Answer:
$191.25
Step-by-step explanation:
15% of $225
15% × $225
$33.75
$225 - $33.75
$191.25
Given: ∆MNP, PM = 8 m∠P = 90°, m∠N = 58° Find: Perimeter of ∆MNP
(Not 22.4 or 22.43)
Please answer ASAP, brainly awarded.
Answer:
Step-by-step explanation:
Triangle MNP is a right triangle with the following values:
m∠P = 90°m∠N = 58°PM = 8Interior angles of a triangle sum to 180°. Therefore:
m∠M + m∠N + m∠P = 180°
m∠M + 58° + 90° = 180°
m∠M + 148° = 180°
m∠M = 32°
To find the measures of sides MN and NP, use the Law of Sines:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Substitute the values into the formula:
\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)
\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)
Therefore:
\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)
\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)
To find the perimeter of triangle MNP, sum the lengths of the sides.
\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)
identify the graph that represents the given system of inequalities. also, identify two ordered pairs that are solutions to the system. y ≤ x 5 y ≤ 2x 3
Ordered pair (0, 6) and (2, 7) satisfy both inequalities in the system and are solutions to the system.
To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.
When we plot the graph of inequality separately:
y > x + 5:Draw a dashed line y = x + 5 (not including the line).Shade the region above the line.2. y ≥ 2x + 3:
Draw a solid line y = 2x + 3 (including the line).Shade the region above the line.The overlapping shaded region represents the solution to the system of inequalities.
To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:
Ordered pair 1: (0, 6)
Ordered pair 2: (2, 7)
These two points satisfy both inequalities in the system and are solutions to the system.
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The correct question is given below -
Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.
y > x + 5
y ≥ 2x + 3
The least common multiple of two numbers is 24. Which could be the two numbers? O 6 and 8 O4 and 6 O 8 and 16 O 4 and 12
Answer: 6 and 8
Step-by-step explanation: because if you multiply and find multiples than its 24
Answer:
THE ANSWER IS B
Step-by-step explanation:
i got 100 :)
Lisa was 48 inches tall when she was younger. She grew 2 22 inches per year. Lisa
is now 63 inches tall. How many years did Lisa grow for?
a. 5
b. 6
c. 7
d. 8
Answer:
B.6
Step-by-step explanation:
Lisa was 48 inches tall when she was younger. She grew 2 1/2 inches per year. Lisa
is now 63 inches tall. How many years did Lisa grow for?
a. 5
b. 6
c. 7
d. 8
2 1/2=5/2
48+(5/2*5)=48+12.5=60.5
48+(5/2*6)=48+15=63
therefore it is answer b
1.Consider a 64-bit architecture machine where physical memory is 128GB a.If we would like to run processes as big as 256GB how many bits would be required for the logical address? 38 2 9& 25661 b.If we are using pages of size 4KB, how many bits are needed for displacement into a page? 12 bits 4KB= c.If a single level page table is used, what is the maximum number of entries in this table? 38 26 entries d.What is the size of this single level page table in terms of 4KB pages? 2o Pages e. If a two-level page-table is used and the outer page table is an 4KB page,how many entries does it contain, maximally? f. How many bits of the logical address are used to specify an index into the inner page (page of page table)?
a). 2^38 bytes of memory
b). 12 bits
c). The maximum number of entries in the single-level page table would be 2^38.
d). The size would be 2^38 * 4KB, which equals 2^20 pages.
e). The maximum number of entries it can have depends on the remaining bits of the logical address.
f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.
a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.
b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.
c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.
d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.
e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.
f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.
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Which of the following notations correctly describe the end behavior of the
polynomial graphed below?
Answer:
A
Step-by-step explanation:
As x gets larger, the y-values became more and more negative. This means that as x approach infinity, y approaches negative infinity.
On the other side, as x gets smaller, the y-value also gets more and more negative. This means as x approaches negative infinity, y also approaches negative infinity.
This is shown in answer option A.
6th Grade Math 3.10 - 3.16 Assessm
6th Grade Math 3.10 - 3.16 Assessment
>>
How long is 10% of a 24-hour day?
O 2 hours
10 hours
12 hours
0 2.4 hours
s
What is the answer
Answer:
Step-by-step explanation:
10% of 24 hours = 0.10×24 hours = 2.4 hours
Find the area of the circle.
25 yd
If a new line, p, is drawn parallel to line I, which
statement is true?
