The value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
What is interseting chord theorem?The interseting chord theorem states that, when two chords in a circle intersect each other, then the product of their segment is equal.
For circle h in the given problem,
\(JN = 5, \\NK= 4, \\LN =2\),
The value of segment NM is x. The figure of the circle h is attached below. In this figure, using the interseting chord theorem the chords can be given as,
LN×NM=JN×NK
2×x=5×4
x=20/2
x=10
Thus, the value of x for the circle h with chords jk and lm intersecting at n inside the circle is 10.
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If a = b + 6 but a also = b * 3, what are the variables?
Answer:
a = 9, b = 3Step-by-step explanation:
Given:
a = b + 6a = b*3Then, eliminate a:
b + 6 = 3b2b = 6b = 3Find a:
a = 3+ 6 = 90.7,65%,5/8,2/3 least to greatest
Answer:
u have the right order my friend
Step-by-step explanation:
A movie ticket costs $9.A concert ticket costs $45. Which equation can be used to find how many times as much the concert ticket costs than a movie ticket?
Answer:
45/9=5 times
Step-by-step explanation:
Answer:
its 45 times 9=
Hope this helps!!
On Diwali, Ranjana packed 90 chocolates in a box. She has an order of 1875 boxes. How many chocolates does she need to complete the order?
Please write it in academic style, rather than just answer.
Answer: 168,750 chocolates
Step-by-step explanation:
If there are 90 chocolates in a box and there are 1,875 boxes, you multiply 1,875 by 90 to get the total number of chocolates needed to complete the order.
1,875 * 90 = 168,750
There are 168,750 chocolates needed to complete the order.
Set up integrals to find the volumes of the solids formed by revolving the region bounded by the graphs of y = 16 – x2 and y = 0 about the following lines: = b y = -5: Volume is dx where a = and b= a b . y = 32: Volume is !!! dx where a = and b = si s b x = 8: Volume is = ::: dy where a = and b= !! a
The volumes of the solids formed by revolving the given region about the specified lines are as follows:
a) Volume = π∫[a,b] (16 – x^2)^2 dx, where a = -5 and b = 0.
b) Volume = π∫[a,b] (32 – y)^2 dy, where a = 0 and b = 16.
c) Volume = π∫[a,b] (8^2 – x)^2 dx, where a = 0 and b = 16.
a) To find the volume when revolving about y = -5, we integrate the squared equation of the given region (y = 16 – x^2) with respect to x from -5 to 0.
b) When revolving about y = 32, we integrate the squared equation (y = 16 – x^2) with respect to y from 0 to 16.
c) Finally, when revolving about x = 8, we integrate the squared equation (y = 16 – x^2) with respect to x from 0 to 16.
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Multi step equation 12 threw 14 pls
Answer:
wish you bad luck you dummy
The computation of the equation shows that the answers will be:
12. 340 units
13. 2(270) + (2 × x) = 690
14. x = 5
How to compute the equations?12. The first equation that's given will be:
(13.50 × x) - (3.65 × x) = 3349
13.50x - 3.65x = 3349
9.85x = 3349
x = 3349/9.85
x = 340
The number to break even is 340 units
13. The equation that can be used to find the perimeter will be:
2(270) + (2 × x) = 690
540 + 2x = 690
2x = 690 - 540
2x = 150
x = 150/2 = 75
14. x + x + 2 + 8 = 20
2x + 10 = 20
2x = 20 - 10
2x = 10
x = 10/2
x = 5
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Cam saved $270 each month for the last three years while he was working. Since he has now gone back to school, his income is lower and he cannot continue to save this amount during the time he is studying. He plans to continue with his studies for five years and not withdraw any money from his savings account. Money is worth4.8% compounded monthly.
(a) How much will Cam have in total in his savings account when he finishes his studies?
(b) How much did he contribute?
(c) How much will be interest?
Cam will have approximately $18,034.48 in his savings account when he finishes his studies.
How much will Cam's savings grow to after five years of studying?Explanation:
Cam saved $270 per month for three years while working. Considering that money is worth 4.8% compounded monthly, we can calculate the total amount he will have in his savings account when he finishes his studies.
To find the future value, we can use the formula for compound interest:
FV = PV * (1 + r)^n
Where:
FV is the future value
PV is the present value
r is the interest rate per compounding period
n is the number of compounding periods
In this case, Cam saved $270 per month for three years, which gives us a present value (PV) of $9,720. The interest rate (r) is 4.8% divided by 12 to get the monthly interest rate of 0.4%, and the number of compounding periods (n) is 5 years multiplied by 12 months, which equals 60.
Plugging these values into the formula, we get:
FV = $9,720 * (1 + 0.004)^60
≈ $18,034.48
Therefore, Cam will have approximately $18,034.48 in his savings account when he finishes his studies.
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Express 2x² - 12x + 7 in the form a (x + b)² + c, where a, b and c are constants.
Answer:
2(x-3)² - 11 where a = 2, b = -3, c = -11
Step-by-step explanation:
Taking the first 2 terms,
2x² - 12x ==> 2(x² -6x) [1]
x² -6x can be rewritten as (x -3)² - 9 [2]
since (x-3)² = x² -6x + 9
Substituting for x² -6x in [1] we get
2(x² -6x) = 2((x -3)² - 9 ) = 2(x-3)² -18
Therefore substituting for 2x² - 12x in the original equation we get
2x² - 12x + 7 = 2(x-3)² -18 + 7 ==> 2(x-3)² -11
this is in the form (a(x+b) + c where a = 2, b = -3 and c= -11
Cross-check
2(x-3)² - 11 ==> 2 (x² -6x +9) -11 ==> 2x² -12x +18 - 11 ==> 2x² -12x + 7
30. The school choir is qetting ready for their spring concert. There are 48 members in the choir and each choir member expects to have ten people in the audience. How many rows of chairs will need to be set up if each row has
30 chairs in it?
Answer:
16 rows
Step-by-step explanation
48x10=480, then divide 480 by 30. 480÷30=16. So, there will be 16 rows.
A cylindrical tank is one-fifth full of oil. The cylinder has a base radius of 80 cm. The height of the cylinder is 200 cm. 1 litre 1000 cm3 How many litres of oil are in the tank? Round your answer to the nearest litre
The number of litres (Volume) of oil that is present in the tank of given dimension is calculated to be 806 litres (approximately).
The volume of any cylinder can be calculated using the formula,
V = πr²h
(Here V is the volume, r is the radius of the base, and h is the height of the cylinder)
As, the cylinder is one-fifth full of oil, which means that it is four-fifths empty. Therefore, the volume of oil in the tank is:
Volume of oil = (1/5) x Total Volume
Substituting the given values, we have:
Total Volume = π(80cm)²(200cm) = 4,031,240 cm³
Volume of oil = (1/5) x 4,031,240 cm³ = 806,248 cm³
Converting cm³ to litres, we have:
1 litre = 1000 cm³
Volume of oil = 806,248 cm³ ÷ 1000 = 806.248 litres
Therefore, after rounding of the final volume (806.248 litres) to the nearest litre, the final answer is found to be 806 litres of oil.
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Simplify the expression to a + bi form
\( - \sqrt{4 } + \sqrt{ - 48} + \sqrt{121} - \sqrt{ - 108} \)
-√4 + √(-48) + √121 + √(-108)
= -√(2²) + √(-1 • 3 • 4²) + √(11²) + √(-1 • 2² • 3³)
= -2 + 4√3 i + 11 + 6√3 i
= 9 + 10√3 i
What is the perimeter of this polygon? Someone please help will mark brainliest
The perimeter of a square is 4s, where s is the length of one side.
Find the perimeter of the square at the right. Show unit analysis.
7 ft
Answer:
28ft.
Step-by-step explanation:
If \(s\) equals 7 and the perimeter equals 4 times \(s\), then the perimeter would be 4 times 7.
2x = 15 + x
Solve for X
Need help asap pleaseeeeee
A cube has a surface area of 600 cm2 what is the area of one face of the cube
Answer:
The surface area of one face of the cube is 100 square centimeters.
Step-by-step explanation:
From the given diagram, we can conclude that a cube has 6 faces. To get the surface area of one face, we take the total surface area and divide it by 6, as following:
\(\frac{600}{6}\rightarrow100\)This way, we can conclude that the surface area of one face of the cube is 100 square centimeters.
A,B & C form a triangle where BAC = 90°
AB = 11.9 mm and CA = 2.7 mm.
Find the length of BC, giving your answer rounded to 1 DP
Answer:
12.2
Step-by-step explanation:
BC = √ABsq + √CAsq
BC = √11.9sq + √2.7sq
BC = √141.6 + √7.3
BC = √148.9
BC = 12.2
Best Buy has a 25% off any video game. Brady selected a game that originally costs $299. How much will he actually pay?
Answer:
$74.75 dollars not including tax
Find the average rate of change in the simplest form
Which is an example of a line segment? the edge of a book the corner of a box a beam of light the floor of a classroom
(D) the floor of a classroom is a perfect example of a line segment.
What do we mean by line segment?A line segment is a section of a straight line that is constrained by two distinct end points and contains every peak on the line between them. The Euclidean distance between the endpoints of a line segment determines its length. A closed line segment contains both endpoints, whereas an open line segment does not; a half-open line segment contains only one endpoint. In real life, a line segment can be represented by a ruler, a pencil, or a stick. The sun's rays are an illustration of a ray. The sun is the origin of the sun's rays, but there is no endpoint. A line segment is a perfect example of a classroom floor.Therefore, (D) the floor of a classroom is a perfect example of a line segment.
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The correct form of the question is given below;
Which is an example of a line segment?
(A) the edge of a book
(B) the corner of a box
(C) a beam of light
(D) the floor of a classroom
Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
A,B,C and D are markers on a park run route
Distance CD is 2 x distance AB
Distance for BC is 4 km
Sheena runs from A to C she runs 30 mins at the average speed of 14 km per hour
work out the distance AD
Answer:
A
D is 13 km
Step-by-step explanation:
30min:60h=0.5h *14km/h=7km
7-4=3km(AB)
4km(BC)
2*3=6km(CD)
3+4+6=13km
Answer:
13km.
Step-by-step explanation:
A
D is 13 km
30min:60h=0.5h *14km/h=7km
7-4=3km(AB)
4km(BC)
2*3=6km(CD)
3+4+6=13km
Hope this helps you!!
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Thankyou for joining Brainly Communicty!!!!! If z is a standard normal variable, find the probability.
P(Z < 0.97)
0.1660
0.8340
0.8315
0.8078
Answer:
the correct option is A
Step-by-step explanation:
hope this helps
Using the standard normal distribution table, the probability of having a Zscore less than 0.97 would be 0.8340
To obtain the probability z P(Z < 0.97) ; we use a standard normal distribution table or a Z probability calculator ;
Using a normal distribution table :
P(Z < 0.97) = 0.8339Therefore, the most appropriate option is 0.8340
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The diameter of a circular cookie cake is 16 inches. How many square inches make up half of the cookie cake? Approximate using π = 3.14.
100.48 square inches
200.96 square inches
401.92 square inches
803.84 square inches
please let me have premium i'll do something strange for a piece of change
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why. Yes, she is correct. No, the exponent should be positive 8. No, she multiplied the exponents instead of adding them. No, she multiplied the exponents instead of subtracting them.
Answer:
C
Step-by-step explanation:
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The product of 10⁻² and 10⁴ is 10². The product 10⁻⁸ is wrong.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given product of the exponents of 10⁻² and 10⁴ is wrong. The correct multiplication is done as below:-
P = 10⁻² x 10⁴
P = 10⁻²°⁴
P = 10²
Therefore, the product of 10⁻² and 10⁴ is 10². The product 10⁻⁸ is wrong.
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help with polynomails
If there are a total of 20 train cars and 184 wheels. What would be its constant of proportionality?
The constant of proportionality is 9.2
Total train cars = 20
Total wheels = 184
The constant of proportionality represents the relationship between two directly proportional quantities. In this case, the constant of proportionality represents the relationship between the number of train cars and the number of wheels.
Y = kx can be used to describe the relationship between two variables when they are directly or indirectly proportional to one another. To find the constant of proportionality in this situation, it is required to divide the number of train cars by the number of wheels.
Using the formula -
If the number of wheels (w) ∝ Number of train cars (t)
w = kt
Where k is the proportionality constant
Thus,
k = w/t
= 184/20
= 9.2
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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. given the directrix and the focus what is the vertex form of the equation of the parabola? the vertex form of the equation is .
The required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
What is a parabola?A plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line is called a parabola.
Given that, a parabola has the directrix x=6 and the focus (3,-5), we need to find the equation of the parabola,
The standard form of a left-right parabola is given as:
4p(x-h) = (y-k)²
Focus = (p+h, k)
Therefore,
h+p = 3....(i)
Directrix =
x = h-p
h-p = 6...(ii)
Solving the equations we get,
h = 9/2
p = -3/2
Substitute into the standard form:
4p(x-h) = (y-k)²
4(-3/2)(x-9/2) = (y+5)²
-6(x-9/2) = (y+5)²
\(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
Hence, the required equation of the parabola in the vertex form is \(x = - \frac{1}{6} (y+5)^2+\frac{9}{2}\)
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The question is incomplete so, i solved for the attached question
find the value of the constant c which makes fx|y (x, y) a valid conditional probability mass function.
c=1/2 which makes fx|y (x, y) a valid conditional probability mass function.
What is conditional probability?
The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier event by the increased likelihood of the later, or conditional, event.
Given that;
p(x) = \(c (\frac{2}{3} )^n\) where x = 1,2,3,........
for getting value of c we are using the expression :
\(\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1\)
\(c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1\)
Since we want p(x) to be a Probability Mass Function, your approach is correct, since for any such function
fX:A→[0,1],X:S→A⊆R, it is :
\(\sum _{x\in A} \ fX(x)=1\)
As long as you've correctly understood that condition, you can proceed with your specific exercise as follows:
\(\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1\)
⇔ \(c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1\)
⇔2c = 1
⇔c = 1/2
Hence c = 1/2 is the valid conditional probability mass function.
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