Determine the intercepts of the line.
-5x-4y=10−5x−4y=10

Answer: 72

Step-by-step explanation:

Cos 18 degrees = 0.951...

Sin -1 (0.951) = 72

So the answer is 72 degrees.

The products of 2.1.1 x(x-1) 2.1.2 (-3)(x² + 3x + 9) is -3x² - 9x - 27

2.1.1 x(x-1) can be simplified using the distributive property of multiplication:

x(x-1) = xx - x1 = x^2 - x

2.1.1 x(x-1):

Expanding the expression x(x-1) using the distributive property:

x(x-1) = x^2 - x

Therefore, the product of 2.1.1 is:

x(x-1) = x^2 - x

2.1.2 (-3)(x² + 3x + 9):

Expanding the expression (-3)(x² + 3x + 9) using the distributive property:

(-3)(x² + 3x + 9) = -3x² - 9x - 27

Therefore, the product of 2.1.2 is:

(-3)(x² + 3x + 9) = -3x² - 9x - 27

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Answer:

B. got the perfect situation

Step-by-step explanation:

here

24flowers are distributed in 6 vase equally

that mean

\( \frac{24}{6} \)

this may help you (:

Answer:

32-8x=y^2 or x=4-y^2/8

Step-by-step explanation:

The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

Answer:

45 sq. in.

Step-by-step explanation:

Area = 4 x 4 + 9 x 4 + 1/2 x 2 x 3

= 16 + 36 + 3

= 45 sq. in.

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

The graphed function's rate of change is the same, however

a lesser base line.

A mathematical expression shows the value of something by combining numbers, variables, and operators. A mathematical statement known as an equation involves setting two expressions equal to one another.

Mathematical operations like addition, subtraction, multiplication, and division can be used to mix integers and numbers to create a numerical expression.

In the mathematics curriculum and in mathematics in general, algebraic expressions are crucial. Students must be proficient in computations and the manipulation of algebraic expressions in order to advance and do well in mathematics. They must also be able to understand and write expressions.

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Answer:

50

Step-by-step explanation:

I took the test

qwerty

2.8% the answer is 2.8% and b is 2.8%

Answer:

n^2 + 3

n^2 - 2

3n^2.

Step-by-step explanation:

(a)

n      =      1  2  3   4    5

terms =   4  7  12  19  28

n^2 =        1  4    9  16  25

Subtract:  3  3    3   3    3

So the nth term is  n^2 + 3

(b)

n =               1    2   3   4   5

terms =      -1   2   7  14  23

n^2 =            1    4   9 16   25

n^2 - term =  2  2   2  2    2

So it is n^2 - 2

(c)

n =                 1    2   3   4   5

terms           3  12 27 48 75

n^2 =             1    4   9 16   25

each term = 3 * n^2

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

Answer: 1/4

Step-by-step explanation:

1/4 of the hour remains because if you take 1/4 plus 1/6 it becomes 5/12 and 2/3 subtracted by 5/12 is 1/4

Answer

6 inches

Step-by-step explanation:

Answer:

Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. ...

Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

Step-by-step explanation:

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

Answer:

a) \(x(x+3)\)

b) \(2x(x-8)\)

c) \(3x(2+3x^{2})\)

d) \(4x^{2} (3x-1)\)

Step-by-step explanation:

a) \(x^{2} +3x=x(x+3)\)

b) \(2x^{2} -8x=2x(x-8)\)

c) \(6x+9x^{3} =3x(2+3x^{2})\)

d) \(12x^{3} -4x^{2} =4x^{2} (3x-1)\)

Factors of the following algebraic expression are

a. Factors of x² + 3x   are x and x+3

b. Factors of 2x² -8x  are 2, x and ( x-4)

c. Factors of 6x +9x³ are 3, x  and (2 + 3x²)

d. Factors of 12x³ - 4x² are 4, x, x and (3x -41)

The factor of an given algebraic expressions are one or more numbers or linear or other expressions that multiply to form the given algebraic expression and cannot be broken down further into simpler expressions.

For finding factors of an algebraic expression we can simply take out common expressions from all the terms of the expression and try to simplify it.

a. x² + 3x = x( x+3), (taking x common from both terms)

b. 2x² -8x = 2x ( x-4) (taking 2x common from both terms)

c.  6x +9x³ = 3x (2 + 3x²)   ( taking 3x common from both terms)

d.12x³ - 4x² = 4x× x × (3x -41) ( taking 4x²  common from both terms)

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To find the volume enclosed by the parabolic cylinder and the given planes, we need to subtract the volume under the parabolic cylinder between the two planes from the volume under the upper plane between the same limits.

