Answer:
m = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x + 4 ← is in slope- intercept form
with slope m = - 9
A number n is divided by 9 is 3. What is the remainder when 3n + 5 is divided by 9?
Answer:
9.55555555.......
Step-by-step explanation:
n is 27 because 27÷9=3. 3n is 81 because 27×3=81. 81+5=86 and 86÷9 is 9.55555555555.....
Answer:
5
Step-by-step explanation:
A number n is divided by 9 is 3
n/9 = 3n = 3*9 = 27Find the remainder when 3n + 5 is divided by 9.
3n + 5 = 3*27 + 5 = 9*9 + 5As we see the resultant number, when divided by 9 will leave a remainder of 5
So the answer is 5.
your mom sells bracelets for 5.00 and rings for 10.00 write an equation to show how many of each she must sell if her total sales are 100.00(x=bracelets (y=rings
The number of bracelets and rings sold is 4 and 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Bracelets = x
rings = y
Cost of bracelets = $5.00
Cost of the rings = $10.00
Now,
One day she sold 4 more earrings than bracelets and her sales totaled $100.
We can make two equations as,
y = x + 4 _____(1)
5x + 10y = 100 ______(2)
Substituting (1) in (2)
5x + 10(x + 4) = 100
5x + 10x + 40 = 100
15x = 100 - 40
15x = 60
x = 4
And,
y = 4+4
y =8
Thus,
Bracelets = 4
rings = 8
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Answer: 5x+10y=100
Step-by-step explanation:
ITS TIMED HELP ASAP PLES
What is the following product?
45
0 )
(2)
0 (-)
Answer:
Step-by-step explanation:
it's c
3^3 * 2^3*5
Evaluate.
-5(3)(-1)(-3)
Fill in the blank if point A always begins at 45 and point B at 69.
A) Points A and B are units apart.
b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be ______ units apart.
c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be _____ units apart.
D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be _____ units apart.
e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be _____ units apart.
f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.
Using simple Subtraction, following is the required data.
point A always begins at 45 and point B at 69,
b) If A moves 2 units to the right, and B moves 2 units to the left, the points will be 20 units apart. (47 - 67)
c) If A moves 2 units to the left, and B moves 2 units to the right, the points will be 28 units apart. (43 - 71)
D) If A moves 10 units to the right, and B moves 10 units to the left, the points will be 4 units apart. (59 - 55)
e) If A moves 12 units to the right, and B moves 12 units to the left, the points will be 0 units apart.
f) A moved units to the left, B moved the same number of units to the right, and the points became 48 units apart.
Where Can Subtraction Be Used?We frequently employ subtraction in our daily lives. Subtraction is used, for instance, to determine how much money was spent on the products we purchased, how much money is still in our possession, or how much time is left to complete a task.
Subtraction can be applied in a variety of real-world situations.
Assume you had five apples and your friend had three. The number of remaining apples may be determined by subtracting: 5 - 3 = 2. Therefore, you are left with 2 apples. Similar to the previous example, if a class has 16 students, 9 of them are girls, we can determine the number of boys in the class by deducting 9 from 16. (16 - 9 = 7). There are 7 lads in the class, as far as we know.
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Help plz:)))I’ll mark u Brainliest
Answer:
scale factor = 1.5
Step-by-step explanation:
15 / 10 = 1.5
10 * 1.5 = 15
Write the equation of the line that passes through the points (-2,-8)(−2,−8) and (9,8)(9,8). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
The equation of a line is y + 8 = 16/11 (x + 2).
Here we have to find the equation of a line which are passing through points (-2, -8) and (9, 8).
Slope of a line = \(\frac{y_{2} - y_{1} }{x_{2}- x_{1} }\)
(\(x_{1} , y_{1}\)) = (-2, -8)
(\(x_{2} , y_{2}\)) = ( 9, 8)
The slope(m) = \(\frac{8-(-8)}{9-(-2)}\)
= 16/ 11
The equation of a straight line is:
y - \(y_{1}\) = m(x - \(x_{1}\))
The point (\(x_{1} , y_{1}\)) = ( -2, -8)
y - (-8) = 16/11( x -(-2))
y + 8 = 16/11(x + 2)
Therefore the equation of a line is y + 8= 16/11( x +2).
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Consider this function.
f(x) = |x – 4| + 6
If the domain is restricted to the portion of the graph with a positive slope, how are the domain and range of the function and its inverse related?
If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.
The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.
If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.
The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).
The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.
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Someone out here know the answer?
Answer:
k = -5
Step-by-step explanation:
f(9) = 2/3*9 +k
f(9) = 6+k
k = -5
What is the solution to the equation? 3(x + 9)^3/4 = 24 HINT: It's not B.
A. -3
B. 6
C. 7
D. 25
Answer:
C.?
Step-by-step explanation:
Hope this helps?
Step-by-step explanation:
\(3 {(x + 9)}^{ \frac{3}{4} } = 24\)
\(3 {(x + 9)}^{\frac{3}{4} } - 24 = 0\)
\((3 \times \frac{ {(x + 9)}^{3} }{4} ) - 24 = 0 \\ { \frac{3(x + 9)}{4} }^{3} - 24 = 0 \\ \)
\(\frac{ {3(x + 9)}^{3} - 96}{4} = 0 \\ \frac{3 {x}^{3} + 81 {x}^{2} + 729x + 2091 }{4} = 0 \\ 3{x}^{3} + 81 {x}^{2} + 729x + 2091 = \\ \frac{ 3( {x}^{3} + 27 {x}^{2} + 243x + 697)}{4} = 0 \\ \\ {x}^{3} + 2 {x}^{2} + 243x + 697 = 0 \\ \\ x = - 5.825\)
x=(-5.825, -10.587, -10.587)
Archie bought 100 shares of stock in an ice cream company 2 years ago. He paid $60.65 per share. He just sold all of his shares for $67.68 per share. How much did he gain?
Answer:
Step-by-step explanation:
First, we need to find the difference between the price that he sold the shares for and the price that he bought them at: (67.68-60.65) = 7.03
That means that there was a gain of $7.03 per share for Archie.
That being said, since Archie bought 100 shares, we can multiply that number by 100 to find the total gain from selling the shares:
(7.03x100)= 703
The answer then is:
Archie gained $703 from selling all of his shares.
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Which set of fraction bars shows two equivalent fractions?
Answer:
The middle! Please vote Brainliest!
Step-by-step explanation:
Answer:
The middle choice
Step-by-step explanation:
The bars go the same amount foward
Brandon is going to paint a wall that measures 10
meters tall by 13 meters wide. The wall has three
windows that are 1.5 meters wide by 2 meters tall.
What is the area of the wall that he is going to
The area of the wall that he is going to paint will be 121 m².
What is a rectangle?It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by a rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that, Brandon is going to paint a wall that measures 10 meters tall by 13 meters wide. The wall has three windows that are 1.5 meters wide by 2 meters tall.
The area of the wall,
= 10 × 13
=130 m²
The area occupied by the windows,
=1.5 × 2
= 3 m²
If there are three windows, Area is occupied by the windows,
A'= 3×3
A'=9 m²
The area needed to paint is found as,
=13
The area of the wall that he is going to paint will be,
=130 - 9
=121 m²
Thus, the area of the wall that he is going to paint will be 121 m².
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Question 3(Multiple Choice Worth 2 points) (01.01 MC) What is seven hundred thousand one hundred eighty-two and nine thousandths written in expanded form 700,000+100 + 80 +2 +0.009 700,000+ 10,000+8,000 + 200 +0.9 7,000,000+ 100,000+ 9,000 + 80 +2 7,000,000+ 100,000+80,000 +2 +0.09
The number in an expanded form is 700,000 + 182 + 0.009
How to write the number in an expanded form?The number is given as:
seven hundred thousand one hundred eighty-two and nine thousandths
Next, we split the numbers:
seven hundred thousand = 700,000
one hundred eighty-two = 182
and nine thousandths = 0.009
Next, we add the numbers
700,000 + 182 + 0.009
Hence, the number in an expanded form is 700,000 + 182 + 0.009
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simplify the expression i^37
im pretty sure that it is
i
Answer:
i
Step-by-step explanation:
\( \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i\)
Periodic Deposit: $1000 at the end of each year Rate: 4.5% compounded annually Time: 11 years
The interest amount is $622.85
How to determine the interest amount?The given parameters are:
Principal, P =$1000 Rate, r = 4.5% compounded annually i.e. n = 1Time, t = 11 yearsThe interest amount is calculated as:
I = P(1 + r/n)^(nt) - P
This gives
I = 1000 * (1 + 4.5%/1)^(1 * 11) - 1000
Evaluate the products and the quotient
I = 1000 * (1 + 0.045)^(11) - 1000
Evaluate the sum
I = 1000 * (1.045)^(11) - 1000
Solve
I = 622.85
Hence, the interest amount is $622.85
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Use a calculator to find the natural logarithm, base e.
In 744.1
Answer:
6.612175434403215
Step-by-step explanation:
This one is quite easy to solve, depending on your calculator click shift over the log function and then natural log will pull up and then you just put in 744.1
Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
what is 999.09344471 rounded to the nearest square kilometer?
The nearest kilometers to 999.09344471 km is 1000 km.
Given value is 999.09344471 Km.
We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.
Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only the value after the decimal (934) is to be rounded off which is (900).
So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.
Again rounding off 999.900 km to nearest km so it becomes 1000 km.
The nearest kilometers to 999.09344471 km is 1000 km.
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A trader sold 90 oranges at 3 for GHC 0.75.
How much did she get from selling all the
oranges?
Answer:
GHC22.5
Step-by-step explanation:
90/3=30
30=0.75
30×0.75
=22.5
You invest $1800 in an account paying 6.3% interest compounded daily. What is the account's effective annual yield?
According to the concept of compound interest, the effective annual yield on your investment of $1800 at a 6.3% interest rate compounded daily is 6.49%.
To find the effective annual yield, we need to use the formula for compound interest:
A = P(1 + r/n)ⁿˣ
Where A is the amount of money at the end of the investment period, P is the principal amount invested, r is the annual interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.
In this case, we know that the principal amount P is $1800, the annual interest rate r is 6.3%, and the interest is compounded daily, which means that n is 365 (the number of days in a year). We need to find the effective annual yield, which is the total amount of interest earned in one year.
To calculate the effective annual yield, we can use the following formula:
Effective Annual Yield = (1 + r/n)ⁿ - 1
Plugging in the values, we get:
Effective Annual Yield = (1 + 0.063/365)³⁶⁵ - 1
Effective Annual Yield = 0.0649 or 6.49%
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Find the domain of the inverse function w-1 (x) . Express your answer as in inequality
Answer:
ANSWER
Step-by-step explanation:
Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.
If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).
For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.
Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.
rosa makes a small flower garden outside the clubhouse the area of the garden is 852 square meters if the length of the garden is 6 meters what is the width of the garden
Answer:
142 meters.
Step-by-step explanation:
Area can be found by multiplying length*width. This means that if you have an area, but no width, you can divide the area by the length, or vice versa. To get the answer, you divide 852/6 to get 142.
find the missing value so that the line passing through the 2 points has the given slope:
The foruma for calculating the slope of a line passing through two points is expresses as;
\(m\text{ = }\frac{y_2-y_1}{x_2-x_1}\)Given the coordinates (-20, y) and (-11, 15) with slope m = 0
Substitute the given parameters into the formula above and find y;
\(\begin{gathered} 0\text{ = }\frac{15-y}{-11-(-20)} \\ 0\text{ = }\frac{15-y}{-11+20} \\ 0\text{ = }\frac{15-y}{9} \\ \text{cross multiply} \\ 0\text{ = 15-y} \\ y\text{ = 15} \end{gathered}\)Hence the value of y is 15. Option C is correct
Genesis is older than Dylan. Their ages are consecutive integers. Find Genesis's age if
the product of their ages is 110.
