2 Construct an x chart. Answer the questions associated with each given data set.

Answer:

SA = 48 cm²

Step-by-step explanation:

the surface area (SA) is the sum of the areas of the 5 faces.

1 square and 4 congruent triangles form the pyramid

area of square = 4 × 4 = 16 cm²

area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 4 and h = 4

area = [tex]\frac{1}{2}[/tex] × 4 × 4 = 2 × 4 = 8 cm²

area of 4 triangles = 4 × 8 = 32 cm²

SA = 16 + 32 = 48 cm²

Answer: 30 Feet

Step-by-step explanation: Martin threw the ball 9 feet so we have Martins distance, next we know that Wyatt throws the ball 3 times as far which is 9x3 which is 27, Adeyla threw it 3 feet farther then Wyatt who threw it 27. 27+3=30

So the answer is 30 feet

The statement The product of p is and -8 is less than 24 as an expression is -8p <  24

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

The statement represented as

The product of p is and -8 is less than 24

Less than is represented using the symbol <

So, we have

The product of p is and -8 is less than 24: The product of p is and -8 is <  24

Represent products as *

So, we have

The product of p is and -8 is less than 24: -8p <  24

Hence, the expression is -8p <  24

Read more about expression at

https://brainly.com/question/15775046

#SPJ1

Answer:522

Step-by-step explanation:

cut the shape on top to make a triangle and rectangle so then it would be 25x18=450 then for the triangle it would be 18x8=72 450+72=522

Answer:

Find the angle bisectors and draw them.

The point where they meet is the center of the circle.

Make a circle which goes through the point where the angle bisector and sides meet.

Step-by-step explanation:

Yes, the fractions 1/2 and 2/4 are proportional

A fraction can simply be defined as an expression that is used in the representation of the part of a whole.

This could be a whole number, a whole element, a whole material or a whole elemeent.

In mathematics, there are different types of fractions.

These fractions are enumerates thus;

From the information given, we have that;

If 1/2 and 2/4 are proportional, that is, if equal

2/4 = 1/2

Cross multiply the values

4 = 4

Learn about fractions at: https://brainly.com/question/11562149

#SPJ1

The graph of the function f(x) with vertex (1, 2) and another point (0, 2) is shown below.

Consider a function f(x) = 3x² - 6x + 2

We know that the graph of quadratic function is a parabola.

We graph the function f(x)

The graph of function f(x) is shown below.

From the graph of f(x), we can observe that the vertex of parabola is (1, 2)

For x = 0 the value of the function f(x) would be,

f(x) = 3x² - 6x + 2

f(0) = 3(0)² - 6(0) + 2

f(0) = 0 - 0 + 2

f(0) = 2

This means that the y-intercept of f(x) is (0, 2)

Therefore, the reuired graph of the function f(x) is shown below.

Learn more about function here:

https://brainly.com/question/28193995

#SPJ1

An equation for which the solution is the height of a pyramid, in feet, when its volume is 48 cubic feet and the length of each side of its base is 4 feet is h = 3(48)/4².

In Mathematics and Geometry, the volume of a square pyramid can be calculated by using the following formula:

Volume of a square pyramid, V = 1/3 × a² × h

Where:

By making "h" the subject of formula, the side length of the base of a square pyramid can be determined as follows;

V = 1/3 × a² × h

3V = a²h

Height, h = 3V/a²

Height, h = 3(48)/4²

Read more on pyramid here: brainly.com/question/16315790

#SPJ1

The amount after 23 years on the investment plan is A = $358.20

Given data ,

$200 per month under a 4.5% annual percentage rate investing plan.

Now , A = P(1 + r/n)^(nt)

Where:

A is the total sum.

P stands for the initial deposit's principal.

The yearly interest rate is represented by the decimal r.

The yearly compounding rate of interest is determined by the number n.

The number of years is t.

A = 200(1 + 0.045/1)¹ˣ²³

A = 200(1.045)²³

A ≈ 200(1.791)

A ≈ $358.20

After 23 years, the investment plan will contain approximately $358.20

Total deposits = Monthly deposit amount x Number of months

Total deposits = $200 x (12 months/year) x 23 years

Total deposits = $200 x 12 x 23

Total deposits = $55,200

Consequently, $55,200 would be the total amount of deposits made during the 23-year period.

