Answer:
it's the first one. I
n my thinking
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
classify the quadrilateral by its most specific name. then find the missing angle measure(s)
The specific name of the quadrilateral is trapezoid
The measure of the missing angle is 55 degrees
How to determine the valueTo determine the measure of the angle, we need to know the following;
The properties of a trapezoid are listed as;
The bases are parallel to each other.Opposite sides of a trapezoid (isosceles) are of the same length.Angles next to each other sum up to 180 degreesThe median is parallel to both the bases.Median's length is the average of both the basesFrom the information given, we have that;
125 + x = 180
collect the like terms, we have;
x = 180 - 125
subtract the values, we get;
x = 55 degrees
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the guy took 15 pieses and there is 4 left
The number of pieces in the bowl before she added the 20 is 8 pieces of candy
Here, we want to get the number of pieces in the bowl before the addition of the 20 pieces
Let the number of pieces before the addition be n
she added 20 pieces to what is there initially, this brings the total to;
\(n\text{ + 20}\)Now, two days after the addition, half of the above is gone
Half of the above is;
\(\frac{n+20}{2}\)Now, the difference between the number of pieces in the bowl after the addition of the 20 and the half gone is 14; we have the equation as thus;
\(\begin{gathered} n\text{ + 20 - (}\frac{n+20}{2})\text{ = 14} \\ \\ 2(n+20)-(n+20)\text{ = 28} \\ n\text{ +20 = 28} \\ n\text{ = 28-20} \\ n\text{ = 8} \end{gathered}\)PLEASEEEE HELPPPP ME!!!
Answer:
a,b,d
Step-by-step explanation:
I think the answer might be 1, 4, and 5. Hope this helps!
Use this area model to find One-fourth divided by 3.
One-fourth divided by 3 =
.
Answer:
1/12
Step-by-step explanation:
This answer is right
Draw a valid conclusion from the given statements, if possible. Then state whether your conclusion was drawn using the Law of Detachment or the Law of Syllogism. If no valid conclusion can be drawn, write no valid conclusion and explain your reasoning.
Given: If two angles are complementary, the sum of the measures of the angles is 90 .
∠1 and ∠2 are complements of each other.
Statements 1 and 2 are true statements, the conclusion agrees with the laws of syllogism.
Given,
If two angles are complementary, the sum of the measures of the angles is 90° .
∠1 and ∠2 are complements of each other.Now,
Complementary angles: The sum of two angles is 90 degrees than the angles are said to be complement of each other .
Complementary angles : ∠1 + ∠2 = 90°
Both angles are complement to each other ,
∠1 = 90 - ∠2
∠2 = 90 - ∠1
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1. Find the measure of
Answer:
p = 70 degree
c = 70 degree
2 ptsQuestion 1Given: BACOAD ONLA ZOProve: ABAD ACON1. BACO, ADONZA 201. (Select)2. ABAD ACON2Select)(Picture will be provided.)
We are given the following picture
We are given the following statements
- Line BA is congruent to line OC
- Line ON is congruent to line DA
- Angle A is congruent to angle O
If we highlight the congruencies we get
where the matching colors indicate congruency. As we can see, we have a pair of sides that are congruent and the included angle are also congruent. This is the condition for the SAS theorem to apply. Hence both triangles are congruent by the SAS theorem
let be the tangent plane to the graph of (,)=26−132−262 at the point (4,2,−286). let (,)=26−2−2. find the point on the graph of where the tangent plane is parallel to .
The point on the graph where the tangent plane is parallel is (52, 52, -5382).
What is the tangent plane?
The surface that contains all tangent lines of the curve at a point, $P$, that lies on the surface and passes through the point is represented by the tangent plane. We discovered earlier in our talks of derivatives and tangent lines that we can use tangent lines to mimic the behavior of a graph. We may employ tangent planes for a similar reason now that we're working with multivariable functions and three-dimensional coordinate systems.
Here, we have
Given: Let P be the tangent plane to the graph of g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286). Let f(x, y) = 26 – x² - y².
We have to find the point on the graph where the tangent plane is parallel.
Let P be the tangent plane to the graph z = g(x, y) = 26 – 13x² – 26y² at the point (4, 2, –286).
φ(x,y,z) = 13x² + 26y² + z - 26
Δφ = 26xi + 52yj + k
Δφ(4, 2, –286) = 104i + 104j + k
Then,
P: 104(x-4) + 104(y-2)+1(z+286) = 0
104x + 104y + z = 338...(1)
Now, Let
ψ(x,y,z) = x² + y² + z - 26
Δψ = 2xi + 2yj + k
Let (x₀,y₀,z₀) be the point of the graph z = f(x,y) = 26 – x² - y² where the tangent plane in the plane is parallel to equation (1).
Δψ (x₀,y₀,z₀) = (2x₀,2y₀,1)
= 2x₀/104 = 2y₀/104 = 1/1
x₀ = 52 = y₀
Now, z₀ = 26 – x₀² - y₀² = 26 – 52² - 52²= -5382
Hence, the point on the graph where the tangent plane is parallel is (52, 52, -5382).
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According to this partial W-2 form, how much money was paid in FICA taxes?
A. $418.53
B. $1789.87
C. $1906.86
D. $2208.10
Answer:
a To$4198i0 multiple times a week and prosperity in 44 approximate length of 4X5
Triangle with the coordinates , , and is translated 2 units left and 4 units up. What is the y-coordinate for point ?.
Answer:-2, 4
Step-by-step explanation:
Determine the quotient of 3/7divided by 2/3
Answer:
9/14
Step-by-step explanation:
3/7 divided by 2/3?
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction: 3/7 divided by 2/3 = 3/7 multiplied by 3/2
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
3/7 x 2/3 = 9/14
Answer:
9/14
Step-by-step explanation:
3/7 × 3/2
top part of fractions
3×3 = 9
bottom part of fractions
2×7 = 14
9/14 cannot be simplified so final answer is
9/14
Professor Zsolt Ugray lives in Boston and is planning his retirement. He plans to move to Florida and wants to buy a boat. The boat he is buying is a "2007 Sea Ray 340 Sundancer" (see image).
Using your Excel skills and understanding of financial functions, you're helping Prof. Ugray assess the impact of this loan on his finances. To buy this boat, Prof. Ugray will get a large Loan ($150,000) and pay $1,770 monthly during 10 years.
Calculate below:
- The monthly rate for this loan
- The annual rate for this loan
- The effective annual rate for this loan
- Total Amount Paid After 10 Years
- The Future value for this loan.
The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.
Given loan: $150,000
Payment per month: $1,770
Duration of loan: 10 years
Interest = ?
The formula for monthly payment is given by:
\(PV = pmt x (1 - (1 + r)^-n) / r\)
Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.
r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:
Annual rate = \((1 + Monthly rate)^12 - 1\)
Annual rate = 12.1423%
The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:
Effective annual rate =\((1 + r/n)^n - 1\)
Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12
Effective annual rate = (1 + 1.0118%/12)^12 - 1
Effective annual rate = 12.6801%
The effective annual rate for this loan is 12.6801%.
Total amount paid after 10 years = Monthly payment x Number of payments
Total amount paid after 10 years = $1,770 x 120
Total amount paid after 10 years = $212,400
The total amount paid after 10 years is $212,400.
The future value for this loan can be calculated using the following formula:
FV = PV x (1 + r)^n
Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)
FV = $150,000 x (1 + 1.0118%)^120
FV = $259,554.50
The future value for this loan is $259,554.50.
Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.
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Twenty percent of the students in a class of 400 are planning to go to graduate school. the standard deviation of this binomial distribution is:__________
The standard deviation of this binomial distribution is 8
How to detemrine the standard deviationSince the students either plan to go to graduate school or not, this is a binomial distribution with parameters
n = 400 and p = 0.2.
The formula for the standard deviation of a binomial distribution is:
σ = √(n * p * (1 - p))
Substituting the values given, we get:
σ = √(400 * 0.2 * (1 - 0.2))
So, we have
= √(400 * 0.2 * 0.8)
Evaluate
= 8
Hence, the standard deviation of this binomial distribution is 8.
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Find n if √n = √81 - √16
Given the following assignments:
num1 = 12 num2 = 5 num3 = 10 num4 = 3
What are the results of the following expressions?
The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.
To determine the results of the expressions, we can evaluate them using the given assignments:
num1 + num2:
Result: 12 + 5 = 17
num3 - num4:
Result: 10 - 3 = 7
num1 * num4 - num2:
Result: 12 * 3 - 5 = 31
num3 / num2:
Result: 10 / 5 = 2
num1 % num4:
Result: 12 % 3 = 0
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Simplify the given expression below:
(3 + 4i) + (5 - 2i)
1) -2 + 6i
2) 2 - 2i
3) 7 +3i
4) 8 + 2i
Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
Hi can someone please answer this question?
Thank you :)
Answer:
\(\frac{7}{8}\)
Step-by-step explanation:
Remember that slope, or in this case pitch, is equal to rise divided by run. In other words:
\(m=\frac{rise}{run}\)
where m is the slope.
From looking at the image, we can see that the rise 21 feet and the run is 24 feet. By plugging this information into the equation, we get:
\(m=\frac{21}{24}=\frac{7}{8}\)
So the slope, or pitch, of the roof id 7/8.
I hope you find my answer and explanation to be helpful. Happy studying.
Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?
The figure shown is reflected over the x-axis, then reflected
over the y-axis, and then translated 3 units right.
Which graph best represents the new position of the figure
after the three transformations?
Select one:
Answer:
grapgh?????
Step-by-step explanation:
D
Two friends rent an apartment together.
They agree that one person will
рау 1.5
times what the other person pays. If the rent
is $850, how much will each friend pay?
Answer:
Friend A pays $340 and friend B pays $510
Step-by-step explanation:
Let's call
x: payment of friend A
1.5x: payment of friend B
The sum of both payments must total $850, thus:
x + 1.5x = 850
Simplifying:
2.5x=850
x = 340
Now for friend B:
1.5x=1.5*340=510
Friend A pays $340 and friend B pays $510
Fill in the blank
The complement of "at least one" is
O "more than one."
