construct ABCD with AB =5.5cm BC=3.5cm,CD=4cm,AD=5cm, and angle A=45°, with construction steps​

The collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes: {1, 4}, {2, 3}, {3, 2}, {4, 1}.

To find the number of outcomes in the event of rolling a sum of 5, we need to determine all the possible ways to get a sum of 5 when rolling two number cubes.

There are several ways to get a sum of 5

The first cube lands on 1 and the second cube lands on 4.

The first cube lands on 2 and the second cube lands on 3.

The first cube lands on 3 and the second cube lands on 2.

The first cube lands on 4 and the second cube lands on 1.

Therefore, the collection of outcomes for the event e of rolling a sum of 5 contains 4 possible outcomes

{1, 4}, {2, 3}, {3, 2}, {4, 1}

So, there are 4 outcomes in the collection for event e.

Learn more about possible outcomes here

brainly.com/question/19567251

#SPJ4

The sum of two numbers is 18.

Let greater number be x and lesser number be y.

It is given that two times the greater number equals the sum of 4 times the lesser number and 6

Hence the correct option is b.

Answer:

the second one.its a parallelogram

In order to do well on BYU Calculus BC Explorations, you should have a solid understanding of the basic principles of calculus.

This includes understanding derivatives and integrals, as well as the fundamental theorem of calculus. Additionally, it is important to have a strong background in basic algebra and trigonometry, as these skills will be necessary for working with functions and equations. When solving problems, it is important to read the problem carefully and identify what type of calculus concept is being asked for. Once the concept is identified, you can use formulas and calculations to solve the problem. By working through problems in a systematic and logical way, you can make sure that you arrive at the correct answer.

Learn more about fundamental theorem of calculus here:

https://brainly.com/question/2293034

#SPJ4

Complete question:What is the best way to do well on BYU Calculus BC Explorations?

Answer:

hi

Step-by-step explanation:

Answer:

I have a question do you have a screen shot and maybe I can help but if you dont ill still help :)

Step-by-step explanation:

Step-by-step explanation:

Step by Step Solution

More Icon

STEP

1

:

Equation at the end of step 1

(((7 • (x3)) + 2x2) - 21x) - 6

STEP

2

:

Equation at the end of step

2

:

((7x3 + 2x2) - 21x) - 6

STEP

3

:

Checking for a perfect cube

3.1 7x3+2x2-21x-6 is not a perfect

Answer:

\( A(\triangle ABC) = 7.2\: units^2 \)

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

\( AC= \sqrt{(0-0)^2 +(7-1)^2} \)

\( AC= \sqrt{(0)^2 +(6)^2 }\)

\( AC= \sqrt{0 +36 }\)

\( AC= \sqrt{36 }\)

\( AC= 6\: units\)

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

\( CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } \)

\( CB =\frac{|0-7+1|}{\sqrt {4 +1} } \)

\( CB =\frac{|-6|}{\sqrt {5} } \)

\( CB =\frac{6}{2.24} \)

\( CB =2.68\: units \)

By Pythagoras Theorem:

\( AB=\sqrt{AC^2 - CB^2} \)

\( AB=\sqrt{6^2 - (2.68)^2} \)

\( AB=\sqrt{36 - 7.18} \)

\( AB=\sqrt{28.82} \)

\( AB=5.36842621\: units \)

\( AB\approx 5.37\: units \)

\( A(\triangle ABC) = \frac{1}{2} \times AB\times CB\)

\( A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68\)

\( A(\triangle ABC) = \frac{1}{2} \times 14.3916\)

\( A(\triangle ABC) = 7.1958\)

\( A(\triangle ABC) = 7.2\: units^2 \)

Hope it be correct.

Option 3) The number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.

(b) Justification: Initially, Jar-A has 380 red jelly beans and Jar-B has 380 black jelly beans. When you scoop 20 red jelly beans from A and put them into B, Jar-B has 380 black jelly beans and 20 red jelly beans. After shaking, you scoop 20 jelly beans from B and put them into A. Since you took out 20 jelly beans from B, it will still have 380 jelly beans. The probability of picking a red jelly bean from B is now 20/380, so you can expect to return approximately

(20/380) × 20 = 20/19 ≈ 1 red jelly bean to A, leaving 19 red jelly beans in B.