To find out more about compound interest click:

https://brainly.com/question/21270833

#SPJ1

If Group of students conducted an investigation to learn about "pea-plants", then the "independent-variable" is  "Water-per-day (mL)".

The "Independent-Variable" is defined as a variable which is controlled by the researcher.

In the investigation of the "pea-plants", the amount of water per day (mL) given to the plants is the independent variable because it is the variable that is intentionally varied by the students.

The students are manipulating the amount of water given to each plant to observe the effect it has on the height of the plant after two weeks.

By controlling the amount of water given to each plant, the students can determine whether there is a relationship between water intake and plant growth.

Therefore, water given to plants per-day will be the "independent-variable".

Learn more about Independent Variable here

https://brainly.com/question/13624615

#SPJ1

The given question is incomplete, the complete question is

Group of students conduct an investigation to learn more about pea plants. Their data are summarized below.

Plant      Water per day (mL)        Height after 2 weeks (cm)

  1                     20                                          11

 2                     50                                          18

 3                    100                                         24

 4                     20                                          16

Which is the independent variable in the investigation?

Amir's average speed for the whole journey was 51 km/h.

We have,

Let the total distance between Town A and Town B be D.

According to the problem,

Amir traveled 1/5 of the journey in the first two hours, which means he covered a distance of D/5 in 2 hours.

The remaining distance is 4D/5.

He then traveled 1/3 of the remaining journey in the next one hour, which means he covered a distance.

= (1/3) × (4D/5)

= 4D/15 in the next hour.

Therefore, the remaining distance.

= 4D/5 - 4D/15

= 8D/15.

It took him another 2 hours to cover the remaining distance of 136 km, so we have:

8D/15 = 136 km

Solving for D.

D = (136 km)×(15/8)

= 255 km

Therefore,

The total distance between Town A and Town B is 255 km.

The total time Amir took for the journey is 2 + 1 + 2 = 5 hours.

His average speed for the whole journey.

= Total distance ÷ Total time

= 255 km ÷ 5 hours

= 51 km/h

Therefore,

Amir's average speed for the whole journey was 51 km/h.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.

Speed is simply referred to as distance traveled per unit time.

It is expressed as:

Speed = distance / time

Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.

The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:

Speed = distance / time

time = distance / speed

time = 50 km / 60 km/h

time = 5/6 hour

Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:

Speed = distance / time

time = distance / speed

time = 50 km / 50 km/h

time = 1 hour

Now, the difference in time between the two scenarios would be:

time difference = 1 hour - 5/6 hour

time = 1/6 hour

Convert to minutes

time = 1/6 × 60

time = 10 minutes

Therefore, the train would be late by 10 minutes.

Learn more about speed here: https://brainly.com/question/27571996

#SPJ1

The solutions are x = 0 and x = 3π/4, written as 0, 2.35619 (in radians).

We can factor out 6 tan(x) from the left-hand side of the equation:

6 tan(x) (tan(x) + 1) = 0

This equation is satisfied if either 6 tan(x) = 0 or tan(x) + 1 = 0.

If 6 tan(x) = 0, then tan(x) = 0. This occurs when x = 0, π, 2π, etc. However, we need to restrict our attention to the interval [0, 27), so the only solution in this case is x = 0.

If tan(x) + 1 = 0, then tan(x) = -1. This occurs when x = 3π/4 + nπ, where n is an integer. However, we need to restrict our attention to the interval [0, 27), so the only solution in this case is x = 3π/4.

Therefore, the solutions of the equation 6 tan²(x) + 6 tan(x) = 0 in the interval [0, 27) are x = 0 and x = 3π/4, which can be written as the comma-separated list: 0, 2.35619.

To learn more about solutions of the equation in the interval [0, 27), refer:

https://brainly.com/question/29005732

The sum of given two expressions x+9 and 7x²-2x+1 results in the expression 7x² - x + 10.

To find the sum of two expressions, we simply add their like terms.

The given expressions are x+9 and 7x²-2x+1.

The first expression has two terms - x and 9.

The second expression has three terms - 7x², -2x, and 1.

We cannot add the terms of the two expressions directly since they are not like terms. However, we can simplify the expressions and then add the like terms.

First, we can simplify the second expression by combining the like terms -2x and 1.

7x² - 2x + 1 = 7x² - (2x - 1)

Now, we can add the like terms from both expressions.

(x + 9) + (7x² - 2x + 1) = x + 7x² - (2x - 1) + 9

= 7x² - x + 10

Note that we could also have added the two expressions without simplifying the second expression first. We would get the same result.

(x + 9) + (7x² - 2x + 1) = x + 7x² - 2x + 9 + 1

= 7x² - x + 10

In either case, the final answer is 7x² - x + 10.

To learn more about expressions click on,

https://brainly.com/question/29240850

#SPJ1

1) Brianna's average monthly income is $1,850.

2) Brianna's average monthly expenses are $3,135.

3) Brianna's total monthly cash flow is -$1,295.

The cash flow refers to the cash inflows and cash outflows.

Cash inflows are incomes while cash outflows are expenses.

Monthly Rent = $700

Gas = $120

Car Insurance = $75

Health Insurance = $140

Renter's Insurance = $25

Cell phone = $110

Utilities = $100

Groceries = $300

Entertainment/eating out = $250

Total monthly expenses = $1,820

= $21,840 ($1,820 x 12)

College = $12,000

Gifts = $1,000

Vacations = $1,500

Clothes = $800

Charity =$600

Total monthly expenses = $21,840

Total annual expenses = $37,740

Average monthly expenses = $3,135 ($37,740 ÷ 12)

Monthly Income = $1,600

Yearly Income = $ 19,200 ($1,600 x 12)

Annual Scholarship = $3,000

Total annual income = $22,200

Average monthly income = $1,850 ($22,200 ÷ 12)

Average monthly income = $1,850

Average monthly expenses = $3,135

Cash flows = -$1,295 ($1,850 - $3,135)

Learn more about cash flows at https://brainly.com/question/10922478.

#SPJ1

Answer:

  $9.34 per square foot

Step-by-step explanation:

You want the cost per square foot of a 36 foot square building that costs $12,099.

The cost per square foot is found by dividing the cost by the number of square feet. That area is found as the square of the side length:

  A = s²

  A = (36 ft)² = 1296 ft²

Then the cost is ...

  cost per square foot = ($12099)/(1296 ft²) ≈ $9.34/ft²

The cost of the building is about $9.34 per square foot.

<95141404393>

Jenny is paying $334.82 per year on credit card interest.

We need to find his annual interest payment which is:

= $1100 * 2% * 12 month

= $264

So, we have an annual interest payment of $264

We must account for interest that accumulates on the interest itself. To calculate this, we can use the formula: A = P (1 + r/n)^(nt) when P is $264, r is 24%, n is 12 and t is 1.

A = $264 * (1 + 0.24/12)^(12*1)

A = $264 * 1.26824179456

A = $334.815833764

A = $334.82.

Read more about annual interest

brainly.com/question/25793394

#SPJ1

I Got u Bro Answer: x2-7x+14=0

Answer:

Step-by-step explanation:

X^2-7x+14=0

No, y=2x+X+1 is not a linear function because it contains a term with an exponent of 1 and a term with an exponent of 0. Linear functions are functions of the form y = mx + b, where m and b are constants, and x is the independent variable. The graph of a linear function is a straight line.

In the given function, the term X is not multiplied by a constant, so it does not have a fixed rate of change. Therefore, the graph of this function is not a straight line. Instead, it is a quadratic function, which has a parabolic graph.

The answer choice which gives the best-example of the "random-sample" is (c) Ask 10 people from each "grade-level" at Allison's school about how many games they have on their phones.

A "Random-Sample" is a subset of a larger population which is chosen in such a way that each member of the population has an equal chance of being selected.

The Option (c) :  gives the best example of a random sample that Allison could use to help answer her question. By asking 10 people from each grade level at her school, Allison can obtain a sample that includes a variety of ages, genders, and backgrounds.

This can help to ensure that the sample is representative of the population she is interested in studying.

Option (a) : is not a random sample because it only includes teenagers who happen to be at the grocery store at the time Allison is conducting her survey. This may not represent entire population of teenagers at her school.

Option (b) : is not a random sample either because it only includes people who happen to be at the library on Saturday morning. This may not be representative of the entire population of teenagers at her school.

Option (d) :  is not a random sample because it only includes teenagers from 20 different countries. This may not be representative of the population of teenagers at Allison's school or in her local area.

Therefore, the correct option is (c).

Learn more about Random Sample here

https://brainly.com/question/461539

#SPJ1

Answer:

This is a quadratic function.

Answer:

(4,π/6)

Step-by-step explanation:

The correct polar coordinates of the point (2√3, 2) are (r, θ) = (4, π/6).

Explanation:

Using the formulas for converting Cartesian coordinates to polar coordinates:

r = √(x^2 + y^2)

θ = atan2(y, x)

Plugging in the given values:

r = √((2√3)^2 + 2^2)

= √(12 + 4)

= √16

= 4

θ = atan2(2, 2√3)

≈ 0.5236 radians

However, in the polar coordinate system, angles are typically expressed in radians between 0 and 2π. The angle π/6 is equivalent to 0.5236 radians, so the correct polar coordinates of the point (2√3, 2) are (r, θ) = (4, π/6).

Answer: -161

Step-by-step explanation: you solve by plugging 9 in for x so you get f(9) = -2(9)^2 +9-8 you solve using PEMDAS and you get -161

The most reasonable unit of measurement for 3) is option (C): [tex]m^2[/tex], 4) is option (B): [tex]km^2[/tex], 5) is [tex]in^2[/tex].

3) The most reasonable unit for the measurement of the baseball field is [tex]m^2[/tex] because the baseball field covers a large distance which is not accurately measured by small units  [tex]cm^2[/tex] or [tex]mm^2[/tex]  where it is not that big to be measured in large units like [tex]km^2[/tex]. So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is [tex]km^2[/tex] because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like [tex]cm^2[/tex] , [tex]mm^2[/tex] , and [tex]m^2[/tex]. So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is [tex]in^2[/tex] because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) [tex]m^2[/tex]

4) [tex]km^2[/tex]

5) [tex]in^2[/tex]

Learn more about the unit of measurement at:

https://brainly.com/question/30644235

#SPJ1

Answer:

38

Step-by-step explanation:

the square root of 1444 is 38.

At the 0.05 significance level, the degree of freedom is 1. So, correct option is B.

To test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans, we can use the chi-square test for independence. The null hypothesis is that the proportion of wins is the same for both groups, and the alternative hypothesis is that they are different.

Using the given data, we can calculate the expected frequencies under the assumption of equal proportions of wins for both groups. The expected frequency for each cell is given by (row total x column total) / grand total.

The calculated chi-square statistic is 2.667, and the degrees of freedom are (r-1)(c-1) = (2-1)(2-1) = 1.

Using a chi-square distribution table with 1 degree of freedom and a significance level of 0.05, the critical value is 3.84. Since the calculated chi-square value is less than the critical value, we fail to reject the null hypothesis.

Therefore, we can conclude that there is not enough evidence to suggest that the proportion of wins is different for teams wearing suits versus jeans and t-shirts at the 0.05 significance level.

The answer choice that corresponds to 1 degree of freedom is B

To learn more about hypothesis click on,

https://brainly.com/question/16549934

#SPJ1

Basd on the information about the triangle, DF is approximately 5.68 units long.

First, let's find the length of EF using the sine function:

sin 20° = EF / DE

cos 20° = 6 / DE

DE = 6 / cos 20°

Now that we know DE, we can solve for EF:

sin 20° = EF / DE

EF = DE * sin 20°

EF = (6 / cos 20°) * sin 20°

EF ≈ 1.95

DF^2 = DE^2 - EF^2

DF^2 = (6 / cos 20°)^2 - (1.95)^2

DF ≈ 5.68

DF is approximately 5.68 units long.

Learn more about triangles on

https://brainly.com/question/21629009

#SPJ1