The required distance is 11.4 rounded to the tenth
If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light source, this is expressed as:
l = ka/dk is the variation constant
If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the source, the distance is calculated as:
l = a/d²
d² = a/l
d² = 516/4
d = √129
d = 11.4
Hence the required distance is 11.4 rounded to the tenth
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D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
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48/?=6
56/?=8
Help me!
3. the answer is 8
6. the answer is 7
Answer:
48/8=6
56/7=8
Step-by-step explanation:
48÷ 8 = 6
56÷ 7 = 8
Prove the triangles are similar.
Answer:
SAS similarity
Step-by-step explanation:
The two triangles MON and MQP are such that
Angle M = Angle M
MO/MQ = MN/MP
Therefore, Triangle MON ~ Triangle MQP (SAS similarity)
What is the domain of the function?
Enter your answer in the box.
demos.
Answer: the x or the input of a function
Step-by-step explanation:
Evaluate the expression when a=-2 and x=7.
-2a+x
Step-by-step explanation:
-2a + x
Putting values of a = - 2 and x = 7
-2(-2) + 7
4 + 7
= 11
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Photo down below! Will give brainiest to first (and correct) answer!
x = ____
m
m
m
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
13x - 8 + 7x + 4 + 3x = 180 , simplify left side
23x - 4 = 180 ( add 4 to both sides )
23x = 184 ( divide both sides by 23 )
x = 8
What is an equivalent expression to 7x - 3y + 8x ?
Pls look at the image that I uploaded
Answer:
15x - 3y
Explaination:
Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.
I hope this helps you.
90 is 150 of what number HELP
23. What lines intersect to form the circumcenter of a triangle?
angle bisectors
midsegments
altitudes
perpendicular bisectors
Answer:
(d) perpendicular bisectors
Step-by-step explanation:
The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.
The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.
Andrew spent $80 on travel last month.
Work out the amount Andrew spent on household bills last month.
Will give brainliest
could some one answer this
Answer:
12
Step-by-step explanation:
So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.
-> TIPS: 4x 1,50= 6 (dollars)
-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)
-> 1 SALAD: 48/4=12
-----------linear equation:-------------
54 = 4 x 1,5 + 4 x c
54 = 6 + 4c
48 = 4c
12 = c
There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?
Answer:2
Step-by-step explanation:
15/3 = 5
15/2 = 7.5
+1
= 13
15 - 13 = 2
=====================================================
Explanation:
The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.
The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.
Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.
Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}
We see that the following trees aren't marked: {2,6,8,12,14}
There are 5 items in that last set.
Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.
15×15×2+10-1=?
HELP!!! answering is worth 69 (hehe nice) points, will mark brainiest if you can make me laugh in the while of answering the question :)
Answer:
459
Step-by-step explanation:
15×15×2+10-1
15×15= 225 × 2 +10 - 1
225 × 2= 450 + 10 -1
450 + 10 = 460 - 1
460 - 1 = 459
A little true story:
A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
g(−3)=2
g(0) = 3g(0)=3
Step-by-step explanation:
Given
The attached graph
Required
Determine
g(-3)g(−3)
g(x) = 3g(x)=3
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
g(-3) = 2g(−3)=2
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
38 degrees 2x degrees +6 degrees
What is (0,1) and (4,2) in slope intercept form
Answer:
y = 0.25x+1
Step-by-step explanation:
Y= mx+b
m= 0.25
b= 1
hope this helps
Is 1 a real or an imaginary number?
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
Mark the sums of the integers as either positive or negative.
-8+(-9)
7+(-3)
5+(-12)
-12+15
The option A and C are negative. also, option B and D are positive.
What are integers numbers?Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
WE need to write the sums of the integers as either positive or negative.
-8+(-9) = -17
This gives the negative answer.
7+(-3) = 4
This gives the positive answer.
5+(-12) = -7
This gives the negative answer.
-12+15 = 3
This gives the positive answer.
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(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning
2. Write an equations for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.
-5x-/(3x-7)+4(3x-5)-(6x-9)
Answer:
-5x / 9x - 18
Step-by-step explanation:
= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying rule : ( a ) = a
then, ( 3x - 7 ) = 3x - 7
= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying the fraction rule : -a/b = a/b
= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= -5x / 9x - 8. Answer!
if 6 notebooks cost $15 how much would 1 notebook cost?
Answer:
well altogether it is 15 then it would be 3 dollars each
Step-by-step explanation:
:)
Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.
A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.
id like some help please!
im confused
Answer:
Angels D and G
Step-by-step explanation:
Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.
I hope this helps have a great day and happy holidays (｢•-•)｢
Answer:
∠D and ∠G
Step-by-step explanation:
Think about what alternate exterior angles are:
"Alternate" means on either side of each other"Exterior" means outside (the transversal BI).Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.
If all three angles of a triangle are congruent, what is each angle measure?
Answer:
60°
Step-by-step explanation:
180° in a triangle.
180° ÷ 3 = 60°
The measure of each of the given angles of a triangle is 60°.
What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.Given is that all three angles of a triangle are congruent.
Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -
∠A = ∠B = ∠C = X°
and also we can write -
X° + X° + X° = 180°
3X° = 180°
X° = 60°
Therefore, the measure of each of the given angles of a triangle is 60°.
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If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound
Answer:
96 dried beans will weigh one pound
30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
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Answer:
its b
Step-by-step explanation:
on usatp
A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet
write it in web and then u will find the answer in a calculator
The solution is Option A.
The scale factor of the blueprint is given by the equation 1 inch = 3 feet
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A blueprint has a scale of 4 inches = 12 feet
So , the value of equation A is
4 inches = 12 feet
Divide by 4 on both sides of the equation , we get
4 inches / 4 = 12 feet / 4
On simplifying the equation , we get
1 inch = 3 feet
Therefore , the value of A is 1 inch = 3 feet
Hence , the scale factor of the blueprint is 1 inch = 3 feet
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How here we get 2 x 22 x 10
And how we multiply the formula of pi with any number
Answer:
The formula of pi is approximately 3.14 2×3.14