Hi there! :)
Answer:
a = -9
Step-by-step explanation:
Starting with:
2/3a = -15 - a
Solve for 'a' by isolating the variable:
2/3a = -15 - a
On the right-hand side of the equal sign, make 'a' have a common denominator of 3 to make the simplifying easier:
2/3a = -15 - 3/3a
Add 3a/3 to both sides:
5/3a = -15
Divide both sides by 5/3, or multiply by its reciprocal (3/5)
5/3a(3/5) = -15(3/5)
a = -9
A power line is to be constructed from a power station at point A to an island at point C, which is 1 mi directly out in the water from a point B on the shore. Point B is 4 mi down shore from the power station at A. It costs $5000 per mile to lay the power line under water and $3000 per mile to lay the line underground. At what point S down shores from A between the cities?
Answer:
Given :
length offshore = CS=√(1+X^2)
Cable charged = 5000√(1+X^2)
onshore length = 4-X
laying cost = 3000(4-X)
total cost:
C=5000√(1+X^2) +3000(4-X)
DC/DX
= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum
5000X=3000√(1+X^2)
25X^2=3+3X^2
22X^2=3
X=√(3/22)
= 0.3693 miles
So, it would be laid offshore to S in a manner that
BS=X=0.3693 miles
Onshore=4-0.3693
=3.6307 miles
Can someone please help me I really need help please help me thank you
Answer:
The initial value of the computer
Explanation:
The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.
Find each difference.
(32mn2 + 50mn2) - (10mn2 - 16m2 + 64)
PLEASE HELP!!! ASAP!!!
Answer:
144mn + 32m - 64
:)
Step-by-step explanation:
Will get lots of points!! Thank you!! Trigonometry
Answer:
Angle B = 75 degrees
AC = 35.7
BC = 9.6
Step-by-step explanation:
Angle A = 15 degrees (given)
Angle C = 90 degrees (given)
c = 37 (given)
Angle B = 90-15 = 75 degrees
AC = AB cos(A) = 37 cos(15) = 35.7
BC = AB sin(A) = 37 sin(15) = 9.6
Question 1) While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars Question 2) To fit between two windows, the width of a bookshelf must be no greater than Six and one half feet. Mrs. Aguilar purchases a bookshelf that is 77 inches wide. Which statement describes the relationship between the width of the bookshelf and the distance between the windows? Question 3) Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which statement comparing the two swimmers is accurate? 1 mile 1,609 meters.
Solve for x. Write both solutions, separated by a comma. 8x^2+7x-1=0
Answer:
x = 1/8 , - 1Step-by-step explanation:
8x² + 7x - 1 = 0
Rewrite 7x as a difference
That's
8x² + 8x - x - 1 = 0
Factorize
8x( x + 1) - ( x + 1) = 0
(8x - 1)( x + 1) = 0
8x - 1 = 0 x + 1 =0
8x = 1 x = - 1
x = 1/8
The solutions are
x = 1/8 , - 1Hope this helps you
Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price of all the plates then became $8. What was the total number of plates Mrs Lim bought in all?
Hey loves!!! plz help!!!
Answer:
k Nishant
Step-by-step explanation:
there is no comman angle but their is common side that is AC
A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)
help me I need this answer asap pls :(
A hiker is climbing down a valley. He stops for a water break 4 times. Between each break, he descends 15 meters. How many meters did he descend? Ju Chan answered the question by writing the following: 4(−15) meters = −60 meters. Which word in the problem indicates that a negative number should be used?
Answer:
"descends"
Step-by-step explanation:
(just had the same question).
Quadrilateral rust has a vertex (2,4). What are the coordinates of r' after a dilation of scale factor 3, centered at the origin, followed by translation (x,y) to (x+4,y)
Answer:
The coordinates of r' are x = 10 and y = 12.
