The area of a rectangular field is represented by the expression 14x-3x^2+2y. The width of the field is represented by the expression 5x-7x^2+7y. How much greater is the length of the field than the width?
9x+4x^2-5y
9x-10x^2-5y
19x+4x^2+9y
19x-10x^2+9y

Answer:

He had 534.45 more in credits that debits

Step-by-step explanation:

Ignatius hd $534.45 more in credits than in debits. Since Ignatius had an initial balance of $124.82 at the beginning of the month and ended the month with $659.27 he was up money versus what he had in his account at the beginning of the month. During the month Ignatius made money that was credited to his account so that he ended it with a higher balance. 

Answer:

28x - 23y - 21z = 3  

Step-by-step explanation:

First, we need to find two vectors in the plane as:

vector PQ = Q - P = (1, 2, -1) - (-2, 2, -5) = (3, 0, 4)

vector PR = R - P = (-1, -5, 4) - (-2 ,2 ,-5) = (1, -7, 9)

Then, we need to find a normal vector to the plane as:

PQ x RQ = ((0*9)-(4*-7), -(3*(9)-(4*1), (3*-7)-(0*1))

PQ x RQ = (28, -23, -21)

Finally, the equation of a plane is:

A(x-x0) + B(y-y0) + C(z-z0) = 0

Where (A,B,C) is a normal vector to the plane and (x0, y0, z0) is a point in the plane. So, replacing (A,B,C) by (28, -23, -21) and (x0, y0, z0) by P0(-2,2,-5), we can write the equation of the plane as:

28(x+2) - 23(y-2) - 21(z+5) = 0

Solving, we get:

28x + 56 - 23y + 46 - 21z - 105 = 0

28x - 23y - 21z - 3 = 0

28x - 23y - 21z = 3  

Answer:

3.8% , unusual

Step-by-step explanation:

We have that the mean is 175 degrees (m) and the standard deviation is 6.2 degrees (sd), so we are asked:

P (x <164)

P ((x - m) / sd <(164 -175) /6.2)

P (z <- 1.77)

If we look in the normal distribution table we have to:

P (x <164) = 0.0384

That is, the probability is 3.8%

Unusual is when the probability is less than 5%, that is to say in this case if it can be said that an unusual data.

Answer:

-10

Step-by-step explanation:

5(12 + x) = 10

60 + 5x = 10

5x = -50

x = -10

Answer:  C

Step-by-step explanation:

Multiply the number outside of the matrix to EVERY value inside that matrix.

Addition and subtraction of matrices is very simple - just add (or subtract) the values of each matrix that have the same designation.

[tex]X\left[\begin{array}{cc}a&b\\c&d\end{array}\right] +Y\left[\begin{array}{cc}e&f\\g&h\end{array}\right]=\left[\begin{array}{cc}X(a)+Y(e)&X(b)+Y(f)\\X(c)+Y(g)&X(d)+Y(h)\end{array}\right]\\\\\\\\\\-3\left[\begin{array}{cc}2&7\\8&-6\end{array}\right] +2\left[\begin{array}{cc}0&1\\4&-2\end{array}\right]\\\\\\=\left[\begin{array}{cc}-3(2)+2(0)&-3(7)+2(1)\\-3(8)+2(4)&-3(-6)+2(-2)\end{array}\right] \\\\\\=\left[\begin{array}{cc}-6&-19\\-16&14\end{array}\right][/tex]

Answer:

Option B

Step-by-step explanation:

x^3

Coefficient = 1

Option B

Answer:

B = 1

Step-by-step explanation:

this is becus we don't write 1 as a coefficient it's there but in an invisible form

anyone who make the one visible is considered an amateur

Answer:

The terms of the polynomial are relatively prime because the highest integer that divides them both is 1.

Step-by-step explanation:

Two numbers are said to be relatively prime if their greatest common factor ( GCF ) is 1 .

Now, the expression we are given in the question is a polynomial;

y² + 7.

The terms of the polynomial y² + 7 are y² and 7 and have no common factor and in fact cannot be factorized further. Thus, these terms are said to be relatively prime because the highest integer that divides them both is 1.

$64.71 rounded, explanation attached

Answer: choice A

Step-by-step explanation:

the shaded parts add up to 4wholes and 1/4

or 17/4=4 1/4

Answer: choice3) 25

Step-by-step explanation:

The constant ratio of y/x is 2.5

so if the x value is 10 the y value would be 25(10*2.5).

Answer:

Read below.

Step-by-step explanation:

A perfect cube is a number cubed (If that makes sense). Such as 3³ will equal a perfect cube because it's being multiplied by itself 3 times. 3×3×3=9. It will work for any whole number. You can check if a given number is a perfect cube by using the cube root ([tex]\sqrt[3]{x}[/tex]).

Hope it makes sense!

Step-by-step explanation:

A perfect cube is a cube whose cube root can be easily gotten by using methods such as factor method eg 125 is a perfect cube whose cube root is 5. You can know if a number is a perfect cube 1.) if it gives you a perfect cube root

Answer:

x = -2

y = -3

Step-by-step explanation:

We can use either substitution or elimination for this problem. I will use elimination to solve this problem:

Step 1: Eliminate x by adding the 2 equations together

9y = -27

y = -3

Step 2: Plug in y into one of the original equations to get x

-9x + 4(-3) = 6

-9x -12 = 6

-9x = 18

x = 2

And we have our final answers!

Answer:

B.

Step-by-step explanation:

Premium insurance is an insurance amount paid to the insurer periodically. In this type of insurance, the insurer is required to provide coverage. This insurance policy covers healthcare, life, auto, home, etc. In this insurance, one is required to pay a certain amount of money on monthly, quarterly, or annually basis.

In the given scenario, Sean should buy premium insurance as it covers life and healthcare insurance as well. He can pay $500 on monthly basis to the insurance company. And after Sean's death, his son can claim the amount.

So, the correct answer is option B.

Answer:

A. annuity

Step-by-step explanation:

I know it is a little late for this answer, but I thought I would add it for anyone else who is struggling :) I know it is annuity because I literally just took the test and got it right.

Answer:

(C)11.72+[(0.2)(11.72)]

(D)(1.2)(11.72)

Step-by-step explanation:

From the table:

The Total =$11.72

They would like to tip the server 20 percent. Therefore, their total bill will be :

[tex]11.72+(20\%$ of 11.72)\\=11.72+[(0.2)(11.72)][/tex]

We can also re-write this by factorizing as shown below:

[tex]11.72+[(0.2)(11.72)]\\=11.72[1+0.2]\\=(1.2)(11.72)[/tex]

The correct options are C and D,

Answer: c and d

Step-by-step explanation: 2020 edg

Answer:

B. 0

Step-by-step explanation:

To find slope, use [tex]m = \frac{y2 - y1}{x2 - x1}[/tex] to find m in y = mx + b. Your m is always your slope.

Answer:

20, 40, 120

Step-by-step explanation:

Smallest angle = x

Second angle = x + 100

Third angle = 2x

4x + 100 = 180

4x = 80

x = 20

20, 120, 40

Answer:

d. Two sample t procedure for two means.

Step-by-step explanation:

The study have a treatment group, which is the group of women that are taking the high dose of green tea extract, and a control group, in order to compare. They are assigned randomly to each group.

Then, the difference fo the two sample means is calculated and a t-test is performed in order to conclude if the two populations means are significantly different.

Apparently they are significantly different, as this is the conclusion with a P-value of 0.025.

Answer: 72 cows

Step-by-step explanation:

Since the question is asking for cows, we will use the given information to do so. Since 1/5 of the animals are cows, we multiply 1/5 and 360 to find the total amount of cows.