Similarly, you can expect to have 20 - 1 = 19 black jelly beans in A,

as you scooped out 20 jelly beans from B. Therefore, the number of red jelly beans expected in B and the number of black jelly beans expected in A are the same.

To learn more about number click here

brainly.com/question/17429689

#SPJ11

Answer:

Sample because it's only the first ten games of the season not of all the games in the season

Step-by-step explanation:

Answer:

Sample but the power of a study is its ability to detect an effect when there is one to be detected. ... A sample size that is too small increases the likelihood of a Type II error skewing the results, which decreases the power of the study.

Within accompaniment order to be a population then it would need to be justifiable to be comparable to a larger cross section same teams different players that could be at the end of the season, and a population that shows cross section of change, such as the inevitable and include distractions that occur in sports as season starts and progresses till end. Examples of this would include ie) playing with man down etc. or against a team with man down or during penalties etc..

It only becomes a population when it defines all home games only being used as a population as this would show less distraction for each team. Which would be unlikely event in first 10 games, just like it would be unfair to not show the differences for away games within a population.

The higher proportion showing the whole season, thereafter would show population as things change too fast in seasonal events.

The solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

To solve the equation 3e^(2x) + 5 = 27 using natural logarithms, we can follow these steps:

Step 1: Subtract 5 from both sides of the equation:
3e^(2x) = 22

Step 2: Divide both sides of the equation by 3:
e^(2x) = 22/3

Step 3: Take the natural logarithm (ln) of both sides of the equation:
ln(e^(2x)) = ln(22/3)

Step 4: Apply the property of logarithms that states ln(e^a) = a:
2x = ln(22/3)

Step 5: Divide both sides of the equation by 2:
x = ln(22/3)/2

Using a calculator, we can evaluate ln(22/3) to be approximately 2.72.

Therefore, x = 2.72/2 = 1.36.

So, the solution to the equation 3e^(2x) + 5 = 27 is x = 1.36.

Know more about natural logarithms here,

https://brainly.com/question/29154694

#SPJ11

There are two ways to find the remainder when a polynomial in x is divided by a binomial of the form x-r, the use of synthetic division or calculate P(r).

Synthetic division

The Synthetic division is a shortcut way of polynomial division, especially if we need to divide it by a linear factor. It is generally used to find out the zeroes or roots of polynomials and not for the division of factors.

Polynomial

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Learn more about polynomial here :-

https://brainly.com/question/11536910

#SPJ4

The slope of the line is -4 which represents the swimmer will complete 4 laps per minute.

Here, we have,

In real world scenario it means how many laps they can complete per minute.

Let us consider the coordinate on the y-axis and the x-axis be ,

( x₁ , y₁ ) = ( 0, 24 )

( x₂ , y₂ ) = ( 6, 0)

The slope of a line represents the rate of change between two variables.

Here, the slope of the line represents the rate at which the number of laps remaining changes with respect to time.

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

        = ( 0 - 24 ) / ( 6 - 0 )

        = -4

Since the slope of the line is -4, this means that for every one minute that passes.

The swimmer completes 4 laps since the slope is negative, the number of laps remaining decreases as time increases.

So in this scenario, the slope of the line tells us that the swimmer is completing laps at a rate of 4 laps per minute.

And that they will finish the race after 6 minutes when they have completed all 24 laps.

Therefore, slope of line is -4 represents the swimmer's lap completion rate which means swimmer will complete 4 laps every minute.

learn more about slope here

brainly.com/question/31709670

#SPJ1

Answer:

The slope of the line is -1/2, which means that the swimmer completes a lap in 1/2 of a minute

Step-by-step explanation:

The answers to the problem are:

The absolute maximum value is at x = -4.

The absolute minimum value is at x = -5.

To find the absolute maximum and minimum values of the function f(x) = (1/3)x^3 + (3/2)x^2 - 4x + 5 over the interval [-5, 3], we need to first find the critical points of the function within the interval and evaluate the function at those critical points as well as at the endpoints of the interval.

To find the critical points, we need to find the values of x where the derivative f'(x) is equal to zero or undefined. Taking the derivative of f(x), we get:

f'(x) = x^2 + 3x - 4

Setting f'(x) equal to zero and solving for x, we get:

x^2 + 3x - 4 = 0

Using the quadratic formula, we get:

x = (-3 ± √(3^2 - 4(1)(-4))) / (2(1)) = (-3 ± 5) / 2

So the critical points are x = -4 and x = 1.

Next, we need to evaluate the function at the critical points and at the endpoints of the interval:

f(-5) = (1/3)(-5)^3 + (3/2)(-5)^2 - 4(-5) + 5 = -32.5

f(-4) = (1/3)(-4)^3 + (3/2)(-4)^2 - 4(-4) + 5 = 9.333...

f(1) = (1/3)(1)^3 + (3/2)(1)^2 - 4(1) + 5 = 1.5

f(3) = (1/3)(3)^3 + (3/2)(3)^2 - 4(3) + 5 = 6.5

So we see that the absolute maximum value of the function is 9.33 at x = -4, and the absolute minimum value of the function is -32.5 at x = -5.

Therefore, the answers to the problem are:

The absolute maximum value is at x = -4.

The absolute minimum value is at x = -5.

To learn more about  quadratic formula visit:https://brainly.com/question/9300679

#SPJ11

Answer:

what could be written?

Answer:

The correct answer is 7¹⁰

Step-by-step explanation:

I think you wrote 1.7 because i wrote 1. 7¹⁰

but I meant that 1. as the first question i was answering, sorry if I wasn't clear

The nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose.

The prescribed dosage of acetaminophen is 300 mg every 4 hours as needed. The liquid suspension provides 120 mg of acetaminophen per 5 mL (1 teaspoon). To determine the number of teaspoons required for the prescribed dosage, we can set up a proportion:

120 mg / 5 mL = 300 mg / x mL

Cross-multiplying, we get:

120 mg * x mL = 5 mL * 300 mg

Simplifying, we have

120x = 1500

Dividing both sides by 120, we find:

x = 1500 / 120 = 12.5 mL

Since there are 5 mL (1 teaspoon) in each dose, we can convert 12.5 mL to teaspoons:

12.5 mL / 5 mL = 2.5 teaspoons

Therefore, the nurse should teach the parents to administer 2.5 teaspoons of the acetaminophen liquid suspension per dose to ensure the child receives the prescribed dosage of 300 mg.

Learn more about proportion here:

https://brainly.com/question/31010676

#SPJ11

Answer:

72 cm^3

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height, so

6*3*4=72

The correct statistical null hypothesis (H0) for this study is option b: fish that are exposed to the herbicide have the same average enzyme level compared to fish that are not exposed.

In the study conducted by an environmental scientist to investigate the effect of exposure to an herbicide on the levels of a particular enzyme in a species of fish (species 1), the statistical null hypothesis (H0) for this study is:
B. Fish that are exposed to the herbicide have the same average enzyme level compared to fish that are not exposed.
The null hypothesis assumes that there is no significant difference between the treatment and control groups, meaning that the herbicide has no effect on the enzyme levels in the fish.

Visit here to learn more about herbicide:

brainly.com/question/31375814

#SPJ11

Answer:

C     x+8/x² * 2x²/2x + 16

Step-by-step explanation:

THIS IS RIGHT

Answer:

Part 2 of this question is A

Step-by-step explanation:

Answer:

(up) by 6

left by 7

Step-by-step explanation:

Answer:

x = 5, -9

Step-by-step explanation:

|x+2|+4=11

|x+2|=7

x+2= -7 ⇒ x = -9

x+2= 7  ⇒ x = 5

Answer:

P = 11/135 = 0.0815

Step-by-step explanation:

we can said that:

So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:

14 + 18 + 21 + 22 + 14 + 16 + 19 = 124

Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:

P = 11/135 = 0.0815

Answer:

0.0815

Step-by-step explanation:

Answer:

1. a) rectangle, circles.

1. b) circumference.

2. half.

3. 2πr² + 2πrh

4. See below.

Step-by-step explanation:

a) The net of a cylinder is made up of one rectangle and two circles.

b) The width of the rectangle in the net of a cylinder is equal to the circumference of the circle.

The radius of a circle is half the diameter.

\(\textsf{Circumference of a circle} = \pi d=2 \pi r\)

Therefore, the formula for the surface area of a cylinder is:

\(\begin{aligned}\textsf{S.A. of a cylinder}&=\sf 2\;circles+1\;rectangle\\&=2 \pi r^2+2\pi rh\\&=2\pi r(r+h)\end{aligned}\)

where r is the radius of the circle and h is the height of the cylinder.

Note: It appears from the question sheet that they wish you to use π=3.

Also, as you need to estimate the total surface area, round any decimals to their nearest whole number before carrying out any calculations.

Please note that the formula for Area of Rectangle quoted in the example question is incorrect when comparing it to the answer of question 1b.  In the formula, it says that the length is equal to the circumference of the circle, whereas in question 1b it states that the width of the rectangle is equal to the circumference.  Therefore, I have used the correct formula for the rectangle part of the cylinder:

Given:

Area of One Circle

\(\begin{aligned} \pi \times r^2&=3 \times (5)^2\\&=3 \times 25\\&=75\; \sf cm^2\end{aligned}\)

Area of Two Circles

\(75 \times 2 = 150\; \sf cm^2\)

Area of Rectangle

\(\begin{aligned}2r \times \pi \times h&=2(5) \times 3 \times 6\\&=10 \times 3\times 6\\&=30 \times 6\\&=180\; \sf cm^2\end{aligned}\)

Total Surface Area

\(\;\;\;\;180+150\\=330\sf \; cm^2\)

Given:

Area of One Circle

\(\begin{aligned} \pi \times r^2&=3 \times (6)^2\\&=3 \times 36\\&=108\; \sf cm^2\end{aligned}\)

Area of Two Circles

\(108 \times 2 = 216\; \sf cm^2\)

Area of Rectangle

\(\begin{aligned}2r \times \pi \times h&=2(6) \times 3 \times 12\\&=12 \times 3\times 12\\&=36 \times 12\\&=432\; \sf cm^2\end{aligned}\)

Total Surface Area

\(\;\;\;\;432+216\\=648 \sf \;cm^2\)

Given:

Area of One Circle

\(\begin{aligned} \pi \times r^2&=3 \times (11)^2\\&=3 \times 121\\&=363\; \sf cm^2\end{aligned}\)

Area of Two Circles

\(363\times 2 = 726\; \sf cm^2\)

Area of Rectangle

\(\begin{aligned}2r \times \pi \times h&=2(11) \times 3\times 17\\&=22 \times 3 \times 17\\&=66 \times 17\\&=1122\; \sf cm^2\end{aligned}\)

Total Surface Area

\(\;\;\;\;1122+726\\=1848\sf \;cm^2\)

(a) When rounding 20 to the nearest integer in the range of 40, the result is 20.

(b) When rounding 15 to the nearest integer in the range of 45, the result is 20.

(c) The symbol "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) When rounding 18 to the nearest integer in the range of 42, the result is 20.

(e) When rounding 13 to the nearest integer in the range of 47, the result is 10.

(a) To round 20 to 40 to the nearest integer, we look at the digit in the tens place, which is 0. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(b) To round 15 to 45 to the nearest integer, again, we examine the digit in the tens place, which is 5. When the digit in the ones place is 5 or greater, we round up the tens digit. Thus, the rounded value is 20.

(c) The given statement "%" does not provide any specific value or context for rounding, so it is not possible to determine the rounded value.

(d) Rounding 18 to 42 to the nearest integer, we consider the tens digit, which is 2. Since it is less than 5, we keep the tens digit as it is, resulting in 20.

(e) Rounding 13 to 47 to the nearest integer, the tens digit is 4. Since the digit in the ones place is 5 or greater, we round up the tens digit. Hence, the rounded value is 50.

​for such more question on integer

https://brainly.com/question/22008756

#SPJ8

Answer:

tetrahedral

Step-by-step explanation:

According to the valence shell electron pair repulsion theory (VSEPR) the shape of a molecule is dependent on the number of electron pairs on the valence shell of the central atom in the molecule.

The predicted electron pair geometry may sometimes differ from the molecular geometry due to the presence of lone pairs and multiple bonds.

If we consider each nitrogen atom in N2 independently, we will notice that each nitrogen atom has four regions of electron density. Hence the electron pair geometry is tetrahedral.

Answer:

x = 2

Step-by-step explanation:

How to find "x"

3x = 4 + 2(3 - x) *Remove the parentheses*

3x = 4 + 6 - 2x *Calculate*

3x = 10 - 2x *Move the variable to the left*

3x + 2x = 10 *Collect the terms*

5x = 10 *Divide both sides*

x = 2

I hope the helped!!!

Answer:

-2/3

Step-by-step explanation:

Answer:

77 is the ninth term.

Step-by-step explanation:

You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.

Answer:

Question 11 would be D) 5x - 4y and Question 12 would be A) 7x + 6