What signs are sec( – 140°) and cot( – 140°)? sec 140°) > 0 and cot( - 140°) < 0 sec- 140') < 0 and coté – 140°) > 0 They are both positive. They are both negative.
Answers
Given the trigonometry,
\(\sec (-140^0)and\cot (-140^0)\)Solving for sec(-140°)
Express with cos
\(\begin{gathered} \sec \mleft(-140^{\circ\: }\mright)=\frac{1}{\cos\left(-140^{\circ\:}\right)} \\ =\frac{1}{\cos\left(-140^{\circ\:}\right)} \end{gathered}\)Use the following property: cos(-x)=cos(x)
\(\begin{gathered} \cos \mleft(-140^{\circ\: }\mright)=\cos \mleft(140^{\circ\: }\mright) \\ =\frac{1}{\cos\left(140^{\circ\:}\right)}=\frac{1}{-0.7660}=-1.3054830\approx-1.31(2dp) \\ \therefore The\text{ answer is -1.31.} \end{gathered}\)Let us now solve for cot(-140°)
Express with tan
\(\cot (-140^0)=\frac{1}{\tan (-140^0)}\)Use the following property: tan(-x)=tan(x)
\(\begin{gathered} \tan (-140^0)=\tan (140^0) \\ =\frac{1}{\tan(140^0)}=\frac{1}{-0.8390}=-1.191895\approx-1.19(2\text{ decimal places)} \\ \text{The answer is -1}.19 \end{gathered}\)From above results gotten, we can conclude that both are negative.
Hence, the correct option is Option 4.
Related Questions
properties of exponents. the answer is 1/2^12 i need help with the work
Answers
Step-by-step explanation:
Answer in attached image...
hope it helps
(2^-1 -2^-1 × 2^-4)^2
(1/2 - 1/2 × 1/2^4)^2
(1/2 - 1/2^5)^2
(1/2 - 1/32)^2
(16/32-1/32)^2
(15/32)^2
(15/2^5)^2
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Find the area of the figure.
PLS I NEED HELP FAST!
Answers
55 ft
base + base2 / 2 x h
find two functions f and g
a. f(x) =
b. f(x) =
Answers
The functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
a) To find two functions f and g such that (fog)(x) = 1/(x + 2), we need to determine how the composition of the two functions f and g produces the given expression.
Let's start by assuming g(x) = x + a, where a is a constant. This means that g(x) adds the constant a to the input x.
Next, let's determine the function f(x) such that (fog)(x) results in the desired expression. We have:
(fog)(x) = f(g(x)) = f(x + a)
b) To simplify the expression 1/(x + 2) and make it match f(g(x)), we can consider f(x) = 1/x.
Substituting the expressions for f(x) and g(x) into (fog)(x), we have:
(fog)(x) = f(g(x)) = f(x + a) = 1/(x + a)
Comparing this with the desired expression 1/(x + 2), we see that a = 2. Therefore, the functions f and g are:
a. f(x) = 1/x
b. g(x) = x + 2
Using these functions, we can verify the composition (fog)(x):
(fog)(x) = f(g(x)) = f(x + 2) = 1/(x + 2)
Thus, (fog)(x) = 1/(x + 2), which matches the desired expression.
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Hannah took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.90 plus $3.75 per mile. The total fare was $80.65, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answers
Answer: y=3.75x+1.9
Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Pick up fee charges = $1.90
Charges per mile = $3.75
Total fare = $80.65
The number of miles traveled = x
We can write an equation as:
1.90 + 3.75x = 80.65
The number of miles traveled:
1.90 + 3.75x = 80.65
Subtract 1.90 on both sides.
1.90 + 3.75x - 1.90 = 80.65 - 1.90
3.75x = 78.75
Divide both sides by 3.75.
x = 21.
Thus,
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
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En cierto laboratorio se cultiva la cepa de una bacteria, causal de múltiples problemas. Con fin de determinar la rapidez de reproducción de dicha bacteria, esta se coloca en un medio de crecimiento y condiciones favorables. La población existente es de 250 bacterias y se observa que cada hora se duplica la cantidad
Answers
The exponential function giving the number of bacteria after x hours is given as follows:
\(y = 250(2)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 250, b = 2.
