If sin a = -4/5


and sec B =5/3


for a third-quadrant angle a and a first-quadrant angle Ã, find the following


(a)


sin(a + B)


(b)


tan(a + b)


(c) the quadrant containing a + B


O Quadrant I


O Quadrant II


O Quadrant III


O Quadrant IV

Answer:

2.903225

Step-by-step explanation:

if you divide 2negativezs, you get a positive. -90/-31 =2.903225

it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

True, for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value.
A scalar-valued function f(x, y) is a function that takes two inputs (x and y) and outputs a single value. These types of functions are often used to represent the relationship between two variables, such as the height of a surface above a plane, temperature distribution, or profit of a business depending on two factors.
To find the maximum or minimum value of a scalar-valued function f(x, y), we need to examine its critical points. Critical points are the points where the gradient of the function is either zero or undefined. The gradient is a vector consisting of the partial derivatives of the function with respect to x and y. We can calculate the partial derivatives (∂f/∂x and ∂f/∂y) and then set them equal to zero to find the critical points.
Once we have found the critical points, we can determine whether they correspond to a maximum, minimum, or saddle point (neither a maximum nor a minimum) by examining the second partial derivatives. The second partial derivatives help us determine the curvature of the function around the critical point. We can use the second partial derivative test, which involves calculating the determinant of the Hessian matrix (composed of the second partial derivatives) to classify the critical points.
In conclusion, it is true that for a scalar-valued function f(x, y), it makes sense to talk about its maximum or minimum value. We can find these values by analyzing the critical points and their corresponding second partial derivatives.

for more questions on partial derivatives

https://brainly.com/question/10309252

#SPJ11

Answer:

25 or 26 depending if your rounding if you're not rounding it's 25.7495

As per the triangle, the length of the other, shorter leg is 3.46 units.

We know that a is twice the length of b, so we can write:

a = 2b

We also know that c is the square root of three times b, or:

c = √3b

Now, let's say we're given the length of the longer leg, a. We can use our equation a = 2b to solve for b:

a = 2b

b = a/2

So, we know that the shorter leg is half the length of the longer leg. For example, if a is 8, then b is 4.

To double-check our answer, we can use the equation for the hypotenuse:

c = √3b

c = √3(4)

c = 2√3 = 3.46

To know more about triangle here

https://brainly.com/question/8587906

#SPJ4

Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

Answer:

I think it's x=4

Step-by-step explanation:

i forgot how I got it

Answer: x = -4

Step-by-step explanation: Got it right

Answer:

two

Step-by-step explanation:

mark as brainliest

please

1) Find the Greatest Common Factor (GCF).

4x

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

\(4x(\frac{64xyz}{4x} +\frac{-36xy}{4x} +\frac{24x}{4x})\)

3) Simplify each term in parentheses.

\(4x(16yz-9y+6)\)

The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x

A = 4x ( 16yz - 9y + 6 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

A =  64xyz - 36xy + 24x

Now , the Greatest Common Divisor is the highest number that divides exactly into two or more numbers. It is also expressed as GCF

So , the equation A can be factorized as

Taking 4x as the common term of the equation , we get

A = 4x ( 16yz - 9y + 6 )

So , the common term is 4x and the greatest common factor of the equation A is 4x

Therefore , the GCF is 4x

Hence , The greatest common factor of equation A = 64xyz - 36xy + 24x is 4x and A = 4x ( 16yz - 9y + 6 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

your answer should be 8 according to the bearing given

After considering the given data we conclude that the correct answer which is the correct option is b which is 3/28, regarding the conditional probability.

We are given that an urn contains 3 green balls and 5 red balls. Let Rᵢ be the event that the i-th ball without replacement is red. We need to find \(P(R_3| R_2 \cap R_1).\)
Using the conditional probability formula, we have:
\(P(R_3| R_2\cap R_1) = P(R_3 \cap R_2 \cap R_1) / P(R_2 \cap R_1)\)
Since we are drawing balls without replacement, the probability of drawing a red ball on the first draw is 5/8. The probability of drawing a red ball on the second draw given that the first ball was red is 4/7. Similarly, the probability of drawing a red ball on the third draw given that the first two balls were red is 3/6 = 1/2. Therefore, we have:
\(P(R_3 \cap R_2 \cap R_1) = (5/8) * (4/7) * (1/2) = 5/56\)
To find P(R₂ ∩ R₁), we can use the law of total probability:
\(P(R_2 \cap R_1) = P(R_2 \cap R_1 | R_1) * P(R_1) + P(R_2 \cap R_1 | R_1') * P(R_1')\)
where R₁' is the complement of R₁ (i.e., the event that the first ball drawn is not red). Since we are drawing balls without replacement, the probability of drawing a red ball on the second draw given that the first ball was not red is 5/7. Therefore, we have:
\(P(R_2 \cap R_1) = (5/8) * (5/7) + (3/8) * (3/7) = 29/56\)
Substituting these values into the conditional probability formula, we get:
\(P(R_3| R_2 \cap R_1) = (5/56) / (29/56) = 5/29\)
Therefore, the answer is (b) 3/28.
To learn more about conditional probability
https://brainly.com/question/28339868
#SPJ4
The complete question is
An urn contains 3 green balls and 5 red balls. Let R, be the event the i-th ball without replacement is red. Find P(R3| R2 \cap R₁).
a) 1/56
b) 3/28
c) 1/2
d) 5/8

Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

To know more about measures visit:

https://brainly.com/question/2384956

#SPJ11

When to use correlation instead of ANOVA: Correlation and analysis of variance (ANOVA) are both statistical techniques used to examine relationships between variables.

However, they have different purposes and are used in different scenarios. Use correlation when:

You want to measure the strength and direction of the linear relationship between two continuous variables.

You are interested in assessing the degree of association between variables without any specific grouping or experimental design.

You want to determine if there is a linear relationship between two variables but not necessarily determine if one variable affects the other.

Example: Suppose you want to examine the relationship between the hours spent studying and the exam scores of a group of students. By calculating the correlation coefficient (such as Pearson's correlation coefficient), you can assess whether there is a linear relationship between the two variables.

Use ANOVA when:

You want to compare means across two or more groups or categories.

You have a categorical independent variable and a continuous dependent variable.

You want to determine if there are statistically significant differences between the means of the groups.

Example: Imagine you are studying the effect of different fertilizer treatments on the growth of plants. You divide the plants into three groups, each receiving a different fertilizer treatment. By conducting an ANOVA, you can determine if there are significant differences in the mean growth among the three fertilizer groups.

In summary, correlation is used to measure the strength and direction of a linear relationship between two continuous variables, while ANOVA is used to compare means across different groups or categories.

The usefulness of partial correlation and an example:

Partial correlation is a statistical technique that measures the degree of association between two variables while controlling for the effects of one or more additional variables. It allows you to examine the relationship between two variables while holding other variables constant or controlling for their influence.

Partial correlation is useful in the following scenarios:

When you want to assess the relationship between two variables after accounting for the effects of other potentially confounding variables.

When there is a possibility that the relationship between two variables might be explained or influenced by other factors, and you want to isolate the direct association between them.

Example: Suppose you are studying the relationship between income and education level, but you suspect that age might confound this relationship. By calculating the partial correlation coefficient between income and education, controlling for age, you can examine the association between income and education while removing the influence of age.

By using partial correlation, you can better understand the direct relationship between two variables by accounting for the potential effects of other variables that might distort or confound the relationship. It allows you to isolate and assess the unique association between two variables of interest.

Learn more about statistical here:

https://brainly.com/question/32201536

#SPJ11

Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

If Kim did not spend any money, she has $147.78 now.

Step-by-step explanation:

If Kim did not spend any money, the money she has now would be equal to the amount she had at the beginning of the month plus the three payments she received minus the amount she paid her sisters, which is:

(66.78+(3*33.50))-(2*9.75)=(66.78+100.5)-19.5=167.28-19.5=147.78

According to this, the answer is that if Kim did not spend any money, she has $147.78 now.

Step-by-step explanation:

-2/3x+ 3/7 = 1/2

-2/3x = 1/2 -3/7

-2/3x = 7-6 /14

-2/3x = 1/14

3x = 1/14×(-2)

3x = 1/ -28

x = 1/ -28×3

x = 1/-84

BX cable is a type of metal-clad cable that is primarily used in indoor electrical wiring in commercial and industrial buildings.The total length of BX cable required is 259.125 feet.

To calculate how many feet of BX cable is required for the job, we need to add up the total lengths of the cable needed

Eight pieces of BX cable each 23 feet long equal

8 x 23 = 184 feet of cable needed.

Seven pieces of BX cable each 18 inches long equals 7 x 1.5 = 10.5

feet of cable needed.

Twelve pieces of BX cable each 24 inches long equals

12 x 2 = 24 feet of cable needed.

Twenty-five pieces of BX cable each 19.5 inches long equals

25 x 1.625 = 40.625 feet of cable needed.

To find the total length of BX cable required, we need to add up all these values:

184 + 10.5 + 24 + 40.625 = 259.125 feet of BX cable needed.

Therefore, the total length of BX cable required is 259.125 feet.

To know more about metal-clad cable visit:

https://brainly.com/question/31062895

#SPJ11

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

Learn more about triangle on

https://brainly.com/question/17335144

#SPJ1

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

To learn more about equivalent expression click here

brainly.com/question/24242989

#SPJ4

Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

Also, the line m and the line y = -1 aren't vertical.

pitch refers to the measure of steepness of a line on a graph. It's the rate of the perpendicular change(rise) to the vertical change(run) between any two points on the line.

given by the question.

To show that line m and line n are vertical, we need to demonstrate that the angle between them is 90 degrees. Then's one plan to do so

Find the pitch of line m and the pitch of line n using their equations.

Use the pitches to determine the product of the pitches of the two lines.

still, also the lines are vertical, If the product of the pitches is-1. still, also the lines aren't vertical, If the product isn't-1.

Then's a plan to show that line m and the line with equation y = -1 are vertical

Find the  of line m using its equation.

Note that the line y = -1 has a pitch of 0.

Use the pitches to determine the product of the pitches of the two lines.

still, also the lines are vertical, If the product of the pitches is-1. still,

If the product isn't-1.

To learn more about vertical:

https://brainly.com/question/27029296

#SPJ1

Step-by-step explanation: I hope this helps.

Answer:

Answer:

buying price = $11764.70

Step-by-step explanation:

selling price = $10000

loss = 15%

85% = 10000

100% = 10000/85 × 100

= $ 11764.70

The number of students in each bus is 21

Given data

Total number of students on the trip = 172

25 students traveled in cars

7 buses were filled

let the number students on each bus be x

number of students on the bus is gotten by

172 - 25 = 147

so 147 students travelled by bus and the total number of buses is 7.

to get the number of students in each bus we solve as follows

147 / 7 = 21

Hence each bus contains 21 students.

Read more on word problems here: https://brainly.com/question/21405634

#SPJ1

Answer:

Green parachute

Explanation:

Orange parachute

• Distance = 12 feet

• Time = 5 seconds

Rate of descent = 12/5 =2.4 feet/seconds

Green parachute

• Distance = 14 feet

• Time = 7 seconds

Rate of descent = 14/7 =2 feet/seconds

Since 2 is less than 2.4, the green parachute has a slower descent.

The divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

To find the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k, you need to take the divergence operator (∇ · F).

The divergence of a vector field in Cartesian coordinates is given by the following formula:

∇ · F = (∂Fx/∂x) + (∂Fy/∂y) + (∂Fz/∂z),

where Fx, Fy, and Fz are the x, y, and z components of the vector field F, respectively.

In this case, we have:

Fx = (5x^2 + 7 - sin(xz)),

Fy = 0, and

Fz = (5x^2 + 7 - sin(xz)).

Taking the partial derivatives, we get:

∂Fx/∂x = 10x - zcos(xz),

∂Fy/∂y = 0, and

∂Fz/∂z = 10x - zcos(xz).

Now, substituting these derivatives into the divergence formula, we have:

∇ · F = (10x - zcos(xz)) + 0 + (10x - zcos(xz)).

Simplifying further, we get:

∇ · F = 20x - 2zcos(xz).

Therefore, the divergence of the vector field F(x, y, z) = (5x^2 + 7 - sin(xz))i + 0j + (5x^2 + 7 - sin(xz))k is 20x - 2zcos(xz).

Learn more about divergence at https://brainly.com/question/32669520

#SPJ11

Answer:

[(5z+3 -3z)5z+3 - 3z

combine 5z and _3z to get 2z

(2z+3)x5z +3 - 3z

use the distributive property to multiply 2z + 3 by 5

(10z + 15)z + 3 - 3z

use the distributive property to multiply 10z+15 by z

10z2+15z+3-3z

combine 15z and -3z to get 12z

10z2+12z+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

4z - 15 = 4z+11

Subtract 4z from each side

4z-15-4z = 4z+11-4z

-15 = 11

This is not a true statement so there are no solutions

Answer:

No solutions.

Step-by-step explanation:

4z-15=4z+11  Subtract 4z from both sides.

-4z      -4z

-15=11             This statement is not true; therefore, there are no solutions.

Hope this helps you out! Have a wonderful day (｡･∀･)ﾉﾞ