Answers
Answer:
First and third options are equivalent, second and fourth options are not equivalent.
Step-by-step explanation:
Remember the relation:
[tex]a^n*a^m = a^{n + m}[/tex]
and:
[tex](a^n)^m = a^{n*m}[/tex]
We have the expression:
[tex]7^{1/5}*49^{7/5}[/tex]
We know that 49 = 7*7
Then we can write the above relation as:
[tex]7^{1/5}*49^{7/5} = 7^{1/5}*(7^2)^{7/5}[/tex]
We can use the second relationship from the above ones and write this as:
[tex]7^{1/5}*(7^2)^{7/5} = 7^{1/5}*7^{2*7/5} = 7^{1/5}*7^{14/5}[/tex]
Now we can use the first relationship to get:
[tex]7^{1/5}*7^{14/5} = 7^{1/5 + 14/5} = 7^{15/5} = 7^3 = 343[/tex]
Then:
The first option is equivalent.
The second option is not equivalent
The third option is equivalent.
The fourth option is not equivalent.
Related Questions
this is easy (1 yard equals 3 feet) that is the hint
Answers
Answer:
12
Step-by-step explanation:
60 POINTS!!!!
Your mother is 25 years older than you. Your father is 3 years older than your mother. The product of all three ages are 32,130. How old is your father?
Explanation would be appreciated!
Answers
If father is 3 years older than mother,
m +3 = f
The product of all three ages is 32130:
I-m.f = 32130
Substitute m with r+ 25:
m+3 =f r+ 25 + 3 = f r+ 28 = f
Substitute now f and m:
I- m.f = 32130 x(x+ 25)(x + 28) = 32130 (a2 + 25x)(x + 28) = 32130 3 + 28r2 + 25r + 700r = 32130 3 + 53r2 + 700r = 32130
Subtract 32130 from each side 3 + 53? + 700r – 32130 = 0
On the graph we can see that the only real solution is 17. > x = 17 m = 25 + 17 m = 42 f = m + 3 f = 42 + 3 f =|45
Our age is 17, Mother's age is 42 and father's age is 45.
Father’s age is 45
( sorry I know it’s too long but hope it helps )
My father is 42 years old as obtained from the cubic polynomial's real root.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
let my age be x years.
So, My mother is (x + 25) and my father is (x + 28) years.
∴ {x(x + 25)(x + 28) = 32130.
(x² + 25x)(x + 28) = 32130.
x³ + 53x² + 700x = 32130.
x³ + 53x² + 700x - 32130 = 0.
Now solving this has only one real solution x = 17.
So, My father is (17 + 25) = 42 years old.
learn more about cubic polynomials here :
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Find the values of x and y that make the quadrilateral a parallelogram.
Answers
The values of x and y that make the quadrilateral a parallelogram are x=3 and y=1.
What is parallelogram and its properties?A parallelogram is a four-sided flat shape with opposite sides that are parallel and equal in length.
Properties are:-
Opposite sides if parallelogram are equal.
The consecutive angles of a parallelogram are supplementary (their sum is 180 degrees).
The diagonals of a parallelogram bisect each other (they intersect at their midpoint).
The slope of the line between the points (4x+6, 4y-3) and (7x-3, 3y+1) is:
slope = (3y+1 - 4y+3) / (7x-3 - 4x-6)
= (-y + 4) / (3x-9)
The slope of the line between the points (7x-3, 3y+1) and (3y+1, 4y-3) is:
slope = (4y-3 - 3y-1) / (3y+1 - 7x+3)
= (y-4) / (7x-3 - 3y-1)
= (y-4) / (7x-3 - 3y-1)
Setting these two slopes equal to each other, we have:
(-y + 4) / (3x-9) = (y-4) / (7x-3 - 3y-1)
Simplifying this equation, we get:
(7x-3 - 3y-1)(-y+4) = (3x-9)(y-4)
-7xy + 28x + 3y^2 - 13y - 7 = 3xy - 12x - 9y + 36
Rearranging and simplifying, we get:
3x + 2y = 11 ... (1)
Similarly, we can find the slope of the line between the points (4x+6, 4y-3) and (3y+1, 4y-3) and the slope of the line between the points (7x-3, 3y+1) and (4x+6, 4y-3) and set them equal to each other. We get another equation:
4x - 3y = 9 ... (2)
We now have two equations with two variables. Solving for x and y, we get:
x = 3
y = 1
To know more about equation visit:
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A group of 8 friends went to lunch and spent a total of $76, which included the food bill and a tip of $16. They decided to split the bill and tip evenly among themselves.
Which equations and solutions describe the situation? Select two options.
The equation StartFraction 1 over 8 EndFraction (x + 16) = StartFraction 76 over 8 EndFraction represents the situation, where x is the food bill.
The equation StartFraction 1 over 8 EndFraction (x + 16) = 76 represents the situation, where x is the food bill.
The solution x = 60 represents the total food bill.
The solution x = 60 represents each friend’s share of the food bill and tip.
The equation 8 (x + 16) = 76 represents the situation, where x is the food bill.
Answers
Answer:
1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.
2) The solution x=60 represents the total food bill.
These both answers are correct.
Step-by-step explanation:
Since there are 8 group of friends, and the total amount spent by them is $76 including the tip i.e $16.
If x is the food bill our equation can be:
(x+16)/8 = 76/8
(x+16)/8 = 9.5
x+16= 9.5*8
x= 76 -16
x= 60
The food bill is x=60.
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
got it right on ed
GENIUS OR ANYONE PLZ PLZ PLZ ANSWER THIS QUESTION
Answers
Answer:
A
Step-by-step explanation:
Answer:
The answer is lovely c
Dale plows his field at a constant rate of 18 mph. If Dale plows for 6 hours, how many miles of his field did he cover? A. 3 mi. B. 18 mi. C. 68 mi. D. 108 mi.
Answers
Answer:
108
Step-by-step explanation:
If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.
Answer:
a
Step-by-step explanation:
18 divded by 6 is 3
what is the answer for this
500=125x+50
Answers
Answer:
3 3/5
Step-by-step explanation:
Answer:
Your answer would be 3.6, or 3 3/5
Step-by-step explanation:
We need to isolate x, so start by subtracting 50 from both sides: 450 = 125x
Next, divide each side by 125:
3.6 = x, or x = 3 3/5
Hope this helped!
Which expression is equivalent to 1/7 divided by 2/5
Answers
Answer:
is C
1/7 • 5/2
have a nice day!
PLEASE HELP ASAP THIS IS MY LAST QUESTION
Answers
please help me i really need my grade up
Answers
Answer: check out my music
Sometimes the best response is none at all
You probably would’ve left your m.ans, that ain’t one hundred, dawg
See nowadays, it’s like the fans doing the po.lice job
е
Step-by-step explanation:
Please mark as brainliest.
help me out I will gave points
Answers
Answer:
c
Step-by-step explanation:
which of the lines graphed has a slope of -2 and a y-intercept of 3
Answers
Answer:
I think b
Step-by-step explanation:
need a better quality photo
Answer:
B
Step-by-step explanation:
It's a little hard to see but I'm pretty sure it's B because we're looking for a graph that has a slope of -2 so it couldn't be A or D because they have positive slopes since they are pointing up. That leaves B and C. I can't really see but C doesn't look like it has a slope of -2, so I went with B because it has a y-intercept of 3 and looks like it has a slope of -2.
a 9 foot ladder is placed 4 feet from the base of a building.about how high does the ladder reach
Answers
Answer:
8.06 feet
Step-by-step explanation:
use the Pythagorean theorem
9^2 = 4^2 + x^2
81 =16 +x^2
x^2 = 65
x = 8.06 feet
what is the degree of the function f(x)=x⁴-5x+8+x²?
Answers
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
a fraction equivalent to 0.5
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 2/4 3/6 4/8 hope this helped
Are the ratios 3:5 and 6:10 equivalent?
Answers
Answer:
Yes
Step-by-step explanation:
An equivalent ratio is two or more ratios that have the same proportion. 3:5 and 6:10 do, so they are equivalent. An explanation is below.3:5 is exactly half of 6:10. I will explain the math in the steps below6 ÷ 2 = 310 ÷ 2 = 5Put them together: 3:5I hope this helps!
Which of the following is true?
A. The mean is the least
B. The median is the least
C. The mode is the least
D. The mean, median, and mode are equal
Answers
Which one of the following fractions is the largest?
5/6 1/3 3/2 5/2
Answers
Answer:
5/2
Step-by-step explanation:
Answer:
5/2 is the largest fraction.
Step-by-step explanation:
To find the largest fraction, we can convert some using the LCD (least common denominator)
Keep 5/6 as is.
1/3 = 2/6
3/2 = 9/6
5/2 = 15/6
So, 5/2 is the largest fraction.
Points a and b both lie on the line y=3x+7. Work out the missing y coordinate for a and the missing x coordinate for B?
Answers
Answer:
y coordinate = 13
x coordinate = -1
Step-by-step explanation:
Trail and error lol
The missing [x] - coordinate of point A is -2 and point B is -1.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the equation of line as -
y = 3x + 7
Refer to the graph attached of the equation -
y = 3x + 7.
Since, the graph is not given we will mark two random points on it. It can be seen that the missing [x] - coordinate of point A is -2 and point B is -1.
Therefore, the missing [x] - coordinate of point A is -2 and point B is -1.
To solve more questions on straight lines, visit the link below-
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Write three hundred eighty-seven thousandths as a decimal number.
Answers
Answer:
0.387
Step-by-step explanation:
Answer:
The answer would be 0.387
Solve for all values of c in simplest form.
|4-c| = 7
Answers
Answer:
Step-by-step explanation:
|4-c| = 7
4-c = ±7
c = 4 ∓ 7 = -3, 11
explanation: 4-3 is equal to -7 and those lines make the number positive
1. In a karate class there are 22 students. 15 of the students are male. What 6 is the ratio of females to the total number of students?
22:15
15:22
7:22
7:15
Answers
Answer:
15:22
the ratio of men to women in a karate class is 3.3:1. If there are 100 women, how many men are there?Step-by-step explanation:
Question please answer thanks if you do
Answers
Answer:
Radius = 6 ft
Diameter = 12 ft
Circumference = 37.7 ft
Step-by-step explanation:
The radius of the circle is the measurement from the center of the circle to the edge. The diagram gives us the radius, 6 ft.
Radius = 6 ft
The diameter of the circle is the measurement from the edge of the circle through the center, extending back to the edge. The diameter is equal to double the radius.
6*2=12
Diameter = 12 ft
The circumference of the circle is the distance around its edge or the perimeter of the circle. We use the below equation to solve for it:
[tex]C=\pi d[/tex] where [tex]d[/tex] is the diameter
Plug the diameter (12) into the equation
[tex]C=\pi (12)\\C=37.7[/tex]
(This answer is approximate)
Circumference = 37.7 ft
I hope this helps!
what is 4x-7y=3
x-7y=-15
Answers
Answer:
0 i think if im wrong im sorry
Step-by-step explanation:
Answer:
The answer is x=6, y=3
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of y opposite(−1)⋅(4x−7y)=(−1)(3)x−7y=−15
Simplify.
−4x+7y=−3x−7y=−15
Add the two equations together to eliminate y from the system.−4x+7y=−3+x−7y=−15−3x=−18
Divide each term by −3 and simplify.
x = 6
Substitute the value found for x into one of the original equations, then solve for y.
y = 3
The solution to the independent system of equations can be represented as a point.(6,3)
The result can be shown in multiple forms.
Point Form: (6,3)
Equation Form: x=6, y=3
Layla earned an 80% on a recent math
quiz. She scored 16 points. How many
total points were there on the quiz?
Answers
I think it might be 20???
calculate p² +3q when p=2 and q=2
Answers
Answer:
10
Step-by-step explanation:
p² +3q
= 2² +3*2
=4 + 6
=10
Answer:
10
Step-by-step explanation:
2² +3*2=4+6=10
Malala is following this recipe for bread rolls.
She uses 200 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answers
Answer:
She will use:
4g salt
3.2g yeast
12 ml oil
140 ml water
Step-by-step explanation:
Since 200 is 40% of 500 we calculate 40% of all the other ingredients and you get your answer
الأولى متوسط
و کدد
الدعبدالحان وظيفة حزلتةر 09
جیره تازمالت
في الرامام
ستم بدم / رود
للمرة الأول: نظمت مؤسسة تربو برحلة لاگده
64 ) البد قسوا على انتاج بحیک دمكم كل وين ما
ه ماهو التلافي النجم الأفواج التي تحصل عليها؟
) هل يوجد في عدد تلامده اوى و
با ماء الرحلة توقفوا لشاور وحد القاء حبه نیم
الحبة الواحدة DA
3615
ماهو الميل الكلية التي دفع كل التلامية ؟
از اعلم ان الكلامير الظلموا من هددي تامالت
على الساعة min
50 اة ووصلوا إلى مدينة جاية لياخوران
»
) ماهي الدا الي استرتها التلامير الوصول إلى
رد لة نداره ؟
3
1ho 5 min å hull the
Answers
Answer:
you said This first is the average, and Abd al-Dahan stressed the job of his party, 09 Jira Tazmalt in Al-Ram, in Dam / Rud, for the first time: The Turbo Foundation organized a trip to Jeddah 64) The Bedouin was cruel to the production of your blood every way
Step-by-step explanation:
thank for the info
Find (fxg)(a)?thanks !!
Answers
Answer:
12a^2+13a+3
explanation:
multiply:
(3a+1)(4a+3)=(fxg)
12a^2+13a+3
Write the equation in vertex farm
x2 - 8x + 10 = 0
Answers
Answer:
x = 4 + √ 6 , 4 − √ 6 hope this is correct-