Answer:
\( \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \)
Step-by-step explanation:
\( \because \cos2a =1 - 2 { \sin}^{2} a \\ \\ \therefore \cos2a =1 - 2 \bigg( { \frac{3}{5} }\bigg) ^{2} \\ \\\therefore \cos2a =1 - 2 \times \frac{9}{25} \\ \\\therefore \cos2a =1 - \frac{18}{25} \\ \\\therefore \cos2a = \frac{25 - 18}{25} \\ \\ \huge \purple{\therefore \cos2a} \orange{= }\red{\frac{7}{25} } \\ \\\)
Help me plz with 5, 6, 7
Answer:
C.
C.
A.
Step-by-step explanation:
elgooG
What is the measurement for b ??
The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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help me i don’t understand :(
answer all the questions if you can, but answer what you know please!
Answer:
Domain: All real values (numbers)
Range: all real values that are less than or equal to 4. \(y\leq 4\)
Zeros: x=-2 and x=2 or if you want to write it in an ordered pair, it is (-2,0) and (2,0).
Vertex: (0,4)
Min/Max: 4. or if you want to write in an ordered pair (0,4). In this case, it is a maximum value.
Axis of symmetry: x=0
y-intercept: (0,4)
Step-by-step explanation:
I hope this helps!
How can you determine the distance between any two points on an axis
by using their distances from the origin?
DUE
NOW ⚠️
Answer:
d=√((x_2-x_1)²+(y_2-y_1)²)
Step-by-step explanation:
which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points
what is the answer please help
The value of finance charge for this loan is, $1205.5.
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Solomon is taking out loan ( Principal P) = 18,320
Time of loan taken (T) = 2 year
Loan with an APR ( R ) = 3.29%
To find Finance charge for this loan ( I ) we can used the formula,
⇒ I = PRT/100
⇒ I = 18,320 × 3.29 × 2 / 100
⇒ I = $1205.5
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A five pound bag of sugar costs $6.00 How much does a 15 pound bag cost?
Answer:
$90.00
Step-by-step explanation:
Answer:
$18.
Step-by-step explanation:
To find the solution, multiply the cost of the 5 pound bag by how many pounds the bag is. ($6*5=18) The quotient is your solution.
A concert is attended by2500 people.If 47% are adult females and 32% are adults males,how many children attended?
Answer:
use division
Step-by-step explanation:
Answer:
525
Step-by-step explanation:
first we need to work out the percentage of the children who attended to to do this we need to add 47% with 32% which is 79%. Then you need to take away 79% from 100% which is 21%. After that you now know that 21% is the children who attended but you wanted to know how many children so to work this out you would find 21% of 2500 which would give you 525.
i hope this helps
Super simple question will mark brainliest please help ASAP! Which equation has infinitely many solutions?
A. 3/4 x + x- 5 = 10 + 2x
B. 3x- 2.7= 2x + 2.7 +x
C. 9x + 4.5 - 2 x= 2.3 + 7x + 2.2
D. 1/5x -7= 3/4 + 2x- 25 3/4
Your help is greatly appreciated :)!
Answer: The answer is C) 9x + 4.5 - 2 x= 2.3 + 7x + 2.2.
Explanation: The explanation is in the image.
Expand & simplify
6(3x+3)−3(4x−2)
6(3+3)−3(4−2)
Distribute
|
18+18−3(4−2)
Distribute
|
18+18−12+6
Add the Numbers
|
18+24−12|
Combine like Terms
|
Your Solution: 6+24
Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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I need help with algebraic fractions
Answer:
\(\frac{4x(x+1)}{2(x^2-1)}\)
\(\frac{4x(x+1)}{2(x-1)(x+1)}\)
\(\frac{2x}{(x-1)}\)
Step-by-step explanation:
MATH PROBLEMS 2 PLS HELPPPP HOPE NOT TO SMALL BUT TRY THE ZOOM THAT MIGHT MAKE IT MORE VISIBLE
Answer:
No Zooms
Step-by-step explanation:
A los cinco meses un bebé duplica el peso que tuvo. Al nacer pesaba 3,325 kg. ¿Cuál será su peso a los cinco meses?
según yo es 6,650 pero no me acuerdo si se sumaba de esa manera los números decimales y capaz que está re mal y no sé :(
Answer:
16,625
Step-by-step explanation:
Multiplica 3,325 por 5. Va hacer 16,625 (perdón no se tanto Español)
:D
14. 6 • _____ = 3 • ____
Answer: 143°
Step-by-step explanation:
140+146=286
360-286=74
74/2=37
vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°
A jar with 600 pieces of candy was set out at a wedding reception. After the reception, 180 pieces of candy were left in the jar. What percentage of the candy was taken?
Answer: 70%
Step-by-step explanation:
Number of pieces of candy was set out at a wedding reception = 600
Number of candy left in the jar = 180
Number of candy taken = 600 - 180 = 420
The percentage of candy taken will be:
= 420 / 600 × 100
= 70%
In 2010, the population of a city wa 212,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. How much did the population decreae from 2015 to 2020, to the nearet 100 people?
If population grew by 5% from 2010 to 2015 and fell by 3% from 2015 to 2020 , then the population decrease from 2015 to 2020 is 6678 .
Let the population of the city in 2015 be = "p".
To find the population in year "2015" , we first find the growth from 2010 to 2015 ;
⇒ p = 212000×(1 + 0.05) = 212000 × 1.05 = 222600 ;
So, the population in 2015 was 222600 .
Next, we find the population in 2020 by applying the decrease of 3%:
⇒ p = 222600×(1 - 0.03) = 222600×0.97 = 215922
So, the population in 2020 was 215922.
To , find the decrease from 2015 to 2020, we subtract the population in 2020 from the population in 2015 ;
⇒ 215922 - 222600 = -6678
Therefore , the population of the city decreased by 6678 people from 2015 to 2020.
The given question is incomplete , the complete question is
In 2010, the population of a city was 212000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 3%. How much did the population decrease from 2015 to 2020, to the nearest 100 people ?
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Given the formula S = 1/2 N (A+l) solve for n
From the given formula \(S=\frac{1}{2} N(A+I)\),
\(N=\frac{2S}{A+I}\)
Given :
Formula is \(S=\frac{1}{2} N(A+I)\)
Solve the given equation for N
Our aim is to get N alone .
\(S=\frac{1}{2} N(A+I)\\multiply \; both \; sides \; by \; 2\\2S=N(A+I)\\Divide \; both \; sides \; by \; A+I\\\frac{2S}{A+I} =N\)
So from the given formula
\(N=\frac{2S}{A+I}\)
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What is the image of the point
(
1
,
−
4
)
(1,−4) after a rotation of
18
0
∘
180
∘
counterclockwise about the origin?
Answer:
The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)
Step-by-step explanation:
Rotation means that a point is being moved in clockwise or counterclockwise direction with some angle.
The rotation can be done in 90, 180, 270 degrees.
Given point is:
(1,-4)
When a point (x,y) is rotated 180° counter clockwise its coordinates become (-x,-y) the negative of original point.
So for the given point the coordinates will become (-1,4)
Hence,
The image of point (1,-4) after a rotation of 180° counter clockwise about the origin is: (-1,4)
Find how long $200 should be left to accumulate at a 7% effective rate in order that it will amount to twice the accumulated value of $200 deposited at the same time at a 4% effective rate.
To accumulate twice the value of $200 deposited at a 4% effective rate, $200 should be left to accumulate at a 7% effective rate for approximately 19 years and 7 months.
To find the time required for $200 to accumulate to twice the value of $200 deposited at a 4% effective rate, we can use the concept of the future value of an investment. Let's denote the time in years as "t".
For the first deposit at a 4% effective rate, the future value can be calculated as:
\(FV = PV * (1 + r)^t,\)
where PV is the present value ($200), r is the interest rate (4% or 0.04), and FV is the future value.
For the second deposit at a 7% effective rate, the future value should be twice the value of the first deposit:
\(2 * (PV * (1 + r)^t) = $200 * (1 + 0.07)^t\).
By solving this equation for "t", we can determine the time required. Rearranging the equation, we get:
\(2 * (1.04)^t = (1.07)^t\).
Taking the logarithm of both sides, we have:
\(log(2) + t * log(1.04) = t * log(1.07)\).
Simplifying the equation, we find:
\(t = log(2) / (log(1.07) - log(1.04))\).
Evaluating this expression, we find that t is approximately 19.58 years or 19 years and 7 months. Therefore, $200 should be left to accumulate at a 7% effective rate for approximately 19 years and 7 months to reach twice the accumulated value of $200 at a 4% effective rate.
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Graph this system of equations on the coordinate plane: Use the Mark Feature tool to indicate the solution to the system on the graph. Drawing Tools Click on a tool to begin drawing.
drow application the way
Superman begins flying at a constant rate of 100 miles per hour. After one mile he increases his flying rate by 20% and maintains the new rate for the duration of the second mile. He continues this pattern, increasing his rate by 20% at the beginning of each mile. During which mile does his rate first become at least 200 miles per hour
Superman begins flying at a constant rate of 100 miles per hour. After one mile he increases his flying rate by 20% and maintains the new rate for the duration of the second mile.
Increasing his rate by 20% at the beginning of each mile. During which mile does his rate first become at least 200 miles per hour?
The rate of Superman when he begins to fly is constant. He starts at 100 mph, and for every mile he flies, he increases his speed by 20%.
In the first mile, his speed would remain at 100 miles per hour.
In the second mile, he will be able to fly at a speed of 120 miles per hour.
Let's make a table for better understanding:
Mile Rate (in mph) | 1 | 100 | 2 | 120 | 3 | 144 | 4 | 172.8 | 5 | 207.36 |
Hence, the rate of Superman becomes at least 200 miles per hour in mile number 5.
Answer: 5
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Sam paid $55 for an hour of tutoring on Mondays and $95 for two hours on Tuesday. The hourly rate is $ per hour.The initial fee is $ .
To find the hourly rate, we can subtract the cost of two hours by the cost of one hour:
\(m=95-55=40\)So the hourly rate is $40.
Then, to find the initial fee, we subtract the cost of one hour by the hourly rate:
\(b=55-40=15\)So the initial fee is $15.
Find the absolute value. What is 1/4
Answer:
0.25
Step-by-step explanation:
:)
Answer: the absolute value of 1/4 is 1
Step-by-step explanation:
1/3 of x is 14
Find x
Plz help
Answer:
\( \frac{1}{3} \times x = 14 \\ \\ x = 14 \times 3 \\ \\ { \underline{ \: \: x = 42 \: \: }}\)
The value of x in 1/3 of x is 14 will be 42.
Given,
1/3 of x is 14
Now,
Expression : 1/3 of x is 14
Rewriting the expression in the simplified form,
1/3 of x = 14
Now to get the value of x cross multiply,
x = 14 * 3
x = 42
The value of x is 42.
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Which of the following is the solution to 3 | x-1 | > 12?
A. x≤-3 or x >5
B. x > -3 or x > 5
C. x < -3 and x > 5
D. X > 5
Answer:
7
Step-by-step explanation:
8-9-6
For which inequality is .r = 5 a solution?
А х<2
в. х> 9
ОО
) с. х< 18
OD. x> 42
Answer:
The answer is C x<18 indirectly saying 5<18 the other options has no match for it
use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem in example 2.
Using the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi 5x3> 15 to the problem. The final solution is:
xi = 20
x2 = 0
x3 = 15
x4 = 0
x5 = 40
Adding the constraint 3xi + 5x3 > 15 does not affect the optimal solution, as none of the variables involved in the new constraint are in the basis. Therefore, the final solution remains the same.
To use the dual simplex method to find a solution to the linear programming problem formed by adding the constraint 3xi + 5x3 > 15 to the problem in example 2, we need to follow these steps:
1. Rewrite the problem in standard form by adding slack variables:
Maximize 4xi + 3x2 + 5x3
Subject to:
2xi + 3x2 + 4x3 + x4 = 60
3xi + 2x2 + x3 + x5 = 40
xi, x2, x3, x4, x5 >= 0
2. Calculate the initial feasible solution by setting all slack variables to 0:
xi = 0
x2 = 0
x3 = 0
x4 = 60
x5 = 40
3. Calculate the reduced costs of the variables:
c1 = 4 - 2/3x4 - 3/2x5
c2 = 3
c3 = 5 - 2/3x4 - 1/2x5
c4 = -2/3x1 - 1/2x2
c5 = -3/2x1 - 1/2x2
4. Choose the entering variable with the most negative reduced cost. In this case, it is x1.
5. Calculate the minimum ratio test for each constraint to determine the leaving variable:
For the first constraint: x4/2 = 30, x1/2 = 0, so x4 is the leaving variable.
For the second constraint: x5/3 = 40/3, x1/3 = 0, so x5 is the leaving variable.
6. Update the solution by performing the pivot operation:
- Pivot on x1 and x4 in the first constraint: x1 = 20, x4 = 0, x2 = 0, x3 = 15, x5 = 40/3
- Pivot on x1 and x5 in the second constraint: x1 = 0, x4 = 0, x2 = 0, x3 = 15, x5 = 40
7. Repeat steps 3-6 until all reduced costs are non-negative or all minimum ratio tests are negative.
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A 11-foot ladder is leaning against a building, with the base of the ladder 3 feet from the building. How high up on the building will the top of the ladder reach?
Answer:
10.58 feet
Step-by-step explanation:
Use the Pythagorean theorem where 11 is the hypotenuse and 3 is a leg
a^2+b^2=c^2
3^2+b^2=11^2
9+b^2=121
b^2=112
b=10.58 feet
What equations should I use or how should i find the correct
answer for the incorrect boxes diplayed?
Jake's Gems mines and produces diamonds, rubies, and other gems. The gems are produced by way of the Mining and Cutting activitios. These production activities are supported by the Maintenance and 5 e
To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:
Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).
Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:
Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).
Maintenance = M (maintenance effort required).
The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.
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