Which expression is equivalent to 32 + 16?

Answer:

His profit was 15%

Step-by-step explanation:

120*2€ = 240€

72*2.5€ = 180€

120-72 = 48

48*2€ = 96€

And now a simple proportion:

240€ = 100%

276€ = x

x = (276*100)/240 %

x = 115%

115%-100% = 15%

His profit was 15%

Answer:

b) 2.52 x 10^(-2)

Step-by-step explanation:

0.7 X 3.6 = 2.52

2.52 X 10^(-2)

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

The domain of the graph in the form of inequality will be -4 ≤ x < 4.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The domain means all the possible values of x and the range means all the possible values of y.

The domain of the graph will be [-4, 4). Then the domain of the graph in the form of inequality will be -4 ≤ x < 4.

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Answer:

Step-by-step explanation:

18+x=24 and 6x+3 fail distributive property, while 3(6+x)=72 is not the same as 3(6+x)=24

Answer:

  a)  {5, 6}

  b)  {2, 3, 4, 5, 6, 7, 8, 9}

  c)  {0, 1, 7, 8, 9}

  d)  {0, 1, 2, 3, 4}

Step-by-step explanation:

The intersection of sets is the set of elements common to both. The union of sets is the set of all elements that are part of either set. The complement of a set is the set of elements in the universal set that are not in the set of interest.

__

  {2,3,4,5,6} ∩ {5,6,7,8,9} = {5, 6}

__

  {2,3,4,5,6} ∪ {5,6,7,8,9} = {2,3,4,5,6,7,8,9}

__

  U -A = {0,1,2,3,4,5,6,7,8,9} -{2,3,4,5,6} = {0,1,7,8,9}

__

  U -B = {0,1,2,3,4,5,6,7,8,9} -{5,6,7,8,9} = {0,1,2,3,4}

Answer:

12 tiles

Step-by-step explanation:

Let,

Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.

[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]

Let,

[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]

We are already given:

[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]

To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.

[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]

Divide 10 both sides to obtain the width of the larger rectangle.

[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]

Simplify the equation as necessary.

[tex]\implies \text{B}_{2} = 12[/tex]

Thus, the width of the larger rectangle is 12 tiles.

[tex]\dfrac{-2x+5}{x+4} - \dfrac{8}{x+3}\\ \\= \dfrac{(-2x+5)(x+3)-8(x+4)}{(x+4)(x+3)}\\\\=\dfrac{-2x^2-6x+5x+15 -8x -32}{x^2+3x+4x+12}\\\\=\dfrac{-2x^2-9x-17}{x^2+7x+12}\\\\\\=\dfrac{-2x^2+(-9)x +(-17)}{x^2+7x+12}\\\\\text{Hence, }~ A=-2,~ B=-9, ~C=-17, ~D=12[/tex]

Answer:

x=7

Step-by-step explanation:

1, Add 2 to both sides.  This gives us [tex]\sqrt{7x} =7[/tex]

2. Square both sides.  This gives us [tex]7x=49[/tex]

3. Divide both sides by 7.  This gives us [tex]x=7[/tex]

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it's well known that the value of sin60 is sqrt 3/2

it's also the same as cos 30

Answer:

A 37,518

Step-by-step explanation:

this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.

I assume the base of S is the disk centered at the origin, or x² + y² ≤ r². Solving for y gives two solutions corresponding to the upper and lower halves of the circular boundary,

[tex]x^2+y^2 = r^2 \implies y = \pm \sqrt{r^2-x^2}[/tex]

and the vertical distance between them - i.e. the side length of each cross section - is

[tex]\sqrt{r^2-x^2} - \left(-\sqrt{r^2-x^2}\right) = 2\sqrt{r^2-x^2}[/tex]

Then the volume of each square cross section 4 (r² - x²) ∆x, and the volume of S is

[tex]\displaystyle \int_{-r}^r 4(r^2-x^2) \, dx[/tex]

By symmetry, this is the same as

[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx[/tex]

which gives a volume of

[tex]\displaystyle 8 \int_0^r (r^2-x^2) \, dx = 8 \left(r^3 - \frac{r^3}3\right) = \boxed{\frac{16r^3}3}[/tex]

In a randomized block design, it is expected treatments are randomly assigned within each block.

The purpose is to minimize the effect of certain factors such as age.

Based on the above, it is expected in this experiment the treatment is randomly assigned to a specific number of subjects within each block.

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Answer:

x=5/3

Step-by-step explanation:

there is only 1

Answer:

D (1;3).

Step-by-step explanation:

1) the condition 'across the X-axis' means the x-coordinate is not changed, the y-coordinate is changed to positive value. Then

2) the required coordinates of point D are (1; 3).

note, the suggested option is not the only one.

Answer:

60 degrees

Step-by-step explanation:

any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.