Step-by-step explanation:
The vertex experiments two operations: Dilation and translation, whose definitions are presented herein:
Dilation with respect to origin
[tex](x',y') = (0,0) + 3\cdot (x,y)[/tex], [tex]\forall \,x,y \in \mathbb{R}[/tex]
Translation
[tex](x',y') =(x+4,y)[/tex], [tex]\forall\,x,y\in \mathbb{R}[/tex]
If [tex]x = 2[/tex] and [tex]y = 4[/tex], then:
1) [tex](2,4)[/tex] Given.
2) [tex](0,0) + 3\cdot (2,4)[/tex] Dilation with respect to origin.
3) [tex](6,12)[/tex] Vectorial sum and scalar multiplication.
4) [tex](6+4,12)[/tex] Translation.
5) [tex](10,12)[/tex] Vectorial sum. Result.
The coordinates of r' are x = 10 and y = 12.
Answer:
10,12 is the answer
Step-by-step explanation:
I just did it on a p e x
Multiply. 4.9 0.3 plz i need epain how to do it
Answer:
1.47
Step-by-step explanation:
Use the multiplication method.
Answer:
Hello!
_______________________-
4.9 x 0.3 = 1.47
Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.
Hope this helped you!
line plot
3.
A student builds unifix cube towers to represent the ages of the five children in her family. She places them in order from smallest to largest. She removes the shortest and tallest tower then removes the next shortest and tallest tower. The tower in the middle is remaining. This student has just found which average?
Mode
Mean
Range
Answer:
Mode
Step-by-step explanation:
The answer is Mode. Mode is basically a number or data item that appears most frequently in a data set. First lets see how we find Mode. To find the Mode in the data set, first the numbers or data items are placed in order. Then it is counted that how many times each number appears. A number or data item that appears most frequently is the mode.
So lets a student builds unifix cube towers to represent the ages of the five children as following:
3 1 2 2 4
Now the student first places them in order from smallest to largest
1 2 2 3 4
Now she removes the shortest and tallest tower. Shortest is 1 and tallest is having 4 cubes. After removal of shortest and tallest tower:
2 2 3
Then removes the next shortest and tallest tower. Now the shortest tower has 2 cubes and tallest has 3 cubes. After removal of shortest and tallest tower:
2
The tower in the middle is remaining i.e. 2
So as you can see the most frequently occurring from 1 2 2 3 4 is also 2 as it appears twice. So that means student has found Mode. Although the same method is used to find the median too but here the most appropriate option is Mode. Mean is the way to find the average but it is computed by adding the numbers in the data set with the total size of data. So its not an appropriate option because the method that the student followed does not match with the method to compute mean. Also range is not a valid option because range finds the difference of the largest and smallest number and the method that student used is different from the method to compute range. If we compute the difference between largest and smallest number we get 3.
The circle is inscribed in triangle A E C. Which are congruent line segments? Select two options. AB and CB ;EF and ED; ED and CD ;A F and EF ;CB and CD
Answer:
B and E
aka
E-F and E-D
C-B and C-D
Step-by-step explanation:
By the symmetry of the circle, we can see that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.What are congruent line segments?
Two segments are congruent when the segments have the same measure.
Here, we can use the symmetry of the circle to break the triangle into two equal parts.
We could see that segment EB cuts the triangle into two equal halves, then we will have that:
EF is congruent to ED.EC is congruent to EAAB is congruent to BCFA is congreunt to DC.These are the congruent segments.
If you want to learn more about segments, you can read:
https://brainly.com/question/14366932
A jar holds 80 fluids ounces of juice. The label says the jar has 10 servings. How many fluid ounces are needed for 80 servings?
Answer:
640 fl oz
Step-by-step explanation:
80 divided by 10 is 8. So each serving for a jar that hold 80 fl oz contains 8 fl oz.
So you would multioply 80 by 8 to find the amount of juice needed for 80 servings. 80*8= 640
The height of a tree at time t is given by h(t) = 2t + 3, where h represents the height in inches and t represents the number of months. Identify the independent and the dependent variables.
Answer:
Step-by-step explanation:
You see that 't' is the 'argument' or 'input' to h: h(t). It is always safe to assume that t is the independent variable and h is the depend
i mark brainliest for all my questions that are answered right :) thx for helping me
Simplify (4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n). Express your answer without factoring.
Answer:
6n^4-10n^2+10n
Step-by-step explanation:
4 n^4+2n^4-3n^2-7n^2+9n+n
6n^4-10n^2+10n
Answer:
[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]
Step-by-step explanation:
[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]
[tex]\sf Remove \ brackets.[/tex]
[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]
[tex]\sf Group \ like \ terms.[/tex]
[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]
[tex]\sf Combine \ like \ terms.[/tex]
[tex]6n^4- 10n^2 + 10n[/tex]
I need help with my homework help me please
Answer:
a. 17
b. 50
c. 9
Step-by-step explanation:
Simply replace the variables with the given numbers:
3(5) + 2
15 + 2
17
2(5)²
2(25)
50
(5 - 2)²
3²
9
Answer:
a) 17
b) 50
c) 9
Step-by-step explanation:
x = 5; y = 2
a) 3x + y
b) 2x^2
c) (x - y)^2
a) 3x + y = 3(5) + 2 = 15 + 2 = 17
b) 2x^2 = 2(5^2) = 2(25) = 50
c) (x - y)^2 = (5 - 2)^2 = 3^2 = 9
Help fast will mark you the brainlest
Answer:
55°
Step-by-step explanation:
x°+35° is a right angle
so x°+35°= 90°
then : x° = 90°-35° = 55°
Answer: x = 20
Step-by-step explanation:
This problem makes use of Supplementary Angles. Supplementary Angles states that all angles that makes up a straight line are equal to 180. Thus, 125+35+x=180
First add
160+x=180
Then subtract
x=20
Hope it helps <3
Help someone please!! Ty
Answer:
Option (B)
Step-by-step explanation:
Let the five distinct positive integers are a, b, c, d, e.
Average of these five integers is 20.
[tex]\frac{a+b+c+d+e}{5}=20[/tex]
a + b + c + d + e = 100
If these integers are in the increasing order,
Median of these integers 'c' = 12
If the sum of d and e is the largest then the sum of a and b will be the smallest.
Therefore, the smallest positive integers a and b will be,
a = 1 and b = 2
1 + 2 + 12 + d + e = 100
15 + d + e = 100
d + e = 100 - 15
d + e = 85
Since d will be greater than the median c,
d > c
d > 12
For the largest value of integer 'e', value of 'd' will be minimum.
The least value of d will be = 13
Then, 13 + e = 85
e = 85 - 13
e = 72
{a, b, c, d, e} = {1, 2, 12, 13, 72}
Therefore, the largest possible number is this set will be 72.
Option (B) will be the answer.
If x∝y and x=24 when y = 8. Find x when y = 16
3 points
Answer:
x= 48
Step-by-step explanation:
x∝ y
x= ky
24= 8k
k= 3
Now solve for x
x= ky
x= 3x 26
x= 48
I hope it helped
Confusing again ?!?!?!?! Please help I have 5 mins
Answer:
B.
Step-by-step explanation:
Hope it was Right.
Answer: the answer is c
#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
Pleaaaaase help!!!!
Answer:
see below
Step-by-step explanation:
sqrt(20)
sqrt(4*5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(4) sqrt(5)
2 sqrt(5)
Answer:
We can factor down 20 with it's greatest prime GCF, which is 5. We get a 4. When we factor that down the same way, we get 2. If we repeat that process, we get 5, 2, and 2, which turns into [tex]2\sqrt{5}[/tex].
what is the value of n
Answer:
c. 38
Step-by-step explanation:
Which fraction is not equivalent to 7/8
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
C
Step-by-step explanation:
21/24 = 7/8
35/40 = 7/8
7/8 ≠ 15/16
14/16 ≠ 15/16
28/32 = 7/8
Please answer it now in two minutes
Answer:
44
Step-by-step explanation:
Tan v=opp/adj 18s/19s=0.947
v=44 degrees (approximately)
angle T=180 - (90+44)
angle T= 46
Please answer ASAP! (No explanation required!) <3
Answer:
a) 9 squares long
b) 18
Step-by-step explanation: