Answer:
The light intensity is 528 foot-candles at 5 feet
Step-by-step explanation:
If x and y are in inverse variation, then x y = k, where k is the constant of variation
In the given question
∵ The intensity I, of light received at a source, varies inversely as the
square of the distance d, from the source
→ That means I × d² = k, where k is the constant of variation
∴ I × d² = k
∵ I = 33 foot-candle at d = 20 feet
→ Substitute them in the rule above to find k
∴ 33 × (20)² = k
∴ 33 × 400 = k
∴ 13200 = k
→ Substitute the value of k in the equation
∴ I × d² = 13200 ⇒ equation of variation
∵ d = 5
→ Substitute it in the equation to find I
∵ I × (5)² = 13200
∴ I × 25 = 13200
→ Divide both sides by 15
∴ I = 528
∴ The light intensity is 528 at 5 feet
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3
Answer:
i think that the answer is the first equation
Step-by-step explanation:
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line passing through the points (0, 3) and (6, 11).
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can find the slope of the line by using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where
[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]
So,
m = (11 - 3) / (6 - 0) = 8/6 = 4/3
The slope of the line is 4/3.
Next,
We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:
[tex]y - y_1 = m(x - x_1)[/tex]
Choosing the point (0, 3), we get:
y - 3 = (4/3)(x - 0)
Simplifying and solving for y, we get:
y = (4/3)x + 3
Therefore,
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
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What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
How many solutions does 7x -10 = 7(x+3)
Answer: The answer to this question is that there is no solution to that problem
Step-by-step explanation:
Duane recorded the temperature outside his window one morning. On the second day, the temperature went up 7 degrees. On the third day, the temperature went down 10 degrees. On the fourth day, the temperature went down 6 degrees, and it was 1°F. What was the temperature on the first day?
Answer:
The temperature on the first day was 10 °F.
Step-by-step explanation:
Let's find the temperature in every single step starting from the fourth day:
[tex]T_{4} = T_{3} - 6 F = 1 F[/tex]
[tex] T_{3} = 1 F + 6 F = 7 F [/tex]
Then, the temperature of the third day was 7 °F
On the third day:
[tex] T_{3} = T_{2} - 10 F = 7 F [/tex]
[tex] T_{2} = 7 F + 10 F = 17 F [/tex]
Hence, the temperature on the second day was 17 °F.
Now, on the second day:
[tex]T_{2} = T_{1} + 7 F = 17 F[/tex]
[tex] T_{1} = 17 F - 7 F = 10 F [/tex]
Therefore, the temperature on the first day was 10 °F.
I hope it helps you!
anyone please help!!!
Answer:
11
Step-by-step explanation:
Answer:22(a)
Step-by-step explanation:22 is a factor of 66
Dan can ride his skateboard 2 miles in 10 minutes. How many miles can he ride his skateboard in 30 minutes?
Answer:
6
Step-by-step explanation:
lus
If f(x) = 3x + 7, find:
f(3) = [?]
Answer:
The answer is 16
Step-by-step explanation:
You substitute 3 in for x.
ILL MARK U BRAINLIEST HELP
Answer:
6x-y
Step-by-step explanation:
Add the two expressions
Answer:
6x + -y
Lets simplify this step by step:
2x + 7y + 4x −8y
2x + 7y + 4x + −8y
Then we combine like terms
=2x + 7y + 4x + −8y
=(2x + 4x) + (7y + −8y)
= 6x + −y
Wahts the value of N
Answer:
n=7
Step-by-step explanation:
33-19÷2= 7
sorry if my answer is wrong
using long Division perform (a²-22a+17)÷(a-13)
Answer:
wherw are yiu coms on email kingrizvi218
will give brainiest pls help
Answer: b
Step-by-step explanation:
B
Answer:
The American Revolutionary War (1775–1783), also known as the American War of ... Britain remained under siege in Gibraltar but scored a major victory over the French navy. ... in America, and the colonial legislatures argued that they had exclusive right .... Howe then seized control of New York City on September 15
Step-by-step explanation:
solve for all the values of the interior angles
Answer:
x = 6
Step-by-step explanation:
measure of angle E: 5(6) + 8 = 38
measure of angle D: 6(6) + 8 = 44
measure of angle C: 180 - 82 = 98
check answers by adding all 3 angle measures to make sure they equal 180 degrees
calculate the value of the expression (-8)·(-1/3)
Answer:
8/3
Step-by-step explanation:
If we multiply it the subtraction will cut off and 8 will mulitply to 8/3.
Y+4=2(x+3) In slope-intercept form
Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
Hari's weekly allowance varies depending on the number of chores he does. He received $20 in allowance the week he did 14 chores, and $14 in allowance the week he did 2 chores. Write an equation for his allowance in slope-intercept form. The equation for Hari's allowance in slope-intercept form is
explain better or brainliest cant do that
A sports store is having a 20% off sale on skis. The original price of the ski is $560.00
The tax rate is 8.5%. What is the total cost of the skis?
Answer:
Total cost: 486.080$
Step-by-step explanation:
Original Price: 560.000$
Sale: 20%
Discount: 560.000$ * 20% = 112.000$
Discounted Price: 560.000$ - 112.000$ = 448.000$
Tax Rate: 8.5%
Tax: 448.000$ * 8.5% = 38.080$
Tax after Tax: 448.000$ + 38.080$ = 486.080$
PLZ HELP ME ASAP!!!!
Answer:
I cant see the picture
Step-by-step explanation:
I cant see the picture
write an equation in slope intercept form for the line that passes through (1,-1) and is parallel to the line described by y=2x-4
PLEASE HELP:(((((
If 2 lines are parallel, their slopes are the same, so all we need to do is plug in the given point and slope in the equation y = mx + b and solve for b.
[tex]-1 = 2(1) + b\\\\-1 = 2 + b\\\\-3 = b[/tex]
The equation of a line in slope-intercept form that goes through (1, -1) and is parallel to the line y = 2x - 4 is [tex]y = 2x - 3[/tex].
there are 40 boys and 20 girls at the party 35% from boys wearing glasses and 60% girls wearing how many people wearing glasses glasses
Answer:
12 g 14 b
Step-by-step explanation:
.
If 15 ounces of candy cost $3.75 what is the price per unit
Answer:
$0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
Answer:
0.25 per ounce
Step-by-step explanation:
3.75 divided by 15 is 0.25
15 POINTS PLEASE HELP!
Answer:
buddy...u weren't able to attach it properly...
Step-by-step explanation:
u may type it out in the comments...
Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
Answer:
Volume of a cylinder, V = πr^2h
but r= d/2
therefore, Vol = π(d/2)^2h
from the parameters given,
Vol = π(18/2)^2h
=81πh
16(x+3)=4(x+9)
solve for x
⭐ Respuesta :
Ecuación : 16 (x + 3) = 4 (x + 9)⭐ Resolvemos :
[tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]
⭐ Explicación paso a paso :
16 (x + 3) = 4 (x + 9)
Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"16x + 48 = 4x + 36
Términos semejantes ...16x - 4x = 36 - 48
Restamos respectivamente ...12x = -12
El número 12 multiplicando a "x" pasa a dividir...x = -12 ÷ 12
Dividimos y ya tenemos el resultado!! ^-^ x = -1❤ Ver mas ejemplos : brainly.lat/tarea/29507142 ❤
-2y - 3y + 8 = 8 -5y - 12
solve this equation fast please
You toss a coin, roll a dice, and choose a card out of 52 decks of cards. What is the likely hood that you will toss tails, roll an odd number, and choose ace.
Answer:
~0.02% chance
Step-by-step explanation:
coin: 1/2 chance
dice: 3/6 chance
cards: 4/52 chance
1/2x3/6x4/52 = 0.02% percent chance
In which story is the answer to the question 0?
1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?
2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?
Answer:
2
Step-by-step explanation:
It was +2 in the morning. -2 would make it 0.
the second story is the answer
5(88) using distributive property and mental math
solve the equation or inequality.
5t - 3 (7t + 1) < 93
Step-by-step explanation:
5t-3(7t+1) < 93
Remove the parentheses
5t-21t-3 < 93
-16t < 93+3
-16t < 96
Divide both sides by 16
-t<96/16
-t<6
t > -6
Answer: The inequality t < 6 is the correct answer.
Step-by-step explanation:
5t - 3 (7t + 1) < 93 <--- This is the original equation.
5t + (7t + 1) - 3 < 93 <---- Use commutative property.
16t - 3 < 93 <--- Simplify
16t - 3 + 3 < 93 + 3 <---- Add 3 to both sides,
16t < 96 <--- Simplify and do addition.
[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.
t < 6 <--- is the answer to the inequality.
Hope this helps! :D
(x+1)-6(x+1)+8 how to factorise it?
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)
For any rectangle ABCD, determine whether each statement is always, sometimes, or never true. ∠a≅∠b
Answer:
always
Step-by-step explanation:
no matter what the angles of a rectangle will be 90 degrees so the answer is always
Answer:
Step-by-step explanation:
Consecutive angles are equal only when dealing with a square or a rectangle. All other 4 sided figures do not have this property.
So the answer is sometimes.