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Answer:
Dylan is 10 years old, and Genesis is 11.
Step-by-step explanation:
If Genesis and Dylan's age are consecutive integers, and Genesis is older, we can represent their ages as:
Dylan's age: x
Genesis' age: x+1
This would mean Genesis is a year older than Dylan.
The product of their ages is 110.
We can write an equation:
x×(x+1)=110
x²+x=110 (Distribute x)
x²+x-110=0 (Move 110 to the other side)
You can solve this by the quadratic equation, by factoring or by completing the square
I'll solve it by the quadratic equation:
We must first find the coefficients a, b and c, and then plug it into the formula.
\(x = \frac{ - 1 + - \sqrt{ {1}^{2} - 4 \times 1 \times - 110} }{2 \times 1} \\ x = \frac{ - 1 + - \sqrt{1 + 440} }{2} \\ x = \frac{ - 1 + - 21}{2} \)
Since we have a ± symbol, we get 2 real solutions, x1 and x2.
x=-1±21/2
x1=-1+21/2
x1=20/2
x1=10
x2=-1-21/2
x2=-22/2
x2=-11
Since their age can't be negative, x2 can't be a solution, so Dylan's age must be 10, and Genesis' age must be 11.
Hope this helps, and let me know if you need help with another method to solve this problem!
A tortoise and a hare are competing in a 2000-meter race. The arrogant hare decides to let the tortoise have a 510-meter head start. When the start gun is fired the hare begins running at a constant speed of 8 meters per second and the tortoise begins crawling at a constant speed of 6 meters per second. -Let t represent the number of seconds that have elapsed since the start gun was fired. 1) Write an expression in terms of t that represents the hare's distance from the starting line (in meters) 2) Write an expression in terms of t that represents the tortoise's distance from the starting line (in meters) 3) Write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.
Answer:
1. 8t
2. 510 + 6t
3. 510 - 2t
Step-by-step explanation:
1. Since the hare moves at a speed of 8 metres per second, the distance it moves from the starting line is d = speed × time = 8t
2. Since the rabbit moves at a speed of 6 metres per second, and gets a head start of 510 metres, the distance it moves from the starting line is d = 510 m + speed × time = 510 + 6t
3. The distance the tortoise is ahead of the hare is thus, distance moved by rabbit - distance moved by hare in time, t.
d' = 510 + 6t - 8t
= 510 - 2t
Quadrilateral ABCD is a square and the length of BD¯¯¯¯¯ is 10 cm.
What is the length of AE¯¯¯¯¯ ?
Enter your answer in the box.
the length of AE¯¯¯¯¯ =
cm
The length of AE¯¯¯¯¯ is 5√2 cm.
Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.
Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.
Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.
In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal (the hypotenuse) is the same as the side length, s.
Applying the Pythagorean theorem:
s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2
100 = 2 * AE¯¯¯¯¯^2
AE¯¯¯¯¯^2 = 50
Taking the square root of both sides:
AE¯¯¯¯¯ = √50
Simplifying the square root:
AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm
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The width of a rectangle measures (4.3q - 3.1) centimeters, and its length
measures (9.6q-3.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
The expression that represents the perimeter and the of the rectangle is: 14.6q - 13.4.
What is the Perimeter of a Rectangle?A rectangle's perimeter if the length of its surrounding borders. Thus, the perimeter of a rectangle is the sum of all the length of the sides of the rectangle which can be calculated using the formula below:
Perimeter of a rectangle = 2(length + width).
Given the following:
Width of the rectangle = (4.3q - 3.1) centimetersLength of the rectangle = (9.6q - 3.6) centimetersTherefore, substitute the expression for the width and length of the rectangle into the perimeter of the rectangle formula:
Perimeter of rectangle = 2(9.6q - 3.6 + 4.3q - 3.1)
Combine like terms
Perimeter of rectangle = 2(7.3q - 6.7)
Perimeter of rectangle = 14.6q - 13.4
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Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
What is the area of this figure ???????????????
78
Step-by-step explanation: just add them all
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