Answer:
Maximum: 756
Minimum: 600
Step-by-step explanation:
A square is the shape that has the maximum area out of all possible rectangles of a given perimeter. This means that to create the maximum value of P, you will want the two parentheses to be as close in value as possible, and to create the minimum value, for them to have the biggest difference. 1+2+3...+10=55, which is not even, but can be divided as closely as possible into 27 and 28, which have a product of 756. This can be done in this problem in several ways, one of which is:
(1+3+5+8+10)(2+4+6+7+9)
For the minimum, the largest difference can be made when one term is full of the smallest numbers, and the other is full of the largest, or:
(1+2+3+4+5)(6+7+8+9+10)=600
Hope this helps!
Pls answer this correctly
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn?
Approximately 68%
Approximately 75%
Approximately 95%
99.7%
a builder has to fix 3 Walls that have fallen down.He needs 2kg of cement for each wall.How much will he need altogether in kilograms
Answer: 6 kilograms
Step-by-step explanation:
3 walls * 2 kilograms each = 6 kilograms in total
The expression sin^-1(4/5) has and infinite number of values. True or false?
It is indeed false.
[tex]\sin^{-1}x[/tex] is a function that takes values of [tex]x[/tex] between -1 and 1, and takes on values between -π/2 and π/2. Most importantly, it's a function that takes *one* value in its domain and assigns it to exactly *one* value in its range. Hence [tex]\sin^{-1}x[/tex] is one-to-one.
It's true that [tex]\sin x=\frac45[/tex] has infinitely many solutions, but [tex]\sin x[/tex] itself is not one-to-one.
Answer:
False
Step-by-step explanation:
Describe the solution of g(x) shown in the graph. parabola opening down passing through 0 comma 2, negative 1.5 comma 4.25, and negative 3.5 comma 0 All real solutions All negative solutions All whole number solutions All solutions that lie on g(x)
Answer:
(A)All real solutions
Step-by-step explanation:
Given the function g(x) shown on the graph
One of the points of the parabola is (-3.5, 0).
The point x=-3.5 is one of the solution of the parabola since it intersects the x-axis at that point.
The other point of intersection is on the positive side between 0 and 1.
Therefore, g(x) has two solutions: One negative real number and one positive real number.
Therefore, g(x) has all real solutions.
The correct option is A.
Answer:
All solutions that lie on g(x)
Step-by-step explanation:
I took the test and that's the correct answer...
Need help , can’t find this one
Someone please help me :( I’m struggling
Answer:
ax - by = k
Step-by-step explanation:
A literal equation is an equation made up of variables representing numbers that can be changed
ax - by = k is a literal equation because there are no numbers
Letters stand for each item
Anyone know how this can be solved?
Answer:
127.235cm^2
Step-by-step explanation:
A = πr²/2 = 40.5 * π [cm²] ≈ 127.235 [cm²]
Answer:
[tex]127.251 {cm}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times \pi {r}^{2} \\ \frac{1}{2} \times 3.142 \times 9 \times 9 \\ = \frac{254.502}{2} \\ = 127.251 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
a zoo has 15 toucans and 60 parrtos
Answer:
It has 75 birds
Step-by-step explanation:
Hope that's the answer since I can't get the question
What effect will replacing x with (x+7) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 7 units right B. slides the graph 7 units down C. slides the graph 7 units left D. shrinks the graph by a factor of 7
Answer:
C
Step-by-step explanation:
Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus y = (x + 7)²
represents a shift to the left of 7 units → C
The graph y = x² will slide the graph 7 units left by replacing x with (x+7) thus, the correct option is (C).
How to plot a graph?
In order to plot a graph, we have to substitute all the x's values into a function.
Find out the y's value corresponding to the x's and plot the graph in the coordinate geometry.
By the replacing x by (x + a) in the function y = f(x), the function is going to shift either left or right horizontaly.
