Answer:
Technically, yes. It's called epsilon, which is defined as an infinitely small number. So
2 + epsilon is the smallest number greater than 2. But for practical purposes no there isn't.
00
Step-by-step explanation:Not without limits. You can always move the .1 one place further from the interring. For example,
2.1>2.01
and
2.01>2.001
So, unless there are a limited number of decimal spaces, you can continually add an infinite amount of zeros behind the decimal point, followed by a one.
If you use two or three decimal spaces as a standard in your class, then the smallest decimal greater than 2 would be 2.01 or 2.001, respectively.
Terrence is selling tulip bulbs for $0.35 per bulb and daffodil bulbs for $0.64 per bulb. He makes a 40% profit on the sales of tulip bulbs and a 45% profit on the sales of daffodil bulbs. He is trying to determine the number of tulip bulbs, x, and the number of daffodil bulbs, y, he will need to sell m a week to earn a profit of $1,200 for the week. Which of the following equations can Terrence use to make this determination?
a) 0.35x +0.64y=1200(0.40+0.45)
b) (0.40+0.45)(0.35x+0.64y)=1200
c) (0.40)(0.35)x + (0.45)(0.64)y = 1200
d) (0.35+0.64)(x+y) = 1200(0.40+0.45)
Answer:
c) (0.40)(0.35)x + (0.45)(0.64)y = 1200
Step-by-step explanation:
Profit on each tulip bulb is:
$0.35 + 40% = $0.35*0.40Profit on x amount of tulip bulbs:
(0.35)*(0.40)xSimilarly, profit on y amount of daffodil bulbs is:
(0.45)(0.64)ySince the target is $1200, the required equation is:
(0.40)(0.35)x + (0.45)(0.64)y = 1200Correct answer option is C)
28 1/2% covert the percent to a decimal
Answer:
0.285
Step-by-step explanation:
To do this, divide 28 1/2% by 100%, obtaining:
28.5%
---------- = 0.285
100%
help will give brainliest
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So the "back" of the arrow is on/above -20.
The arrow points to -12.
You added something to -20 to get to -12.
So the first number is -20. You added ? to get -12. -12 is the last number / the answer to the equation.
So the equation from what you have so far is -20 + ? = -12
You need to isolate the ? so that you know what it is.
So to get rid of the -20 (make it 0), you have to add 20. -20 plus 20 equals 0, which basically means it is gone. You also have to add 20 to -12. 20 plus -12 equals 8.
Now the equation is ? = 8.
So you know that the second number is 8.
The equation makes sense; -20 + 8 = -12.
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Simplify (3a) (a^-3) =
Answer:
3 a^(-2)
3 / a^2
Step-by-step explanation:
(3a) (a^-3)
Multiply
3 a^1 * a^-3
Since we are multiplying, we add the exponents
3 a^ ( 1-3)
3 a^(-2)
If you are not supposed to leave a negative exponent
x^-b = 1 / x^b
3 / a^2
- 1/2 (-5/6 + 1/3) simplified
Help ASAP please!!!!!!
Answer:
22.4cm
Step-by-step explanation:
Opposite side of the triangle is x
Adjacent side of the triangle is 10
Tangent 20° = x/10
2.237 = x/10
x = 2.237 × 10
x = 22.37cm
x = 22.4cm to the nearest tenth
Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn’t won’t more than 20 bags list the possible ways she can fill the bag
Answer:
[tex]1.073\times 10^{19}\ \text{ways}[/tex]
Step-by-step explanation:
It is given that,
Total no of candy are 84
She want to divide the candy up evenly and place into bags but doesn’t won’t more than 20 bags.
We need to find the possible ways she can fill the bag. It mean that this problem is based on the concept of combination.
[tex]^{84}C_{20}=\dfrac{84!}{20!(84-20)!}\\\\=\dfrac{84!}{20!64!}\\\\=1.073\times 10^\\{19}[/tex]
There are [tex]1.073\times 10^{19}\ \text{ways}[/tex].
What number is 1/10 of 10?
Answer:
Hey there!
1/10 of 10 is 1.
Your answer is 1.
Hope this helps :)
Answer:
1
Step-by-step explanation:
Simplify the following:
10/10
Hint: | Divide 10 by 10.
10/10 = (10×1)/10 = 1:
Answer: 1
Heather earns $8.00 per hour for walking a dog. How many hours must she work to earn $188.00?
Answer:
23.5
Step-by-step explanation:
Write an equation to find the missing angle in the triangle. Remember all the angles of a triangle add up to 180 degrees. The full question is in the picture.
Will mark brainliest
Answer:
A
Step-by-step explanation:
12x-8/4 divide
12x/4 = 3x
-8/4 = -2
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{3x - 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{12x - 8}{4} }[/tex]
Factor out 4 from the expression
⇒[tex] \sf{ \frac{4(3x - 2)}{4} }[/tex]
Reduce the fraction with 4
⇒[tex] \sf{3x - 2}[/tex]
Hope I helped!
Best regards! :D
Johnson's Household Products has a division that produces two sizes of bar soap. The demand equations that relate the prices p and q (in dollars per hundred bars), to the quantities demanded, x and y (in units of a hundred), of the 3.5-oz size bar soap and the 5-oz bath size bar soap are given by p = 80 - 0.01x - 0.005y and q = 50 - 0.005x - 0.015y. The fixed cost attributed to the division is exist10,000/week, and the cost for producing 100 3.5-oz size bars and 100 5-oz bath size bars is exist8 and exist12, respectively.
(a) What is the weekly profit function P(x, y)? P(x, y) =
(b) How many of the 3.5-oz size bars and how many of the 5-oz bath size bars should the division produce per week to maximize its profit? 3.5-oz bars 5-oz bars What is the maximum weekly profit?
Answer:
The weekly profit function P(x,y) = 72x - 0.01x² -0.005xy + 38y - 0.005xy -0.015y² - 10000
3.5 oz bars = 3560
5 oz bars = 80
The maximum weekly profit = 119680
Step-by-step explanation:
Given that:
the demand functions are p and q
the variable cost of x = 8x and the variable cost of y = 12y
Since the fixed cost attributed to the division is exist 10,000/week
∴ the total cost C = 8x + 12y + 10000
R(x,y) = p(x) + q(y)
where ;
xp(x) = 80x -0.01x² -0.005y
yqz(y) = 50 -0.005x -0.015y²
R(x,y) = 80x -0.01x² -0.005xy + 50y -0.005xy -0.015y²
The weekly profit function P(x,y) = R(x,y) - C
P(x,y) = 80x -0.01x² -0.005xy + 50 -0.005xy -0.015y² - ( 8x + 12y + 10000)
P(x,y) = 80x -0.01x² -0.005xy + 50 - 0.005xy -0.015y² - 8x -12y - 10000
P(x,y) = 72x - 0.01x² -0.005xy + 38y - 0.005xy -0.015y² - 10000
(b) How many of the 3.5-oz size bars and how many of the 5-oz bath size bars should the division produce per week to maximize its profit?
profit will be maximized if:
[tex]\dfrac{\partial P}{\partial x} =0 \ and \ \dfrac{\partial P}{\partial y} =0[/tex]
given that:
[tex]\dfrac{\partial^2 P}{\partial x^2} < 0 \ and \ D >0[/tex]
where;
D = Px Py -Pxy²
Now;
[tex]\dfrac{\partial P}{\partial x} =(-0.02 x -0.01 y +72)[/tex]
[tex]\dfrac{\partial P}{\partial y} =(-0.03 x -0.01 y +38)[/tex]
[tex]\dfrac{\partial P}{\partial x} =0 \to 2x+y = 7200[/tex]
[tex]\dfrac{\partial P}{\partial y} =0 \to x+3y = 3800[/tex]
2x + y = 7200
2x + 6y = 7600
5y = 400
y = 400/5
y = 80
From
x + 3y = 3800
x + 3(80) = 3800
x = 3800 - 240
x = 3560
∴ 3.5 oz bars = 3560
5 oz bars = 80
What is the maximum weekly profit?