O "one."
O "one or less."
O "none."
Answer: D. "none."
Step-by-step explanation: The complement of "at least one" is "none."
When we say "at least one," it means that there is a minimum of one of something. Therefore, the complement of "at least one" refers to the opposite condition, where there is no occurrence of that something.
Here's an example. Suppose you have a bag of marbles, and you are told that the bag contains at least one red marble. The complement of "at least one red marble" would mean that there are no red marbles in the bag.
Which is equivalent to(6 - i)-(3 –8i)?
The expression equivalent to (6 - i) - (3 - 8i) is 3 + 7i.
What are Complex Numbers?Complex numbers are numbers which are of the form \(a+bi\) where a and b are real numbers and i is the imaginary number called iota whose value is \(i^{2}\) = -1.
The given expression is (6 - i) - (3 - 8i).
Subtraction of complex numbers are done by subtracting the real numbers and subtracting the imaginary numbers separately.
(6 - i) - (3 - 8i) = 6 - i - 3 + 8i
= (6 - 3) + (8i - i)
= 3 + 7i
Hence the resulting value of the difference of the complex numbers 6 - i and 3 - 8i is 3 + 7i.
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A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.
Answer:
| 32 - c | \(\leq\) 8
Step-by-step explanation:
c represents the cost of the medication
This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.
Answer:[x - 32] <(with line under it) 8
Step-by-step explanation:
True or false? the interval [1,2] contains exactly two numbers - the numbers 1 and 2.
The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.
How to write and represent an interval?An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.
Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).
If the interval is within a square bracket, then the end values are included in the set of values.If the interval is within parenthesis, then the end values are not included in the set of values.The square brackets represent the inequalities - 'greater than or equal or 'less than or equalThe parenthesis represents the inequalities - 'greater than' or 'less thanFinding true or false:The given interval is [1, 2]
The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'
The given statement is 'false'.
This is beacuse, an interval consists set of all the real values in between the two values given.
So, according to the definition, there are not only the end values but also many real values in between them.
Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.
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you have started your position as transportation director in a small town called mountainside village. there is only one road in and out of town. today you can expect at peak traffic to see 35 cars per hour and the drive along the road with no traffic is 1 minute. assuming poisson arrival and exponential drive times, what is the current utilization of the road? (4 points)
The current utilization of the road is 0.5833 or 58.33%. To calculate the current utilization of the road, we need to use the formula:
Utilization = Arrival rate x Drive time
Since we are assuming Poisson arrival and exponential drive times, we can use the following formulas:
Arrival rate = λ = 35 cars per hour
Drive time = 1/μ = 1/60 hours (since the drive time is 1 minute)
Therefore,
Utilization = 35 cars per hour x (1/60 hours)
Utilization = 0.5833 or 58.33%
So the current utilization of the road in Mountainside Village is 58.33%.
Hi! As the transportation director of Mountainside Village, we can calculate the current utilization of the road using the given terms. The peak traffic rate is 35 cars per hour, and the drive time without traffic is 1 minute (or 1/60 hours).
Since we're assuming Poisson arrival and exponential drive times, we can calculate the utilization (ρ) using the formula:
ρ = λ / μ
Here, λ represents the arrival rate (35 cars/hour), and μ represents the service rate, which is the inverse of the average drive time (1/60 hours).
So, μ = 1 / (1/60) = 60 cars/hour
Now, we can calculate the utilization:
ρ = 35 cars/hour / 60 cars/hour = 0.5833 (rounded to 4 decimal places)
Thus, the current utilization of the road is 0.5833 or 58.33%.
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What size is 20cm in inches?
Answer:
7.87402 C:
Step-by-step explanation:
2555!!!!!!! Pointss!!!!!!
Answer:
17
Step-by-step explanation:
The range of the data is the range between the highest and lowest data point so in this case its 132 - 115
Answer:
17
Step-by-step explanation:
CAN SOMEONE CHECK MY GEOMETRY WORK? 25 POINTS.
Picture attached. If so please tell me what I did wrong thx
Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).
After, omit step 5 and jump straight to 6.
After this, step 6 is the statement that used to be step 5, which is true by CPCTC.
Then, you can prove the required statement by definition from this.
The number of years that Zach has been on the soccer team is 2 less than 5
times the number of years that Anderson has. In total, the boys have been on
the soccer team for 10 years. How long has each boy been on the soccer team?
Answer:
Brad has been on the team for 8 years. Apply that and that means that Anderson has been on the soccer team for 2 years.
Step-by-step explanation:
I dont know how to explain lol i made an equation and figured it out
Step-by-step explanation:
let x be the number of years that Zach has been on the soccer team and y the number of years Anderson has been on the soccer team.
So, reading our problem it seems that
x=5y-2
x+y=10
replacing x on the second formula we take that 5y-2+y=10
6y-2=10
6y=12
y=2
so x=5y-2=5*2-2=10-2=8