Step-by-step explanation:

\begin{gathered}x^2 + y^2 + 17 = 138\\x^2 + y^2 = 138 - 17\\x^2 + y^2 = 121\\x^2 + y^2 = 11^2\\Radius = 11\end{gathered}

x

2

+y

2

+17=138

x

2

+y

2

=138−17

x

2

+y

2

=121

x

2

+y

2

=11

2

Radius=11

The solution set for the equation |4x - 9| + 3 = 8 are its true values

The solution set is x = 3.5 or x = 1

The equation is given as:

|4x - 9| + 3 = 8

Subtract 3 from both sides

|4x - 9| = 5

Remove the absolute bracket

4x - 9 = 5 or 4x - 9 = -5

Add 9 to both sides

4x = 14 or 4x = 4

Divide both sides by 4

x = 3.5 or x = 1

Hence, the solution set is x = 3.5 or x = 1

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Answer:

The International System of Units, or Le Système International d'Unités (SI), was established in 1960. The SI system of units is essentially a modernized metric system. SI is the official system of units for science and has been adopted for commerce and technology in Canada and most other nations. The seven units upon which the SI system is based are listed in the table that follows.

Step-by-step explanation:

Answer:

To measure the extracellular fluid volume, use a cell inpermeant marker substance such as inulin or mannitol that will equilibrate everywhere except in the cells (it is possible to make inulin and mannitol radioactive).

Step-by-step explanation:

Answer:

C 4,200

Step-by-step explanation:

THE FIRST ANSWER I PUT WAS INCORRECT 70 TIMES 60 = 4,200 because 70 has one 0 and 60 has one 0 use that as a strategy so there's two 0,s when you combine it and its at the end of 4,200 so sice 6 times 7 or 7 times 6 = 42 put the two 0,s at the end and add it to 42 then you get 4,200 or 4200 you don't have to put the comma but it helps let you know 4,000 is part of the thousands and lets you know to seperate it from the hundreds so it's better to add the comma if you want to if you don't want to then it's okay but you might get a answer wrong without a comma so the answer is C 4,200!!!!!!!!!!

There are 3 odd numbers on the die so the theoretical probably of getting odd is 3/6 = 1/2

Samantha that rolled the die 4 times and got odd every time so her experimental probability was 4/4 = 1

Jeanie rolled the die 16 times and got 6 odds for an experimental probability of 6/16 = 3/8

3/8 is closer to 1/2

Answer: C. Jeanie’s

Answer:

5.56 ft

Step-by-step explanation:

30.48 cm per foot

170 cm ÷ 30.48 cm/ft = 5.56 ft

Hope this helps!

Answer: y = 9x2 + 18x – 6

Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6

The graph is a parabola with axis of symmetry at x = –1.

The graph is a parabola with axis of symmetry at x = 6.

The graph is a parabola with axis of symmetry at x = 1.

The graph is a parabola with axis of symmetry at x = 9.

Using empirical rule, 99.85% of the data falls above 61

Data;

Using empirical rule, it states that 68% of data is within 1 standard deviation from the mean mean± standard deviation 95% of data falls within 2 standard deviations from the mean mean± 2* standard deviation and 99.7% of data falls within 3 standard deviations from the mean mean± 3sd . So we can say that 0.15% of data are below mean minus 3 * standard deviation and 0.15% of data are above mean+3sd. In this case, the mean is 67 , SD = 3.

And if 61 is 3×SD below mean

[tex]Pr(X > 61)=1-Pr(X\leq 61) = 1 - 0.0015 = 0.9985\\1-0.0015=0.9985[/tex]

99.85% of data is above 61

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The coordinates of the vertices A'B'C when ABC is dilated by a scale factor of 1/6 are 1/6(x,y)

The rule of transformation is given as:

Dilation by a scale factor of 1/6

Mathematically, this is represented as:

(x,y) => 1/6(x,y)

This means that the coordinates of the vertices ABC are multiplied by 1/6 to get the coordinates of the vertices A'B'C

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Answer:

there would be around 40,000 colony of bats

There to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.

An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.

y = a(1+r)ˣ,

where a is the initial population and r is the rate in decimals and x is the time period.

To solve this problem, we need to use the formula for exponential growth:

N = N₀ (1 + r)ˣ

where:

N is the final number of bats after x years

N₀ is the initial number of bats

r is the annual growth rate (expressed as a decimal)

x is the number of years.

We can use the information given in the problem to find the values of N0, r, and t for the first two time periods:

For the first 4 years:

2025 = N₀(1 + r)⁴

For the next 2 years (6 years in total):

18225 = N₀ (1 + r)⁶

To solve for N₀ and r, we can divide the second equation by the first equation:

18225/2025 = (N₀ (1 + r)⁶) / (N₀(1 + r)⁴)

9 = (1 + r)²

Taking the square root of both sides, we get:

1 + r = 3

r = 2 (since r is expressed as a decimal)

Now that we know r, we can use either of the two original equations to find N₀. Let's use the first equation:

2025 = N₀(1 + 2)⁴

2025 = N₀(81)

N₀ = 25

So the initial number of bats was 25, and the annual growth rate is 200% (or 2 as a decimal).

Now we can use the formula to find the number of bats after 12 years:

N = 25 (1 + 2)¹²

N = 25 (531441)

N = 13,286,025

Therefore, we can expect there to be about 13,286,025 bats in the colony after 12 years if the growth rate remains constant.

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Answer:

3.6 m/h

Step-by-step explanation:

Distance (d) = 9 Km

Time (t) = 2.5 hour

Speed ( s )

Speed = Distance / Time

s = d / t

s = 9 / 2.5

s = 90 / 25

s = 18 / 5

s = 3.6 Km/h