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2 years ago

Can someone help it has to be a polynomial

Mathematics

2 answers:

8_murik_8 [283]2 years ago

8 0

Length (L) = width (B) + 6

Area = L x B

432^2 = (B + 6) x B

432^2 = B(B + 6)

Alternatively

432^2 = B^2 + 6B

Damm [24]2 years ago

5 0

Answer: Width = 24 inches

Step-by-step explanation:

Let W represent the width of the rectangular sign.

The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be

W/2 + 6

The formula for determining the area of a rectangle is expressed as

Area = length × width

The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be

W(W/2 + 6) = 432

W²/2 + 6W = 432

Multiplying both sides of the equation by 2, it becomes

W² + 12W = 864

W² + 12W - 864 = 0

W² + 36W - 24W - 864 = 0

W(W + 36) - 24(W + 36) = 0

W - 24 = 0 or W + 36 = 0

W = 24 or W = - 36

Since W cannot be negative, then

W = 24

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Many states assess the skills of their students in various grades. One program that is available for this purpose is the Nationa

Nataly [62]

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = <u><em>scores of the tests provided by the NAEP</em></u>

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = national mean score = 289

$\sigma$ = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

P(X > x) = 0.25 {where x is the required score}

P( $\frac{X-\mu}{\sigma}$ > $\frac{x-289}{37}$ ) = 0.25

P(Z > $\frac{x-289}{37}$ ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

$\frac{x-289}{37}=0.6745$

${x-289}=0.6745\times 37$

x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.

7 0

3 years ago

A parking garage opens at 8 AM. The graph shows the total number of cars in the garage. How many cars were parked in the garage

FromTheMoon [43]

I believe 198 or 197 cars were in the Garage

8 0

3 years ago

Read 2 more answers

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

Mamont248 [21]

Answer:

$361\dfrac{1}{9}$ tons of high steel and $138\dfrac{8}{9}$ tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

$0.85x$ tons of iron

$0.15x$ tons of magnese

In y tons of low grade steel there are

$0.67y$ tons of iron

$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

and specifies that it must be in the proportion 80% iron and 20% magnese, so

$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

7 0

3 years ago

Which of the following expressions can be used to calculate the area of a square with side lengths 5 inches?

NemiM [27]

Step-by-step explanation:

5x5

because 5^2 equals the area

4 0

2 years ago

1. the sum of two rational numbers is always always a (irrational number / rational number)

Blizzard [7]

One

The sum of two rational numbers is always rational. sqrt(9) + sqrt(25) = 3 + 5 which is rational. sqrt(16/100) = 4/10 = 2/5 is also rational. 3/28 is rational as well.

Two

Those are irrational. sqrt(10) + pi = ???? You cannot reduce this to any kind of fraction. Two irrationals always give a rational.

Three

The irrational number controls the answer. 10 + sqrt(5) is irrational. The 10 is OK. It is raional, but sqrt(5) is not a rational number.

8 0

3 years ago