The maximum weekly profit = 72x - 0.01x² -0.005xy + 38y - 0.005xy -0.015y² - 10000
The maximum weekly profit = 72(3560) - 0.01(3560)² -0.005(3560)(80) + 38(80) - 0.005(3560)(80) -0.015(80)² - 10000
The maximum weekly profit = 256320 - 126736 - 1424 + 3040 - 1424 -96 - 10000
The maximum weekly profit = 119680
I need all the help I can get! Please!
Answer:
See below.
Step-by-step explanation:
Triangle:
The area for a triangle is given by the formula:
[tex]A=\frac{1}{2}bh[/tex]
Where b is the length of the base and h is the vertical height.
We can see that the base length is (2x+4) and the height is (x+3). So, the expression for the area would be:
[tex]\frac{1}{2}(2x+4)(x+3)[/tex]
Rectangle:
The perimeter of a rectangle is given by the formula:
[tex]P=2l+2w[/tex]
Where l is the length and w is the width.
We can see that the length is 2x-1 and the width is 3x+2. Thus, the perimeter is:
[tex]2(2x-1)+2(3x+2)[/tex]
For the area, the formula is:
[tex]A=lw[/tex]
So, the expression for area would be:
[tex](2x-1)(3x+2)[/tex]
Rectangular Prism:
The volume for a rectangular prism is given by the formula:
[tex]V=lwh[/tex]
The length is (x+2), the width is (x), and the height is (2x+1). Thus:
[tex]x(x+2)(2x+1)[/tex]
Use the numerals 1,7,7,7, and 7 to create the number 100
Answer:
[tex]77\div.77\cdot1[/tex]
Step-by-step explanation:
What we're basically looking for here are ways to get 100 using these numbers.
My immediate first thought was "can we divide the 7's by some 7's to get 100?"
I know that [tex]7 \div .7=10[/tex], so I had the idea to make it [tex]77 \div .77 = 100[/tex]. This means that we can use the number 7 four times in the equation [tex]77 \div .77=100[/tex].
However, we're still missing a 1 that we need to include. This is easy, we can just multiply [tex]77 \div .77[/tex] by 1.
So in conclusion, we get [tex]77 \div .77\cdot1[/tex]
Hope this helped!
Answer:
177 - 77 = 100
Step-by-step explanation:
there are basically 4 7s
77-77 = 00
177 - 77 = 100
hope this helps （＾▽＾）
Take 4a-3b+2c from 2a-3b+4c
Answer:
2a-6b+6c
Step-by-step explanation:
Combine like terms
Answer: -2a + 2c
Step-by-step explanation:
The situation is saying that subtract 4a-3b+2c from 2a-3b+4c.
(2a-3b+4c) - (4a - 3b +2c) Subtract by terms
-2a + 2c
The Rockwell hardness index for steel is determined by pressing a diamond point into the steel and measuring the depth of penetration. For 50 specimens of an alloy of steel, the Rockwell hardness index averaged 62 with standard deviation 8. The manufacturer claims that this alloy has an average hardness index of at least 64. Is there sufficient evidence to refute the manufacturer’s claim at the 1% significance level?
AY
Which best describes the association of this
scatterplot?
linear, weak
O linear, strong
O nonlinear, weak
O nonlinear, strong
A.) linear,weak
just got it right on edge 2020
The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.
What is a scatter plot?Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.
In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are created to plot data points on both horizontal and vertical axis.
A set of dots plotted on an azimuth and elevation axis is known as a scatter plot. Given that they can demonstrate the degree of connection, if any, in between values of measured quantities or events, scatter plots are crucial in statisticians (called variables).
The best describes the association of this scatterplot will be linear, and weak. Then the correct option is A.
More about the scatter plot link is given below.
https://brainly.com/question/13984412
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Leila's father used six-tenths of a full tank of gasoline on their trip. Nine gallons were used.
About how many gallons does the tank hold?
Answer:
15
Step-by-step explanation:
if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten
Answer:
D): 15
Step-by-step explanation:
if 6/10 = 9 gal. then we can divide 9 by 6 and then multiply that answer by ten
Y=2x+2 graph the equation using the slope and y-intercept
Answer:
See graph attached
Step-by-step explanation:
Our life is simple because the equation [tex]y=2x+2[/tex] is already put in slope-intercept form.
This form is called slope-intercept because it states exactly what it's called: The number multiplied by [tex]x[/tex] (the constant of proportionality, in this case, 2) is the slope - and the y-intercept is what is being added to the equation (in this case, also 2, since there is a +2 at the end.)
With this info, we can start graphing.
We know that the y-intercept is 2, meaning one point will be (0,2).
We also know that the slope is 2, meaning every time x increases by 1, y will increase by 2. So the next point is (1, 4), the next is (2, 6), and so on.
Hope this helped!
The graph of the function y = 2x + 2 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 2x + 2
The above function is a linear function that has been transformed as follows
Slope = 2y-intercept = 2Next, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
Read more about functions at
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What is the inverse of the function f(x) = 2x + 1?
Answer
f(x)-1 =
x/2 - 1/2
Answer:
Step-by-step explanation:
1. Rewrite the given function as y = 2x + 1.
2. Interchange x and y: x = 2y + 1
3. Solve this result for y: 2y = x - 1, or y = (1/2)(x - 1)
This last result is the desired inverse function.
K=C+273 What is C in terms of K?
Answer:
K-273=C
Step-by-step explanation:
K=C+273
Subtract 273 from each side
K-273=C+273-273
K-273=C
using any
combination of quarters, dimes, nickles,
pennies how many way
can you make
50 cents?
Answer:
49
Step-by-step explanation:
2 quarters
1 quarter, 2 dimes, 1 nickel
1 quarter, 1 dime, 3 nickels
1 quarter, 5 nickels
5 dimes
4 dimes, 2 nickels
3 dimes, 4 nickels
2 dimes, 6 nickels
1 dime, 8 nickels
10 nickels
10 ways without pennies. Pennies can be substituted for any quarter, dime, or nickel, so ...
8 ways to have 5 pennies
7 ways to have 10 pennies
6 ways to have 15 pennies
5 ways to have 20 pennies
4 ways to have 25 pennies
3 ways to have 30 pennies
2 ways to have 35 pennies
2 ways to have 40 pennies
1 way to have 45 pennies
1 way to have 50 pennies
For an additional 39 ways with pennies.
There are a total of 10 +39 = 49 ways to make change for 50¢.
What is the measure of x? 37° 67° 97° 107°
Answer:
97°
Step-by-step explanation:
The angles of any quadrilateral will add up to 360°. Since we already know 3 out of the 4 angles (the bottom two are both 90°), we can easily find the measure of x.
[tex]90 + 90 + 83 +x = 360[/tex]
[tex]263 + x = 360\\\\x = 97[/tex]
Hope this helped!
Answer:
Value of x = 97 degrees
Step-by-step explanation:
In the given quadrilateral
One angle = 83
2 other angles = 90 degrees each
Sum of all the four angles in a quadrilateral = 360 (Angle Sum Property of quadrilaterals)
=>90+90+x+83= 360
=>180+83+x = 360
=> 263+x= 360
=>x= 360-263
=>x=97
You earned a 40% on your French quiz. How would you respond to "ça va?"
Answer:
D
Step-by-step explanation:
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______ A) 10.34 B) 4.61 C) 7.71 D) 8.01
Complete Question
Let R unrestricted and R restricted be 0.4366 and 0.4149 respectively. The difference between the 9) unrestricted and the restricted model is that you have imposed two restrictions. There are 420 observations. The F-statistic in this case is:_______
A) 10.34
B) 4.61
C) 7.71
D) 8.01
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The [tex]R^2_{unrestricted } = 0.4366[/tex]
The [tex]R^2_{restricted } = 0.4149[/tex]
The number of observation is n= 420
Generally the number of independent variables is k([tex]R^2_{unrestricted } , \ n \ \ and \ R^2_{restricted }[/tex]) = 3
Then the number of restriction is (i.e [tex]R^2_{unrestricted } \ and \ R^2_{restricted }[/tex]) is q = 2
Generally the F-statistics is mathematically represented as
[tex]F = \frac{\frac{R^2_{unrestricted } - R^2_{restricted}}{q} }{ \frac{(1- R^2_{unrestricted }) }{n-k-1} }[/tex]
substituting values
[tex]F = \frac{\frac{0.4366 -0.4149}{2} }{ \frac{(1-0.4366) }{420-3-1} }[/tex]
[tex]F = 8.01[/tex]
Evaluate k + np2
if k = 0.5, n = –3, and p = –2.
Answer:
12.5
Step-by-step explanation:
0.5+(-3)×(-2)×2
=0.5+12
=12.5
Value of equation, k + np² is -11.5
Given that;Value of equation = k + np²
And
k = 0.5
n = -3
p = -2
Find:Value of equation
Computation:Value of equation = k + np²
And
k = 0.5
n = -3
p = -2
So,⇒ k + np²
⇒ 0.5 + (-3)(-2)²
⇒ 0.5 + (-3)(4)
⇒ 0.5 - 12
⇒ -11.5
Value of equation, k + np² is -11.5
Learn more:https://brainly.com/question/14431182?referrer=searchResults
It’s 11:50 am showtimeonclock
Answer: LOL
Step-by-step explanation:
Consider the tables that represent a continuous function and its inverse. Which is an accurate comparison of the functions? -9 0 0 27 3 36 12 63 f(x) 9 х – 12 f-1(x) -13 -3 -10 0 -9 6 -7 9 -6 ✓ The reciprocal of the slope of f(x) is the same as the slope of f1(x). The negative reciprocal of the slope of f(x) is the same as the slope of f'(x). The y-coordinate of the y-intercept of f(x) is the same as the y-coordinate of the y-intercept of f'(x). The opposite of the y-coordinate of the y-intercept of f(x) is the same as the x-coordinate of the x-intercept of f'(x). Submitted
Answer:
the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x)
Step-by-step explanation:
To find the equation of a line given two points, we use the formula:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
The standard equation of a line is given by:
y = mx + c; where m is the slope of the line and c is the intercept on the y axis
For the function f(x), we have to select two points, let us select (-6, 9) and (0, 27)
Hence the equation of the line f(x) is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-9=\frac{27-9}{0-(-6)}(x-(-6))\\ \\y-9=\frac{18}{6} (x+6)\\\\y-9=3(x+6)\\\\y-9=3x+18\\\\y=3x+18+9\\\\y=3x+27\\[/tex]
Comparing y = 3x + 27 with y = mx + c, we can see that the slope (m) = 3 and the y intercept is 27
For the inverse function f⁻¹(x), let us use the points (-3, -10) and (0, 9)
Hence the equation of the line f⁻¹((x) is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-10)=\frac{-9-(-10)}{0-(-3)}(x-(-3))\\ \\y+10=\frac{1}{3} (x+3)\\\\y+10=\frac{1}{3}x+1\\\\y=\frac{1}{3}x+1-10\\\\y=\frac{1}{3}x-9\\[/tex]
To find the x intercept put y = 0
0 = (1/3)x - 9
(1/3)x = 9
x = 27
Comparing y = (1/3)x - 9 with y = mx + c, we can see that the slope (m) = 1/3 and the y intercept is -9
Hence, the reciprocal of the slope of f(x) is the same as the slope of f⁻¹(x) (i.e reciprocal of 3 = 1/3)
Answer: A
The reciprocal of the slope of f(x) is the same as the slope of f–1(x).
Step-by-step explanation:
You invested $19,000 in two accounts paying 4% and 8% annual interest, respectively.
If the total interest earned for the year was $1160, how much was invested at each rate?
The amount invested at 4% is $.
Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as : [tex]I= P * R *t[/tex]
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
seven times the sum of a number and three
Answer: The answer is 7 ( x + 3 ).
Step-by-step explanation:
So we are given in word-form this equation:
seven times the sum of a number and three
We can rewrite this as:
7 times ( number + 3)
This number can be rewritten as a variable. Take any variable of your pick. I'll use x because that's one of the most used variables.
7 ( x + 3 )
There you go! Finished.