The following system has no solution.
x+y +2 = 15
2x+2=1
2y -2=7

True or False

Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

The statement that is true about quadrilateral QRST is: d. Side TQ has a length of sq rt of 17 units

A quadrilateral is a polygon with four sides and four vertices. The term "quadrilateral" is derived from the Latin words "quadri" meaning "four" and "latus" meaning "side."

Quadrilaterals come in various shapes and sizes, and they can have different angles and side lengths. Some common examples of quadrilaterals include rectangles, squares, parallelograms, trapezoids, and rhombuses.

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The complete question is:

Which statement is true about quadrilateral QRST?

a. Side QR has a length of 5 units.

b. Side RS has a length of sq rt of 40 units.

c. Side ST has a length of 6 units.

d. Side TQ has a length of sq rt of 17 units

Answer:

area of base is 9pi

circumference of base is 6pi

lateral surface 24

surface area is 42

Step-by-step explanation:

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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Answer:

58

Step-by-step explanation:

I did that

Answer:

D 40 square feet

Step-by-step explanation:

2×8=16

16÷2=8 is area of one triangle

8+8=16 is area of both triangles

8×3=24 is area of rectangle

24+16=40 square feet

Answer:

Any rectangle has two diagonals that are congruent to each other. Furthermore, it can be shown that if the two diagonals of a parallelogram are equal.

Step-by-step explanation (PLEASE READ AND DON'T SKIP UNTIL YOU SEE THE ANSWER!!!!!):

   When you see this answer it might be complex or just challenging. But since we know that 8x6 is already 48, we need something equal to 240 when you multiply it. As 8x6 (and times the missing number). Now, what can you multiply by 8x6 to get a total of 288? The answer is simple, 6. So it means that when you multiply 8x6x6 you get a total of 288. Or also as (8x6)x6=288.

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Answer:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

<95141404393>

Answer:

1.33

Step-by-step explanation:

9514 1404 393

Answer:

  4/3

Step-by-step explanation:

If you're familiar with decimal equivalents (or even if you're not), you can use your calculator to compute the quotient:

  7.5/5.625 = 1.333333333...

The rational number equivalent of the result is 4/3.

__

If you like to work directly with the rational numbers, you can write the ratio as ...

  (7 1/2)/(5 5/8) = (7 4/8)/(5 5/8) = (60/8)/(45/8) = 60/45 = 4/3

Answer:

$2.85 per hour

Step-by-step explanation:

Answer:

I think the answer is 35 or are trying to find how much is in and hour

The remainder term Rn is equal to (-2) raised to the power of n multiplied by e raised to the power of -2c, divided by n+1 factorial, multiplied by (x-2) raised to the power of n, for some c between x and 2.

The remainder term Rn in the nth order Taylor polynomial centered at a for the given function f(x)=e^-2x, a=2 is equal to (-2) raised to the power of n multiplied by e raised to the power of -2c, divided by n+1 factorial, multiplied by (x-2) raised to the power of n, for some c between x and 2. This remainder term represents the difference between the approximate value of the function given by the Taylor polynomial and the actual value of the function. By taking the limit as n approaches infinity, the remainder term can be used to determine the exact value of the function. The remainder term is an important concept in calculus as it is used to determine the accuracy of a given approximation.

For n=5, R5(x) = (-2)^5 e^-2c/(5+1)! (x-2)^5 for some c between x and 2.

Substituting n=5, x=7 and c=4, we have:

R5(7) = (-2)^5 e^-8/(6)! (7-2)^5

R5(7) = (-2)^5 e^-8/(720) (25)

R5(7) = (-2)^5 e^-8/18000

R5(7) = (-2)^5 e^-8/18000

R5(7) = -1.388888888 x 10^-9

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Answer: A = JIH

B = GJH

C = GH

D = 300

E = 60

Step-by-step explanation:

A) <JIH is a inscribed angle

B) GJH is a major arc

C) GH is a minor arc

D) m GH = m<GFh = 60

The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

x - 2y = 4

Step-by-step explanation:

Parallel lines have equal slopes.

The given line has a slope of 1/2

so the required line is

y = -5 + (1/2) (x + 6)

Multiply by 2 on both sides,

2y = -10 + x + 6

so

x - 2y = 4

To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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Answer:

(a) all men = 3.6351 * 10^ -7

(b) all women = 2.3483* 10^ -4

(c) 8 men and 4 women = 0.0308

(d) 6 men and 6 women= 0.2170

Step-by-step explanation:

A jury pool has 15 men and 21 women, from which 12 jurors will be selected.

Total = 36 people

Probability of

(a) all men

= 15C12/36C12

= 455/1251677700

= 3.6351 * 10^ -7

(b) all women

= 21C12/36C12

= 293930/1251677700

= 2.3483* 10^ -4

(c) 8 men and 4 women

=( 15C8 * 21C4)/36C12

= (6435*5985)/1251677700

= 38513475/1251677700

= 0.0308

(d) 6 men and 6 women

= (15C6 * 21C6)/(36C12)

= (5005*54264)/1251677700

= 271591320/1251677700

= 0.2170

Answer:

Option A

6x²(x² - 3x + 2)

Step-by-step explanation:

6x⁴ - 18x³+12x²

Step 1

Find the greatest common factor if the coefficient

6, 18, 12

The factors of 6 are: 1, 2, 3, 6

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Find the greatest common factor of the variables

x⁴ , x³, x²

x⁴ = x × x × x × x

x³ = x × x × x

x² = x × x

The greatest common factor = x²

Step 3

Combine both Greatest Common Factor for coefficient and variables

6 × x²

= 6x²

Step 4

We factorise

6x⁴ - 18x³+12x²

6x²(x² - 3x + 2)

The greatest common factor is 6x²(x² - 3x + 2)

Answer:

y = 2x - 17

Step-by-step explanation:

y = mx + b

m = 2

y = 2x + b

Plug in (5, -7) for x & y.

-7 = 2(5) + b

-7 = 10 + b

Subtract 10 from both sides.

-17 = b

y = 2x - 17

Check work.

-7 = 2(5) - 17

-7 = 10 - 17

- 7 = -7

Your answer is correct.

Answer:

(1/2)

Step-by-step explanation:

From one point, if you go up one and over 2 you will get exactly one block up than from your initial point. And since the graph is pointing down on left side, that means it's positive.

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Answer:

"Type II error" is the right answer.

Step-by-step explanation:

Thus the above is the right answer.

Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The tax rate, as a proportion, is:

7280/624000 = 0.011667.

Hence, the property tax on a house with an assessed value of $762,000 is of:

0.011667 x 762,000 = $8,890.

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fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

Answer:

201.5km

Step-by-step explanation:

50000cm = 500m

1000m + 500m = 1500m

1km = 1000m

So 1.5km = 1500m then..

200km + 1.5km = 201.5km

Answer:

11

Step-by-step explanation:

\(61 {}^{2} - {60 }^{2} = 121\)

\( \sqrt{121} = 11\)

Answer: choice B

Step-by-step explanation: