[2(x+10)] (3x-30) what is the value of x

If expected inflation is constant and the nominal interest rate decreases by 2 percentage points, then the real interest rate "decreases by 2 percentage points."

Inflation seeks to assess the overarching impact of price fluctuations on a wide range of goods and services.

Some key features regarding the inflation are-

To know more about the inflation, here

https://brainly.com/question/21586910

#SPJ4

If the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below. See second attached image.

From the figure given below , we can see that the coordinates of the rectangle are (4,2) , (4,4) , (-2,2) , (-2,4)  .

let us name the coordinates of the rectangle  as A(4,2) , B(4,4) , C(-2,4) , D(-2,2)  .

and to dilate the rectangle by a scale factor of 1.5 with center of dilation at the origin , we multiply coordinates of the original shape with the dilation factor

so the rule to describe the dilation will be

(x,y) → (1.5x,1.5y)

Using this rule to find the new coordinates of the rectangle A'B'C'D'  .

When A = (4,2)

A' = (1.5*4,1.5*2)

A' = (6,3)

When B = (4,4)

B' = (15*4,1.5*4)

B' = (6,6)

When C = (-2,4)

C' = (1.5*(-2),1.5*4)

C' = (-3,6)

When D = (-2,2)

D'  = (1.5*(-2),1.5*2)

D' = (-3,3)

So the coordinates of the rectangle A'B'C'D' is A' = (6,3) , B' = (6,6) , C' = (-3,6) , D' = (-3,3) .

the new resulting rectangle is drawn below

Hence, if the rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation , then the resulting rectangle is shown below .

Learn more about Dilation at:

https://brainly.com/question/10253650

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

Use the drawing tool(s) to form the correct answer on the provided graph.

The rectangle shown is dilated by a scale factor of 1.5 with the origin as the center of dilation.

Draw the resulting rectangle. See attached image.

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

6%

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

30 = 500r

r = 3/50 or 6/100 which is 6%

12 People plan to visit the art museum only.

What is Set Theory?

We study sets and their characteristics in the area of mathematical logic known as set theory. A set is a collection of things or a group of things. These things are frequently referred to as elements or members of a set. A set is, for instance, a group of cricket players. A set is a clearly defined collection of things or people, as we already learnt in the introduction. Numerous examples from everyday life, such as the number of rivers in India and the colors in a rainbow, can be used to relate sets.

Given,

Total no of people =116

No of people visiting any of the three places = total - people visiting none of the places

= 116 -14 = 102

No of people visiting only Gateway arch = total people visiting gateway arch - (people visiting all the three +  people visiting Gateway ans museum butnot zoo +people visiting gateway and zoo butnot museum)

= 66 - (18+9+14) = 25

Similarly, people visiting only zoo = 14

Total no of people plan to visit Art Museum only = 102 - (25+14+9+18+10+14) = 112

12 People plan to visit the art museum only.

Learn more about Set Theory, by the following link.

https://brainly.com/question/13458417

#SPJ4

Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

Answer:

D.) x = 9 is a true solution and x = negative 9 is an extraneous solution

Step-by-step explanation:

Edge 2021-2022 :)

9 is a true solution and -9 is an extraneous solution

The correct option is 4.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations.

As per the given data in the question:

The solutions of the equation \(2\log_3{x} = 4\) are:

\(x = \pm 9\)

To find that which solution is true and which is extraneous:

True Solution: The solution obtained should be inside the domain of the given function.

Extraneous Solution: The solution obtained is outside the domain of the given function.

Domain of the given function log:

[0, ∞)

So, +9 is in the domain and -9 is not in the domain.

Hence, 9 is a true solution and -9 is an extraneous solution

To learn more about equation, click:

brainly.com/question/10413253

#SPJ7

The sphere has a volume of around \(221.83\) cubic inches.

All of the points on a circle are equally spaced apart from the center along a line, whereas all of the points on a sphere are equally spaced apart from the center along any of the axis. In the case of a ring, we can only calculate the area, however for a sphere, we can compute both the surface area and the volume.

The volume of a cuboid generated by stretching the dimensions of rectangles in place is equal to: Volumes = length \(*\) width \(*\) height, for instance, if the area of a rectangles is length \(*\) breadth.

\(V = (4/3)\)π\(r^{3}\)

where \(r\)  is the radius of the sphere.

In this problem, the radius of the sphere is half the diameter, which is \(11\)inches. Therefore, the radius is:

\(r = d/2 = 11/2 = 5.5\) inches

Substituting this value into the formula for the volume of a sphere, and using the approximation π \(=3\), we get:

\(V = (4/3)\)π\(r^{3}\) \(= (4/3)(3)(5.5^{3} ) = (4/3)(3)(166.375) = 221.83 in^{3}\)

Therefore, the volume of the sphere is approximately \(221.83\) cubic inches.

To know more about sphere visit:

https://brainly.com/question/28284126

#SPJ1

We have to apply the rule of three to solve this.

We will use the equivalencies of the first row to complete the others.

The cups of flour needed are 3 cups/loaf.

The water needed is 12 tablespoons/loaf.

The salt needed 1 teaspoon/loaf.

With these equivalencies we can calculate the ingredients needed for any number of loaves:

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. The correct option is A. 34% and 26%.

According to recent data, women make up 34% and 26% of workers in science and technology (STEM) fields in Canada and the United States, respectively. This indicates that women are still underrepresented in STEM fields, despite the fact that there has been an effort to attract more women to STEM fields.

In both Canada and the United States, women have made significant progress in breaking down gender barriers in STEM fields. However, there is still work to be done to close the gender gap and increase representation of women in STEM fields.

Women's representation in STEM fields has increased in both Canada and the United States in recent years, but the percentage of women in STEM fields is still significantly lower than the percentage of men. More efforts are needed to close the gender gap in STEM fields and encourage more women to pursue STEM careers.

To know more about percentage  :

brainly.com/question/32197511

#SPJ11

Answer:

x=45

Step-by-step explanation:

subtract 45 from both sides to get

3x=135

divide both sides by 3

x=45

Answer:

45

Step-by-step explanation:

subtract 45 from both sides to get

3x=135

divide both sides by 3

x=45

Answer:

62 & 64 ............. .

An exponential decay function that models the situation is Aₙ = (900)(1-0.18)ˣ.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Joe bought a computer for $900.

The value of the computer depreciates at a rate of 18% each year.

An exponential decay function that models the situation is,

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

So,

Aₙ = (900)(1-0.18)ˣ

Therefore, the function is Aₙ = (900)(1-0.18)ˣ

To learn more about exponential decay;

https://brainly.com/question/14344314

#SPJ1

Answer:

2^5 or 32

Step-by-step explanation:

Answer:0.02275

Normal distribution:

Which is symmetrical about mean.

Mean:

It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Complement rule:

When two disjoint sets are meant to occur then the sets are said to be complementary.

Given:

Mean= 0.4 seconds

Standard deviation= 0.005 seconds

Let, X be the reaction time for the driver to view stimulus.

So, distribution of X is given by:

X~ N( 0.4, 0.005)

Where σ= 0.05 and µ= 0.4

Solving this ques by using normal standard deviation and z score given as:

z=\frac{x-µ}{σ}

Applying formula:

P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}

=P(Z > 2)

By using complement rule we get,

P(Z>2) = 1- P(Z<2)

Using normal standard table we have,

P(Z>2)=1- P(Z<2)

= 1- 0.97725

= 0.02275

To know more about normal distribution:

https://brainly.com/app/ask?q=Normal+distribution+

The probability that a reaction requires more than 0.5 seconds is 0.0227

Z-score standardization:

The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.

• If the z-score increases when it is higher than the mean (0).

• If the z-score is below the mean and takes a negative value (0).

Given that,

Mean = μ =0.4

Standard deviation = σ =0.005

The probability that a reaction requires more than 0.5 seconds is obtained by;

Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.

P(X > 0.5) = 1 - P(X < 0.5)

                = 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)

                = 1 - P(25.06)  

                = 1 - P(252)

From the “standard normal table”, the area to the left of is 0.9773.

P(X > 0.5) = 1 - P(252)

                = 1 - 0.9773

                = 0.0227

Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227

To learn more about probability click here:

brainly.com/question/11234923

#SPJ4

Answer:

A, B, E, F

Step-by-step explanation:

Answer:

A,B,E,

Step-by-step explanation:

Answer:

34 bags.

Step-by-step explanation:

15 times 25 =300 divide by 9= 33.333 but since its over 33 you would have to buy and extra one to cover the whole field so it would be 34 bags

The graph of the original triangle RST and its reflected image R'S'T' after a reflection across the line x = 2.

To graph the triangle RST and its image R'S'T' after a reflection across the line x = 2, we follow these steps:

Plot the vertices of the original triangle RST: R(2, 1), S(-2, -1), and T(3, -2) on a coordinate plane.

Draw the lines connecting the vertices to form the triangle RST.

To reflect the triangle across the line x = 2, we need to create a mirrored image on the other side of the line. This reflection will keep the x-coordinate unchanged but negate the y-coordinate.

Determine the image of each vertex R', S', and T' after the reflection:

R' is the reflection of R(2, 1) across x = 2. Since the x-coordinate remains the same, the x-coordinate of R' is also 2. The y-coordinate changes sign, so the y-coordinate of R' is -1.

S' is the reflection of S(-2, -1) across x = 2. Again, the x-coordinate remains the same, so the x-coordinate of S' is -2. The y-coordinate changes sign, so the y-coordinate of S' is 1.

T' is the reflection of T(3, -2) across x = 2. The x-coordinate remains the same, so the x-coordinate of T' is 3. The y-coordinate changes sign, so the y-coordinate of T' is 2.

Plot the reflected vertices R'(2, -1), S'(-2, 1), and T'(3, 2) on the coordinate plane.

Draw the lines connecting the reflected vertices R', S', and T' to form the triangle R'S'T'.

Now, we have the graph of RST, the initial triangle, and R'S'T, its reflected image following reflection over x = 2.

for such more question on triangle

https://brainly.com/question/17335144

#SPJ8

Answer:

37 because 37 was in the middle of all these value when placed dorm smallest ro biggest

To find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

To find v⋅u (the dot product of v and u), you can multiply the corresponding components of v and u and then add the results.

To find |v| (the magnitude or length of v), you can use the Pythagorean theorem. Square each component of v, add the results, and take the square root of the sum.

Similarly, to find |u| (the magnitude or length of u), you can use the same process as above.

To find the cosine of the angle between v and u, you can use the dot product formula: cosθ = (v⋅u) / (|v| * |u|).

To find the scalar component of u in the direction of v, you can use the formula: (v⋅u) / |v|.

Lastly, to find the vector projv u, you can use the formula: (v⋅u / |v|²) * v.

Remember to plug in the values for v and u to get the specific results for each exercise.

Know more about magnitude here:

https://brainly.com/question/31022175

#SPJ11

With the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.

A method of calculation: The most popular ones are (+, −, ×, ÷)  for add, subtract, multiply, and divide.

However, there are many more, like square roots, logarithms, and squares.

It is most likely an operation if it isn't a number.

Example: The operation in 25 + 6 = 31 is added.

So, we know that:

The store charges $747.50 to install 115 ft² of tiles.

Then, the amount that will come to install 970 ft² tiles:?

Cost of installing 1 ft² of tiles:

747.50/115

$6.5

So, the cost of installing 1 ft² of tiles: is $6.5.

Now, the cost of installing 970 ft² tiles will be:

6.5 × 970

$6,305

Therefore, with the help of simple mathematical operations, we know that the cost of installing 970 ft² will be $6,305.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ4

When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Since the population is 6,750.

The random sample is 50.

So here be like

\(6750\) ÷ \(50\) × \(9\)

= 1,215

hence, When the sample is given, the number of elk are likely to be infected is to be considered as the 1,215.

Learn more about sample here: https://brainly.com/question/24292263

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

Learn more about merchandise inventory from

https://brainly.com/question/27046371

#SPJ1

Answer:  \(j \div 8\)

We're dividing unknown number j over 8

We can write it as \(\frac{j}{8}\) similar to how \(\frac{3}{4} = 3 \div 4\)

The quotient is the result of a division problem (there may or may not be a remainder).

Hello,

If you have noticed they are all right angles, which means you can use  Pythagorean theorm.

1. a^2 = 40^2 + 9^2

= a^2 + 1600 + 81

= 1681

a^2 = 1681

sovle for "a"

a = 41

hope this helps.

Answer:

The Answer is D.

Step-by-step explanation:

It's all about pattern, you just need to conceived and organize what is the color provided.

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

For more such questions on dataset , Visit:

https://brainly.com/question/27358262

#SPJ11