Answer:
Step-by-step explanation:
\(\frac{2}{3}\) + \(\frac{1}{4}\) = \(\frac{8+3}{12}\) = \(\frac{11}{12}\) ≈ 1
The correct answer is the last one (C)
The locus of point equidistant from three vertices of a triangle is……………
Answer:
circumcenter
Step-by-step explanation:
You want to know the name of the point equidistant from the vertices of a triangle.
CircumcircleThe circle that passes through the vertices of a triangle is called a "circumcircle". It circumscribes the triangle. Its center is equidistant from all points on the circle, so is equidistant from the triangle's vertices.
The point equidistant from the vertices of a triangle is the circumcenter.
__
Additional comment
The circumcenter is at the intersection of the perpendicular bisectors of the sides of the triangle.
what must be added to 294.315 to get 301.5?
Answer:
7.185
Step-by-step explanation:
Because if u subtract them u get the answer
So 7.185 plus 294.315 is 301. 5
The minute hand of a clock is 10 inches long . What is the linear speed in terms of pi of the tip of the minute hand in inches per minute?
Answer:
the speed is about 10 inches per minute
Step-by-step explanation:
Or you could say 1/6th Inch per second
please help me if you don’t know the answer, please don’t answer it.
Answer:
Step-by-step explanation:
(1/2)/3 = x/4
1/6=x/4
x=4/6 = 2/3
Mary, who is married and the mother of three, is 35 years and expects to work until 75. She earns $55,000 per year. Mary expects inflation to be 3% over her working life, and the appropriate risk-free discount rate is 5%. Her personal consumption is equal to 27% of her after-tax earnings, and her combined federal and state marginal tax bracket is 15%. What is the amount of life insurance necessary for Mary using the Human Life Value method?
What if Mary works until 70? What would be the amount of life insurance necessary for her?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 75?
What is the amount of life insurance necessary for Mary using the Capitalization of Earnings method if she works until 70?
Mary's HLV is $2,215,773.95.
Mary's HLV if she works until 70 is $1,611,008.23.
Mary's COE if she works until 75 is $5,130,372.40.
Mary's COE if she works until 70 is $2,985,308.60.
How to find amount of life insurance?To calculate the Human Life Value insurance (HLV) of Mary, we need to determine the present value of her future income stream.
Annual after-tax earnings = $55,000 x (1 - 0.15) = $46,750
Total after-tax earnings over working life = $46,750 x (1 + 0.03)^(75-35) = $3,382,820.33
Total personal consumption = 27% x $3,382,820.33 = $914,073.89
Calculate Mary's HLV:
= $3,382,820.33 - (1 + 0.05)^(-1) x $914,073.89
= $2,215,773.95
Therefore, Mary's HLV is $2,215,773.95.
If Mary works until 70 total after-tax = $46,750 x (1 + 0.03)^(70-35) = $2,124,182.09
Mary's HLV if she works until 70 is $1,611,008.23.
To calculate the Capitalization of Earnings (COE) method. Here's how we can calculate it:
Calculate Mary's expected earnings in her final year of work:
Expected earnings in final year = $55,000 x (1 + 0.03)^(75-35) = $256,518.62
Apply a capitalization rate to the expected earnings:
COE = expected earnings in final year / capitalization rate
= $256,518.62 / 0.05
= $5,130,372.40
Therefore, Mary's COE if she works until 75 is $5,130,372.40.
If Mary works until 70, her expected earnings in her final year of work would be:
Expected earnings in final year = $55,000 x (1 + 0.03)^(70-35) = $149,265.43
Mary's COE if she works until 70 is $2,985,308.60.
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Ebony is cutting dough for pastries in her bakery. she needs all the pieces to be congruent triangles and has ensured that segment ef ≅ segment on and ∠mon ≅ ∠gef. what would ebony need to compare in order to make sure the triangles are congruent by sas? segment om and segment ef segment eg and segment om segment nm and segment fg segment eg and segment mn
The parts of the triangles Ebony needs to compare so as to make sure both triangles are congruent by SAS are;
\( \overline{EG} \) and \( \overline{OM}\)What are congruent triangles?Two triangles are said to be congruent when the three sides and three interior angles of one triangle have the same measure as the three sides and the three interior angles of the other triangle.
