One possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
In this problem, we have a system with:
3 variables.2 equations.Since the number of variables is greater than the number of equations, we have a free variable, that is, a variable for which we can attribute a value.
We will attribute c = 1, hence the system becomes:
ab = 85.a + b = 86.Then one possible solution is a = 85 and b = 1, or vice-versa, as:
ab = 85 x 1 = 85.a + b = 85 + 1 = 86.Hence one possible solution for the given system of equations is:
a = 85, b = 1, c = 1.
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Problem is In the photo.
please help I’m confused :/
The tourist bureau of the Hawaiian Islands surveyed a sample of 5 United States tourists as they left to return home. The tourists were asked how many days they spent on their visits. Their responses were as follows.
7, 8, 4, 9, 7
Find the standard deviation of this sample of numbers. Round your answer to two decimal places.
The standard deviation of the sample number is 1.67.
According to the question we have been given a sample of 5 United states tourist.
We need to find the standard deviation of the sample. The formula for the standard deviation is given as :
[tex]\sigma[/tex] = √∑( xₙ - u)²/N
where σ = standard deviation
xₙ = each value of the sample
N = number of sample
u = mean
First the mean = (7+8+4+9+7)/5
= 7
∑( xₙ - u)² = (7 - 7)² + (8-7)² + (4-7)² + (9-7)²+ (7-7)²
= 0² + 1² + (-3)² + 2² + 0²
= 1 + 9 + 4
= 14
Substituting the value sin the given formula we get
σ = √(14/5)
= √2.8
= 1.67
Hence the standard deviation of the sample number is 1.67
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The cost of packing a box of chocolates is given by x², where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the
weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?
Step-by-step explanation:
The answer to the problem is as follows:
For a box with x chocolates, the cost of packaging is C(x) = x^2 and the
weight is W(x) = x + 2.
Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).
I hope my answer has come to your help. God bless and have a nice day ahead!
How many natural numbers below 2021 have exactly 15 positive integer factors
Answer:
ITO PO ANSWER:PA BRAINLEST NALANG PO HEHE
What is the arena of the circle for model 3
The area of the circle is approximately 78.5 square meters
What are areas?The area of a shape is the amount of space on the shape
How to determine the area of the circle?The given parameters are:
Radius = 5
The area of a circle is calculated using
A = pi r^2
In this case
pi = 3.14
So, we have:
A = 3.14 * 5^2
Evaluate the product
A = 78.5
Hence, the area of the circle is approximately 78.5 square meters
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Possible question
What is the area of a circle for model 3 where the radius is 5 meters.
Use pi approx3.14 . The area of the circle is approximately square meters
Enter only the number.
Elsa used the multiplication table below to write ratios that are equivalent to 12-4
What is the missing number?
A.6
B.18
C.24
D.36
PLS HELP IM TIMED!!!!
The missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
_______________________________
It is given that Elsa used the multiplication table below to write ratios that are equivalent to 12-4 and one number is missing from the given ratios, we need to find that missing number.
Now, first of all let us understand what are equivalent ratios;
When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.
Furthermore, in the given question we are given one ratio that is;
=> 12:4 which can also be written as,
=> 3:1
Now, let us assume that the other ratio is x:y than;
=> x:y
So, let us compare both the ratios as they are equivalent ratios;
=> x:y = 3:1
To calculate the other ratio, we need to divide it by 12 so that we get the equivalent ratio;
=> x/12 = 12/4
=> x/12 = 3
=> x = 12 × 3
=> x = 36
So,
=> 36/12 = 12/4
=> 3/1 = 3/1
Therefore, the missing number is 36 so that the equivalent ratios become 3:1, so that the option D is correct.
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Lucretia who works part time as a substance abuse counselor ,earns $18.15 per hour and works 20 hours per week. she is single and claims one withholding allowance. she lives in a state with no income tax
Answer:
$363
Step-by-step explanation:
i mean with what your given it 18.15 x 20 x could be . for others
Find F of g of h given that f(x)=1/x,g(x)=x^3,h(x)=x^2+2
Write each word in decimal form I need help
Please!!!
Answer:
1. 12.54
2. 6.016
3. 0.162
4. 20.05
Step-by-step explanation:
Answer:
1. 12.54
2. 6.016
3. 0.162
4. 20.05
Explanation:
(I'm sorry if this sounds bad. I wrote it at two in the morning. you can go ahead and skip this if you want.)
