Answer:
\(\boxed{\sf{3\sqrt{6}}}\)Step-by-step explanation:
You need to find the equivalent of 54 by solving and finding the root of it.
GIVEN:
2*3³
3³=27
2*27=54
Change to square root.
\(\sf{\sqrt{2*3^3}}\)
Use the exponent rule.
EXPONENT RULE:
\(\Longrightarrow: \sf{\:A^{B+C}=A^B\cdot \:A^C}}\)
\(\Longrightarrow: \sf{\sqrt{2\cdot \:3^2\cdot \:3}}\)
\(\sf{\sqrt{2\cdot \:3^2\cdot \:3}=\sqrt{3^2}\sqrt{2\cdot \:3}}\)
\(\Longrightarrow: \sf{\sqrt{3^2}=3}\)
\(\sf{3\sqrt{2*\:3}}\)
Then, you multiply the numbers from left to right.
2*3=6
SOLUTIONS:
\(\Longrightarrow: \boxed{\sf{3\sqrt{6}}}\)
Therefore, the equivalent to square root of 54 is "3√6", which is the correct answer.I hope this helps. Let me know if you have any questions.
helpppppp pleaseeeeee
Answer:
50°
Step-by-step explanation:
We are to find m ∠2
And lines A and B are parallel
m ∠2 and 50° are Vertical angles. This means m ∠2 is the same as 50°
Hence,
m ∠2 = 50°
Therefore, m ∠2 = 50°
x + 23
5x + 13
please help
Answer:
x = 2.5 or 5/2.
Step-by-step explanation:
They're congruent angle, so set them equal to each other
5x + 13 = x + 23
Solve for x:
4x = 10
x = 10/4 = 5/2 = 2.5
Mrs. Hanover borrows $1,413 at a
rate of 5% per year. How much
Simple Interest will she owe if it
takes her 9 months to repay the
loan? Round your answer to the
nearest cent
well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99\)
Using complete sentences, describe the error in the steps used to solve the equation. There will be no problems that don’t have an error.
“The error was made when.....”
Answer:
I believe that the error is that sqrt(-2) should be equal to sqrt(2) * i
Step-by-step explanation:
The rest of the steps all use proper algebraic rules, but the square root of a*b = sqrt(a)*sqrt(b)
What is the absolute value of 18/8?
\(\left| \frac{18}{8} \right|=\frac{18}{8}=\boxed{\frac{9}{4}}\)
Which relationships have the same constant of proportionality between yyy and xxx as the following table?
x y
4 32
7 56
8 64
Choose 3 answers:
a) 3y=24x
b) graph
c) graph
d) x y
2 16
3 24
6 48
e)
x y
5 30
9 72
10 8
According to the following table, the same constant of proportionality between yyy and xxx in the relation y=8x is.
The proportionality constant k is defined as k=y/x when y and x are two numbers that are directly proportional to one another. If you are aware of the proportionality constant, you can use the equation y=kx, where k is the proportionality constant you are interested in, to determine the direct link between x and y. As an example, we may write y = kx, where k is the proportionality constant, x is the quantity of gas in gallons, and y is the cost in dollars. In other words, the cost is directly related to the number of gallons pumped.
By calculating
32=4*8
56=7*8
64=8*8
Therefore, y=8x.
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Mikhail delivers pizzas as a part-time job. He
works 5 hours a day, 3 days a week. Each day,
Mikhail is paid either $4 per pizza that he
delivers or $12 per hour, whichever daily amount
is higher. Mikhail delivered the following number
of pizzas: 18 on Friday, 26 on Saturday, and 11
on Sunday. What is Mikhail's rotai pay for these
3 days?
Answer:
I think it is $236
I'm sorry if it's wrong!
Step-by-step explanation:
Friday:
12 times 5 = 60
4 times 18 = 72
72 is higher
Saturday:
12 times 5 = 60
26 times 4 = 104
104 is higher
Sunday:
12 times 5 = 60
11 times 4 = 44
60 is higher
72 + 104 + 60 = 236
You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?
Answer:
median
Step-by-step explanation:
The first step is to sort the numbers from largest to smallest (you could go the other way as well).
60 52 48 44 20 16 12
The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.
The mean is the average. We'll call it the new average
The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252
The new mean is 252 / 7 = 36
=====================
The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)
52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32
The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.
=======================
The median increased from 44 to 32 = 12
The mean went from 32 to 36 which is 4
Answer: the median increased more
what is the answer for this
This means that after 20 hours, the pool will have 80 inches of water in it.
What is equation?An equation is a mathematical statement that shows the equality of two expressions using an equal sign (=). It is a way to describe a relationship or a condition between two or more variables.
the equation "2x + 3 = 7" is an equation with the variable "x". It states that if we substitute "x" with the value "2", then the left-hand side of the equation will equal the right-hand side of the equation. In this case, 2 times 2 plus 3 is equal to 7.
The equation that relates the number of inches of water in the pool, y, to the time in hours, x, can be written as:
\(y = 4x\)
This equation is a linear equation, where the slope (or rate of change) is 4, which represents the rate at which the water level in the pool increases per hour. The y-intercept is zero, since there are no inches of water in the pool at the beginning.
To understand how this equation works, you can plug in different values of x (time) to find the corresponding values of y (inches of water). For example, if it takes 10 hours to fill the pool, then:
\(y = 4(10)\)
\(y = 40\)
This means that after 10 hours, the pool will have 40 inches of water in it. Similarly, if it takes 20 hours to fill the pool, then:
\(y = 4(20)\\y = 80\)
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Find the surface area of the triangular prism. ______ square centimeters
Step-by-step explanation:
there is answer in the image above
Is either x=5 or x=3 a solution to 11 - x <7?
Answer:
The answer is 4
Step-by-step explanation:Let's solve your inequality step-by-step.
11−x<7
Step 1: Simplify both sides of the inequality.
−x+11<7
Step 2: Subtract 11 from both sides.
−x+11−11<7−11
−x<−4
Step 3: Divide both sides by -1.
−x
−1
<
−4
−1
x>4
Answer:
x>4
Help pls it for math I’m doing a test and didnt take all notes help I will give the brainliest
Answer:
A:1/18 B:1/6 for 4 and 1/3 for red
Step-by-step explanation:
In an aquarium, the ratio of sharks to dolphins is 3 : 5 and the ratio of
dolphins to starfish is 2 : 7.
There are 6 sharks in the aquarium.
How many starfish are there?
Step-by-step explanation:
step 1: how many dolphins
there are 6 sharks
sharks to dolphins is 3 to 5
3 S to 5 D
we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is
6 ÷ 3 = 2
so 2 sharks is = 1 part or ratio
now we can times by 5 to get a ratio of 5
5 × 2 = 10
there are 10 Dolphins
Step 2: How many starfish
repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins
put in questions answer you got
Answer:
35 starfish
Step-by-step explanation:
shark/dolphin * dolphin /starfish = shark / starfish
Now. put in the numbers given:
3/5 * 2/7 = 6/35 = shark / starfish put in '6' for shark (given)
6/35 = 6/starfish cross multiply
6 * starfish = 35* 6
starfish = 35
Please I need help
Question: What are the solutions to this graph?
Answer:
The solution to the graph are x = -2 and x = 2
Step-by-step explanation:
Here, we want to get the solution to the graph
As we can see, the graph is parabolic; which is a property of a quadratic polynomial
The solution refers to the value at which the graph plot crosses the x-axis
In other words, the solutions to the graph are represented by the point at which we have the graph crossing over the x-axis
We can see this happen at two points
These are the points x = -2 and x = 2
Ixl+2 | x | for all real numbers x,
O True
O False
Please answer ASAP. Thanks in advance.
Answer:
-11
Step-by-step explanation:
distribute: -8q-7=48-3q
move like terms to other sides of the equal sign: -5q=55
divide 55/-5
you get -11
A manufacturer has fixed costs (such as rent and insurance) of $3000 per month. The cost of producing each unit of goods is $2. Give the linear equation for the cost of producing x units per month. KIIS k An equation that can be used to determine the cost is y=[]
The manufacturer's cost of producing x units per month can be expressed as y=2x+3000.
Let's solve the given problem.
The manufacturer's cost of producing each unit of goods is $2 and fixed costs are $3000 per month.
The total cost of producing x units per month can be expressed as y=mx+b, where m is the variable cost per unit, b is the fixed cost and x is the number of units produced.
To find the equation for the cost of producing x units per month, we need to substitute m=2 and b=3000 in y=mx+b.
We get the equation as y=2x+3000.
The manufacturer's cost of producing x units per month can be expressed as y=2x+3000.
We are given that the fixed costs of the manufacturer are $3000 per month and the cost of producing each unit of goods is $2.
Therefore, the total cost of producing x units can be calculated as follows:
Total Cost (y) = Fixed Costs (b) + Variable Cost (mx) ⇒ y = 3000 + 2x
The equation for the cost of producing x units per month can be expressed as y = 2x + 3000.
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2x + 5y = 23x - 5y = 3
The given system is
\(\mleft\{\begin{aligned}2x+5y=2 \\ 3x-5y=3\end{aligned}\mright.\)We just have to sum the equations.
\(5x+0y=5\)Then, we solve for x.
\(\begin{gathered} 5x=5 \\ x=\frac{5}{5} \\ x=1 \end{gathered}\)We use this value to find y
Three friends share 2 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:I think that each friend would get 1.5/ 1 1/2.
Step-by-step explanation:
3 divided by 2 equals 1.5
draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form
Answer:
-1/5
Step-by-step explanation:
Rise/Run = 1 /5
Its negative because the run is going left instead of right
(
3
�
−
1
)
(
�
2
+
4
�
−
5
)
(3x−1)(x
2
+4x−5)
Step-by-step explanation:
u need to give the full question
Kendra watches the moon change from a new moon to a full moon. Which of the following descriptions is accurate? (Select all that apply.)
Responses
The moon is waxing.
The moon is waxing.
The moon is waning.
The moon is waning., ,
The moon appears to get smaller.
The moon appears to get smaller.
The moon appears to get bigger.
The moon appears to get bigger.
The moon does not change.
The correct description is that moon is waxing.
Which of the following descriptions is accurate?The theory used in this question is the lunar cycle, which is the process by which the moon changes its shape and illumination over the course of a month.
The waxing phase of the lunar cycle is when the moon is gradually getting bigger and more illuminated.
The waning phase is when the moon is gradually getting smaller and less illuminated.
The moon is waxing:
This is an accurate description because when the moon changes from a new moon to a full moon, it is said to be waxing.
This means that the moon is gradually getting bigger, and its illuminated side is increasing.
This process is called the waxing phase of the moon's cycle.
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GIVEN THAT AD = 5 and BC = 24, what is the radius of circle A?
Answer:
12
Step-by-step explanation:
B to C looks like your diameter so half of 24 is 12.
Consider the differential equation
(e^t+y +31²) + (e^t+y++2y)y = 0.
The given differential equation is: \((e^t + y + 31^2) + (e^t + y + 2y) \cdot y = 0\)
To solve this equation, we'll follow these steps:
Step 1: Simplify the equation
Rearrange the terms and combine like terms:
\(e^t + y + 961 + (e^t + y + 2y) \cdot y = 0\)
Step 2: Expand and combine like terms
Apply the distributive property:
\(e^t + y + 961 + e^t \cdot y + y^2 + 2y^2 = 0\)
\(2y^2 + y^2 + e^t \cdot y + e^t + y + 961 = 0\)
\(3y^2 + e^t \cdot y + y + e^t + 961 = 0\)
Step 3: Simplify further if possible
We can't simplify the equation any further as it involves a combination of exponential terms, linear terms, and quadratic terms.
Step 4: No further steps can be taken without additional information
Without any additional constraints or initial conditions, we cannot solve the equation explicitly or provide a specific solution. The equation represents a nonlinear differential equation, and its general solution or particular solutions would require further analysis, techniques, or additional information.
Please note that if there are any specific constraints or initial conditions provided, we can explore more specialized methods to solve the equation.
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how to get 20 dollars by using 25 cents?
please work it out on paper
Answer:
below if you cant read it, it takes 80 quarters
Step-by-step explanation:
-6x + 5 = 17
What’s the answer
Answer:
x = -2
Step-by-step explanation:
-6x + 5 = 17
First, combine the constants by subtracting 5 from each side.
-6x = 17 - 5
-6x = 12
Now you want x by itself, so divide both sides by -6.
x = -2
Check your answer by plugging x = -2 into the original equation.
-6(-2) + 5 = 17
12 + 5 = 17
17 = 17
Your answer is correct.
Answer:
-2
Step-by-step explanation:
-6x + 5 = 17
-6x = 17 - 5
-6x = 12
-6x = 12
6 6
-x = 2
-x = 2
-1 -1
x = -2
Hskskleksjejejekekosksososowowowkwkwkkw
Answer:
x = -168
Step-by-step explanation:
Multiply both sides of the equation by 4.
= -x = 168
Multiply both sides by −1.
x = -168
Hope it helps!!!
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What is 83,505 in expanded form
Answer:
83505
Step-by-step explanation:
It's already in the expanded form...
someone please help
Answer:
See explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
Question mode multiple choice question despite the large number of media options today, the average millennial still blank______ for an average of 10 hours every week.