Answer:
$3190.00
Step-by-step explanation:
Please help I'm stuck
Answer:
a^2+20a+24
Step-by-step explanation:
Answer:
your answer is a^2 + 20a + 24
Step-by-step explanation:
(5,3), m=7
Write the equation given the point and slope.
Answer:
7x-32
Step-by-step explanation:
y-y1 = m(x-x1)
y-3 = 7(x-5)
y-3 = 7x-35
y=7x-35+3
y=7x-32
The price of gas was $2.49 last month. This month, gas costs $2.79. What is
the percent increase?
Answer:
12%
Step-by-step explanation:
2.79 - 2.49 = $0.30
0.30 / 2.49 = 0.12 = 12% (decimal changes to percent)
You can check your work by doing original cost times the decimal of the percent increase. $2.49 * 0.12 = $0.30. Add this to original -> 0.30 + 2.49 = $2.79.
Use a triple integral to find the volume of the tetrahedron T bounded by the planes x+2y+z=2, x=2y, x=0 and z=0
Answer:
Volume of the Tetrahedron T =[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
As given, The tetrahedron T is bounded by the planes x + 2y + z = 2, x = 2y, x = 0, and z = 0
We have,
z = 0 and x + 2y + z = 2
⇒ z = 2 - x - 2y
∴ The limits of z are :
0 ≤ z ≤ 2 - x - 2y
Now, in the xy- plane , the equations becomes
x + 2y = 2 , x = 2y , x = 0 ( As in xy- plane , z = 0)
Firstly , we find the intersection between the lines x = 2y and x + 2y = 2
∴ we get
2y + 2y = 2
⇒4y = 2
⇒y = [tex]\frac{2}{4} = \frac{1}{2}[/tex] = 0.5
⇒x = 2([tex]\frac{1}{2}[/tex]) = 1
So, the intersection point is ( 1, 0.5)
As we have x = 0 and x = 1
∴ The limits of x are :
0 ≤ x ≤ 1
Also,
x = 2y
⇒y = [tex]\frac{x}{2}[/tex]
and x + 2y = 2
⇒2y = 2 - x
⇒y = 1 - [tex]\frac{x}{2}[/tex]
∴ The limits of y are :
[tex]\frac{x}{2}[/tex] ≤ y ≤ 1 - [tex]\frac{x}{2}[/tex]
So, we get
Volume = [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}\int\limits^{2-x-2y}_{z=0} {dz} \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{[z]}\limits^{2-x-2y}_0 {} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {\int\limits^{1-\frac{x}{2}}_{y = \frac{x}{2}}{(2-x-2y)} \, \, dy \, dx[/tex]
= [tex]\int\limits^1_0 {[2y-xy-y^{2} ]}\limits^{1-\frac{x}{2}} _{\frac{x}{2} } {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {[2(1-\frac{x}{2} - \frac{x}{2}) -x(1-\frac{x}{2} - \frac{x}{2}) -(1-\frac{x}{2}) ^{2} + (\frac{x}{2} )^{2} ] {} \, \, dx[/tex]
= [tex]\int\limits^1_0 {(1 - 2x + x^{2} )} \, \, dx[/tex]
= [tex]{(x - x^{2} + \frac{x^{3}}{3} )}\limits^1_0[/tex]
= 1 - 1² + [tex]\frac{1^{3} }{3}[/tex] - 0 + 0 - 0
= 1 - 1 + [tex]\frac{1 }{3}[/tex] = [tex]\frac{1}{3}[/tex]
So, we get
Volume =[tex]\frac{1}{3}[/tex]
The volume of Tetrahedron will be [tex]\frac{1}{3}[/tex] units.
Given,
The tetrahedron T is bounded by the planes,
[tex]x+2y+z=2......(1)\\ x=2y....(2)\\ x=0......(3) \\ z=0.....(4)[/tex]
From equation (1),
[tex]z=2-x-2y[/tex]
So the limits of z will be from 0 to [tex]2-x-2y[/tex].
Now, from equation (2),
[tex]y=\frac{x}{2}[/tex]
and from equation (1), putting z=0 we get,
[tex]x+2y=2\\y=1-\frac{x}{2}[/tex]
So the limits of y will be from [tex]\frac{x}{2}[/tex] to [tex]1-\frac{x}{2}[/tex].
On solving equation (1), for x we get
[tex]x+x+0=2[/tex] [tex](x=2y \ and \ z=0 )[/tex]
[tex]x=1[/tex].
So the limits of x will be from 0 to 1.
The volume of tetrahedron will be,
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy \int\limits^{2-x-2y}_0 \, dz[/tex]
[tex]V=\int\limits^1_0 \, dx \int\limits^{1-\frac{x}{2} }_{\frac{x}{2} } \, dy [2-x-2y-0][/tex]
[tex]V=\int\limits^1_0 \, dx (1-2x+x^2)\\[/tex]
[tex]V=1-1+\frac{1}{3}[/tex]
[tex]V=\dfrac{1}{3}[/tex]
Hence the volume of tetrahedron is [tex]\frac{1}{3}[/tex] units.
For more details on Triple integration follow the link:
https://brainly.com/question/12632797
solve for X
5(x+8)= 8(x+1)
Answer:
x = [tex]\frac{32}{3}[/tex] (see below)
Step-by-step explanation:
First, use distributive property:
5 (x + 8) = 8 (x + 1)
5x + 40 = 8x + 8
Then, simplify the equation by combining like terms. You want to isolate the variable to one side of the equation so you can solve for it. Here what I'm talking about:
5x + 40 = 8x + 8
-5x -5x
-------------------------
40 = 3x + 8
-8 -8
-----------------
32 = 3x
Now, divide both sides by 3 to get the value of x:
3x = 32
x = [tex]\frac{32}{3}[/tex]
or
x ≈ 10.7
Answer:
x= 32/3
Step-by-step explanation:
5(x+8)= 8(x+1)
5x+40=8(x+1)
5x=40=8x+8
5x+40=8x+8
5x+40-40=8x+8-40
5x=8x-32
5x=8x-32
5x-8x=8x-32-8x
-3x=-32
-3x = -32
(Divide both by -3)
x=32/3
Which equation represents a linear function?
A) x = y2
B) y – 2 = x2 + 5x
C) y = x3 + 1
D) 5x + 6y = 12
Answer:
D) 5x + 6y = 12
Step-by-step explanation:
x = y^2 is Not Linear (Find the degree of the equation to determine if linear.)
y - 2 = x^(2) + 5x is Not Linear (Find the degree of the equation to determine if linear.)
y = x^(3) + 1 is Not Linear (A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable y is 1 and the degree of variable x is 3.
5x + 6y = 12 is Linear (Find the degree of the equation to determine if linear.)
Evaluate 2x3 – 3 when x is 2.
Helpp
Answer:
21
hope it's helpful ❤❤❤❤❤
THANK YOU.
Can someone tell me a good definition for “Annuity” please?
Answer:
an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)
Step-by-step explanation:
Answer:
An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.
Step-by-step explanation:
Would love it if you guys helped me and showed solutions! Brainly points and thank you points too! <3
Unitary method question.
Answer:
the better value is £9
Step-by-step explanation:
unitary method..
find out how much 1kg will cost in the supermarket and multiply by 12.5kg
For the supermarket
1.83/2.5= 0.732 for one kg.
for 12.5 kg
0.732× 12.5= £9.15
hence the farm shop price is lower than the supermarket price
Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month. Find an expression for the total monthly revenue Theodore and Sarah's business can generate if they change the selling price of their T-shirts. Let x represent the number of $1 increases in the price of the T-shirts.
Answer:
(205-9x) times15
Step-by-step explanation:
The expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Theodore and Sarah have a small business selling custom-made T-shirts. They currently sell 205 shirts per month and charge $15 per T-shirt. Sarah thinks they can increase their revenue by increasing their selling price, but Theodore knows from experience that each $1 increase in price will decrease the number of T-shirts they sell by 9 shirts per month.
The expression will be written as,
E = (205-9x)15.
Therefore, the expression the total monthly revenue of Theodore and Sarah's business is (205-9x)15.