O Line p must be drawn in plane B.
O Line p must be perpendicular to line m.
O Line p must be drawn so that it can lie in the same
plane as line 1
O Line p must be drawn in the same plane as line n.
Line p must be drawn so that it can lie in the same plane as line 1
Line p must be drawn in a way that allows it to lie in the same plane as line l.
What is a plane?In geometry, a plane extends in two dimensions indefinitely. There is no width. In coordinate geometry, a plane can be seen as an example. The positions of points in a plane are determined by their coordinates.
A plane is a flat, two-dimensional surface in mathematics that extends indefinitely. A plane is a two-dimensional analog that can incorporate three dimensions of space, a line, and a point.
Given two planes A and B,
and line l is in plane A,
to draw a line parallel to l,
"Two lines in the same plane, which are equally spaced apart and never cross" are parallel lines.
In order for a new line, p, to lie in the same plane as line l, it must be drawn parallel to line l.
Plane A contains line l.
Thus, plane A is where the line p must be drawn.
Hence option C is correct.
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Factor the trinomial below
X^2-12x+35
O A. (x - 5)(x - 7)
• B. (x+ 5) (x + 7)
O C.(x+ 5)(X-7)
O D. (x - 5) (x + 7)
Answer:
A
Step-by-step explanation:
x² - 12x + 35
consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)
the factors are - 5 and - 7 , since
- 5 × - 7 = + 35 and - 5 - 7 = - 12 , then
x² - 12x + 35 = (x - 5)(x - 7) ← in factored form
Hi can someone help me on this question? Please:)!
Answer:
the number of rotations is dependent on the number of minutes
Step-by-step explanation:
as time passes the number of rotations increases if time did not pass at all then the number of rotations would not increase or decrease at all
if you went to college and earned a four-year degree, how much more money would you expect to earn each year than if you did not graduate from high school?
If you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.
The pursuit of a college education is such a crucial life goal that it has taken center stage in the "American Dream." Attend college, secure a career, purchase a home, and start a family. Even if it isn't usually that easy, it all begins with your college education.
According to a study conducted across the country and released by the State Higher Education Executive Officers Association (sheeo.org), the average pay for high school graduates is close to $30,000. Graduates with a bachelor's degree typically make a little over $50,000 per year.
The average annual salary for those with higher level degrees (master's, doctoral, or professional) is also close to $70,000. This results in a sizable wage discrepancy over the course of a person's lifetime.
Hence, if you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.
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what is the area of a circle when radius=5
Answer:
Step-by-step explanation:
Radius of the circle = 5
Area of a circle = pi r^2
= 3.14 × 5^2
= 3.14 × 25
= 78.5
Hope this helps
Plz mark it as brainliest !!!!!!
The image of the A(2, -3) after a transformation by the mapping (x,y) to ( 2x, y+2) is the point: *
3 points
A) (4, 1)
B) (4,-1)
C (4, 5)
(D (4,5)
Answer:
Step-by-step explanation:
B
In this figure, AB∥CD and m∠1=110°. What is m∠5 ? 90° 180° 70° 110°
Answer:
110 hope u get a good grade:) add me on ig welia.martinez
.
Step-by-step explanation:
How do you convert cm into mL?
Answer:divideing by the whole number
Step-by-step explanation:
. in how many ways can we draw two red, three green, and two purple balls if the balls are considered distinct?
There are 24 different ways we can draw two red, three green, and two purple balls if the balls are considered distinct.
To determine the number of ways we can draw the balls, we can use the concept of permutations. Since the balls are considered distinct, the order in which they are drawn matters.
First, let's consider the red balls. We need to choose 2 out of the available 2 red balls, so the number of ways to choose them is 2P2 = 2! = 2.
Next, let's consider the green balls. We need to choose 3 out of the available 3 green balls, so the number of ways to choose them is 3P3 = 3! = 6.
Finally, let's consider the purple balls. We need to choose 2 out of the available 2 purple balls, so the number of ways to choose them is 2P2 = 2! = 2.
To find the total number of ways we can draw the balls, we multiply the number of ways for each color: 2 * 6 * 2 = 24.
Therefore, there are 24 different ways we can draw two red, three green, and two purple balls if the balls are considered distinct.
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Zoologists estimate that a randomly selected baby giraffe has a 32% chance of surviving to adulthood. Assume this estimate is correct. Suppose researchers select 100 baby giraffes at random to tag and monitor. Let X = the number that survive to adulthood.
Which conditions for a binomial setting have been met for this scenario?
Binary?
Independent?
Number of trials?
Same probability?
Answer:
All are Yes ^^^
Step-by-step explanation:
Got it right
a force of 5 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 1.1 feet beyond its natural length?
The work done in stretching the spring from its natural length to 1.1 feet beyond its natural length is 6.125 foot-pounds.
The work done in extending a spring is given by the formula: W = (1/2)kx^2, where W is the work done, k is the spring constant, and x is the displacement from the natural length of the spring.
First, we need to find the spring constant k. Since a force of 5 pounds is required to hold the spring stretched 0.6 feet beyond its natural length, we can use the formula k = F/x to find k:
k = F/x = 5/0.6 = 8.33 pounds/foot
Now, we can find the work done in stretching the spring from its natural length to 1.1 feet beyond its natural length:
W = (1/2)kx^2 = (1/2)(8.33)(0.5^2) = 6.125 foot-pounds.
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A helicopter is hovering 100 meters above the ocean. Directly below it, a submarine is at a depth of 200 meters.
The altimeter on the helicopter reads
meters, which means it is 100 meters
sea level. The altimeter on the submarine reads
meters, which means it is 200 meters
sea level.
Answer:
100
2. Above,
3. -200−200 ,
4. Below
Marco has a piece of wire 18 inches long. He wants to bend the wire into a triangle. Which of the
following combinations of side lengths are possible for the triangle Marco creates?
A
1 in. , 9 in. , 8 in.
с
12 in. , 3 in. , 3 in.
00
B
3 in. , 5 in. , 10 in.
D
2 in. , 8 in. , 8 in.
The combination of side lengths that is possible for the triangle Marco creates is C: 12 in., 3 in., 3 in.
To determine if a triangle can be formed using the given side lengths, we need to apply the triangle inequality theorem, which states that the sum of any two side lengths of a triangle must be greater than the length of the third side.
In combination A (1 in., 9 in., 8 in.), the sum of the two smaller sides (1 in. + 8 in.) is 9 in., which is not greater than the length of the remaining side (9 in.). Therefore, combination A is not possible.
In combination B (3 in., 5 in., 10 in.), the sum of the two smaller sides (3 in. + 5 in.) is 8 in., which is not greater than the length of the remaining side (10 in.). Hence, combination B is not possible.
In combination C (12 in., 3 in., 3 in.), the sum of the two smaller sides (3 in. + 3 in.) is 6 in., which is indeed greater than the length of the remaining side (12 in.). Thus, combination C is possible.
In combination D (2 in., 8 in., 8 in.), the sum of the two smaller sides (2 in. + 8 in.) is 10 in., which is equal to the length of the remaining side (8 in.). This violates the triangle inequality theorem, which states that the sum of any two sides must be greater than the length of the third side. Therefore, combination D is not possible.
Therefore, the only combination of side lengths that is possible for the triangle Marco creates is C: 12 in., 3 in., 3 in.
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6.5.3 if (x1, . . . , xn) is a sample from a pareto(α) distribution (see exercise 6.2.9), whereα > 0 is unknown, determine the fisher information.
The Fisher information for a Pareto(α) distribution is I(α) = nα² / (α - 1)².
To determine the Fisher information for a sample from a Pareto(α) distribution, follow these steps:
1. Recall the Pareto(α) probability density function (PDF): f(x) = αxᵃ⁺¹), where x ≥ 1 and α > 0.
2. Compute the log-likelihood function, L(α) = ln(f(x1,...,xn)) = ∑ ln(α) - (α+1)ln(xi) for i = 1 to n.
3. Differentiate L(α) with respect to α: dL/dα = ∑ (1/α) - ln(xi).
4. Differentiate dL/dα again: d²L/dα² = -∑ (1/α²).
5. The Fisher information is the negative expectation of the second derivative: I(α) = -E(d²L/dα²).
6. Apply the Pareto(α) distribution's expectation: I(α) = nα² / (α - 1)².
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a boat travels 24 km in 90 minutes what's the average speed?
help me with this question
\(\\ \bull\tt\dashrightarrow Diameter=2(Radius)\)
\(\\ \bull\tt\dashrightarrow Diameter=2(4.2)\)
\(\\ \bull\tt\dashrightarrow Diameter=8.2m\)
Answer:
Solution given:
radius [r]=4.2m
since
diameter is twice of radius
so
diameter=2*radius=2*4.2=8.4m
option B.8.4m
PLease please please help quick
Answer:
B
Step-by-step explanation:
Same as last. multiple 8 into the entire equation.
