Answer:
sure
Step-by-step explanation:
write the simpliest form 12/15 in its simpliest form
Answer:
12/15 in simpliest form is 4/5
Step-by-step explanation:
12 / 3 = 4
15 / 3 = 5
Remember that to get or to make a fraction in simpliest forms you need to divide both numerator and denominator by the same number.
12/15 is equal to 4/5.
Hope this helps!!! ;)
He science club has 4 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get
Answer:
b / 4
Step-by-step explanation:
If you are splitting b bumper stickers between 4 members, you must divide the number of bumper stickers by the number of members, which is 4! Dividing is just like if you were to divvy something up between people, but it is a mathematical term! This will give you b / 4.
Solve : 24 = 6 - 6 = 2 + (
3 x 7)
Answer:
3.5
Step-by-step explanation:
24=0=2×3×2×7
24=6×14=0
24=84 =0
24÷84=3.5
Which expression represents the product of 3 and (5/4n+1.8)(5/4+1.8) ?
An expression represents the product of 3 and ((5/4)n+1.8) is 3.75n + 5.4
The correct answer is an option (D)
Consider the expression ((5/4)n + 1.8)
First we write the fraction 5/4 in the decimal form.
5/4 = 1.25
So, the expression ((5/4)n + 1.8) becomes,
((5/4)n + 1.8)
= (1.25 n + 1.8) ..........(1)
Now consider the product of 3 and ((5/4)n + 1.8)
3 × ((5/4)n + 1.8)
= 3 × ((1.25)n + 1.8) ............(from statement (1))
= (3 × (1.25 n)) + (3 × 1.8)
= (3 × 1.25)n + 5.4
= 3.75n + 5.4
Thus, 3 × ((5/4)n + 1.8) = 3.75n + 5.4
The correct answer is an option (D)
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Which expression represents the product of 3 and (5/4n + 1.8)? (SHOW WORK PLEASE)
A) 5.55n
B) 9.15n
C) 3.75n + 1.8
D) 3.75n + 5.4
Factor 4x^2-9a^4. And check whether it is factorable. The answer options:( 2x-3a^2)^2 or prime or ( 2x +3a^2) (2x - 3a^2 ) or none of these
Given
\(4x^2-9a^4\)To factorize.
Explanation:
It is given that,
\(4x^2-9a^4\)That implies,
\(\begin{gathered} 4x^2-9a^4=(2x)^2-(3a^2)^2 \\ =(2x-3a^2)(2x+3a^2) \end{gathered}\)Hence, the answer is (2x +3a²)(2x - 3a²).
your outlook on the increasing spread of epidmics
Answer:
increasing spread epidemics your outlook
Cos theta = x/rTan theta = y/xWhat is the angle of view of a sniper who is on top of a building that is 20 meters high and has a slope of 20 meters?
Now we can use the formula for cos (theta) to find the angle of view:
cos(theta) = adjacent/hypotenuse = 20/28.28
theta = cos^-1(20/28.28) = 45 degrees
So the angle of view of the sniper is 45 degrees.
To find the angle of view for the sniper on top of a building, we can use the trigonometric functions you provided. In this case, we know the height of the building (20 meters) and the horizontal distance (also 20 meters).
Let's denote the height as 'y' and the horizontal distance as 'x'. Given the information, y = 20 meters and x = 20 meters.
We can use the tangent function (tan theta) to find the angle:
Tan theta = y/x
Tan theta = 20/20 = 1
Now, we need to find the angle (theta) by taking the inverse tangent (arctan) of the result:
theta = arctan(1)
Using a calculator or conversion table, we find that:
cos(theta) = adjacent/hypotenuse = 20/28.28
theta = cos^-1(20/28.28) = 45 degrees
theta ≈ 45°
So, the angle of view for the sniper on top of the 20-meter high building with a 20-meter slope is approximately 45 degrees.
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PLEASE HELP!!
Fill in the blank. In the triangle below, x =_____. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using Trigonometry: SOH CAH TOA,
tan (47°) = x/35Cross multiplying:
x = tan (47°) × 35
= 37.5329
= 37.53 to two decimal places
Mila buys 1112 pound of almonds and 56 pound of pecans.
Step-by-step explanation:
I want you to fart in your hand and eat it like a sandwich
A bike wheel has a 16-inch diameter. Approximately how far will the wheel travel in three rotations? Use 3.14
for π
Answer:
151 inches
Step-by-step explanation:
7th Grade
A football player practices for 3 hours a day. This accounts for %25 of the time he is at school. How many hours is he at school?
If you want can you type or show how you got your answer.
Please help, Thank you.
an n × n matrix that is orthogonally diagonalizable must be symmetric. true or false?
False. An n × n matrix that is orthogonally diagonalizable does not necessarily have to be symmetric. A matrix is said to be orthogonally diagonalizable if it can be expressed as PDP^T, where P is an orthogonal matrix and D is a diagonal matrix.
For a matrix to be symmetric, it must satisfy the condition A = A^T, where A^T denotes the transpose of A. While it is true that symmetric matrices are always orthogonally diagonalizable, the converse is not necessarily true. There exist non-symmetric matrices that can still be orthogonally diagonalized. An example of such a matrix is the following:
[1 2]
A = [3 4]
This matrix is not symmetric, as A^T is:
[1 3]
A^T = [2 4]
However, it is still orthogonally diagonalizable. The matrix A can be diagonalized as:
A = PDP^T, where P = [0.8507 -0.5257]
[0.5257 0.8507]
and D = [-0.3723 0 ]
[ 0 5.3723]
Therefore, it is not necessary for an n × n matrix that is orthogonally diagonalizable to be symmetric.
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On March 1 a commodity's spot price is $60 and its August futures price is $59. On July 1 the spot price is $64 and the
August futures price is $63. 50. A company entered into futures contracts on March 1 to hedge its purchase of the
commodity on July 1. It closed out its position on July 1. What is the effective price (after taking account of hedging) paid
by the company?
The effective price paid by the company after taking account of hedging would be $63.50, which is the August futures price on July 1. Calculate the profit or loss on the futures contracts and subtract that from the spot price on July 1, to determine the effective.
By entering into futures contracts on March 1, the company was able to lock in the price of $59 for the commodity, when the spot price was $60 and the futures price was $59, the difference between the futures price and the spot price on March 1 was $1 ($60 - $59), so the company had to pay an extra $1 per unit to hedge its purchase.
When the spot price increased to $64 on July 1, the company was still able to purchase the commodity at the lower hedged price of $59, plus the cost of the futures contract, which resulted in an effective price of $63.50. Overall, hedging helped the company mitigate the risk of price volatility and ensured a more predictable cost for the commodity purchase.
Effective price = Spot price - Profit from futures contracts
Effective price = $64 - $0.50(The difference between the futures price and the spot price on July 1 was $0.50 ($64 - $63.50))
Effective price = $63.50 per unit
Therefore, the effective price paid by the company after taking into account hedging was $63.50 per unit.
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What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your
answer to the nearest thousandth.
Answer:
87.965
Step-by-step explanation:
surface area of a cylinder,
2πr²+2πrh (where r = radius, h = height)
given, h = 5, r = 2
so,
2πr²+2πrh
= 2π×2²+2π×2×5
= 8π+20π
= 28π
= 87.9645943..
= 87.965 (rounded to the nearest thousand)
Solve the inequality: \(-\frac{2}{5} (x-3)\geq 1-x\) please show work and explain each key part of the equation solution
Answer:
Step-by-step explanation:
\(\frac{-2}{5}(x-3)\geq 1-x\\\frac{-2x}{5} + \frac{6}{5} \geq 1-x\\\)
Multiply x5
-2x + 6 ≥ 5 - 5x / + 5x - 6
3x ≥ -1
x ≥ -1/3
Your company obtained a standard reference material for avobenzone from the FDA that contains 0.250mg avobenzone per gram sunscreen. Your working group is creating a new method for detecting avobenzone in sunscreen. You analyze the standard and find it contains 0.256,0.279,0.328,0.305,0.312 and 0.230ug/g of avobenzone. You need to present your findings to your supervisor. Is your new method valid/accurate for the detection of avobenzone in sunscreen at a 95\% confidence level? (show all of your work)
Yes, the new method for detecting avobenzone in sunscreen is valid/accurate at a 95% confidence level.
The standard reference material provided by the FDA contains 0.250 mg of avobenzone per gram of sunscreen. The working group analyzed the standard and obtained measurements of avobenzone content in six samples, which were found to be 0.256, 0.279, 0.328, 0.305, 0.312, and 0.230 µg/g.
To determine the validity and accuracy of the new detection method, we need to assess if the measurements obtained from the samples are within an acceptable range of the known avobenzone content provided by the standard.
At a 95% confidence level, we can calculate a confidence interval to evaluate the accuracy of the new method. The confidence interval is a range within which we can reasonably expect the true avobenzone content of the sunscreen samples to fall. If the known avobenzone content provided by the standard falls within this confidence interval, it indicates that the new method is valid and accurate.
By performing the necessary calculations, we can determine the confidence interval. Comparing the range of the measurements obtained from the samples (0.230 to 0.328 µg/g) with the known avobenzone content provided by the standard (0.250 mg/g), we find that the measurements overlap with the known value. Therefore, we can conclude that the new method is valid/accurate for the detection of avobenzone in sunscreen at a 95% confidence level.
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simplify 3^3 - 2x(5x-5) + √25
Leona was in a golf tournament last week. All of her rounds of gold were within 2 strokes of par. If par was 72, what are the maximum and minimum scores that Leona could have made in the gold tournament
Answer:
Maximum: 74
Minimum: 70
Step-by-step explanation:
l s - 72 l = 2
s - 72 = 2
s = 74
s - 72 = -2
s = 70
The maximum score will be 74 and the minimum score will be 70.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Leona was in a golf tournament last week. All of her rounds of gold were within 2 strokes of par and par was 72.
The value of the maximum and minimum scores will be calculated as below:-
Maximum score:-
l s - 72 l = 2
s - 72 = 2
s = 74
Minimum score:-
s - 72 = -2
s = 70
Therefore, the maximum score will be 74 and the minimum score will be 70.
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please help !!!!!!
MULTIPLY (3x + 4)(4x + 5)
Answer:
B. 12x^2 + 31x + 20
Step-by-step explanation:
Use FOIL (First, Outer, Inner, Last)
(3x + 4)(4x + 5)
12x^2 + 15x +16x + 20
12x^2 + 31x + 20
Answer:
B
Step-by-step explanation:
You are going to want to use the FOIL method. First outer inner last. Multiply 3x*4x to get 12x^2 then multiply 3x*5 to get 15x then multiply 4*4x to get 16x and last multiply 4*5 to get 20. Since 15x and 16x are like terms we add them together to get 31x
a²b-b² if a and=b-7
Lola's glass holds 50 milliliters of milk. Sam's glass holds 3/5 as much milk. How many milliliters of milk does Sam's glass hold?
Answer:To find out how many milliliters of milk Sam's glass holds, we need to calculate 3/5 of Lola's glass capacity.
Step 1: Calculate 3/5 of 50 milliliters.
3/5 * 50 = (3 * 50) / 5 = 150 / 5 = 30
Therefore, Sam's glass holds 30 milliliters of milk.
Step-by-step explanation:
A grinding process has an upper specification of 1.649 inches and a lower specification of 1.507 inches. A sample of parts had a mean of 1.57 inches with a standard deviaiton of 0.026 inches.
Round your answer to four decimal places.
What is the process capability index for this system?
Answer:
The process capability index for this system is 0.9103
Step-by-step explanation:
Upper specification = 1.649 inches
Lowe Specification = 1.507 inches
Mean = 1.57 inches
Standard Deviation = 0.026 inches
Process Capability Index = PCI
PCI = (Upper specification - lower specification)/6(standard deviation)
So, we get,
PCI = (1.649 - 1.507)/((6)(0.026))
PCI = 0.142/0.156
PCI = 0.9102564
To four decimal places, we get,
PCI = 0.9103
Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2
Given:
\(a_1=-4\) and \(a_n=a_{n-1}+9\) where \(n\geq 2\).
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
\(a_n=a_{n-1}+d\)
Where, d is the common difference.
We have,
\(a_n=a_{n-1}+9\)
Here, d=9.
The first term of the AP is \(a_1=-4\).
The explicit formula for an AP is:
\(a_n=a_1+(n-1)d\)
Substituting \(a_1=-4\) and \(d=9\), we get
\(a_n=-4+(n-1)9\)
\(a_n=-4+9n-9\)
\(a_n=-13+9n\)
Therefore, the required explicit formula for the given sequence is \(a_n=-13+9n\).
Harris Fabrics computes its plantwide predetermined overhead rate annually on the basis of direct labor-hours. At the beginning of the year, it estimated that 38,000 direct labor-hours would be required for the period’s estimated level of production. The company also estimated $558,000 of fixed manufacturing overhead cost for the coming period and variable manufacturing overhead of $3.00 per direct labor-hour. Harris’s actual manufacturing overhead cost for the year was $773,491 and its actual total direct labor was 44,500 hours.
-$14,469 is the Overapplied Manufacturing Overhead. We can calculate it in the following manner.
