Answer:
10
Step-by-step explanation:
I do not know how to make a possibility tree, but I can explain it in words. the possibilities could be at lost, 10
3(y+8)=2y-6 what is y=
Answer:
y = -30
Step-by-step explanation:
3 (y + 8) = 2y - 6
3y + 24 = 2y -6 Distribute the 3
y + 24 = -6 Subtract 2y on both sides
y = -30 Subtract 24 on both sides
Every week, Darlene spends & 47.89 on gas. How much would she spends on gas over a 5-week period?
Answer: 239.45
Step-by-step explanation:
47.89x5=239.45
Identify the nonlinear equation.
Responses
A y = 3x - 7y = 3 x - 7
B y = xy = x
C y = 3y = 3
D y = x2
PLS HELP
Answer:y=0.5
Step-by-step explanation:Comme tu peux le voir, y est égal à au tiers de 3, se qui équivaut à 1. Si 2x=y, cela signifie que x=y/2, soit 0,5
Helen's Caffee has regular coffee and decaffeinated coffee. This morning, the caffee served 45 coffees in all, 60% of which were regular. How many regular coffees did the cafe serve?
PLEASE HELP ILL GIVE FIVE STARS AND MARK BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old was Ray 3 years ago?
Ray is \(x\) years old.
Ron is \(y\) years old.
In 2 years, Ron will be two years older than now, so \(x+y+2\) years old.
• What can you say about the number 180, given its prime factorisation?
.
evaluate 16^-3/4
Evaluation of the exponents
Answer:
I think it is -12
Multiply -0.75 (3 quarters) by 16.
The negative cancels out the positive number.
Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.
Normally, this ↑ is not the case, but here, I could make an exception.
I hope this helps you, let me know if you need something else.
1/3 x 3/5 help me- like I can’t
Answer:
0.2
or
2/10
Step-by-step explanation:
In this triangle, the product of sin B and tan C is
90°
and the product of sin C and tan B is
In this triangle, the product of sin B and tan C is\(b^2/(ac)\) , and the product of sin C and tan B is \(c^2/(ab)\).
In a right-angled triangle ABC, where angle A is 90 degrees, we have the following side lengths:
AB = c (base)
BC = a (hypotenuse)
AC = b (perpendicular)
We need to calculate the products of sin B and tan C, and sin C and tan B.
First, let's calculate sin B and tan C:
sin(B) = opposite/hypotenuse = AC/BC = b/a
tan(C) = opposite/adjacent = AC/AB = b/c
The product of sin B and tan C is sin(B) * tan(C) = (b/a) * (b/c) = \(b^2\)/(ac).
Next, let's calculate sin C and tan B:
sin(C) = opposite/hypotenuse = AB/BC = c/a
tan(B) = opposite/adjacent = AB/AC = c/b
The product of sin C and tan B is sin(C) * tan(B) = (c/a) * (c/b) = \(c^2\)/(ab).
Therefore, in the given right-angled triangle ABC, the product of sin B and tan C is\(b^2\)/(ac), and the product of sin C and tan B is \(c^2\)/(ab).
These formulas hold true for any right-angled triangle, where the base is AB, the hypotenuse is BC, and the perpendicular is AC.
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The question probable may be:
In this triangle, the product of sin B and tan C is _____ , and the product of sin C and tan B is _______.
If the standard deviation of returns on the market is 20 percent, and the beta of a well-diversified portfolio is 1.5. Calculate the standard deviation of this portfolio.
a. 30 percent.
b. 20 percent.
c. 15 percent.
d. 10 percent.
Answer:
a. 30 percent.
Step-by-step explanation:
Given that:
The standard deviation of returns = 20 percent
Beta = 1.5
Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation
Since Correlation with the market will be +1;
Then;
The Standard deviation of portfolio = 1.5 × 20%
The Standard deviation of portfolio = 30.00%
Find each missing measure.
Answer:
∠x = 32°
∠y = 58°
∠z = 32°
Step-by-step explanation:
∠x = 180° - 148° = 32°
∠z = 32° because it is vertical to ∠X (32°)
∠y = 90° - 32° = 58°
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
is 2012 a term of arithmetic sequence of 5,13,18
for the given A.P
5,9,13,...
First term (a)=5
common difference (d) = 9-5=4
Let Tn=2012
a +(n-1) d=2012
5 +(n-1) 4=2012
(n-1) 4=2012-5
(n-1)4=2007
n-1=501.75
n=1+501.75
n=502.75 -- - - - - -> which is not possible.
No.of terms can never in fraction.
Hence, 2012 is not a term of given A.P
A polygon is shown:
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)
Answer:
10 square units
Step-by-step explanation:
Five more than a number p is less than 17.
Answer:
2x-15
Step-by-step explanation:
Found it on a Phrase translator to equations.
Julia can swim 8 km/hr in still water. She attempts to head straight east across a river flowing south at 3 km/hr. What is the magnitude and direction of Julia's velocity.
To solve this problem, we need to use vector addition to find the resultant velocity of Julia.
Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.
The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.
The velocity of the river is 3 km/hr in the negative y-axis direction.
To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.
Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:
|V| = √(Vx² + Vy²)
where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.
Vx = 8 km/hr
Vy = -3 km/hr
|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr
The direction of the resultant velocity can be calculated as:
θ = tan⁻¹(Vy / Vx)
θ = tan⁻¹(-3 / 8) = -20.56°
The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).
Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).
The following steps show how the right side of
1 + sin(2x) = (sin(x) + cos(x)]? can be rewritten to show it
is an identity.
What are the correct justifications, listed in proper
order?
[sin(x) + cos(x)]
= sin?(x) + 2 sin(x)cos(x) + cos²x)
= 1 + 2 sin(x)cos(x)
= 1 + sin(2x)
O Distributive Property, Pythagorean Identity, Double
Angle Identity
O Pythagorean Identity, Distributive Property, Double
Angle Identity
O Distributive Property, Double Angle Identity,
Pythagorean Identity
O Double Angle Identity, Distributive Property,
Pythagorean Identity
Answer:
A. Distributive Property, Pythagorean Identity, Double Angle Identity
Step-by-step explanation:
The correct order of justifications is:
Distributive Property, Pythagorean Identity, Double Angle Identity.
The correct justifications, listed in proper order, for the steps to rewrite the right side of 1 + sin(2x) = (sin(x) + cos(x)] as an identity are as follows:
Distributive Property: [sin(x) + cos(x)]This step distributes the terms inside the brackets.
Pythagorean Identity: sin²(x) + cos²(x) = 1This step uses the Pythagorean Identity, which states that the square of the sine of an angle plus the square of the cosine of the same angle is equal to 1.
Double Angle Identity: sin(2x) = 2sin(x)cos(x)This step applies the double angle identity for sine, which expresses sin(2x) in terms of sin(x) and cos(x).
Double Angle Identity: 1 + sin(2x)This step simplifies the expression on the right side of the equation using the previously established double angle identity.
Therefore, the correct order of justifications is:
Distributive Property, Pythagorean Identity, Double Angle Identity.
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The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the TOTAL number of students in Ms. Cunningham’s class?
Responses
The total number of students(boys and girls) in Ms. Cunningham’s class are 30.
Number of girls in the class =18
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3
i.e. Ratio of boys and girls =2:3
Boys : Girls = 2 : 3
B/G = 2/3 -------1.
B/18 = 2/3
B = (18 x 2)/3
Boys = 12
Number of boys in the class = 12
Boy = 2x
12 = 2x
x = 12/2 = 6
number of girls in the class is 3x
3 x 6 = 18
Therefore, total number of students =12+18=30
The total number of students(boys and girls) in Ms. Cunningham’s class are 30.
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Make a rap about why a parallelogram is the best shape. Must be appropriate and at least a minute long. Giving brainless to whoever answers!!!
Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:
Yo, listen up, the parallelogram is where it's at,
A shape so brilliant, the angles are sat.
Parallel sides that never converge,
Internal angles that never diverge.
Each side an equal length,
A geometry prodigy's dream length.
The diagonals intersect, another line through the middle they meet,
Creating symmetry so neat.
A rectangle it could be,
But it's oblong, not square, can't you see?
With depth and width in perfect balance we see,
A two-dimensional form of complexity.
While the square is simple, the parallelogram is hip,
A mathematical masterpiece, skip, skip, skip!
four right angles keep the shape so tight,
Parallel lines dominate left and right.
Rotated or reflected without a care,
Its structural integrity beyond compare.
triangles form at each corner you'll note,
Acute or obtuse, depends on the protractor's groove.
A versatile shape with reason and purpose galore,
The parallelogram, simply, carries the floor.
From geometry to art, its angles they intrigue,
As a basis for patterns, its potential we can truly plug.
A forgotten form that deserves more acclaim,
Put the parallelogram on geometry's game!
This shape so underrated, rarely appreciated it seems,
But with logic and virtue, strong foundations it gleams.
The parallelogram, the parallelogram, Hooray!
This is why the parallelogram is the best shape, I say!
Which expression is equivalent to z2 + z + 4z3 + 4z2 ?
Group of answer choices
A.No answer text provided.
B.5z
C.4z3 + 5z2 + z
D.4z3 + 5z2
E.9z2 + z
Does anyone know how to solve for NML?
Answers:
x = 7
angle NML = 24 degrees
=========================================================
Work Shown:
OML is the largest angle
OMN and NML are the two pieces that make up that largest angle.
They add like so
OMN + NML = OML
(9x) + (3x+3) = 10x+17
12x+3 = 10x+17
12x-10x = 17-3
2x = 14
x = 14/2
x = 7
You have the correct x value.
Now use this to find each angle
angle OMN = 9x = 9*7 = 63
angle NML = 3x+3 = 3*7+3 = 24
angle OML = 10x+17 = 10*7+17 = 87
As a check,
OMN+NML = 63+24 = 87
which matches with the measure of angle OML.
This confirms OMN+NML = OML to be true and it confirms our answers.
I just need points lol
sorry
what number represents the same amount as 2 hundreds + 12 tens + 6 ones ?
Answer:
326
Step-by-step explanation:
The value of the given expression is 326.
Given:
The given expression 2 hundreds + 12 tens + 6 ones.
To find:
The value of the given expression.
Explanation:
The numeric form of given expression is:
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
2 hundreds + 12 tens + 6 ones
Therefore, the value of the given expression is 326.
Someone help me please and thank you
Answer: 2a < 2b
Step-by-step explanation:
We are given a statement:
a < b and b < c, then 2a ____ 2b
We can use simple numbers that make the statement true.
Where,
a = 2
b = 3
c = 4
Now lets plug it in.
2 < 3 and 3 < 4, then 2(2) ____ 2(3)
and lets simplify:
2 < 3 and 3 < 4, then 4 ____ 6
We can see that 4 is less than 6,
so as a is less than b, 2a is less than 2b.
The only thing changing is the coefficient being multiplied by the variables a and b.
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a jack or a ten
If you are dealt one card from a 52-card deck. The probability that you are not dealt a jack or a ten is 12/13.
How to find the probability?Since there are 4 aces in a deck of card 52 first step is to find the number of cards not aces in a deck of 52
Number of cards not aces in a deck = 52 -4
Number of cards not aces in a deck = 48
Now let find the probability that you won't draw an ace.
Probability = 48/52
Probability = 24/26
Probability = 12/13
Therefore we can conclude that the probability is 12/13.
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Find the angle measure of a blue wedge
Answer:
14 +15 the answer is this
Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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Please help on Statistics. I feel like it should be easy but I'm just missing something
(a) The probability of spinning the wheel exactly three times and landing on BLUE is 0.216.
(b) 0.763.
(c) 0.324.
What is probability?It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible, and 1 indicating that the event is certain to occur.
(a) The probability of spinning the wheel exactly three times and landing on BLUE is 0.216.
This can be calculated by multiplying the probability of landing on BLUE (60%) at each spin:
0.6 x 0.6 x 0.6 = 0.216.
(b) The probability of spinning the wheel at least three times and landing on RED is 0.763.
This can be calculated by subtracting the probability of spinning the wheel two or fewer times and landing on RED (0.2496) from the probability of spinning the wheel at least once and landing on RED (1):
1 – 0.2496 = 0.7504.
(c) The probability of spinning the wheel 2 or fewer times and landing on GREEN is 0.324.
This can be calculated by multiplying the probability of landing on GREEN (18%) at each spin:
0.18 x 0.18 = 0.324.
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Can anyone help me with this question?
Each ounce of green coffee beans costs $0.58. Amina purchases 12.5 ounces of green coffee beans with her mother. The Green coffee beans cost $7.25.
Given that,
In the picture to create qawwal, an Arabic coffee recipe, Amina and her mother are purchasing green coffee beans. Each ounce of green coffee beans costs $0.58. Amina purchases 12.5 ounces of green coffee beans with her mother.
We have to find How much do the green coffee beans cost in total
Total cost (TC) is the lowest cost associated with generating a certain amount of product. This is the overall economic cost of production, which is made up of fixed cost as well as variable cost, which changes depending on how much of a good is produced and includes inputs like labor and raw materials.
Here, an ounce of green coffee beans costs $0.58.
Buy 12.5 ounces of green coffee beans are Amina and her mother.
Total price equals price per ounce times the number of ounces.
TC = 12.5\(\times\)0.58
TC = $ 7.25
Therefore, The Green coffee beans cost $7.25.
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Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Find two numbers whose sum is 8 and whose product is 17
Answer:
Step-by-step explanation:
x+y = 8
y = 8-x
xy = 17
x(8-x) = 17
8x - x² = 17
x² - 8x + 17 = 0
Quadratic formula
x = [8 ± √(8² – 4·1·17)] / [2·1]
= [8 ± √(-4)] / 2
= [8 ± 2i] /2
= 4±i
x = 4+i
y = 4-i
A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,
a+b=8
The product of the two numbers is,
ab=17
b=17/a
now, the equation can be written as,
a+b=8
a+(17/a)=8
a² + 17 = 8a
a²-8a+17=0
a = 4±i
Hence, the two numbers whose sum is 8 and whose product is 17 are (4+i) and (4-i).
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