Answer:
im pretty sure you tried to say
Write 2^60 as an exponent with a base of:
a) 8
b) 16
c) 32
the answer is :
8^20 (eight to the twentieth power)
[tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].
We can rewrite the expression by means of the following power property, that is to say:
[tex]a^{b\cdot c} = (a^{b})^c[/tex], [tex]a, b, c\in \mathbb{N}[/tex] (1)
Where [tex]a[/tex] and [tex]a^{b}[/tex] are bases.
If we know that [tex]a = 2[/tex] and [tex]b\cdot c = 60[/tex], then the equivalent expression is:
[tex]2^{60} = 2^{4\cdot 15} = (2^{4})^{15} = 16^{15}[/tex]
Hence, [tex]2^{60}[/tex] is equivalent to [tex]16^{15}[/tex].
We kindly invite to check this question on power operations: https://brainly.com/question/18112557
In the following expression, both A and B are variables that can take positive values.
2\sqrt(A)-(B)/(5)
Which of these actions will cause the expression's value to increase?
Choose 2 answers:
(Choice A)
Keeping A constant and increasing B
(Choice B)
B
Keeping A constant and decreasing B
(Choice C)
C
Increasing A and keeping B constant
(Choice D)
D
Decreasing A and keeping B constant
Answer:
(Choice B) Keeping A constant and decreasing B
(Choice C) Increasing A and keeping B constant
Step-by-step explanation:
Let us analyze these two options.
2√a - b /5
(Choice B) Keeping A constant and decreasing B
Let a = 100 and b= 30
2√100 - 30/5
= 2(10) - 6
= 20 -6= 14
But if A is kept constant and B is decreased to 20
2√100 - 20/5
= 2(10) - 4
= 20 -4= 16
We see the expression value has increased from 14 to 16.
Similarly analyzing Option C
(Choice C) Increasing A and keeping B constant
Let a = 100 and b= 30
2√100 - 30/5
= 2(10) - 6
= 20 -6= 14
Now increasing A to 121 and keeping B constant would give
Let a = 100 and b= 30
2√121 - 30/5
= 2(11) - 6
= 22 -6= 16
This also increases the expression's value
But the other two choice A and D do not give the same result.
Let a = 100 and b= 30
2√100 - 30/5
= 2(10) - 6
= 20 -6= 14
(Choice A)
Keeping A constant and increasing B
2√100 - 40/5
= 2(10) - 8
= 20 -8= 12
This decreases the value .
Also
(Choice D)
Decreasing A and keeping B constant
2√81 - 40/5
= 2(9) - 8
= 18 -8= 10
This also decreases value
The correct choices are B and C
Answer:
the acutal solution is B and D
combine like terms 2.4m- 125 + 1.8b+ 92.4
Answer:
2.4m+1.8b−32.6
Step-by-step explanation:
Group like terms together
1. 2.4 m + \left( - 125 + 92.4 \right) + 1.8 b2.4m+(−125+92.4)+1.8b
2 . Add or subtract the numbers
2.4 m- 32.6 + 1.8 b2.4m−32.6+1.8b
3 . Rearrange the expression
2.4 m + 1.8 b- 32.62.4m+1.8b−32.6
Answer:
2.4m+1.8b-32.6
Step-by-step explanation:
2.4m- 125 + 1.8b+ 92.4
2.4m+1.8b-32.6
what is the value of P+Q+R+S?
Subtract 52.35 − 1.58 =
(5 points)
Answer:
52.35-1.58= 50.77
Step-by-step explanation:
Marty collects colorful paper clips. Each week he is sure to add exactly five new paper clips to his collection. Make a table representing this situation. Is the number of paper clips and arithmetic or geometric sequence? How do you know? I need the answer by today please. Whoever answer is correct I will make brainliest
Answer:
all of them
Step-by-step explanation:
I have 12 coins x of them are R5 coins and the rest are R1 coins. An expression in the in terms of x for the number of R1 coins I have is
Answer:
ans= 12-x=r1 coin...