It is common to discuss numbers when writing academic or professional documents.
It may be appropriate to spell out a number with a decimal if you're sharing statistics or explaining a mathematical concept.
Learning how to properly write decimals can help you create documents that meet expectations.
The proper way to convert worded forms into decimals:
Let's do an example.
Twenty-three and six-tenths,
We are given four numbers.
It is easy to see that Twenty-three equals 23.
But what about the decimal?
Decimals in worded form are always after "and," and they always have "th(s)" at the end, rather than what would appear there in regular numbered word form.
So, given "six-tenths," it is pretty simple.
Six-tenths=0.6
The reason for this is that the word "tenths," won't make it 0.16, because, in decimals, we always skip what would be oneths. The reason for this is; is that this only makes sense if there were "oneths," and dividing a "whole" into "oneths" resulted in the "whole"... So that spot was already taken.
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What value of d makes the equation -2 +3i+ 12i = 9i-(2-di) true?
Answer:
d = 6
Step-by-step explanation:
-2 +3i+ 12i = 9i-(2-di)
-2 + 15i = 9i - 2 + di
-2 + 15i = -2 + 9i + di
6i = di
6 = d
Calculate the required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future. The real risk-free rate is equal to 3% and the market risk premium is 5%. Mercury has a beta of 2.0, and its realized rate of return has averaged 15% per year over the last 5 years.
The required rate of return for Mercury Inc., assuming that investors expect a 5% rate of inflation in the future is 18%.
How to calculate the rate if return?Real risk free rate = 3%
Inflation Premium = 5%
Nominal risk free rate Rf = Real risk free rate + Inflation Premium = 3% + 5% = 8%
Market risk premium (Rm –Rf) = 5%
Beta = 2
As per CAPM, required rate of return:
= Rf + beta * (Rm – Rf)
= 8% + 2 * 5%
= 8% + 10%
= 18%
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finding the slope of (1, 1), (-1,-4) from two points
Answer:
2.5
Step-by-step explanation:
The difference between the Y axis is 2, and the difference between the X axis is 5 so you divide 5 by 2 to get 2.5
Billy had two-thirds of a pizza left after dinner. Later that night, he ate one-fourth of it for
a snack. How much of the pizza did he eat for a snack
According to the given statement the fraction of pizza did Billy eat for a snack = 1/12
what is a fraction?A fraction is a subset of a bigger whole. In arithmetic, the number is expressed as a quotient, which represents the numerator divided by that of the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in both the numerator and the denominator.
What is the significance of a fraction as a number?A fraction, often known as a fractional number, is used to represent a portion of a whole. Fractions are made up of two numbers: a numerator (the number above the line) as well as a denominator (which is below the line). The denominator is the number of equal pieces that anything is divided into.
According to the given data:Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack =
Now ,
total size of pizza be = 1
Billy had = 2/3 of pizza
later he ate = 1/4
the pizza did Billy eat for a snack = total size of pizza -(2/3 of pizza + later he ate)
= 1 - (2/3 + 1/4)
= 1 - (11/12)
= 1/12
the pizza did Billy eat for a snack = 1/12
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On April 1, Mr. Olson’s meter read 7,329 kw-hr. On may 1, the meter read 8,284 kw-hr. At $.08 per kw-hr, what was his electric bill for the month of April?
His electric bill for the month of April is $76.4
How to determine his electric bill for the month of April?The given parameters are
April 1 = 7,329 kw-hr.
May 1 = 8,284 kw-hr
Rate = $.08 per kw-hr
His electric bill for the month of April is calculated as
Bill = (May 1 - April 1) * Rate
So, we have
Bill = (8,284 - 7,329) * .08
Evaluate
Bill = 76.4
Hence, his electric bill for the month of April is $76.4
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(Cosec a -cot a)^2=1-cos\1+cos
Answer:
Step-by-step explanation:
[tex]\displaystyle\\(cosec \alpha -cot\alpha )^2=\\\\(\frac{1}{sin\alpha } -\frac{cos\alpha }{sin\alpha })^2 =\\\\(\frac{1-cos\alpha }{sin\alpha } )^2=\\\\\frac{(1-cos\alpha)^2 }{sin^2\alpha }=\\\\ \frac{(1-cos\alpha )^2}{1-cos^2\alpha } =\\\\\frac{(1-cos\alpha )^2}{(1+cos\alpha )(1-cos\alpha )} =\\\\\frac{1-cos\alpha }{1+cos\alpha }[/tex]
A function is given.
f(x) = 5 − 3x^2; x = 3, x = 3 + h
(a) Determine the net change between the given values of the variable.
