The length of a rectangle is 3x^4 and the width is 5x^5. What is the
area of the rectangle? *

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy

Answer:

10 cars

Step-by-step explanation:

he can vacuum 3 cars in 17 minutes

so in 1 hour its (60/17) x 3

Or you can do 17/3 for how long it takes to clean 1 car

then divide 60 by that number, you round down for both since you don't complete the car if its a decimal

Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

Answer:

Step-by-step explanation:

a b

Answer:          $9.00

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

Answer:

The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm

Step-by-step explanation:

Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure

What we need here is the set of numbers which can be rounded to 6 cm

From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm

So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm

The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.

The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.

A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.

From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.

So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.

Learn more about a line segment here:

https://brainly.com/question/25727583

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.

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

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

------------

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation:

Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

Answer:

4940

Step-by-step explanation:

well you simply just multiply 9.5 by 520

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

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

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

Answer:

The slope of the line is  [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given parameters:

                       A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line;  we use the expression below:

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

      Slope  = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]

     Slope  = [tex]\frac{3}{8}[/tex]

The slope of the line is  [tex]\frac{3}{8}[/tex]

Answer: 1406.25

Step-by-step explanation:

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Given that:

Area of soccer field = 9000 sq yards

Soccer field takes up 6 2/5 square inches on the map of park

Hence,

9000 yd² = 6 2/5 in²

Let 1 in² on map = m

9000 yd² = 32/5 in² - - - (1)

m = 1 in² - - - (2)

Cross multiply ;

6.4 * m = 9000

m = 9000/6.4

m = 1406.25

Hence,

1 in² on map = 1406.25 feet²

900

Answer:

495km

Step-by-step explanation:

180 km in 4 hours means x km in 11 hours.

Cross multiply and you'll find x as 495 km

Answer:

I believe its -7/5 unless they want -7/-5

Step-by-step explanation:

(4,3) (-1,-4)

X1,y1 x2,y2

And it should be

Y2-y1

X2-x1

-4-3 = -7

Over

-1-4 = -5

So -7/5 or -7/-5 whatever your teacher perfers

Hope this helps

Answer:

Im pretty sure its 6.40 units

Step-by-step explanation:

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:

1) [tex]2\cdot x >10[/tex] Given

2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]

But if [tex]c < 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]

Hence, correct answer is A.

Answer:

P= $2.75

Step-by-step explanation:

So first we need to create our system of equations

since each popcorn is 0.40 less than each drink we can make the equation:

D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.

Next, we create the overall equation:

$24.00 = 3P + 5D

Now plug in D from the first equation into the second equation:

$24.00 = 3P + 5( P + 0.40)

Distribute the five and solve for P:

$24.00 = 3P + 5P + 2

$22.00 = 8P

P = $2.75

Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.

Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

Answer:

uhh precious why u stalkin me????

Step-by-step explanation:

Answer:

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

Answer:

x=9

Step-by-step explanation:

Subtract 8 from both sides.

−5x=−37−8

Subtract 8 from −37 to get −45.

−5x=−45

Divide both sides by −5.

x= -45/-5

Divide −45 by −5 to get 9.

x=9

Answer:

9

Step-by-step explanation:

Step 1:

8 - 5x = - 37       Equation

Step 2:

8 = - 37 + 5x     Add 5x on both sides

Step 3:

45 = 5x      Add 37 on both sides

Step 4:

x = 45 ÷ 5     Divide

Answer:

x = 9

Hope This Helps :)

Answer:

Imagie 1 and 2

monomial function graph look like this

<3 ily

Red

Answer:

The first image

Explanation:

Hope you have a great day!

Answer:

1. A=907.92

2. A=113.1

3. A=37.5

   P=35

4. A=234

   P= 75.6

Step-by-step explanation:

Answer:

DID YOU REALLY NEED TO ASK THIS!!!!!!!!!!!!

Step-by-step explanation:

Answer:

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

Solution: 5.71 liters of 5% and 4.29 liters 40%

Step-by-step explanation:

The volume of the 20% acid solution the scientist needs = 10 liters

The concentration of the solution she has = 5% and 40%

Therefore, we have;

X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution

Therefore, we have;

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

0.4·X + 0.5 - 0.05·X = 2

0.35·X = 2 - 0.5 = 1.5

X = 1.5/0.35 = 30/7

∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters

The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters

Therefore, we have;

5.71 liters of 5% solution and 4.29 liters 40% solution.