The solution of the equation is y = 3.
What is the linear equation?An equation between two variables that gives a straight line when plotted on a graph.
The solution to the equation is;
[tex]\rm y + 3 = -y + 9\\\\y+y=9-3\\\\2y=6\\\\y=\dfrac{6}{2}\\\\y=3[/tex]
Hence, the solution of the equation is y = 3.
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What is the missing value in the table below?
Number of Books
3. $10.00
9. $30.00
18. $60.00
$80.00
Answer:
24 books
Step-by-step explanation:
Books are valued at $10/3 books. 18 books would have a value of (18books)*($10/3books) = $60, and so on.
X books would have a value of X($10/3)=$80
X = ($80)*(3/$10)
X = 24 books
this make no sense:
find the distance between the pair of points.
(2, 0) and (-1, 1)
A. 0
B. 2
C. 1.4
D. 3.2
Answer:
D is correct.
Step-by-step explanation:
Hoped this helped!
Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!
Answer:
3.2
Step-by-step explanation:
Distance forumla
[tex]y = \sqrt{(x1 - x2)^2 + (y1-y2)^2}[/tex]
[tex]y = \sqrt{(2 - (-1))^2 +(0-1)^2} \\ y = \sqrt{10} \\y = 3.2[/tex]
sin^2θtanθ+cos^2θcotθ+2sinθcosθ=tanθ+cotθ
[tex]\text{L.H.S}\\\\=\sin^2 \theta \tan \theta + \cos^2 \theta \cot \theta+2\sin \theta \cos \theta \\\\\\=\sin^2 \theta \cdot \dfrac{\sin \theta}{\cos \theta} + \cos^2 \theta \cdot \dfrac{\cos \theta}{\sin \theta} + 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^3 \theta}{\cos \theta}+ \dfrac{\cos^3 \theta}{\sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^4 \theta + \cos^4 \theta}{\cos \theta \cdot \sin \theta}+ 2\sin \theta \cos \theta\\\\[/tex]
[tex]=\dfrac{(\sin^2 \theta)^2 + (\cos^2 \theta)^2 }{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{(\sin^2 \theta + \cos^2 \theta)^2-2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{1-2 \sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\ sin \theta \cos \theta\\\\\\=\dfrac{1-2\sin^2 \theta \cos^2 \theta+2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}\\\\=\dfrac 1{\cos \theta \sin \theta}\\\\[/tex]
[tex]=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta \cos \theta}\\\\\\=\dfrac{\sin^2 \theta}{\cos \theta \sin \theta}+\dfrac{\cos^2 \theta}{\cos \theta \sin \theta}\\\\\\=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}\\\\\\=\tan \theta + \cot \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
5. If your father earns Rs. 40,000/-, mother earns Rs. 35,000/- and your brother earns Rs. 25,000/- per month and your friend's father earns Rs. 45,000/-, mother Rs.30,000/- and brother earns Rs. 15,000/- then whose monthly income is more and by what percent.
Answer:
✏The correct option is B Rs 73,333
Per capita income is the sum of all income sources, divided by the total number of people. Here the gross income of the family is = Rs (1,80,000+ 40,000) = Rs 2,20,000, the pocket money won't be added as it is an expense for the family. Then the per capita income of the family= Gross income / 3 (as the family has three members) = Rs 73,333.
Step-by-step explanation:
Percent is a relative quantity. Earning of our family is more than our friend's family (on monthly basis), by 11.11% approximately. (compared to friend's family's monthly income)
How to find how much percent 'a' is of 'b'?Percent is a relative quantity, as it is the measure of one quantity per 100 units of other quantity.
Suppose a number is 'a'Suppose another number is 'b'We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
For this case, we're specified that:
For our family:
Income of father = ₹ 40,000Income of mother = ₹ 35,000Income of brother = ₹ 25,000Total monthly income = ₹(40000 + 35000 + 25000) = ₹100,000
For friend's family:
Income of father = ₹ 45,000Income of mother = ₹ 30,000Income of brother = ₹ 15,000Total monthly income = ₹(45000 + 30000 + 15000) = ₹90,000
Thus, we see that friend's family's monthly is monthly ₹10,000 less than our family's monthly income.
We need to find how much percent this ₹10,000 is of their family because we need to find by how much percent our family's income is more than the friend's family's monthly income (so comparison is with respect to the monthly income of friend's family).
Let P be the percent the ₹10,000 is of the amount ₹90,000
Then, we get:
[tex]P = \dfrac{10000}{90000} \times 100 = \dfrac{100}{9} \approx 11.11 \%[/tex]
Thus, earning of our family is more than our friend's family (on monthly basis), by 11.11% approximately. (compared to friend's family's monthly income)
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What is the lower quartile of the following data set
53,49,43,59,63,76,40,71,47,66,57,30,48,58,35
The lower quartile is 43.
what percent of numbers of the muffins sold were carrot
Find the Area of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Please help me on this!!
Answer:
Pretty sure it's "only i"
Step-by-step explanation:
A constant rate of change means that something changes by the same amount during equal intervals.
$30 is the same amount whereas 10% could vary.
Hope this helps.
Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).
Generally, you'd see the equation of a circle organized in the following format:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
[tex](h,k)[/tex] is the center[tex]r[/tex] is the radiusTo determine the equation given the center and the radius:
Plug both pieces of information into the general equationSimplifySolving the QuestionWe're given:
Radius: 99Center: (-1,-8)Plug the radius and center into the equation as r and (h,k):
[tex](x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801[/tex]
Answer[tex](x+1)^2+(y+8)^2=9801[/tex]
what is an equation of the line that passes through the point (-2,-8) and has a slope of 3?
a) y=3x-2
b) y=3x-22
c) y=3x+2
d) y=3x+22
Answer:
y = 3x -2
Step-by-step explanation:
General equation of a line in the slope intercept form is
y = mx + b ,
where m is the slope and b is the y-intercept ( where intercepts the y-axis)
y = 3x + b ,
because is given slope is m = 3
For point (x = -2, y = -8) we have
-8 = 3 (-2) + b
-8 = -6 + b
-8 + 6 = b
-2 = b
The equation of the line that passes through the point (-2,-8) and has a slope of 3 is
y = 3x -2
What is the quotient?
5^-6/5^3
Heyo!
SaddySokka is here to help!!
Let's do this step-by-step explanation!
[tex]=\frac{5^-^6}{5^3}[/tex]
[tex]=5^-^6^-^3[/tex]
[tex]=5^-^9[/tex]
[tex]=\frac{1}{5^9}[/tex]
Answer:
A. [tex]\frac{1}{5^9}[/tex]
Hopefully, this helps you!!
Have a great day!!
SaddySokka~
I need this done quick.
Melinda kept a record of her spending for the week. she spent $25 to put gas in the car, bought a new shirt for a total of $22.38, played putt-putt golf with some friends that cost $6.95 and paid $38.71 for a few groceries. what was the total of melinda’s expenses for the week? a. $68.24 b. $86.09 c. $91.94 d. $93.04 please select the best answer from the choices provided a b c d
The total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.
What is expenses?It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.
Melinda kept a record of her spending for the week as follows:
The amount she spent money to put gas in the car = $25
The amount to buy a new shirt = $22.38
The amount to play putt-putt golf with some friends = $6.95
The amount to buy groceries = $38.71
To calculate the total expenses for the week, we must add all the expenses:
= $25+$22.38+$6.95+38.71
= $93.04
Thus, the total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.
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A cube is a regular prism with square faces. How can you write a simpler version of the surface area formula for a cube?
Answer:
A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
The surface area formula for a cube is 6l²
How to determine the surface area?A cube has the following features:
6 faces of equal areasEach face has equal side lengthThe area of a face of a cube is:
Area = l²
Where l represents the side length
The surface area formula for a cube is then calculated using:
Surface area = 6 * Area of a face
So, we have:
Surface area = 6 * l²
Surface area = 6l²
Hence, the surface area formula for a cube is 6l²
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The diagram below is used to sort out numbers.
Type each number in the correct location on the diagram.
7 8 9 10
7, 7, 9, 27, 27, are the numbers that we can fill these boxes starting from left.
What is a prime number?A prime number is not a composite number, prime numbers are only divisible by the number itself and one.
An example of a prime number is 2 which is only divisible by 2 and 1 it is also the only even prime number.
The only prime number is 7.
The intersection of prime and odd numbers is 7.
The only odd number is 9.
The intersection of odd and cube numbers is 27.
The only cube number is 27.
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Sam would like to use his extensive stamp collection as collateral for a secured loan. sam has documentation that says his stamp collection is worth $10,525.00. sam's bank has a policy that permits loan officers to lend no more than 82.5% of the value of the collateral. what is the maximum loan amount sam can get from his bank using his stamp collection as collateral? a. $8,683.13 b. $9,700.00 c. $10,525.00 d. $12,382.35 please select the best answer from the choices provided a b c d
Answer:
A on edge 2021
Step-by-step explanation:
I got it correct.
Rachel currently has $836 in a savings account that has earned 4. 5% annual compound interest for the past year. What was Rachel’s beginning balance one year ago if she has made no other deposits during the year?
Rachel's beginning balance one year ago was $800.
What is compound interest?Compound interest is applicable when there will be a change in the principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that,
The current balance is $836 which is the result of compound interest of 4.5 % annually.
The original amount was a priciple amount P on which interest was applied and the final amount $836 made.
Compound interest formula;
A = P[ 1 + RT/100]^T
Where A is the final amount and T is the time period.
Here,
A = 836 , R = 4.5% and T = 1 year.
So,
836 = P[1 + 4.5/100]^1
P = 836/1.045 = $800
Hence "Rachel's beginning balance one year ago was $800".
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Fill in the table using this function rule.
y=15-3x
x y
1:
3:
4:
5:
Answer:
(1,12) ; (2,9) ; (3,6) ; (4,3) ; (5,0)
Step-by-step explanation:
You need to plug the x values into the equation.
