-8x+3=8x+27 I need help plz I’m trash at math

Answers

Answer 1

Answer:

-1.5

Step-by-step explanation:

See steps below:

-8x+3=8x+27-8x + 3 - 8x - 3 = 8x+ 27 - 8x - 3          ⇒ add -8x - 3 to both sides in order to collect like terms in the different sides of equation-16x = 24                                               ⇒ simplifiedx= 24/-16                                               ⇒ dividex= - 1.5                                                   ⇒ answer

Related Questions

3/5 + (-1/5)

A. -2/5
B. 4/5
C. 2/5

Answers

Answer:

C

Step-by-step explanation:

3/5 + (-1/5) =(3-1)/5=2/5

3/5+(-1/5)

3/5-1/5

3-1/5

2/5

C.2/5 ✔️

the difference in the measure of 2 complementary angle is 12 degrees. Find the measure of the angles.​

Answers

Answer:

39

Step-by-step explanation:

Let one angle be x

Then,

Its complementary angle will be =(90-x)

ATQ,

x-(90-x)=12

x-90+x=12

x+x=12+90

2x=102

x=102/2

x=51

Thus,

x=51

(90-x)=(90-51)=39

Hope it helped u if yes mark me BRAINLIEST.. Plz!

Tysm!

A video game was discounted and now costs two thirds of its original
price. If it originally cost $45, how much does it cost now?

Answers

The original price is 45.

It now costs 2/3 of 45.

[tex]\frac{2}{3} * \frac{45}{1} = \frac{90}{3}[/tex]  or 30

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

The video game will now cost $30

Step-by-step explanation:

Original price: $45

45 ÷ 3 = $15

15 x 2 = $30

Hope this helps!

if the 3rd and 9th term of an ap are 4 and -8 respectively then which term of AP is zero​

Answers

Answer:

fifth term

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 4 and a₉ = - 8 , then

a₁ + 2d = 4 → (1)

a₁ + 8d = - 8 → (2)

Subtract (1) from (2)

6d = - 12 ( divide both sides by 6 )

d = - 2

Substitute d = - 2 into (1)

a₁ + 2(- 2) = 4

a₁ - 4 = 4 ( add 4 to both sides )

a₁ = 8

Thus equating the n th term formula to zero and solving for n

8 - 2(n - 1) = 0 ( subtract 8 from both sides )

- 2(n - 1) = - 8 ( divide both sides by - 2

n - 1 = 4 ( add 1 to both sides )

n = 5

The fifth term is equal to zero

Identify a pattern and find the next number in the pattern.
-0.4, -1.2, -3.6, -10.8

Answers

Answer:

-32.4

Step-by-step explanation:

-1.2/(-0.4) = 3

-3.6/(-1.2) = 3

-10.8/(-3.6) = 3

Each new terms is the previous term multiplied by 3.

-10.8 * 3 = -32.4

PLEase help please help

Answers

Answer:

10 m

Step-by-step explanation:

490[tex]\pi[/tex]=[tex]\pi[/tex](7²)h

490[tex]\pi[/tex]/[tex]\pi[/tex]49=h

10=h

three signals that beep.
signal a beeps every 25 seconds
signal b beeps every 30 seconds
signal c beeps every 100 seconds.
The three signals start beeping at the same time.
How many times in one hour will the three signals beep?

Answers

Answer:

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

The number of times three signals bee in one hour = 12 times

Step-by-step explanation:

The given parameters are;

The period for each signals beep are;

Signal a beeps every 25 seconds

Signal b beeps every 30 seconds

Signal c beeps every 100 seconds

Therefore, in one hour, signal a will beep 1× 60 × 60/25 = 3600/25 = 144 times

In one hour, signal b will beep 1×60×60/30 = 3600/30 = 120 times

In one hour, signal c will beep 1×60×60/100 = 3600/100 = 36 times

Therefore, we have;

The number of times signal a beeps in 1 hour = 144 times

The number of times signal b beeps in 1 hour = 120 times

The number of times signal c beeps in 1 hour = 36 times

From Excel, we can see that the three signals beep the same time at 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000, 3300, and 3600

The number of times three signals bee in one hour = 12 times

signal a beeps every 25 seconds

signal b beeps every 30 seconds

signal c beeps every 100 seconds.

Answer to the above questions is 300,600,900 if the signal beep at the same time 12 times

Explanation to the above questions

One hour contains 3600 secondsSignal a beep 3600/25=144Signal b beep 3600/30=120signal c beep 3600/100=36At the same time all the signal beep than 144+120+36=300

we conclude that it will beep 12 times because 300,600,900,1200,1500,1800,2100,2400,2700,3000,3300,3600

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Write an equation of a line whose slope is -2 and whose crosses the y-axis
at 5

Answers

Answer:

2x + y = 5 is the required equation.

Step-by-step explanation:

using slope intercept form,

i.e. y = mx + c

or, y =( -2 ) x + 5

or, y + 2x = 5

Will Give Brainliest. Answer ASAP please

Answers

Answer:

1) Arc length = 2πr ( Ф/360)

                 = 2 × 22/7 × 15 (120/360)

                 =  44/7 × 15 (1/3)

                 = 44 × 5/7

                 = 31.428 in

2) Arc length = 2πr ( Ф/360)

                     =  2 × 22/7 × 14 (90/360)

                     =  44/7 × 14 ( 1/4)

                     = 616/7 × (1/4)

                     = 88 (1/4)

                     = 22 yards

Hope it helps!!!

                 

Measures of two supplementary angles are consecutive odd integers find the angles ​

Answers

☀️ Solution:

Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.

We have,

Two consecutive odd angles.They are supplementary[tex].[/tex]

Let,

One of the angles be xThen, other angle will be x + 2°

Then,

➝ x + x + 2° = 180°

➝ 2x + 2° = 180°

➝ 2x = 178°

➝ x = 89°

Other angle = x + 2° = 91°

Answer - 89° and 91°

⚘ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Answer:

Step-by-step explanation:

Let the numbers are x, x+1

The sum of supplementary angles is 180°

X+x+1=180

2x+1=180

2x=180-1

2x=179

X=179/2

X=89.5

X+1=89.5+1=90.5

The integers are 89.5,90.5

which expressions are equivalent to 1/4 -2/3-(1/2+5/6)

Answers

Answer:

Fraction Equivalent Fractions

4/5 8/10 12/15

1/6 2/12 3/18

5/6 10/12 15/18

1/7 2/14 3/21

Step-by-step explanation:

We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication.

Step-by-step explanation:

The expression 1/4 - 2/3 - (1/2 + 5/6) is equivalent to -7/4.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

The given expression is,

1/4 - 2/3 - (1/2 + 5/6)

To solve the expression, first simplify bracket term,

1/4 - 2/3 - (8/6)

(3 - 8)/12 - 8/6

-5/12 - 8/6

-21/12

-7/4

The simplified form of the expression 1/4 - 2/3 - (1/2 + 5/6) is -7/4.

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When two fair 6-sided dice are tossed, the numbers $a$ and $b$ are obtained. What is the probability that the two digit number $ab$ (where $a$ and $b$ are digits) and $a$ and $b$ are all divisible by 3?

Answers

Answer:  1/9

=================================================

Explanation:

If either a or b (or both) are multiples of 3, then so is a*b

Consider 'a' being a multiple of 3. This means a = 3k for some integer k. Multiply both sides by b to get ab = 3k*b, and we see that 3 is a factor of ab, making ab to be a multiple of 3.

----------

There are six sides to the dice and those sides are {1,2,3,4,5,6} of which only {3,6} are multiples of 3.

If we want both dice to be multiples of 3, then the possible outcomes are

(3,3)(3,6)(6,3)(6,6)

There are four outcomes. This is out of 6*6 = 36 total outcomes overall.

Dividing the values gives 4/36 = 1/9 as the probability we want

----------

Side note: for a roll like (a,b) = (6,3) we see that a*b = 6*3 = 18, which is a multiple of 3. The same happens with the other three (a,b) pairings mentioned above.

what is the density of carbon dioxide gas if 0.196 g occupies a volume of 100ml?​

Answers

Answer:

The answer is 2

Step-by-step explanation:

plz mark as brainliest

Combine Like terms of y+ 3y

Answers

Answer:

4y

Step-by-step explanation:

To combine like term, add the coefficient of each term

Coefficient of y = 1

Coefficient of 3y = 3

y + 3y = 4y

A box contains 4 red pencils, 3 blue pencils, and
3 yellow pencils. What is the probability that a
student randomly selects a blue pencil, keeps it,
and then a second student randomly selects a
yellow pencil? *

Answers

Step-by-step explanation:

Red=4

Blue=3

Yellow=3

Total=10

Pr(BY) without replacement= 3/10 *3/9

=6/90

=1/15

A cylinder has a height of 5.3 cm and a diameter of 3.0 cm. What is its volume? (Hint: Volume of a cylinder = r2h ) 25.0 cm3 66.2 cm3 149.9 cm3 37.5 cm3

Answers

Answer:

37.5 cm³ .

Step-by-step explanation:

h = 5.3 cm

diameter = 3 cm

r = 3/2 = 1.5 cm

Volume of cylinder = πr²h   {Plug in the values of h & r }

                               = 3.1428 * 1.5 * 1.5 * 5.3

                               = 37.5399

                               = 37.5 cm³

Answer:

37.5cm3

Step-by-step explanation:

Diameter = 3cm

Radius = 3cm÷2

= 1.5cm

Volume of cylinder= πr²h

= π(1.5²)+5.3

= 37.5 (3 S.F.)

4x - 2y +z = 6, -2x + y = -4, 3y - 2z = 4 x= y= z=

Answers

67, 56,5,5,5,445,5,5,5

The required simplified value of x, y,  and z is 2, 2, and 2.

Given that,
The system of the equation is given
4x - 2y +z = 6,
-2x + y = -4,
3y - 2z = 4
And also x= y= z

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.


Here,
Since, x = y = x
taking any one equation
4x - 2y +z = 6
Now,
4x - 2x + x = 6
3x = 6
x = 2

Thus, the required simplified value of x, y,  and z is 2, 2, and 2.

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Square RSTU is inside trapezoid RSVU. What is the measure, in degrees, of angle VSR? R. REN T Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or decimal. Your answer​

Answers

Answer:

135°

Step-by-step explanation:

m<VSR = m<RST + m<VST

Each angle at the vertices of a square is equal to 90°. <RST is one of the vertices of square RSTU, therefore,

m<RST = 90°

also, m<VST = 90 - 45 = 45°

m<VSR = m<RST + m<VST

Thus:

m<VSR = [tex] 90 + 45 = 135 [/tex]

Measure of angle VSR is 135°

The angle VSR will be equal to 135°.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

m∠VSR = m∠RST + m∠VST

Each angle at the vertices of a square is equal to 90°. ∠RST is one of the vertices of square RSTU, therefore,

m∠RST = 90°

also, m∠VST = 90 - 45 = 45°

m∠VSR = m∠RST + m∠VST

Thus:

m∠VSR = 135

Therefore the measure of angle VSR is 135°

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Using the equation F = ma, find the acceleration (a) of a 15 kg mass (m) that is acted on by 3 Newtons of Force (F). Group of answer choices

Answers

Answer:

Step-by-step explanation:

Yes

Answer:

a = 0.20 m/s²

Step-by-step explanation:

F = 3 N

m = 15 kg

F = m * a

find mass m:

3 = 15 * a

a = 3 / 15

a = 0.20 m/s²

Josh is at the airport and calls for a Uber. He knows the driver will charge $10 to pick
him up and $3 per mile he will drive from the airport to home . if T(x) is the total cost
which equation models this situation
T(x) = 10 + 3x
The answer is not
here
T(x) =13x
T (X) = 10x + 3

Answers

Answer:

the answer is 10 +3x

Step-by-step explanation:

"the answer is not here" what do you mean

Which is 65% of 35??

Answers

Answer:

22.75 .

Step-by-step explanation:

65 x 35  / 100 = 22.75.

The percentage expression 65% of 35 is 22.75

How to evaluate the percentage expression

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

65% of 35

Express as products

So, we have the following representation

65% of 35 = 65% * 35

Express 65% as 0.65

So, we have the following representation

65% of 35 = 0.65 * 35

Evaluate the products

So, we have the following representation

65% of 35 = 22.75

Hence, the solution is 22.75

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i need the answer please i've tried working it different ways and i just don't get it​

Answers

Answer:

tan A  = 12/ 35

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = CB/ AB

tan A  = 12/ 35

de
Find the value of x in the isosceles triangle shown below.
eelin
13
13
00
ablem
T
1 Sumi
Eles bet
10

Answers

I don’t understand what the problem is, do you have a picture?

(3x2+2x+ 4)- (x2+ 2x+1)=

Answers

I think it is 43 because you have to take it and add them I think
Same ^
I think it’s 43 ‍♀️‍♀️ not sure exactly.

Solve using the Addition Method.

5x/6 + y/3 = 4/3

2x/3 - y/2 = 11/6

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

5x/6 + y/3 = 4/3

2x/3 - y/2 = 11/6

Multiply the above equation by 6 to express in linear form

6 × (5x/6 + y/3 = 4/3)

5x + 2y = 8.... (1)

6 × (2x/3 - y/2 = 11/6)

4x - 3y = 11.... (2)

Thus, the equation are:

5x + 2y = 8.... (1)

4x - 3y = 11.... (2)

Next, multiply equation (1) by 3 and equation (2) by 2. This is illustrated below:

3 × (5x + 2y = 8)

15x + 6y = 24 ..... (3)

2 × (4x - 3y = 11)

8x - 6y = 22 ... (4)

Next, add equation 3 and 4 together. This is illustrated below:

.. 15x + 6y = 24... (3)

+ 8x - 6y = 22 .... (4)

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

23x = 46

Divide both side by 23

x = 46/23

x = 2

Next, substitute the value of x into any of the equation. Here, we shall substitute the value of x into equation (3). This is illustrated below:

15x + 6y = 24... (3)

x = 2

15(2) + 6y = 24

30 + 6y = 24

Collect like terms

6y = 24 - 30

6y = - 6

Divide both side by 6

y = - 6/6

y = - 1

Therefore, the value of x and y is

x = 2

y = - 1

2. How do you find P(A or B) if A and B are independent events for one action, such as spinning a four-color spinner once and finding P(red or blue)?

Answers

Answer:

P(red or blue) = [tex]\frac{7}{16}[/tex].

Step-by-step explanation:

We have to find P(A or B), if A and B are independent events for one action, such as spinning a four-color spinner once.

Firstly, as we know that the formula for finding P(A or B) is given by;

P(A or B) = P(A) + P(B) - P(A and B)

Since it is stated that event A and B are independent, this means that there is no dependence of any one event on another event, so;

P(A and B) = P(A) [tex]\times[/tex] P(B)

Now, we can find P(A or B) = P(A) + P(B) - P(A) [tex]\times[/tex] P(B); is we know that the probabilities of happening of both events.

Similarly, P(red or blue) = P(red) + P(blue) - P(red) [tex]\times[/tex] P(blue).

Since the event is spinning a four-color spinner once and assuming there are four different colors, so the probability of wheel stopping on each color is ([tex]\frac{1}{4}[/tex]).

So, P(red or blue) = [tex]\frac{1}{4} +\frac{1}{4} -(\frac{1}{4} \times \frac{1}{4} )[/tex]

                             = [tex]\frac{2}{4} -\frac{1}{16}[/tex]  = [tex]\frac{7}{16}[/tex].

You want to buy birthday hats, cards, and teddy bears for your best friends birthday party. You buy the products for wholesale prices, from the local party store.

The hats cost $2.50, cards cost $0.90, and the teddy bears cost $3.10. You want to decorate each item for the party and the decorations for the hats cost $1.50, the decorations for the cards cost $0.60, and the decorations for the teddy bears cost $1.70.

In your own words, explain how you would construct a matrix to contain this data. Make sure you include the size and shape of the matrix and your logic for your construction methods.

Answers

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?

Answers

Answer: To have a real number in the denominator

Step-by-step explanation:

Ok, a quotient between two complex numbers can be written as:

[tex]\frac{A + Bi}{C+Di}[/tex]

Now, when we do these types of divisions, we multiply and divide by the same number (so in essence we are multiplying by one) that is the conjugate of the denominator.

Remember that for a complex number:

Z = A + Bi

the conjugate is = A - Bi.

Then, wen we multiply the denominator by it's conjugate, we have:

(C + Di)(C - Di) = C^2 + D*C*i - D*C*i + (D*i)*(-D*i) = C^2 + D^2

So now we have a real number in the denominator (the imaginary part of this number is equal to zero)

So the answer to the question is:

"To have a real number in the denominator"

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-column table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. Which model best represents the data?

Answers

Answer:

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

Considering the situation described, it is found that a linear model best represents the data, because there is a relatively consistent additive rate of change.

When to use a linear model and when to use an exponential model?If the rate of change is additive, that is, the difference between consecutive terms is the same, a linear model is used.If the rate of change is multiplicative, that is, the quotient between consecutive terms is the same, an exponential model is used.

In this problem, when the input changes by 2, the output always increases between approximately 50 and 60, that is, the same values, hence a linear model best represents the data, because there is a relatively consistent additive rate of change.

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2. What is the area of the shaded region below? Notice
that the angle is 120 degrees and the radius of the
circle is 8 inches.
8
120

Answers

Answer:

Approximately 67 square inches.

Step-by-step explanation:

The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

And the sector area of a circle is given by the formula:

[tex]A=\frac{x\textdegree}{360\textdegree}(\pi r^2)[/tex]

Where x is the degree measurement of the sector.

We want to find the sector of the circle with a radius of 8. The degree measurement of the sector is 120. Therefore, plug 8 in for r and 120 for x:

[tex]A=\frac{120\textdegree}{360\textdegree}(\pi(8)^2)[/tex]

The fraction reduces to 1/3. 8^2 is 64:

[tex]A=\frac{1}{3}(64\pi)[/tex]

This is equivalent to:

[tex]A=\frac{64}{3}\pi\\ A\approx67.0206 \text{ in}^2[/tex]

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the first universal ruler was A. Genghis khan B. Ger Khan c. kublain khan D. phax khan Need help Language arts John and 4 friends are going out for pizza. They split one pizza and5 drinks. The pizza cost $12.50 and they spent a total of $19.25. PLEASE HELP What is 16,448 written in scientific notation? A. 1.6448 x 10 B. 16.448 x 10 C. 1.6448 x 10 D. 1.6448 x 10 A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value? algebra Which if the following describes quality Unalienable rights contemporary example Herrindale Mart borrows $420,000 on July 1 with a short-term loan that has an annual interest rate of 5% which is payable on the first day of each subsequent quarter. What will Herrindale Mart need to accrue on August 31, assuming that no accrual has yet been made andrew returned for his follow-up visit last week with increased pain and edema in his right knee and was scheduled for an arthroscopy. he presents to the surgical center today for a right knee diagnostic arthroscopy with synovial biopsy. anesthesia is being performed on this 72-year-old male patient by a crna with medical supervision by a physician. other than osteoarthritis, andrew has essential hypertension, which is well-controlled. postoperatively the patient was placed in a prefabricated canvas longitudinal knee immobilizer What argument did some anti-imperialists use about the morality of expansion? A. The United States should bring freedom and liberty to other countries B. The United States would be able to run other countries more efficiently C. The United States had fought a war against a controlling colonial power D. The United States was committing a crime by expanding to other countries PLEASE HELP!! Im really struggling with commands can someone please help me?Imagine that your friend Pedro is going to a tropical forest in Venezuela and needs some advice on how to best enjoy his trip. Since youve studied this area, you are going to give him some travel tips. Using the groups of words below, compose five informal t commands. Remember to write the command in the negative if the word no appears before the verb.11. no / tocar / nada 12. preguntar / les / muchas cosas / a / los / guas 13. no / te / poner / un suter 14. escribir / me / una carta15. sacar / te / muchas fotos The long-term and short-term carbon cycles are connected by the fact that some of the carbon contained in C6H12O6 (or other organic molecules) in plants is incorporated into sedimentary rocks or oil; carbon in sedimentary rock and oil is not immediately cycled back to the atmosphere.a. Trueb. False What is the main responsibility of a phlebotomist? What was one reason the number of enslaved Africans in the Americas increased?A) American demand for goods produced in African villagesB) European demand for crops grown by American plantationsC) African demand for goods manufactured in the American coloniesD) Native American demand for labor to produce food for a growing population What is the term for an identification procedure in which a witness happens to see the defendant in custody, say outside the courtroom or in the police station You have arranged some directories and files as follows:/home/yourLoginName/docs/a.txtb.txtassts/cs150/a0.cppcs250/adataa1.ha1.cppa2.ha2.cppYou have just issued the command:cd ~/assts/cs150Which of the following are valid ways to copy all of the header files from the cs250 directory into the cs150 directory?a) cp ../cs250/* ../cs150b) cp ../cs250 cs150c) cp ../cs250/*.? .d) cp ../cs250/*.* cs150e) cp ../cs250/*.h cs150f) cp ../cs250/*.h . What will the following loop display? 0 1 2 3 4 5 0 1 2 3 4 0 1 2 3 4 The loop will display numbers starting at 0, for infinity. The following are the 20X2 transactions of the Midwest Heart Association, which has the following funds and fund balances on January 1, 20X2: Unrestricted net assets $ 281,000 Temporarily restricted net assets 87,000 Permanently restricted (endowment) net assets 219,000 1. Had Unrestricted pledges totaling $700,000, of which $150,000 is for 20X3 and uncollectible pledges estimated at 8 percent. 2. Had restricted use grants totaling $150,000. 3. Collected a total of $520,000 of current pledges and wrote off $30,000 of remaining uncollected current pledges. 4. Purchased office equipment for $15,000. 5. Used unrestricted funds to pay the $3,000 mortgage payment due on the buildings. 6. Received interest and dividends of $27,200 on unrestricted investments and $5,400 on temporarily restricted investments. An endowment investment with a recorded value of $5,000 was sold for $6,000, resulting in a realized transaction gain of $1,000. A donor-imposed restriction specified that gains on sales of endowment investments must be maintained in the permanently restricted endowment fund. 7. Recorded and allocated depreciation as follows: Community services $ 12,000 Public health education 7,000 Research 10,000 Fund-raising 15,000 General and administrative 9,000 8. Had other operating costs of the unrestricted current fund: Community services $ 250,600 Public health education 100,000 Research 81,000 Fund-raising 39,000 General and administrative 61,000 9. Received clerical services totaling $2,400 donated during the fund drive. These are not part of the expenses reported in item 8. It has been determined that these donated services should be recorded. Required: a. Prepare journal entries for the transactions in 20X2 b. Prepare a statement of activities for 20X2. The Laurier Companys brand has a market share of 30%. Suppose that 1,000 consumers of the product are asked in a survey which brand they prefer. What is the probability that more than 32% of the respondents say they prefer the Laurier brand? If it takes Tim 20 minutes to bike 6 miles, how many minutes will it take him to bike 144 miles?