5,000 x 300,000 +50 -300 +4,200 x 2 - 5 x 255 =
Answer:
1500006875
Step-by-step explanation:
Multiply 2 numbers at a time
Choose the correct answer below
The correct statement is;
False, because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be x = 2π/3 + 2nx and x = 4π/3 + 2nx.
Option D
How to determine the statementFrom the information given, we have that;
All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx
There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx
Such that n is an integer.
This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.
The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.
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using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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The area of a trapezoid is 34 in2. What is the new area of the trapezoid if the height were doubled and the bases decreased by one-fourth?
(help pls!!)
The new area of the trapezoid, whereby the initial height is doubled, and the length of the bases is decreased by one-fourth is 51 in². Therefore;
A = 51 in²
We have,
The formula for finding the area of a trapezoid can be presented as follows;
A = ((a + b)/2) × h
Where;
a and b are the lengths of the parallel sides
h = The height of the trapezoid
Therefore, we get;
A = ((a + b)/2) × h = 34 in²
When the height is doubled, we get;
The new height = 2·h
When the bases are decreased by one-fourth, we get;
The new sum of the bases = (a + b) × (1 - 1/4) = (a + b) × (3/4)
The new area of the trapezoid, A', is therefore;
A = ((a + b)/2) × h
A' = ((a + b) × (3/4)/2) × 2·h = (3/4) × 2 × ((a + b)/2) × h = 1.5 × ((a + b)/2) × h, which indicates;
A' = 1.5 × A
A' = 1.5 × 34 = 51
The new area of the trapezoid is about 51 square inches
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complete question:
The area of a trapezoid is 34 in2. What is the new area of the trapezoid if the height were doubled and the bases decreased by one-fourth?
What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
O 4
O 8
O 16
O 64
Answer:
the answer is 16
Step-by-step explanation:
i hope i helped you but next time study well :)
If the solutions of f(x)=0 are -1 and 2
then find the solutions of f(x/2)=0
Answer: -2 and 4
Step-by-step explanation:
Let \(t=x/2\).
\(f(t)=0 \longrightarrow t=-1, 2\\\\\therefore x=-2, 4\)
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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What is the slope of the line y = 3?
Answer:
slope = 0
Step-by-step explanation:
A player hits the ball 30% of the time. If he gets 450 chances what is the total number of times he will hit the ball
Answer:
135
Step-by-step explanation:
100% = 450
1% = 4.5
30% = 4.5 x 30 = 135
i need help please!!!
Answer:
B
E
EXPLAIN:
A is incorrect
B is correct
C is incorrect
D is incorrect
E is correct
F is incorrect
Answer: B, E
Step-by-step explanation:
find sin^2a-cos^2a, where cosa+Sina=1/2, 0<a<2π
Answer:
We know that:
sin^2a + cos^2a = 1 (1)
Also, we have:
cos a + sin a = 1/2
Squaring both sides of the above equation, we get:
cos^2a + 2cos a sin a + sin^2a = 1/4
Using equation (1), we can simplify this to:
1 + 2cos a sin a = 1/4
Subtracting 1 from both sides, we get:
2cos a sin a = -3/4
Squaring both sides, we get:
4cos^2a sin^2a = 9/16
Using the identity:
sin^2a = 1 - cos^2a
We can rewrite the above equation as:
4cos^2a (1 - cos^2a) = 9/16
Expanding and rearranging, we get:
4cos^4a - 4cos^2a + 9/16 = 0
Multiplying both sides by 16, we get:
64cos^4a - 64cos^2a + 9 = 0
Letting x = cos^2a, we can rewrite this as a quadratic equation:
64x^2 - 64x + 9 = 0
Solving for x using the quadratic formula, we get:
x = (64 ± √16384)/128
x = 1/2 or x = 9/64
Since 0 < a < 2π, we know that cos a is positive, so we can take the positive square root:
cos a = √(1/2) = 1/√2
Substituting this into the equation sin a + cos a = 1/2, we get:
sin a = 1/2 - cos a = 1/2 - 1/√2 = (√2 - 1)/2
Therefore:
sin^2a - cos^2a = ((√2 - 1)/2)^2 - (1/√2)^2
= (3 - 2√2)/4
Therefore, sin^2a - cos^2a = (3 - 2√2)/4.
13-22 super easy help please wee thank you!
the answer to the equation is -9
- 1/2 x ( - 1/8 ) - 3/4
-11/16
(Decimal: -0.6875)
round 1456 to nearest 10
Answer:
1460
Step-by-step explanation:
rounding to the nearest ten, that is nearest to 1456 which would be 1460 (hope this helps! ) ♡
Answer:
1460
Step-by-step explanation:
Original number is 1 4 5 6
To round to the nearest ten, look at the digit in the 10's place and the digit immediately to the right of it
The digit in the tens place is 5
If the digit to the immediate right of this digit is 5 or greater, round the digit in the tens place up by one digit and set the immediate right digit to 0
So 5 rounds up to 6
The 6 to the immediate right(units place becomes 0)
1 4 5 6 rounded to nearest ten==> 1 4 6 0
100 points
help asap
Step-by-step explanation:
cars= 8, 24
trucks= 20
total ($)=
pounds=5
calories=
Answers and Step-by-step explanations:
(Answers are all bold-ed and underlined.)
