The exact value of sec(-135°) is 1.
To find the exact value of sec(-135°), we need to use the relationship between secant and cosine functions.
The secant function is defined as the reciprocal of the cosine function:
sec(theta) = 1 / cos(theta).
We know that the cosine function has a period of 360°, which means that cos(theta) = cos(theta + 360°) for any angle theta.
In this case, we want to find sec(-135°). Since the cosine function is an even function (cos(-theta) = cos(theta)), we can rewrite sec(-135°) as sec(135°).
Now, let's focus on finding the value of cos(135°). The cosine function is negative in the second and third quadrants.
In the second quadrant, the reference angle is 180° - 135° = 45°. The cosine of 45° is equal to √2/2.
Therefore, cos(135°) = -√2/2.
Now, we can find sec(135°) using the reciprocal property:
sec(135°) = 1 / cos(135°).
Substituting the value of cos(135°), we have:
sec(135°) = 1 / (-√2/2).
To simplify further, we multiply the numerator and denominator by -2/√2:
sec(135°) = -2 / (√2 * -2/√2).
Simplifying the expression:
sec(135°) = -2 / -2,
sec(135°) = 1.
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need this answer before March 11, 2021/7 grade math
Can you assist me with this question ?
Answer:C.)8+28-10-35
g varies inversely as the cube of h.
Answer:
g = \(\frac{k}{h^3}\)
Step-by-step explanation:
Given that g varies inversely as h³ then the equation relating them is
g = \(\frac{k}{h^3}\) ← k is the constant of variation
At a meeting for math enthusiasts, two entrance fees are charged. Anyone who knows the code word “algemath” only pays 2 euros. Those who are unlucky and do not know the code word pay three euros more. You know that 7338 people were present and that the cashier received 17487 euros. How many people knew the password?
Number of People who knows the Code are 6401
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of People who kows the Code be x
Number of Peoplee who do not know the Code be y
According to the Question:
x + y = 7338 ----------(i)
2x + 5y = 17487 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 14676 ---------(iii)
Substracting Equation (iii) from Equation (ii)
3y = 2811
y = 937
This means x = 6401
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Select the appropriate symbol (<,>, or =) to describe the relationship between each pair of numbers
Answer:
Explanation:
Here, we want to compare values
The operator we put in the box will be dependent on the relationship between the two numbers
a) Here, we know that 1.1 is greater than 1.09, thus the operator between this too will be the less-than operator
\(1.09\text{ }<\text{ 1.01}\)b) Here, we want to compare a fraction and a decimal;
To make it easy, we turn them into the same form. For example, in this case, we can make the fraction, decimal and that means it will be greater than the original decimal
Thus, we use the greater than operator as shown below:
\(\frac{8}{7}\text{ }>\text{ 1.1}\)c) For negative numbers, the lower ones are usually the ones with a higher value
Take for example. we know that -2 is less than -1
Thus, in this case, we use the greater than operator as shown below:
\(-1.09\text{ }>\text{ -1.1}\)d) This is a similar one to the last question
From (b) above, we know that 8/7 is greater, but since we are considering their negative equivalents, we are going to use the less-than operator as follows:
\(-\frac{8}{7}<\text{ -1.1}\)Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position.
a(t) = 2i + 6*tj +12*t^2k
v(0) = i
r(0) = j - k
The velocity vector is v(t) = \(2tj + 24t^2k\) and the position vector is \(r(t) = tj + (12t^2 - 1)k.\)
The acceleration vector a(t) is given as \(2i + 6tj + 12t^2k.\) The initial velocity vector v(0) is given as i and the initial position vector r(0) is given as j - k. To find the velocity vector, we must integrate the acceleration vector with respect to time. This gives us the velocity vector \(v(t) = 2tj + 24t^2k.\)To find the position vector, we must integrate the velocity vector with respect to time. This gives us the position vector \(r(t) = tj + (12t^2 - 1)k.\) Therefore, the velocity vector and position vector of the particle are \(v(t) = 2tj + 24t^2k\)and \(r(t) = tj + (12t^2 - 1)k\) respectively.
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Is y = 2x^3+5 a linear function
Answer:
No
Step-by-step explanation:
No, y = 2x^3 + 5 is not a linear function. A linear function is a function that can be written in the form y = mx + b, where m and b are constants and x is the independent variable.
In the function y = 2x^3 + 5, we have a cubic term (x^3), which means that the function is not linear. The graph of a cubic function will have a curved shape, unlike a linear function, which will always be a straight line.
Helen makes 6 friendship bracelets . She gave 1/3 of the bracelets to sami which expression can i use
Answer:
6 x 1/3 = 2
Step-by-step explanation:
from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
What is the slope of the line whose equation is 5x+2y=10 ?
A. 2/5 C. -2/5
B. 5/2 D. -5/2
Please Help!!
Answer:
D
Step-by-step explanation:
You can rewrite the equation into slope intercept form and you get Y=10-5x/2 (The whole problem is being divided by 2).
You can leave -5/2 as it is because it's a lot easier to plot the point using Rise over Run or Rise/Run.
Hope this helps! :)
What problem can be solved by division of decimals?
Answer:
empeñemos eluden los emigró del fr¡¿&¿=£/€"=4=£64÷^£/:£=17
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
I need help with my math
The definition of the slope is described by the formula
\(m=\frac{y_2-y_1}{x_2-x_1}\)use point 1 as (-2,-3)
and point 2 as (2,3)
\(\begin{gathered} m=\frac{(3)-(-3)}{2-(-2)} \\ m=\frac{3+3}{2+2} \\ m=\frac{6}{4} \\ m=\frac{3}{2} \end{gathered}\)the slope is 3/2
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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lo . Madison hace un mantel individual. Lo divide en 6 partes iguales para colorearlo. ¿Cómo se llaman las partes?
The scale factor of for the given scaled reproduction of figure {P} to figure {Q} is 7/10.
What is scale factor?Scale factor is a constant value that is used to dilate (enlarge or reduce) the image size. Mathematically, for the scale factor -
{K} > 1 : Enlargement
{K} < 1 : Shrinking
{K} = 1 : Preserved
Given is figure {Q} is a scaled reproduction of figure {P}.
We can write the ratio of their corresponding sides as constant. So, we can write, the scale factor as -
K = 14/20
K = 7/10
Therefore, the scale factor of for the given figure {P} to figure {Q} is 7/10.
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{QUESTION IN ENGLISH -
Figure Q is a scaled reproduction of Figure P. What is the number by which the measurement of Figure Q must be multiplied to obtain Figure P?
Figure P
20cm
Figure Q
14cm
the probability distribution for the number of goals the lions soccer team makes per game is given below. number of goals probability 0 0.30 1 0.35 2 0.15 3 0.10 4 0.10 what is the probability that in a given game the lions will score less than 3 goals?
The probability that in a given game the lions will score less than 3 goals is 0.80.
The probability distribution for the number of goals the lions soccer team makes per game is given below:
number of goals probability 0 0.30 1 0.35 2 0.15 3 0.10 4 0.10. The probability that in a given game the lions will score less than 3 goals is 0.80.
To find the probability that in a given game the lions will score less than 3 goals, we need to add up the probabilities for scoring 0, 1, or 2 goals.
P(Less than 3 goals) = P(0 goals) + P(1 goal) + P(2 goals)
We have the following probabilities:
P(0 goals) = 0.30
P(1 goal) = 0.35
P(2 goals) = 0.15
Therefore,
P(Less than 3 goals) = P(0 goals) + P(1 goal) + P(2 goals)
= 0.30 + 0.35 + 0.15
= 0.80
Thus, the probability that in a given game the lions will score less than 3 goals is 0.80.
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Martina is going to watch a movie in her collection. She has 10 action movies, 5 comedies, and 8 dramas.
She will randomly select one movie. What is the probability that the movie she selects is not a drama?
Write your answer as a fraction in simplest form.
Answer:
15/23
Step-by-step explanation:
In total, Martina has a collection of 10 + 5 + 8 = 23 movies. 23 is the total number of outcomes, so that shall be the denominator. Now, she has 10 + 5 = 15 movies that aren't drama. Since this is the number we're counting, this will be the numerator. The probability as a fraction, thus, will be 15/23.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.
Answer:
radius: 1460 micircumference: 9174 miStep-by-step explanation:
If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...
82.6°/360° = 413/1800 ≈ 0.229444...(repeating)
The relation between the given distance and the circumference is ...
0.294444C = 2105 mi
C = 2105 mi/0.294444 ≈ 9174 mi
The radius of the spherical planet is this divided by 2π:
r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi
The radius of the planet is about 1460 miles; the circumference is about 9174 miles.
Write a compund interest function to model the following then find the balance after the given number of years situation$17 400 invested at a rate of 2.5 compounded annually 8 years
Therefore, after 8 years, the interest will be $20,146.60.
What is interest?When a customer pays interest to borrow money from a bank, for example, interest is referred to as a payment from the borrower in the finance industry.
The customer would pay an amount that is greater than the amount they borrowed due to interest.
The principal is the sum of money that was first invested or lent and upon which interest is based.
We refer to the process of calculating fresh interest based on the new principal (which is the old principal plus interest) at the conclusion of the subsequent payment period as compound interest when we add interest to interest.
So, compound interest is interest that is paid on both the principal and interest that has already been generated.
We may calculate compound interest using the following straightforward formula:
That has to be clarified in order for us to address the issue at hand:
17400 invested at a 2.5% annual compounded rate for an 8-year period.
Let's take a look at what is provided and note it down.
Therefore, the principal is $43,000.00. In addition, we know that our rate is 2.5%, or 0.025
If it is annually compounded, n=1 times every year.
Additionally, t=8 years.
A = 17400(1 + 0.025/1)⁸ A = $20,146.60
Therefore, after 8 years, the balance will be $20,146.60.
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Therefore, after 8 years, the interest will be $20,146.60.
What is interest?When a customer pays interest to borrow money from a bank, for example, interest is referred to as a payment from the borrower in the finance industry.
The customer would pay an amount that is greater than the amount they borrowed due to interest.
The principal is the sum of money that was first invested or lent and upon which interest is based.
We refer to the process of calculating fresh interest based on the new principal (which is the old principal plus interest) at the conclusion of the subsequent payment period as compound interest when we add interest to interest.
So, compound interest is interest that is paid on both the principal and interest that has already been generated.
We may calculate compound interest using the following straightforward formula:
That has to be clarified in order for us to address the issue at hand:
17400 invested at a 2.5% annual compounded rate for an 8-year period.
Let's take a look at what is provided and note it down.
Therefore, the principal is $43,000.00. In addition, we know that our rate is 2.5%, or 0.025
If it is annually compounded, n=1 times every year.
Additionally, t=8 years.
A = 17400(1 + 0.025/1)⁸ A = $20,146.60
Therefore, after 8 years, the balance will be $20,146.60.
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
is this a rigid motion
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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PLEASE HELP 50 points and brainliest write it out so i can copy it
m∠BEC = 29°
m∠ABC = 122°
Step-by-step explanation:
∠BEC + ∠ECB + ∠CBE = 180
x + 93 + 2x = 180
3x = 180 - 93
3x = 87
x = 87/3
x = 29
∠BEC = x = 29°
∠ABC + ∠CBE = 180°
∠ABC + 2x = 180
∠ABC + 2(29) = 180
∠ABC + 58 = 180
∠ABC = 180 - 58
∠ABC = 122°
Answer:
39 ° ; 102 °
Step-by-step explanation:
2x° + x° + 93° = 180°
3x + 93 = 180
3x = 87
x = 29
m∠BEC = 29 °
m∠EBC = (2 × 29)° = 58°
m∠ABC + m∠EBC = 180°
m∠ABC = 180° - 58° = 122 °
Help help help help
Answer:
2 terms
Step-by-step explanation:
The word "term" is used to refer to all kinds of expressions and parts of expressions. In a polynomial in standard form, we generally consider a terms to be the elements of the sum.
Here, the terms are ...
6y+3There are 2 terms.
__
Additional comment
In a polynomial, a term will generally be a constant, or a constant multiplied by a variable or some product of variables.
