What number gives a result of −3 when 7 is subtracted from the quotient of the number and 5?

To solve the the question we proceed as follows:

From trigonometric laws

\((cos x)^2+(sin x)^2=1\)

\((cos x)^2+(sin x)^2=1\)

\(sin (x-y)=sin\) \(x\) \(sin\) \(y-sin\) \(y\) \(cos\) \(x\)

\(cos (x-y)=cos\) \(x\) \(cos\) \(y+sin\) \(x\) \(xin\) \(y\)

si  \(x=\frac{8}{17}\)

\(cos\) \(x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}\)

\(cos\) \(y=\frac{3}{5}\)

\(sin\) \(x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}\)

thus

\(tan (x-y)=[sin (x-y)]/[cos (x-y)]\)

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

\([8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]\)

simplifying

\([24/85-60/85]/[45/85+32/85]\)

\(=-\frac{36}{77}\)

Answer:

$416.66

Step-by-step explanation:

We take

450 divided by 108, then time 100 = $416.66

So, the old fare is $416.66

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

Answer:

Shahwhehehehdjdjendbxbsnenenen

Answer: 39 minutes 51 seconds

Step-by-step explanation:

Nt=N0 * 2^n

N0=Initial population

n=number of times bacteria divide

700=320*2^n

log2(700/320)=1.129283017=n

45/1.129283017=39.84829252 minutes

0.84829252*60=50.89755135≈51seconds

so the answer is

39minutes and 51seconds

The statements that are true regarding the sequence below are

The given sequence include 10/3, 4, 24/5, 244/25

Applying the formula f(x) = 10/3 (6/5)ˣ⁻¹ to it

for x = 1, f(x) = 10/3 (6/5)¹⁻¹ = 10/3

for x = 2, f(x) = 10/3 (6/5)²⁻¹ = 4

for x = 3, f(x) = 10/3 (6/5)³⁻¹ = 24/5

This shows that the formula works for it hence a correct statement

Real numbers include all positive and negative numbers, fractions and decimals alike and the domain are natural numbers which are part of real numbers

The range are also all real numbers and this go beyond natural numbers

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The amount to start the business, the cost to make a lemonade, and the amount Bill intends to sell a glass of lemonade indicates the costs and revenues are;

a) Cost = 1.20 + 0.06·x

b) Revenue = 0.10·x

c) Please find attached the required graph created with MS Excel

d) The point of intersection is the break even point of the business

e) i) Loses money

ii) Makes money

iii) Makes money

A revenue is the sum of the amount received by a business for the goods and or services sold within a period.

The cost to start the business = $1.20

The cost of each glass of lemonade = $0.06

The amount he plans to sell a glass of lemonade = $0.10

a) The cost of the lemonade is; C = 1.20 + 0.06 × x

b) The revenue from the sale of the lemonade is R = n × 0.10

c) Please find attached the graph of both equations on the same axis, creates with MS Excel

d) The point of intersection, (30, 3), means that the cost and revenue are the same after selling 30 glasses of the lemonade, which is the breakeven point.

e) The graph and the function indicates that Bill makes 20 × $0.1 = $2 from the sale of 20 lemonade

The cost of 20 lemonade = $1.2 + 20 × $0.06 = $2.4

The cost is more than the revenue, therefore, Bill loses money

ii) 35 glasses sold indicates;

Revenue = 35 × 0.1 = 3.5

Cost = 1.2 + 35 × 0.06 = 3.3

The revenue is more than the cost and therefore, Bill makes a profit

iii) 50 glasses

Revenue = 50 × 0.1 = 5

Cost = 1.2 + 50 × 0.06 = 4.2

Bill makes money

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Answer:

30

Step-by-step explanation:

g(11)= 11-2=9

f(9)= 9²-54+3= 30

9514 1404 393

Answer:

  314 square inches

Step-by-step explanation:

The radius is half the diameter. If the diameter is 20 inches, the radius is 20/2 = 10 inches. The area is given by the formula ...

  A = πr²

Filling in the given values, we get ...

  A = 3.14×(10 in)² = 314 in² . . . . area of the circle

Answer:

x=-5

Step-by-step explanation:

Answer:

x = -5

4x + 12 = -8

4x = -20

x = -5

Hope this helps

Answer:

No

Step-by-step explanation:

The sum of any two sides of a triangle must be greater than the remaining side.

Here, 3+4=7 which is NOT greater than 11

Answer:

No there is no chance of the triangle having length 3,4 and 11

Answer:

y = x - 1

Step-by-step explanation:

lmk if you want an explanation

Answer:

Hi there!

An inequality to demonstrate this is:

105.5 + 7.5x >= 250

Hope this helps

Answer:

There are no solutions.

