Answer:
Step-by-step explanation:
each side of square=10/4=2.5
because all the vertices are in quarter |||
so all the coordinates are negative.
x coordinate=-0.5-2.5=-3
y coordinate=-2-2.5=-4.5
all the coordinates are (-3,-2) ,(-0.5,-2)
and (-3,-4.5),(-0.5,-4.5)
a grapefruit weight 3/4 of a kilogram. what is its weight in grams
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Explanation below. Enjoy!
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Personally, I think grapefruit is great. But that's unrelated. :)
You have to start with the values of kilograms and grams. So, here they are:
1 Kilogram = 1000 Grams
(For the record, the root kilo means 1000 in math.)
3/4 should be converted to decimals, so 0.75 is our number now.
0.75 kilograms = 750 grams
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Have a wonderful day/night!
(Please consider leaving a Brainly, it would help me greatly!)
~pinetreee
If given that :-
[tex] {\quad \leadsto \quad \bf f(\phi) = {\phi}^{2} - \phi - \displaystyle \bf \int_{\bf 0}^{1} f(\phi) d \phi }[/tex]
Then find :-
[tex] { \quad \leadsto \quad \displaystyle \bf \int_{0}^{2} f(\phi) d \phi }[/tex]
Integrate by parts with
[tex]u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi[/tex]
[tex]dv = d\phi \implies v = \phi[/tex]
to evaluate the integral in the definition of [tex]f[/tex].
[tex]\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16[/tex]
Now if [tex]\phi=1[/tex], we have
[tex]f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}[/tex]
and so
[tex]\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}[/tex]
It follows that
[tex]\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}[/tex]
1,058 written in expanded notation
Answer:
1,000+50+8
Step-by-step explanation:
Each place value is divided up into their separate values.
Put the following equation in slope-intercept form: y-1=2/7(x-4)
Answer:
[tex]y=\frac{2}{7} x-\frac{1}{7}[/tex]
Step-by-step explanation:
y=mx+b where y and x are variables, m is the slope and b is the y-int.
[tex]y-1=\frac{2}{7} (x-4)\\y=\frac{2}{7} x-\frac{2}{7} -1\\y=\frac{2}{7} x-\frac{1}{7}[/tex]
Hope that helps.
At the annual book fair, the students at water middle school found that they had $1,4888.80 in the cash register. Their teacher had given them a loan of 92.89 to buy supplies for the fair. What is the best estimate of the amount of money they had after they paid the money back to the teacher
Answer:
1395.91
Step-by-step explanation:
Subtract 1,488.80-92.89
If you want to round it up to a whole number then it would be 93.
If you want to round it up to the tenth then it would be 92.9.
PLEASE I NEED ANSWERS ASAP
1. Find the missing coordinate given m = -5 and goes through the points (x, 3) and (5, -7). Show your work.
2. Identify the slope in the equation 9x + 2y = -7. Show your work.
The required solution for the coordinate and the slope of the line, 1. missing coordinate is 2. Slope of the line 9x + 2y = -7 is m = -9/2
Here,
1.
Standard equation of the line,
y = mx + c
From the given, we have m = -5 and a point (5,- 7)
Now,
-7 = -5 * 5 + c
c = -7 + 25
c = 18
equation become
y = -5x + 18
Now putting y = 3
3 = -5x + 18
-15 = -5x
x = 3
So the required missing coordinate is (3, 3)
2.
Slope of equation 9x + 2y = -7
9x + 2y = -7
y = -9/2 -7/2
The coefficient of x is the slope of the equation. So,
m = --9/2
Thus, the required solution for the following problem of the line,
1. missing coordinate is
2. Slope of the line 9x + 2y = -7 is m = -9/2.
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The angle between 0 and 360 that is coterminal with the 2016 angle is ___ degrees
Answer:
216 degrees
Step-by-step explanation:
2016/360= 5.6 drop the 5
.6 x 360 = 216 °
In a certain instant lottery game, the chance of a win is stated as 15%. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.
The probability is (Round to two decimal places as needed.)
0.15% is the probability value between 0 and 1 inclusive.
In statistics, what does a probability mean?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.the fractional conversion of a percentage = % value /100
therefore the probability is 15/100 = 0.15%
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The ratio of soccer balls to basketball is 12 to 15 If there are 48 soccer balls how many basketball are there
Answer:
60Step-by-step explanation:
The ratio of soccer balls to basketball is 12 to 15 If there are 48 soccer balls how many basketball are there
we can solve with a proportion
12 : 15 = 48 : x
x = 15 * 48 : 12
x = 60
Adam and Kevin are roommates. Adam can clean their apartment in 45 minutes. Kevin can clean it in 60 minutes. Rounded to the nearest minute, how much time will it take if they work together?
