Simplify: (5 – 2) – (18 – 25) =?
Simplify: 7 – (8 x 3)=?
Simplify: 6 - 4(6+2)=???
Simplify: –r + 7 + 3r – 9 – 2r =??

Answer:

$8.10

Step-by-step explanation:

6.75 ÷ 100 = 0.0675 x 20 = 1.35

1.35+6.75=$8.10

Answer:

Logic is the study of how to critically think about propositions or statements that are either true or false.

Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.

Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.

Step-by-step explanation:

Answer:

Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Step-by-step explanation:

Given that Jamie says the value of the expression 1.43 x (19/37) is close to 0.75, to determine if Jamie's estimate seems reasonable the following calculation must be performed:

1.43 x (19/37) = X

1.43 x 0.513 = X

0.7343 = X

0.75 = 100

0.7343 = X

0.7343 x 100 / 0.75 = X

97.9 = X

Therefore, Jamie's estimate is correct, since the result is 2.1% less than the estimated number.

Use the following formula:

[tex]A=2\pi rh+2\pi r^{2}[/tex]

Take the value of [tex]\pi[/tex] as 3.14 and add the values in the formula:

[tex]A=2(3.14)(2)(6)+2(3.14)(2)^{2}[/tex]

[tex]A=75.36+25.12[/tex]

[tex]A=100.48[/tex]

I hope this helped :)

Answer:

-1/2

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes.

The solution is, -1/2 is the slope of a line that is perpendicular to the line

shown on the graph.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

we have to,

find the slope of the line shown using

the formula, m = y1- y2 / x1- x2

from the given graph we get,

Let

P1(0,1)

P2(1,3)

now we get,

replacing

m = 2/1

   = 2

so, here, m1 = 2

two lines are perpendicular  when

m1 * m2 = -1

as, we know that,

Perpendicular lines have negative reciprocal slopes.

so, we get ,

m2 = -1/2

Hence, The solution is, -1/2 is the slope of a line that is perpendicular to the line

shown on the graph.

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Answer:

50 °

Step-by-step explanation:

that is the procedure above

Answer:

y(x) = -1/(x^2 + c_1 x)

Step-by-step explanation:

Solve Bernoulli's equation ( dy(x))/( dx) + y(x)/x = x y(x)^2:

Divide both sides by -y(x)^2:

-(( dy(x))/( dx))/y(x)^2 - 1/(x y(x)) = -x

Let v(x) = 1/y(x), which gives ( dv(x))/( dx) = -(( dy(x))/( dx))/y(x)^2:

( dv(x))/( dx) - v(x)/x = -x

Let μ(x) = e^( integral-1/x dx) = 1/x.

Multiply both sides by μ(x):

(( dv(x))/( dx))/x - v(x)/x^2 = -1

Substitute -1/x^2 = d/( dx)(1/x):

(( dv(x))/( dx))/x + d/( dx)(1/x) v(x) = -1

Apply the reverse product rule f ( dg)/( dx) + g ( df)/( dx) = d/( dx)(f g) to the left-hand side:

d/( dx)(v(x)/x) = -1

Integrate both sides with respect to x:

integral d/( dx)(v(x)/x) dx = integral-1 dx

Evaluate the integrals:

v(x)/x = -x + c_1, where c_1 is an arbitrary constant.

Divide both sides by μ(x) = 1/x:

v(x) = x (-x + c_1)

Solve for y(x):

y(x) = 1/v(x) = -1/(x^2 - c_1 x)

Simplify the arbitrary constants:

Answer: y(x) = -1/(x^2 + c_1 x)

Answer:

The answer is "0,3,-3".

Step-by-step explanation:

Let the matrix is not invertible.

then |A|=0

[tex]\left|\begin{array}{ccc}0&9&a\\a&1&7\\0&a&1\end{array}\right|=0[/tex]

[tex]-a[9-a^2]=0\\\\a=0\\\\a=\pm 3\\\\a=0, 3,-3\\[/tex]

Answer:

Slope is the change in y over the change in x.  Just subtract and simplify the fraction.

Step-by-step explanation:

(-3 - 4)

______

(-2 - 6)

Answer:

Perimeter = 1 unit

Step-by-step explanation:

[tex]length \ is \ a \ fraction \ 2 \ over \ 3 = \frac{2}{3}\\\\Width \ is \ a \ fraction \ 1 \ over \ 3 = \frac{1}{3}\\\\Perimeter = 2 ( l + w)\\[/tex]

               [tex]= 2 \times (\frac{2}{3} + \frac{1}{3}) \\\\=2 \times (\frac{3}{3})\\\\= 1 unit[/tex]

the ladder is 10 ft long.

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

sqrt of 100 = sqrt of c^2

10ft = C

Answer: 40.27

Step-by-step explanation:

Let their September bill be x

Therefore, the October bill will be = x - 3.87.

