Answer:
4^30
Step-by-step explanation:
4= 2^2
2^60=4^x
2^60=(2^2)^x
60=2x
x=30
2^60=4^30
An expression is defined as a set of numbers, variables, and mathematical operations. The expression 2⁶⁰ as an exponent of base 4 is written as 4³⁰.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression 2⁶⁰ as an exponent of base 4 can be written as,
2⁶⁰
= (2²)³⁰
= 4³⁰
Hence, The expression 2⁶⁰ as an exponent of base 4 is written as 4³⁰.
Learn more about Expression:
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Simplify this equation (3√2)²
Answer:
18
Step-by-step explanation:
A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.
Answer:
[tex]\displaystyle v=46.07\ Km/h[/tex]
Step-by-step explanation:
Speed
The speed is the ratio between the distance x traveled by an object and the time t taken.
[tex]\displaystyle v=\frac{x}{t}[/tex]
The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:
[tex]t = 56 / 60 = 0.933\ h[/tex]
Now apply the formula:
[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]
I need help with 9and 10 pleas
help asap please click the image to find the question
Answer:33
Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.
help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5
-2/3, -1/4, 1/3, 2/5
Things to keep in mind
Negatives are always the smallest.
Find a common denominator after sorting negatives and positives.
What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.
Answer:
C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.
Step-by-step explanation:
8 + a = 13 (original Equation)
Subtract 8 from both sides
8 + a - 8 = 13 - 8 ( subtraction property of equality
a = 5 (Simplify)
The correct answer is option C
C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.
Hmmmmmmmmmmmmmmm?????????
Answer:whats the question?????
Step-by-step explanation:
Please answerrr!!! (don’t answer if you don’t know it) will give brainliest
Which pair of quantities form a proportional relationship? Select all that apply
Answer:
The 4th and 6th
Step-by-step explanation:
Select each set of points that are colinear.
Answer:
friend, a points are collinear
Answer:
points K and R are colinear
Step-by-step explanation:
Which shows how to solve the equation 3/4x = -6 for x in one step?
Answer:
The first option 3/4(4/3)x=-6(4/3)
Step-by-step explanation:
Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.
8. PLS ANSWER!!!!
and show work
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Mandy makes cupcakes, she uses 8 3/4 cups of flour for 12 cupcakes. How many cups of flour are needed to make 1 cupcake? Explain how you found each amount.
Answer:
Step-by-step explanation:
.75=3/4
8.75 cups divided by 12 cupcakes = .73 (rounded up) cups of flour per cupcake
evaluate = (√5+2√6) + (√8-√2√15)
Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)
Answer:
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
Step-by-step explanation:
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]
[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]
[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST
Answer:
i will help in a bit
Step-by-step explanation:
Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest
C: 2x+20=60
2x=40
x=20
D: 3x+10=100
3x=90
x=30
the level of detail that an instrument can measure is known as its _____
Answer:
precision
Step-by-step explanation:
it just is
A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
when you apply combine like terms to the right side of the equation what do you end up with?
1.What is the standard form of a linear equation?
A.x+y=0
B.y= MX+b
C. m=rise/run
D. ax +By=C
2.Which term could be used to describe the graph of a line on a coordinate plane?
A. independent variable
B. test points
C. set of all solutions
D. dependent variable
3.Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−1/6x+11/6.
A.Yes, because all the solutions of y=−1/6x+11/6 need to be integer values for x and y.
B.No, because the point (17,−1) is not on the line that represents the equation y=−1/6x+11/6.
C.No, because the set of all solutions of y=−1/6x+11/6 is represented by the line of the equation.
D. Yes, because all of the points that are listed are on the line y=−1/6x+11/6.
Answer them all in one answer please and thank you.
Answer:
1. D
sorry I know only first one
Kira is riding her bicycle. She rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does she
ride?
Answer:
1.6 hours
Step-by-step explanation:
12.8 divided by 8 = 1.6
Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3
Answer:
y = –5x – 17
Step-by-step explanation:
First, we shall determine the slope of the equation y = 1/5x – 3.
The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.
This is illustrated below:
y = 1/5x – 3
y = mx + c
Thus, the slope (m) of equation
y = 1/5x – 3 is 1/5
Next, we shall determine the slope of the line perpendicular to the equation as follow:
For perpendicular lines, their slope (m1 and m2) are related as follow:
m1 × m2 = –1
m1 = 1/5
1/5 × m2 = –1
m2/5 = –1
Cross multiply
m2 = 5 × –1
m2 = –5
Therefore, the slope of the line is –5.
Finally, we shall determine the equation of the line as follow:
Coordinate = (–5, 8)
x1 coordinate = –5
y1 coordinate = 8
Slope (m) = –5
y – y1 = m(x –x1)
y – 8 = –5(x – (–5))
y – 8 = –5(x + 5)
y – 8 = –5x – 25
Rearrange
y = –5x – 25 + 8
y = –5x – 17
Therefore, the equation is y = –5x – 17.
Solve the inequality below.
4(x + 3) < 6x – 2
Answer:
X > 7
Step-by-step explanation:
4(x + 3) < 6x – 2
4x + 12 < 6x -2
-6x -6x
-2x + 12 < -2
-12 -12
-2x < -14
----- -----
-2 -2
x > 7
The < change because it was divided by a negative number
√12
A. 2√5
B. 2√3
Which one?
Answer:
B. [tex]2\sqrt{3}[/tex]
Hope this helps!
Answer:
B.2√3
Explanation:
√2^2×√3
√2^2√3
2√3
Is Mr. Martin a hero? xplain why or why not.
Answer:
mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)
Step-by-step explanation:
simplify the following
Answer:
D. 64 z^ 2
Step-by-step explanation:
Simplify the expression.
What is an equation of the line that passes through the points (3, 8) and (1,0)?
Answer:
y = 4x - 4
Step-by-step explanation:
first, find the slope:
y2 - y1/ x2 -x1
8 - 0/ 3 - 1 = 4
no plug in your slope and one of the points to find the b:
y = mx+b
0 = 4 (1) + b
b= -4
so
y = 4x - 4
help me please
Solve for x and y
Answer:
ouch math keeps getting harder and harder every time!
Step-by-step explanation: sorry ik this aint
wat u looking for
Rs800 for 3 year at rate of 5 percent p.a
Answer:
Simple Interest = (Time * Rate * Principal) / 100
=> SI = 3 * 5 * 800 / 100
=> SI = 15 * 8
=> SI = Rs. 150
Hence, her interest after 3 years at a rate of 5 percent = Rs. 150
If my answer helped, kindly mark me as the brainliest!!
Thank You!!