Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *

9514 1404 393

Answer:

Step-by-step explanation:

The coefficient is the initial amount: $15.35.

The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.

Answer:

Below

Step-by-step explanation:

Move all terms not containing  x  to the right side of the inequality.

6 x  >  36

Divide each term by  6  and simplify.

x  >  6

Inequality Form: x  >  6

Interval Notation: (  6 ,  ∞ )

Hope this helps:)

Answer:

A: 4/5

Step-by-step explanation:

The equation for proportionality is y = kx, where k is the constant of proportionality. That is what you're looking for in this question.

So in y = 4/5x, 4/5 is the constant of proportionality/unit rate for the proportional relationship.

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

We have given that,

the unit rate for the proportional relationship is represented by the equation y=4/5x.

We have to determine the unit rate

The equation for proportionality is y = kx, where k is the constant of proportionality.

So in y = 4/5x,

The 4/5 is the constant of proportionality/unit rate for the proportional relationship.

To learn more about the proportionality visit:

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Answer:

true

Step-by-step explanation:

Answer:

69 years

Step-by-step explanation:

Oh, hell yeah

Answer: 69 more years

Step-by-step explanation:

Step-by-step explanation:

a.)Buying: total cost

Total cost= commission + (price per share× Number of of shares ) ;

Total cost= 11 + (19.72×30)= $591.6+11= $601.6

b.)Net gain or loss;

First, find cash received from sale of stock and deduct commission;

Cash from sale =20.75×30= $ 622.5

deduct commission= 622.5-11= $611.5

Gain or loss= sale-cost = 611.5-601.6 = $9.9, meaning there is a profit.

c.) Annual rate of return= (net gain or loss/amount paid)×100%

return= 9.9/(601.6)×100 = 1.645%

Given:

A circle with center O, LN and MP are two diameters.

To find:

The minor arcs of the given circle.

Solution:

If any arc of a circle is less than its semicircle, then the arc is called is minor arc.

Since LN and MP are two diameters, therefore they divide the circle is two equal parts. So, the arc LN and arc MP are semicircles.

If arc LN and arc MP are the semicircles, then arc LM, arc MN, arc PL and arc NP are less than the semicircle.

So, arc LM, arc MN, arc PL and arc NP are minor arcs.

Therefore, the correct option is A.

Answer:

∠C = 28°     (as you have done)

AB = 4.7

BC = 8.8

Step-by-step explanation:

cos 62° = AB/10

0.4695 = AB/10

AB = 10(0.4695) = 4.69

sin 62° = BC/10

0.8829 = BC/10

BC = 10(0.8829) = 8.83

Answer:

The base and height of three parallelograms with the same area as the 12 square inches rectangle are

1) First parallelogram;

Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

2) Second parallelogram

Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

3) Third parallelogram

Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

Step-by-step explanation:

The vertices of the rectangle are; (0, 0), (4, 0), (4, 3), and (0, 3)

Let ABCD represent the vertices of the rectangle such that we have;

A(0, 0), B(4, 0), C(4, 3), and D(0, 3)

The area of the rectangle, A = The length of AB × The length of CB

The length of AB = √((4 - 0)² + (0 - 0)²) = 4

The length of CB = √((4 - 4)² + (3 - 0)²) = 3

∴ The area of the rectangle, A = 4 × 3 = 12 square units

The area of a parallelogram = Base length × Height

The base and height of three parallelograms with the same area as the 12 square inches rectangle are;

1) Base length of parallelogram = 4 units

Height of parallelogram, = 3 units

The area of the parallelogram, A = Base × Height;

∴ A = 4 units × 3 units = 12 units²

2) Base length of parallelogram = 6 units

Height of parallelogram, = 2 units

The area of the parallelogram, A = Base × Height;

∴ A = 6 units × 2 units = 12 units²

3) Base length of parallelogram = 5 units

Height of parallelogram, = 2.4 units

The area of the parallelogram, A = Base × Height;

∴ A = 5 units × 2.5 units = 12 units².

Answer:

(0,-18)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: [tex]\frac{x}{50} > 8[/tex]

Step-by-step explanation:

more than =    >  not ≥

Answer:

5/8

Step-by-step explanation:

Add 3+2 to get 5

5 is the numerator (the number above the line)

8 is the denominator (the number below the line)

Beatrice has done 5/8 (or 5 out of 8) math problems.

Answer:

C

Step-by-step explanation:

consistently goes down by 3.2 for the y value

Answer:

0.7 km per minute , -0.17 km per minute

Step-by-step explanation:

The computation of the average speed is shown below

As we know that

Average speed = Total distance ÷ total time

= (4 + 2 + 1) ÷ (32 + 22 + 16)

= 0.7 km per minute

Now the velocity is

= Change in displacement ÷ change in time

= (4 - 2 - 1) ÷ (32 -22 -16)

= 1 ÷ -6

= - 0.17km per minute

Answer: $21.25

Step-by-step explanation:

Given

Lynnette purchased 2.5 Pounds of blent, which costs $8.50 per pound

total cost is the Product of the amount of blend and rate of coffee blend

[tex]\Rightarrow C=2.5\times 8.50=\$21.25[/tex]

So, coffee beans cost $21.25

Answer:

y = 7x + 3

Step-by-step explanation:

So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.

Answer:

q= 49.5

Step-by-step explanation:

[tex] \frac{33}{q} = \frac{8}{12} [/tex]

Cross multiply:

8q= 33(12)

8q= 396

Divide by 8 on both sides:

q= 396 ÷8

q= 49.5

Answer:

694.51

Step-by-step explanation:

Answer:

18.3

Step-by-step explanation:

a^2 + b^2 = c^2

We can call the unknown side x. The hypotenuse (25) is c.

Knowing this, you know that x^2 + 17^2 = 25^2.

Now simpify!

x^2 + 289 = 625

Subtract 289 from both sides:

x^2 = 338

Now take the square root of 338 which is 18.3 rounded to the nearest tenth.

Hope this helped! :)

Answer:

Triangle EFG has vertices E(-3, 4), F(-5, -1), and G(1, 1)

Step-by-step explanation:

Answer:

angle g is a 2 and fghj is a 1234 ok

Answer:

the answer is $880.200

Step-by-step explanation:

1824 drove a car

2256 take a bus

672 ride the subway

48 ride a bicycle

Answer:

The equation of the trend line is y= 1/2x +1. How many laps can a bicycle make around the park in 23 minutes? answer choices. 44 laps. 12 1/2 laps. 23 laps.

Step-by-step explanation:

hope this helped :b

Answer:

55%

Step-by-step explanation:

Answer:

Unlikely = greater Than 0 ; less than

Likely = greater than 0.5 ; less than 1

Neither likely nor unlikely = 0.5

Step-by-step explanation:

Probability values usually range between standardized values between 0 and 1. With values closer to 1 depicting greater possibilities of an event. Probability value of zero means certain and probability value of 0 zero means.impossible.

Using this standardized values :

An unlikely event is more of not occurring than occurring (that is the event has higher chances of not happening) ;

Hence; We can categorize unliky events to range from below the mid value to greater Tha.n 0

Unlikely event : greater Than 0 ; less than 0.6

Events with probability above the mid value of 0.5 have higher chances of occurring (greater likelihood) hence, Probability is greater than 0.5 but less than 1.

Neither likely nor unlikely event will take the boundary point between likely and unlikely = 0.5

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let [tex]x,y[/tex] denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

[tex]x+y=100\\y=100-x[/tex]

Also, The bagel shop made $385.

[tex]7x+2y=385[/tex]

Put [tex]y=100-x[/tex] in [tex]7x+2y=385[/tex]

[tex]7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37[/tex]

So,

Number of special bagel sandwiches = 37

Complete question :

Lewis walked 8/10 of a mile. Todd walked 3/4 of the way with Lewis. How many miles did Todd walk with Lewis? Show your work.

Answer:

0.6 miles

Step-by-step explanation:

Miles walked by Lewis = 8/10 miles

Miles Todd walked with Lewis = 3/4 of the way

This means : Multiplying the fraction Lewis walked with the fraction Todd walked with Lewis

8/10 * 3/4 = 24/40 = 0.6 miles

Hence, Todd walked 0.6 miles with Lewis

Answer: Divide the chord length by double the radius.

Find the inverse sine of the result.

Double the result of the inverse sine to get the central angle in radians.

Once you have the central angle in radians, multiply it by the radius to get the arc length.

Step-by-step explanation: