According to the given statement The total far distance = 88.2cm
Where does lens formula came from?A lens equation, sometimes known as a lens formula, is an equation that connects focal length, image distance, as well as object distance. . where v is the distance between the picture and the lens, u is the object distance, and f is the focal length
What is the lens's power?A lens's power is defined as both the reciprocal of its focal length. It is symbolized by that the letter P. P=1f gives the power P of something like a lens with a focal length of f (in m). The SI unit of lens power is a 'diopter.'
According to the given data:P = -1.16
The expression of the focal length is represented as:
f = 1/p
p is the power.
so,
f = 1/-1.16
= -0.862
= -86.2 cm
the expression for the lens formula is:
1/f = 1/v - 1/u
1/(-86.2) = 1/v - 0
v = -86.2
The total distance is represent as:
d = v + s
so,
d = 86.2 + 2
= 88.2 cm
The total far distance = 88.2cm.
To know more about focal length visit:
https://brainly.com/question/16188698
#SPJ4
Need asap
What is the product of 11/12 and 240/121
Answer:
20/11
Step-by-step explanation:
Recall that the word "product" means multiplication.
We're asked to multiply 11/12 by 240/121
Once multiplied, we get:
20/11 or 1.81 (in decimal form)
Answer:
c) 20/11
Step-by-step explanation:
Given problem,
→ (11/12) × (240/121)
Then required product will be,
→ (11/12) × (240/121)
→ (11 × 240)/(12 × 121)
→ 2640/1452
→ 20/11
Hence, option (c) is correct.
Make up two different equations that equal 8.4 x 10^-5
Answer:
assuming that "x" is a multiplication symbol
(4.2*2)10^-5
0.00001 * 8.4
Are the two lines parallel and why?
The graph has two lines and the lines are parallel lines.
Given that,
There is graph in the picture with 2 lines and 4 points.
The points are A=(0,6) and B=(8,0) of line 1.
The points are C=(-3,4) and D=(0,2) of line 2.
From the line 1 points A and B we can find the equation by using the slope equation formula.
Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]
Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]
Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]
Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].
So, from the 2 equation we have
6x+8y-48=0 and 2x-3y+12=0.
[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]
[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]
We have to check weather it satisfy the condition or not.
[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]
Therefore, it satisfy the condition so the lines are parallel lines.
To learn more about lines visit: https://brainly.com/question/17188072
#SPJ1
prove that:tan²0-cot²0=sec²0(1-cot²0)
Answer:
Step-by-step explanation:
help please will give brainliest
Answer:
Step-by-step explanation:
[-6, ∞)
-6 with bracket because open circle means not equal to.
positive ∞ because arrow shows x going forever.
I can evaluate an algebraic expression for given values using the order of operations.
2. Evaluate x^2 + yz for x = 7, y = 5, and z = 3.
The value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.
How to calculate the expression?It should be noted that from the information, we are to evaluate x² + yz for x = 7, y = 5, and z = 3.
This will be illustrated as:
= x² + yz
= 7² + (5 × 3)
= 49 + 15
= 64
Therefore, the value of the expression for x² + yz when x = 7, y = 5, and z = 3 is 64.
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
In this problem, you will investigate the relationship between same-side exterior angles.
c. Make a conjecture about the relationship between the pair of angles formed on the exterior of parallel lines and on the same side of the transversal.
The relationship between the angles formed on the exterior of parallel lines on the same side is Co-Exterior Angles
In the picture mentioned, there are two lines m and n parallel to each other and a transversal t. It forms exterior angles on the same side of the transversal as highlighted. According to the property of Co-exterior angles,
=> ∠1 ≅ ∠8
=> ∠2 ≅ ∠7
When a transversal is constructed on parallel lines, there are angles formed on both interior and exterior sides of the parallel lines. The pair of angles formed on the exterior side of parallel lines which are on the same side of the transversal dropped on the parallel lines are called Co-exterior angles. These angles formed are congruent to each other.
To know more about the Properties of Angles, Click here :
https://brainly.com/question/17147541
#SPJ4
Could anybody explain to me what both the question is asking in a simple way. For a dummy.
HELP ASAP!!! WILL MARK BRAINLIEST!! What are the coordinates of G after it is reflected over the x-axis?
Answer:
G'( -4 , -3 )
Step-by-step explanation:
Use the rule ( x, y ) changes to ( x , -y )
The original point of G is ( -4, 3 )
The x value stays the same, -4
The y value is multiplied by (-1), (3)(-1) = -3
y varies directly with x .
If y=4 when x=-2 , find x when y=6 .
Using direct variation, As y varies directly with x, for y=6 the value of x will be -3.
What is direct variation?Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
As y varies directly with x,
Using direct variation,
⇒ y = kx
⇒ 4 = k (-2)
⇒ k = -2
⇒ For y = 6,
⇒ x = y / k
⇒ x = 6 / -2
⇒ x = -3
To learn more about direct variation from given link
https://brainly.com/question/2375770
#SPJ4
Use the equation below to find a, if b=3 and h=4 .
What is the question?
If there is a 'b' variable, switch it out with 3, so ex; 8b would then be 8(3), or 8*3. Same thing with h. If there is an 'a' variable, then you have to get everything gone but the variable. If you send over the question I can help
Identify the property that justifies the statement.
Δ ΧΥΖ ~Δ ΑBC and Δ ABC ~Δ PQR, so Δ XYZ ~Δ PQR.
Answer:
sym. prop of . now mark me as brainliest
Find the missing term(s) of each arithmetic sequence. 104, □, 99, ...... .
Answer:
a₂ = 101.5
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₁ = 104 and a₃ = 99 , then
104 + 2d = 99 ( subtract 104 from both sides )
2d = - 5 ( divide both sides by 2 )
d = - 2.5
then
a₂ = 104 - 2.5 = 101.5
Does (10, 9) make the inequality 10x + 13y > 10 true?
yes
no.
Answer:
Yes (10,9) does make the inequality 10x + 13y > 10 true
Step-by-step explanation:
Substitute (10,9) in place of x and y 10(10) + 13(9) > 10Multiply the variables 10•10=100 and 13•9=117 100 + 117 > 10Add like terms 100 + 117= 217 Compare the answer to see if your variable is true since 217 > 10 a true statement then that means yes coordinates (10,9) make the inequality 10x + 13y > 10 trueHey Siri Rhea couple by basic car cost in $26, 500,000 with options costing 725,000
Ray's total cost was $28, 908.50
Ray Cupple bought a basic car costing at $26,500.00,
The options costing is $725.00.
The sales tax in the state is 6%
The combined cost for license and registration fee is $50.00
Cost price of car = $26,500 and the Cost of options= $725
Therefore, the total taxable cost=$26,500+ $725=$27225
Tax amount = 6% of Total taxable cost
=0.06 x $27225 = $1,633.5
Total cost = $27225 + $1,633.5 + $50
Total cost = $28,908.50
Therefore Ray's total cost was $28, 908.50
To learn more about tax calculation refer here
https://brainly.com/question/1775528
#SPJ1
Disclaimer : Your question was incomplete, the above mentioned answer is solved as per the following question "Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?"
Select all the statements that describe graph E
The graph represents a function that is non-linear, decreasing and continuous.
What are the features of curve seen in a graph?
In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:
The graph is non-linear, y is not changing at constant rate when x changes. The graph is decreasing, the slope of the curve become more horizontal inasmusch as x is increased. The graph is continuous, the curve itself represents an "infinite" set of points, a continuum of points.In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.
To learn more on non-linear functions: https://brainly.com/question/5758609
#SPJ1
m/ABC = 17x+8, mZABK = 42°,
and m/KBC = 12x - 4. Find m2ABC.
A
B
K
C
In an arithmetic sequence with a₁ =2 and d=-2 , which term is -82 ?
44th term of the sequence is -82.
What is sequence?In an arithmetic sequence with a₁ =2 and d=-2
-82 = 2 + (n-1)2
n-1 = -43
n = 44
An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.
Arithmetic sequences are sequences containing these patterns. The distance between succeeding terms in an arithmetic series is always the same. The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic.
An explicit formula that states a = d (n - 1) + c, where d is the common difference between succeeding words, and c = a1, can be used to establish an arithmetic sequence.
To learn more about arithmetic sequence from the given link:
brainly.com/question/15412619
#SPJ4
5. An arithmetic sequence is defined by:
a₁ = -8
an = an-1+4
What is the 7th term of the sequence?
Answer: 16
Step-by-step explanation:
an = an-1+4 ==> change in every term is +4
1=1st term
7=7th term
-8+4*(7-1)=
-8+4*6=
-8+24=16
A bouquet contains 12 roses and 10 yellow flowers. 9 of the roses are yellow. How many flowers are in the bouquet?
Answer:
31 flowers in the bouquet
3k+10=2k-21 (2-step equation)
Make a table of values for f(x) after the given translation. 4 units up.
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)+4
-2 -2 2
-1 -1 3
0 0 4
1 1 5
2 2 6
More problems related to the graph transformation are given in the link below.
https://brainly.com/question/10059147?referrer=searchResults
#SPJ4
La razón de niños a niñas en un baile de invierno es de 5 a 6. Si hay 90 niñas, ¿cuántos niños hay en el baile?
Mr. Forrest has 18 pepper plants and 24 green bean plants to put in adjacent sections of his garden. He wants the same number of plants in each row in both sections. What is the greatest number of plants he can have in one row?
Answer:
Henry's garden:
Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean
Simon's garden:
divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.
Step-by-step explanation:
Hope this helps!
Write an equation of the line using variable x and y that passes through the given points (1,-4) and (2,-1) .
Answer:
y=3x-7
Step-by-step explanation:
Equation of a Line: y=mx + b
Slope: 3/1 or 3
Y-int: -7
The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The equation of a line that passes through the point (1, -4) and (2, -1) is
y = 3x - 7
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
Two points:
(1, -4) = (a, b) and (2, -1) = (c, d)
The equation of a line can be written in the form:
y = mx + c
Slope:
m = (d - b) / (c - a) = -1 + 4 / 2 - 1 = 3 / 1 = 3
y-intercept:
Take a point (1, -4).
-4 = 3x1 + c
-4 - 3 = c
c = -7
Now,
The equation of a line is y = 3x - 7
Thus the equation of a line that passes through the point (1, -4) and (2, -1) is
y = 3x - 7
Learn more about equation of a line here:
https://brainly.com/question/14200719
#SPJ2
Distance between (0,0) to (2,5)
The distance between (0,0) and (2,5) is √29.
Given,
(0,0) to (2,5)
We need to find the distance between (0,0) and (2,5).
What is the distance formula between two points?It is given as:
If two points are (a,b) and (c,d)
d = √ ( c - a )²+ (d - b )²
Find the distance between (0,0) and (2,5).
We have,
d = √ ( 2 - 0 )² + ( 5 - 0 )²
d = √ 2² + 5²
d = √ 4 + 25
d = √ 29
Thus the distance between (0,0) and (2,5) is √29.
Learn more about how to find the distance between two points here:
https://brainly.com/question/22527005
#SPJ1
a coin is flipped 10 times with the following results: {T,T,H,T,T,T,H,T} where H is heads and T is tails. what is the experimental probability that the coin will be heads when it is flipped?
a. 0.5
b. 0.3
c. 0.7
d. 1.0
Answer:
c
Step-by-step explanation:
im pretty sure it is c because of the 50 50 shoot anically
Answer: T 0.5 H 0.3
Step-by-step explanation:
dont actually do this im a 5th grader who guessed
Find the value of x .
18=3 x √3
Answer:
Step-by-step explanation:
ask siri
Three competing subcontractors are reporting their average work output to a large project leader for a new housing development.
Rosk Construction provided an equation, where w represents the number of full weeks of work and a represents the estimated area of vinyl siding that can be installed in 100 ft2 units.
Equation from Rosk Construction: a = 62w
Fosbert’s Contracting provided a table indicating similar data from two jobs that had recently been completed by its crew.
Durable B Construction provided a graph showing the results of three of its recently completed jobs.
The unit rate for Rosk Construction is
The unit rate for Fosbert's Contracting is
The unit rate for Durable B Construction is
Using proportional relationships, the unit rates are given as follows:
Rosk: 62.Fosbert's: 65.Durable B: 63.What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, also called the unit rate k, as follows:
y = kx
For this problem, the functions are given as follows:
Rask: a = 62w. (from the text).Fosbert's: a = 65w. (from the missing information section).Durable B: a = 63w. (from the missing information section).The unit rates are the constants of proportionality, respectively, given by:
k = 62, k = 65 and k = 63.
What is the missing information?The functions for Fosbert's Contracting and Durable B Construction are missing, and are given as follows:
Fosbert's: a = 65w.Durable B: a = 63w.More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
is 4.3239673… rational or irrational?
Answer: How do you know if its rational or irrational?
What are rational and irrational numbers? Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
Step-by-step explanation: hope this helps!!!