Free Cash Flow 100 Growth rate 2% Tax Rate 1% Cost of Capital 5% Debt-to-total value 50% Given the data in the above table, what is the terminal value of the business (using the growing perpetuity formula)? Review Later 3400 3000 3366 3600
The terminal value of the business, using the growing perpetuity formula is 3,400
What is terminal value of the company?
The terminal value of the company refers to the cash flows attributable to the company's long-term growth period whose growth rate is 2%, in an investment appraisal context, it is the value of all cash flows beyond the horizon considered in the analysis
terminal value=Free Cash Flow*(1+terminal growth rate)/(cost of capital-terminal growth rate)
Free cash flow=100
terminal growth rate=2%
cost of capital=5%
terminal value=100*(1+2%)/(5%-2%)
terminal value=100*1.02/0.03
terminal value=3,400
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Solve for interval and set notation, please:3m-3 ≤m +9<5+2m
The range of m is 4 < m ≤ 6
The interval given is
3m - 3 ≤ m + 9 < 5 + 2m
So we have,
Here we have to find the range of m by separating two inequalities. Thus we get,
3m - 3≤ m + 9 and m + 9 < 5 + 2m
3m - m ≤ 9 + 3 and 2m - m > 9 - 5
2m ≤12 and m > 4
m ≤6 and m>4
So we get the range of m,
4 < m ≤ 6
Therefore we get the range of m as, 4 < m ≤ 6.
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if f(x)=ax^2+bx+c has zeros x=-11 and x=-13, what zeros does f(x-9) have?
If [tex]f(x)=0[/tex] at [tex]x=-11[/tex] and [tex]x=-13[/tex], then we can factorize
[tex]f(x) = ax^2 + bx + c = a (x + 11) (x + 13)[/tex]
Now,
[tex]f(x-9) = a((x-9)+11) ((x-9)+13) = a(x+2)(x+4)[/tex]
which means the zeros of [tex]f(x-9)[/tex] are [tex]x=-2[/tex] and [tex]x=-4[/tex].
Which equations are in standard form? Check all that apply y = 2x + 5 2x + 3y = –6 –4x + 3y = 12 y = x – 9 x + 3 = 6 x – y = 5 5x + 3y =
The equations which are in standard form include the following:
2x + 3y = -6.5x + 3y = 1/2.What is a linear equation?A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).
This ultimately implies that, the variables in all linear equations share a direct relationship and as such they are directly proportional to one another.
In Mathematics, the standard form of a linear equation is given by the following:
Ax + By = C.
In this context, we can reasonably infer and logically deduce that the equations which are in standard form include the following:
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What is standard deviation of 134.37
Answer:
If its 134, 37 its 48.5
Step-by-step explanation:
Use the linear regression feature on a graphing calculator to find an equation of the line of best fit for the data. Round each value in your equation to the nearest tenth.
The equation of line for the given data is y = 5x -1.
According to the given question.
We have a data of points for a equaton of line.
As we know that the standard equation of line is y = mx + b.
Where, m is the slope of line and b is the y intercept.
Since, the points which are given in the data must satisfy y = mx + b.
Therefore,
Lets take the points (1, 4) and (2, 9) and substitute it in y = mx + b to find the value of m and b.
At x = 1 and y = 4
4 = m + b ..(i)
And at x = 2 and y = 9
9 = 2m + b ..(ii)
From equation i and ii
m = 5
So, b = -5 + 4 = -1
Hence, the equation of line for the given data is y = 5x -1.
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Solve 2x-5=7
Please help
Evaluate the expression when a = 2 and x = - 6
6a -x
Answer:
18
Step-by-step explanation:
6(2) - (-6)
12 +6
18
what is the solution to x-15=-6
Answer:
x = 9
Step-by-step explanation:
[tex]x- 15 = -6\\\\[/tex]
Add 15 to both sides to isolate the x.
[tex]x -15 +15 = -6 +15\\x = 9[/tex]
Answer:
X=9
Step-by-step explanation:
You must add 15 to both sides of the equal sign to cancel out the (-15). You add -6+15 which equals 9.
What is the recursive formula for the perimeter of a square of side n(the nth perimeter) using the first number(perimeter) in the pattern?
Answer:
[tex]a_n=a_{n-1}+4\qquad a_1=4[/tex]
Step-by-step explanation:
You want the recursive formula that matches the sequence 4, 8, 12, 16, 20.
Recursive formulaYour problem statement tells you the recursive formula is ...
[tex]a_n=a_{n-1}+d\qquad a_1=\text{first term}[/tex]
where 'd' is the common difference.
This means you only need to identify the perimeter associated with n=1 (first term), and the difference between perimeters for adjacent values of n.
The table tells you ...
[tex]a_1=4\\d=8-4=4[/tex]
Filling these values into the given formula, you have the recursive formula ...
[tex]\boxed{a_n=a_{n-1}+4\qquad a_1=4}[/tex]
The equation of line c is y=1/8x+10. Line d is perpendicular to line c and passes through (–1,1). What is the equation of line d?
The equation of line d is y = -8x + 9
What is an equation of a line?The general form of the equation of a line with a slope m and passing through the point (a, b) is given by:
y - b = m ( x - a )
We have,
Equation of line c:
y = (1/8)x + 10
Line d is perpendicular to line c.
Since line d and line c is perpendicular their slope is given by:
[tex]m_{1} m_{2} = -1[/tex]
Where [tex]m_{1}~and ~m_{2}[/tex] is the slope of line c and line d.
Now,
[tex]m_{1}[/tex] = 1/8
And,
[tex]m_{2}[/tex] = -1 / (1/8) = -8
The equation of line d passes through (-1, 1) so the equation of line d can be written as:
y - 1 = -8 ( x - 1 )
y - 1 = -8x + 8
y = -8x + 8 + 1
y = -8x + 9
Therefore the equation of line d is y = -8x + 9
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Which of the following equations is of a parabola with a vertex at (1, -2)?
A. y=(x + 1)² +2
B. y=(x-1)² +2
C. y=(x + 1)²-2
D. y=(x-1)²-2
Answer:D
Step-by-step explanation:
Enclosed x-1 moves the parabola to the right once, and the excluded -2 puts the parabola down 2.
Suppose each side of
the inequality a − b < 0 is multiplied by c.
a. If c < 0 and c(a − b) > 0, write an inequality to
represent the relationship between a and b.
b. If c < 0, is c(a − b) always greater than 0?
Explain your reasoning.
The required solution is ca is less than cb.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
Suppose each side of the inequality a − b < 0 is multiplied by c.
According to given question we have
a. If c < 0
Each side of the inequality a − b < 0 is multiplied by c.
=c(a-b)<0
=ca-cb<0
=ca<cb
It should be clear that number that ca is less than cb.
Therefore, the required solution is ca is less than cb.
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The formula V=1/3 pi r to the second power h is the formula for the volume of a cylinder. To the nearest tenth, what is the height of a cylinder with volume 100 cm to the third power and radius 2 cm?
8 cm is the height of the cylinder.
What is a cylinder?Traditionally, a cylinder was a three-dimensional solid, one of the most fundamental curvilinear geometric shapes. It has been described geometrically as a prism with a circle as its base.This traditional viewpoint is still used in elementary geometry treatments, but the advanced mathematical viewpoint has shifted to the infinite curvilinear surface, which is now how a cylinder is defined in various modern branches of geometry and topology.The formula of Height for cylinder: h = V/πr²
Put the values in the formulas as:
h = V/πr²h = 100/π2²h = 7.95775Rounding off to the nearest tenth it's 8 cm.
Therefore, the height of the cylinder is 8 cm.
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write ____ as a single power of 6
Answer:
[tex]6^{7/2}[/tex]
Step-by-step explanation:
[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]
Can someone help me it geometry
The best-selling fruits at Joy's Fruit Shack are
peaches and bananas. During one month Joy
sold 398 peaches and 410 bananas.
$0.20
0.25
The total cost for both the fruits is $182.1
The shopkeeper is selling the peaches and bananas.
the cost for both is as follows:
For peaches it is $0.20
and, for bananas it is $0.25
Peaches = 398×0.20$
= $79.6
Bananas = 410×$0.25
= $102.5
The total cost is
= $79.6 + $102.5
= $ 182.1
The variable and fixed expenses of delivering commodities are combined to get a total using the total cost formula. Total cost is calculated as follows: (Average Fixed Cost x Average Variable Cost) x Units Produced.
Your cost function may like this, for example, if your variable costs for labor are fixed regardless of quantity but your variable costs for supplies vary based on the amount of each item: Total costs are calculated as fixed costs plus labor costs plus (unit count * material variable costs).
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Question
How should this model be completed to represent 377 ÷ 12?
Enter your answers in the boxes.
Using the Box model of division, the answer is attached below, and showing full results attached accordingly.
What does division represent?Suppose that we're talking about p÷ q
It means, we divide p into q into equal parts. And each part is of value p/q
The box model of division can be defined as One of the tactics of division is the Box Method, commonly known as the Area Model.
We have been given the division as 377 ÷ 12.
The box model of division is a mental math approach that will improve number sense comprehension.
The Students solve the equation by subtracting multiples until they will get zero, or as near to zero as they can.
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The complete question is
How should this model be completed to represent 377 ÷ 12? complete the boxes attached below.
How many solutions does this equation have? 3x + 1 = 3( x - 1) + 4
Answer:
infinite number
Step-by-step explanation:
3x + 1 = 3(x - 1) + 4
3x + 1 = 3x - 3 + 4
3x + 1 = 3x + 1
3x = 3x
x = x
x = x is true for every value of x, so the equation has an infinite number of solutions.
Write 55% as a decimal and as a simplified fraction?
Answer:
11/20
Step-by-step explanation:
To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.