Your equation: y=15-3x
Example:
Plug in 1
y=15-3
y=12
Plug in 2:
y=15-3(2)
y=15-6
y=9
Plug in 3:
y=15-3(3)
y=15-9
y=6
Plug in 4:
y=15-3(4)
y=15-12
y=3
Plug in 5:
y= 15-3(5)
y=15-15
y=0
What is the center of a circle represented by the equation (x 9)2 (y−6)2=102? (−9,6) (−6,9) (6,−9) (9,−6)
The center of the circle (x + 9)² + (y − 6)² = 10² is at (-9, 6) and the radius of the circle is 10 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
(x + 9)² + (y − 6)² = 10²
Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.
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Answer:
A. (-9, 6)
Step-by-step explanation:
i did it B)
please help me please
Answer:
Step-by-step explanation: y axis is 6units up (y=+6)
X axis is 2units to the right. (×=+2)
ABC ~ DEF. What sequence of transformations will move ABC onto DEF?
The transformation that is implemented is clockwise rotation by 270° about the origin and dilation by a scale factor of 1/2 .
The process of transformation an existing graph or equation into a new graph is known as graph transformation . The alteration of algebraic equations is a typical form of algebraic challenge.
A transformation modifies the graph of a parent function. Dilations, reflections, and translations are the three distinct types of transformation . The y-values of a function can be changed vertically, or the x-values can be changed horizontally (affects the x-values).
In the given figure we can see that the length of the side BC of the figure is 4 units, where as the length of the corresponding side in the image is
2 units . Hence the image is dilated buy a scale factor of 1/2 .
And from the transformation figure it is clear that the image has rotated either 270° clockwise or 90 ° counterclockwise.
Hence the second option on transformation is correct.
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Answer:
D). A dilation by scale factor of 1.2, centered at the origin, followed by a 270 clockwise rotation about the origin
Step-by-step explanation:
please help asap tysm <33
Three times the sum of a number and 7 is 4.
What is Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3? –78 –24 30 54
All polynomials are continuous, so the limit can be evaluated by direct substitution:
[tex]\displaystyle \lim_{x\to-3} (x^3+3x^2+4x-12) = (-3)^3+3(-3)^2+4(-3)-12 = \boxed{-24}[/tex]
The Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3 is -24.
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
All polynomials are continuous, so the limit can be evaluated by direct substitution:
[tex]\lim_{x \to {-3}} x^3 + 3 x ^2+ 4 x - 12\\\\= (-3)^3 + 3 (-3)^2+ 4 (-3)- 12\\\\= -24[/tex]
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The ratio of rides to games at the fair is 3 to 4. If there are 27 rides at the fair, how many games are there?
Answer: 36
Step-by-step explanation: Ratio 27:36 is also 3:4
Answer:
36 games
Step-by-step explanation:
since the ratio is 3:4 we must get what the original is.
27/3=9
27+9=36
27:36
Hey everybody how are you doing do you have any plans for Easter? What is your favorite holiday or book? What is your favorite subject in school do you like school?
Answer:
hey i am doing god how are you and i dont know what i am doing for easter. My favorite holiday is christmas and easter. My favorite subjects in school are math and reading. I love school.
Step-by-step explanation:
Why did the 1979 iran hostage crisis happen?
yes it is uses in1979 there ie big tsunami
Answer:
the American Embassy in Tehran was overrun and its employees taken captive.
Step-by-step explanation:
Triangle LMN is similar to triangle OPQ. Find the measure of side PQ. Round your answer to the nearest tenth if necessary.
The measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
What are similar triangles?Similar triangles are triangles that have equal sides and angles. The ratio of the similar sides is a constant.
According to the triangle given:
PQ/17 = OQ/LM
PQ/17 = 49/12
12PQ = 833
PQ = 69.4
Hence the measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4
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The depth of two lakes is measured at multiple spots. For the first lake, the mean depth is about 45 feet with a mean absolute deviation of 8 feet. For the second lake, the mean depth is about 60 feet with a mean absolute deviation of 27 feet.
Noah says the second lake is generally deeper than the first lake. Do you agree with Noah?
No, I do not agree with Noah because the second lake has greater variability with a higher MAD so even though the mean depth is deeper the data is very spread out away from that mean.
No, I do not agree with Noah. The MAD tells us how deep it is and the 1st MAD is more.
Yes, I agree with Noah. The MAD tells us how deep it is and the second MAD is more.
Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second.
Answer:
Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second
Step-by-step explanation:
Find the product of (–d e)(4e d). which statements are true? check all that apply. there are 2 terms in the product. there are 3 terms in the product. there are 4 terms in the product. the product is degree 1. the product is degree 2. the product is degree 4.
The product of the given expression is -3ed + 3e^2 showing that they contain two terms and the product has a degree of 2.
How to find the product of expressions?
Equations are expressions separated by an equal sign.
Given the following expression
(–d + e)(4e + d).
We are to take the product of both expressions.
Expand to have:
(–d + e)(4e + d) = -4ed - d^2 + 4e^2 + de
(–d + e)(4e + d) = -3ed + 3e^2
Hence, there are two terms in the solution and the product is degree 2.
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Answer:
B and E
Step-by-step explanation: