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Answer:

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The values of x are 13 and -1. Option A

Algebraic expressions are defined as  expressions that have terms, variables, coefficients, constants and factors.

They are made up of arithmetic operations.

Given that;

(x - 7)²= 36

expand the bracket

x² - 7x - 7x + 49 = 36

collect like terns

x² - 14x + 49 = 36

x² - 14x + 13

Factorize the expression

(x² - 13x) + (x - 13)

Factor the common terms

x(x - 13) + 1(x - 13)

x = 13. x = -1

Hence, the values are 13 and -1

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Answer:

I believe the answer is 341 hope this helps

Answer:

c

Step-by-step explanation:

because y = 0 when x = 2 and y = -4 when x =0

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:The route from the home to the school is 50

miles long.  The route back is 55 miles

miles long.

Step-by-step explanation:

Answer:

A. complete your work honestly and only submit work that is your own.

Answer:A

Step-by-step explanation:

Because it’s trust me

Answer:

10.2 ft

Step-by-step explanation:

\(a^{2} +b^{2} = c^{2} \\8^{2} +b^{2} =13^{2} \\\)

64 + \(b^{2}\) = 169

\(b^{2} = 105\\\)

b=\(\sqrt{105}\)

b= 10.2469

Answer:

Hello There!!

Step-by-step explanation:

The answer is 3,9,15,21.

hope this helps,have a great day!!

~Pinky~

Answer:

the common difference is 6. So, the missing two terms are 9 and 15 using

3 + (n-1)(6)

Given:

Several stem-and-leaf plots and several histograms

Required:

We need to order the given stem-and-leaf plots and histograms

Explanation:

Consider the stem-and-leaf plot

3 | 8 4 9 represents

The first box is from 30 to 40 intervals and has 3 points in the histograms

4 | 1 2 3 represents

The second box is 40 to 50 intervals and has 3 points.

5 | 1 2 represents

The third box is 50 to 60 intervals and has 2 points.

6 | 1 9 represents

The fourth box is 60 to 70 intervals and has 2 points.

7 | 1 represents

The fifth box is 70 to 80 intervals and has one point.

8 | 9 represents

The sixth box is 80 to 90 intervals and has one point.

The histograms is

Final answer:

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

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

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The Brady & Matthew Camera Company has recently introduced its latest high-quality digital camera designed for professional use.

1. The Brady & Matthew Camera Company: The company known as Brady & Matthew Camera is the manufacturer of the newly released digital camera.

2. Newest professional quality digital camera: The recently launched camera by Brady & Matthew Camera Company is their latest product in their lineup of professional-grade digital cameras.

3. Features: The new camera is equipped with advanced features that cater to the needs of professional photographers, such as high-resolution image sensors, a wide range of ISO sensitivity, and customizable shooting modes.

4. Image Quality: The camera is designed to deliver exceptional image quality with sharp details, accurate colors, and low noise, ensuring professional-grade results.

5. Durability: The camera is built to withstand the rigors of professional use, featuring a robust body construction and weather sealing to protect against dust and moisture.

6. Ergonomics: Brady & Matthew Camera Company has paid attention to ergonomic design, ensuring that the camera is comfortable to hold and operate for extended periods.

7. Connectivity: The camera is equipped with various connectivity options, including Wi-Fi and Bluetooth, allowing photographers to transfer images wirelessly and control the camera remotely.

8. Accessories: Brady & Matthew Camera Company offers a range of compatible accessories for their new camera, including lenses, external flashes, and battery grips, expanding the capabilities of the camera system.

9. Market Availability: The new professional-quality digital camera by Brady & Matthew Camera Company is now available for purchase from authorized retailers and their official website.

10. Customer Support: The company provides reliable customer support services, including warranty coverage, technical assistance, and firmware updates to ensure a satisfying user experience.

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

Answer:

1,740 261

20+3

Final answer 23

Step-by-step explanation:

Sorry If I am wrong.

Given the following expression:

Making a comparison statement out of this will be: 27 is 3 times more than 9.

According to the given data the length of a \(90^{0}\) arc is \(\pi /2\) or approximately \(1.57\) feet.

In geometry, the length of an arc is the distance along the curved line that makes up the arc. It is a measure of the "length" of a portion of a circle's circumference, and it is usually expressed in the same units as the circle's radius.

According to the given information:

The length of a \(90^{0}\) arc in a circle with radius \(1\) foot can be calculated using the formula:

Length of arc = (angle/\(360\)) x \(2\pi r\)

where angle is the central angle of the arc in degrees, r is the radius of the circle, and \(\pi\) is a mathematical constant approximately equal to \(3.14159\).

Substituting the given values, we have:

Length of arc = (\(90/360\)) x \(2\pi(1 ft)\)

Length of arc = \((1/4)\) x \(2\pi ft\)

Length of arc = \(\pi /2 ft\)

Therefore, the length of the \(90^{0}\) arc is \(\pi /2 feet\) or approximately \(1.57 feet\)

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the length of the 90° arc is π/4 feet or approximately 0.785 feet

What is arc of circle?

In geometry, an arc of a circle is a portion of the circle's circumference. It is defined by two endpoints and all points along the circle between those endpoints. The measure of an arc is typically given in degrees or radians and can be used to calculate various properties of the circle, such as its length, area, and sector angles.

The formula for the length of an arc is:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle of the arc in degrees, and r is the radius of the circle.

In this case, θ = 90° and r = 1 ft, so we have:

L = (90/360) × 2π(1) = (1/4) × π = π/4

Therefore, the length of the 90° arc is π/4 feet or approximately 0.785 feet (rounded to 3 decimal places).

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9514 1404 393

Answer:

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

The number the spinner is most likely to land on is 2

From the question, we have the following parameters that can be used in our computation:

The spinner

From the spinner, we have the number that covers the largest area to be 2

i.e.

Largest area = 2

This means that the number it is most likely to land on is 2 and it has the highest probability

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The statement "In both cases, subtract 6 from both sides, but reverse the inequality sign when doing that for the inequality" best describes the process used to solve the equations.

In the equation -3x + 6 = 21, to isolate the variable x, we subtract 6 from both sides of the equation, which yields -3x = 15. Then, we divide both sides by -3 to solve for x, resulting in x = -5. This process is applicable to equations where we aim to find the exact value of the variable.

Similarly, in the inequality -3x + 6 < 21, we want to find the range of values for x that satisfy the inequality. By subtracting 6 from both sides, we obtain -3x < 15.

However, since we performed the same operation on both sides of the inequality, the direction of the inequality sign remains the same.

Thus, the correct inequality is -3x < 15. To isolate x, we divide both sides by -3. However, since we reversed the inequality sign, we must also reverse it again, resulting in x > -5.

This process allows us to determine the range of values for x that satisfy the inequality.

Therefore, the statement accurately describes the process for solving both the equation and the inequality, highlighting the significance of reversing the inequality sign when manipulating inequalities.

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Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

Answer: 1874.5

Step-by-step explanation: If your starting balance is 3090$, and you withdraw 870$ and 465$ your subtracting, therefore leaving you with 1755$. If you deposit 109$ and earn 10.5$ in interest, you're adding, leaving your total to 1874.5$

Answer: the answer is B

Step-by-step explanation:

Answer:

56 and 62

Step-by-step explanation:

The number of students who just passed and didn't get any division is  195.

We can start by finding the number of students who got first or second division:

Next, we can find the total number of students who got a division:

Total number of students who got a division = Number of students who got first division + Number of students who got second division

= 125 + 175 = 300

Now, we can find the number of students who failed:

Number of students who failed = 5

Finally, we can subtract the number of students who got a division and the number of students who failed from the total number of students to find the number of students who just passed and didn't get any division:

Number of students who just passed and didn't get any division = Total number of students - Number of students who got a division - Number of students who failed

= 500 - 300 - 5

= 195

Therefore, the number of students who just passed and didn't get any division is 195.

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As this is a right angle triangle.

using trigonometric identity:

tanA= Perpendicular/Base

In the given figure :

Perpendicular P= √5

Base B =O

so, Tan 30°= P/B

  1/√3 = √5/

doing cross multiplication we have:

 O= √5×√3

 O=√15

To find value of Hypotenuse, we will trigonometric identity:

Cos 30°= Base/ Hypotenuse

 √3/2 = √15/p

doing cross multiplication we get:

√3×p = √15×2

p = (√15 × 2)/ √3

p= (√5 × √3 × 2)/√3

p= 2√5

Hence, the Base is √15 and Hypotenuse p is 2√5.

hope this helps...

Answer: 9b+12

Step-by-step explanation:

Combine the sets if like terms meaning

4+10-2

And 3b+6b

3b+6b= 9b

4+10-2= 12

Since only one has one variable they aren’t like terms and they can’t be combined leaving u with 9b+12