To calculate the plantwide predetermined overhead rate, we need to divide the total estimated manufacturing overhead costs by the estimated total direct labor-hours:
Plantwide Predetermined Overhead Rate = (Estimated Fixed Manufacturing Overhead + Estimated Variable Manufacturing Overhead) / Estimated Total Direct Labor-Hours
Plantwide Predetermined Overhead Rate = ($558,000 + ($3.00 per direct labor-hour x 38,000 direct labor-hours)) / 38,000 direct labor-hours
Plantwide Predetermined Overhead Rate = $672,000 / 38,000 direct labor-hours
Plantwide Predetermined Overhead Rate = $17.68 per direct labor-hour
To calculate the total manufacturing overhead cost applied to production, we multiply the actual direct labor-hours by the plantwide predetermined overhead rate:
Total Manufacturing Overhead Applied = Actual Direct Labor-Hours x Plantwide Predetermined Overhead Rate
Total Manufacturing Overhead Applied = 44,500 direct labor-hours x $17.68 per direct labor-hour
Total Manufacturing Overhead Applied = $787,960
To calculate the under- or overapplied manufacturing overhead, we subtract the total manufacturing overhead applied from the actual manufacturing overhead costs:
Under- or Overapplied Manufacturing Overhead = Actual Manufacturing Overhead Costs - Total Manufacturing Overhead Applied
Under- or Overapplied Manufacturing Overhead = $773,491 - $787,960
Under- or Overapplied Manufacturing Overhead = -$14,469
The negative amount indicates that the actual manufacturing overhead costs were higher than the amount applied to production.
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At a construction job for a gallery there are 33 painters. Of these painters, 21 of them
are painting the interior of the gallery. What percent of these painters are painting the
interior? Round your answer to the nearest tenth if necessary.
Answer:
63.6%
Step-by-step explanation:
21 out of 33 is what we are working with here. Divide.
21/33
= 0.636363...
Times by 100 to change from a decimal to a percent (you know "per cent" means "per hundred")
= 63.636363...
Round to the nearest tenth as per the instructions.
= 63.6%
7.74% of 789.13
Give your answer rounded to 2 DP.
Given :
A number 789.13 .
To Find :
7.74% of 789.13 .
Solution :
Let, 7.74% of 789.13 is x.
So,
\(x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08\)
Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .
PLZ HELP ME!!!!! NO LINKS!!!!!!!!!!
Answer:
unfortunately, I couldn't give you the answer because I can't see all of the number values provided in this problem, but hopefully with the explanation you'll be able to solve it : )
Step-by-step explanation:
1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4. Find the sum of the absolute values of the differences.
5. Divide the sum of the absolute values of the differences by the number of data values.
Sketch the graph of the system and find the solution
{2x + 3y = 12
{ y= -1/3 x + 3
(show work)
PLEASE HELP LIMITED TIME
Find the surface area of a cone whose slant is 6 ft and has a base with a diameter of 4ft. Round your answer to the nearest tenth. (Do NOT type inanyanswer.)
The diameter of the base of the cone = 4 ft
The radius of the base of the cone, r = 4/2 = 2 ft
Slant height, l = 6ft
\(\text{ Surface area of a cone = }\pi r^2+\pi rl\)Where r = radius of the base, l = slant height
\(\begin{gathered} \text{surface area of the cone = (3.14 x 2 x 2) + (3.14 x }2\text{ x 6)} \\ =\text{ 12.56 + 37.68} \\ =50.24ft^2\text{ }\approx50.2ft^2\text{ (nearest tenth)} \\ \text{The surface area of the cone is 50.2ft}^2\text{ ( to the nearest tenth)} \end{gathered}\)a particle's motion is described by parametric equations x(t) and y(t) for t ≥ 0 such that
dx/dt = -1/t dan dy/dt = 2/t^2.
if at t = 2 the particle is at (1,-2), which of the following represents the equation of the tangent line to the path of the particle at that time?
a. y = -x - 1
b. y = x - 3
c. y = -x + 1
d. y = x - 1
The equation of the tangent line to the path of the particle at t = 2 is (option) b. y = x - 3.
To find the equation of the tangent line at t = 2, we need to find the values of x(2) and y(2) and the slopes of the tangent line. From the given parametric equations, we have:
x(t) = -ln(t) + C1
y(t) = -2/t + C2
where C1 and C2 are constants of integration. To find C1 and C2, we use the initial conditions x(2) = 1 and y(2) = -2:
1 = -ln(2) + C1
-2 = -2/2 + C2
C1 = 1 + ln(2)
C2 = -1
Differentiating x(t) and y(t) with respect to t, we get:
dx/dt = -1/t
dy/dt = 4/t^3
At t = 2, we have dx/dt = -1/2 and dy/dt = 1/4. The slope of the tangent line is given by dy/dx, which is:
dy/dx = (dy/dt)/(dx/dt) = (-1/4)/(-1/2) = 1/2
Therefore, the equation of the tangent line at t = 2 is:
y - (-2) = (1/2)(x - 1)
y = x - 3
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