Answer:
c = 100 or 10^2
d = 3125 or 5^5
Step-by-step explanation:
c. the answer for C is 10^2 because you just subtract the exponents same goes for d.
Select the correct answer. Vector u has its initial point at (1, -12) and its terminal point at (18,6). Vector v points in a direction opposite that of u, and its magnitude is three times the magnitude of u. What is the component form of vector v? A. v=(-51, -54) B. v=(-51, 18) C. v=(51, -54) v=(51, -18) D.
Find the Values of x and y
The values of x and y could be 25 and 113
What are parallel lines ?
parallel lines can be stated as , they both are equi distant from each other and which never intersect.
From the given figure,
y+12 = 3x + 50
as both are parallel to each other.
y-3x = 38
and 5x = y + 12
as vertically opposites are always equal .
y = 3x + 38
y = 5x - 12
hence,
5x - 12 = 3x +38
2x = 50
x = 25
put x = 25 in y = 3x + 38
y = 3 * 25 + 38
y = 113
hence the values of x and y are 25 and 113 respectively.
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What are interval examples?
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers.
Interval NotationInterval notation is a simplified way of describing a particular interval. Let’s see how it’s done.
Step 1: We write the first and last number of the interval, which are the endpoints of the interval. For example, if the interval is from 6 to 20, we write 6, 20.
Step 2: We use a round or square bracket on each side of the two numbers. We use:
A square bracket [ ], if we want to include the endpoints
A round bracket ( ), if we don’t want to include the endpoints
So in this example, we use:
[6, 20] if the interval includes 6 and 20(6, 20) if the interval excludes 6 and 20 (6, 20] if the interval excludes 6 but includes 20[6, 20) if the interval includes 6 but excludes 20 Types of IntervalsSo, we can see that some intervals include the endpoints, some partially include them, and some do not include them. Based on this, there are three types of intervals
These are:
Open intervalClosed intervalHalf-open and half-closed intervalOpen IntervalThis type of interval does not include the endpoints. For example, (5, 10) does not include endpoints 5 and 10.
Closed IntervalThis type of interval includes the endpoints. For example, [4, 9] includes the endpoints 4 and 9.
Half-Open and Half-Closed IntervalThis type of interval includes only one of the endpoints.
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solve the following equations for values of theta between 0 degrees and 360 degrees. 1. 2tan^2 theta - 7 sec theta + 8 = 0
The angles associated to the trigonometric equation 2 · tan² θ - 7 · sec θ + 8 = 0 are θ₁₁ ≈ 131.810°, θ₁₂ ≈ 228.190°, θ₂₁ ≈ 120° and θ₂₂ ≈ 240°.
How to solve a trigonometric equation
In this question we find a trigonometric equation, that is, an equation involving trigonometric functions, that must be solved for the interval between angles of 0° and 360°. This can be done by algebra properties and trigonometric formulas.
First, write the complete expression:
2 · tan² θ - 7 · sec θ + 8 = 0
Second, use trigonometric formulas and algebra properties to reduce the number of trigonometric functions within the equation:
2 · sin² θ / cos² θ - 7 / cos θ + 8 = 0
2 · sin² θ - 7 · cos θ + 8 · cos² θ = 0
2 - 2 · cos² θ - 7 · cos θ + 8 · cos² θ = 0
6 · cos² θ - 7 · cos θ + 2 = 0
Third, use algebraic subtitution and quadratic formula to determine the roots of the quadratic-like equation:
6 · u² - 7 · u + 2 = 0
u = - 7 / (2 · 6) ± [1 / (2 · 6)] · √[(- 7)² - 4 · 6 · 2]
u = - 7 / 12 ± (1 / 12) · 1
u = - 7 / 12 ± 1 / 12
There are two possibilities:
u₁ = - 2 / 3, u₂ = - 1 / 2
Fourth, find the angles associated to roots by inverse trigonometric functions:
u₁ = - 2 / 3
θ₁₁ ≈ 131.810°, θ₁₂ ≈ 228.190°
u₂ = - 1 / 2
θ₂₁ ≈ 120°, θ₂₂ ≈ 240°
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Rewrite the equation using the properties of exponents.
[tex]\sqrt[3]{81y^7}[/tex]
Answer:
3y^2 3√3y(end route) if you are simplifying, and (81y^7)^1/3 if you are rewriting it.
Step-by-step:
I know this!
cos(-0)=3, sin 0 <0
What is the value of sin ?
2√3/ 3
√6/3
-2 √3/3
-√6/3
On solving the provided question we can say that - here in trigonometry [tex]sinx(2cosx - 1) = 0\\[/tex] => sinx = 0 and 2 cosx -1 =0
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
[tex]sin 2x - sinx = 0\\-sinx + 2cosx sinx=0\\sinx(2cosx - 1) = 0\\[/tex]
sinx = 0 and 2 cosx -1 =0
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really struggling with these two
Question: The polygons are simular find the value of x
Answer:
3: x = 22.5
4: x = 3.75
Step-by-step explanation:
Find the volume of this square based pyramid. 5 ft 6 ft
Answer:
Volume of pyramid =1/3× Area of base × height
Since the base is a square
Area of base = l²
l = length
= 6²
= 36ft²
Height of pyramid = 5ft from the diagram above
Volume = 1/3× 36ft² × 5ft
= 60ft³
How do you draw a line segment equal to a given segment?
draw a line from the starting point of the segment to the endpoint using the same angle and length.
1. Place a ruler or straightedge on the given segment and draw a line along the length of the ruler.
2. Use a compass to create a line segment equal to the given segment. Set the compass to the length of the given segment, place the point of the compass on one end of the segment, and draw an arc to the other end of the segment.
3. Use a protractor to measure the angle and length of the given segment. Then, draw a line from the starting point of the segment to the endpoint using the same angle and length.
The answer explains three methods for drawing a line segment equal to a given segment: using a ruler or straightedge, using a compass, and using a protractor.
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Which of the following r-values represents the strongest correlation?
A. 0.55
B. 0.65
C. 0.35
D. 0.45
Answer:
0.65
Step-by-step explanation:
The r-value option (B) 0.65 represents the strongest correlation.
What is the correlation coefficient?The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
We need to determine the r-value that represents the strongest correlation.
The relationship between two variables is generally considered strong when their r value is larger than 0.7.
Among the options, 0.65 is near to 0.7, so it has strongest correlation.
Hence we can conclude that the r-value option (B) 0.65 represents the strongest correlation.
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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)
How to determine the correct representationsFrom the question, we have the following expression that can be used in our computation:
–3(2x – 5) < 5(2 – x)
Divide bot sides of the inequality by -1
So, we have the following representation
3(2x – 5) > -5(2 – x)
Next, we open the brackets
This gives
6x – 15 > -10 + 5x
Hence, the representation is 6x – 15 > -10 + 5x
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Complete question
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
(a) 6x – 15 > -10 + 5x
(b) 6x – 15 < -10 + 5x
(c) 3(2x – 5) > -5(2 – x)
(d) 3(2x – 5) < -5(2 – x)
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35%
Patryk has 7 cards.
There is a number on each card.
|2||3||4||5|| 6 ||7|| 8
Patryk takes two of the cards at random.
He works out the product of the numbers on the two cards.
Work out the probability that the product is an odd number.
EH
Type here to search
O
1/7 is the probability that the product is an odd number.
What is the simple definition of probability?
A probability is a number that expresses the possibility or likelihood that a specific event will take place.
Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Total Cards are 7
2 cards out of 7 cards can be selected in ⁷C₂ = 21 ways
Product would be odd if both cards are odd
3 , 5 , 7 are odd cards
2 cards out of 3 Can be selected in ³C₂ = 3 ways
( 3 , 5) , ( 3 , 7) , ( 5 , 7)
Hence probability the product of the numbers on the 2 cards is odd number
= 3/21
= 1/7
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What would a 44% decrease of 13 be?
puts $700.00 into an account to use for school expenses. The account earns 4% interest,
compounded continuously. How much will be in the account after 7 years?
Answer:
$926.19Step-by-step explanation:
Use formula:
A = Pe^(rt)Given
P = $700r = 4% = 0.04t = 7 yearsFind the amount:
A = 700*e^(0.04*7) = 926.19Which function has zeros of -8,1 and,3
Answer:
Step-by-step explanation:
(x+8)(x-1)(x-3)
I ned help i do not understand
Answer:
x=78
Step-by-step explanation:
x+x+24=180
2x+24=180
2x=156
x=78
Graph the systems of equations.
{2x+y=8
−x+2y=6
Need help really fast thank you so much!
Use the Line tool to graph the lines.
Answer:
x = 2
y = 4
Step-by-step explanation:
Select the three statements that correctly describe the coordinate system.
Answer:
I think no 3
if wrong correct me please
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Please hurry it's timed i need help
The solution of the given function cosx - √(3 - 3cos³x) = 0 is C. 30° + 360° n, 330° + 360°n
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
We are given the function as;
cosx - √(3 - 3cos³x) = 0
cosx = √(3 - 3cos³x)
Taking square root on both sides.
cos ²x = √(3 - 3cos³x) ²
cos ²x = (3 - 3cos³x)
For solving for x in
cos ²x = (3 - 3cos³x)
cos ²x = 3 (1 - cos³x)
(1 - cos³x) = cos ²x/3
x= π/6 + 2πn
or
x=11π/6 + 2πn
where n is an integer.
30° + 360° n, 330° + 360°n
The correct answer is C.
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write the equation of the line in fully simplified intercept form
Answer:
y = -x - 6
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise / run or (y2 - y1) / (x2 - x1)
Let's pick 2 points ( -6, 0) (-5, -1)
We see the y decrease by 1 and the x increase by 1, so the slope is
m = -1
The y-intercept is located at (0,-6)
So, our equation is
y = -x - 6
Find the area of the triangle.
6 in
12 in
The area of the triangle is
(Type a whole number)
6*12/2
72/2
36
Ans:36
Your welcome
give me a numerical expression that represents the product of four squared and sixty-three.
please !!
Answer:
Step-by-step explanation:Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Three vertices of parallelogram ABCD are A(-3,1), B(5, 7) and C(6, 2). Find the coordinates of vertex D
The coordinates of vertex D in the parallelogram ABCD are (7,-3).
What is the relation of vertex in a parallelogram?In a parallelogram, opposite sides are parallel and congruent. Therefore, the vector that goes from vertex A to vertex B is the same as the vector that goes from vertex C to vertex D, and the vector that goes from vertex B to vertex C is the same as the vector that goes from vertex D to vertex A.
The vector from vertex A to vertex B is [tex]< 5-(-3), 7-1 > = < 8,6 >[/tex]
So, the vector from vertex C to vertex D is also [tex]< 8,6 >[/tex]
The vector from vertex B to vertex C is [tex]< 6-5, 2-7 > = < 1,-5 >[/tex]
So, the vector from vertex D to vertex A is also [tex]< 1,-5 >[/tex]
To find the coordinates of vertex D, we can add the vector from vertex C to vertex D to the coordinates of vertex C.
The coordinates of vertex C are (6, 2)
So, the coordinates of vertex D are [tex](6+1, 2-5) = (7, -3)[/tex]
Therefore, the coordinates of vertex D in the parallelogram ABCD are (7,-3).
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Please help! Due today! :(
The answer is 1.57! I hope this helps you!
Complete the table with values for x or y that make this equation true : 3x+y=15.
The table with values for x or y that make this equation true : 3x + y = 15 are
x 2 4 6 0 3 5 7/3
y 9 3 -3 15 6 0 8
What is solving an equation?
One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side.
Consider, the given equation: 3x + y = 15
We have to complete the given table for the values of x and y.
Plug x = 2 in the given equation.
⇒ 3(2) + y = 15
6 + y = 16
y = 9
Plug y = 3 in the given equation.
3x + 3 = 15
3x = 12
x = 4
Plug x = 6 in the given equation.
3(6) + y = 15
18 + y = 15
y = -3
Plug x = 0 in the given equation.
3(0) + y = 15
y = 15
Plug x = 3 in the given equation.
3(3) + y = 15
9 + y = 15
y = 6
Plug y = 0 in the given equation.
3x + 0 = 15
3x = 15
x = 5
Plug y = 8 in the given equation.
3x + 8 = 15
3x = 7
x = 7/3
Hence, the table with values for x or y that make this equation true : 3x+y=15 are
x 2 4 6 0 3 5 7/3
y 9 3 -3 15 6 0 8
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OrScruffy Pals Pet Boxes sends pet supplies in the mail each month. Irma prepaid a 4-month subscription for her cats. She used a one-time coupon and received $8 off the total cost. Irma paid $64 in all. Which equation can you use to find m, the regular cost per month?
We employ the following equation to get the normal monthly cost:
4m - 8 = 64
Regular monthly expenses amount to $18.
Irma paid for her cats' subscription in advance for a 4-month period.
She saved $8 overall when she utilized a one-time discount.
Irma totaled $64 in payment.
We must identify the equation that can be utilized to calculate m, the average monthly cost.
Let's use m to symbolize the normal monthly expenditure. She signed up for a subscription that would last for four months, thus the full price without the voucher is 4m.
When the coupon is used, the final price is (4m - $8), since she was given a $8 discount.
Irma paid a total of $64 according to the problem, thus we can create the following equation:
4m - $8 = $64
We must now solve for m in order to determine it. Isolating 4m on one side of the equation will be our first step.
4m = $64 + $8
4m = $72
Finally, divide both sides by 4 to solve for m:
m = $72 / 4
m = $18
So, the regular cost per month, m, is $18.
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Abc and def are complementary angles what is the measure of x?
Complementary angles add to 90 degrees. This means that 65 + x = 90, so x = 90 - 65 = 25.
Which value of x makes this equation true: 5x - 12 + 3x + 28
i dont see an =, so imma assume u meant
5x - 12 + 3x=28
8x -12 = 28
8x = 40
x=5
please help you don't have to show work
Answer:
1. a
2. 422
3. 156.06
Step-by-step explanation:
From nose to tail your first dog is 5 feet long. Your first dog is the length of your second dog. How many feet long f is your second dog
According to fraction and ratio, second dog is 3/2 feet long.
In math, what is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
First dog is 5 feet long.
then,
5 feet is equal to 4/5 of the second dog's length.
multiply both sides by 5/4.
5/4 x 5 feet is the second dog's length.
The second dog is 25/4 feet long.
The second dog is 6(1/4) feet long.
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