Jada is taller than Diego. Diego is 54 inches tall (4 feet, 6 inches). Write an inequality that compares Jada's height in inches, j, to Diego's height.

Complete question :

Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch

Answer:

8x² - 46x + 11 ;

$92.61

Step-by-step explanation:

Side length of square painting = x + 5

Area of square painting = (x +5)²

Side length of Total area of square painting + frame = 3x - 6

Total area = (3x - 6)²

Area of frame :

(3x - 6)² - (x +5)²

(3x - 6)(3x-6)

9x² - 18x - 18x +. 36 = 9x² - 36x + 36

(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25

9x² - 36x + 36 - (x² + 10x + 25)

9x² - 36x + 36 - x² - 10x - 25

8x² - 46x + 11

Area of frame = 8x² - 46x + 11

8(16^2) - 46(16) + 11

= 1323 in²

1323 * 0.07 = $92.61

When interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]A = P (1 + \frac{r}{n} )^{nt}[/tex]

Where A = Final amount

         P = Principal amount

         r  = annual rate of interest

         n = how many times interest is compounded per year

         t = How long the money is deposited or borrowed (in years)

If the interest compounded continuously:

P = $12000, r = 4.5% = 0.045%

⇒ [tex]A (t) = 12000 (e)^{0.045t}[/tex]

When t = 10 years, plug this value in the above expression and calculating, we get;

A(10) = $18819.75

When interest compounded daily:

[tex]A(t) = 12000 (1 + \frac{0.045}{365} )^{365t}[/tex]

Plug t = 10 years:

We get;

A(10) = $18819.22

Similarly, If interest is compounded monthly:

n = 12 and t =10, we get:

A(10) = $18803.91

Thus, when interest compounded continuously so the amount after 10 years the amount will be $18819.75, when n = 365 and t = 10 years amount will be $18819.22, when n = 12 and t = 10 years amount will be $18803.91.

Learn more about the compound interest here:

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Answer:

5

Step-by-step explanation:

Answer:

360 feet.

Step-by-step explanation:

If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...

1 yard = 3 feet

120 yards = x feet

120 * 3 = x

360 feet = x

Finally, we can see that the length of the football field is 360 feet.

Answer:

3 blue expo markers

Step-by-step explanation:

15(0.2)=3

find the different pen! ⬇️

182

Answer:

Ture

Step-by-step explanation:

I have experience and i answered this question before

Answer:

True.

Step-by-step explanation:

Studying helps implant the knowledge into your brain, allowing you to remember it, and succeed in that subject of knowledge, thus having good study habits will help you learn more!

Answer:

Principal = Rs 2000

Time = 4 years

Interest = Rs 400

Now, Interest= Principal×Rate×Time/100

400= 2000×R×4/100

R= 400×100/2000×4

Step-by-step explanation:

Hope it is helpful....

Answer:

0.10

Step-by-step explanation:

0.10 = 10/100 or 10%

Multiply 400*0.10 to get 10% of 400.

9514 1404 393

Answer:

  Step 2 is where the error lies.

  The solution is x > 6

Step-by-step explanation:

The rules for solving inequalities are substantially similar to the rules for solving equations. If you perform the same operation on both sides of the comparison, the value of the variable does not change. (The exception is when that operation is an "order-reversing" operation. See comment below.)

Kahal's steps would be expected to be the same ones you would use:

  Step 1: 4x -4 > 20 . . . given

  Step 2: 4x > 24 . . . add 4 to both sides

  Step 3: x > 6 . . . . . divide by 4

We note that our Step 2 is different from Kahal's Step 2. In Step 2 is where his mistake was made. He added 4 to one side and subtracted 4 from the other side.

__

Exception (order-reversing operations)

The operation you will usually run across in high-school algebra that will reverse ordering is multiplication (or division) by a negative number. Consider, for example, ...

  1 < 2

  -1 > -2 . . . . . both sides of the inequality multiplied (or divided) by -1

Notice that the order has been reversed: the larger magnitude number is now "less than".

Answer:

12.5 in squared 3

Step-by-step explanation:

Answer:

12.5!

Step-by-step explanation:

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Given value:

[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]

Using formula:

[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]

    [tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]

Calculating the percent of the sales which is less than or equal to 84 inches:

[tex]\to P(Z \leq 1.6)=0.9452[/tex]

                      [tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]

Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.

Answer:

Step-by-step explanation:

basically, you have to look at the inequality. it is the same all around. so if the inequality has less than or equal too, or greater than or equal too, you need to have a thick solid line representing your function. if it is just less than or greater than, use a dotted line. to determine whether the shading goes above or below, you look at the in equality. greater than is above, and less than is below

Answer:

Step-by-step explanation:

36n³ = 2 * 2 * 3 * 3 * n * n *n

6n²   = 2*3 * n * n

GCF = 2 * 3 * n * n = 6n²

-36n³ = 6n² * (-6n)

-36n³ + 6n² = 6n²*(-6n)   + 6n²

                    = 6n² ( -6n + 1)

Answer:

Ducks- 8

Pigs- 12

Step-by-step explanation:

56 divided by 8 is 12 and 12 plus 8 is 20.

Answer:

Based on the confidence interval, the method appears to not bring expected results

Step-by-step explanation:

The given parameters are;

The number of babies in the study, n = 620 babies

The number of girls in the study sample = 341 girls

The proportion of girls in the study sample, [tex]\hat p[/tex] = 341/620 = 0.55

At 99% confidence level, we have the critical z = 2.576;

The confidence interval is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p} \cdot (1-\hat{p})}{n}}[/tex]

Plugging in the values of the variables, we get;

[tex]CI=0.55\pm 2.576\times \sqrt{\dfrac{0.55 \times (1-0.55)}{620}} \approx 0.55 \ \pm 5.14680 \times 10^{-2}[/tex]

Therefore, 0.498532 < p < 0.601468

Based on the result of the confidence interval, we can be 99% sure that the true mean is between 0.498532 and 0.601468, therefore, given that the range includes a true mean of 0.5 or 50% probability of conceiving a girl, which is the percentage predicted by genetics, the method appears ineffective

Answer:

The slope is -3 and the y-intercept is (0, 7)

Step-by-step explanation:

In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.

Answer:

1.5 Hours

Step-by-step explanation:

So, 90 minutes is between 1 hour and 2 hours (2 x 60 = 120 minutes). It is exactly half way between, hence 90 minutes is 1 and 1 half hours (or less formally, 1 and a half hours).

or  

90 Minutes = 1.5 Hours = 1 Hour and 30 Minutes. Minutes to hours Time Converter 90 hours to minutes. This conversion of 90 minutes to hours has been calculated by multiplying 90 minutes by 0.0166 and the result is 1.5 hours.

Answer:

6 minutes

Step-by-step explanation:

2 degrees per minute

so you need 12 degrees so 12/2 = 6 degrees

Answer:

Step-by-step explanation:

Please I don't understand your question

Answer:

x(x+3)(x-3)

Step-by-step explanation:

Factor out common term x

=x(x^2-9)

Factor x^2-9;

(x+3)(x-3)

=x(x+3)(x-3)

Answer:

x(x + 3)(x - 3)

Step-by-step explanation:

What we're given is a difference of squares multiplied by x.  If we start by factoring x out, we can simply expand the binomial:

x³ - 9x

= x(x² - 9)

= x(x + 3)(x - 3)

Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b).  In this case, a is x, and b is 3.

Answer:

1681 miles

By Pythagoras theoram

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

B. 9/19

Step-by-step explanation:

there was 20 dogs in total he took 1 black dog now 19 in total, now 9 black dogs and 10 brown dogs so one less probability of black dogs so 9 black dogs and 10 brown dogs so 9/19

Answer:

C=2πr

Step-by-step explanation:

Its on the wall of my math class

Answer:

21 is common denominator.

15 and 7 are the corresponding numberators.

Step-by-step explanation:

You multiply the 7 and 6, then apply to the fractions, and slowly reduce until you find a good match.

Answer:

30 and 14

Step-by-step explanation:

5/7 = times by 6 to get 30/42

2/6 = times by 7 to get 14/42

Answer:

5 text messages

Step-by-step explanation:

Given data

The total number of text= 25

20% of the text message were to your best friend

Let us find 20% of 25

=20/100*25

=0.2*25

=5

Hence the number of text sent to your best friend is 5 text messages