Step-by-step explanation:

When you solve for x in the first equation, you get x = (-1-y)/6. Plugging this value for x into the second equation gives you -4y = 4 + y, which has no solutions.

Matrices A and B are non-invertible matrices that can be added together to form an invertible matrix. To find these matrices, we can use the following steps:

Step 1: Choose a matrix A that is not a diagonal matrix and is not invertible. One example of such a matrix is

\(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\)

Step 2: Choose a matrix B that is not a diagonal matrix, is not invertible, and is not a scalar multiple of matrix A. One example of such a matrix is
\(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\)

Step 3: Add the matrices A and B together to form the matrix A+B. This matrix will be invertible, as shown below:

\(A+B = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]+\left[\begin{array}{ccc}0&0\\1&1\end{array}\right]=\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\)

Step 4: Verify that the matrix A+B is invertible by finding its determinant. The determinant of a 2x2 matrix is given by:

det(A+B) = (1)(1) - (1)(1) = 0

Since the determinant of the matrix A+B is not equal to zero, the matrix is invertible.

Therefore, the matrices \(A = \left[\begin{array}{ccc}1&1\\0&0\end{array}\right]\) and \(B = \left[\begin{array}{ccc}0&0\\1&1\end{array}\right]\) are non-invertible matrices that can be added together to form an invertible matrix \(A+B =\left[\begin{array}{ccc}1&1\\1&1\end{array}\right]\).

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The value of the variables in the right triangle are as follows;

A right triangle is a triangle that has one of its angles as 90 degrees.

The side of a right triangle can be found by using trigonometric ratios.

Therefore, let's find the variable length of the right triangle as follows;

sin 30 = opposite / hypotenuse

sin 30 = v / 3√2

1 / 2 = v / 3√2

cross multiply

3√2 = 2v

divide both sides by 2

v = 3√2 / 2

Let's find the variable w.

cos 30 = adjacent  / hypotenuse

cos 30 = w  / 3√2

√3 / 2 = w  / 3√2

cross multiply

√3 × 3√2 = 2w

3√6 = 2w

divide both sides by 2

w = 3√6 / 2

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Answer:

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.

Step-by-step explanation:

We are given to select the set of transformations that has been performed on triangle PQR to form triangle P'Q'R'.

From the graph, we note that

the co-ordinates of the vertices of triangle PQR are P(-4, 2), Q(0, 0) and R(2, 6).And, the co-ordinates of the vertices of triangle P'QR' are P'(-2, -1), Q'(0, 0) and R'(1, -3).

Let the dilation factor applied on triangle PQR to form triangle P'Q'R' be represented by d.

Then, we observe that

1/2 × P(-4,2)=(-2,1),

1/2 × Q(0,0)=(0,0),

1/2 × R(2,6)=(1,3).

So, the value of d will be

d = 1/2.

Again, to arrive at the vertices of triangle P'Q'R', we need to change the sign before the y co-ordinates ((x, y)   ⇒   (x, -y)) of each new vertex hat we found after dilation.

That is.(-2, 1)   ⇒   P'(-2, -1),

(0, 0)   ⇒   Q'(0, 0),

(1, 3)    ⇒   R'(1, -3).

This is reflection over X-axis.

Therefore, the set of transformation is given by

Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Answer: look at the picture and I can’t solve y for you.

Step-by-step explanation: Hope this help :D

Answer:

it should be C

Step-by-step explanation:

I hope this helps! I am sorry if I am wrong!

Answer:

c

Step-by-step explanation:

2-2(3x-1)=2 2-6x+2=2 . 2-6x+2=2 4-6x=2 . -6x+4=2 . -6x+4-4=2-4 -6x=-2  -6x=-2 -6x/-6=-2/-6 x=1/3 .

Answer:

x ≤ \(\sqrt[2]{2}\)

Step-by-step explanation:

x² ≤ 8

\(\sqrt{x^{2} }\) ≤ \(\sqrt{8}\)

x ≤ \(\sqrt[2]{2}\)

Answer:

Step-by-step explanation:

\(\frac{1879}{2610} = 0.719 = 72\)

Answer:

Input (x) is going up by one each time.

Output is going up 3 each time.

Answer:    for input (x) add +1 to the number for output add +3 to the number

Step-by-step explanation:

Answer: The lengths of the triangles with the sides a b and c can be visualized as follows:

Using the Pythagorean theorem, we can construct the following equation related to the triangle shown:

Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

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Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

Answer:x= 16.5

Step-by-step explanation:as both the triangles are similar, then

AB/ PQ=AC/ PR

16/24=18/(2x-6)

x= 16.5