Hence the function is given as follows:
\(y = 250(2)^x\)
Missing InformationThe problem asks for the exponential function giving the number of bacteria after x hours is given as follows:
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Use the following federal tax table for biweekly earnings of a single person to help answer the question below. A 9-column table with 7 rows is shown. Column 1 is labeled If the wages are at least with entries 720, 740, 760, 780, 800, 820, 840. Column 2 is labeled But less than with entries 740, 760, 780, 800, 820, 840, 860. Column 3 is labeled And the number of withholding allowances is 0, the amount of income tax withheld is, with entries 80, 83, 86, 89, 92, 95, 98. Column 4 is labeled And the number of withholding allowances is 1, the amount of income tax withheld is, with entries 62, 65, 68, 71, 74, 77, 80. Column 5 is labeled And the number of withholding allowances is 2, the amount of income tax withheld is, with entries 44, 47, 50, 53, 56, 59, 62. Column 6 is labeled And the number of withholding allowances is 3, the amount of income tax withheld is, with entries 26, 28, 31, 34, 37, 40, 43. Column 7 is labeled And the number of withholding allowances is 4, the amount of income tax withheld is, with entries 14, 16, 18, 20, 22, 24, 26. Column 8 is labeled And the number of withholding allowances is 5, the amount of income tax withheld is, with entries 1, 3, 5, 7, 9, 11, 13. Column 9 is labeled And the number of withholding allowances is 6, the amount of income tax withheld is, with entries 0, 0, 0, 0, 0, 0, 1. Mario has gross biweekly earnings of $784.21. By claiming 1 more withholding allowance, Mario would have $13 more in his take home pay. How many withholding allowances does Mario currently claim? a. 3 b. 4 c. 5 d. 6 Please select the best answer from the choices provided A B C D
Answers
Answer:
The answer would be B.
Step-by-step explanation:
Arrange the steps in order to simplify the expression
Answers
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
y = 2/3x + 20 when x = 21
Answers
Answer:
34
Step-by-step explanation:
Answer:34
Step-by-step explanation:
2/3x21=14
14+20=34
Tell whether each ordered pair is a solution of the equation: 2x - y = 4, ( 3, -2 )
Answers
The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x,y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, an equation 2x - y = 4 now if (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.
when x = 3,
2(3) - y = 4.
6 - y = 4.
- y = 4 - 6.
- y = - 2.
y = 2.
So, (3, - 2) is not a solution to an equation 2x - y = 4.
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A school is arranging a field trip to the zoo. The school spends 778.88 dollars on passes for 28 students and 4 teachers. The school also spends 241.64 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
The total money spent on a pass and lunch for each student is $850.14.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
here,
As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.
Total number of person = 28 + 4
= 32
Cost per pass = 778.88 / 32
= $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14
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Another math problem. Can you solve it? I can't... For a good answer I'll make it 'The Best' I hope you can help me
x² + x² + x² = x² + x²
² as in times by itself e.g. 8² is 64 (8 x 8)
Answers
Answer:
x = 0
Step-by-step explanation:
Let's simplify first:
x² + x² + x² = x² + x² =>
3x² = 2x² =>
3x² - 2x² = 0 =>
x² = 0
x = √0 = 0
find the derivative of h(x)=x^3 (5 -3x)^4
Answers
We can solve this with the derivative of f(x) multiplied by g(x):
\(\frac{d(f\cdot g)}{dx}(x)=\frac{df}{dx}\cdot g+f\cdot\frac{dg}{dx}\)In this case we can choose f(x)=x^3 and g(x)=(5-3x)^4, so:
\(\frac{dh}{dx}(x)=\frac{d(f\cdot g)}{dx}(x)=\frac{d(x^3)}{dx}(5-3x)^4+x^3\frac{d((5-3x)^4)}{dx}\)\(\begin{gathered} \frac{d(x^3)}{dx}=3x^2 \\ \frac{d((5-3x)^4)}{dx}=4\cdot(5-3x)^3\cdot\frac{d(5-3x)}{dx} \\ \frac{d(5-3x)}{dx}=\frac{d(5)}{dx}-\frac{d(3x)}{dx}=0-3=-3 \end{gathered}\)\(\begin{gathered} \frac{dh}{dx}=3x^2(5-3x)^4+x^3\cdot4\cdot(5-3x)^3\cdot(-3) \\ \frac{dh}{dx}=3x^2(5-3x)^4-12x^3(5-3x)^3 \end{gathered}\)We can factor by 3x^2(5-3x)^3 to simplify the formula:
\(\begin{gathered} \frac{dh}{dx}=3x^2(5-3x)^3\lbrack(5-3x)-4x\rbrack \\ \frac{dh}{dx}=3x^2(5-3x)^3(5-7x) \end{gathered}\)8- 2r+6r+5=? use r = 8
Answers
Answer:
45
Step-by-step explanation:
8 - 16 + 48 + 5
-8 + 48 + 5 =
40 + 5 =
45
Hope that helps!
What is the value of f(-5)?
Answers
Answer:
None
Step-by-step explanation:
Cant solve it without an X value
Find the value of x in the triangle.
27 degrees
44 degrees
47 degrees
56 degrees
Answers
Answer:
47°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° so
48 + 85 + x = 180 add like terms
133 + x = 180 subtract 133 from both sides
x = 47°
Carlos needs an average of 90% or greater on his quiz scores to earn an A in science class for the quarter. Each quiz is worth 20 points. The scores of his first four quizzes are shown in the table. There is one more quiz this quarter. Quiz Score 1 2 3 4 18 at least 19 17 20 What is the mininum score Carlos can earn on the final quiz to earn at least a 90% average? points
Answers
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
We have,
Let's start by finding the total number of points that Carlos can earn in the class:
Total points
= 5 quizzes x 20 points per quiz
= 100 points
If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.
Total points earned.
= 18 + 19 + 17 + 20
= 74 points
To find the minimum score Carlos needs on the final quiz, we can set up an inequality:
(74 + x) / 5 ≥ 0.9
where x is the score on the final quiz.
Simplifying this inequality.
74 + x ≥ 90
x ≥ 16
Therefore,
Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.
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Im sorry I need help on this to
Answers
The third piece length is 0.81m
Step-by-step explanation:
Main length=5m
First length=2.34m
second length=1.85m
Third length=?
3rd length= main length-( 1st length + 2nd length)
=5m-(2.34m+1.85m)
=5m-4.19m
=0.81m
find the population variance and standard deviation for the following ages of children in a family: 1, 3, 5, 7, 8, 11, 14.
Answers
The population variance and standard deviation for the following ages of children in a family is 17.42,4.17.
The term variance refers to a statistical measure of the difference between numbers in a data set. More specifically, the variance measures how far each number in the set is from the mean (mean), and thus from all the other numbers in it. Variance is often described by this symbol: σ2.
Standard deviation is a measure of how much variation (eg spread, variance, dispersion) there is from the mean. The standard deviation indicates the "typical" deviation from the mean. It is a popular measure of variability because it returns the data set to its original units of measurement.
mean = (1+3+5+7+8+11+14)/7=7
variance
∑\(( X -u )^{2} /n\)
= (36+16+4+0+1+16+49)/7=17.42
standard deviation = \(\sqrt{variance}\)
= 4.17
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Steph Curry makes 9 out of 10 free throws. If he shoots 200 free throws how many can he expect to make
180 because first you divide by ten then you multiply that by nine which is equivalent to 180.
explain how i got the answer above step by step
Answers
Kendrick caught 22 rainbow trout and 18 tiger trout while fishing last month. What percent of the trout were tiger trout?
Answers
Answer:81%
Step-by-step explanation:
Answer:
60% tiger trout
Step-by-step explanation:
First, do 22+18= 40
Then, when doing % its always out of 100. So, 100 - 40= 60%
Which means, there were 60% Tiger trout.
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answers
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
Given a mean of 34 and a standard deviation of 5. Find the following z-scores.
Answers
The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.
To find the z-scores, we need to use the formula:
z = (x - μ) / σ
where:
z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.
Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:
z = (39 - 34) / 5
z = 5 / 5
z = 1
So, the z-score for the raw score of 39 is 1.For a raw score of 30:
z = (30 - 34) / 5
z = -4 / 5
z = -0.8
The z-score for the raw score of 30 is -0.8.
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please help meeeeeeeee
Answers
Answer:
2 4/5 and 3 2/3
Step-by-step explanation:
find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number
How do I find the value
Answers
Answer:
A= 180-41=
A= 139 degrees
B= 180-41
B = 139 degrees
Step-by-step explanation:
On a straight line its 180 degrees
A is separating a straight line with a 41-degree angle so.
A= 180-41
A= 139 degrees
B is also separating a straight line with a 41-degree angle so.
B= 180-41
B = 139 degrees
Answer:
Hi
Please mark brainliest
Leah is building a birdhouse for purple martins birds that prefer cube shaped birdhouses what are the dimensions of each square piece of wood leah needs to build the 216 cubic inch birdhouse
Answers
Answer:
Each square piece of wood will be 6 inches
Step-by-step explanation:
Please help me. Expert only. Right answer only.
Answers
Answer:
241.2
Step-by-step explanation:
Divide 201 by 10
\(201/10=20.1\)
Multiply 20.1 by 12
\(20.1 * 12 = 241.2\)
The answer is 241.2
Let V and W be finite dimensional vector spaces. Assume that dim(W) = m, and dim(V) n. Suppose v V and vメ0. (a) Let U T E L(V,w) : T(v) -0]. Prove that U is a subspace of L(V, W) (b) Let F : L(V,W) → W be the map defined by F(T) =T(v). Show that F is a linear map, and U is the null space of F. (c) Find the dimension of U.
Answers
(a) U is a subspace of L(V, W) (b) F is a linear map, and U is the null space of F. (c) The dimension of U is n - 1
The dimension of U is n - 1
(a) To demonstrate that U is a subspace of L(V, W), we must demonstrate that it meets the three subspace properties:
If T1 and T2 are in U, then T1 + T2 is in U as well, since if T1(v) = 0 and T2(v) = 0, then (T1 + T2)(v) = T1(v) + T2(v) = 0 + 0 = 0.
If T is in U and c is a scalar, then cT is in U, since if T(v) = 0, then (cT)(v) = c * T(v) = c * 0 = 0.
Containing the zero vector: Because 0(v) = 0, the zero transformation in L(V, W), indicated by 0, is in U.
As a result, U is a subspace of L. (V, W).
(b) To demonstrate that F is a linear map, we must demonstrate that it meets the following two properties:
Addition linearity: F(T1 + T2) = (T1 + T2)(v) = T1(v) + T2(v) = F(T1) + F(T2) (T2).
Homogeneity is defined as F(cT) = (cT)(v) = c * T(v) = c * F. (T).
As a result, F is a linear map. To demonstrate that U is the null space of F, we must first demonstrate that U is the set of all T in L(V, W) such that F(T) = 0. In other words, T(v) = 0.
(c) A basis for U can be used to calculate the dimension of U. Because U is a subspace of L(V, W), we may construct a basis for U by limiting a basis for L(V, W) to U. A basis for L(V, W) can be produced by designating as T1, T2,..., Tn the set of all transformations that send the standard basis vectors of V to the standard basis vectors of W. These transformations' constraints to U are T1, T2,..., Tn such that T1(v) = T2(v) =... = Tn(v) = 0. Because v = 0, T1, T2,..., Tn constitute a linearly independent set. As a result, dim(U) = n - 1.
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please I need help with this
Answers
A. The following are sets A and B:
A = {2, 3, 5, 7, 11}
B = {1, 2, 3, 4, 6, 12}
C. Elements not in A or A' = ∅
B. The Venn diagram is attached
How to solve sets?A universal set is a set which consists of all elements related to the given sets. It is denoted by U.
A. Set A:
A = {2, 3, 5, 7, 11}
Set B:
B = {1, 2, 3, 4, 6, 12}
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
A' = {1, 4, 6, 8, 9, 10, 12}
C. Elements not in A or A' = ∅
Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.
Hence, the Venn diagram of sets A, B and U has been attached.
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50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answers
Answer:
A. \(\frac{24}{25}\)
Pippin went to a game room that charged $4 admission, plus $0. 25 per token. The equation which represents his total cost is y = 0. 25x + 4. What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?.
Answers
Answer:
5 = $ 5.25. 10= $ 6.50. 20= $9.00
Step-by-step explanation:
if this is wrong you can completely write me a really rude email or message or something