Therefore, the addition of both bills will be:

x + (x - 3.87) = 237.75

x + x - 3.87 = 237.75

2x - 3.87 = 237.75

2x = 237.75 + 3.87

2x = 241.62

x = 241.62/2

x = 120.81

Therefore, September bill was 120.81

Since the 3 students share the bull equally, the amount owed by each will be:

= 120.81 / 3

= 40.27

Each person owes 40.27

Answer:

6.71

Step-by-step explanation:

→ Find a triangle to use

Tan = Opposite ÷ Adjacent

→ Rearrange to make opposite the subject

Opposite = Tan × Adjacent

→ Substitute in the values

Opposite = Tan (40) × 8

→ Simplify

Opposite = 6.71

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

By ''SAS theorem'' triangle ABC is similar to DEF.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

To find the theorem which can be used to verify triangle ABC is similar to DEF.

Now,, By figure,

There are one angle are common.

And, Ratio of two sides are equal.

Hence, By ''SAS theorem'' triangle ABC is similar to DEF.

Learn more about the triangle visit;

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Answer: 18:27 I believe

Step-by-step explanation: There are 18 white socks and 27 black socks therfore the answer is 18:27

Answer:

It is a function.

Step-by-step explanation:

I would suggest use the website Desmos.

The surface area is 324

Answer:

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Step-by-step explanation:

The formula for surface area of a rectangular prism is this :

A = 2(wl + hl + hw)

l = 6, w = 5, h = 12.

Now knowing these values, we can solve for A.

A = 2(wl + hl + hw) = 2(5 · 6 + 12 · 6 + 12 · 5) = 324

The surface area of this rectangular prism is 324 [tex]inches^{2}[/tex].

Hope this helps, please mark brainliest. Have a great day!

Answer:

9x^3 y^5

Step-by-step explanation:

Since the formula to finding area is (L*W = A), we first have to find the width.

Width: 3x^3 y^5 times 2 = 6x^3 y^5

Then we add them. So, 3x^3 y^5 + 6x^3 y^5 = 9x^3 y^5

Answer:

6ft

Step-by-step explanation:

first you need to properly provide your work

Answer:

16 in.

Step-by-step explanation:

formula to find area of a triangle

A=1/2bh

A=1/2(8)(4)

A=1/2(32)

A=16

hope this helps:)

Answer:

The right solution  is "[tex]9.7\times 10^{-10}[/tex]".

Step-by-step explanation:

According to the question,

The probability that male professional golfer makes hole in one will be:

[tex]P=\frac{1}{2780}[/tex]

Number of players,

n = 36

and,

[tex]q=1-P=\frac{2779}{2780}[/tex]

By using the Binomial theorem, we get

⇒ [tex]P(x=r) = \binom{n}{r} p^r q^{n-r}[/tex]

Bu substituting the values, we get

                   [tex]=\binom{36}{4} (\frac{1}{2780} )^4 (\frac{2779}{2780} )^{32}[/tex]

                   [tex]=9.74929\times 10^{-10}[/tex]

or,

                   [tex]=9.7\times 10^{-10}[/tex]

Answer:

Algorithm 1 uses:

n*log(n) operations.

While algorithm 2 uses:

n^(3/2) operations.

We want to see, as n grows, which algorithm uses fewer operations.

So we would want to first solve:

n*log(n) = n^(3/2)

This will give us the exact value of n such that the number of operations is the same in both algorithms.

dividing both sides by n we get:

log(n) = n^(3/2)/n = n^(3/2 - 1) = n^(1/2)

where we can use:

log(n) = ln(n)/ln(10)

ln(n) = ln(10)*n^(1/2)

This equation actually has no solutions.

This happens because the right side is always larger than the left side.

Then, the same thing happens for our two initial equations:

n^(3/2) is always larger than n*log(n), as you can see in the graph below, where n^(3/2)  is represented with the orange graph:

So we can conclude that the fist algorithm uses less operations as n grows.

Answer:

20

Step-by-step explanation:

34 plus 20 is 54

Answer:

Total weight = 111.6 lbs

Step-by-step explanation:

Given the following data;

Length = 1 feet

Width = 9.5 feet

Height = 13.5 feet

Mass of contents = 0.87 pounds per cubic foot

To find the weight of the contents in the container;

First of all, we would determine the volume of the rectangular prism;

Volume = length * width * height

Volume = 1 * 9.5 * 13.5

Volume = 128.25 cubic feet

Next, we find the overall weight;

Total weight = volume * mass of contents

Total weight = 128.25 * 0.87

Total weight = 111.6 lbs

Answer:

13 pizzas maybe

Step-by-step explanation:

Answer:

[tex]\frac{8}{100}[/tex]×5.40

Step-by-step explanation:

Answer:

4 litres

Step-by-step explanation:

First, we are going to find 60% of 20 litres.

20 × [tex]\frac{60}{100}[/tex] = 12 litres

∴ Pure milk 12 litres.

Now we find 40% of 20 litres.

20 × [tex]\frac{40}{100}[/tex] = 8 litres

To find the quantity of water to be added we subtract the 8 litres from the 12 litres.

12 - 8 = 4 litres

∴ 4 litres of water should be added so that pure milk becomes 40%

Answer:

option Ais false

Step-by-step explanation:

this is because even number can be divisible by 2 and its multiples as well which are larger than 2 as well.