacher made, divide the total price by the number of teachers.
725 ÷ 3 = 241.66
Each teacher made about $241.66.
4.73x3.4..............................................................................................................................................................answer asap with step by step explanation
Answer:
16.082
Step-by-step explanation:
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located
at A(-3,1), B(4,2), and C(2,0). A bank employee drives from Branch A to Branch B and then dricas
halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee
may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary.
How to solve 1.025x = 11.55
Let's find the value of x,
→ 1.025x = 11.55
→ x = 11.55/1.025
→ x = 11.2682926829
→ [x = 11.27]
So, 11.27 is the solution.
Sound waves travel at a speed of 330.0 m/s how long does it take for the sound of thunder to travel 1.5 km?
Answer:
4.5454 seconds
Step-by-step explanation:
1.5 km is equal to 1,500 m
1,500 m divided by 330.0 m/s = 4.5454 s
Write the equation of the line in slope-intercept
form that goes through (-3, 6) & (6,- 7)
Answer:
-x+y, +y-x is the equation of the line in slope intercept
Answer:
y= - 13x/9 + 14 2/3
Step-by-step explanation:
There are two steps to these types of questions
1. Find the slope
2. Find the y intercept
For the slope, use this formula
m = y2-y1
______
X2-x1
= - 7 - 6
______
6- (-3)
= - 13
___
9
Ok first step done, now the y intercept,
y = mx + c ( slope-intercept form)
Since now u got m, put it in
y= (-13/9)x + c
Now they gave u two different coordinates,
(-3, 6) & (6,- 7), but these two coordinates are on the same line, therefore u can choose any one of them to be your y and x
I will choose (-3, 6)
Therefore
6 = (-13/9) (6) + c
6 = - 8 2/3 + c
C = 6 + 8 2/3
C = 14 2/3
Therefore your slope intercept for will be
y= - 13x/9 + 14 2/3
WILL MARK BRAINLY IF CORRECT
Solve the absolute value equation, |x| − 2 = 5.
A. x = 3 and x = −3
B. x = 7 and x = −7
C. x = −7 and x = 3
D. x = −3 and x = 7
Answer:D
Step-by-step explanation:
Maria has 144 marbles. Emanuel has 4 times the number of marbles Maria has. How many marbles does Emanuel have?
Answer:
144×4=576
Step-by-step explanation:
no of marbles maria has=144
no of mrbles emanuel has=4 times of maria
Now,
no of marbles of emanuel= 4×144
= 576
These is for a test.
What is the greatest common factor of 23 and 46?
Answer:
23
Step-by-step explanation:
hope this helps
2.
In Buffalo, New York, the temperature was -14°F in the morning. If the
temperature dropped 7°F, what is the temperature now?
I need help ASAP.
What is 5/25 as a decimal?
I WILL MARK BRAINIEST IF YOU EXPLAIN HOW YOU GOT YOUR ANSWER AS WELL!
Answer:
0.2
Step-by-step explanation:
5/25
= 20/100
[Multiplying by 4 to make the denominator 100]
= 0.20
[We count the number of zeroes in denominator and move the decimal to the left to the number of places same as the number of zeroes, in numerator. Here there are two zeroes after 1 (in 100, the denominator), so we moved the decimal to the left by two places (20.0 becomes 0.20)
P.S.- This works only when the denominator is something like 10, 100, 1000, 10000 etc.]
= 0.2 [0.20 is simplified as 0.2]
Or simply divide 5 by 25
A picture of the division is attached.
Steps:
1. Since 25 cannot divided 5, we will write a zero and a decimal in the quotient.
2. After this we will add a zero to 5, so that it becomes 50.
3. 50÷25 is 2, so write 2 in the quotient after the decimal.
4. Your answer is 0.2.
97 π cm, 27,5cm , √5/3cm, 3/5cm
Answer:
Step-by-step explanation:
Note that
[tex]\frac{\sqrt{5}}{3}=\frac{5\sqrt{5}}{15}\\\frac{3}{5}=\frac{9}{15}[/tex]
Since
[tex](5\sqrt{5})=125 > 81 = 9^2, \text{ then }\\\frac{5\sqrt{5}}{15} >\frac{9}{15}[/tex]
So
[tex]\frac{3}{5} < \frac{\sqrt{5}}{3}[/tex]
Now clearly
[tex]\frac{\sqrt{5}}{3} < 1 < 27, 5 < 97 < 97\pi[/tex]
Therefore
[tex]\frac{3}{5} < \frac{\sqrt{5}}{3} < 27,5 < 97\pi[/tex]
Simplify 20 + 52 x 2.
Answer: 124
Step-by-step explanation:
20 + 52*2 = 20 + 104
20 + 104 = 124
A dealer mixes 120 liters of milk containing 5% water with 80 liters of milk containing 10 % water. the percentage of water in the mixture is??
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Answer:
7%
Step-by-step explanation:
Let x represent the percentage of water in the mix. The amount of water in the mix is ...
5%·120 +10%·80 = x·(120 +80)
14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200
The percentage of water in the mixture is 7%.
PLEASE SHOW YOUR WORK AND HOW YOU GOT IT Valerie swam one lap in S seconds, faster than Peter by 4 seconds. Which of the following represents the average lap time of the two swimminers?
(A) S + 2
(B) S-2
(C) S-1
(D) S +4
Answer:
B
Step-by-step explanation:
B because it says Valerie is 4 seconds faster than Peter so that should be S-4 but they tell you to find the average which is S-2 so that's your answer.
Hope I got this correct, I haven't done average in a long time.
What is the largest integer that is below square root of 28?
What would 3/7 x 14 = ?
Please show work if you are able too! :)
what is the multiplicative inverse of 5 2/3
Answer:
b=2 a=5
Step-by-step explanation:
Help me out pls n thanks!!
Answer:
[tex]m^4\\[/tex]
Step-by-step explanation:
M times itself 4 times is denoted by [tex]m^4[/tex]
Answer:
m⁴
Step-by-step explanation:
m*m*m*m = m⁴, as you're multiplying it 4 times
Please help! Homework DUE TOMORROW!!!
If you give me the right answer the points are yours
Answer:
-5+2
-3
Step-by-step explanation:
We start with -5 then add 2
-5+2 = -3
Step-by-step explanation:
Expression = -5 + 2
Sum = -5 + 2 = 3
