The maximum length of the rectangular front is the highest length of the rectangular front, and the value is 128.1 feet
How to determine the maximum possible length?Let the dimension of the rectangular front be x and y.
Such that:
y = 2x
So, the area of the rectangular front is:
A = xy
[tex]A = 2x^2[/tex]
The surface area of the pyramid roof is:
A = 4bh
Where:
b = base =25
h = height =18
So, we have:
[tex]A = 4* 25 * 18[/tex]
[tex]A = 1800[/tex]
The total surface area of the figure is:
[tex]T = 1800 +2x^2[/tex]
The range of the cost of material is: $25 per square foot to $50 per square foot.
So, the maximum cost is:
[tex]50 * (1800 +2x^2) = 500000[/tex]
Divide both sides by 50
[tex]1800 +2x^2 = 10000[/tex]
Subtract 1800 from both sides
[tex]2x^2 = 8200[/tex]
Divide both sides by 2
[tex]x^2 = 4100[/tex]
Take the square root of both sides
x = 64.03
Recall that:
y = 2x
So, we have:
y = 2 * 64.03
y = 128.06
Approximate
y = 128.1
Hence, the maximum possible length of the rectangular front of the building is 128.1 feet
Read more about maximum area at:
https://brainly.com/question/19819849
Answer: 82
Step-by-step explanation:
If the expression 4x+3 is equal to 1 to the same value of x, what is the expression 4x+8 equal to for the same value of x？
Answer:
6
Step-by-step explanation:
4x + 3 = 1
4x =-2
x = -1/2 so 4x +8 =4(-1/2) +8=6
Find the area of the figure. (Sides meet at right angles.)
9 in
in
5 in
B in
4 in
Answer:
48 in²Step-by-step explanation:
A1 = 9 x 4 = 36
A1 = 4 x 3 = 12
Total = 36 + 12
= 48 in²
formula for calculating average speed
Which answer choices fit in the pattern below? Select all that apply.
18, 28, 38, ___, ___, ___
BTW I DONT WANT TO DO THIS SO TY FOR WHOEVER DOES IT
Answer:
18,28,38,48,58,68
Step-by-step explanation:
You are adding by 10 every time
4 1/3 x 3/5 express your awnser in simplest form.
Answer:
2 3/5
Step-by-step explanation:
A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour
Answer:
16 cups of water
4. The cost of a long-distance telephone call is $.50 for making the call and $.10 per minute. What is the slope? What does it represent?
$$$$$$$$$$$$$$$$$$$$$$$$$$
what is three times three
Answer:
9
Step-by-step explanation:
3x3=9
its nine bruhhhhhhhhhhhhh
what do you mean by '^' next to everything?
Answer:
power of for example 4 to the power of 2. 2 means square
which of the following describes controlled variables
A what you change for testing
B what you keep the same
C what you measure
Answer:
b, controlled variables are constant and unchanged
A controlled variable is what is held constant. When doing an experiment, it is ideal to only focus on one variable at a time while keeping everything else in check. This way you can compare two items effectively.
In contrast, a manipulated variable is one that is intentionally changed to see how it affects the subject. For example, if you're testing various fertilizers, then the fertilizer brand would be the manipulated variable. The soil, moisture, amount of sunlight, and other environmental factors are kept the same (each subject gets the same about of each) making them to be controlled variables.
3. Select two numbers that have 4 as their greatest
common factor. Mark all that apply.
12
Part
A 2,4
B
4,8
C
8. 12
D 8. 16
E
12. 24
I’m
Answer:
B and C
Step-by-step explanation:
All others have higher factors than 4
Answer:
B,(4,8) &C,(8,12)
Step-by-step explanation:
A,(2,4)=2=2
4=2^2(GCF of 2&4 is 2)
B,(4,8)=4=2^2
8=2^3(GCF of 4&8 is 4)
C,(8,12)=8=2^3
12=2^2*3(GCF of 8&12 is 4)
D,(8,16)=8=2^3
16=2^4(GCF of 8&16 is 8)
E,(12,24)=12=2^2*3
24=2^3*3(GCF of 12&24 is 12).
i hope it helps you
Solve 4,000 ÷ 80 = what
Answer:
50
Step-by-step explanation:
i asked alexa so yeaaa
How do you do this question?
=======================================================
Explanation:
f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.
f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.
f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.
--------------------
The conditions to use the integral test have been met. So we have to see if [tex]\displaystyle \int_1^{\infty}f(x)dx[/tex] converges or not.
Let's integrate and find out
[tex]\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\[/tex]
So we have
[tex]\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\[/tex]
Meaning that,
[tex]\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\[/tex]
If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression [tex]-\frac{1}{5b^5}+\frac{1}{5a^5}[/tex] will turn into [tex]\frac{1}{5}[/tex]
Therefore,
[tex]\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\[/tex]
Because this integral converges, this means the series [tex]\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}[/tex] also converges as well by the integral test.
Determine the range of the function.
y=1/4x^2 - 5
a.All real numbers.
b.All integers less than or equal to -5.
c.All integers greater than or equal to -5.
d.All real numbers greater than or equal to -5.
Answer:
[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]
Step-by-step explanation:
Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]
1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]
2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]
3). [tex]x_v=-\frac{b}{2a}[/tex]
[tex]=-\frac{0}{2(\frac{1}{4})}[/tex]
[tex]=0[/tex]
4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]
[tex]y_v=\frac{0^2}{4}-5[/tex]
[tex]=-5[/tex]
5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]
Please help me this is a big grade for me and I’m very confused on this whole page
Answer: 5) 2, -8, 32, _,_
I believe that it would be -64, then 128
Step-by-step explanation:
Bc its positive then negative and its being multiplied by -4 each time so when you mutiply a negative to a negative its a positive which is were the positives and negatives come from. :)
URGENT!!!!!!!!!!! 25
Answer:
Geometry so easy
Step-by-step explanation:
You can do it..
Can someone please help me
Problem 1
Answer: Choice B) x = -2------------------
Explanation:
Add the equations straight down.
The x terms add to 5x+(-3x) = 2x
The y terms cancel out since 3y+(-3y) = 0y = 0
The right hand sides add to -7+3 = -3
After adding the equations you should get 2x = -4 which solves to x = -2
=====================================================
Problem 2
Answer: y = 4------------------
Explanation:
Since 5x = 0, this means x = 0 after dividing both sides by 5.
Use this to find y
y = -4x+4
y = -4(0)+4
y = 4
If you want the value of z, then
x = -3y+z+6
0 = -3(4)+z+6
0 = z-6
6 = z
z = 6
A factory makes sheets of metal that are 4 5/8 inches thick. If a worker at the factory makes
a stack of 5 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.
The width of a rectangle is 5 times the length. If the perimeter is 72, find the dimensions of the rectangle.
Answer:
l=6
b=30
Step-by-step explanation:
b=5l
perimeter= 72
2(l+b)= 72
l+b= 36
l+5l= 36
6l= 36
l= 6
b=5l= 6*6= 30
What is X- y= 3 in a graph
Answer:
You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1
How to graph:
x-0 y- -3 or (0,-3)
x- 3 y-0 or (3,0)
If you graph these points you should get your graph
please gyus help me out ..... urgent need......for 20 points please gyus answer it .....
Answer:
I wish I could help you but i have not learn yhat yet. so sorrry :( pleaser forgive jme....... please i beg u plase
Step-by-step explanation:
The sum of three consecutive integers is 42. Determine the value of the smallest
integer.
Answer:
13.
Step-by-step explanation:
[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]
Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]
How can i use multiplication/division to calculate a percent of a number?
Answer:
for example you are given a percentage and numbers you cross multiply
Step-by-step explanation:
hope it helps cause I don't know how to explain the answer
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.74
before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the
discount, what is the total cost of the meal? Round your intermediate calculations and answer to thenearest cent.
Answer:
it is 82.53 round to 82.50 ithink
A class of 28 students has four more than two times as many
boys as girls. How many of the students are girls?
Answer:
there are 8 girl students
Step-by-step explanation:
28-4= 24
28 divided by 3 is 8
8x2=16
16+4=20
20+8= 28
therefore... there are 8 girls in the class
What is the prime number?
Answer:
In math, prime numbers are whole numbers greater than 1, which have only two factors – 1 and the number itself. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7, and 11 are the first few prime numbers.
Step-by-step explanation:
hope this helps :)
the question is in the picture can someone PLSSS answer!!!
i will mark brainliest!!
Answer:
the third one im pretty sure
Step-by-step explanation:
2. Mr. Winter is putting away
48 chairs. He can put away
the chairs in stacks of 10 or
as single chairs. What are all
of the ways Mr. Winter can put
away the chairs?
Wh
he can make 4 stacks, leaving 8 chairs as single chairs
Bella is in school at math class. Her teacher, Mrs. Williams asks her "What's 9-3 divided by 1/3 + 1 equal to?" help Bella answer the question without using a calculator.
Which equation has no solution
Answer:
d
Step-by-step explanation: