Kalinda is 68.7 inches tall and wants to know how many inches taller she is than Terrence. If t represents Terrence's height in inches, which expression can she use to find the answer? 68.7 minus t StartFraction t Over 68.7 EndFraction StartFraction 68.7 Over t EndFraction t minus 68.7

The measure of angle A include the following: 146.16 degrees.

In order to determine the measure of angle A in this triangle with the side lengths given, we would have to apply the law of cosine:

C² = A² + B² - 2(A)(B)cosθ

Where:

A, B, and C represent the side lengths of a triangle.

By substituting the given side lengths into the law of cosine formula, we have the following;

112² = 52² + 65² - 2(52)(65)cosA

12544 = 2704 + 4225 - 6760cosA

6760cosA = 6929 - 12544

6760cosA = -5615

cosA = -5615/6760

cosA = -0.8306

A = cos⁻¹(-0.8306)

A = 146.16 degrees.

Read more on cosine here: brainly.com/question/11000638

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

Answer:

(3+x)+24

Step-by-step explanation:

24+(3+x)

Since addition is communitive, you could take out the parenthesis.

24+3+x

Hope this helps. Have an AWESOME night!!! :)

The probability of randomly selecting a male is dependent upon the gender distribution of the population from which the selection is made.

For example, if the population is evenly split between males and females, then the probability of randomly selecting a male would be 50%. Alternatively, if the population had more females than males, then the probability of selecting a male would be lower than 50%.

In general, the probability of randomly selecting a male is determined by the ratio of males to females in the population. For example, if there were twice as many females as males, then the probability of randomly selecting a male would be 33.3%. Similarly, if there were four times as many females as males, then the probability of randomly selecting a male would be 25%.

These probabilities can also be applied to specific populations. For example, the United States Census Bureau estimates that there are 101.8 males for every 100 females in the US population. Therefore, the probability of randomly selecting a male from the US population is approximately 50.9%.

Learn more about probability at : https://brainly.com/question/11234923

#SPJ4

The frequency of 1 is option (d) 973

Reselecting cases means selecting a subset of data that meets specific criteria. In this case, you will need to identify which cases to keep based on certain conditions. After reselecting cases, the next step is to define the variable TX + Y. This means that you will perform an operation on two existing variables, T and Y, and create a new variable that is the sum of T and Y. The result will be a numerical variable.

To summarize, you will need to follow these steps:

Reselect cases based on specific criteria.

Define the variable TX + Y as the sum of T and Y.

Recode the numerical variable into a categorical variable with two categories: G-1 İFT <= 10 and G=0 if T>10.

Calculate the frequency of category 1 in the new variable G.

Finally, to answer the question, you will need to calculate the frequency of category 1 in the variable G. This means that there are 973 cases where the value of TX + Y is less than or equal to 10.

The correct answer is option d. 973.

To know more about frequency here

https://brainly.com/question/5102661

#SPJ4

Answer: G, the initial water level was 16 ft

Step-by-step explanation:

I honestly don’t know lol I just looked up the answer on another app

Answer:

for A

the law

V=Bh or V=πr2h

I will use this V=Bh

V= 16·21

V= 336cm³

For E

the law

A= 1/2·(A + B)·H

A= 1/2·(14 + 8)·4

A= 44cm²

V= A·H

V= 44·4

V= 176 cm³

make a search for each one :

B. triangular prism volume calculator

C. pyramid prism volume calculator

D. rectangular prism volume calculator

F. cube volume calculator

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

To know more about  linear pair here

https://brainly.com/question/26355390

#SPJ1

The statement given "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions." is true because if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions

If a matrix of coefficients of a system of n linear equations in n unknowns has 0 as an eigenvalue, it implies that the homogeneous version of the system (where all constant terms are 0) has non-trivial solutions. This is because the eigenvectors associated with 0 eigenvalue form the null space of the matrix, which represents the set of all solutions to the homogeneous system.

Since the homogeneous system has non-trivial solutions, this means that the original system of equations is linearly dependent, which in turn implies that there are infinitely many solutions. This is because there are linear combinations of the given solutions that are also solutions to the system. Therefore, the statement "if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions" is true.

""

if 0 is an eigenvalue of the matrix of coefficients of a system of n linear equations in n unknowns, then the system has infinitely many solutions. true or false

""

You can learn more about matrix at

https://brainly.com/question/27929071

#SPJ11

Answer:

3456mins and answer then please send me chapters in group mam please send me 9ch and answer session in moncton with science class there was some internate problem is no number of ch arge I am Ahmad sheeban present mam Mohammed suvaid present mam Mohammed suvaid present mam I am sheeban present mam Mohammed the group of hindi in group mam please send me chapters in group mam please send this in the group of hindi writing my school van is a bout of hindi grammer ch arge I am suvaid present mam Mohammed suvaid present mam I am suvaid present mam Mohammed the group of hindi writing my school van is a bout of hindi grammer ch arge I am Ahmad sheeban present mam Mohammed the group of hindi writing my school van is a bout of hindi grammer ch arge I am Ahmad sheeban present mam Mohammed the group of hindi writing my school class there was some internate problem is no number of ch arge and the wo sb de dena aaj hindi hai Kya kr rhe the group of hindi writing my school van is a bout of hindi grammer ch arge I am Ahmad sheeban present mam Mohammed the group of hindi writing my school van is a bout of hindi

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

Learn more about point-slope formula here: https://brainly.com/question/6497976

#SPJ4

Gaussian elimination with partial pivoting can fail due to rounding errors or when a pivot element is very close to zero.