The given triangles are ∆MON and ∆GEF
The segments and angles that Ebony has ensured are congruent are;
\( \overline{EF} \cong \overline{ON}\)
\( \angle{ MON} \cong \angle{ GEF}\)
The method by which Ebony intends to use to make sure that the two triangles are congruent, SAS, Side–Angle–Side congruency postulate.
The Side–Angle–Side congruency postulate states that two triangles are congruent if two sides and an included angle in one triangle are congruent to the corresponding two sides and included angle in the other triangle.
Given that the sides that form included angles with \( \angle{ MON} \) are \( \overline{ON}\) and \( \overline{OM}\) and the sides that form an included angle with \( \angle{ GEF}\) are \( \overline{EF} \) and \( \overline{EG} \), the other segments Ebony needs to compare are therefore the segments;
\( \overline{EG} \) and \( \overline{OM}\)
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Britney work 35 hours at a rate of pay of 9.55 how much did she earn before taxes
Answer:
3.66
Step-by-step explanation:
35÷9.55=3.66
9 x [5 - (9 divided by 3)]
Answer:
9 X [5-(9divided by 3)] = ?
Answer is 18.
I put the equation into my calculator and solved it.
Step-by-step explanation:
Hope that this helps1 :)
Have a great rest of your day!
Answer:
18
Step-by-step explanation:
9 * (5 - (9 divided by 3))
9 * (5 - 3)
9 * 2
= 18
:)
Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?
Answer:
It's A
Step-by-step explanation:
The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation or expression is √(250c³/9d⁶)
StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot
This can be written as √250c³/√9d⁶
The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³
√ 25c²×10c/3d³
The square root of 25 is 5
5c√ 10c/3d³
Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³
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Determine whether each conclusion is based on inductive or deductive reasoning. 10. At Fumio's school if you are late five times, you will receive a detention. Fumio has been late to school five times; therefore he will receive a detention.
The conclusion in this case is based on deductive reasoning.
Deductive reasoning uses general principles or rules to draw specific conclusions. In this scenario, the general principle is that if someone is late five times, they will receive detention at Fumio's school. Based on this principle, it can be deduced that if Fumio has been late to school five times, he will receive a detention.
Inductive reasoning, on the other hand, involves making generalizations or predictions based on specific observations or patterns. It involves reasoning from specific instances to a general conclusion. In this case, the conclusion is not based on generalizing from specific instances but rather applying a specific rule or principle to a specific situation, which is characteristic of deductive reasoning.
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Darius filled up his gas tank with 24 gallons of gas. For each mile that he drives, he uses 0.06 miles of gas. (THE REST OF THE QUESTION IS DOWN BELOW, PLEASE HELP!)
Answer:
400 miles
Step-by-step explanation:
Step one:
Given data
Darius filled up his gas tank with 24 gallons of gas
Required
The distance 24 gallons will cover
Step two:
1 mile will take 0.06 gallons
hence x miles will take 24 gallons
cross multiply we have
0.06x= 24
divide both sides by 0.06
x= 24/0.06
x=400 miles
Which of the following is not true about a loan discount point? a. A point is purchased at the time of closing. b. A point is purchased for 1% of the loan amount. c. A point reduces the interest rate by 1%. d. A point bought will reduce the monthly mortgage payment. Please select the best answer from the choices provided A B C D
Answer:
c. A point reduces the interest rate by 1%.
Step-by-step explanation:
What number must you add to complete the square?
x2 + 6x = 15
A. 12
B. 9
C. 6
D. 3
Answer:
B
Step-by-step explanation:
x² + 6x = 15
to complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 15 + 9
(x + 3)² = 24
thus 9 is added to complete the square
find the amount of x. 2x+4=3x-10
Answer:
x=14
Step-by-step explanation:
You want to get x by itself on one side so you start by canceling the smaller x: 2x. You do this by subtracting 2x from both sides. You should have 4=x-10. After this, you want to cancel the -10 to get x by itself. To do this, you have to add 10 on both sides. You should have x=14. Lmk if this helps!
Answer: x=14
Step-by-step explanation:
2x+-3x=-4-10
-1x=14
X=14
The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.
To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,
ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):
ML² = 20² + 20² - 2(20)(20)cos(50°)
ML² = 400 + 400 - 800cos(50°)
ML² ≈ 617.4
Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.
So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.
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simplify the ratio 4.5: 3 1/2 in its simplest form
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 \(\frac{1}{2}\) ( multiply both parts by 2 to clear the fractions )
= 9 : 7
A triangle has two sides of length 5.6 ft and 7.8 ft.
Which value could be the length of the third side of the triangle?
1.7 ft
2.2 ft
4.8 ft
13.9 ft
Answer:
4.8 ft
Step-by-step explanation:
Can someone please HELP me and tell me if this is correct or not ????? I will mark BRIANLIEST !!!!!!!!!!!!!!
Answer:
It looks good to me!
Step-by-step explanation:
1. what does the regular expression ^comp141\.\*zip$ mean? that is, can you write an english sentence to describe it?
It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).
What is Zip and how does it work?One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.
In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.
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Find the volume of the cone. round your answer to the nearest tenth.
Answer:
18 and if I round it off to the nearest tenth it will be 20
just so you know I'm not that good at maths
You were painting a room in your house. Unfortunately, you lost the lid to the 5 gallon bucket of paint, but you only used half of the paint. You want to save the paint, so you plan on transferring it to a new container. The new container is shaped like a rectangular prism. If there are originally 1,155 cubic inches of paint in the 5 gallon bucket, is your container big enough to fit the paint that is left over? Remember that half the paint is left in the bucket.
Answer:
bro wuts da answer am so lost yo
Answer: It's my understanding that the answer would be the last one - No, the container is not large enough.....new container is 960 cubic inches. I saw this answer marked on another website but not how to find the answer.
Step-by-step explanation:
What is the sum of the two expressions? (3x−4/5) + (2x−1/3) x−3/2 5x−3/2 5x+17/15 5x−17/15
Answer:
Step-by-step explanation:
Please solve: 8n+2≤8n−9! Show your work please!
Brody and his friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a picnic table to share them. Brody evenly distributes the donuts onto 13 napkins, one for each person in the group. Each napkin has 4 donuts
LITTLE HELP HERE?
PLEASE HELP ME IM DESPERATE
Answer:
y = - \(\frac{1}{2}\) x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - \(\frac{1}{2}\) , thus
y = - \(\frac{1}{2}\) x + c ← is the partial equation
To find c , substitute (4, - 5) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = - \(\frac{1}{2}\) x - 3 ← equation of line
the diameter of a standard olympic medal is 60mm
Determine the radius of the medal
Answer:
30mm
Step-by-step explanation:
Diameter 60mm ÷ 2 = 30mm radius
Radius = 1/2 diameter
on a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).
At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.
The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.
For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).
In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.
Using the angle 270 degrees (or 3π/2 in radian measure):
x-coordinate = 2 * cos(3π/2)
y-coordinate = 2 * sin(3π/2)
Evaluating these expressions:
x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0
y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2
Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
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Which statement best describes the function H(t)=210 - 15t
Answer:
follow me and mark brainliest pls
Step-by-step explanation:
this is A function and you may likely be asked to find h( any number ) which you are required to substitute the given number in the equation ...
example ...
H(2) = 210 - 15 (2)
H(2) = 210 - 30
H(2) = 180
Evaluate the following trigonometric expression, using the principal value for the tangent.
Sin (Tan-¹-1)
The expression sin(Tan⁻¹(-1)) evaluates to √2/2.
The trigonometric expression is sin(Tan⁻¹(-1)). To evaluate this expression, we need to understand the principal value of the inverse tangent function, Tan⁻¹.
The principal value of Tan⁻¹ is the angle whose tangent is equal to the given value. In this case, Tan⁻¹(-1) represents the angle whose tangent is -1. We know that the tangent function is negative in the second and fourth quadrants.
In the second quadrant, the reference angle whose tangent is 1 is π - π/4, which is 3π/4. In the fourth quadrant, the reference angle is -π/4.
Since the expression is sin(Tan⁻¹(-1)), we need to find the sine of the angle whose tangent is -1. The sine function is positive in the second quadrant, so the sine of 3π/4 is √2/2.
Therefore, sin(Tan⁻¹(-1)) is equal to √2/2.
In summary, the expression sin(Tan⁻¹(-1)) evaluates to √2/2, which represents the sine of the angle whose tangent is -1 in the second quadrant.
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Please help me!!!!!!!