[tex]360*\frac{1}{5} =72[/tex]

Answer:

by using the quadratic formula

Step-by-step explanation:

negative b plus or minus the square root of b squared minus 4ac, then all divided by 2a

Answer:

a) 15.8 ms-1

b)869 m

Step-by-step explanation:

We have to obtain the resultant velocity by the Pythagorean theory;

R^2= V1^2 + V2^2

Where

R= resultant velocity of the boat

V1= velocity of the boat

V2= velocity of the flowing river

Thus;

R= √V1^2 + V2^2

R= √15^2 + 5^2

R= √225 + 25

R= √250

R= 15.8 ms-1

B) from

v= s/t

Where

v= velocity (resultant velocity in this case)

s= distance

t= time (55 secs)

s= vt

s= 15.8×55

s= 869 m

Answer:

since n is an integer you substitute n with all the integers. But since that is too much you should use infinity.

n=[-∞,+∞] where -∞ is a negative infinity which stands for negative numbers and +∞ is a positive infinity where it stands for positive numbers.

an integer contains negative and positive numbers so above is the answer.

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

The possible outcomes

TTT TTH THT THH  HHH HHT HTH HTT  = 8 outcomes

There are TTH THT HTT  3 with exactly two tails

P ( exactly 2 tails) = 3/8

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

The outcomes you are looking for are either HTT, THT, or TTH.

The possibility to toss tails or heads is 0.5. Thus the possibility to throw T and then H and then H is:

[tex]\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{8}[/tex]

We have three ways of getting 2 tails, the possibility of throwing exactly two tails in three tosses is:

[tex]\frac{1}{8} + \frac{1}{8} + \frac{1}{8} = \frac{3}{8}[/tex]

0.375 is the probability of getting exactly 2 tails in 3 tosses.

{0 tails}={HHH}

{1 tails}={TTH, THT, HTT}

{2 tails}={HTT, TTH, THT}

{3 tails}={TTT}

There are 3 cases with getting two tails out of 8 possible outcomes.

Answer:

Step-by-step explanation:

The equation can be rewritten to vertex form:

  h(x) = -0.03(x² - 200/3x) +38

  h(x) = -0.03(x² -200/3x +(100/3)²) +38 +.03(100/3)²

  h(x) = -0.03(x -33 1/3)² +71 1/3

The vertex is (33 1/3, 71 1/3), so the maximum height the water will reach is 71 1/3 feet.

__

When h(x) = 0, the water reaches as far as it possibly can.

  0 = -0.03(x -33 1/3)² +71 1/3

  (-71 1/3)/(-0.03) = (x -33 1/3)² . . . subtract 71 1/3; divide by -0.03

  √(2377.78) = x -33.33 . . . . . . . . positive square root

  82.10 ≈ x

The maximum distance the water will reach is 82.10 feet.

Answer:

r = l / π/180× θ

11.6 cm

Step-by-step explanation:

l = π/180 × r × θ

r = l / π/180× θ

r = 12.5 / π/180× 62

r = 11.55156845

Answer:

  rectangular table

Step-by-step explanation:

You want to know the largest area of tables that are ...

The formulas for the areas of the various shapes are ...

The area of the square table is ...

  A = (36 in)² = 1296 in²

The area of the rectangular table is ...

  A = (20 in)(73 in) = 1460 in²

The area of the round table is ...

  A = π(21 in)² ≈ 1385 in²

The rectangular table has the largest area.

__

Additional comment

You can eliminate the square table right away by realizing the rectangular table is more than twice as long, and more than half as wide. If the rectangle were 18 in by 72 in, it would have the same area as the square.

Answer:

  27x^6y^9

Step-by-step explanation:

The outside exponent multiplies all of the inside exponents. The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

  (3x^2y^3) = (3^3)(x^(2·3))(y^(3·3)) = 27x^6y^9

Answer:

2/5

Step-by-step explanation:

There are 20 fish, 8 of which are small and blue.  Therefore, the probability of randomly selecting a small blue fish is 8/20 = 2/5.

Answer:

a. An experiment

b. No

Step-by-step explanation:

a. Robin's research method can be concluded to be an experiment because she has a testable group (pots of water with salt) and a control group (pots of water without salt).

2. Based on this alone, she cannot conclude that the salt caused the

difference in temperature because she has not set some appropriate conditions which are to be met for this test.

Answer:

Below

Step-by-step explanation:

8,8,6,9,8,3,12,9,3,12,5,0,4,8,5,11,5,8. Answers are in order from the first to the last