STEP - BY - STEP EXPLANATION
What to find?
The solution to the system of equation.
Given:
(12y¹¹ /6 y⁴)⁻⁴
\((\frac{12y^{11}}{6y^4})^{-4}\)To solve the given problem, we will follow the steps below:
Step 1
Recall the law of indices that is applicable.
That is;
\(\begin{gathered} \frac{a^3^{}^{}^{}}{a^2}=a^{3-2} \\ \\ a^{-2}=\frac{1}{a^2} \end{gathered}\)Step 2
Apply the first law on the given expression.
\(\begin{gathered} (2y^{11-4})^{-4} \\ \\ (2y^7)^{-4} \end{gathered}\)Step 3
Apply the second law to the above.
\(=\frac{1}{(2y^7)^4}\)\(=\frac{1}{16y^{28}}\)Therefore,
\((\frac{12y^{11}}{6y^4})^{-4}=\frac{1}{16y^{28}}\)The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
(X-4)+(2x-7) Find the sum
Answer:
3x - 11
Step-by-step explanation:
(x-4)+(2x-7)
We can remove the parenthesis because we are adding and not multiplying.
x - 4 + 2x - 7 Combine like terms
x + 2x - 4 - 7
3x - 4 + - 7
3x - 11
The sum of the given expression is (3x-11)
What is expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Given is an expression, (x-4)+(2x-7)
The sum is,
(x-4)+(2x-7)
x-4 + 2x-7
x+2x - 4-7
3x-4-7
(3x-11)
Hence, the sum of the given expression is (3x-11)
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What are the zeros of the function g(x) = (x – 3) (x + 2) (x – 4)?
Answer:
x=3, x=-2, x=4
Step-by-step explanation:
You can tell because the x is just going to be the additive inverse of the already given number. I hope this helps!
Pls help picture is added it is middle school math
Answer:
4
Step-by-step explanation:
Does anyone know how to solve this?
Si el volumen de una caja de cartón de forma cúbica es de 216 dm³
The volume of the cardboard box is approximately 13197.402 cubic inches.
The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.
1 dm (cubic decimeter) is equivalent to 1 liter.
To convert dm³ to cubic inches, we can use the following conversion factors:
1 dm³ = 61.0237 cubic inches
Using this conversion factor, we can calculate the volume of the box in cubic inches:
The cube carton volume is 216 dm3 and the cube edge value is 6 dm.
The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.
To find the edge (side) value, you can solve for the volume formula as follows:
edge 3 = volume.
edge = ∛ volume,
Where ∛ is the cube root.
Applying this formula to the given problem gives edge = ∛(216 dm³).
Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.
Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³
= 13197.402 cubic inches
Question :- If the volume of a cubic cardboard box is 216 dm³
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what is the solution for a.
ab+c=d
Answer:
The second option
Step-by-step explanation:
What is greater 3 or -2.5
Answer:
3
Step-by-step explanation:
3 is positive and -2.5 is negative 2 is greater than 2.50 so the answer is 3
Give me Brainllest
Congruent sides???????????
Answer:
the second option : ST and WX
Step-by-step explanation:
congruent means they would completely cover each other when oriented in the same direction and positioned at the same location.
after dying the two mirroring actions we get
VS correlates to ZW
ST correlates to WX
TU correlates to XY
UV correlates to ZY
PLEASE HELP I GIVE BRAINLIESTTTTTT
Answer:
-0.9, -1/4, 3/5, 0.8
Answer:
Step-by-step explanation:
\(\dfrac{-1}{4}=-0.25\\\\\dfrac{3}{5}=0.6\)
-0.25 ; 0.6 ; 0.8 ; -0.9
Negative numbers have least value.
Least to greatest:
-0.9 ; -0.25 , 0.6 , 0.8
-0.9 ; -1/4 ; 3/5 ; 0.8
How many digits are in 385,604 ?
Answer:
6
Step-by-step explanation:
because 385,604 there is 6 digits
Please help it’s just one question!!
a. m
5=157=218=2410=30hope it helps.
Which of the following is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.
The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?
The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.
The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?
Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.
Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.
The inverse sine of 0.707 is π/4 radians or 45 degrees.
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If the triangles are similar, what is the value of x?
Answer:
\( 180 - 16 - 126 = 38\\ 13x = 180 - 16 - 38\\ 3x = 126 \\ 3x = 126 \\ x = \frac{126}{3} = 42\)
What is the prime factorization of 72?
0.2² x 32
O 22 x 33
O 23 x 32
O 23 x 33
Answer:
\(2^3\times 3^2\)
Step-by-step explanation:
\(72\\\\72\:\mathrm{divides\:by}\:2\quad \:72=36\times\:2\\\\=2\times\:36\\\\36\:\mathrm{divides\:by}\:2\quad \:36=18\times\:2\\\\=2\times\:2\times\:18\\\\18\:\mathrm{divides\:by}\:2\quad \:18=9\times\:2\\\\=2\times\:2\times\:2\times\:9\\\\9\:\mathrm{divides\:by}\:3\quad \:9=3\times\:3\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}\\\\=2\times\:2\times\:2\times\:3\times\:3\\\\=2^3\times 3^2\)
Answer:
So, the prime factorisation of 72 are 2 × 2 × 2 × 3 × 3 or 23 × 32, where 2 and 3 are the prime numbers.
Step-by-step explanation:
A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling
200
200200 tickets, they had a net profit of
$
12
,
000
$12,000dollar sign, 12, comma, 000. They had to sell a few tickets just to cover necessary production costs of
$
1
,
200
$1,200dollar sign, 1, comma, 200.
Let
�
yy represent the net profit (in dollars) when they have sold
�
xx tickets.
Which of the following could be the graph of the relationship?
Choose 1 answer:
The net profit can be calculated by subtracting the production costs from the total revenue generated by selling tickets. Since each ticket was sold for a fixed price, we can assume that the relationship between the net profit and the number of tickets sold is linear.
We know that when 200 tickets were sold, the net profit was $12,000, which means that the slope of the linear function is:
\(\text{slope = (net profit at 200 tickets - net profit at 0 tickets)} \div (200 - 0)\)
\(\text{slope} = (\$12,000 - \$1,200) \div 200\)
\(\text{slope} = \$55\)
The y-intercept of the linear function represents the net profit when no tickets have been sold, which is equal to the negative of the production costs:
\(\text{y-intercept} = -\$1,200\)
Therefore, the equation of the linear function is:
\(\text{y} = \$55x - \$1,200\)
where x is the number of tickets sold and y is the net profit in dollars.
The graph of this function is an increasing linear function in quadrant 1 with a positive y-intercept, which is choice A. Therefore, the answer is choice A: graph of an increasing linear function in quadrant 1 with a positive y-intercept.
HWLP MW QUICK
Which statement describes the graph?
Answer:
D
Step-by-step explanation:
The graph covers two different conditions which is identified by the red line :
The first red line starts from - 3 and arrows to the left this represents the condition x < - 3 ; because of the movement to the left.
The Second redline starts from 1, with the starting point shaded then arrow points to the right of the number line this represents two conditions (rightward direction means greater Than, shaded starting point means =) Hence the condition is ≥ 1
Hence ;
x < 3 or x ≥ 1
3) Which value below would
have the most dots on a line
plot?
3
6.25
4.25
3
Your answer
6.5
6.25
3 co
3.5
6.5
4.25
* 1 point
5
4.25
7.25
5.5
The value that would have the most dots on a line plot is given as follows:
4.25.
What is a dot plot?The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.
A line plot is built from the dot plot, in which:
The input is each observation of the data-set.The output is the number of dots on the data-set.Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).
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if you know how to do math 30 probability please help answer this question
three events, A, B, C are all equally. If there are no other possible events which of the following statements is true?
a) P(A) = 0
b) P(B) = 1
c) P(C) = 1/3
d) P(D) = 1/2
Answer: c) P(C) = 1/3
Step-by-step explanation:
P(A) + P(B) + P(C) = 1 (100%)
P(A) = P(B) =P(C)
Using substitution:
P(C) + P(C) + P(C) = 1
3 P(C) = 1
P(C) = 1/3
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
1. If you put money into a savings account that earns $84.00 over seven years at a rate of 3%, how much money did you put into the account?
Answer:
$68.30
Step-by-step explanation:
\(p( {1.03}^{7} ) = 84\)
\(p = 68.30\)
read the photo and please answer!!
please someone help me answer this and please do give explanation to your answer!
which equation represents the problem?
3x -3 =45
3x = 45 + 3
3 + 3x = 45
3 = 45 + 3x
Now Recipes?
x= 13
x= 15
x= 16
x= 14
Answer:
3 + 3x = 45 ; x = 14
Step-by-step explanation:
45 = 3x + 3 ⇒ x = 14
Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
one more than double a number and five more than double a number is 74, what is the number?
Answer:
x = 17
Step-by-step explanation:
Let the number be x.
ATQ,
one more than double a number and five more than double a number is 74,
1+2x+5+2x = 74
We need to find the value of x.
Subtract 6 from both sides,
6+4x-6 = 74-6
4x = 68
x = 17
Hence, the value of x is 17.
April bought a jacket on sale for $39.95. The sales tax rate was 7.5% determine her after tax total
Her after tax total is $42.95
Her, we want to calculate the after tax total
Mathematically, that would be the price of the Jacket plus the tax rate of the Jacket
We can have this as;
\(\begin{gathered} 39.95\text{ + 7.5\% of 39.95} \\ \\ =\text{ 39.95 + (}\frac{7.5}{100}\times39.95) \\ \\ =\text{ 39.95 + 2.99625} \\ \\ =\text{ 42.94625 which is \$42.95} \end{gathered}\)Solve (x-2)^2- 40 = 0, where x is a real number
The required solution is given as x = -4.32 and x = 8.32.
Given that,
To Solve (x-2)²- 40 = 0, where x is a real number.
The process in mathematics to operate and the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
(x-2)²- 40 = 0
(x - 2) = √40
x - 2 = ± 6.32
Taking plus,
x = 6.32 + 2
x = 8.32
Taking minus
x = -6.32 + 2
x = -4.32
Thus, the required solution is given as x = -4.32 and x = 8.32.
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Which function is graphed below?
On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
y = one-third (3) Superscript x
y = 3 (one-third) Superscript x
y = (one-half) Superscript x Baseline + 2
y = (2) Superscript x Baseline minus 1
Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.
How to solve the problemWe have exponential functions to be of the form abˣ
This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)
So it crosses through the point (0, 3).
From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1
Hence this would put our answer to be y = 3 (one-third) Superscript x
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Answer:the answer is b dont care
Step-by-step explanation:
On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.
y = one-third (3) Superscript x
y = 3 (one-third) Superscript x
y = (one-half) Superscript x Baseline + 2
y = (2) Superscript x Baseline minus 1
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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I need help ASAP DUE TODAY!
attached is image explaining