Answer:
-80x+28y-56
4(-20x+7y-14)
Step-by-step explanation:
What are the x-intercepts of the quadratic functions f(x) = (x + 7)(x − 5)?
Answer:
-7 and 5
Step-by-step explanation:
To tell what the x intercepts are you set both (x+7) and (x-5) equal to zero and then subtract/ add it to zero and then you have the answer. So x+7=0 would be x=-7 and x-5=0 would be 5
Authorities conducted an investigation and found that the chensical Troxin was illegally dumped into the local swamp. Exactly four days afler the assumed firme of the cirne, the amount of Trioxin in the swamp was estimated at aboct 44.4 barrels, and exactly seven days after the cime, it was entirnated at 20.4 harrels. Aesume that no Trioxin was in the swamp before the crime, and that Trioxin decays exponentially Construct a model that estimates the amount of Trioxin (in barrels) remaining in the swamp t days after il was dumped, then use that model to answer the following 1) According to the modes, how much Trioxin was initially dumped into the ewamp? ROUND TOONE DECIMA. PLACE. About barrets were inilialy dumpod into the swamp. 2) According to the model, at what rate was the amount of Trioxin in the swamp decreasing exactly 4 days after it was dumped? ROUNO TO ONE DECIMAL FLAEE The Trioxin was décreasing at a rate of barrels per day. 3) How many days affor the crime willdid it take for the amount of Trioxin in the swamp to drop to 2 barrels? ROUNO TO ONE DECIMAL. PLACE It took or will take aboul days.
To construct a model for the amount of Trioxin remaining in the swamp t days after it was dumped, we can use the exponential decay model:
A(t) = A₀ * e^(-kt),
where A(t) represents the amount of Trioxin remaining at time t, A₀ represents the initial amount of Trioxin dumped, k is the decay constant, and e is the base of the natural logarithm.
Let's use the given data points to solve for the parameters A₀ and k:
At t = 4 days: A(4) = 44.4 barrels
At t = 7 days: A(7) = 20.4 barrels
From these equations, we can set up a system of equations:
A₀ * e^(-4k) = 44.4, ----(1)
A₀ * e^(-7k) = 20.4. ----(2)
Divide equation (2) by equation (1) to eliminate A₀:
(e^(-7k)) / (e^(-4k)) = 20.4 / 44.4
e^(-7k + 4k) = 0.4595
e^(-3k) = 0.4595
Now, take the natural logarithm of both sides:
-3k = ln(0.4595)
k = ln(0.4595) / (-3)
Substitute the value of k back into equation (1) to solve for A₀:
A₀ * e^(-4 * ln(0.4595) / (-3)) = 44.4
A₀ * e^(4 * ln(0.4595) / 3) = 44.4
A₀ = 44.4 / e^(4 * ln(0.4595) / 3)
Now, we have the model for the amount of Trioxin remaining in the swamp t days after it was dumped:
A(t) = (44.4 / e^(4 * ln(0.4595) / 3)) * e^(-kt)
Now we can use this model to answer the questions:
According to the model, the amount of Trioxin initially dumped into the swamp is given by A₀:
A₀ = 44.4 / e^(4 * ln(0.4595) / 3)
Calculate A₀ and round to one decimal place.
To find the rate at which the amount of Trioxin is decreasing exactly 4 days after it was dumped, we can take the derivative of A(t) with respect to t and evaluate it at t = 4:
dA/dt = -A₀ * k * e^(-kt)
Rate of decrease at t = 4: -A₀ * k * e^(-4k)
Calculate this rate and round to one decimal place.
To find the number of days it takes for the amount of Trioxin in the swamp to drop to 2 barrels, we need to solve the equation A(t) = 2 for t:
(44.4 / e^(4 * ln(0.4595) / 3)) * e^(-kt) = 2
Solve this equation for t and round to one decimal place.
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Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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What is the solution to the system of equations?
5x – 4y = 6
–5x + 4y = –10
plz answer asap I rlly need help
Answer:
-8/10, -3/16, 3/16
Step-by-step explanation: