Which of the following is equivalent to
the expression (i + 5)(3 + 4i)?

Answer:

180m

Step-by-step explanation:

Let L = length of field,

W = width of field,

A = field area = 2000 m^2

Lenght = Width + 10m

Let Lenght= x

Width=y

A = X ×Y = (Y + 10)Y= 2000

Y^2 + 10Y- 2000 = 0

Solving using Quadratic eqn with plot

Y= 40 or -50 but we go for the positive root

Width=40m

Length= 40m +10m

= 50m

Perimeter= 2(l+w)

=2(50+40)

180m

Hence, the perimeter is 180 m

CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT

Answer:

JP = 36

Step-by-step explanation:

Answer:

36 length unit

Step-by-step explanation:

if p is the centroid

then JP = ⅔ JN

then JP = ⅔ × 54 = 36 length unit

Answer:

33.89

Step-by-step explanation:faci regula de 3 simpla

1 euro....... 1,475 usd

X euro....... 50 USD => x = 50/1.475 = 33,89

Answer:

Step-by-step explanation:

1. Eggs are sold at a price of P 105.00 per dozen.

Rate = [tex]\frac{1}{105}[/tex]

2. The carpentry job can be done by 3 carpenters in 4 days.

Rate at which each carpenter works = [tex]\frac{4}{3}[/tex] = 1[tex]\frac{1}{3}[/tex] days

This shows that each carpenter worked for an average of 1.3333 days to complete the job.

3. Five tickets are sold at P 600.00

The price for one ticket = [tex]\frac{600}{5}[/tex]

                                       = 120

One ticket is sold for P 120.00.

4. The dollar's rate is P 52.00.

This implies that;

1 dollar = P 52.00

dollar rate = [tex]\frac{1}{52}[/tex]

5. The ratio of water to milk in the recipe is 1 to 4.

This implies that to 1 measure of water, 4 measures of milk is used in the recipe.

rate = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

....................

Answer:

3750

Step-by-step explanation:

25,000 = 100%

20% accomodation

50% household

15% transportation

Saved=100%-20%-50%-15%=15% left saved

15% of 25,000=3750

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Answer:

(3y - 1)(y - √3)(y + √3)

Step-by-step explanation:

Factor by grouping.

3y³ - y² - 9y + 3

= (3y³ - y²) - (9y - 3)

= y²(3y - 1) - 3(3y - 1)

= (3y - 1)(y² - 3)

= (3y - 1)(y - √3)(y + √3)

Answer:

Inverse Property of Addition

Step-by-step explanation:

Any problems that will go into the inverse property of addition must equal 0.  In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.

Answer:

Yes, 4 is the constant of proportionality

Step-by-step explanation:

The constant of proportionality here is the value you multiply x by to get y. if you divide 12/3, 24/6, 36/9, 60/15, the answer to all of those is 4. Because the multiplier is the same for each one they are all proportional.

Answer:6b+16

Step-by-step explanation:

Answer:

6b + 16

Step-by-step explanation:

-2(3b - 8) + 12b --> Question

-6b + 16 + 12b --> Distributed -2 to the parenthesis

(-6b + 12b) + 16 --> Combined Like Terms

6b + 16 --> Simplified

Hope this answered your question! <3

Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss

b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.

c) Malia runs 5 miles in 1 hour

Step-by-step explanation:

Answer:5 : 3

Step-by-step explanation:

Answer:

12:20

Step-by-step explanation:

12 boys: 20 girls

Answer:

ngl ion even know

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Option 2,all the given sets have their members occuring

Answer:

c = (total points earned in best game / points per can knocked down)

c = 12

Step-by-step explanation:

Given that :

Points earned per knockdown = 7

Total points earned in best game = 84

Number of cans knocked down, c

c = (total points earned in best game / points per can knocked down)

c = 84/ 7

c = 12

Answer:

y = -1/5x + 2

Step-by-step explanation:

y = mx + b

m (slope) = -1/5

b (y-intercept) = 2

y = -1/5x + 2

Answer:

Divide

Step-by-step explanation:

Divide 24 into how many friends there are.

Answer:

8 * 3 = 24

Step-by-step explanation:

Answer:

3054

Step-by-step explanation:

4/3 πr³

4/3 × 3.14 × 9³

3054

Answer:

-5 and -1

Step-by-step explanation:

Factoring, we get y = (x+5)(x+1)

So x = -5 or -1

Or, you could've used the quadratic formula, thought it is slower.

Answer:

3 days

Step-by-step explanation:

320-50 = 270

270/90 = 3

Answer:

perimeter of the larger rectangle would be 30, since the ratio of the larger rectangle is double the ratio of the small rectangle, you would have to double the peri. of the small rect. to get the peri. of the large rect.

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Answer:

We conclude that the rule for the table in terms of x and y is:

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

Finding the slope between (-2, -4) and (-1, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]

[tex]m=3[/tex]

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

Answer:

5(3) 5(2)

Step-by-step explanation:

You would use the distributive property by doing

5(3) 5(2)

15 + 10

25

Answer:

6 is the largest -7 is the smallest

Step-by-step explanation:

Answer: Neighborhood Bank - 0.65% interest, compounded weekly

Step-by-step explanation:

The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

Given that Gail has $5,500 that she wants to put in a new savings account.

Neighborhood Bank - 0.65% interest, compounded weekly

Beautiful Day Bank - 0.65% interest, compounded daily

Thus, $5,500 x 0.65% = $35.75

$35.75 a day times 360 days = $12870

$12870 times 20 = $257,400.

$257,400 times 20 = $514800 (16.2mil)

Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

Learn more about compound interest here:

https://brainly.com/question/1329401

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Answer:

a is the correct answer i just took the test

Answer: No, because group B should be rhe control group

Step-by-step explanation:

Answer:

D

Step-by-step explanation: