Answer:
Joe Biden
Step-by-step explanation:
Answer:
El presidente actual de los Estados Unidos es Joe Biden
Step-by-step explanation:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yx. What are the dimensions of the rectangle with the maximum area? What is that area?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, the complete question is:
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y 81-x², what are the dimensions of the rectangle with the maximum area? what is the area?
Solution:
Given the parabola:
y = 81 - x²
Let the points (a,0) and (-a, 0) be points on the axis, this points touch the parabola at (a, 81 - a²) and (-a, 81 - a²).
Points (a,0), (-a, 0), (a, 81 - a²), (-a, 81 - a²) form the rectangle.
The length of rectangle = distance between (a,0) and (-a, 0) or between (a, 81 - a²) and (-a, 81 - a²) = 2a
The breadth of rectangle = distance between (a,0) and (a, 81 - a²) or between (-a, 0) and (-a, 81 - a²) = 81 - a²
Area of rectangle (A) = length × breadth = 2a × (81 - a²) = 162a - 2a³
A = 162a - 2a³
The maximum area is at dA / da = 0
dA / da = 162 - 8a² = 0
162 - 6a² = 0
6a² = 162
a² = 27
a = 5.2 units
Length = 2a = 2(5.2) = 10.4 units
Breadth = 81 - a² = 81 - 5.2² = 54 unit
Area = length × breadth = 54 × 10.4 = 561 unit²
9a + 8 - 20-3-50
Answer
Answer:
9a-65
Step-by-step explanation:
simply write 9a+(add the remaining numbers all together)
Luke likes running. He runs 2 1⁄2 miles every 1⁄2 hour. Complete the table to find out how far he runs in each time interval. Which one shows his unit rate (miles per hour)?
Profit is revenue minus expenses. If your profit is $3,000 and your revenue is $50,000, what are your expenses?
a) $45,000
b) $46,000
c) $47,000
d) $48,000
The expenses with the given profit and revenue is $47,000. Therefore, option C is the correct answer.
Given that, the profit is $3,000 and the revenue is $50,000.
What is gain or profit?The profit or gain is equal to the selling price minus the cost price. Loss is equal to the cost price minus the selling price.
Here, Profit = Revenue - Expenses
3000 = 50000 - Expenses
⇒ Expenses = 50000-3000
= 47000
The expenses with the given profit and revenue is $47,000. Therefore, option C is the correct answer.
To learn more about the gain visit:
https://brainly.com/question/18291961.
#SPJ2
A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y-7= -4/3 (x+6)
y-7= -4/3x-8
add 7 to both sides
y= -4/3x-1
The equation in slope-intercept form for the given line is 3y = -4x -3
What is Equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that a line passes through the point (-6,7) and has a slope of -4/3.
Standard equation of a line = y = mx + c where m is the slope,
Therefore, putting values of x and y to get the value of c
7 = -6*-4/3 + c
c = 7 - 8
c = -1
Equation = y = -4x/3 -1
Or, 3y = -4x -1
Hence, the equation of a line passing through the point (-6,7) and has a slope of -4/3 is 3y = -4x -1
For more references on Equation, click;
https://brainly.com/question/10413253
#SPJ2
The table below represents a linear function. Determine the missing values in the table using the function rule.
Answer: In order: 25, 15, 67.
Step-by-step explanation:
In picture
Helpppppppp pleaseeeee
Answer:
108 cm^2
Step-by-step explanation:
A= 1/2 b×h
so
1/2 12×18
Please answer this correctly without making mistakes
Answer:
The answer is $0.07 cents per inch
Step-by-step explanation:
If you take 6 feet into inches (72)
and divide the total cost by the amount of inches (5.04 / 72)
You get the answer
RT = ___
RS = RU...Reason?
RT = ___ and Reason?
RST = RUT...Reason?
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
There are a total of 120 bicycles and tricycles in a shop. There are 302 wheels in allmany bicycles and how many tricycles are in the shop?
Answer: There are 62 tricycles in the shop.
Step-by-step explanation:
Given: Number of wheels in a bicycle = 2
Number of wheels in a tricycle = 3
Let x = Number of bicycles , y = Number of tricycles.
As per given , we have
x+y =120 (i)
2x+3y=302 (ii)
Multiplying 2 on both sides of (i)
2x+2y=240 (iii)
Subtract (iii) from (ii) , we get
y= 62
Put value of y in (i) , we get
[tex]x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58[/tex]
Hence, there are 58 bicycles and 62 tricycles in the shop.
Given h(x) = 2x+3, find x when h(x) = 13.
a) 8
b) 29
c) 18
d) 5
Simplify the expression using order of operations.
5×2+32
Answer:
42
Step-by-step explanation:
start with the first 5x2 then add
Answer:
42
Step-by-step explanation:
5×2+32
10+32
42
What is the difference between a tax credit and a tax deduction?
Answer:
A deduction can only lower your taxable income and the tax rate that is used to calculate your tax. This can result in a larger refund of your withholding. A credit reduces your tax giving you a larger refund of your withholding, but certain tax credits can give you a refund even if you have no withholding.
Step-by-step explanation:
A homeowner has $360 to spend on building a fence around a rectangular garden. Three sides of the fence will be constructed with wire fencing at a cost of $2 per foot. The fourth side is to be constructed with wood fencing at a cost of $6 per foot. Find the dimensions of the rectangle that will maximize the area of the rectangle.