Without knowing the specific system of equations, it is not possible to determine at what point the Gaussian elimination process with partial pivoting would fail using exact arithmetic.

In the latter case, the algorithm can fail to find a suitable pivot and the elimination process can become unstable. This is known as a singularity or numerical instability.

To prevent this, in practice, pivoting strategies are used to avoid dividing by small or zero pivot elements. Additionally, high-precision arithmetic can be used to reduce the impact of rounding errors.

For more similar questions on Gaussian elimination:

https://brainly.com/question/13266528

#SPJ11

The graph of g(x) = 3x3 + 6 differ from the graph of its parent function f(x) = x3 by:

Vertical stretch is a type of transformation that changes the vertical size of a function's graph. Specifically, it stretches or compresses the function vertically.

When a function is vertically stretched, the distance between the function and the x-axis is increased. This means that the function's output values (y-coordinates) are multiplied by a factor greater than 1 (IN this case the factor is 3). As a result, the function becomes "taller" or "stretched" vertically.

The graph of g(x) = 3x^3 + 6 differs from the graph of its parent function f(x) = x^3 due to the following transformations:

Adding 6 translates the graph 6 units.

The leading coefficient, 3, stretches the graph vertically.

The graph is attended

Learn more about graph at:

https://brainly.com/question/19040584

#SPJ1

complete question

How does the graph of g(x) = 3x^3 + 6 differ from the graph of its parent function f(x) = x3? Select all the transformations.

Adding 6 translates the graph right 6 units.

The leading coefficient, 3, translates the graph up 3 units.

The leading coefficient, 6, compresses the graph vertically.

Adding 6 translates the graph up 6 units.

The leading coefficient, 3, stretches the graph vertically.

Answer:

blue line : y = 3

black horizontal line : y = 0

black vertical line : x = 0

Step-by-step explanation:

it is really simple.

blue line : no matter what value we pick for x, the functional value for y is always 3. and that defines the equation y = 3 + 0*x or simply y = 3.

the same with the black horizontal line. the difference is that y is now always 0. so, y = 0.

The stochastic process for the function G = G(S, t) is given by:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\]\)

The stochastic process for G^2 is given by:

\(\[d(G^2) = \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt + 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2\]\)

Let us now analyze each section in a detailed way:

i) Using Ito's lemma, we can find the stochastic process \($dG$\) followed by \($G^2$\) as follows:

Applying Ito's lemma to \($G(S, t)$\), we have:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2.\]\)

For \($G = G(S, t)$\), the first term \($\frac{\partial G}{\partial t}dt$\) is straightforward as it is the partial derivative of \($G$\) with respect to \($t$\) multiplied by \($dt$\).

The second term \($\frac{\partial G}{\partial S}dS\) can be obtained by taking the partial derivative of $G$ with respect to \($S$\) and multiplying it by \($dS\).

The third term \($\frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\) involves the second partial derivative of \($G$\) with respect to \($S$\), and it is multiplied by \($(dS)^2\).

ii) To find the stochastic process for $G^2$, we substitute $G = G(S, t)$ into the equation derived above:

\(\[d(G^2) = 2GdG + (dG)^2.\]\)

Expanding and substituting the value of $dG$, we get:

\(\[d(G^2) = 2G\left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right) + \left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right)^2.\]\)

Simplifying the above expression, we can write:

\(d(G^2) &= \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt &\quad+ 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2.\)

The above equation represents the stochastic process for $G^2$.

To know more about Ito's lemma , refer here:

https://brainly.com/question/30759610#

#SPJ11

The marginal cost function at x = 10 is 90/103 dollars.

The marginal cost function is the derivative of the cost function with respect to x. To find the marginal cost function, we will take the derivative of the cost function c(x) = √(9x^2 + 1600) using the chain rule.

First, we will find the derivative of the inside function:

d/dx (9x^2 + 1600) = 18x

Next, we will find the derivative of the outside function:

d/dx √(u) = (1/2)u^(-1/2)

Now, we will apply the chain rule:

mc(x) = d/dx c(x) = d/dx √(9x^2 + 1600) = (1/2)(9x^2 + 1600)^(-1/2) * 18x

Simplifying, we get:

mc(x) = (9x)/(√(9x^2 + 1600))

To evaluate the marginal cost function at x = 10, we will plug in 10 for x:

mc(10) = (9*10)/(√(9*10^2 + 1600)) = 90/√(9000 + 1600) = 90/√(10600) = 90/103

Know more about marginal cost here:

https://brainly.com/question/12231343

#SPJ11

1% growth has a multiplier 1+0.01=1.01

What is exponential growth function ?

A process called exponential growth sees a rise in quantity over time. When a quantity's derivative, or instantaneous rate of change with respect to time, is proportionate to the quantity itself, this phenomenon takes place.

The exponential function which models the exponential growth has a form

\(y= C(1+r)^x\)

where C is initial amount, y is final amount, x is time, r is rate (the percent written as a decimal) and 1+r is a multiplier.

The exponential function which models the exponential decay has a form

\(y= C(1-r)^x\)

where C is initial amount, y is final amount, x is time, r is rate (the percent written as a decimal) and 1-r is a multiplier.

Thus,

1. 1% growth has a multiplier 1+0.01=1.01;

To learn more about the exponential growth function from the given link

https://brainly.com/question/13223520

#SPJ1

Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer:

A) 14/6

Step-by-step explanation:

1 5/6 = 1 + 5/6 = 6/6 + 5/6 = 11/6

1/2 = 3/6

then:

1 5/6 + 1/2 = 11/6 + 3/6 = 14/6

Answer:

The best place for your neighbour to put the bird bath would be at the centroid of the triangular yard. The centroid is the point where the three medians of a triangle meet, and it is also the point that is equidistant from all three sides of the triangle. This way the bird bath will be the same distance from each edge of the yard, which is what your neighbour wants. To find the centroid, your neighbour can first draw the medians of the triangle and then find their intersection point.

Answer:

7/12 for white sock. 5/12 black sock. 1/4 navy

Step-by-step explanation:

(white) 24-10=14 so then 14/24=7/12

(black) 10/24=5/12

(navy) 6/24=1/4

Answer:9/5

Step-by-step explanation:

Answer:

we have

tan ø=perpendicular/base

tan30=3/y

y=3/tan30

y=3√3 is your answer

The set 2X has 35 elements. we will first define 2X. 2X means "the set of all subsets of X." Thus, if Y is a subset of X, then Y is an element of 2X.

The set X is given by `X = {1, {∅}, ∅, {2, 3}}`. Now we have to find the elements of the set 2X.To do this we will first define 2X. 2X means "the set of all subsets of X." Thus, if Y is a subset of X, then Y is an element of 2X.We know that the elements of X are `1`, `{∅}`, `∅`, and `{2, 3}`. Let's find all the subsets of X (including the empty set):1. The empty set `{}`2. `{1}`3. `{∅}`4. `{∅, 1}`5. `{∅, {∅}}`6. `{∅, ∅}`7. `{∅, {2, 3}}`8. `{1, {∅}}`9. `{1, ∅}`10. `{1, {2, 3}}`11. `{∅, {∅}, 1}`12. `{∅, {∅}, ∅}`13. `{∅, {∅}, {2, 3}}`14. `{∅, ∅, {2, 3}}`15. `{1, {∅}, ∅}`16. `{1, {∅}, {2, 3}}`17. `{1, ∅, {2, 3}}`18. `{∅, {∅}, 1, ∅}`19. `{∅, {∅}, 1, {2, 3}}`20. `{∅, {∅}, ∅, {2, 3}}`21. `{∅, {2, 3}, 1, ∅}`22. `{∅, {2, 3}, 1, {∅}}`23. `{∅, {2, 3}, ∅, {∅}}`24. `{1, {∅}, ∅, {2, 3}}`25. `{∅, {∅}, 1, ∅, {2, 3}}`26. `{∅, {∅}, 1, {∅}, {2, 3}}`27. `{∅, {∅}, ∅, {2, 3}, 1}`28. `{∅, {2, 3}, 1, ∅, {∅}}`29. `{∅, {2, 3}, ∅, {∅}, 1}`30. `{1, {∅}, ∅, {2, 3}, {∅}}`31. `{∅, {∅}, 1, ∅, {2, 3}, {∅}}`32. `{∅, {2, 3}, 1, ∅, {∅}, {∅}}`33. `{1, {∅}, ∅, {2, 3}, {∅}, {∅}}`34. `{∅, {∅}, 1, ∅, {2, 3}, {∅}, {∅}}`35. `{1, {∅}, ∅, {2, 3}, {∅}, {∅}, {∅}}`Thus, the set 2X has 35 elements.

Learn more about set here:

https://brainly.com/question/30705181

#SPJ11

Answer:

Ok So From What You Said I Calculated This:

1:00-2:00

cars=c, trucks=t

answer=a

c x 3 = a

a÷3=t

Step-by-step explanation:

Answer:Ok So From What You Said I Calculated This:

1:00-2:00

cars=c, trucks=t

answer=a

c x 3 = a

a÷3=t

Step-by-step explanation: I rlly hope this helps please mark brainliest thanks for the points! please tell meif im wrong have a good day night!! :)