Answer:
3 and 11/18
Step-by-step explanation:
Just ask.
Hope this helps. :)
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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there are three numbers for the combination to the store safe the first number is 17 the other two numbers can be multiplied together to give a product of 24 what are all of the possibilities for other two number write your answers as multiplication equations and then write all the possible combination to the safe
1 x 24, 2 x 12, 3 x 8, and 4 x 6
17-1-24
17-2-12
17-3-8
17-4-6
Question 2 help please
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
In any triangle, the sum of the measures of its interior angle is 180°In the isosceles triangle, the two base angles are equal in measures∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Solve for p.
p + 36 = 73
p =
Answer:
p=37
Step-by-step explanation:
to get p by its self, you would do:
p+36=73
-36=-36
p=37
Answer:
37
Step-by-step explanation:
John wants to predict the frequency of rolling a 4 or 5 using a 6-sided dice with numbers one through six. Which of the following is the closest to the prediction if the number cube was rolled 600 times?
A. About 200 times
B. about 120 times
C. about 100 times
D. about 16 times
Answer:
C
Step-by-step explanation:
Given the geometric sequence an with the following information, find a7.
To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.
From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.
To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.
We can use the formula for the nth term of a geometric sequence:
An = A1 * r^(n-1)
In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.
Since we know A3 and the common ratio, we can substitute these values into the formula:
60 =\(A1 * (160/60)^(3-1)\)
Simplifying this equation, we have:
\(60 = A1 * (8/3)^260 = A1 * (64/9)\)
To isolate A1, we divide both sides of the equation by (64/9):
A1 = 60 / (64/9)
Simplifying further, we have:
A1 = 540/64 = 67.5/8.
Therefore, the first term of the sequence (A1) is 67.5/8.
Now that we know A1 and the common ratio, we can find Az using the formula:
Az = A1 * r^(z-1)
Substituting the values, we have:
Az =\((67.5/8) * (160/60)^(z-1)\)
However, we now have the formula to calculate it once we know the position z in the sequence.
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(a) Un ángulo mide 47°. ¿Cuál es la medida de su complemento?
(b) Un ángulo mide 149°. ¿Cuál es la medida de su suplemento?
El supplemento y el complemento de cada ángulo son, respectivamente:
Caso A: m ∠ A' = 43°
Caso B: m ∠ A' = 31°
¿Cómo determinar el complemento y el suplemento de un ángulo?De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:
Ángulo y su complemento
m ∠ A + m ∠ A' = 90°
Ángulo y su suplemento
m ∠ A + m ∠ A' = 90°
Donde:
m ∠ A - Ángulom ∠ A' - Complemento / Suplemento.Ahora procedemos a determinar cada ángulo faltante:
Caso A: Complemento
47° + m ∠ A' = 90°
m ∠ A' = 43°
Caso B: Suplemento
149° + m ∠ A' = 180°
m ∠ A' = 31°
ObservaciónEl enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.
The statement is written in Spanish and its answer is written in the same language.
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Help please.................
Answer:
(-4, 0) and (5/2, 0)
Step-by-step explanation:
if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0
set each factor equal to zero and solve:
2x - 5 = 0
2x = 5
x = 5/2
x + 4 = 0
x = -4
Select all of the values for x that would make the inequality 2 x > 10 true.
a 1
b 3
c 5
d 8
e30
Answer:
d 8
e 30
Step-by-step explanation:
x must be greater than 5
Answer: D E
Step-by-step explanation:
2(8) > 10
2(30) > 10
Both greater than
find a slope of the line that passes through (8,10) and (5,6)
We have to use the slope formula
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let's replace the given points
\(m=\frac{6-10}{5-8}=\frac{-4}{-3}=\frac{4}{3}\)Hence, the slope is 4/3.if D equals 4x + 10 e f equals 2x - 1 + d f equals 9 x - 15 find DF
Answer:
4x+10+2x-1=9x-15;
6x+9=9x-15;
6x-9x=-15-9;
-3x=-24;
3x=24;
from which
x=24:3=8
Then:
DF=9x-15=(9×8)-15=72-15=57
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What product is negative A. -2x (-7) x 12x(4) B. -3 x (-2) x (-4)x (-7) C. 4x (-9) x (-3) x (-1) D. -6 x (-7) x (-8 ) x0
Answer:
C
Step-by-step explanation:
a positive multiplied by a negative gives a negative
- x - = +ve
and finally
+ve x -ve = -ve
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Which relation symbol makes this number sentence true?
1/6 ___ 3/18
=
≠
The answer for your question is the equal sign
=
Find the surface area of the prism.
Answer:
382
The surface Area means adding all the areas of all faces.
Step-by-step explanation:
The formula is 2 ( hl + wh+ lw)
Height- 13
Width- 5
Length- 7
Just Substitute All Values.
2 ( 91 + 65 + 35 )
2x191
= 382
Have a wonderful Day!
A particle in the ocean moves with a wave. The motion of the particle can be modeled by the cosine function. If a 14 in. wave occurs every 10 s, write a function that models the height of the particle in inches y as it moves in seconds x. What is the period of the function?
