Answers
This points to the fact that the smaller triangle is half of the larger triangle in terms of side lengths
MN = 14 which means LK is twice as long, so LK = 2*MN = 2*14 = 28
In summary,
LK = 28
Related Questions
Is the system of equations is consistent, consistent and coincident, or inconsistent?
y=−3x+12y=−6x+2
Answers
The system of equations given is y=-3x+12 and y=-6x+2. Comparing their slopes and y-intercepts, the slopes are different and the y-intercepts are different too. Hence, the system is consistent.
Explanation:The system of equations given is y=-3x+12 and y=-6x+2. To determine whether these equations are inconsistent, consistent, or consistently coincident, we must compare their slopes and y-intercepts. If the slopes are the same (-3 and -6 are not similar) and the y-intercepts are different (12 and 2 are not equal), then the system is inconsistent. If the slopes and the y-intercepts are identical, then the system is consistent and coincident. Otherwise, if the slopes are different, which is the case in this scenario, the system is consistent.
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Phil gets a commission of 25% on all sales. He sold $1500.00 worth of goods. What was the amount of his paycheck?
Answers
1500 x 0.25 = 375.00
Hope this is what you were looking for
375.00
Good luck on your quiz
how to factor polynomial
u^2+uv+v^2
Answers
however, if you perhaps mistyped and meant u² + 2uv + v², you would be able to factor it into (u + v)(u + v).
List the fractors of 35 is this number prime or composite
Answers
Answer: Composite
Step-by-step explanation: To see if 35 is a prime number or a composite number, let's first start by finding the factors of 35.
To find the factors of 35, begin by dividing 35 by 1 which gives us 35. This means that 1 and 35 are factors.
Next, since 35 is not divisible by 2, 3, or 4, we divided 35 by 5 which gives us 7. This means that 5 and 7 are factors.
Next, since 35 is not divisible by 6, we divide 35 by 7 which gives us 5. Notice that 7 and 5 are repeat factors and once we hit repeat factors, this means that all other factors we try will repeat.
Therefore, the factors of 35 are 1, 5, 7, and 35.
Since 35 has more than two factors, it's called a composite number.
Which of the following measurements is the most accurate for a pellet with a mass of 3.25 grams?
a.
3 grams
b.
3.20 grams
c.
3.27 grams
d.
3.50 gram
Answers
it s near 3.25
answer is c
Answer:
the nearest value of the mass is 3.27 grams
it s near 3.25
answer is c
20,000 is what percent of 80,000
Answers
A flock of Canadian geese migrated 1623 miles in 28 days. What was the average rate at which these geese traveled in miles per day?
Answers
1623/28=57.964
An apartment requires an initial deposit of $500 + $400 per month for rent.
Let C be the total cost of
the apartment.
Which shows the equation for the total cost for x number of months?
Answers
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + y j + 7 k S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 6
Answers
To find the flux of the vector field F across the boundary of the described cylindrical region, the surface integral must be computed with outward normals, parameterizing each surface portion, setting appropriate bounds, and summing all contributions.
Explanation:The student has asked to evaluate the surface integral (flux) of the vector field F(x, y, z) = x i + y j + 7 k across the boundary of a cylindrical region defined by x2 + z2 = 1 and the planes y = 0 and x + y = 6. To solve this problem, we first define a consistent outward orientation for the surface normals.
It is important to carefully determine the components of the vector field that contribute to the flux through the various portions of the boundary surface - the curved cylindrical surface, the bottom plane at y = 0, and the slanted plane at x + y = 6.
We compute the surface integral by parameterizing each portion of the surface, setting up and evaluating the integrals for each, and summing these contributions.
This involves finding the antiderivatives with respect to both dimensions defining the surface area, considering the appropriate bounds derived from the region described.
To evaluate the surface integral of the given vector field F across the oriented surface S, parameterize the surface S as a combination of two surfaces and evaluate the surface integral of F · dS for each surface separately. Then, calculate the total flux of F across the surface S.
Explanation:To evaluate the surface integral of the given vector field F across the oriented surface S, we need to find the flux of F across S. The vector field F is given as F(x, y, z) = x i + y j + 7 k. The surface S is the boundary of the region enclosed by the cylinder x^2 + z^2 = 1 and the planes y = 0 and x + y = 6.
To evaluate the surface integral, we can use the formula Φ = ∫∫ F · dS, where F is the vector field, dS is the area element, and the integral is taken over the surface S. In this case, the surface S is the boundary of the region enclosed by the cylinder and the planes. We can parameterize the surface S and then use the formula to evaluate the integral.
By parameterizing the surface S as a combination of two surfaces, we can evaluate the surface integral of F · dS for each surface separately. The total flux of F across the surface S is the sum of the fluxes across the two surfaces. Using the formula and the parameterization, we can calculate the flux of F across the surface S.
The complete question is:content loaded
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i + y j + 7 k S is the boundary of the region enclosed by the cylinder x2 + z2 = 1 and the planes y = 0 and x + y = 6 is:
Which of the following best represents the average speed of a fast runner?
10 meters per second
10 miles per minute
10 centimeters per hour
10 kilometers per second
Answers
Here's why:
10 miles per minute is 600mph
10 centimeters per hour is
0.000062mph
10 kilometers per hour is 22369mph
Answer:
D
Step-by-step explanation:
kilo is faster than meters
start at 5 1/2 add 1 1/5
Answers
6 7/10
six girls and four boys have entered the science fair. first, second, and third place awards are to be given out. what is the probability that exactly one girl and two boys will recite awards? express your answer as a percent
Answers
The probability that exactly one girl and two boys will receive awards is 75%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that there are:-
6 girls
4 boys
Probability of 1 girl being chosen: 1/6
Probability of 1 boy being chosen: 1/4
Probability of another boy being chosen: 1/3
1/6 = 0.17 x 100% = 17%
1/4 = 0.25 x 100% = 25%
1/3 = 0.33 x 100% = 33%
17% + 25% + 33% = 75%
Therefore the probability that exactly one girl and two boys will receive awards is 75%.
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A survey was given and here are the results "Number responding less than 1 week"
Gender - X N
Males - 71 411
Females - 64 253
a) Construct a 95% confidence interval for the difference in the proportions of males and females at this university. Who would respond less than one week?
b) does there appear to be evidence of a difference in the proportions of men and women at this university who would respond less than 1 week. Provide statistical justification
Answers
p1 = 64/253 = 0.2530
(p1 - p2) = 0.2530 - 0.1727 = 0.0803
SE = sqrt{[p1(1 - p1)/n1] + [p2(1 - p2)/n2]} = sqrt{[0.2530(1 - 0.2530)/253] + [0.1727(1 - 0.1727)/411]} = sqrt(0.000747 + 0.0003476) = sqrt(0.001095) = 0.0331
Therefore, 95% confidence interval for the difference in the proportions of males and females at this university who would respond less than one week = (p1 - p2) + or - 1.96(SE) = 0.0803 + or - 1.96(0.0331) = 0.0803 - 0.0648 to 0.0803 + 0.0648 = 0.0155 to 0.1451
b.) Yes.
How do you find the perimeter and area?
Answers
Area - depends on geometric shape, a lot of formulas. All about multiplication.
Please I really don't get this. Can someone please help me?
There are ten shirts in your closet, four blue, three green, and three red. You randomly select a different shirt each day. You wear a blue shirt Monday, Tuesday, and Wednesday.
Answers
Answer:
It's a probability problem to find the odds of picking a green or red shirt out of the 10 shirts on Thursday, Friday and Saturday since you have randomly already know you have picked a blue shirt on the other days. Probability = Number favorable outcomes / total number of outcomes
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Step-by-step explanation:
Translate this sentence into an equation.
The product of Raj's score and
6
is
66
.
Use the variable
r
to represent Raj's score.
Answers
product of Raj's score and 6: r x 6
is 66: =66
r x 6 = 66
Final answer:
The sentence 'The product of Raj's score and 6 is 66' translates to the equation 6 × r = 66. By dividing both sides by 6, we find that Raj's score r = 11.
Explanation:
To translate the sentence into an equation, we need to understand the mathematical operation described by the word 'product'.
The product refers to the result of multiplying two numbers.
In this sentence, the product of Raj's score, which we will represent with the variable r, and 6 is given to be 66.
Therefore, the equation representing this relationship is:
6 × r = 66
To solve for Raj's score, you would divide both sides of the equation by 6, which gives you:
r = 66 / 6
Therefore, Raj's score, r, is 11.
given ab/bc = fe/ed find ac
Answers
Then you cancel out a on the left side of the equation by multiplying both sides by 1/a which then gives you c = f/ad.
Hope this helps!
Your $1000 investment in an energy stock doubles. Your $1000 investment in a tech stock drops in half. What was the total return on the two investments?
Answers
Answer: 0.25 or 25%
Explanation:
1) The first stock will double its value ⇒ new value = $1,000 × 2 = $2000
2) The second stock wil dropt to half ⇒ new value = $ 1,000 / 2 = $500
3) Total value of the investments after the change of the values: $2,500 + $ 500 = $ 2,500.
4) Return on investment = benefit / investment
5) benefit = new value - investment = $2,500 - $2000 = $ 500
6) Return on investment = $500 / $2,000 = 0.25
Which you can also represent in percent form: 0.25 = 25%.
A(n) _____ is a segment that is formed by the intersection of two faces
Answers
Answer:
The answer is Edge. A segment that is formed by the intersection of two faces is called an EDGE.
Step-by-step explanation:
A segment that is formed by the intersection of two faces is called an EDGE.
An edge is defined as a type of line segment, that joins two vertices in a polygon, polyhedron etc. In a polytope, an edge is a line segment between faces.
Translate the following statement into an inequality: Five less than a number is at least nine.
Answers
The given statement translates to the inequality x - 5 ≥ 9.
To do this, we first need to interpret ‘a number’ as a variable, which we can call x. ‘Five less than a number’ means we subtract five from our variable, expressed as x - 5. ‘At least nine’ indicates that the value should be greater than or equal to nine, which in inequality form is ( ≥ 9 ). Therefore, the complete inequality that represents the given statement is x - 5 ≥ 9.
You invested $2,300 in a stock. Your account now has a value of $2,643. Your percentage gain on the investment (rounded to the nearest percent) was:
a)0%
b)5%
c)10%
d)15%
Answers
Answer:
15%
Step-by-step explanation:
An interior angle of a regular polygon has a measure of 120°. What type of polygon is it? decagon hexagon quadrilateral octagon
Answers
The answer is Hexagon
The correct answer is B. Hexagon
Explanation:
In geometry, a polygon refers to a figure with three or more sides and therefore at least three angles, this includes triangles, pentagons, octagons, etc. Additionally, polygons can include irregular or regular sides and angles.
In the case of hexagons, if a hexagon is regular, this includes six sides of the same length and six angles with the same measure. Moreover, each of the angles is120° considering the total of internal angles in a hexagon is always 720° and therefore 720° divided into six equal angles is equal to 120°.
Therefore, if an interior angle of a regular polygon (figure with equal sides and angles) has a measure of 120° the polygon is a hexagon because the only polygon that can have multiple sides and angles each with 120° and form a regular polygon is the hexagon.
For what values of a and b is the following function is continuous at every x:
-7 x ≤ -3
f(X) = ax-b -3< x < 1
3 x ≥ 1
Find the values is a and b ix f(x) continuous at every x?
Answers
-1 x<=-1
ax-b -1<x<1
2 x>=1
The solution is as follows:
f(x) = {-1, x ≤ -1
...... { ax - b, -1 < x < 1
...... { 2, x ≥ 1
Then we must have:
lim(x-->-1) -1 = lim(x-->-1) ax - b
==> -1 = -a - b
==> a + b = 1
And we must have:
lim(x-->1) ax - b = lim(x-->1) 2
==> a - b = 2
So we need to solve the system of equations given by:
a + b = 1
a - b = 2
After doing so, you should get that:
a = 3/2
b = -1/2
By studying the solution above, you now have the ability to answer the problem on your own!
By solving a system of equations, we will see that the function is continuous for all values of x if:
a = 2.5b = -0.5.How to make the piecewise-function continuous for every x?Here we have the piecewise function:
f(x) = -7 if x ≤ -3
f(x) = a*x- b if -3 < x < 1
f(x) = 3 if 1 ≤ x
The piecewise function will be continuous only if the values at the limits where we have jumps (at x = -3 and x = 1) are the same in both pieces of the function.
This means that we must have:
f(-3) = -7 = a*(-3) - b
f(1) = 3 = a*1 - b
Then we have a system of equations:
-7 = -3a - b
3 = a - b
To solve this, first, we isolate one of the variables in one of the equations, I will isolate b in the second one to get:
b = a - 3
Now we can replace that in the other equation to get:
-7 = -3a - (a - 3)
Now we can solve this for a.
-7 = -4a + 3
-7 -3 = -4a
-10/-4 = a = 2.5
Then the value of a must be 2.5, to get the value of b we use:
b = a - 3 = 2.5 - 3 = -0.5
So the solution is a = 2.5, b = -0.5.
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5.7n + 4.1 = 2.96
What is n Im thinking -32
Answers
5.7n = -1.14
n= -1.14/5.7
n = -0.2
Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
H(m ) = 2 + 12m
H(m ) = 10 + 3m
Answers
Second one has initial height of 10 cm and grows 3cm per month which can be written as 3m + 10
Now we just have to find those expressions in offered equations to find answer.
We can see that system of equations is:
H(m) = 12 + 2m
H(m) = 10 + 3m
or third pair.
Due to a leak, the amount of water in a pool is decreasing by 5858 gal every hour.
What is the total change in the number of gallons of water in the pool after 3434 h?
Enter your answer in the box as a simplified fraction.
Answers
Given the the amount of water in a pool is decreasing 5/8 gallon every hour.
And what would be the change in the number of gallons after 3/4 hour. So what we are going to do is just to multiply 5/8 by 3/4. And the result would be 15/32. The total change in the number of gallons of water in the pool after 3/4 hour would be 15/32 gallons.
In the situation, simple interest is calculated yearly. how much interest was earned? drag and drop the answer into the box. principal: $12,000; time: 3 years; interest rate: 15%; interest: ?
Answers
The amount of interest earned is $5,400
From the question,
We are to calculate the simple interest earned
Interest can be calculated by using the simple interest formula
I = PRT
Where I is the interest
P is the principal
R is the rate
T is the time
From the question
P = $12,000
R = 15%
T = 3 years
∴ Interest,
I = $12000 × 15% × 3
I = $12000 × 0.15 × 3
∴ I = $5400
Hence, the amount of interest earned is $5,400
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Nam has a beginning balance of $815 in her checking account. She writes a check for $210 and has a debit transaction of $525. What is her new balance?
$125
$80
$1550
$120
Answers
Answer:the answer is ($80)
Step-by-step explanation:i took the test on k12 online school
plz give me bianleast it helps oh lot thank you
What are all the factor pairs for 30?
Answers
the number 5 number 3 and 2
Initially, Heather has $125 in her savings account. At the end of each week, she deposits $25 into her account.
What is a explicit rule for amount of money Heather has after n weeks?