32-?-10+4=16 what is the missing number?

Step-by-step explanation:

We have (n + 2)/5 = 14.

=> (n + 2) = 14 * 5 = 70 (multiply 5 on both sides)

=> n = 70 - 2 = 68. (subtract 2 on both sides)

Hence the number n is 68.

Answer:

Step-by-step explanation:

2/10=.2, 6.2

6.2×6=37.2

37.2+6.2= 43.4

43.4= 43\(\frac{4}{10}\)

Answer:

$3534.9216

Step-by-step explanation:

1.6% of 3,592.40 = 57.4784

3,592.40 - 57.4784 = 3534.9216

The magnetic field generated by the wires at the point (x=4m, y=4m) carrying identical currents of 90A out of the page is 2.50 x \(10^{-6\) T or 2.50 μT.

Hence option b is correct.

According to the given information,

We can use the Biot-Savart Law to calculate the magnetic field generated by these wires at the given point.

Using the formula, we get:

B = (μ0/4π) I [(sinθ1 + sinθ2) / 2] / d,

Where,

μ0 is the permeability of free space (4π x \(10^{-7}\) T m/A),

I is the current (90 A),

θ1 and θ2 are the angles between the wire and the vector pointing from the wire to the given point,

And d is the distance between the wires (8 m).

To find θ1 and θ2, we can use Trigonometry:

θ1 = sin inverse (y/d)

   = sin inverse (4/8) = 30°

θ2 =  sin inverse [(y-d)/d]

     =  sin inverse [(4-8)/8]

     = -30°

Substituting these values into the formula, we get:

B = (4π x \(10^{-7}\) T m/A) 90 A [(sin30° + sin(-30°)) / 2] / 8 m

B = 2.50 x \(10^{-6\)  T

   = 2.50 μT

Therefore, the correct option is (b) 2.50 x  \(10^{-6\)  T (or 2.50 μT).

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The complete question is attached below:

Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables.

These equations are used to model a wide range of physical, biological, and chemical processes. The seventh edition of Fundamentals of Differential Equations and Boundary Value Problems by R. Kent Nagle, Edward B. Saff, and Arthur David Snider is a comprehensive textbook that covers the fundamentals of these equations.Differential equations and boundary value problems are mathematical equations that contain derivatives of unknown functions and their variables.  It includes topics such as first order equations, higher order linear equations, systems of equations, Laplace transforms, Fourier series, and numerical methods. It also contains a variety of worked examples, exercises, and applications to help students understand the material. Examples include solving initial value problems, boundary value problems, and inverse problems. The book also provides a step-by-step approach to solving problems, including the use of formulas such as the Euler-Cauchy formula, the Picard-Lindelof formula, the Runge-Kutta formula, the Laplace transform, and the Fourier series.

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Complete question:

Find the solution to the differential equation dy/dx + 4y = 0, given the boundary values y(0) = 2 and y(2) = 0.

c) You travel about 50 miles per hour.

d) You were 15 miles from home when you started.

e) After 7 hours, you will be 365 miles away from home.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

When x = 0, y = 15, hence the intercept b is given as follows:

b = 15.

In six hours, the distance increased by 300 miles, hence the slope m is given as follows:

m = 300/6 = 50.

Hence the equation is:

y = 50x + 15.

After seven hours, the predicted distance is given as follows:

y = 50(7) + 15 = 365 miles.

The points on the line are:

(0,15) and (6, 315).

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Answer:

11

Step-by-step explanation:

26=7(g-9)+12

14=7(g-9)

2=g-9

g=11

The total cost of manufacturing 600 yards of ribbon is approximately $-3,339.84.

We are given that the marginal cost of producing x yards of fancy ribbon is given by:

C'(x) = -0.00002x^2 - 0.04x + 32 for x ≤ 600

where C'(x) is in cents.

To approximate the total cost of manufacturing 600 yards of ribbon, using 5 subintervals over [0, 600] and the left endpoint of each subinterval, we have to use the Left Riemann Sum.

The left endpoint of each subinterval is given as:

Subinterval 1: 0

Subinterval 2: 120

Subinterval 3: 240

Subinterval 4: 360

Subinterval 5: 480

Width of each subinterval: (600 - 0) / 5 = 120

So,Δx = 120

We can use the Left Riemann Sum to approximate the total cost of manufacturing 600 yards of ribbon.

It is given by:∑i=1nΔxC′(xi)where, n is the number of subintervals.

So, the total cost of manufacturing 600 yards of ribbon can be approximated as:∑i=1nΔxC′(xi)= Δx [C′(0) + C′(120) + C′(240) + C′(360) + C′(480)]

Substituting the given values and solving further, we get:∑i=1nΔxC′(xi)

                             = 120 [-0.00002(0)^2 - 0.04(0) + 32 + (-0.00002(120)^2 - 0.04(120) + 32) + (-0.00002(240)^2 - 0.04(240) + 32) + (-0.00002(360)^2 - 0.04(360) + 32) + (-0.00002(480)^2 - 0.04(480) + 32)]

∑i=1nΔxC′(xi)= 120 (32 - 345.6 - 627.2 - 844.8 - 998.4)

∑i=1n

ΔxC′(xi)= 120 (-2783.2)

∑i=1n

ΔxC′(xi)= -333984

Rounding to the nearest cent, the total cost of manufacturing 600 yards of ribbon is approximately $-3,339.84.

Hence, The total cost of manufacturing 600 yards of ribbon is approximately $-3,339.84.

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Answer: they make 808,112 dollars off of warranties

Step-by-step explanation:

Answer:

its

Step-by-stCep explanation: I took the test

Answer:

No

Step-by-step explanation:

When working with negative numbers in terms of depth, greater depth are depicted by values as we move farther to the left of the number line.

With this in mind, - 75 feets is farther to the left of the number line and as such represents a greater depth value Than - 68 feets

Therefore, when expressing depth or elevation distances, the values should be iewwd in absolute terms. Then |75| > |68|. While bearing in mind that depth is downward and thus negative

Answer:

Step-by-step explanación

0.02

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

\(y = -7628+325.5x\)

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

\(y = -7628+325.5 \times 60\)

Evaluate the product

\(y = -7628+19530\)

Add -7628 and 19530

\(y = 11902\)

Hence, the model predicts that the mean home attendance will be 11902

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In a case whereby a ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the time the ball is thrown will it strike the​ ground at t = 2.5 or -3.5.

Height of building = 140 ft

Initial velocity, u = 16 ft/sec

the equation given is

h = -16t² -16t +140

h(t) = -16t² -16t +140

AT h(t) = 0 , We can divide by -2 and have

(8t² + 8t - 70) = 0

8t² + 8t - 70 = 0

Then if we solve with quadratic equation formula where  a=8, b=8, c=- 70 then the root will be -7/2 and 5/2 then  t = 2.5 or -3.5

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complete question;

A ball is thrown downward from the top of a 140​-foot building with an initial velocity of 16 feet per second. the height of the ball h in feet after t seconds is given by the equation h equals negative 16 t squared minus 16 t plus 140. how long after the ball is thrown will it strike the​ ground?

Answer:

36x+4

hopes this helps

Answer:

Explanation:

4 ( 1 + 9x)

4 + 36x

The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Answer:

The variable k changes as the focal point of the circle moves vertically.

Step-by-step explanation:

Answer:  The variable k changes as the center of the circle moves vertically. The sign of k is positive when the center is below the x-axis and negative when it is above the x-axis. The sign of the variable k flips when the center moves across the x-axis.

Step-by-step explanation: plato/edmentum answer!

hope this helps! :)

Answer:

Mean:

10.5+9.2+0+9.3+10.4+9.2=48.6

48.6 divded by 6 =8.1

Median is 9.3

Mode is 9.2

Step-by-step explanation:

The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope. The equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2) is given by option D: y = -2x.

To determine which equation represents a line perpendicular to y = -2x + 4 and passes through the point (4, 2), we need to consider the slope of the given line. The equation y = -2x + 4 is in slope-intercept form (y = mx + b), where the coefficient of x (-2 in this case) represents the slope of the line.

Since we are looking for a line that is perpendicular to this given line, we need to find the negative reciprocal of the slope. The negative reciprocal of -2 is 1/2. Therefore, the slope of the perpendicular line is 1/2.

Now, we can use the point-slope form of a line to find the equation. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the given point and m is the slope.

Substituting the values (4, 2) for (x₁, y₁) and 1/2 for m, we get:

y - 2 = (1/2)(x - 4).

Simplifying this equation, we find:

y - 2 = (1/2)x - 2.

Rearranging the terms, we obtain:

y = (1/2)x.

Therefore, option D, y = -2x, represents the equation of the line that is perpendicular to y = -2x + 4 and passes through the point (4, 2).

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Here the expression is

\(\\ \tt\longmapsto x+2(-1)=5(-1)\)

\(\\ \tt\longmapsto x-2=-5\)

\(\\ \tt\longmapsto x=-5+2\)

\(\\ \tt\longmapsto x=-3\)

Answer:

x=-3

Step-by-step explanation:

x+2(-1)=5(-1)

x-2=-5

x=-5+2

=-3

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

%change=100(101920-91000)/(91000)

%change=12%

There is exactly one more real solution or there is exactly one more complex solution

Given,

One solution to a quadratic equation is x = -5/3

We have to find the correct statements from the given ones;

A polynomial of degree two is a quadratic equation.

This implies that a polynomial has two solutions.

We already have an answer to the query, which is a true root.

Then, the additional response that we lack can appear in the form of two responses.

It may be a real root or a complicated root, depending on the situation.

The following is the response to this query:

There is exactly one more real solution or there is exactly one more complex solution

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The bank account balance is decreasing by a constant fraction each month, which is characteristic of an exponential function.

An exponential function is a function of the form f(x) = a * b^x, where a and b are constants. The function f(x) increases or decreases by a constant factor each time x increases by 1.

In the case of the bank account, the balance is decreasing by a constant fraction each month. This means that the function that represents the bank account as a function of time is an exponential function.

The constant fraction that the bank account balance is decreasing by can be found by calculating the ratio of the balance in two consecutive months.

For example, the ratio of the balance in month 2 to the balance in month 1 is 2880/3600 = 0.8. This means that the bank account balance is decreasing by a factor of 0.8 each month.

The function that represents the bank account as a function of time can be written as f(x) = 3600 * (0.8)^x, where x is the month.

Here is a table of the bank account balance and the function f(x):

Month Balance f(x)

1 3600 3600

2 2880 2880

3 2304 2304

4 1843.2 1843.2

5 1474.56 1474.56

As you can see, the function f(x) matches the bank account balance very closely. This means that the bank account balance is indeed an exponential function.

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Answer:

Step-by-step explanation:

To find the equation of the circle, we need to first find the center and radius.

We can start by finding the midpoint of the segment connecting the two given points, (-4, 2) and (2, 6):

Midpoint = ((-4+2)/2, (2+6)/2) = (-1, 4)

So, the center of the circle is (-1, 4).

Next, we can find the distance between the center and one of the given points, say (-4, 2), using the distance formula:

distance = sqrt[(-4 - (-1))^2 + (2 - 4)^2] = sqrt[9 + 4] = sqrt(13)

So, the radius of the circle is sqrt(13).

Therefore, the equation of the circle is:

(x + 1)^2 + (y - 4)^2 = 13.

Two triangles are congruent if all three pairs of corresponding sides are equal. Two pairs of corresponding sides and the corresponding angles between them are equal.

To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.

Meaning of congruent:

In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.

Two triangles are congruent:

In the case of triangles two factors should be considered:

1) Lengths of each side are equal.

2) Angles are equal.

This means that to determine if the triangles are congruent, we must measure each side and angle and make sure these are the same in each triangle.

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Answer:

yes you are right it is yes

Step-by-step explanation:

9514 1404 393

Answer:

  J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Rajiv can save 4.5 dollars by buying his 90 light bulbs from the United States.Answer: $4.5.

To solve this problem, we need to calculate the cost of buying 90 light bulbs from Germany and the United States and then compare the costs to find out how much Rajiv can save by buying the bulbs from the United States.Given data are,Pack of 6 light bulbs costs 33 euros in Germany.Pack of 3 light bulbs costs 18 dollars in the United States.Exchange rate is 1 euro = 1.1 dollars.

Let's solve for the cost of buying 90 light bulbs from Germany:In 1 pack, there are 6 bulbs.So, in 15 packs, there are 6 × 15 = 90 bulbs.Cost of 15 packs = 33 × 15 = 495 euros.Now, let's solve for the cost of buying 90 light bulbs from the United States:In 1 pack, there are 3 bulbs.So, in 30 packs, there are 3 × 30 = 90 bulbs.Cost of 30 packs = 18 × 30 = 540 dollars.Now, we need to convert 540 dollars into euros using the exchange rate of 1 euro = 1.1 dollars.540 ÷ 1.1 = 490.91 euros.So, the cost of buying 90 light bulbs from the United States is 490.91 euros.

Rajiv can save by buying his 90 light bulbs from the United States = Cost of buying from Germany – Cost of buying from the United States= 495 - 490.91= 4.09 euros ≈ 4.09 × 1.1 = 4.5 dollars.So, Rajiv can save 4.5 dollars by buying his 90 light bulbs from the United States.Answer: $4.5.

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(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

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When you ask 100 people their age and marital status, you have measured two variables. Variables are characteristics or properties that can be measured or categorized.

In this situation, the two variables that have been measured are age and marital status. Age is a quantitative variable that measures the number of years lived by each person. It is measured in years and can be discrete or continuous.

Marital status, on the other hand, is a qualitative or categorical variable. It represents the status of a person's marital life, either single, married, divorced, or widowed. Marital status is a nominal variable because it represents a category or classification, rather than a measurable value.Therefore, when you ask 100 people their age and marital status, you have measured two variables: age (a quantitative variable) and marital status (a qualitative variable).

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Answer: 50

Step-by-step explanation:

20 = 1/5

So if 10 is equal to one fifth the grade we can multiply 10 by 5 to find the other parts of the grade

Answer:

50 students

Step-by-step explanation:

10/x=20/100

Cross multiply

10(100)=20x

1,000=20x

/20.     /20

50=x

Hopes this helps please mark brainliest