Answer:
4 1/2
Step-by-step explanation:
Explain how to get it
Answer:
50
Step-by-step explanation:
let <LPM be x
60+70+x=180 (sum of angle in triangle is 180)
x=50
<LPM=<KPN (being vertically opposite angle)
<KPN= 50
Answer:
Angle NPK° = 50°Step-by-step explanation:
in triangle MPL
60 + 70 +AngleMPL=180(Angle sum property)
Angle MPL = 180 -60-70 = 50°
Angle NPK = AngleMPL
Angle NPK = 50°
Witch is greater 76.201 or 76.187
Answer:
76.201 is greater than 76.187
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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A standard card deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled deck, without replacement. Complete parts a through c below. a. Determine whether the following statement is true or false. The probability of being dealt three black cards is one half times one half times one half equals one eighth . If true, explain why. If false, show how to get the correct probability.
Answer:
6 / 51
Step-by-step explanation:
It is false.
Reason:
The probability of picking a black card at first is:
26 / 52 = 1/2
There are now 25 black cards and 51 cards in total.
The probability of picking another black card, if there's no replacement is now:
25 / 51
Now, there are 24 black cards and 50 cards left in total.
The probability of picking a black card without replacement now becomes:
24 / 50 = 12 / 25
Hence, the probability of picking three black cards without replacement is:
1/2 * 25/51 * 12 / 25 = 300 / 2550
In simplest form, it is 6 / 51
2
Select the correct answer from each drop-down menu.
Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
Reset
The dilation of triangle ABC
Next
For the transformations of the triangle, we have that:
1. The translation of triangle ABC preserves side lengths and angles.
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,
1. The translation of triangle ABC preserves side lengths and angles.
For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:
2. The dilation of triangle ABC preserves angles but not side lengths.
Hence the correct options are, respectively, C and B.
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Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4
Answer:
y = 3x+3
Step-by-step explanation:
help with this please
Step-by-step explanation:
I cannot do this table nicely here, but it is totally simple : the first number in brackets is the input, the second number the corresponding output.
you can do this easily and faster than in here.
it is not a function, because e.g. the input values -2 and 4 have more than 1 output value assigned (in different offered pairs, sure, but the whole group of ordered pairs defines the relationship).
-2 has 6 and 8
4 has 6 and 15
to be a function, each input value can have only one associated output value.
what is −2(x+6)=4x
x=
Answer:
x=-2
Step-by-step explanation:
Distribute, add 12 to both side, then simplify
Answer: -2
Let's solve your equation step-by-step.
−2(x+6)=4x:
Step 1: Simplify both sides of the equation.
−2(x + 6) = 4x
(−2)(x) + (−2)(6) = 4x (Distribute)
−2x + (−12) = 4x
−2x − 12 = 4x
Step 2: Subtract 4x from both sides.
−2x − 12 − 4x = 4x − 4x
−6x − 12 = 0
Step 3: Add 12 to both sides.
−6x − 12 + 12 = 0 + 12
−6x = 12
Step 4: Divide both sides by -6.
−6x/−6 = 12/−6
x = −2
ABC and ADC are triangles. The area of triangle ADC is 52m^2
Given that,
ABC and ADC are triangles.
The area of ΔADC is 52 m².
Suppose , AD is the median.
According to figure,
We need to find the area of ΔABC
Using theorem of triangle
\(\bigtriangleup ADB +\bigtriangleup ADC=\bigtriangleup ABC\)
Here, Δ ADB = Δ ADC
So, \(2 \bigtriangleup ADC=\bigtriangleup ABC\)
Put the value of Δ ADC
\(\bigtriangleup ABC =2\times52\)
\(\bigtriangleup ABC = 104\ m^2\)
Hence, The area of ΔABC is 104 m².
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This is not a question. Next time, please add a question so that others might be able to help you with it
8th Grade
please answer, its due today and show the work please :)
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
Answer:
n = 19.6
Step-by-step explanation:
Given the expression;
1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)
Open the bracket
1.6 + 0.8n - 3.2 = 1.1n - 7.48
Collect the like terms
0.8n - 1.1n = -7.48 + 3.2 - 1.6
-0.3n = -5.88
n = -5.88/-0.3
n = 19.6
Hence the value of n is 19.6
Which function has a greater maximum?
�
(
�
)
=
−
2
(
�
+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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blake bike east at 5m/s. five seconds later he speeds up to 9 m/s.
what is his change in velocity? what is his acceleration?
Answer:
The answer is down below
Step-by-step explanation:
v-u=◇velocity
\( = 9 - 5\)
◇velocity =4ms‐¹
acceleration =◇velocity/time
\(a = \frac{4}{5} \)
\(a = 0.8m {s}^{ - 2} \)
Change in velocity:
\( \sf \:final \: velocity - initial \: velocity = change \: in \: velocity\)
\( \therefore \tt \delta \: v = 9 - 5 \\ \tt = 4m {s}^{ - 1} \)
To find acceleration:
\( \rm \: a = \frac{ \triangle \: v}{\triangle \: t} \)
\( \rm \: a = \frac{ 4}{5 - 0} = \frac{4}{5} = 0.8m {s}^{ - 1} \)
. i need this reallllllllllll badddddddddd
3/2b+5 < 17
Answer:
b < 8
Step-by-step explanation:
Given inequality:
\(\dfrac{3}{2}b+5 < 17\)
Subtract 5 from both sides:
\(\implies \dfrac{3}{2}b+5-5 < 17-5\)
\(\implies \dfrac{3}{2}b < 12\)
Multiply both sides by 2:
\(\implies 2 \cdot \dfrac{3}{2}b < 2 \cdot 12\)
\(\implies3b < 24\)
Divide both sides by 3:
\(\implies \dfrac{3b}{3} < \dfrac{24}{3}\)
\(\implies b < 8\)
Write the phrase "one more than the product of six and nine" as a mathematical expression.
Answer:
6.9+1
Step-by-step explanation:
hope it helps
\(\huge\mathfrak\blue{ ☃ }\)
Answer:
the product of six and nine is fifty five
A farmer earns $___ for each orange she sells. She had to pay $___ for fertilizer. Part A: Rewrite the description by filling in the blanks with values of your choice to show the amount of money the farmer could earn selling any number of oranges, n. Make sure the values you choose make sense for this situation. (6 points) Part B: Write an algebraic expression from your written description used in Part A. Let n stand for the number of oranges. (6 points)
What type of angles are <1 and <2 ?
I’m not sure if linear or complementary are the answer Bc Ik it’s not verticals
Answer:
it is linear pair
Step-by-step explanation:
it is not complementary because it doesn't add up to a sum of 90°. it is not vertical angles because that would mean they have the same degree. it's linear because they add up to 180°.
The Blakely family has driven 50 miles of a 200-mile trip. Their car travels 30 miles per gallon of gas. How many gallons of gasoline, g, will the car use on the remainder of the trip?
2 and one-half gallons
gallons
gallons
8 and one-third gallons
Answer:
5 gallon
Step-by-step explanation:
cuz yes
g Suppose that a large mixing tank initially holds 500 gallons of water in which 50 pounds of salt have been dissolved. Another brine solution is pumped into the tank at a rate of 3 gal/min, and when the solution is well stirred, it is then pumped out at a slower rate of 2 gal/min. If the concentration of the solution entering is 2 lb/gal, determine a differential equation (in lb/min) for the amount of salt A(t) (in lb) in the tank at time t > 0. (Use A for A(t).)
Answer:
the required differential equation is dA/dt - \(\frac{2A}{t+500}\) = 6
A(0) = 50lb
Step-by-step explanation:
Given the data in the question;
A(t) is the mass of the salt in in the tank at time t
the new volume of the solution in the tank increases by one gallon each minute
so
dA/dt = ( Rate in) - ( Rate out)
dA/dt = ( 3 gal/min × 2 lb/gal ) - ( 2 gal/min × \(\frac{A}{t+500}\) lb/gal )
dA/dt = 6 - \(\frac{2A}{t+500}\)
dA/dt - \(\frac{2A}{t+500}\) = 6
A(0) = 50lb
Therefore, the required differential equation is dA/dt - \(\frac{2A}{t+500}\) = 6
A(0) = 50lb
3! factorial what does it mean
Answer:
3×2×1
Step-by-step explanation:
that is the answer
Answer:
see explanation
Step-by-step explanation:
The definition of factorial ! is
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1 , then
3! = 3 × 2 × 1
= 6
Please helppppp
Which equation generates this table of values?
can someone help me with my work so i can pass
The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.
Here, we have,
we know that,
The sum of the angles in a triangle add to 180
x+2x+6x = 180
Combine like terms
9x= 180
Divide by 9
9x/9 = 180/9
x = 20.
Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.
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complete question:
The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.
Which equation matches the function described in the table?
Answer:
y = 4x - 1
Step-by-step explanation:
Equation y = 4x - 1 matches the function described in the table.
A recipe requires for ⅜ cups of sugar for each cup of flour used. If a baker uses 6 cups of flour, what is the total amount of sugar that will be needed? Show your work. (4.NE.4),
Answer:
3 cuuuuuuuuuuuuuupsssssss offfccccdd saaaaaaaallllytttt
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
Evaluate
Algebraic
Expressions
A large waffle cone costs $2.06 dollars more than a
sugar cone. The sugar cone is 1.56.
What is the cost of the waffle cone?
Answer:
The waffle cone is $3.62.
First, say what your variables are.
w = large waffle cone
s = sugar cone
Next, create two equations given the data in the word problem.
\(2.06 + s = w\)
\(s = 1.56\)
Because you have what the sugar cone is valued at, replace the s in the first equation with 1.56 and solve.
\(2.06 + (1.56) = w\)
\(w = 3.62\)
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Write an expression that is the product of two factors and is equivalent to - 4x – 20.
Answer:
4(−x−5)
Step-by-step explanation:
−4x−20
Factor out 4.
4(−x−5)
An experiment observes an integer uniformly chosen from {1.2, 3.4.5, 6, 7, 8, 9, 10, 11.12}
Which of the following pairs of events are independent of each other?
a. A= {1, 2, 3};B= {1, 2, 3, 4, 5, 6}
b. A = {1, 2, 3}; B = {3, 9, 12}.
c. A = {2, 4, 6, 8}:B- {8, 10, 12}
d. A = {1, 2, 3, 4, 5, 6}; B = {7, 8, 9, 10, 11, 12}
e. A = {2.4, 6, 8, 10}; B = {1, 3, 5, 7, 9.11}
Answer:
Options D & E are independent
Step-by-step explanation:
For any of the options to be independent, they have to be mutually exclusive i.e A ∩ B = 0
A) A ∩ B = {1, 2, 3}. They are not mutually exclusive and so they are not independent.
B) A ∩ B = {3}. They are not mutually exclusive and so they are not independent.
C) A ∩ B = {8}. They are not mutually exclusive and so they are not independent.
D) A ∩ B = 0. They are mutually exclusive and thus they are independent.
E) A ∩ B = 0. They are mutually exclusive and thus they are independent.
Carlos purchase 3 pounds of potatoes,2 pounds of banana & five pounds of apple,he handed the clerk $12.43 how many pounds total does his idea weight
Answer:
I don't know "how many pounds total does his idea weights" but the stuff he purchased weights 10 pounds.