To know more about an expression follow
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Geometry- which statement is true
Answer:
its the 3rd one ab and cd
which letter would be the most meaningful variable for this problem situation? the distance a bike travels divided by 3!
Answer:
We could use 'd' as a variable to represent distance. And since distance is the most important thing in this question, the most important variable would be 'd'.
Is this what you were asking?
I hope I could help. (๑•～•)
Max is flying a kite and gets tired of holding the string attached to the kite. Max has let out approximately 40 feet of string and the string makes a 32 degree angle with the ground. How high is the kite at the time?
Answer: i think 8
Step-by-step explanation:
The measure of an angle is 17.3°. What is the measure of its complementary angle?
Answer:
72.7
Step-by-step explanation:
complementary angles: either of two angles whose sum is 90°.
90-17.3 = 72.7
Answer:
Complementary angle of 17.3° is (90°-17.3°)=72.7°
72.7° is the right answer.
Cameron is buying school supplies. He needs 4 notebooks, 5 packs of
pencils and 3 glue sticks. Notebooks cost $3 each, glue sticks cost $2 each
and packs of pencils cost $5 each. Cameron has a coupon to save $4 oft
his entire purchase. Write and evaluate a numerical expression to find the
total amount he will spend on school supplies.
Answer:
I'm pretty sure the answer is $43
14 is 33 1/2% of what number?
Answer:
41.79
Step-by-step explanation:
c = 14 * 100/33.5 = 1400/33.5 = 2800/67
= 41.79104
Subject: Maths
Level: High-school
Topic: transforming graphs
Points: 90
PLEASE HELP!
Answer:
i) (-1,-5)
ii) (-2, -6)
iii) (2, 0)
Step-by-step explanation:
its been a long since i did these not sure but the best i got
hope it helped
Please help with this question
Answer:
-16
Step-by-step explanation:
becjv dfv igcicifcigxixixicocvicicirxc ou9 xexiixi xiexexuwuzwxit
Answer:
I would say 57 is the answer
Step-by-step explanation:
Please answer this question
Answer: 480
Step-by-step explanation:
what is the measure angle of x?
Answer:
109
Step-by-step explanation:
180-71
[tex]\huge\tt\pink{\boxed{\tt{\blue{★\:Answer}}}}[/tex]
[tex]\longmapsto71\degree + x = 180 \degree \: ( \because \: linear \: pair) \\\longmapsto x = 180 -71 \\ \longmapsto109\degree[/tex]
Gift boxes at Walgreens are sold in packs of 8, and cost $6.00. At CVS, the price for a 10 pack of gift boxes is $9.00. Determine which store offers a better bargain based on the price per box. Type the name of the store on the line.
Answer:
CVS
Step-by-step explanation:
i am pretty sure
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
Graph the inequality X+6y<6
Answer:
can i see the picture?
Which value of y makes the equation 13 - y = 17 true
A y= -13
B y= -4
C y= 4
D y=13
If you use 20 cups of flour, how many teaspoons of vanilla should you use? *
Answer:
1/16
Step-by-step explanation:
You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used
Re write the statement 19+7 divided by 2-5 by including one pair of brackets to make the total equal to 8
Complete the square and write the quadratic equation in vertex form please show steps
Answer:
Square: [tex](x-10)^{2} -68[/tex]
Vertex: (10,-68)
Step-by-step explanation:
what is the value of X=?
Write your answer in the box below.
X= _____
Answer:
39
Step-by-step explanation:
Answer:
39 degrees
Step-by-step explanation:
by the triangle angle sum theorem, the 3 angles of triangles must add up to 180 degrees.
Therefore, 102 degrees + 39 degrees + x = 180 degrees
141 degrees + x = 180 degrees
x = 39 degrees
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?
O A. Yes, because 92 + 122 = 152
B. No, because 9 + 12 15.
C. Yes, because 92 + 122> 152.
D. No, because 92 + 122 + 15 ^2
Answer:
A yes
Step-by-step explanation:
you use the pythagorean theorem
Answer:
B
Step-by-step explanation:
at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger
