Solve the following one-step equations using inverse operations.

1) X + 6 = 13

X =

2) Y - 5 = 22

Y =

3) 8M = -72

M =

4)

E =


Simplify the following problems by combining like terms.

5) 5x + 9 - 2x - 7 =



Simplify the following problem by using the Distributive Property.

6) -5(x + 8) =


Simplify the following problem by Factoring.

7) 10w - 20 =

Answer:

9/25 = 36%

Step-by-step explanation:

First add up all of the students (150)

Then divide 54 by 150, 0.36

0.36 = 36% = 9/25

The name of the segment inside the large triangle is called the: 3. angle bisector.

The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.

The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.

A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.

Therefore, we can state that the name of the segment is: 3. angle bisector.

Learn more about the angle bisector on:

https://brainly.com/question/24334771

#SPJ1

Answer:

40

Step-by-step explanation:

By spending10% less ,she saved $10,which was equal to 25%

Joyce's pocket money for each month is $140.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Joyce was given a fixed amount of pocket money each month.

In January, she spent $100 and saved the rest.

In February, she spent 10% less,

Spent = 10% of $100 = $10

And her saving increased by 25%.

Savings : 25% = $10

              100% = $40

Total :  $100 + $40 = $140

Therefore, the total money is $140.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

The differential equation to be solved is Nxy - 0.5ye-0.1x for osx54 with y(0) = 6.5 dx. This can be solved using Euler's method in MATLAB.

Follow the steps below.

Step 1: Create a function file - The differential equation needs to be defined in a function file first. Let's create a function file named "odefun.m".function dydx = odefun(x,y)

dydx = N*x*y - 0.5*y*exp(-0.1*x);

where N is a constant value that needs to be defined.

Step 2: Define the given values - Define the given values such as N, initial value y(0), and step size dx.

N = ...; %

Define N herey 0 = 6.5; %

Define initial value of y here. dx = ...; %

Define step size here

Step 3: Use Euler's method to solve the differential equation - Now, use Euler's method to solve the differential equation using a for loop. The MATLAB code is as follows: x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); %

Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end

Step 4: Plot the solution - Finally, plot the solution using the MATLAB command plot(x,y).

The complete MATLAB code is given below:

N = ...; %

Define N here y0 = 6.5; %

Define initial value of y here dx = ...; %

Define step size here x = 0:dx:54; %

Define range of x values here y = zeros(size(x)); % Initialize y as a vector of zeros y(1) = y0; %

Assign initial value of y to y(1) for i = 1: length(x)-1 dydx = odefun(x(i),y(i)); y(i+1) = y(i) + dydx*dx; end plot(x,y)

The plot of the solution will be displayed.

Learn more about differential equation visit:

brainly.com/question/32645495

#SPJ11

Answer:

$2.20

Step-by-step explanation:

The tip is 10% of $22, or 0.1 * 22 = 2.2

So $2.20 (we can add a hidden 0 on the end)

Answer:

6x+5/4

Step-by-step explanation:

Answer:

To one decimal place, x = 32.4 cm

Step-by-step explanation:

We can find x by first finding the middle length using the triangle on the right,

let the middle length be c

for the triangle on the right,

hypotenuse = 50 cm

base = 20 cm

Using the Pythagorean theorem,

\((hypotenuse)^2=(base)^2+(height)^2\)

Putting values, we get,

\(50^2 = 20^2+c^2\\c^2 = 50^2-20^2\\c^2=2500-400\\c^2=2100\\c=10\sqrt{21}\)

so, c = 10(sqrt(21))

For the triangle on the left

Now,

For the triangle on the left, the middle length is the hypotenuse,

and we see that both the base and the height are equal (from the small dashes on these sides). i.e base = height = x

So, applying the theorem, we get,

\(c^2 = x^2+x^2\\c^2=2x^2\\(10\sqrt{21})^2=2x^2\\ 2100=2x^2\\2100/2=x^2\\1050 = x^2\\x= 5\sqrt{42}\)

Now, to 1 decimal place, x is,

x = 32.4 cm

Katherine will make a profit of $100.

To calculate the profit, we need to calculate the total revenue and the total cost. The total cost includes the cost of growing flowers, and the total revenue includes the amount from selling the flowers as well as the money made from piano lessons.The total cost is given by the sum of the cost of planting seeds and growing flowers.

Cost of planting seeds = $50

Total hours spent in planting seeds = 5

Cost of growing flowers = 0 (because the problem doesn’t state how much it costs to grow flowers)

Total Cost = Cost of planting seeds = $50

The total revenue is given by the sum of the money earned from selling the flowers and the money earned from giving piano lessons.

Money earned from selling flowers = $150

Money earned from piano lessons = 0 (because it is not mentioned in the problem)

Total Revenue = Money earned from selling flowers = $150

Total profit is given by the difference between total revenue and total cost.

Profit = Total Revenue - Total Cost = $150 - $50 = $100

Therefore, A profit of $100 is made by Katherine.

To know more about profit: https://brainly.com/question/1078746

#SPJ11

Answer:

y = 2 - \(x^{2}\)

Step-by-step explanation:

\(x^{2}\) results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

Let f(x,y) = e2cosy. Find the quadratic Taylor polynomial about (0,0). = + . 8 8 5. Let f(x, y) = xy. for the function f(x, y) = xy, the critical point is (0, 0), and it is classified as a saddle point.

To find the quadratic Taylor polynomial about (0,0) for the function f(x, y) = e^(2cos(y)), we need to find the first and second partial derivatives of the function at (0,0).

The first partial derivatives are:

∂f/∂x = 0

∂f/∂y = -2e^(2cos(y))sin(y)

The second partial derivatives are:

∂²f/∂x² = 0

∂²f/∂y² = -4e^(2cos(y))sin(y) - 4e^(2cos(y))cos²(y)

The mixed partial derivative is:

∂²f/∂x∂y = 4e^(2cos(y))sin(y)cos(y)

To obtain the quadratic Taylor polynomial, we evaluate the function and its derivatives at (0,0) and plug them into the general quadratic polynomial equation:

P(x, y) = f(0, 0) + ∂f/∂x(0, 0)x + ∂f/∂y(0, 0)y + 1/2 * ∂²f/∂x²(0, 0)x² + ∂²f/∂y²(0, 0)y² + ∂²f/∂x∂y(0, 0)xy

Plugging in the values, we get:

P(x, y) = 1 + 0x + 0y + 0x² - 4y² + 0xy

Simplifying, we have:

P(x, y) = 1 - 4y²

Therefore, the quadratic Taylor polynomial about (0,0) for the function f(x, y) = e^(2cos(y)) is P(x, y) = 1 - 4y².

For the function f(x, y) = xy, to find the critical points, we need to set both partial derivatives equal to zero:

∂f/∂x = y = 0

∂f/∂y = x = 0

From the first equation, y = 0, and from the second equation, x = 0. Thus, the only critical point is (0, 0).

To classify the critical point, we can use the second partial derivative test. However, since we only have one critical point, the test cannot be applied. In this case, we need to examine the behavior of the function around the critical point.

Considering the function f(x, y) = xy, we can see that it takes the value of zero at the critical point (0, 0). However, there is no clear trend of local maxima or minima in the vicinity of this point. As a result, we classify the critical point (0, 0) as a saddle point.

In summary, for the function f(x, y) = xy, the critical point is (0, 0), and it is classified as a saddle point.

Learn more about Taylor polynomial here:

https://brainly.com/question/32073784

#SPJ11

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

The Bakhshali Manuscript reveals an alternate method for calculating nonperfect squares used in ancient India around 400 CE. To find the approximate value of a nonperfect square, we can follow these steps:

The Bakhshali Manuscript provides insights into ancient Indian mathematical techniques, including a method for calculating nonperfect squares. To illustrate this method, let's consider finding the approximate value of a nonperfect square.

First, we need to identify the nearest perfect square that is smaller than the given number. In this case, the nearest perfect square less than 22 is 16, whose square root is 4.

Next, we add the square root obtained in the previous step (4) to the given number (22). This gives us 26.

Then, we calculate one-half times the square of the given number (22) and divide it by the value obtained in the previous step (26). This results in 4.75.

Finally, we subtract the value obtained in the previous step (4.75) from the value obtained in step two (26). The result is approximately 21.25. Therefore, the approximate value of the nonperfect square is 21.25.

This method, found in the Bakhshali Manuscript, provides an ancient technique for estimating the values of nonperfect squares in India during the 4th century CE.

Learn more about square root here: https://brainly.com/question/29286039

#SPJ11

Answer:

160 degrees Fahrenheit for 15 seconds

Step-by-step explanation:

Conventionally, milk is pasteurized, or heated at high temperatures to kill harmful germs, at roughly 160 degrees Fahrenheit for 15 seconds. While pasteurization kills most germs, it does not wipe out bacterial spores, the dormant versions of the germs, which are extremely resistant to any form of destruction.

Answer:

160⁰ and 15 minutes can the germs canbe die and the milk can be so clean

Answer:

idk if this is what you wanted or not, but I will tell you the feet per second, because that is what it sounds like you want: The truck travels 18 feet every second

Step-by-step explanation:

all you have to do is divide 108 by 6, and the answer is 18 equation:

108 / 6= 18

Answer:

<JKL=123

Step-by-step explanation:

57+57=114

360-114=246

246/2=123

<JKL=123

Answer:

angle JKL=123 degrees

Step-by-step explanation:

since sides of a rhombus are parallel, angle JKL is supplementary to angle KJM (or same side interior) so angle JKL is 180-57=123 degrees

Answer:

Step-by-step explanation:

y = -2x - 7

-y = 2x - 13  

y = -2x + 13

parallel

a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

Learn more about graphs at:

https://brainly.com/question/19040584

#SPJ1

The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

You can learn more about optimal mix at: brainly.com/question/30629565

#SPJ11

Answer:

m=-8

Step-by-step explanation:

14m-7m=-56

7m=-56

m=-8

i think... :)

Answer:

m=-8

Step-by-step explanation:

14m-7m= -56 -----> Combine like terms

7m=-56 ------> Divide -56 by 7

m= -8

I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Sorry if it is wrong.

Answer:

I don't really understand the question and what they're wanting so sorry

Step-by-step explanation:

Answer:

It's the third one for edgen2020!

Step-by-step explanation:

Answer:

it's the third one

Step-by-step explanation:

I just took the test on edg2020 and got it right. I hope this helps you guys.

Answer:

768

Step-by-step explanation:

let C represent cost and w weight, then the equation relating them is

C = kw² ← k is the constant of variation

To find k use the condition w = 20, C = 4800, that is

4800 = k × 20² = 400k ( divide both sides by 400 )

12 = k

C = 12w² ← equation of variation

When w = 8, then

C = 12 × 8² = 12 × 64 = 768

Answer:

no that is just impossible to get the same for each

Step-by-step explanation:

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

Learn more about test statistic here:

https://brainly.com/question/31746962

#SPJ11

False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

Learn more about  statistic here:

https://brainly.com/question/32201536

#SPJ11

Step 1:

Write the two equations

x - y = 2 Equation 1

x + 4y = -3 Equation 2

Step 2:

From equation 1 , make x subject of the formula and substitute in equation 2.

Step 3:

Substitute x = 2 + y in equation 2

Step 4

Substitute y = -1 in x = 2 + y to find x

x = 2 - 1

x = 1

Final answer

x = 1 , y = -1

Equation: x - y = 2x + 4y = -3 x - y = -3 Equations 1st and 2 (x - y = -3) 2 equations 1 2x - 2y = -6 equation 1 -(2x + 4y = -3) equation 2 are obtained.

In the second equation, 2x - 2y = -6, 2x -4y = 3, 6y = 3, and 6y = -3/-6 = 1/2.

2x + 4y = -3 , 2x + 4×1/2 = -3

2x +2 = -3 , 2x = -3 -2 , 2x = -5 ,x = -5/2

The last solution is y = 1/2 and x = -5/2.

What you want altered should go here. After that, click the button below. It's that simple!

Given the complex number:

The n n-th roots of the complex number z are given by:

We must find all the cube roots of the following complex number:

For this number, we identify:

Using the formula above with these numbers, we get:

Answer

Answer:

True

Step-by-step explanation:

The quadratic formula can be applied to any quadratic equation in the form \(ax^2+bx+c=0\) (standard form).

The quadratic formula: \(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

I hope this helps!

Answer:

its true

Step-by-step explanation:

The given function represents exponential growth, the value of a is 1 and the value of r is 0.45.

The quantity increases slowly after which the rate of change and the rate of growth increases over a period of time rapidly. This increase in growth is calculated by using the exponential growth formula.

The exponential growth formula is \(Amount = Initial value(1+\frac{r}{100} )^{\frac{t}{n}}\).

The given exponential function is \(x(t)=(1.45)^{\frac{t}{2} }\).

Now, \(x(t)=(1+0.45)^{\frac{t}{2} }\)

Compare, \(x(t)=(1+0.45)^{\frac{t}{2} }\) with \(y=a(1+r)^t\), we get

a=1 and r=0.45

Therefore, the value of a is 1 and the value of r is 0.45.

Learn more about the exponential growth and decay here:

https://brainly.com/question/13674608.

#SPJ9

Answer:

B. Your friend used the given distance as one of the leg lengths instead of the hypotenuse length.