The larger of two numbers is 17 more than two times the smaller number. If the
sum of the two numbers is 71, find the numbers. * i need help asap pleaseeee!!!! 20 points

Answer:

The answer is 56.33 in decimal form but in fraction form the answer is 5633/

100

Step-by-step explanation:

6.55 x 8.6

Answer:

28.4 degrees

Step-by-step explanation:

sin(theta) = 20/42. theta=arcsin(10/21)=28.43

Answer:

72

Step-by-step explanation:

Since every year she watches it 3 times, she would watch 3·24 times when she is 24. 3·24=3·20+3·4=60+12=72

Answer:

72

Step-by-step explanation:

The distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

To calculate the distance traveled during the time interval [0, 2] seconds, we need to integrate the velocity function over that interval. From part (d), we have the velocity function: v(t) = -16t + 40. To find the distance traveled, we integrate the absolute value of the velocity function over the interval [0, 2]: Distance = ∫[0, 2] |v(t)| dt. Using the given velocity function, we have: Distance = ∫[0, 2] |-16t + 40| dt.

To evaluate this integral, we need to split it into two parts based on the different intervals of the absolute value function: Distance = ∫[0, 2] (16t - 40) dt for 0 ≤ t ≤ 2. Integrating this expression, we get: Distance = [8t^2 - 40t] evaluated from 0 to 2. Plugging in the limits of integration, we have: Distance = [8(2)^2 - 40(2)] - [8(0)^2 - 40(0)]. Simplifying, we find: Distance = [32 - 80] - [0 - 0];Distance = -48. Therefore, the distance traveled in the first 2 seconds is 48 units, given the units of the velocity function.

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The number of hours to work to pay for the new computer is 111 hours

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

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

0.765x + 1.2x + 0.8x = 2.765x dollars

So your net pay will be:

10x - 2.765x = 7.235x dollars

On simplifying the equation , we get

Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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Answer: Answer is 1

Step-by-step explanation:

Answer:

y = 0.8

Step-by-step explanation:

9(0.5y + 0.4) = 5(0.1y + 1.3) + 0.3

~Distribute both sides

4.5y + 3.6 = 0.5y + 6.5 + 0.3

~Simplify right side

4.5y + 3.6 = 0.5y + 6.8

~Subtract 3.6 to both sides

4.5y = 0.5y + 3.2

~Subtract 0.5y to both sides

4y = 3.2

~Divide 4 to both sides

y = 0.8

Best of Luck!

Answer:

Option (1)

Step-by-step explanation:

We need a recursive formula.

The common ratio is 2.

So, the answer is option 1.

Answer:

15% left

Step-by-step explanation:

He had 300 to start with and spent 60% ($180) and then spent 25% ($75) so he has 15% left or $45

jamie can make more biscuits than lit.

What do you mean by ordering of numbers ?

When you put a list of numbers in order, you rank them from least to greatest or greatest to least.

An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.

Positive numbers are greater than all negative numbers.

According to the question:

lit has ingredients as

150 butter

75 cater sugar

180 plain flour

50 chocolate chip

and Jamie has ingredients as

800 butter

700 cater sugar

1000 plain flour

200 chocolate chip

As 150< 800 , so Jamie has more butter than lit

As 75 < 700 , so jamie has more cater sugar than lit.

As 180< 1000 , so jamie has more plain flour than lit.

As 50< 200 , so jamie has more chocolate chip than lit.

Therefore, jamie has all ingredients more than lit whoch means jamie can make more number of biscuits than lit.

Hence , jamie can make more biscuits than lit.

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False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

It is NLJ

Step-by-step explanation:

Trust me lol

Given:

Three complex numbers are given as (3 + 5i), (9 + 2i), and (5 – 4i)

Required:

Find their sum.

Explanation:

(3 + 5i), (9 + 2i), and (5 – 4i

We gonna add this term

(3 + 5i)+ (9 + 2i)+ (5 – 4i

=17 + 3i

Required answer:

=17 + 3i

Answer:

1200

Step-by-step explanation:

1,500-300=1200

Answer:

27

Step-by-step explanation:

3*3*3=27

The estimate of the total number of phones that needed repairing last year in Market City is given as follows:

Between 123,000 and 157,500.

The estimate is obtained applying the proportions in the context of this problem.

The confidence interval is given as follows:

1.05 ± 0.23.

Hence the bounds of the interval are given as follows:

Then the amounts out of 150,000 households are given as follows:

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Answer:

if im not mistaken its..A

Step-by-step explanation:

Single line that is the same distance from the parabola as the focus is from the parabola is Axis.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

As, A locus is a set of points satisfying a given condition.

and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.

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To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,

Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.

Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.

Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)

Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.

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A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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The points that can be on the graph are  (0, -8.9), (2, -4), (3, -1.6), and

(5, 3.4).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(2) = -4

(2, -4)

f(5) = 3.4

(5, 3.4)

The equation of the line on the graph can be y = mx + c.

m = (3.4 + 4) / (5 - 2)

m = 7.4/3

(2, -4) = (x, y)

-4 = 7.4/3 x 2 + c

-4 - 4.9 = c

c = -8.9

Now,

The equation of the line is y = 2.47x - 8.9

For x = 2, y = 2.47 x 2 - 8.9 =  = -4

(2, -4)

For x = 5, y = 2.47 x 5 - 8.9 = 3.4

(5, 3.4)

For x = 1, y = 2.47 x 1 - 8.9 = -6.4

(1, -6.4)

For x = 3, y = 2.47 x 3 - 8.9 = -1.6

(3, -1.6)

For x = 0, y = -8.9

(0, -8.9)

Thus,

The points are (0, -8.9), (2, -4), (3, -1.6), and (5, 3.4).

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The solution to the differential equation is:  y = (1/2)x^2 - 2x - e^-x + 2.

To solve the equation 2t(t-dθ/dt)=5 with the boundary condition θ=2 when t=1, we can use separation of variables. Rearranging the equation gives:

2t^2 - 5 = t^2 dθ/dt

Separating variables and integrating both sides gives:

∫(2t^2 - 5)/t^2 dt = ∫dθ

Simplifying the left side gives:

2∫dt - 5∫t^-2 dt = θ + C

Integrating and using the initial condition θ=2 when t=1 gives:

2ln|t| + 5/t + C = θ

Plugging in the initial conditions gives:

C = 2 - 2ln|1| - 5/1 = -3

Therefore, the solution to the differential equation is:

θ = 2ln|t| + 5/t - 3

To solve the differential equation 3dy/dθ + sin(0) = 0 with the boundary condition y=2/3 when θ=π/3, we first rearrange the equation as:

dy/dθ = -sin(0)/3

Integrating both sides gives:

∫dy = -1/3 ∫sin(0) dθ

Simplifying the right side gives:

y = -cos(0)/3 + C

Using the initial condition y=2/3 when θ=π/3 gives:

2/3 = -cos(π/3)/3 + C

Simplifying gives:

C = 2/3 + 1/6

Therefore, the solution to the differential equation is:

y = -cos(θ)/3 + 5/6

To solve the differential equation x - 3dy/dx = 2 + 1/e^x with the boundary condition y=1 when x=0, we can use separation of variables. Rearranging the equation gives:

3dy/dx = x - 2 - 1/e^x

Separating variables and integrating both sides gives:

∫3dy = ∫(x-2-1/e^x)dx

Simplifying the right side gives:

y = (1/2)x^2 - 2x - e^-x + C

Using the initial condition y=1 when x=0 gives:

1 = 0 - 0 - 1 + C

Therefore, the solution to the differential equation is:

y = (1/2)x^2 - 2x - e^-x + 2

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Answer:  The answer is therefore (B) y = - 2/3 x - 4.

Step-by-step explanation: To find the equation of the line in slope-intercept form, we can use the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope of the line.

In this case, we are given the points (9,2) and (3,-2). We can use either point as (x1, y1), but let's use (9,2) as the point. The slope of the line is the difference in y-values divided by the difference in x-values:

m = (y2 - y1) / (x2 - x1) = (-2 - 2) / (3 - 9) = -4/6 = -2/3

Substituting this value for m and the coordinates of (9,2) for (x1, y1) into the point-slope form of a line, we get:

y - 2 = -2/3(x - 9)

Distributing the -2/3 on the right side, we get:

y - 2 = -2/3x + 6

Adding 2 to both sides, we get:

y = -2/3x + 8

This is the equation of the line in slope-intercept form. The answer is therefore (B) y = - 2/3 x - 4.

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

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The correct statement about coping strategies is: An effective coping strategy is any strategy that reduces stress.

The correct option is B .

Coping strategies are techniques or actions that individuals use to manage or deal with stressful situations. Different strategies work for different people, so there isn't a one-size-fits-all approach. However, an effective coping strategy is any strategy that successfully reduces or manages stress.

Some examples of effective coping strategies include deep breathing exercises, engaging in physical activity or exercise, seeking support from friends or family, practicing mindfulness or meditation, and engaging in hobbies or activities that bring joy and relaxation.

It's important to note that while ineffective coping strategies may not completely eliminate stress, they can still provide temporary relief or distraction. However, it is generally recommended to focus on developing and using effective coping strategies that can effectively reduce stress and promote overall well-being.

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An effective coping strategy is any strategy that reduces stress.

The true statement about coping strategies is that an effective coping strategy is any strategy that reduces stress.

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The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

20 minutes

Step-by-step explanation:

34 times 45 secs equals 1190 secs,

since there is 60 secs in one minute you would divide,

1190/60 = 19.8333.. mins or 19 mins and 50 secs

So, the gradient of f at the point (1,2,2) is: ∇f(1,2,2) = (1/2) i + (1/4) j + (1/2) k where i, j, and k are the unit vectors in the x, y, and z directions, respectively.

To find the gradient of the function f(x,y,z) at the point (1,2,2), we need to find the partial derivatives of f with respect to x, y, and z and evaluate them at the given point.

So, we have:

f(x,y,z) = (x^2 y^2 z^2)^(-1/2) ln(xyz)

∂f/∂x = (-1/2) (x^2 y^2 z^2)^(-3/2) (2xy^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= (-xy^2 z^2)/(x^2 y^2 z^2) + (1/x) (x^2 y^2 z^2)^(-1/2)

= -y^2 z^2/(x^2 y^2 z^2) + 1/xsqrt(x^2 y^2 z^2)

= -1/(xyz) + 1/x

∂f/∂y = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 2yz^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= (-x^2 yz^2)/(x^2 y^2 z^2) + (1/y) (x^2 y^2 z^2)^(-1/2)

= -x^2/z^2 + 1/ysqrt(x^2 y^2 z^2)

= -x^2/(z^2 y) + 1/y

∂f/∂z = (-1/2) (x^2 y^2 z^2)^(-3/2) (x^2 y^2 2z) + (1/z) (x^2 y^2 z^2)^(-1/2)

= (-x^2 y^2 z)/(x^2 y^2 z^2) + (1/z) (x^2 y^2 z^2)^(-1/2)

= -x^2 y^2/(z^2 x^2 y^2) + 1/zsqrt(x^2 y^2 z^2)

= -x^2 y^2/(z^3) + 1/z

Now we can evaluate these partial derivatives at the point (1,2,2):

∂f/∂x (1,2,2) = -1/(122) + 1/1 = 1/2

∂f/∂y (1,2,2) = -1/(222) + 1/2 = 1/4

∂f/∂z (1,2,2) = -1/(122) + 1/2 = 1/2

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We can calculate the percent increase making the following calculation:

This means that the value increased 6%