The distance of the image from the lens V=22.5cm and the height of the image h=6.25cm.
What will be the distance and the height of the image placed in front of the convex lens?
It is given that
Hieght of an object H = 5cm
Distance of an object =18cm
Focal lenght of lens = 10cm
As we know that the lens formula is given by
[tex]\dfrac{1}{f} =\dfrac{1}{v} +\dfrac{1}{u}[/tex]
[tex]\dfrac{1}{v} =\dfrac{1}{10} -\dfrac{1}{18}=\dfrac{8}{180}[/tex]
so now
[tex]v= \dfrac{180}{8} =22.5\ cm[/tex]
Now to find the height of the image
[tex]\rm magnification =\dfrac{v}{u} =\dfrac{-Image\ Hieght }{object\ height}[/tex]
[tex]\rm magnification =\dfrac{22.5}{18} =\dfrac{-x}{5}[/tex]
[tex]x=-6.25\ cm[/tex]
Thus the distance of the image from the lens is V=22.5cm and the height of the image h=6.25cm.
To know more about convex lenses follow
https://brainly.com/question/6639542
Simplify the expression
Answer:
Step-by-step explanation:
7x³ - x²/ 2x³
= x²(7x - 1)/ 2x³
= x × x(7x - 1)/ 2 × x × x × x
= 7x - 1/2x
I guess this is the simplification needed
Suzanne bought a sweater at the sale price of $40.
The original cost of the sweater was $60. What
percent represents the discount Suzanne received
when buying the sweater?
40 / 60 = 2 / 3 = 33% off
she got a 33% discount
Sarah’s store started selling sneakers. If she sells 5 pairs of sneakers every 2 hours, then how many pairs of sneakers would she sell after 12 hours?
Answer:
Sarah sold 30 pairs of sneakers in 12 hours.
Step-by-step explanation:
2 hours = 5 pairs of sneakers
2 x 6 = 12
5 x 6 = 30
12 hours = 30 pairs of sneakers
The nth term of a certain sequence is given as Un=(4-n)^2-1. Write down the first five terms of the sequence
The first five term of the sequence is as follows:
first term = 8second term = 3Third term = 0fourth term = -1fifth term = 0What is a Sequence?A sequence is an ordered list of numbers . Therefore,
nth term = (4 - n)² - 1where
n = number of term
let's find the first 5 term as follows:
first term = (4 - n)² - 1 = (4 - 1)² - 1 = 8second term = (4 - n)² - 1 = (4 - 2)² - 1 = 3Third term = (4 - n)² - 1 = (4 - 3)² - 1 = 0fourth term = (4 - n)² - 1 = (4 - 4)² - 1 = -1fifth term = (4 - n)² - 1 = (4 - 5)² - 1 = 0learn more on sequence here: https://brainly.com/question/14147167
write an inequality that represents the graph
Answer:
x<-2
Step-by-step explanation:
x<-2. The line is going to the left of two so it is less then two and the open circle means its only less then not less then or equal to.
This scale has a meaningful zero point and equal intervals; therefore, it can be manipulated by all mathematical principles
A. Interval scale
B. Nominal scale
C,.Ordinal scale
D. Ratio scale
Find the area. HELP PLEASE!!!!
Answer:
I think that you should multiply I'm not quite sure.
Given budgeted sales of 10,000 units, desired ending inventory of 5,000 units, and beginning inventory of 2,000 units, required production is ______ units. Multiple choice question. 15,000 13,000 7,000 10,000
Based on the information given the required production is 13,000 units.
Required productionUsing this formula
Required production=Budgeted sales units+Ending inventory units-Beginning inventory units
Let plug in the formula
Required production=10,000 units+5,000 units-2,000 units
Required production=13,000 units
Inconclusion the required production is 13,000 units.
Learn more about required production units here:https://brainly.com/question/13061264
Simplify the rational
Answer:
[tex] \frac{xy}{3} \\ [/tex]
............
20 POINTS!! What would be the first step to solve this equation?
-3x = -21
A. Add 3 to both sides
B. Divide by -3 on both sides
C. Multiply by -3 on both sides
D. Add 21 to both sides
Answer:
its b
Step-by-step explanation:
because you always have to divide by the number on top
Find the missing angles in the parallelogram.
Answer:
85, 95, 95
Step-by-step explanation:
A = 85
B = 95
C = 95
I hope this helped!
teddy has 2 piggy banks. the difference in the amount of money between the two piggy banks is no more than $10. one piggy bank has $7.31 in it. select the choices that make the inequality and statement about the possible amount of money in the other piggy bank
Answer:
2.69
Step-by-step explanation:
hope this helps and have a good day
The terminal ray of ∠A passes through the point (−4,−6). ∠A is drawn in standard position. What is the value of cscA?
The terminal ray of an angle A passes through the origin
The value of csc(A) is -1.2
How to determine the cosine of angle AThe coordinates of the terminal ray is given as:
(x,y) = (-4,-6)
Start by calculating the length (L) of the hypotenuse
[tex]L = \sqrt{x^2 + y^2}[/tex]
So, we have:
[tex]L = \sqrt{(-4)^2 + (-6)^2}[/tex]
Evaluate the exponent
[tex]L = \sqrt{52}[/tex]
Evaluate the root
[tex]L = 7.2[/tex]
The sine of the angle A is then calculated as:
[tex]\sin(A) = \frac{-6}{7.2}[/tex]
The csc of the angle A is then calculated as:
[tex]\csc(A) = \frac{1}{\sin(A)}[/tex]
So, we have:
[tex]\csc(A) = \frac{7.2}{-6}[/tex]
[tex]\csc(A) = -1.2[/tex]
Hence, the value of csc(A) is -1.2
Read more about terminal rays at:
https://brainly.com/question/12121125
What is the solution to the equation?
5(8 + 7) = 5•x + 5•7
Answer:
x = 8
Step-by-step explanation:
5( 8 + 7 ) = 5 ⋅ x + 5 ⋅ 7
Add 8 and 7 to get 15.
5 × 15 = 5x + 5 × 7
Multiply 5 and 15 to get 75.
75 = 5x + 5 × 7
Multiply 5 and 7 to get 35.
75 = 5x + 35
Swap sides so that all variable terms are on the left-hand side.
5x + 35 = 75
Subtract 35 from both sides.
5x = 75 − 35
Subtract 35 from 75 to get 40.
5x = 40
Divide both sides by 5.
x = [tex]\frac{40}{5}[/tex]
Divide 40 by 5 to get 8.
x = 8
evaluate 3a if a = 7
show me working out if possible
Answer:
21
Step-by-step explanation:
3a
a=7
∴3a=3×7
21
hope this helps!!!!!!!
how to solve 5f=41-3f-9
~Shoto Todoroki here~
1. Subtract the numbers
2. Rearrange terms
3. Add to both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
F=4hope this helps :D
1/2 x - 7 = 1/3 (x - 12)
X=18
Step-by-step explanation:
1/2x-1/3x=7-4
1/6x=3
X=18
simplify this number urgent please
(3⅓+5¾)-2⅚
The simplified answer would be 6 1/4
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
The initial investment is compounded annually 3.25%
That means the equation will look like this:
[tex]500(1 + 0.0325) = 500 + 500 * 0.0325[/tex]
500(1 + 0.0325) is the initial investment plus the initial investment times the percentage which in the end will give you the total amount after the investment is compoundedHowever, we want it compounded yearly for every year after the first initial investment
---> [tex]500(1+0.0325)^t[/tex]
Therefore the equation is the amount of money in the account after 't' year or the second choice.
Hope it helps!
p.s. the diagram I attached will help you understand where I got my equations from
Compare to the compound interest formula
[tex]\\ \rm\longmapsto P(1+r)^nt[/tex]
nt is number of yearsnow
P(t)=500(1+0.0325)^tt years is correct
Option B
1 and 2 are complementary angles. The measure of 1 is 83. The measure of 2 is 7x-1. Find the value of x
Answer: 8/7
Step-by-step explanation:
In February, the amount of snowfall was 2 3/8 feet. In March, the amount of snowfall was 1 1/3 feet. What was the amount of snowfall in the two months combined?
Answer:3 17/24 feet
2 3/8+1 1/3=3 17/24
Step-by-step explanation:
A pizza parlor cuts their pizzas into six pieces
a) what fraction of the pizza is each slice?
b)Joan ate 1 3/4 or 7/4 pizzas. How many slices was that knowing that they cut each pizza in 6 pieces?
c) How many slices are left over? Pls explain! :)
I will give you 50 POINTS:D
Answer:
Hi im not sure but if I was doing this this is what i would say
Step-by-step explanation:
a) since the pizza is split in 6th then the pizza would be 6/6th
b) 7/4 is equal to 1 2/4 ( not 100% simplified ) but 1 2/4 also equals to 6/6ths because 1 2/4 = 4+2=6 (not the best accurate explanation )
c) no slices are left over if joan ate 7/4th of the pizza XD
Solve for X
2.50X = 4.25
Answer:
1.70
Step-by-step explanation:
x=4.25/2.50=1.70
In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?
Answer: 45 degrees
Step-by-step explanation:
The goal of the fundraiser is to make more than $150
Answer:
yes?
Step-by-step explanation:
(xyz)^2=____, the expression without exponents is?
Answer:
xxyyzz
Step-by-step explanation:
(xyz)²=x²y²z²= x*x*y*y*z*z
Answer:
[tex]xxyyzz[/tex]
Step-by-step explanation:
[tex](xyz)^{2}[/tex]
[tex]= x^{2} y^{2} z^{2}[/tex]
[tex]= xxyyzz[/tex]
ABCD is an isosceles trapezoid with legs AB and CD and with base BC. If AB=6z - 5 and BC = 7z +4 and CD = 4z +3
Answer:
Step-by-step explanation:
As it is an isosceles trapezoid,
AB = CD
6z - 5 = 4z + 3
To find the value of z, isolate z.
Add 5 to both sides
6z = 4z + 3 + 5
6z = 4z + 8
Subtract 4z from both sides
6z - 4z = 8
2z = 8
Divide both sides by 2
z = 8/2
z = 4
AB = 6z - 5
= 6*4 - 5
=24 - 5
AB = 19
CD = 4z + 3
= 4*4 +3
= 16 +3
CD = 19
BC = 7z + 4
= 7*4 + 4
= 28 + 4
BC = 32
If a student scored an 82, use your line of best fit to predict how many hours the student
watched TV.
O 0.97 hours
O 2.16 hours
0 3.25 hours
O 7.39 hours
Answer:
2.16
Step-by-step explanation:
I took the quiz
if 1 inch represents 85 miles on map then how many inches will represent 800 miles
Answer:
9.41 inches to the nearest hundredth.
Step-by-step explanation:
By proportion, it is 800 / 85
= 9.41 inches.
8th grade math help!!
Step-by-step explanation:
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
h(b1 + b2) = 2A
h = 2A/(b1 + b2)