Step-by-step explanation:
hope u can do..
what comes first on a slope x or y
Answer:
x
Step-by-step explanation:
Answer:
when you are graphing do x first
Step-by-step explanation:
The slope of a line is usually represented by the letter m. (x1, y1) represents the first point whereas (x2, y2) represents the second point. It is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope.
change 0.18 into a ratio
Scarlett is playing a video game. She spends 900 minerals to create 18 workers. Each worker costs the same number of minerals.
So you would do 900÷18 to get the amount each worker is worth, which would be 50 minerals.
Answer: m=50w
Step-by-step explanation:
When you divide 900 by 18, you get 50.
Since we are trying to find the amount of minerals per worker, m is the first variable. w is the second because that is the number of workers you can get with the minerals Scarlett has.
You have 48 markers, 64 stickers, how many bags can you put them in equally
Answer:
8
Step-by-step explanation:
1) find the least common denominator
48/8=6
64/8=8
2) check
8 times 6 is 49
8 times 8 is 64
PLEASE HELP
Which is the function represented by the table?
Answer:
f(x) = 4x
Step-by-step explanation:
-2 x 4 = -8
-1 x 4 = -4
0 x 4 = 0
1 x 4 = 4
In the diagram shown, M, N and P are collinear and QM=QN as shown. If mMQN = 48" and
mNQP = 33. Justify why QNP must be isosceles.
Answer/Step-by-step explanation:
Let's find the measure of the angles of ∆QNP.
∆QMN is am isosceles ∆, because it has two equal sides. Therefore, its base angles would be the same. Thus:
m<MNQ = ½(180 - 48) (one of the base angles of ∆QMN)
m<MNQ = ½(132) = 66°
Next, find m<QNP
m<QNP = 180° - m<MNQ (linear pair angles)
m<QNP = 180° - 66° (Substitution)
m<QNP = 114°
Next, find m<P
m<P = 180 - (m<QNP + m<PQN) (sum of ∆)
m<P = 180 - (114 + 33)
m<P = 180 - 147
m<P = 33°
Thus, in ∆QNP, there are two equal angles, namely, <P and <PQN.
An isosceles ∆ had two equal base angles. Therefore, ∆QNP must be an isosceles ∆.
An isosceles triangle is that the triangle must have two sides of equal length.
Triangle QNP is isosceles triangle because, QN = PN
In triangle QMN,
Since, QM = QN
So, ∠QMN = ∠QNM
By property of triangle:
∠MQN + ∠QNM + ∠QMN = 180
48 + 2 ∠QNM = 180
∠QNM = [tex]\frac{180-48}{2}[/tex] = 66 degree
So, ∠QMN = ∠QNM = 66 degree
from figure,
∠QNM + ∠QNP = 180
∠QNP = 180 - 66 = 114 degree.
In triangle QNP,
∠QNP + ∠PQN + ∠QPN = 180
∠QPN = 180 - 33 - 114 = 33 degree
Since, ∠QNP = ∠QPN = 33 degree
Therefore, triangle QNP is isosceles triangle.
Learn more:
https://brainly.com/question/19414224
PLZ ANSWER THIS AND GIVE AN EXPLANATION!!!
I WILL MARK BRAINLIEST!!!
Answer:
-3+(-5)=-8
-5+(-3) is also -8
Step-by-step explanation:
if the parenthesis is separating the + and - then you just add the numbers and add the symbol.
which table represents a proportional relationship that has a constant proportionality equal to 0.8
Answer:
1x0.8=0.8 ,10x0.08=0.8 and 100x0.008=0.8
Step-by-step explanation:
Which ratio is equivalent to the ratio 7 : 350?
Answer:
Choice D. 17:850
Answer:
D
Step-by-step explanation:
17/7=2.42857142857
multiply 350 by that big number=850 So D
please help asap question 3****
Answer:
answer is c
Step-by-step explanation:
C is the only one with the correct slope
please make a word problem out of this equation x + 3 > 2
like someone make a word problem like bob had this much apples something like that with that equation.
please and Thankyou
Answer:
Bob had x apples and Mary had 2 apples. After Bob received 3 more apples from his mother, Bob had more apples than Mary. How many apples did Bob have at first?
Step-by-step explanation:
The inequality sign > shows that x + 3 is more than 2.
How many yards will the players have run ?? Please help
Answer:
125.3 yards
Step-by-step explanation:
He wants them to run the so 110^2+60^2 =which is 125.3.
Hope this helps plz mark brainliest :D
happy thanksgiveing <3
Answer:
ty!
Step-by-step explanation:
(Ill give brainliest!! Pls explain your reasoning tho)
What is a reasonable estimate for the equation 9.8 ÷ 5 = ________?
A) 6
B) 5
C) 3
D) 2
Answer:
i think its C
Step-by-step explanation:
I dunno i just think its C
Write the expression in complete factored form.
4b2(x + 2) + c(x + 2) =
Answer:4b+c2-x2=8
Step-by-step explanation:
Betty is making a scale model of her house as a project for her math class. The scale she is using is 1 inch: 4 feet. The actual house is 80 feet long. What will be the length of the model?
Answer:
20 inches
Step-by-step explanation:
80 / 4 = 20 !!!!! <3
The elephant's foot was discovered a couple months after the meltdown. This was the result of the reactor Melting creating lava
Answer:
Ok, that‘s not a question, it‘s a statemen. So what‘s your point
Step-by-step explanation:
Rewrite the equation -3x+6y=42 in slope intercept form. Show all steps to receive full credit
Answer:
-3x+6y=42
-3x+6y-42=0
-x+2y-14=0
x-2y+14=0
Answer:
Step-by-step explanation:
Slope intercept form: y = mx + c
-3x + 6y = 42
6y = 3x + 42
y = [tex]\frac{3}{6}x + \frac{42}{6}[/tex]
y = [tex]\frac{1}{2}x + 7[/tex]
what is the slope of every line perpendicular to (0,1) and (2,-4)
Answer:
m=-[tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
m = [tex]\frac{y{2}-y{1} }{x2-x1}[/tex]
[tex]m=\frac{-4-1}{2-0}[/tex]
[tex]m=\frac{-5}{2}[/tex]
Declan has $45 dollars in his bank account. He accidentally breaks a glass and has to pay to replace it. He now has $9 in his bank account. What is the percent decrease?
Answer: The percent decrease is 98.44 brainliest please :)
Solve for a.
Pythagorean Theorem: a^2+b^2=c^2
Answer:
square root of 16
Step-by-step explanation:
What is the volume of a cylinder ft, with a height of 9 feet in a base diameter of 16ft? Round to the nearest tenths place ?
1809.56ft³ <<<<<<<<<<<<<<<<Answer
Answer:
452.7 ft³
Step-by-step explanation:
sooooo first you find the radius of the base.
Radius=16/2=8
now you find the area of the base:
Area of a circle=2(pi)(radius)=50.3 ( rounded up to the nearest 10ths)
now to get the volume:
volume of a cylinder=Base*hight=50.3*9= 452.7 ft³
3
If a is 63% of x and c is
8
the closest equivalent of the ratio of a to c?
ã of x, which of the following is
O
С C
E
Answer:
The closest equivalent of the ratio of a to c will be:
a/c=1.680
Step-by-step explanation:
As 'a' is 63% of x
so
[tex]a=0.63x[/tex]
As 'c' is 3/8 of x
so
c=3/8
Thus, the closest equivalent of the ratio of a to c will be:
a/c = (0.63x)/(3/8x)
= 1.680
Therefore, the closest equivalent of the ratio of a to c will be:
a/c=1.680
School lunch costs $1.25 per day. If there are 21 school days
this month, how much would it cost to eat at school all
month?. SHOW YOUR WORK., i need help asap
Answer:
$26.25
Step-by-step explanation:
1.25 per day
21 days
1.25 × 21 = 26.25