The proportion to calculate triangle side LM in the given triangle is 3/2
How to calculate the side LMThe side LM is calculated using the idea of similar triangle, in this case the triangles are equal in proportion to each other
To find the proportion we take the ratio of the sides this is done as follows
LM / HJ = MN / JK = LN / HK
substituting the values
MN / JK = 9 / 6 = 3 / 2
the proportion is = 3/2
to find LM
4.5 * 3/2
= 6.75 cm
Using proportion of 3/2 the length of side LM is solved to be 6.75 cm
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Find the sum of 24/5 + 13/9
Subtract the fractions = product of fractions
The value of fractions after subtraction is,
⇒ - (y² - 10y - 12) / (y - 4) × 1 / (y + 2)
What is mean by Fraction?A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
We have to given that;
⇒ y/ (y + 2) is subtracted from 6 / (y - 4).
Now, We can subtract as;
⇒ 6 / (y - 4) - y / (y + 2)
⇒ 6 (y + 2) - y (y - 4) / (y - 4) (y + 2)
⇒ (6y + 12 - y² + 4y) / (y - 4) (y + 2)
⇒ (- y² + 10y + 12) / (y - 4) (y + 2)
⇒ - (y² - 10y - 12) / (y - 4) (y + 2)
⇒ - (y² - 10y - 12) / (y - 4) (y + 2)
⇒ - (y² - 10y - 12) / (y - 4) × 1 / (y + 2)
Thus, The value of fractions after subtraction is,
⇒ - (y² - 10y - 12) / (y - 4) × 1 / (y + 2)
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Imetre of cloth cost $260. Susan bought 2.75 m of the cloth. She paid the cashier $1,000. How much change did she get?
Answer:
$285
Step-by-step explanation:
I multiplied 2.75 by $260 and got $715. Then I did $1,000 minus $715 which equals $285.
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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-10 x 4 =
-21 x 5=
-20 x 9=
-199 x 1=
Answer:
•SEE ABOVE ATTACHMENT•HOPE IT HELPS!
MARK AS BRAINLIAST.
Answer:
-10 x 4 = -40
-21 x 5 = -105
-20 x 9 = -180
-199 X 1 = -199
2. If you drank two 12-ounce cans of soda each day for a year, how much money would you have spent?
Answer:
803 SORRY FOR ALL THE WRONG ANSWERS LOL
Step-by-step explanation:
you multiply the cents and the money by 2 then multiply it by 365
Find the slope of the line passing through the points (5,6) and (5,-4).
Answer:
subtract -4-6/5-5
Step-by-step explanation:
Answer is no solution
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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4. Use the graph for the following:
Please answer
Picture is included
Answer:
(a) 9
(b) -2
Step-by-step explanation:
it is very important to start by finding the equation of the line then substitute in some values.
The width of a woman's shoulders is proportional to her height. How many inches should shoulder width be for a 5’9 woman
The width of the woman's shoulder given a height of 69 inches would be 17.5 inches.
Given the parameters :
For, Height = 64 inches ; Shoulder width = 16.2 inchesRecall ; 1 feet = 12 inches :
For height = 5'9'' = (12 × 5) + 9 = 69 inches ; shoulder width will be sSetting up a proportional relationship :
\( \frac{64}{16.2} = \frac{69}{s} \)
Cross multiply :
\(64s \: = 69 \times 16.2\)
\(64s \: = 1117.8\)
\(s \: = \frac{1117.8}{64} = 17.465 \: inches \)
Therefore, the width of the woman's shoulder should be 17.5 inches.
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Given the following dataset, determine the mode 6056605570546055
Answer:
5
Step-by-step explanation:
put it in order
6056605570546055
and the one that appears the most is the mode
you are building a raft out of two by fours. How many two by fours do you need in your raft in order for you to float
Answer: 10 pieces of two by four woods.
Step-by-step explanation:
The number of woods that would be needed depends on the type of design chosen. A more complex design would require more wood to achieve it so it can satisfy the law of buoyancy and float on the water.
10 pieces of two by four would would be enough to build a raft that would float on water.
There is a mound of g pounds of gravel in a quarry. Throughout the day, 200 pounds of gravel is added to the mound. Two orders of 500 pounds are sold and the gravel is removed from the mound. At the end of the day, the mound has 1,200 pounds of gravel.
Answer:
What is the question?
Step-by-step explanation:
g + 200 - (2 * 500) = 1200
g + 200 - 1000 = 1200
g = 1200 + 1000 - 200
g = 2200 - 200
g = 2000
Can someone help me find the value of n? For this problem
Answer:
n = 129
Step-by-step explanation:
Reference angle = 60°
Hypotenuse = n
Adjacent side = 64.5
Apply CAH, which is:
Cos 60 = adj/hyp
Cos 60 = 64.5/n
Multiply both sides by n
n×Cos 60 = 64.5
Divide both sides by cos 60
n = 64.5/Cos 60
n = 64.5/0.5
n = 129
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(x)).
Answer:
f(g(x)) = 2x + 1
Step-by-step explanation:
f(g(x))
f(x - 3)
2(x - 3) + 7
2x - 6 + 7
2x + 1
please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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What are the solutions of this quadratic equation?
4x2 + 3 = 4x + 2
Answer:
A. x = 1/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Terms/CoefficientsFactoringStandard Form: ax² + bx + c = 0Solving quadraticsStep-by-step explanation:
Step 1: Define
Identify
4x² + 3 = 4x + 2
Step 2: Solve for x
[Equality Property] Rewrite in standard form: 4x² - 4x + 1 = 0Factor: (2x - 1)² = 0Solve: x = 1/2The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are:
Answer:
The homoskedasticity-only F-statistic and the heteroskedasticity-robust F-statistic typically are different.
Step-by-step explanation:
An F statistic is a value derived by running an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.
The homoskedasticity-only” F-statistic is derived by running two regressions, one under the null hypothesis and one under the alternative hypothesis. If the “unrestricted” model fits sufficiently better, reject the null.
In the first regression, the restricted regression (the null hypothesis) is forced to be true. This is the regression in which all the coefficients are set to zero; the relevant regressors are excluded from the regression. In the second regression, the unrestricted regression, the alternative hypothesis is allowed to be true. If the sum of squared residuals is sufficiently smaller in the unrestricted than the restricted regression, then the test rejects the null hypothesis
The heteroskedasticity-robust F-statistic is built in to STATA (“test” command); this tests all q restrictions at once.
The homoskedasticity-only F-statistic is important historically (and also in practice), and can help intuition, but isn’t valid when there is heteroskedasticity
−1+log 6 (2x+3)−log 6 (2x)=0
Answer:
Step-by-step explanation:
Let us solve the equation for X-
-1+log 6 (2x+3)-log 6 (2x)=0
adding +1 to both sides-
-1+1+log 6(2x+3)-log 6 (2x)=0+1
log 6(2x+3)-log 6 (2x)=1 . . . (1)
using logarithmic rule,
log a - log b= log(a/b)
equation (1) becomes,
log [6(2x+3)/6(2x)]=1 . . .(2)
equation (2) becomes,
log[(2x+3)/2x]=1....(3)
Again using the logarithmic rule,
log a = b
is equivalent to 10∧b = a
hence equation 3 becomes,
10∧1= (2x+3)/2x
i.e. 10 = (2x+3)/2x. . .(4)
multiplying both sides by 2x, considering x is not 0.
equation( 4) becomes
20x = 2x+3. . .(5)
subtracting 2x from both sides
equation (5) becomes,
18x=3
dividing both sides by 3,
we get,
x=6
Hence value of x is 6.
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Whoever answers this for me gets brainliest!! I need answers ASAP
Answer: 60
Step-by-step explanation:
Use proportions
Answer:
C.) 60
Step-by-step explanation:
435/12 = 60
12 x 5 = 60
Evaluate:
10
Σ¹04(-2)n-¹ = [? ]
please I need help :(
Answer: -1364
Step-by-step explanation:
This is a geometric series with first term 4 and a common ratio of -2.
Using the sum of a geometric series formula, we get this sum to be equal to:
\(\frac{4(1-(-2)^{10}}{1-(-2)}=\boxed{-1364}\)
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
Yes
Step-by-step explanation:
(-2)^2 is the same as (-2)(-2)
-2^2 is the same as -2*-2
both (-2)^2 and -2^2 = 4
if one cup fills the jug to the second interval, how many cups do you need to fill the jug to 4?
2 cups you need to fill the jug to 4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
It depends on the size and markings of the jug.
If we assume that the jug is divided into equal intervals and each interval represents an equal volume,
then we can say that filling the jug to the second interval means that the jug is 1/2 full.
To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.
So, the answer is 2 cups.
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7 x 7 87 x 9 999 x 866 what is my out come
Answer:
47703169206
Step-by-step explanation:
7 x 787 x 9999 x 866 = 47703169206 via the process of multiplication
Answer:
8,9740 that is your answer and then I hope you have a good day and hope this helps
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.
Answer:
Therefore, the angle ∠CDA is 58°.
Step-by-step explanation:
∠CDA = 58°
In the given figure, let's consider the angle ∠CDA as x.
Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.
In triangle CAD, the sum of angles is 180°. So, we have:
∠CAD + ∠CDA + ∠CAB = 180°
Substituting the known values:
32° + x + 90° = 180°
Combining like terms:
x + 122° = 180°
Subtracting 122° from both sides:
x = 180° - 122°
x = 58°
At chengs bike rentals, it cost $42 to rent a bike for 9 hours. How many dollars does it cost per hour of bike use? (Round to nearest hundredth.)
Your cell phone plan costs 55 dollars a month, plus 35 cents per minute. Write an equation to represent the monthly bill of the cell phone plan.
Answer: Umm lemme try this
Step-by-step explanation:
55+35=x