For these problems, they are asking you to fill in the blanks by noticing and by trying to find a pattern. In order to determine what the values are, this will require multiplication and division.
Table 1:
For the cars side, we can notice that that side of the table is going by 4's. Because 4, 12 and 16 are all multiples of 4. So, let's fill in this side.
Cars:
4
8
12
16
20
And, if we look at the trucks side, we can also notice a pattern of 5's. The numbers 5, 10, 15, and 25 are all multiples of 5. Now we can fill in the trucks side.
Trucks:
5
10
15
20
25
We can notice a pattern that both sides of the equation are being multiplied by 1, 2, 3, and so on (4x1=4, 4x2=8, 4x3=12...).
Table 2:
This table requires a little bit more work. We are going to need to do division for this problem. First, let's pick a value on the "Total ($)" side. From there, we can then take the "Pounds" side and use that to find the rest of the answers. Because 1.50 is the number below the first column, it will be the easiest to use to find what goes in that first column. And because we are using this column, we also have to use the "Pounds" side as well. So our equation will look something like this:
1.50 ÷ 2 = 0.75
So we can now place this in the first column. We can now use this to fill out the rest of the table. Because 0.75 x 2 = 1.50, then we can conclude that those pounds represent what we are multiplying the 0.75 by.
Total ($):
0.75
1.50
2.25
3.00
6.00
For the pounds side all we have to do is divide the Total ($) sides by the 0.75 to get our answer.
Pounds:
1
2
3
4
8
Table 3:
This table shouldn't be very hard since it already gives us the first value. All we do is just multiply the cookies by the calories to get our answers for the Calories side.
Second column: 35 x 2 = 70, and so onto the rest of the columns.
Calories:
35
70
140
280
350
____________________________________
I hope that this helps.
What is the value of the expression below when a is 3, b is 25, and c is 5?
Answer:
32
Step-by-step explanation:
Looking up, John sees two hot air balloons in the sky as shown. He determines that the lower hot air balloon is 365 meters away, at an angle of 23° from the vertical. The higher hot air balloon is 1035 meters away, at an angle of 41° from the vertical. How much higher is the balloon on the right than the balloon on the left?
The height of the higher balloon from the lower balloon will be 330.745 meters.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
He determines that the lower hot air balloon is 365 meters away, at an angle of 23° from the vertical. Then the vertical height of the lower hot air balloon is given as,
tan 23° = 365 / h
h = 859.886 meters
The higher hot air balloon is 1035 meters away, at an angle of 41° from the vertical. Then the vertical height of the higher hot air balloon is given as,
tan 41° = 1035 / H
H = 1190.631 meters
The height of the higher balloon from the lower balloon is given as,
⇒ H - h
⇒ 1190.631 - 859.886
⇒ 330.745 meters
The height of the higher balloon from the lower balloon will be 330.745 meters.
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For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.
Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.
Answer:
The margin of error is \(E = 6.9 \)
The 95% confidence interval is \( 26.5 < \mu < 40.3 \)
Step-by-step explanation:
From the question we are told that
The sample size is n = 31
The mean is \(\mu = 33.4 \ ng/ml\)
The standard deviation is \(\sigma = 19.6 \ ng/ml\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)
=> \(E = 1.96 * \frac{19.6 }{\sqrt{31 } }\)
=> \(E = 6.9 \)
Generally 95% confidence interval is mathematically represented as
\(\= x -E < \mu < \=x +E\)
=> \( 33.4 - 6.9 < \mu < 33.4 + 6.9 \)
=> \( 26.5 < \mu < 40.3 \)
A net of arectangular pyramidis shown. Therectangular base haslength 24 cm andwidth 21 cm. Thenet of the pyramidhas length 69.2 cmand width 64.6 cm.Find the surfacearea of the pyramid.
Solution
The Image will be of help
To find x
\(\begin{gathered} x+24+x=69.2 \\ 2x+24=69.2 \\ 2x=69.2-24 \\ 2x=45.2 \\ x=\frac{45.2}{2} \\ x=22.6 \end{gathered}\)To find y
\(\begin{gathered} y+21+y=64.6 \\ 2y+21=64.6 \\ 2y=64.6-21 \\ 2y=43.6 \\ y=\frac{43.6}{2} \\ y=21.8 \end{gathered}\)The diagram below will help us to find the Surface Area of the Pyramid
The surface area is
\(SurfaceArea=A_1+2A_2+2A_3\)To find A1
\(A_1=24\times21=504\)To find A2
\(\begin{gathered} A_2=\frac{1}{2}b\times h \\ 2A_2=b\times h \\ 2A_2=21\times22.6 \\ 2A_2=474.6 \end{gathered}\)To find A3
\(\begin{gathered} A_3=\frac{1}{2}bh \\ 2A_3=b\times h \\ 2A_3=24\times21.8 \\ 2A_3=523.2 \end{gathered}\)The surface Area
\(\begin{gathered} SurfaceArea=A_1+2A_2+2A_3 \\ SurfaceArea=504+474.6+523.2 \\ SurfaceArea=1501.8cm^2 \end{gathered}\)Thus,
\(SurfaceArea=1501.8cm^2\)PLEASE HELP IM SO LOST
Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2
Step-by-step explanation:
You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about
for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'
in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)
as such the line x = 4 will cut the function f(x) in 'half'
In Algebra a dot [ • ] is the symbol for multiplication (e.g., 9 • 7) , because X is used as a variable letter, which represents a number
(e.g., X + 2 = 10, when X=8).
(a) True
(b) False
Answer: (a) True
Step-by-step explanation:
4. Create your own scenario for the variable expression below. Then, suggest values for the variables and solve. 14x + 12y
Answer:
Cost of pencil = $20
Cost of copy = $6
Step-by-step explanation:
Statement.
Gill buys 14 copy and 12 pencils and pays a total $324, if the value of 1 copy and 1 pencil is $26, find cost of copy and pencil.
Computation:
Assume.
Cost of copy = x
Cost of pencil = y
So,
x + y = 26.......Eq1
And
14x + 12y = 324.........Eq2
From Eq1 ad Eq2
Cost of pencil = $20
So,
Cost of copy = $6
Niall and Zayn buy 14 concert tickets for them and their friends to go see 5sos and 12 concert tickets for them and their friends to go see Little Mix with a total cost of $648. If the value of 1 5sos ticket and 1 Little Mix ticket is $52, and the Little Mix ticket is $4 more than the 5sos ticket, find cost of both tickets.
5sos = x
Little Mix = y
52 / 2 = 26
26 - 2 = 24
26 + 2 = 26
x = 24
y = 28
5sos tickets = $24 each
Little Mix tickets = $26 each
What is the solution if you multiply this block by 6?
HH1
H
0 5
4
1
- 10
-5
10
Answer:
-5
Step-by-step explanation:
Yan po sagut
Sana makatulong
HELP PLEASEEE !!! 50 POINTS
Answer:
haha
Step-by-step explanation:
first off thats not 50 points
Answer:
Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8
just keep doing the process of dividing y over x
the second 1 would be 0/3 which is 0
just keep doing this process
vector W has its initial point at (2,5) and its terminal point at (-4,-2)
For the given points, vector in component form equals -6i^ - 7j^ and its magnitude is 9.22
What is meant by vector?A quantity or phenomena with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
Examples of vectors include displacement, velocity, acceleration, force, and others that show both the direction and the size of a quantity. Vector: The displacement is -4 feet, while the velocity is -40 miles per hour. Negative displacement and velocity indicate that the object is travelling counterclockwise.
Vector in component form -
(-4 -2)i^ + (-2-5)j^
= -6i^ - 7j^
Magnitude of the vector equals =
√(-6)² + (-7)² = √85 = 9.22
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Complete Question -
Vector w has its initial point at (2, 5) and its terminal point at (-4, -2). Write the vector in component form and find its magnitude.
A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.
(a) What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?
(b) What percent of fully charged cell phone batteries would be expected to last between 12 and 14 hours?
(c) What percent of fully charged cell phone batteries would be expected to last less than 15 hours?
(d) Would it be surprising if a fully charged cell phone battery lasted more than 17 hours? Explain why or why not.
The percentage is 50%
From the question we are told that
The mean is μ= 14 hours
The standard deviation is σ=1 hour
Generally on the normal distribution curve the mean divides the curve into two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )
Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%
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The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
Write the sentence as an inequality.
The sum of twice a number n and 8 is less than 25
Answer:
less than twenty five
v
25 - (2n + 8) < the sum of 2 times N plus 8.
Step-by-step explanation:
12. Remove the bracket and simplify
4y (6x-8)
Answer:
24xy - 32y
Step-by-step explanation:
4y × 6x =24xy
4y × -8 = -32y
brainliest plz? i got 1000+ points deleted
Answer:
4y(6x-8)
\(4y \times (6x - 8)\)
\(4y \times - 6x + 8\)
\( - 24xy + 8\)
\( - 32xy\)
Answer
If 2 = x - 3, then x
Answer:
x = 5
Step-by-step explanation:
to get x alone you need to add 3 to both sides
3+2 = x -3 +3
x = 3+2
Answer:
x = 5
Step-by-step explanation:
First, you can move -3 to the left hand side. This results in \(2 + 3=x\), now, we add 2+3. \(5=x\). This is optional: Now, you can switch the placements so it looks easier to read; \(x=5\)
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