The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
How to find the cosine function of this problem?he cosine function can be used to model periodic motion, and its general form is:
y = A cos (Bx + C) + D
where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.
In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.
Therefore, the frequency is:
\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)
We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.
Now we can write the function that models the height of the particle in inches y as it moves in seconds x:
y = 7 cos (2π * 0.1 * x)
Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.
Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.
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Given P=0.15M +20. Is P a function of M? explain your choice using the definition of a function
Answer: Yes, this is a linear function between P and M.
Step-by-step explanation:
We can define a function as a relation between two or more variables, like y = f(x).
This function, maps the elements x (the input) into elements y (the output).
We have a rule for a function: Each input x can be mapped into only one output y.
In this case, we have:
P = 0.15*M + 20.
Let's prove that each value of M is related to only one value of P.
Suppose that, for a given M0, we have:
0.15*M0 + 20 = p1
and also for M0, we have:
0.15*M0 + 20 = p2
This means that p1 = p2, so we can not have different outputs for the same input.
This is a linear relation, so each value of M is related to only one value of P.
Then this is a function P(m) = 0.15*M + 20.
Jessica wants to buy a new chair that has a regular price of $75 this week the chair will be on sale for 12% discount how much money will Jessica save if she buys at chair this week
Answer:
68.75
Step-by-step explanation:
75 divided by 12 is 6.25 so you subtract 6.25 from 75 and get your answer.
i hope this helps.
for each situation, determine taxable income, assuming pretax accounting income is $100 million
Answer:
Temporary Differences Reported First on: The Income Statement The Tax Return Revenue Expense Revenue Expense1) $272) $273) $274) $275) $22 $276) $27 $227) $22 $27 $178) $22 $27 $12 $17Taxable Income assuming pretax accounting income is $100 million1) Pretax Income - Revenue = $100m - $27m = $73m2) Pretax Income + Expense = $100m + $27m = $127m3) Pretax Income + Revenue Return = $100m + $27m = $127m4) Pretax Income - Expense Return = $100m - $27m = $73m5) Pretax Income - Revenue + Expense = $100m - $22m + $27m = $105m6) Pretax Income + Expense + Revenue Return = $100m + $27m + $22m = $149m7) Pretax Income - Revenue + Expense - Expense Return = $100m - $22m + $27m - $17m = $88m8) Pretax Income - Revenue + Expense + Revenue Return - Expense Return = $100m - $22m + $27m + $12m- $17m = $100m
Step-by-step explanation:
First, return is added to differentiate revenue and expense from the tax return from that of the income statement.Temporary difference is defined as the difference between the tax and financial reporting bases of assets and liabilities. These differences can result in taxable or deductible amounts in future years (deferred tax assets or liabilities).For each scenario, temporal difference of revenue reported first in the income statement is deducted from the pretax accounting income while expenses are added back to the pretax accounting income.For temporal differences from the tax return, the revenue is added to the pretax accounting income while expenses are deducted.
(8p-2)(6p+2)
multiplying polynomials please help me
Answer:
48p2+4p-4
Step-by-step explanation:
Answer:
48p² +4p -4
Step-by-step explanation:
A polynomial of two terms is called a 'binomial'.
Here, we are multiplying 2 binomials.
This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"
You do it like this:
multiply the 'first terms' of each binomial --> 8p*6p = 48p²
multiply the 'outside' terms, far left and far right --> 8p*2 = 16p
multiply the 'inside' terms, the two terms in the 'middle' --> -2*6p = -12p
multiply the 'last' terms of each binomial --> -2 * 2 = -4
Add 'like' terms: 48p² + (16p - 12p) -4
Answer ---> 48p² +4p -4
The plot below shows the amount of time Mira spent on
5
55 math problems.
All measurements are rounded to the nearest
1
4
4
1
start fraction, 1, divided by, 4, end fraction minute.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten. An unlabeled tick mark appears between each labeled tick mark. Dots are plotted as follows: 2 dots above the unlabeled tick mark between eight and eight and a half and 3 dots above nine and a half.
A line plot labeled Time per problem (minutes) shows, moving left to right, labeled tick marks at seven, seven and a half, eight, eight and a half, nine, nine and a half, and ten.
If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
If Mira had spent the same total amount of time but an equal amount of time on each problem, each problem would have taken around 2.36 minutes.
In the given plot, Mira spent varying amounts of time on each of the 55 math problems. To find out how many minutes each problem would have taken if Mira had spent an equal amount of time on each problem, we need to calculate the total time she spent and divide it by the number of problems.
Looking at the plot, we can estimate the total time Mira spent by counting the dots above each tick mark and multiplying them by the corresponding time interval. Let's break it down step by step:
The tick marks on the plot are at 7, 7.5, 8, 8.5, 9, 9.5, and 10 minutes per problem.
There are 2 dots above the unlabeled tick mark between 8 and 8.5 minutes per problem. We can assume it represents 8.25 minutes.
There are 3 dots above the 9.5 minutes per problem tick mark.