The net change between the given values of the variable is; - 3x² - 6xh - 3h² + 23
What is the Net Change of the Function?
We are given the function;
f(x) = 5 - 3x²
x = 3
x = 3 + h
The net change is just looking for the difference between f(3) and f(3 + h). Thus, we will evaluate the function at x = 3 and x = 3 + h and then calculate f(3 + h) - f(3).
f(3 + h) = 5 - 3(x + h)²
= 5 - 3x² - 6xh - 3h²
f(3) = 5 - 3(3)²
f(3) = 5 - 27
f(3) = -18
Net Change = f(3 + h) - f(3)
= 5 - 3x² - 6xh - 3h² + 18
= - 3x² - 6xh - 3h² + 23
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How many times larger is 6.255 x 10^10 than 1.5 × 10^8?
4.17
24.0
240
417
we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
We are given two expressions:
6.255 × 10¹⁰ and 1.5 × 10⁸
We need to tell that how much times is 6.255 × 10¹⁰ larger than 1.5 × 10⁸.
We will do this with the help of division.
So, we get that:
= 6.255 × 10¹⁰ ÷ 1.5 × 10⁸
= 6.255 × 10¹⁰⁻⁸ ÷ 1.5
= 6.255 × 10² ÷ 1.5
= 625.5 ÷ 1.5
= 417
Therefore, we get that 6.255 × 10¹⁰ larger than 1.5 × 10⁸ by 417 times.
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Simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed.
A: 1 over quantity 9 times a raised to the sixth power times b raised to the twelfth power end quantity
B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity
C: 27b12a6
D: quantity 27 times b raised to the twelfth power end quantity over a raised to the sixth power
The solution to simplifying the given expression using laws of exponents is; B: 1 over quantity 27 times a raised to the sixth power times b raised to the twelfth power end quantity
How to use laws of exponents?
Some of the Laws of Exponents are;
When multiplying similar bases, retain the base as same and add the exponents. When raising a base with a power raised to another one, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.We want to simplify a raised to the negative two power over quantity 3 times b raised to the fourth power end quantity all cubed. This is expressed as;
(a⁻²/3b⁴)³
Using the second law of exponent quoted above, we have;
(a⁻²*³)/(3³b⁴*³) = a⁻⁶/27b¹² = 1/a⁶27b¹²
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what is the coordinate rule and transformation?
According to the given data, It is Transformation of rotation by 180°.
Transformations are changes that appear in the shapes present on a coordinate plane by rotation, reflection or translation. A function, f, that maps to itself is called the transformation, that is if f = X → X'. This transformation can be any one of the translation, rotation, reflection, and dilation or the combination of operations like translation, rotation, reflection, and dilation. The translation is moving a function in a specific direction, rotation is spinning the function about a point, reflection is the mirror image of the function, and dilation is the scaling of a function.
The transformation that rotates each point in the shape at a certain number of degrees around that point is called transformation of rotation. The shape rotates counter-clockwise when the degrees value is positive and it rotates clockwise when the degrees value is negative. The general rules for transformation of rotation about the origin are given below,
To rotate 90º: (x,y) → (-y, x)
To rotate 180º (x,y) → (-x,-y)
To rotate 270º (x,y) → (y, -x)
given data: preimage → image
R( -4, 3 ) changes to R'( 4,-3 )
S( -1, 3 ) changes to S'( 1, -3 )
T( -4, 1 ) changes to T'( 4,-1 )
As we can notice similar trend in the data given in the question like 180° rotation, Thus we can conclude that the coordinate rule and transformation is Transformation of rotation.
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5 + 2[(4 + 2)^2 – (3^3 + 2)]
Answer:
19
Step-by-step explanation:
PEMDAS is your bff here:
5 + 2[(4 + 2)^2 – (3^3 + 2)]
Do the parenthesis first (yes i do solve for 3^3 and add the 2 to it, it makes it quicker)
5 + 2[(6)^2 - 29)]
now do exponents
5 + 2 (36 - 29)
subtraction
5 + 2(7)
multiple cation
5 + 14
And add those together to get 19
What is the complete factorization of 4x² - 25?
Answer: (2x+5)(2x-5)
Step-by-step explanation:
4x² - 25=
2²x² - 5²=
(2x)² - 5²=
(2x)(2x) - 5(5)=
(2x)(2x) - 5(2x) + 5(2x) - 5(5)=
2x(2x-5) + 5(2x-5)=(2x+5)(2x-5)
dose the base have to be flat when finding base x height?
for finding the parallegram for height dose the height have to touch and make a 90 degree angle?
Estimate the distance you can travel in 6 hours 55 minutes if you drive on average 51 miles per hour. Round your answer to the nearest mile
- - - - - - - - - - - - - - - - - - - - - - - -
Heyo! Your explanation is below, if necessary.
- - - - - - - - - - - - - - - - - - - - - - - -
If it's 51 miles per hour, simply multiply the distance by the number of hours.
51 x 6 = 306
51 x 55/60 = 46.75
Now, add the products.
306 + 46.75 = 352.75
- - - - - - - - - - - - - - - - - - - - - - - -
Have a great day/night!
~pinetreee :)
: Using the variable below, is the equation and its solution below true or false for the variable?
X = 4
7 + x = 11
Which table best shows the average speed of the toy car at different time intervals?
Answer:
Table A
Step-by-step explanation:
Note that the curve flattens out between 4 and 6 s
So the average speed is 0( the train is standing still) in the time interval 4-6 s
From the tables we can see that (A) and (D) are the only two tables that have average speed of 0 for 4-6 second interval. So let's eliminate the other two(B and C) and focus on these two
Looking at tables A and D we can see that the average speed in the 0-2 interval is 1.0 for both
So let's focus on the only entry where the tables show different values ie the interval 2-4 = 2s)
Looking at the graph we can see that in the interval 2-4, the train travels from distance of 2m to distance of 3m. In other words it covers a distance of 1 meter ( 3 - 2 ) in 2 seconds
Therefore average speed at this time interval = 1m/2sec = 0.5 m/s
So table A shows the correct average speed
Show that the following points are the vertices of a square
(2, 2), (-2, 2), (-2,-2), (2,-2)
Check the picture below.
notice, sides are equal, opposite sides are perpendicular to their counterparts.
What is 48,100,000,000,000 in scientific notation? 4.81 x 10^-11, 4.81 x 10^-13, 4.81 x 10¹¹, 4.81 x 10¹³
Check the picture below.
The ratio of white tiles
to shaded tiles is 5 to 6.
You have a total of 44
tiles. How many tiles
are shaded in all?
The number of white tiles is 20 and the number of shaded tiles is 24
The ratio of white tiles to shaded tiles is given as 5:6
Total number of tiles = 44 tiles
Let x be the number of shaded tiles then the number of white tiles will be 44-x
Formualting the equation using the above variables we get:
Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile
= 44-x/x = 5/6
= 264-6x = 5x
= 264 = 11x
x = 24
Hence, the number of white tiles is 20 and the number of shaded tiles is 24
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PLEASE HELP ILL GIVE BRAINELST
Answer:
1) 8
2) 3
3) 4
4) 5
5) 6
6) 2
7) 1
8) 18
Step-by-step explanation:
whenever you see a letter, just change that letter with whatever the guide says, for example, 6+c would be 6+2, which is 8. Another example is ab, which would be 6 times 3 because a is 6 and b is three
Select all the correct answers.
Consider the circle represented by this equation.
X^2+4x+y^2-2y-4=0
Which features are features of the circle?
center at (-2, 1)
radius of 1
radius of 3
radius of 9
center at (2,-1)
center at (-4, 2)
Answer ASPA
Based on the calculations, the features which are features of the circle include the following:
center at (-2, 1).radius of 9.What is a circle?A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.Given the following equation:
x² + 4x + y² - 2y - 4 = 0
x² + 4x + y² - 2y = 4
Next, we would evaluate the equation by using completing the square method:
x² + 4x + 4 + y² - 2y + 1 = 4 + 5
(x² + 2x + 2x + 4) + (y² - y - y + 1) = 9
(x + 2)² + (y - 1)² = 3²
By comparing the above equation with the standard form of the equation of a circle, we have:
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