1. If a is positive then the graph will slide left of the units.
2. If a is negative then the graph will slide right of the units.
Given that, y = x² is need to replace with y = (x+7)²
Since 7 is positive so the graph will slide 7 units left.
For more information about the graph
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shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $69
Answer: $96.60
Step-by-step explanation:
40% * 69 = markup price
0.4 * 69 = 27.6
Now add it to the wholesale price which is the price the store bought the shoes.
$27.6 + $69 = $96.60
or
100% + 40% = 140%
140% of 69 = ?
1.4 * 69 = $96.60
Use the quadratic formula to solve the equation. 9x2−7x+1=0 Enter your answers, in simplified radical form. x = x =
Answer:
[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]
Step-by-step explanation:
I'm not too good with the quadratic formula so I'm going to complete the square.
First divide everything by 9 and move the 1 to the other side.
[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]
Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.
[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]
Now you can factor it.
[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]
Square root:
[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]
[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]
Solve the system of linear equations by graphing.
2x + 3y = 16.9
5x = y + 7.4
What is the solution to the system of linear equations? Round to the nearest tenth as needed.
(
,
)
Answer:
The solution is shown in the graph.
x= 2.3
y= 4.3
Answer: x = 2.3 y = 4.1
Step-by-step explanation: I got it right on edge2020 y IS NOT 4.3 IT IS 4.1.
state what additional information is required in order to know that the triangles are congruent by SSS
Answer: d) DF ≅ JH
Step-by-step explanation:
Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.
Given: EF ≅HI
Given: DE ≅IJ
Missing: DF ≅ JH
Please I need help with this I’m stuck I need to get it right
Answer:
b
Step-by-step explanation:
find the volume of prism
pls!! show how you got the volume
Answer:
7.5
Step-by-step explanation:
Add each number then divide at the end
Question 14 (1 point)
John is collecting vintage baseball cards and has about 25 he got from his dad. He is collecting
about 2 cards per month. Write a function, C(x), that represents how many cards John has
after x months.
N
Answer:
C(x) = 25 + 2x
Step-by-step explanation:
He already has 25 cards.
He is collecting 2 cards per month. In x months, he will have collected:
2 * x = 2x cards
That means that the number of cards he will have after x months will be the sum of the cards he already has and the cards he collects per month:
C(x) = 25 + 2x
can 2x + 3y be simplified?
Answer:
no
Step-by-step explanation:
please help with this
Answer:
37
Step-by-step explanation:
Using the Pythagorean theorem:
[tex]x=\sqrt{12^2+35^2}=\sqrt{144+1225}=\sqrt{1369}=37[/tex]
Hope this helps!
why is 8.8 a rational number
Answer:
See below
Step-by-step explanation:
8 is classified as a rational number because it can be made into a fraction. 8.8 = 8 8/10 = 88/10
How to factor 3x^2-10x-8?
[tex]answer \\(x - 4)(3x + 2) \\ solution \\ {3x}^{2} - 10x - 8 \\ = {3x}^{2} - (12 - 2)x - 8 \\ = {3x}^{2} - 12x + 2x - 8 \\ = 3x(x - 4) + 2(x - 4) \\ = (x - 4)(3x + 2) \\ hope \: it \: helps[/tex]
Answer:
Step-by-step explanation:
Find the third side in simplest radical form
=========================================================
Work Shown:
We see that one of the legs is unknown. We'll call this 'a'.
The other leg is b = 2, which becomes b^2 = 4
The hypotenuse (always opposite the 90 degree angle) is c = sqrt(58). This turns into c^2 = 58 when you square both sides.
---------
Use the pythagorean theorem to get
a^2+b^2 = c^2
a^2+4 = 58
a^2 = 58-4
a^2 = 54
a = sqrt(54)
a = sqrt(9*6)
a = sqrt(9)*sqrt(6)
a = 3*sqrt(6)
The third side in simplest radical form is x=3[tex]\sqrt{6}[/tex]
RIGHT TRIANGLEA triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called cathetus or legs.
The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios, metric relationships, or the Pythagorean Theorem.
For solving this question, you need to apply the Pythagorean Theorem that says: (hypotenuse)²= (leg1)²+(leg2)².
The question gives:
Hypotenuse= [tex]\sqrt{58}[/tex]Leg1= 2Leg2= third side = unknowApplying the Pythagorean Theorem, you have:
([tex]\sqrt{58}[/tex])² = 2²+ x²
58=4+x²
x²=58-4
x²=54
x=[tex]\sqrt{54}[/tex]
x=[tex]\sqrt{2*3^3}[/tex]
x=[tex]\sqrt{2*3^2*3}[/tex]
x=3[tex]\sqrt{2*3}[/tex]
x=3[tex]\sqrt{6}[/tex]
Learn more about the Pythagorean theorem here:
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PLZZZZZZZZZZZZZZZZZZZ ANSWER THIS QUESTION I WILLL MARK BRAINLIEST
Answer:
Okay, so, your picture kinda blurry but I'll still help you:
to find y intercepts you just see where the line crosses the y axis and write the coordinate down for each line.
To find the gradient, just pick two points on a line and do
1)the difference between both y axis points
2)the difference between the x axis points
and then divide 1) by 2) to get the gradient.
Hope this helps!!
r(s+t)=u
options:
t=u−s/r
t=u/r−s
t=u/r+s
t=ru−s
Answer:
t = u/r -s
Step-by-step explanation:
r(s+t)=u
Divide each side by r
r/r(s+t)=u/r
s+t = u/r
Subtract s from each side
s+t-s = u/r -s
t = u/r -s
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 3) ← 2 points on the line
m = [tex]\frac{3-2}{4-0}[/tex] = [tex]\frac{1}{4}[/tex]
It take 160 ribbons to make 4 football mums.What is the constant of proportionality that relates the number of football mums made ,y, to the number of ribbons used,x? A.40 B.1/10 C.80 D.1/4
Answer:
The constant of proportionality is [tex]\frac{1}{40}[/tex]
Step-by-step explanation:
We have a function that relate the number of football mums made to the number of ribbons needed, since they are proportional the function that relates the two variables is a linear function is shown below:
[tex]y = a*x[/tex]
The constant of proportionality is the number, "a", that relates the two variables. It was state that 160 ribbons make 4 mums, therefore:
[tex]4 = a*160\\a*160 = 4\\a = \frac{4}{160} = \frac{1}{40}[/tex]
The constant of proportionality is [tex]\frac{1}{40}[/tex]
A square has side lengths of 9 use the Pythagorean theorem to find the length of the diagonal
Answer:
12.73
Step-by-step explanation:
The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.
The diagonal is the hypotenuse.
Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:
[tex]d^2 = a^2 + b^2[/tex]
where d = hypotenuse = diagonal.
Since the other two sides are equal, then:
[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]
The length of the side of the square is 9:
[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]
The length of the diagonal is 12.73
Answer:
12.73
Step-by-step explanation:
Which value of f 3f+5=32 a true statement
Choose 1 answer
A
f=6
B
f=8
C
f=9
D
f=12
Answer:
C. f = 9
Step-by-step explanation:
→Subtract 5 from both sides:
3f + 5 = 32
- 5 - 5
_________
3f = 27
→Divide both sides by 3:
f = 9
Answer:
C f=9
Step-by-step explanation:
Trust me, I got the answer right.
13. What is the circumference of a circle with a diameter of 6 cm. Leave your answer in terms of tt.
O 6 cm
O 247 cm
O 12 cm
O 9 cm
Answer:
C = 6pi cm
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
C = 6pi cm
what is -14x-7 idk I have tried everything
______________________________
Hey!!
Solution,
-14x-7
take the common
Answer: -7(2x+1)
Hope it helps
Good luck on your assignment
__'________________________
Answer:
i think its -2
Step-by-step explanation:
distribute and find the x
