What Is The Pattern: January 1, January 15, January 29, February 12? 2 Weeks Later 1 Week Later A) B) (2024)

The perimeter of the given figure in the image is 89 units.

What is a perimeter?

The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be the sum of all the sides of the rectangle.

Given that the sides of the given figure are,

13 unit

20 unit

20 unit

20 unit

8 unit

8 unit

The perimeter will be calculated as:-

P = 13 + 20 + 20 + 20 + 8 + 8

P = 89 units

Therefore, the image's supplied figure has an 89-unit perimeter.

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In linear equation, the w-intercept of the line of fit is 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

In mathematics, what is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, including only a constant and a first-order (linear) component, where m is the slope and b is the y-intercept.

The preceding is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

A line of fit was drawn through the scatter plot and had the equation:

w = 4.75 + 0.5d,

where w is the weight of the puppy in ounces

d is the age of the puppy in days.

Comparing with The slope-intercept form of the equation of a line

y=mx+b,

where m is the slope

b is the y-intercept

thus, in our case we can say y-intercept of the function is known as the coordinates of the point where the value of x will be zero,

so at w-intercept the value of d(days ) will be zero.

Therefore, at d =0

w = 4.75

therefore, the w-intercept of the line of fit is 4.75; a puppy who is just born is predicted to weigh 4.75 ounces.

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Lauren can spend up to $33.33 per day during spring break if she wants to have $2,700 left at the end of the break.

What is the linear equation?

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y-axis, also known as the y-intercept.

Lauren wants to spend some money each day during spring break such that she has $2,700 left at the end of the break.

Let x be the amount of money she can spend each day during spring break. Then, we can set up an equation based on the given information:

Amount of money spent during spring break = Total amount of money at the beginning of spring break - Total amount of money she wants to have at the end of spring break

Therefore, we have:

9x = 3000 - 2700

9x = 300

x = 33.33 (rounded to two decimal places)

Hence, Lauren can spend up to $33.33 per day during spring break if she wants to have $2,700 left at the end of the break.

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Answer:$2.42

Step-by-step explanation:

If one ticket costs $8.78 and Francie bought two tickets the price of the tickets is $17.58 so taking $20 and subtracting the ticket price you get $2.42

2.44

Step-by-step explanation:

20 - 17.56

my bad i read it wrong

The net would be 51 feet long to stretch from one side of the court to the other.

What are scaled drawings?

Scale drawings are drawings that shows a diagram with another proportional dimensions

The scale ratio of the diagram is given as:

Scale = 1 inch = 12 feet

The length of the net is given as:

Length = 4.25 inches

So, the actual length of the net is:

[tex]Length=4.25*12[/tex]

Evaluate the product

[tex]Length=51[/tex]

Hence, the net would be 51 feet long, if stretched across the court

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The expected number of rolls it will take to get a 6 for the first time is approximately 10 rolls.

To calculate the expected number of rolls, we can use the formula E(X) = 1/p, where p is the probability of success on each roll. In this case, the probability of success is 0.104, so p = 0.104. Therefore:

E(X) = 1/0.104 ≈ 9.62.

Since we can't roll a die a fraction of a time, we round up to the nearest integer and get that the expected number of rolls is 10.

This means that, on average, it will take about 10 rolls to get a 6 for the first time when rolling this weighted die. However, it's important to remember that this is just an average, and in reality, it may take more or fewer rolls to get a 6.

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By graphing both equations we can see that the solution of the system is (1, 5).

How to solve the system graphically?

Here we need to solve the system of equations:

y = (x - 2)² + 4

4x + 2y = 14

graphically.

To do so, we just need to graph both of these equations in the same coordinate axis and find the points where the graphs intercept.

On the image at the end you can seee a coordinate axis with both graphs.

There we can see that the two graphs intercept at the point (1, 5), so that is the solution.

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The polynomial that represents the area is:

A = 4x^2 + 28x + 49

What polynomial represents the area of the square?

Remember that for a square of side length S, the area is:

Area = S^2

Here we can see that the side length is:

S = x + 7 +x = 2x + 7

Then the area of this square is:

Area = (2x + 7)^2

Expanding that we will get:

Area = (2x)*(2x) + (2x)*7 + 7*(2x) + 7*7

Area = 4x^2 + 14x + 14x + 49

Area = 4x^2 + 28x + 49

That is the polynomial.

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Answer:

10

Step-by-step explanation:

It's asking for g(12).

We would use the second equation because the inequality shows less than OR equal to 12

Plugging in 12 for t you get

[tex] \frac{5(12)}{6} = \frac{60}{6} = 10[/tex]

1. 100 laptops were sold in 2017.

2. Total number of mobile phones sold in the 3 years = 60.

3. Mobiles ad the greatest increase in sales over the 3 years which is 600.

What is Bar Graph?

Using a discrete data set, a bar chart can be used to display how the data are distributed. Bar charts can display data either horizontally or vertically, and they can also display data from many sets. The category or group is listed on one axis, while the frequency of the category or group is listed on the other.

Given:

we have given the bar graph.

1. 100 laptops were sold in 2017.

2. Total number of mobile phones sold in the 3 years

= 120 + 200 + 280

= 60

3. Mobiles ad the greatest increase in sales over the 3 years which is 600.

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Answer:

216

Step-by-step explanation:

with a cube all sides are equal so all you have to do is cube the answer (Which is 6x6x6) and you get 216

when the acceleration of gravity is 9.81 m/s 2 and the density of sea water is 1025 kg/m3. Then the ocean's depth is 20.15 meters.

Given that,

Pressure [tex]P= 3 P atm[/tex]

atmospheric pressure [tex]Patm = 1.013[/tex] × [tex]10{5} Pa[/tex]

Gravitational acceleration = 9.81 m/s2

The density of sea water is 1025 kg/m3.

We need to figure out how deep the ocean is.

[tex]h = P -Po \\ pg[/tex]

Using the Depth Formula

[tex]h = 3 x 1.013 x 10 *5 -1.013 x10*5/ 1025 x9.81\\ \\ \\ h =20.15m[/tex]

In this case, =Atmospheric pressure

P stands for total pressure.

g = gravitational acceleration

[tex]p[/tex] = seawater density

Fill in the value inside the formula

Hence, The depth of the ocean is 20.15 meters.

How else do you determine debt to assets and equity ratio ?

The equity multiplier is calculated based:

Total Assets / Total Shareholder Equity = Investment Multiplier.

Total Capital is equal to the sum of total debt and total equity.

Total debt divided by the total assets equals the debt ratio.

Debt to Equity Ratio = 1 - (1/Equity Multiplier)

Net Profit Margin x Total Investments = ROE Financial Leverage Ratio x Inventory Turnover.

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If Eduardo had an adhesive covering 52,000mm² of surface area, it would be enough to cover all the nails.

Dimension:

The dimensions of a mathematical space (or object) are informally defined as the minimum number of coordinates required to specify a point within it. Therefore, the line size is one (1D). This is because only one coordinate is needed to represent a point, for example point number 5 on a number line. Surfaces, such as the bounds of a cylinder or sphere, are two-dimensional (2D) because they require two coordinates to specify a point. For example, points on a surface require both latitude and longitude sphere

According to the Question:

The dimensions of the dowels are shown in the following image (attached).

Dowels are usually thick short pieces of wood. :

A = a*b*20

A = 5 mm*80 mm*20

A = 8000 mm²

Eduardo has enough adhesive to cover a surface area of ​​52,000 mm² to cover all the dowels.

Complete Question:

In a carpentry class, the teacher explains that cylindrical wooden pegs are used to attach the table pieces together. The dimensions of the dowels are shown in the following image.

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The first criterion of a successful engineering solution for studying fossils is that scientists should be able to study fossils without damaging them. (option c )

Fossils are delicate and can be easily damaged or destroyed during the study process. Therefore, it is essential for scientists to be able to study fossils without causing any damage. This requires an engineering solution that provides a secure, stable environment for the fossil and allows for careful manipulation and analysis without any harm to the fossil.

By meeting this criterion, scientists can study fossils with accuracy and precision, allowing for accurate identification and interpretation of the species. The other options (a, b, and d) are not the first criterion of a successful engineering solution for studying fossils and do not contribute directly to the accuracy or precision of the study.

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“As if the navy would abandon its country” is the line which has hopeless tone in the poem called “Bridge to the Sea”.

A young girl named Ha lives in Vietnam with her father, who is missing in action during the Vietnam War, and is the subject of Thanhha Lai's book Inside Out and Back Again. After Saigon fell, her mother Ha and her three brothers fled across the sea to Alabama. Ha learns that life in Alabama is different from life in Vietnam. She mourns the loss of her father and struggles to fit in with her classmates in Alabama as they call her racist names and tease her for how she looks and where she is from—Vietnam. She leaves her papaya tree behind.

The book received one of the two Newbery Honors and the 2011 US National Book Award for Young People's Literature. The story was based on her first year in America in 1975, when she was ten years old and had no English language skills.

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Using systems of equations can help you decide where to go on vacation by allowing you to compare different travel options and determine which one is the most cost-effective.

How can a system of equation help with vacation planning ?

You may analyze various travel options and figure out which is the most economical by using systems of equations to assist you select where to go on vacation.

By using systems of equations to compare different travel options, you can make an informed decision based on cost, rather than just guessing or relying on subjective factors. This can help you plan a vacation that fits your budget and maximizes your enjoyment.

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[tex]X = B(C^{-1})^2 - A[/tex] is a solution to the invertible matrices equation [tex]C^{-1}(A+X)B^{-1}=I_n[/tex].

We can begin by multiplying both sides of the equation by[tex](A+X)B^{-1}[/tex]:

[tex]C^{-1}(A+X)B^{-1}(A+X)B^{-1} = I_n(A+X)B^{-1}[/tex]

Simplifying the left-hand side, we get:

[tex]C^{-1}(A+X)B^{-1}(A+X)B^{-1} = C^{-1}(A+X)(A+X)^{-1}C^{-1} = C^{-1}C^{-1} = (C^{-1})^2[/tex]

Simplifying the right-hand side, we get:

[tex]I_n(A+X)B^{-1} = (A+X)B^{-1}[/tex]

When we plug these values back into the original equation, we get:

[tex](C^{-1})^2 = (A+X)B^{-1}[/tex]

Multiplying both sides by B, we get:

[tex]B(C^{-1})^2 = A+X[/tex]

When we return to the original equation, we get:

[tex]C^{-1}(B(C^{-1})^2)B^{-1} = I_n[/tex]

Simplifying, we get:

[tex](C^{-1})^2 = (C^{-1})^2[/tex]

This is a true statement, so the equation has a solution,[tex]X = B(C^{-1})^2 - A[/tex].

To solve the equation C^{-1}(A+X)B^{-1}=I_n, we first multiplied both sides by [tex](A+X)B^{-1}[/tex] and simplified the equation to get [tex](C^{-1})^2 = (A+X)B^{-1}[/tex]. We then multiplied both sides by B and substituted the result back into the original equation to get [tex]C^{-1}(B(C^{-1})^2)B^{-1} = I_n[/tex]. Simplifying this equation, we got [tex](C^{-1})^2 = (C^{-1})^2[/tex], which is a true statement. Therefore, the equation has a solution, X = [tex]B(C^{-1})^2 - A[/tex].

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Answer: B

Step-by-step explanation: Solve the equation.

[tex]3-3x < 20[/tex]

[tex]-3x < 17[/tex]

[tex]x > -17/3[/tex]

We flip the sign to greater than because we used the division operator. Since -6 is less than -17/3, it falls out of the range of solutions and is therefore a non-possible solution.

Step-by-step explanation:

78/4 = 19 tables can be set with the proper amount of napkins. There are 2 leftover.

For 10 more tables, you need 40 napkins total, but we have 2, so 38 napkins is what Jonah needs with what he has.

Answer:

Marble has $82 altogether.

Step-by-step explanation:

Marble saved $ 10

She made 7 times more then she saved

So to figure that out we do 7 x 10 which is 70

After it says her friend gave her 12 more dollars

So 70 + 12 = 82

Therefore Marble has $82 altogether.

Answer:

1. Add 1

2. Add 36

3. Divide both sides by 3

Step-by-step explanation:

When you are trying to "complete the square" There's going to be an x^2 term and also an x term. Take the number beside the x, cut it in half, and then square it.

1. 2 is beside the x. Cut 2 in half, that's 1, 1^2 is just 1. So add 1.

x^2 + 2x + 1 is a perfect square trinomial. It equals (x + 1)^2

2. 12 is beside the x. Cut 12 in half, that's 6, 6^2 is 36. So add 36.

x^2 + 12x + 36 is a perfect square trinomial. It equals (x + 6)^2

3. In order to "complete the square" the x^2 term must not have a coefficient (a number beside it) So we divide thru on both sides by 3 to get rid of the 3 in front of the x^2 term.

From the angles sum , ∠1 + ∠3 and ∠1 + ∠2 it is obtained that ∠2 is congruent to ∠3.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

It is given that angles -

∠1 and ∠2 form a linear pair.

This means that they lie on the same plane.

And they have a sum of 180° as they are supplementary angles pair.

Now, t is given that angles -

∠1 + ∠3 = 180°

They are also a supplementary angles pair.

Now, since ∠1 + ∠3 = 180° and ∠1 + ∠2 = 180°

So, we can equate both these equations -

∠1 + ∠3 = ∠1 + ∠2

∠3 = ∠2

Therefore, it is prove that ∠3 = ∠2, they are congruent.

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Answer: (xy) squared

we can conclude that the distance along Washington Street using Pythagorean theorem is approximately less than or equal to 3.49 miles shorter than Li Wei's usual route.

We can use the Pythagorean theorem to calculate the distance Li Wei walks along his usual route:

√(1.31)² + (3.33)²

= 3.49 miles}$$

To find the distance along Washington Street, we just need to find the straight-line distance between Li Wei's apartment and his workplace. Without more information, we can't calculate this exactly, but we can use the Pythagorean theorem again to get an estimate:

√(1.31)²+ (3.33)²

= 3.49 miles

Since the distance along Washington Street is shorter than the distance Li Wei walks along his usual route (since it is a straight line), we know that the estimate we just calculated is an upper bound on the actual distance. Therefore, we can conclude that the distance along Washington Street is approximately less than or equal to 3.49 miles shorter than Li Wei's usual route.

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The given integral is ∫8x² ln(x) dx. The value of the integral is ∫8x² ln(x) dx = ln(x) [(8/3)x³ + C] - (8/9)x³ + C.

Let us use integration by parts, with u = ln(x) and dv = 8x² dx.

Then, we have du/dx = 1/x and

v = ∫8x^2 dx

= (8/3)x³ + C.

Using the integration by parts formula ∫u dv = uv - ∫v du, we get:

∫8x² ln(x) dx = u v - ∫v du

= ln(x) [(8/3)x³ + C] - ∫(8/3)x³ (1/x) dx

= ln(x) [(8/3)x³ + C] - (8/9)x³ + C

Therefore, the value of the integral is

∫8x² ln(x) dx = ln(x) [(8/3)x³ + C] - (8/9)x³ + C.

Note that the constant of integration appears twice, as is typical for integration by parts. We can simplify the result by combining the constants, but we will leave it in this form for now.

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Answer:

Answer A - (0,2), (2,-1)

Step-by-step explanation:

GRAPH FOR EQUATION GRAPHED BELOW

If we look at the graph it goes through points (0,2), (2,-1)

Answer:

see below

Step-by-step explanation:

let t = year

p = population

p = 2000* (1-0.75%) ^t

The value of x in the triangle is 24 units.

How to find the side of a triangle?

The length DE is the angle bisector. The angle bisector of a triangle divides the opposite side into two parts proportional to the other two sides of the triangle.

Therefore, using proportion,

44.8 / 56 = x + 4 / 35

cross multiply

35 × 44.8 = 56(x + 4)

1568 = 56x + 224

1568 - 224 = 56x

1344 = 56x

divide both sides by 56

x = 1344 / 56

x = 24

Therefore,

x = 24 units.

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To find Malika's total balance after one year, she should multiply her current balance by 1.06.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

The total balance after one year of simple interest is:

Total balance = Principal x (1 + Rate x Time)

Since Malika is not adding or removing any money from her investment, her principal will remain the same.

Therefore, to find her total balance after one year of simple interest at a rate of 6%, she should multiply her current balance by 1.06.

Hence, to find Malika's total balance after one year, she should multiply her current balance by 1.06.

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Answer: 702

Step-by-step explanation:

12000 - (3483 + 2901)

12000 - 6384

5616/ 8

702