A checking account was overdrawn by $7
four days in a row. By how much was the
account overdrawn?

Answer:

16m² + 4m - 6

Step-by-step explanation:

Hello There!

For this one all we need to do is combine like terms

7m²-(-9m²)=16m²

2m-(-2m)=4m

-3-3=-6

so the answer would be

16m² + 4m - 6

Answer:

23

Step-by-step explanation:

Answer:

+20+8+2-7=30-7=23

Step-by-step explanation:

The average speed rating and average satisfaction rating for the surveyed brokers are 3.1818.

Brokerage | Speed | Satisfaction

--------- | ----- | ------------

A         | 3.4   | 3.5

B         | 3.3   | 3.6

C         | 3.4   | 3.9

D         | 3.6   | 3.7

E         | 3.2   | 2.9

F         | 3.8   | 2.8

G         | 3.8   | 3.6

H         | 2.6   | 2.4

I         | 2.7   | 2.3

J         | 4.0   | 4.0

K         | 2.5   | 2.5

To analyze the survey results, we can calculate the average ratings for brokerage speed and satisfaction. Let's calculate the average ratings:

Average Speed Rating = (Sum of Speed Ratings) / (Number of Brokers)

Average Speed Rating = (3.4 + 3.3 + 3.4 + 3.6 + 3.2 + 3.8 + 3.8 + 2.6 + 2.7 + 4.0 + 2.5) / 11

Average Speed Rating ≈ 3.1818

Now, Average Satisfaction Rating = (Sum of Satisfaction Ratings) / (Number of Brokers)

= (3.5 + 3.6 + 3.9 + 3.7 + 2.9 + 2.8 + 3.6 + 2.4 + 2.3 + 4.0 + 2.5) / 11

Average Satisfaction Rating ≈ 3.1818

Therefore, the average speed rating and average satisfaction rating for the surveyed brokers are 3.1818.

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Answer:

15

Step-by-step explanation:

I attached a picture to show the work, I hope it helps!

Answer: 15

Step-by-step explanation:

The value of x is equal to 4.8 units.

In Mathematics and Geometry, the volume of a triangular prism can be determined or calculated by using the following formula:

Volume = base area × height of the prism.

Assuming the variable x represent the length of one side of its base. Since the height of this triangular prism measures 11 units and its volume measures 130.9 cubic units, the value of x can be determined as follows;

Base area of triangle = 1/2 × x × 5

Base area of triangle = 5x/2 square units.

Volume of triangular prism = base area × height of the prism.

130.9 = 5x/2 × 11

130.9/11 = 5x/2

11.9 = 5x/2

5x = 23.8

x = 4.8 units.

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Missing information:

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

Answer:

36/5 cups of rice.

Step-by-step explanation:

12x3/5 is the equation. 36/5 is the answer, which is 7 1/5 or 36/5

The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

Given that equation  \(\frac{16x+12}{2}=100\)  and asked to evaluate the value of x in the given equation

⇒ \(\frac{16x+12}{2}=100\)(given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=\(\frac{94}{8}\)(using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e \(\frac{16x+12}{2}=100\) is 11.825

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Answer: 10

Step-by-step explanation:

Answer:

The distributive property

Step-by-step explanation:

Answer:

The answer should be -2/5

Step-by-step explanation:

Hope this helps

Have a great day

Answer:

x = 0.5

x = -2

Step-by-step explanation:

Have a great day :)

Answer:

Answer:

126

Step-by-step explanation:

The area of the top triangle is (6)(6)/2 = 18 square meters.

The area of the bottom rectangle is (9)(12)=108 square meters.

Adding these, we get the total area to be 126 square meters.

A round plane figure whose boundary ( circumference) consists of the points equidistant from a fixed point (the center). In the above question Pedro was wrong.

All the points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in plane draws to keep its distance from a specific point constant.

The tactic Pedro frequently used is ineffective since applying strict transformation to one figure and then onto another will only demonstrate whether the figures are congruent, not whether they are comparable.

Keep in mind that resemblance, as opposed to congruence, is about the proportionality between the dimensions of those figures. Therefore, when we overlay the figures, they won't match.

Pedro should divide each set of matching coordinates to demonstrate similarity; if all divisions provide the same outcome, the figures are said to be comparable.

Therefore, Pedro was not wrong.

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The equation of the circles having a common external tangent is

y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).

Circles are geometric figures that round and their boundary is equidistant from a given point.

The equation of a circle with center (a, b) having radius r is given by:

(x-a)² + (y-b)² = r².

Let us assume that the first circle is C.

It is given that the center of C = (2, 4), and its radius r = 4cm.

Hence, the equation of the circle C is:

(x-2)²+(y-4)² = 4²

⇒ (x-2)²+(y-4)²-4² = 0     ......................(I)

Let us assume that the second circle is C'.

The center of C = (14, 9), and its radius r = 9 cm.

Hence, the equation of the circle C is:

(x-14)²+(y-9)² = 9²

(x-14)²+(y-9)² - 9² = 0       ......................(II)

Step 1: To find the line joining the external tangent, we need to find equation of a common external tangent to the given circles having the form y = mx+b where m < 0.

Step 2: To do this, we will equate (I) and (II).

Equating (I) and (II) we have:

(x-2)²+(y-4)²-4² = (x-14)²+(y-9)² - 9²

⇒ x² - 4x + 4 + y² - 8y + 16 - 16 = x² -28x + 196 + y² - 18y + 81 - 81

⇒ -4x + 4 - 8y = -28x + 196 - 18y

⇒ 24x + 10y = 192

⇒ 10y = - 24x+192

⇒ y = -\(\frac{24}{10}\)x + \(\frac{192}{10}\)

⇒ y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).

Hence, the equation of the circles having the common external tangent is  y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).

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Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.  The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.

Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.

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Answer:

b = - 50

Step-by-step explanation:

Using F.O.I.L (First Outer Inner Last)

-5 × - 2x = 10x

-5 × 10 = - 50

10x - 50

10x - 50 = 10x + b

10x - 10x - 50 = b

b = - 50

technologies have transformed modern management and individual behavior and decision-making in numerous ways.

Technologies have significantly impacted modern management and individual behavior and decision-making in various ways. One key aspect is the increased accessibility to data and information, enabling managers to make more informed decisions. Advanced analytics and data visualization tools allow for better analysis of complex data sets, leading to improved strategic planning and resource allocation.
Another important aspect is the enhancement of communication and collaboration among teams. Technologies such as video conferencing and project management software have facilitated a seamless flow of information across geographical boundaries. This has fostered a more inclusive and agile work environment, making it easier for managers to coordinate tasks and motivate their team members.
Additionally, automation technologies have streamlined many routine tasks, freeing up managers to focus on more strategic responsibilities. This has led to improved efficiency and productivity, allowing organizations to respond more effectively to dynamic market conditions. Moreover, artificial intelligence and machine learning can provide personalized support to individual employees, enhancing their decision-making abilities.
On the other hand, the widespread adoption of these technologies can also pose challenges. Issues related to privacy and data security have become increasingly significant, and managers must be proactive in addressing these concerns to protect their organization and employees. Furthermore, the rapid pace of technological change can lead to information overload and increased stress levels, potentially hindering individual decision-making.
While these advancements offer many benefits such as improved data analysis, enhanced communication, and increased efficiency, they also present challenges that must be addressed. It is crucial for managers to strike a balance between leveraging technology and managing potential risks to maximize the benefits for their organizations and employees.

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The surface area of the pyramid is approximately 197.15 square inches.

To find the surface area of a pyramid, we need to add the area of the base to the area of the lateral faces. For a triangular pyramid, we can break down the lateral faces into three triangles and then find the area of each triangle.

First, we need to find the area of the equilateral triangle base. Since the legs of the equilateral triangle are all 10 inches long, the altitude of the triangle can be found using the Pythagorean theorem:

a² + (8.7)² = 10²

a² = 100 - (8.7)²

a ≈ 6.43

Therefore, the area of the base is:

A₁ = (1/2)bh = (1/2)(10)(6.43) = 32.15 square inches

Next, we need to find the area of each of the three lateral faces. Each of these faces is a triangle with base equal to 10 inches (one of the legs of the equilateral triangle) and height equal to the slant height of the pyramid, which is 11 inches. Therefore, the area of each of these triangles is:

A₂ = (1/2)bh = (1/2)(10)(11) = 55 square inches

Finally, we can add up the areas of the base and the three lateral faces to get the total surface area:

A = A₁ + 3A₂ = 32.15 + 3(55) = 197.15 square inches

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Answer:

Acute

Step-by-step explanation:

Answer:

If you are finding out the lower angles they are acute but the top is right

Step-by-step explanation:

Answer:

The conclusion supported by the diagram is;

(A)  \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

Step-by-step explanation:

The question is examines the theorem that two transversals cut by three or more parallel lines are proportionally divided by the transversals

The given parallel lines are;

Line CD, line BE, and line line AB

The given transversals are;

Line AC and line DF

Therefore, by the above three or more parallel lines cutting two transversal theorem, we have;

BC/AB = ED/FE, BC/DF = AB/FE, CA/AB = DF/FE

From BC/AB = ED/FE, we find the inverse of both sides to get;

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{1}{\dfrac{ED}{FE} }\)

\(\dfrac{1}{\dfrac{BC}{AB} } = \dfrac{AB}{BC} \ and \ \dfrac{1}{\dfrac{ED}{FE} } = \dfrac{FE}{ED}\)

\(\therefore \ \dfrac{AB}{BC} = \dfrac{FE}{ED}\)

The correct option is \(\dfrac{AB}{BC} = \dfrac{FE}{ED}\)

Answer:

3.5 un

Step-by-step explanation:

to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7

this is basically dividing 24.5 by 7

24.5 / 7 = 3.5

that is your answer

Answer:

-y^4+x^4+2*3^yx^2+3^2y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

97,988.216

Step-by-step explanation:

So, we can find this by using the following formula:

First value(change)^time

We know that the orginal, or first value, is 120,000.

We know that the time interval for this is 8 years, which is our time value.

We know that the decrease in this price is 2.5%. However, this is not our change.

Our change is the 97.5% price that is left.

This makes sense, because you would get a super small price when you use 2.5% as change.

So to sum up what we have done so far:

First value - 120,000

Change - 100%-2.5% = 97.5%. In decimal form: 0.975

Time - 8

So lets plug these into:

\(First_.value(change)^t^i^m^e\)

=

\(120,000(0.975)^8\)

And remember your order of operations here.

We dont have any equations or expressions inside the parethese, so we can move on to what comes next - exponents.

We have the exponent 8, which is attached to the 0.975.

So in your calculator, take 0.975, and put it to the 8th power.

You should get 0.816651803662261962890625

Lets leave it like this, becuase 120,000 is a very large value, and rounding what you multiply could change what you get in the end.

Now  our equation looks like:

120,000(0.816651803662261962890625)

We have done parethese, exponents - now we have multiplication and division.

We do indeed have this, since 120,000(0.816651803662261962890625) could also be written as:

\(120,000*0.816651803662261962890625\)

Now multiplying this you should get:

97,998.216439471435546875

This is where you can round your answer.

I do not know what exactly they want you to round to, so its safe to just round your answer to the hundreths place:

97,998.22

So this is the new price of the car!

Hope this helps!

oh I did a mistake earlier , pardon ^^"

Let price after 8 years be P.

Using the compound interest formula of shrinking principal :-

P = Pₒ( 1 - R/ 100) ᵀ

P = 120, 000 ( 1 - 2.5/ 100)ᵀ

P = 120, 000 { (100 - 2.5)/ 100}ᵀ

P = 120, 000{ 97. 5/ 100 }ᵀ

P = 120, 000 {0. 975 } ⁸

P = 120, 000 { 0. 8166}

P = 97,998.216 $

Since, P is is price after 8 years

The price of the car after 8 years will be 97, 998. 216 $

We can represent the horizontal shift of a quadratic equation by adding or subtracting the constant h to the function

9514 1404 393

Answer:

  484 cm³

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = 1/3Bh

where B is the base area and h is the height.

Here, the base is a square 11 cm on a side, so its area is ...

  B = s² = (11 cm)² = 121 cm²

Then the volume of the pyramid is ...

  V = 1/3(121 cm²)(12 cm) = 484 cm³

The probability of getting doubles or a sum of 6, given that at least one die shows 2, is 1/6.

To solve this problem, we need to consider two events: Event A, which represents getting doubles (both dice showing the same number), and Event B, which represents getting a sum of 6.

Getting doubles: There are 6 possible outcomes for doubles (1-1, 2-2, 3-3, 4-4, 5-5, and 6-6) out of the total 36 possible outcomes when rolling two dice (6 outcomes for the first die multiplied by 6 outcomes for the second die). Therefore, the probability of getting doubles is 6/36, which simplifies it to 1/6.

Getting a sum of 6: There are five possible outcomes that give a sum of 6: (1-5, 2-4, 3-3, 4-2, and 5-1). Again, considering the total of 36 possible outcomes, the probability of getting a sum of 6 is 5/36.

Now, we need to find the probability of getting doubles or a sum of 6, given that at least one die shows 2. This means we have three favorable outcomes: (2-2 for doubles, 1-5, and 2-4 for a sum of 6), out of a total of 11 possible outcomes where at least one die shows 2.

To calculate the probability, we divide the number of favorable outcomes (3) by the total number of possible outcomes (11), resulting in a probability of 3/11.

Therefore, the final probability of getting doubles or a sum of 6, given that at least one die shows 2, is 3/11, which simplifies to approximately 0.273 or 27.3%.

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Answer: Third Choice. 9

Step-by-step explanation:

Concept:

Here, we need to understand the idea of evaluation.    

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given

4x + 2y -1

x = 3, y = -1

Substitute the value of x and y

4(3) + 2(-1) - 1

Simplify by multiplication

12 - 2 - 1

Simplify by subtraction

9

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Hello!

4x= 4*3 = 12

2y = 2*-1 = -2

12-2  -1= 9

Answer:

7.5 inches

Step-by-step explanation:

If he is 5 feet 9 inches tall and Roberto is 6 foot 4.5 inches tall just count the inches until you get to 6"4

Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48

The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:

Single Sampling Plan (n=80, c=3):

ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79

Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):

ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48

The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.

For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.

For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.

These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.

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