How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?​

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] can be done in the following manner,

[tex]\dfrac{x+4}{x^2+3x-10} - \dfrac{x-1}{x^2+2x-8}\\\\\\= \dfrac{x+4}{(x-2)(x+5)} - \dfrac{x-1}{(x+4)(x-2)}\\\\\\= \dfrac{(x+4)(x+4)- (x-1)(x+5)}{(x+4)(x-2)(x+5)} \\\\\\= \dfrac{x^2+16+8x-x^2-5x+x+5}{x^3+7x^2+2x-40}\\\\\\=\dfrac{4x+21}{x^3+7x^2+2x-40}[/tex]

Hence, the simplification of expression [(x+4)/(x²+3x-10)] - [(x-1)/(x²+2x-8)] is (4x+21)/(x³+7x²+1x-40).

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Answer: A, C

Step-by-step explanation:

The measure of an incsribed angle is half the measure of the arc it subtends.

Check the picture below.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{two~triangles}{2\left[\cfrac{1}{2}(15)(8) \right]}~~ + ~~\stackrel{rectangle}{(25)(15)}~~ + ~~\stackrel{rectangle}{(25)(17)}~~ + ~~\stackrel{rectangle}{(25)(8)}} \\\\\\ 120~~ + ~~375~~ + ~~425~~ + ~~200\implies 1120~yd^2[/tex]

Answer:

check photo for detailed analysis

Answer:

119 copies

Step-by-step explanation:

Given that,

→ 1 minute = 28 copies

Copies made in 4 minutes & 15 seconds,

→ 28 × (4 + 15/60)

→ 28 × (4 + 1/4)

→ 28 × (16+1)/4

→ 28 × 17/4

→ 476/4

→ [ 119 copies ]

Hence, the machine made 119 copies.

The probability that the cat lands on its feet both times it falls out of a tree is 0.85

The probability that the cat lands on its feet is given as:

P(Feet) = 0.92

The probability that it lands on its feet twice is calculated using:

P = P(Feet) * P(Feet)

So, we have:

P = 0.92 * 0.92

Evaluate

P = 0.85

Hence, the probability is 0.85

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Using separation of variables for the differential equation, it is found that:

a) The differential equation is: [tex]\frac{dP}{dt} = kP[/tex]

b) The solution is: [tex]P(t) = 5000e^{kt}[/tex]

c) In 6 months, the population is: [tex]P(6) = 5000e^{6k}[/tex]

Population of fishes in a pond is directly proportional to amount of fishes present in the bond, hence the differential equation is:

[tex]\frac{dP}{dt} = kP[/tex]

In which k is the growth rate.

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

Hence, for the differential equation in this problem:

[tex]\frac{dP}{dt} = kP[/tex]

[tex]\frac{dP}{P} = k dt[/tex]

[tex]\int \frac{dP}{P} = \int k dt[/tex]

[tex]\ln{P} = kt + P(0)[/tex]

[tex]P(t) = P(0)e^{kt}[/tex]

In which P(0) = 5000 is the initial population, hence:

[tex]P(t) = 5000e^{kt}[/tex]

In 6 months, the population is:

[tex]P(6) = 5000e^{6k}[/tex]

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Answer: C option

Step-by-step explanation:

Since the drawing is 5x more than real object then we have to divide the numbers

a= 35/5 = 7

b= 30/5 = 6

c= 15/3 = 3

The method that was used by Isabella to pay for the CD players is a credit card.

A credit card is a line of credit that is extended by a bank to the holder of the credit card. The bank extends credit to the credit cardholder based on the holder's credit worthiness.

The holder of the credit card is expected to make payments on debts owed at the end of every month until all the debt has been repaid.

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Answer:

Isabella bought a CD player at the store. She will receive the bill at the end of the month. She plans to pay $30 each month until the bill is paid in full. How did Isabella pay for the CD player?

❌ A) cash

❌ B) check

❌ D) debit card

I Took Question Test Have Nice Day.

Answer:

C. $26 is the closest estimate

Step-by-step explanation:

127.59 rounded is 128

128 x 0.2 = 25.6
25.6 is closest to 26 so C is the answer

so that is the closest estimate
this should be correct! :)

Answer:

24 cm²

when finding area, multiply base by height

[tex]4 * 6 = 24[/tex]

Answer:

A = 24 cm^2

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh where b is the base and h is the height

A = 6 * 4

A = 24 cm^2

Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

Answer:

i believe the third one so this  37 < r ≥ 42 Step-by-step explanation:

Answer:

  (a)  r < 37 or r ≥ 42

Step-by-step explanation:

Translating the given relations to math symbols, we have ...

  "less than 37 minutes"  ⇒  r < 37

  "no less than 42 minutes"  ⇒  r ≥ 42

__

Written as a single statement, this is ...

  r < 37 or r ≥ 42

_____

Additional comment

The solution regions are disjoint, so an "or" statement must be used. The form ...

  37 > r ≥ 42

cannot be used, because it is false that 37 > 42.

Answer:

-32 , 64

Step-by-step explanation:

This is a geometric sequaence and each term is obtatained by multiplying the previous number with the common ratio 'r'

          [tex]\sf \boxed{r = \dfrac{second \ term }{first \ term}}[/tex]

[tex]\sf r =\dfrac{4}{(-2)}[/tex]

r = -2

The next two terms ,

   Fifth term = 16 *(-2) = -32

  Sixth term  = (-32) * (-2) = 64

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

           What are the next two terms of the following sequence?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

The next two terms are -32 and 64.

[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]

                First of all, let's identify what kind of sequence this is.

The two main types of sequences are:

In the given sequence, we use multiplication, so we're dealing with a [tex]\textit{geometric sequence}[/tex].

In order to get to the next term, we multiply by -2.

So in order to find the next two terms of the sequence, we take the previous term and multiply it by -2 as follows:

16•(-2)=-32

We've found the 5th term of the geometic sequence.

Now let's find the 6th:

-32•(-2)=64 (the product of a negative and a negative results in a positive)

The next two terms in the sequence are -32 and 64.

                - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

1 pound of rice is $2.25. Counting up the graph, - 2, 4, 6, 8, 10.

Step-by-step explanation:

You didn't add the picture so this is how I explained it.

Answer:

155-50=105

Step-by-step explanation:

hopefully  its right because you have to take the maximum and subtracted from the minimum

There are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

If the equation is given a unique and single value of variable after solving, then the equation is said one solution equation. Such equation gives exactly one solution.

The three solution of an equation are-

The expression for y is given as,

y³=125

Here, y is a real number. equate the equation to zero,

y³-125=0

y³-5³=0

Use the formula of difference of two perfect cube as,

(y-5)(y²+5y+25)=0

The values of y we get after solving the equation as,

y=5, 2.5-4.3301i, 2.5+4.3301i

Thus, there are more than one solution of the equation. The solution of the equation when solved for y are 5, 2.5-4.3301i, 2.5+4.3301i.

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Answer:

Step-by-step explanation:

Area of shaded region

  When we subtract the area of the circle from the area of square, we get the area of the 4 corners. When we divide that by 2, we get the area of 2 corners(shaded).
[tex]\sf \boxed{\text{Area of the shaded region =$\dfrac{Area \ of \ square - area \ of \ circle}{2}$}}[/tex]

Area of square = side *side

                          = 8 * 8

                          = 64 square inches

     diameter of the circle = side of the square

                                     d = 8 in

                                      r = 8/2 = 4 in

   [tex]\sf \text{Area of circle = \pi r^2}[/tex]  Area of circle = πr²

                            = 3.14 * 4 * 4

                            = 50.24 square inches

[tex]\sf \text{Area of shade region = \dfrac{64 - 50.24 }{2}}[/tex]

[tex]\sf \text{Area of the shade region = $\dfrac{64 - 50.24}{2}$}[/tex]

                                       [tex]\sf = \dfrac{13.76}{2}\\\\= 6.88 \ square inches[/tex]

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of supplementary angles is 180°

Find the value of x

Find the measure of ∠B

Supplementary angles have sum 180°

<B

Answer:

12 different rectangles.

Step-by-step explanation:

I just divided 24 and got 12

Answer:

check the attachment for your answer

Step-by-step explanation:

Answer:

[tex]154.05[/tex]

Goodluck

The amount of a sample remaining after t days is given by the equation p(1) - al2 is: 74 days.

Using this formula

P(t)=A×(1/2)^t/h

Let plug in the formula

0.6x=x ×(1/2)^t/h

0.6=(1/2)^t/100

Hence:

Log0.6=Log(1/2)^t/100

Log 0.6=t/100× log0.5

Log 0.6/Log0.5×100=t

-0.2218487/-0.30102999×100=t

0.736×100=t

t=73.6

t=74 days (Approximately)

The amount of a sample remaining after t days is: 74 days.

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Answer:

74 DAYS

Step-by-step explanation:

I DID IT ON EDGE

Answer: Option A

Step-by-step explanation:

Replace F with 86 then solve

86 - 32 = 54

54 × 5/9 = 30

C =30

Answer:

Step-by-step explanation:

5/9(86-32)

5/9(54)

5(6)= 30

answer is A

Answer:

  4.34 inches

Step-by-step explanation:

You want the diameter of a cylinder if the stroke length is 4.5 in, and 6 of them have a volume of 400 in³.

Filling the given values into the formula, we have ...

  400 = π/4(d²)(4.5)(6)

  d² = 400(4)/(4.5·6π) . . . . . . . . . divide by the coefficient of d²

  d = 40/(3√(3π)) ≈ 4.34 . . . . . . . take the square root

The diameter is about 4.34 inches.

<95141404393>

Answer:

the answer is a and I hope this helps you.

Hey there!

3% of 4.14 * 10

≈ 3% * 4.14 * 10

≈ 3/100 * 4.14 * 10

≈ 0.03 * 4.14 * 10

≈ 0.1242 * 10

≈ 1.242

Therefore, the answer should be:

Option A. 1.242

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

To answer the question, we need to know what a regression model is

A regression model is an equation or model that shows if there is a relationship between two variables.

Now, given that Yuki uses the regression model y = -2.8sin(0.65x + 120.2) + 12.2 to calculate the average number of sunlight hours per month, where x = 1 represents January.

Since we need to determine the average number of sunlight hours she can expect each day in June. Since June is the sixth month, we substitute x = 6 into the equation.

So, y = -2.8sin(0.65x + 120.2) + 12.2

y = -2.8sin(0.65(6) + 120.2) + 12.2

y = -2.8sin(3.9 + 120.2) + 12.2

y = -2.8sin(124.1) + 12.2

y = -2.8(0.8281) + 12.2

y = -2.32 + 12.2

y = 9.88

y ≅ 9.9

So, the best estimate for the average number of sunlight hours she can expect each day in June is 9.9 hours

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