First, let's find the limits of integration. Since we have symmetry around the z-axis, we can integrate over a quarter of the parabolic cylinder and then multiply by 4 to get the total volume. Since the parabolic cylinder is given by y = x^2, we have:

0 ≤ x ≤ sqrt(y)

0 ≤ y ≤ 4y - (3 + y) (since the upper plane is z = 4y and the lower plane is z = 3 + y)

Simplifying the second inequality, we get:

0 ≤ y ≤ 1

So the limits of integration are:

0 ≤ x ≤ 1

0 ≤ y ≤ x^2

Using the formula for the volume of a solid of revolution, we can express the volume under the parabolic cylinder between the two planes as:

V1 = pi ∫^1_0 (3 + x^2)^2 - x^4 dx

Simplifying the integrand, we get:

V1 = pi ∫^1_0 (9 + 6x^2 + x^4) - x^4 dx

V1 = pi ∫^1_0 (9 + 5x^2) dx

V1 = pi [9x + (5/3)x^3]∣_0^1

V1 = (32/3)pi

Similarly, we can express the volume under the upper plane between the same limits as:

V2 = pi ∫^1_0 (4y)^2 dy

V2 = pi ∫^1_0 16y^2 dy

V2 = (16/3)pi

So the volume enclosed by the parabolic cylinder and the given planes is:

V = 4V2 - 4V1

V = 4[(16/3)pi] - 4[(32/3)pi]

V = -16pi

Therefore, the volume of the solid enclosed by the parabolic cylinder and the given planes is -16pi. Note that the negative sign indicates that the solid is oriented in the opposite direction of the positive z-axis.

Answer:

4.5

Step-by-step explanation:

The equation of line which is graphed below is \(y = \frac{3}{2} x+3\).

The equation of line in the form of \(y = mx + b\) is called slope intercept form of a line.

Equation of line from two points is given by

\((y-y_{1} ) = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } (x-x_{1})\)

According to the given question

We have

A graph of line.

Since, line is passing through the points (-2, 0) and (0, 3)

Therefore, the equation of line through these points is given by

\((y-0) = \frac{3-0}{0-(-2)} (x-(-2))\)

⇒\(y = \frac{3}{2}(x+2)\)

⇒\(y = \frac{3}{2}x+3\)

Hence, the equation of line which is graphed below is \(y = \frac{3}{2} x+3\).

Thus, option A  is correct.

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Answer:

I'm pretty sure they're perpendicular, so B.

hope it's correct!

Step-by-step explanation:

Answer:

y = 4*9^x

Step-by-step explanation:

y=ab^x

4 = a*b^0

a = 4

324 = 4*b^2

81 = b^2

b = 9

y = 4*9^x

Ten bananas and ten pears will run you about £4.537.

Simultaneous equations are two equations with two unknown variables. From the given question;

If three bananas and two pears cost 95p and Five bananas and three pears cost £1.51, the equivalent equations will be:

3b + 2p = 0.95 * 3

5b + 3p = 1.51 * 2

Solve simultaneously;

6b + 6p = 2.85

10b + 6p = 3.02

Subtract

-4b = -0.17
b = 0.17/4

b = £0.0425

Since 3b + 2p = 0.95, hence

3(0.0425) + 2p = 0.95

0.1275 -0.95 = -2p

2p = 0.8225

p = 0.4112

The cost of  ten bananas and ten pears will be:

Cost = 10(0.0425) + 10(0.4112)
Cost  = 0.425 + 4.112
Cost = £4.537

Hence the cost of ten bananas and ten pears is approximately £4.537

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To find the possible whole centimeter lengths for the third side, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, we have:

- x + y > z

- x + z > y

- y + z > x

Substituting the given values, we get:

- 6 + 9 > z

- 6 + z > 9

- 9 + z > 6

Simplifying each inequality, we get:

- z < 15

- z > 3

- z > -3

The last inequality is true for any positive value of z, so we can ignore it. The other two inequalities give us a range of possible values for z:

- 4 ≤ z ≤ 14

Since we're looking for whole centimeter lengths, we can count the integers in this range:

- 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

There are 11 different whole centimeter lengths possible for the third side.

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As from question asking the probability of A be the event "the outcome is a divisor of 4".

According to given table there are three divisor of 4 i.e 1 and 2 and 4 so the probability for A is:

Answer:

\(P(Age\ 12) = \frac{2}{3}\)

Step-by-step explanation:

Given

        Age 11    Age 12    Total  

Girls   3             5              8

Boys   1             3             4

Required

\(P(Age\ 12)\)

The number of aged 12 children is:

\(Age\ 12 = 5 + 3\)

\(Age\ 12 = 8\)

The total number of children is:

\(Total=8+4\)

\(Total = 12\)

So, we have:

\(P(Age\ 12) = \frac{Age\ 12}{Total}\)

\(P(Age\ 12) = \frac{8}{12}\)

Simplify

\(P(Age\ 12) = \frac{2}{3}\)

Answer:

14\(\frac{2}{3}\)

Step-by-step explanation:

20 + 3.75x = 75  Subtract 20 from both sides

20 - 20 + 3.75x = 75 - 20

3.75x = 55  Divide both sides by 3.75

\(\frac{3.75x}{3.75}\) = \(\frac{55}{3.75}\)

x = 14\(\frac{2}{3}\)