Answer:
x=3
Step-by-step explanation:
⇒
y
=
3
x
Explanation:
Direct proportionality is defined as:
y
=
α
x
where
α
is some constant that defines the proportionality.
Given
x
=
2
and
y
=
6
, we find:
y
=
α
x
6
=
α
(
2
)
3
=
α
So the relationship here is
y
=
3
x
according to exponent rules, when we multiply like bases, we ______ the exponents
i need help with the group 1 and group 2, what do i write in the boxes :((
IM GIVING BRAINLIEST AND 50PTS TO SOMEONE THAT CAN ANSWER THE FOLLOWING QUESTION CORRECTLY
given the following linear function sketch the graph of the function and find the domain and range
f(x) = 2/7x - 2
i am giving brainliest to the first person that answers this and follows all the directions
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Bet.
Step-by-step explanation:
(5i-3)(9i+1)
Answer must be in standard form
Answer:
-48-22i
Step-by-step explanation:
A.
B.
C.
D.
Help me please!!
It's B!!! ik cuz i ggogled it lol
Answer:
I think the answer is B. $92
Step-by-step explanation:
$80 time (115 on calculator will give you 9200
I am doing a science project and need a fun or short title. The project is on whether filtered water affects plant growth. Any creative title ideas?
Answer: Water: The battle between the clean vs the dirty :P
Step-by-step explanation:
Help plz plz plz plz
Answer:
.4 and it terminates
Step-by-step explanation:
Answer:
red
Step-by-step explanation:
A business recently upgraded a conference TV they had in their conference room. Originally the TV was 32 inches (across the diagonal) and had a perimeter of 87.16 inches. The new TV is 70 inches across the diagonal. Since the new TV will be recessed in the wall, it will need trim put on the border. What is the perimeter of the new TV? Round your answer to two decimal places.
Answer:
The perimeter of the new TV is approximately 95.32 inches
Step-by-step explanation:
The diagonal dimension of the original TV = 32 inches
The perimeter of the original TV = 87.16 inches
The diagonal dimension of the new TV = 70 inches
The perimeter of the new TV = 87.16 inches
For the original TV, we have;
Let w be the width of the original TV and l be the length of the original TV, we have;
2·w + 2·l = 87.16
√(w² + l²) = 32
Therefore, we have;
32² = w² + l²
w = (87.16 - 2·l)/2
w = 43.58 - l
32² = l² + (43.58 - l)²
l² + (43.58 - l)² - 32² = 0
l² + 43.58² - 2 × 43.85 × l + l² - 32² = 0
2·l² - 87.16·l + 875.2164 = 0
By the quadratic formula, we have;
l = (87.16 ± √((-87.16)² - 4×2 × 875.2164))/(2 × 2)
Therefore, l = 27.89 inches or l = 15.69
Therefore, w = (87.16 - 2·l)/2 = (87.16 - 2× 27.89)/2 = 15.69
or w = (87.16 - 2× 15.69)/2 = 27.89
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
15.69/27.89
w₂/l₂ for the new TV = 15.69/27.89
∴ w₂ = l₂ × 15.69/27.89
w₂² + l₂² = 70²
∴ (l₂ × 15.69/27.89)² + l₂² = 70²
l₂² × (15.69/27.89)² + l₂² = 70²
l₂²((15.69/27.89)² + 1) = 70²
l₂² = 70²/((15.69/27.89)² + 1) = 3722.04
l₂ = √(3722.04) ≈ 61.0
w₂ = l₂ × 15.69/27.89 = 61 × 15.69/27.89 ≈ 34.32
Therefore;
The perimeter of the new TV = 34.32 + 61 = 95.32 inches.
In this exercise we have to use the knowledge and information given to calculate the perimeter that will correspond to:
The perimeter of the new TV is approximately 95.32 inches
So the data for this exercise is from:
The diagonal dimension of the original TV = 32 inches The perimeter of the original TV = 87.16 inches The diagonal dimension of the new TV = 70 inches The perimeter of the new TV = 87.16 inches
Let w be the width of the original TV and l be the length of the original TV, we have;
[tex]2*(w) + 2*(l) = 87.16\\\sqrt{(w^2 + l^2)} = 32[/tex]
Therefore, we have:
[tex]32^2 = w^2 + l^2\\w = (87.16 - 2*l)/2\\w = 43.58 - l\\32^2 = l^2 + (43.58 - l)^2\\l^2 + (43.58 - l)^2 - 32^2 = 0\\l^2 + 43.58^2 - (2 * 43.85 * l)+ l^2 - 32^2 = 0\\(2)*(l)^2 - 87.16*l + 875.2164 = 0[/tex]
By the quadratic formula, we have;
[tex]l = (87.16 +/- \sqrt{((-87.16)^2 - 4*2 * 875.2164))/(2 * 2)} )[/tex]
Therefore:
[tex]w = (87.16 - (2)*(l))/2 = (87.16 - 2* 27.89)/2 = 15.69\\w = (87.16 - 2* 15.69)/2 = 27.89[/tex]
Whereby the ratio of the width to the length of the original TV and the new TV are the same, we have;
w₂/l₂ for the new TV = [tex]15.69/27.89[/tex]
[tex]w_2 = (l_2)* (15.69/27.89)\\w_2^2 + l_2^2 = 70^2\\(l_2 *15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2 * (15.69/27.89)^2 + l^2_2 = 70^2\\l^2_2((15.69/27.89)^2 + 1) = 70^2\\l^2_2 = 70^2/((15.69/27.89)^2 + 1) = 3722.04\\l_2 = \sqrt{(3722.04)} = 61.0\\w_2= l_2 * 15.69/27.89 = 61 * 15.69/27.89 = 34.32\\[/tex]
The perimeter of the new TV :
[tex]P = 34.32 + 61 = 95.32[/tex]
See more about perimeter at brainly.com/question/6465134
what is the value of x that satisfies the following equation
1 over 3 ( x - 9) = 2 over 3 (2x + 6)
Answer:
x=-7
Step-by-step explanation:
BRAINLIEST PLS
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
C is your y intercept 3.99b is your slope
Step-by-step explanation:
What is -19 equal to
Answer:
-19
Step-by-step explanation:
25 POINTS!!!
The recipe for a batch of applesauce uses 2 and one-half pounds of apples. If Michael wants to make Three-fourths of a batch of applesauce, how many pounds of apples will he need?
StartFraction 3 Over 10 EndFraction of a pound
StartFraction 8 Over 15 EndFraction of a pound
1 and StartFraction 7 Over 8 EndFraction pounds
3 and one-third pounds
Answer:
i think its the 3erd one... im giveing a estimate because of that one dude. lol
Step-by-step explanation:
im so so so so sorry if its wrong!!!
Answer:
C
Step-by-step explanation:
Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.
Step-by-step explanation:
1 can of corn = c
1 can of green beans = b
Marissa-> 4c+8b=7
Bob-> 8c+7b=8.60
form a simultaneous equation:
4c+8b=7
8c+7b=8.60
find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn
8c+16b=14
8c+7b=8.60
now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:
16b-7b=9b
14-8.60= 5.4
so, 9b=5.4, and b= 0.6
so 1 can of green beans would cost $0.60
You are given the following sequences: Sequence A: 5, 11, 17, 23... Sequence B: 4000, 1000, 250, 62.5... Part A: Determine whether each sequence is arithmetic, geometric (2 pts) Part B: Write an explicit formula for each sequence (6 pts) Part C: Find the 6th term of each sequence (2 pts)
Answer:
I believe the first is arithmetic because it has a difference Of 6 between each number. The second is geometric because each number is divided by 4 to get the next number
Step-by-step explanation:
5, 11, 17, 23, 29, 35. (Difference of 6)
4000, 1000, 250, 62.5, 15.62, 3.90 (divide by 4)
As for the formulas I’m not sure, but I I would guess something like
an=6n-1
an=n/4
I am not sure about the formulas though
If p = 2 and q = 8, the value of p3 + V64 q ls____
Answer:
518
Step-by-step explanation:
P = 2
Q = 8
p3 + 64q
Multiply "p" (which is 2) with 3
Multiply "q" (which is 8) with 8
Add the two numbers you get
And you have you answer
I hope this helps. :)
What is the equation of the line shown in the coordinate plane below?
Identify if the following relations are functions (yes or no)? Identify the domain and range for each.
{(-6, 5), (-4, 3), (-1, 0), (4, 3)}
Answer:
Step-by-step explanation:
domains:-6,-4,-1,4
Range:5,3,0,3
will you include the image of the line so i can answer the rest of the question?
y is inversely proportional to x. Given that y = 12 and x = 6. Find the value of y when x = 8.
Answer:
9
Step-by-step explanation:
formula for inverse proportion is y = [tex]\frac{k}{x}[/tex]
k is the constant of probability
to find k,
y is 12, x is 6
12 = [tex]\frac{k}{6}[/tex]
so x = 12 × 6
∴ k is 72
so y = [tex]\frac{72}{8}[/tex]
∴ y is 9
help
4. Which list shows the integers in order from least to greatest?
A) -8, -5, 0, 2, 6
B) 0, 2, -5, 6, -8
C) -5, -8, 0, 2, 6
D) 0, -3, -5, 2, 6
Determine how (if possible) the triangles can be proved similar.
Answer:
It's not similar :)
hope this helps<3
The triangles are not similar because the sides are not proportional.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
So we know that length of sides are proportional.
If we find the ratio of corresponding sides of the two triangles, then they must be equal to a common value.
We have only the length of two sides of each triangle.
If those sides are proportional, we must have an angle of each triangle to be equal.
Here, the angles formed by the intersecting lines are vertical angles and are thus equal.
Let's look if the sides are proportional.
20 / 36 = 5/9
24 / 42 = 4/7
Sides are not proportional.
Hence the given triangles are not similar.
Learn more about Similar Triangles here :
https://brainly.com/question/14926756
#SPJ2
Solve the equations by substitution method: A. 2x-y-3=0 and 3x+4y=65.
Step-by-step explanation:
[tex]\sf 2x-y-3=0\dots \dots (1)[/tex]
[tex]\sf 3x+4y=65 \\ \implies\sf 3x+4y-65=0 \dots\dots(2)[/tex]
from eq (1)[tex]{:}\longrightarrow[/tex][tex]\sf 2x-y-3=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-3=y [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 \dots\dots(3)[/tex]
Substitute the value in eq(2)[tex]{:}\longrightarrow[/tex][tex]\sf 3x+4y-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x +4 (2x-3)-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 3x+8x-12-65=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x-77=0 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 11x=77 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {77}{11}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=2x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 (7)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=14-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=11 [/tex]
[tex]\therefore[/tex][tex]{\underline{\boxed{\bf (x,y)=(7,11)}}}[/tex]
6 divided by 2/3 = tell me thee answer in fraction form
Answer:
There wouldn't be a fraction form because its a whole number which is 9
-6 5 4 3 2 1
1 2 3 4 5 6
1
1-2
-3
Water Slide
Restrooms
-5
Answer:
I am sorry what are you showing
A company that teaches self-improvement seminars is holding one of its seminars in Belmont. The company pays a flat fee of $250 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $4 to purchase books and supplies. Each attendee will pay $14 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take?
Answer:
Step-by-step explanation:
250 for place 4 for books each.
If they charge 14 per person, 4 of that goes for the books and 10 will be applied to the rental fee.
250/10= 25 people to break even. Any people beyond that is a profit of 10.00 since the other 4 will still go to the books.
Fill in the blank so that the relation is NOT A FUNCTION. Type a number only in the blank. The blank represents the x-value of the last ordered pair. {(4.5),(0, -1), (-7,0). (-3,8). ( type your answer .. -1)
The sum of four times a number and negative three is twelve. What is the number?
2 1/4
3 3/4
-2 1/4
6
Answer:
Dgfyb
Step-by-step explanation:
The volume of a solid cube is 1700m3.
Work out the surface area.
Give your answer rounded to 1 DP.
Answer:
849.7m2
Step-by-step explanation:
L= length
SA = surface area
volume = L x L x L
1700= L x L x L
find cube root
=11.93m
round off to 1 dp
=11.9m
SA= 6( L x L)
= 6( 11.9 x 11.9)
=6(141.61)
=849.66m2
round off to 1 dp
=849.7m2
Ok now these are my very last points please help
Answer:
wait what grade are you in ?
Evaluate the function f(x) = x/3+4 for f(-9).
a. -23
b. -2
c. 7
d. 1
Answer:
d. 1
Step-by-step explanation:
To evaluate a function, plug the number in the parentheses into the expression in place of x:
(-9/3) + 4 = 1
Answer:
option d.
Step-by-step explanation:
answer is 1
as LCM is 3
-9/3+ 4/1*3/3=
-9+12/3= 3/3
=1
Evaluate the expression for 1/2(2x+8)+6x and explain your process
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)
=x+4
x+4+6x
=7x+4
PLS GIVE BRAINLIEST
Answer:
7x+4
Step-by-step explanation:
1/2(2x+8)+6x
divide by 2 or multiply 1/2 it equals the same anyway
x+4+6x
add like terms
7x+4
on saturday keisha ran 2.175 kilometers. on sunday she ran 1.88 kilometers. how much farther did she run on saturday than on sunday?
Pls help fast I don't know what to do
Answer:
0.295
Step-by-step explanation:
you needed to subtract 2.175-1.88=0.295