Now, let's calculate the total time Mira spent:
(7 * 2) + (7.5 * 2) + (8 * 2) + (8.25 * 2) + (9 * 2) + (9.5 * 3) + (10 * 2) = 129.5 minutes.
Since Mira spent a total of 129.5 minutes on 55 problems, each problem would have taken approximately 2.36 minutes (rounded to two decimal places) if she had spent an equal amount of time on each problem.
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describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
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Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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norma had 3/8 birthday cake left over from her party she ate 3/4 of the cake for lunch. how much did she eat at lunch?
Answer:
1/12
Step-by-step explanation:
Fraction is the representation of the parts of a whole number. The amount of cake ate by Norma in the lunch is 9/32 parts.
Given-Total cake left over by the Norma after the party is 3/8.
Total cake she ate for the lunch is 3/4.
The value of the whole cake is given in the fraction parts. To solve this the fraction should be understood.
What is fraction?Fraction is the representation of the parts of a whole number.
As the one whole of cake was there earlier. The 3/8 part of the cake is,
\(=\dfrac{3}{8}\)
As she ate the 3/4 part of the left over cake in the lunch. Suppose the part of cake she ate is x. Therefore the part of cake she ate at lunch is,
\(x=\dfrac{3}{8} \times\dfrac{3}{4}\)
\(x=\dfrac{9}{32}\)
Hence, the amount of cake ate by Norma in the lunch is 9/32 parts.
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A race car traveled for 2 1/2hours with an average speed of 132 5/8 km per hour. Find the total distance it covered.
Answer: The total distance covered by the car is 331 9/16 km.
Step-by-step explanation:
We know that, speed= distance/time taken
Therefore, distance = speed x time taken
= 132 5/8 x 2 1/2
= 5/2 x 1061/8
= 5305/16
= 331 9/16 km
Therefore, total distance is 331 9/16 km.
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Find all points on the x-axis that are 16 units from the point (5,-8)
To find all points on the x-axis that are 16 units away from the point (5, -8), we can use the distance formula. The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, the y-coordinate of the point (5, -8) is -8, which lies on the x-axis. So, any point on the x-axis will have a y-coordinate of 0. Let's substitute the given values and solve for the x-coordinate.
d = √((x - 5)² + (0 - (-8))²)
Simplifying:
d = √((x - 5)² + 64)
Now, we want the distance d to be equal to 16 units. So, we set up the equation:
16 = √((x - 5)² + 64)
Squaring both sides of the equation to eliminate the square root:
16² = (x - 5)² + 64
256 = (x - 5)² + 64
Subtracting 64 from both sides:
192 = (x - 5)²
Taking the square root of both sides
√192 = x - 5
±√192 = x - 5
x = 5 ± √192
Therefore, the two points on the x-axis that are 16 units away from the point (5, -8) are:
Point 1: (5 + √192, 0)
Point 2: (5 - √192, 0)
In summary, the points on the x-axis that are 16 units away from the point (5, -8) are (5 + √192, 0) and (5 - √192, 0).
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Caculate.
2 1/4÷(3/8÷1/2)
let's firstly convert the mixed fraction to improper fraction and proceed from there.
\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)
The right rectangular prism shown below is made of equal-sized cubes. The side lengthof each cube is of an inch.What is the volume, in cubic inches, of the right rectangular prism?A :10B :2 1/2 C:5/8 D:7/16
The Volume of a cube is computed as follows:
V = side³
Each side is 1/4 in, then the volume is:
V = (1/4)³ = 1/64 in³
The prism is 5 cubes long, 4 cubes high and 2 cubes wide, then the number of cubes in the prism is:
5*4*2 = 40 cubes
Finally, the volume of the prism is 40*1/64 = 40/64 = 5/8 in³
what is the slope of the line on the graph?
Answer:
1/6
Step-by-step explanation:
A (6,1)
B (12,2)
slope = (2-1)/(12-6)
1/6
An automobile battery manufacturer claims that its midgrade battery has amean life of 50 months with a standard deviation of 6 months. Suppose thedistribution of battery lives of this particular brand is approximately normal.ba. On the assumption that the manufacturer's claims are true, find theprobability that a randomly selected battery of this type will last less than 48months.Your answer6b. On the same assumption, find the probability that the mean of a randomsample of 36 such batteries will be less than 48 months.
Given data:
The given mean life is m=50 months.
The given standard deviation is s=6 months.
The given value of battery life is x= 48 months.
The expression for the probability of that a randomly selected battery will last less than 48 months is,
\(\begin{gathered} P(Z<\frac{x-m}{s})=P(Z<\frac{48-50}{6}) \\ =P(Z<-\frac{1}{3}) \end{gathered}\)Refere the Z-table the value of the above expression is 0.3707.
Thus, the probability that a randomly selected battery will last less than 48 months is 0.3707.
The scale of a map says that 4 cm represents 5 km. I What distance on the map (in centimeters) represents an actual distance of 4 kilometers? cm Question 5B
Answer: 3.2 cm
Step-by-step explanation: 4 ÷ 5 = 0.8
0.8 × 4 = 3.2