Answer:
The width is 22.5 feet and the length 45 feet.
Step-by-step explanation:
Let l represent the length of the rectangle and w represent the width of the rectangle. The cost of the fence (C) is:
C = 2l + 2w + 2l + 6w
C = 4l + 8w
360 = 4l + 8w
360 = 4(l + 2w)
90 = l + 2w
l = 90 - 2w
Area (A) of rectangle = length * width
A = l * w
Put l = 90 - 2w
A = (90 - 2w)w
A = 90w - 2w²
The maximum area is at A' = 0, hence:
Differentiating gives:
A' = 90 - 4w
Put A' = 0
0 = 90 - 4w
4w = 90
w = 22.5 feet
l = 90 - 2w = 90 - 2(22.5) = 45 feet
Hence the width is 22.5 feet and the length 45 feet.
3044 in base 5 to base 10
What is the angle of elevation?
Answer:
Step-by-step explanation:
tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°
6/root of 12. Rationalize the denominator
Answer:
Step-by-step explanation:
hi
[tex]\dfrac{6}{\sqrt{12}}=\dfrac{2\times 3}{\sqrt{2^2\times 3}}=\dfrac{3}{\sqrt{3}}=\sqrt{3}[/tex]
thanks
Look at the factors of 24 and 32.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
The GCE of 24 and 32 is
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
about how many 18s are there in 250?a.10 b.12 c.15
Answer:
C. 15
Step-by-step explanation:
It's 13.888 about 14, so 15 is the closest answer.
b
Step-by-step explanation:
taking 250÷18=13.88~
How are prism and cylinders are alike ?
Answer:
They are both 3 dimensional shapes. A cylinder is essentially a prism for a circle.
Step-by-step explanation:
Step-by-step explanation:
- They are both 3 dimensional
-They both have 2 bases
please help it’s due soon ): Find the slope of the line represented
by the data below.
Which of the following expressions is equivalent to 18 m - 12?
A. 021-9 m+6)
B. -1(18 m +12)
C. 6(3 m - 2)
D. -3(-6 m - 4)
Answer:
C and D
multiply the 6 and -3 to the numbers inside the parenthesis
How many pounds of walnuts that cost $6.50 per pound must be mixed with 7 pounds of cashews that cost $11 per pound to make a mixture of nuts that costs $8.60 per pound?
I need help with this question.
Answer:You will need to buy 1/2 a pound of cashews and 1/2 a pound of peanuts
What is the value of the function at x=−2?
Answer:
y = 3
General Formulas and Concepts:
Reading a Cartesian PlaneReading and labeling coordinatesStep-by-step explanation:
The question is asking us what the y-value is when x = -2.
According to the graph, when x = -2, y = 3.
Therefore, y = 3.
ANSWER PLS OR NOTHING WILL HAPPEN
Answer: 8
Step-by-step explanation:
Answer:
[tex]( - 4)( - 2) = \boxed{8}[/tex]
Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line
Answer:
An equation in standard form for the line is:
[tex]\frac{5}{2}x-y=-4[/tex]
Step-by-step explanation:
Given the points
(-2, -1) and (0, 4)The slope between two points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)[/tex]
[tex]m=\frac{4-\left(-1\right)}{0-\left(-2\right)}[/tex]
[tex]m=\frac{5}{2}[/tex]
Writing the equation in point-slope form
As the point-slope form of the line equation is defined by
[tex]y-y_1=m\left(x-x_1\right)[/tex]
Putting the point (-2, -1) and the slope m=1 in the line equation
[tex]y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+1=\frac{5}{2}\left(x+2\right)[/tex]
[tex]y=\frac{5}{2}x+4[/tex]
Writing the equation in the standard form form
As we know that the equation in the standard form is
[tex]Ax+By=C[/tex]
where x and y are variables and A, B and C are constants
so
[tex]y=\frac{5}{2}x+4[/tex]
[tex]\frac{5}{2}x-y=-4[/tex]
Therefore, an equation in standard form for the line is:
[tex]\frac{5}{2}x-y=-4[/tex]
Wait so add 25.50 +25.50
Log2(x-3)+log2x-log2(x+2)=2
We are given the equation:
log₂(x-3) + log₂x - log₂(x+2) = 2
When is it defined:
in this equation, log₂(x-3) and log₂(x+2) can only be defined when
x-3 >0 and x+2 > 0
solving for the values of x, we get:
x > 3 and x > -2
which basically means x > 3
Because we are looking for an inequality which is true for both x>-2 and x>3
Hence, x will have a value greater than 3
Solving for x:
using the product rule [logₐb + logₐc = logₐ(bc)]
log₂[(x-3)(x)] - log₂(x+2) = 2
using the quotient rule [logₐb - logₐc = logₐ(b/c)]
log₂[(x-3)(x) / (x+2)] = 2
from the property [ aˣ = b ⇒ logₐb = x]
(x² - 3x) / (x+2) = 2²
x² - 3x = 4x + 8
x² - 7x - 8 = 0
x² + x - 8x - 8 = 0
x(x+1) - 8(x+1) = 0
(x-8)(x+1) = 0
(x-8) = 0 OR (x+1) = 0
x = 8 OR x = -1
We know that the equation is defined only for x > 3
We can see that x = 8 satisfies that inequality
Therefore, x = 8
i need help with this plz i have no idea what to do
Answer:
When Item Price * (%) is < or > to $ Off
Step-by-step explanation:
simplify the given involving the indicated division.