In other kinds of expressions, we often describe explicitly what we're considering to be a term. For example, we might say that in 3√(x+2), the term (x+2) must be non-negative. If this radical expression were part of something larger, we might describe all of it as being a term.
(84x^3/(37y)) + (3√(x+2)) . . . . can be considered to have 2 terms, each an addend of the sum.
5. Decide whether or not each equation represents a proportional relationship.
a. Volume measured in cups (c) vs, the same volume measured in ounces (z) :
c={1/}{8} z
b. Area of a square (A) vs. the side length of the square (s): A=s²
c. Perimeter of an equilateral triangle (P) vs. the side length of the triangle (s):
3 s=P
d. Length (L) vs. width (w) for a rectangle whose area is 60 square units: L={60}/{w}
The equation represents a proportional relationship is, A = s², 3 s = P, L = 60 / w, so options B, C, and D are correct.
What is proportionality?When the corresponding elements of two numerical sequences, frequently experimental data, have a fixed ratio, this is referred to as the coefficient of proportionality, and the two sequences are said to be proportional or directly proportional.
Given:
(a) The Volume measured in cups (c) vs, the same volume measured in ounces (z) :
c = 1 / 8 z
As we know that 1 cup = 8 ounces, so the above statement is not proportional,
c = 8z is the correct statement.
(b) Area of a square (A) vs. the side length of the square (s): A=s², is the correct proportional relationship by the formula of area of the square.
(c) Perimeter of an equilateral triangle (P) vs. the side length of the triangle (s):
3 s = P is also a proportional relationship, as the perimeter is 3 times the side.
(d) Length (L) vs. width (w) for a rectangle whose area is 60 square units: L = 60 / w, is also a proportional relationship as the area of the rectangle if length times width.
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Assuming that a personal space is 3ft squared. Estimate how many people can fit into a circular arena a diameter of 100 yards?
Answer
2617.
Step-by-step explanation
To estimate the number of people that can fit into a circular arena with a diameter of 100 yards, we first need to find the area of the arena. To do this, we can use the formula for the area of a circle, which is equal to pi times the radius squared. Since the diameter of the arena is 100 yards, the radius would be half of that, or 50 yards. Plugging this value into the formula for the area of a circle, we get:
Area = pi * 50^2
Since pi is approximately equal to 3.14, we can plug this value into the equation to get:
Area = 3.14 * 50^2
This simplifies to:
Area = 3.14 * 2500
Which gives us an area of approximately 7850 square yards.
Since one person requires a personal space of 3 square feet, we can divide the total area of the arena by 3 to find the number of people that can fit in the arena. This gives us:
7850 square yards / 3 square feet/person = 2616.666... people
Rounded to the nearest whole number, this means that approximately 2617 people could fit in the circular arena with a diameter of 100 yards.
help me please
\(2x + 15 = - 3x\)
thanku
Step-by-step explanation:
2x+15=-3x
2x-2x+15=-3x-2x
15 =-5x
\( \frac{15}{ - 5} = \frac{ - 5}{ - 5} \)
\( - 3 = x\)
Answer:
-c. something but I need brainlist
This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the question. Demand at a store can be modeled by a random variable which takes the following values across four different scenarios that occur with following probabilities. Scenario Low: D1 = 10 with probability P1=0. 1 Scenario Medium 1: D2 = 30 with probability P...2=0,4 Scenario Medium 2. D3 = 60 with probability p. 3-0.4 Scenario High: 04 = 90 with probability p_4=0.7 What is the mean of this demand distributional?
Answer:
mean of this demand distribution = 100
Step-by-step explanation:
To find the mean of this demand distribution;
Mean = Expected vale = E[x]
for discrete provability function,
we say E[x] = ∑(x.p(x))
x p(x) x.p(x)
10 0.1 1
30 0.4 12
60 0.4 24
90 0.7 63
∴ ∑(x.p(x)) = ( 1 + 12 + 24 + 63 )
∑(x.p(x)) = 100
Which table represents a linear function?
Answer:
(0,3), (1,1), (2,-1), (3,-3)
Step-by-step explanation:
good luck, i hope this helps :)
Answer:
D
Step-by-step explanation:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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