PLS HELP ME ON THIS QUESTION!!!
George has a storage unit already occupied by a large container that is the same height of the whole unit. How much space is left for storage?
Answer:
945 m³
Step-by-step explanation:
Space left for storage = Volume of storage unit - volume of the container
Storage unit:
length = l = 15.3 m
Height = h = 10 m
Width = w = 7 m
Volume of storage unit = l * w *h
= 15.3 *7* 10
= 1071 m³
Container:
length = l =4.2 m
Height = h = 10 m
Width = w = 3 m
Volume of container = l * w *h
= 4.2 *3* 10
= 126 m³
Space left = 1071 - 126 = 945 m³
What is 3x^2-5x-13=0
Answer:
D. 58
Step-by-step explanation:
Given, 3x+8x+4x=6x+63
⇒15x=6x+63
⇒9x=63
⇒x=7
Then 5x+23=5(7)+23
=35+23
=58
If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.
Answer:
25
Step-by-step explanation:
6x³-(k+6)x²+2kx-25
2x-5=0
2x=5
x=5÷2=2.5
6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0
(6×15.625)-(6.25k+37.5)+(5k)-25=0
93.75-6.25k-37.5+5k-25=0
93.75-37.5-25=6.25k-5k
31.25=1.25k
k=25
G
Antranig has a glass that holds 9.75 fluid ounces. He drinks 3.5 glasses of water in one day. To the nearest hundredth of a fluid ounce, how much water does Antranig drink?
He drinks about ounces of water
(Do not round antil the final answer. Then round to the nearest hundredth as needed.)
HELP MAN
Answer:
34.13 ounces
Step-by-step explanation:
Total amount of water drunk=3.5*9.75=34.13
“Give the perimeter for each figure as a simplified expression”
explain why if you answer it , thanks
Answer:
B.
Step-by-step explanation:
Table B has x values that go to multiple y values. A function has inputs that only go to one output.
The first four terms of a sequence are, 9,2,-5,-12.
State the pattern of the sequence using algebraic expressions.
Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
Kent guessed that there were
2,473 candies in the jar.
What is the value of the 2?
Answer:
The value of the 2 is two-thousand
Step-by-step explanation:
Answer:
thousands
Step-by-step explanation:
thousands, hundreds tens ones
2 4 7 3
a cake recipe calls for 2 1/2 cups of sugar. A caterer had 37 3/4 cups of sugar on hand. how many cakes can he make?
Answer:
Step-by-step explanation:
Set this up as a ratio of number of cakes to cups of sugar, C:S
Then the ratio given is 1:2.5 which says 1 cake takes 2.5 cups of sugar. We want to know how many cakes, x, will be made with 37.75 ups of flour:
[tex]\frac{1}{2.5}=\frac{x}{37.75}[/tex] and cross multiply to solve:
2.5x = 37.75 so
x = 15.1 cakes or just 15 cakes (cuz you can't make one-tenth of a cake!)
Go Which operation would be completed second in the following expression? 7² -3+9+8 dividend by two
Choices:
Subtract
Multiply
divide
Simplify the exponet
Answer:
Divide
Step-by-step explanation:
Using PEMDAS, the first would be parenthesis, but there are none, so we do not use P. Next is E which is exponents, which would be the first thing completed. Then is M and D which is multiplication and division. The division is used which is "dividend by two" as it's the second thing completed.
Hope this helped.
HELLLPPPPP!!!!!!!!!!!!!!!!!!
Answer:
1}6 times
Step-by-step explanation:
The highest number of president born in Virginia minus the highest number of president born in Texas2}Yes.New York and Mast has the same number of president which is four
3}Yes,this can be done using piechart.
4}I am still working on this question
a clothing factory made 4537 shirts. if an equal number of shirts was placed in each 56 boxes, how many shirts were left over?
Answer:
57 shirts were left over
Step-by-step explanation:
57 multiplied by 80 gives you 4480
4537 subtracted by 4480 gives you 57 leaving you with 57 shirts left over :)
As above, let
$$f(x) = 3\cdot\frac{x^4+x^3+x^2+1}{x^2+x-2}.$$Give a polynomial $g(x)$ so that $f(x) + g(x)$ has a horizontal asymptote of $y=0$ as $x$ approaches positive infinity.
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{f(x)}{3} =\dfrac{x^4+x^3+x^2+1}{(x-1)(x+2)} \\\\=\dfrac{(x^2+3)(x-1)(x+2)-3x+7}{(x-1)(x+2)} \\=x^2+3-\dfrac{3x-7}{(x-1)(x+2)} \\\\=x^2+3-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} =-\dfrac{3}{x-1} +\dfrac{1}{(x-1)(x-2)} \\\\\\ \lim_{x \to +\infty} (\dfrac{f(x)}{3}-\dfrac{3x^2+9}{3} )\\\\=0+0=0\\\\\\P(x)=-x^2-3[/tex]
Answer:
[tex]g(x)=-3x^2-9[/tex]
Explanation:
[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]
+[tex]\frac{p(x)(x^2+x-2)}{x^2+x-2}[/tex]
We need p(x) need to be a degree 2 polynomial so the numerator of the second fraction is degree 4. Our goal is to cancel the terms of the first fraction's numerator that are of degree 2 or higher.
So let p(x)=ax^2+bx+c.
[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]
+[tex]\frac{p(x)(x^2+x-2)}{x^2+x-2}[/tex]
Plug in our p:
[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]
+[tex]\frac{(ax^2+bx+c)(x^2+x-2)}{x^2+x-2}[/tex]
Take a break to multiply the factors of our second fraction's numerator.
Multiply:
[tex](ax^2+bx+c)(x^2+x-2)[/tex]
=[tex]ax^4+ax^3-2ax^2[/tex]
+[tex]bx^3+bx^2-2bx[/tex]
+[tex]cx^2+cx-2c[/tex]
=[tex]ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)-2c[/tex]
Let's go back to the problem:
[tex]3\frac{x^4+x^3+x^2+1}{x^2+x-2}[/tex]
+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex]
Let's distribute that 3:
[tex]\frac{3x^4+3x^3+2x^2+3}{x^2+x-2}[/tex]
+[tex]\frac{ax^4+(a+b)x^3+(-2a+b+c)x^2+(-2b+c)x-2c}{x^2+x-2}[/tex
So this forces [tex]a=-3[/tex].
Next we have [tex]a+b=-3[/tex]. Based on previous statement this forces [tex]b=0[/tex].
Next we have [tex]-2a+b+c=-3[/tex]. With [tex]b=0[/tex] and [tex]a=-3[/tex], this gives [tex]6+0+c=-3[/tex].
So [tex]c=-9[tex].
Next we have the x term which we don't care about zeroing out, but we have [tex]-2b+c[/tex] which equals [tex]-2(0)+-9=-9[/tex].
Lastly, [tex]-2c=-2(-9)=18[/tex].
This makes [tex]p(x)=-3x^2-9[/tex].
This implies [tex]g(x)\frac{(-3x^2-9)(x^2+x-2)}{x^2+x-2}[/tex] or simplified [tex]g(x)=-3x^2-9[/tex]
Simplify the expression.
7(5 +t) - 4(t + 4)
7(5 + t) - 4(t + 4) = [
7(5 + t) - 4(t + 4) =
= 35 + 7t - 4t - 16 =
= 7t - 4t + 35 - 16 = 3t + 19
find the extrema of the function y=cos2x
Answer:
Step-by-step explanation:
Find derivative of the function:
y' = -2·sin(2·x)
-2·sin(2·x) = 0
x1 = 0
x2 = 3.142
f(0) = 1
f(3.142) = 1
Answer
fmin = 1, fmax = 1
The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of the rectangle is decreased by 1/3
a) form a quadratic equation
Answer:
Let the breadth is x, then the length is 3x.
The area is:
A = lw = 3x*x = 3x²The breadth is decreased by 2 m:
w = x - 2The length is increased by 4m:
l = 3x + 4The area is now:
(x - 2)(3x + 4) = 3x² - 1/3(3x²)3x² + 4x - 6x - 8 = 2x²x² - 2x - 8 = 0x² - 2x + 1 = 9(x - 1)² = 3²x - 1 = 3x = 4The breadth was 4 m and the length 12 m
2+ (-3)^2 - (-1)
please explain! :3
Answer:
12
Step-by-step explanation:
Hello!
First of all you have to understand the order of operations.
PEMDAS
Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.
From this you can see that we first have to deal with the exponent, then multiplication, then the addition.
So we get 2+9-(-1)
The 9 is from -3^2
2+9+1
11+1
12.
Hope this helps!
This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?
Answer:
h = 41.52 feet
Step-by-step explanation:
The volume is π•radius²•height:
π•4²•h = 2087
16πh = 2087
h = 2087/16π
h ≈ 41.52 feet
Find the X intercepts of the equation f(x) = x^2 - 6x + 6
Answer:
x-intercepts = (x ≈ -0.87), (x ≈ 6.87)
Step-by-step explanation:
let x = 0, in equation for x-intercepts
solve for x using the
quadratic formula
x = −6 ± √ 36 + 24
2x
= −6 ± √60
−2x
= −6 ± 2 √ 15
−2 = 3 ± √15
Compare the functions shown below:
Which function has the greatest maximum y-value?
Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)
Step-by-step explanation:
1000
800
600
400
200
1 2 3 4 5 6
-6-5-4-3-21
-200
-400
-600
-800
-1000
10
Determine if the graph represents a polynomial function. If it does, determine the number of turning points and the least degree possible.
Answer:
C
Step-by-step explanation:
As the x tends to infinity and - infinity, the function does the same, so it's an odd function. The function also have two extrema, that means it have 2 turning point
Answer:
it says Not a polynomial.
Step-by-step explanation:
Picture shown!
Complete the remainder of the table for the given function rule
y= -3x+4
x | -8 -4 0 4 8
y | 28 ? ? ? ?
Answer:
see below
Step-by-step explanation:
y= -3x+4
Let x = -4
y= -3(-4) +4 = 12 +4 = 16
Let x = -0
y= -3(0) +4 = 0 +4 = 4
Let x = 4
y= -3(4) +4 = -12 +4 = -8
Let x = 8
y= -3(8) +4 = -24 +4 = -20
integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]
please mark this answer as brainlist
600 becomes 720 in 2 years when the interest is simple if the rate of interest is increased by 2% then what will be the total amount.
Hi
So: 720 -600 = 120
120 for two years makes 120/2 = 60 in a year .
60 from 600 is 600/60 = 10
Interest is 10 %
If interest in 2% more, then it's 12%.
I'm sure you can count 12% simple interest for two years, so I let you try.
good luck.
use determinants to find the area of the parallelogram shown below
Answer:
30
Step-by-step explanation:
To find the determinant of a parallelogram given points (a, b), (c, d), and (e, f), we can use
[tex]\left[\begin{array}{ccc}a&b&1\\c&d&1\\e&f&1\end{array}\right][/tex] and calculate the determinant of that. Three points on the parallelogram are (-1,1), (-1, -5), and (4, 5). Plugging these into the matrix, we get
[tex]\left[\begin{array}{ccc}-1&1&1\\-1&-5&1\\4&5&1\end{array}\right][/tex]. The determinant is equal to
[tex]-1 *det \left[\begin{array}{ccc}-5&1\\5&1\end{array}\right] \\- 1 * det \left[\begin{array}{ccc}-1&1\\4&1\end{array}\right] \\\\+ 1 * det \left[\begin{array}{ccc}-1&-5\\4&5\end{array}\right] \\= -1 * (-5*1 - (1*5))- 1 * (-1 * 1 - (4*1)) + 1 * (-1 * 5 - (-5*4)) \\= -1 *(-5-5) -1 * (-1 - 4) + 1 * (-5 - (-20))\\= -1 * (-10) -1 * (-5) +1 * (15)\\= 10 + 5 + 15\\=30[/tex]
What is the midpoint of segment AB?
Answer:
(-1, -3.5)
Step-by-step explanation:
Use the midpoint formula by finding the points of A and B.
A = (-5, -4)
B = (3, -3)
Add the x-values of both coordinates to get the following:
[tex]3_{1} + -5_{2} = -2\\-2/2 = -1[/tex]
Midpoint = (-1, y)
Now we find the y-value by doing the same as we did to the x-coordinates of A and B.
[tex]-3_{1} + -4_{2} = -7\\-7/2 = -3.5[/tex]
Midpoint = (-1, -3.5)
50 apples cost 25$ how much would 75$ apples cost?
Answer:
100
Step-by-step explanation:
Hey there!
First, to find the cost of one apple, 50 ÷ 25, which equals 2.
At this point, i am not very sure if you meant to say 75 apples, or $75 apples, so I am just going to give both solutions.
If you meant 75 apples: 75 x 2 = $150
If you meant $75 apples: $75 ÷ 2 = 37.5
Since it isn't realistic to buy 37 apples and one half, round it to 37 apples.
Hope this helps!
Have a great day!
The function f(x) is graphed below. What is the value of f(-2)?
Answer:
f(-2) = 4
Step-by-step explanation:
Looking at the graph, at -2 the graph is at the point (-2,4). Therefore, the value of f(-2) is 4.
Write an equation that represents the line.
Use exact numbers
Answer:
y = 5/6x + 8/3
Step-by-step explanation:
y = mx + b (m is the slope, b is the y-intercept)
(-2, 1) (4, 6)
m = change in y / change in x
m = 5/6
y = 5/6x + b
Plugging in (4, 6):
6 = 5/6(4) + b
6 = 20/6 + b
36/6 = 20/6 + b
36/6 - 20/6 = b
b = 16/6
b = 8/3
y = 5/6x + 8/3
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation: