Solve for q q : 30 + q = 43 30+q=43

Answer:

C

Step-by-step explanation:

multiply by 2 to be 2x-6

Answer:

x=8//

Step-by-step explanation:

2(x- 3)

or,2x-6

or,X=6+2

hence,X=8//

\(\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,\)

Answer:

$8000

Step-by-step explanation:

With the provided values you get the equation

1800+.15x=3000

with x being the amount of sales he needs

1. 3000-1800=1200

gives 1200=.15x

2. 1200/.15 = 8000

so x = 8000

Answer:

x = 2.004

Step-by-step explanation:

First, we need to get the variables to one side of the equation, so we must subtract 15.52 from both sides to get 5x on its own. When we do this, we now have 10.02 = 5x. We now have to solve for x and to do this we must divide both sides of the equation by 5. When we divide 10.02 by 5 we have 2.004. x = 2.004

Answer:

5x = 2.004

Step-by-step explanation:

Answer:

the closest estimate would be 300 boxes

the actual answer is closer to 322 boxes

Step-by-step explanation:

7715/24=321.458

hope this helps have a great day :)

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

\(\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}\)

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

\(\sf rate \ of \ change=\dfrac{3}{1}=3\)

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

\(\sf rate \ of \ change=\dfrac{2}{1}=2\)

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

Answer:

i got 3.14/17

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

U/6 = 8/17

cross multiply:

17 x U = 8 x 6

simplify

17U = 48

Divide both sides by 17

U = 48/17

U = 2.8 (nearest tenth)

Answer: 2.5 feet

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle in which the sides all have a fixed relationship with each other.  We only need to know one side to calculate the other two.

Make the side opposite the 30° angle x, then

The side opposite the right angle is 5ft, therefore:

2x = 5

x = 2.5ft, the side opposite the 30° angle

Then x*√3 is the third side:

(2.5)*(1.442) = 3.605 feet

Answer:

Step-by-step explanation:

When multiplying a number by 10 the number is 10 times greater.

If the number is decimal, 10 times the number will move decimal place one point to the right, it will make the whole part 10 times greater.

Example:

Correct choice is A

an = a * r^(n-1): The formula gives us the value of any term in the continuous proportion, provided we know the first term and the common ratio. Using this formula, we can easily calculate any term in the sequence.

To translate the statement of continuous proportion into modern algebraic notation, we can use the following equation:
a : b :: b : c :: c : y

This means that the ratio of a to b is equal to the ratio of b to c, which is also equal to the ratio of c to y. We can represent this common ratio as "r".

Then we can write:
b = ar
c = br = a r^2
y = cr = a r^3

In general, the nth term in the continuous proportion can be written as:
an = a * r^(n-1)

This formula gives us the value of any term in the continuous proportion, provided we know the first term and the common ratio. Using this formula, we can easily calculate any term in the sequence.

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The area of a bull's eye is equal to: B. 452.39 mm².

The area of a circle simply refers to the region enclosed or space occupied by a circle within its boundary, and in a two-dimensional plane.

Mathematically, the area of a bull's eye can be calculated by using this formula:

Area of bull's eye = πr²

Where:

r is the radius of a circle.

Note: The radius of the bull's eye is equal to 12 mm and π = 3.14159.

Substituting the given parameters into the formula, we have;

Area of bull's eye = π × (12)²

Area of bull's eye = 3.14159 × 144

Area of bull's eye = 452.39 mm².

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Answer: (h)q^3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you do 18.84 and divide that by 3.14 and you will get 6 which is the diameter of the circle

Answer:

1. no

2. 2,684,354,560 crickets

3. $9,200

4. b

5. 7.5

6.b

Answer: The answer is C) y= 2/3x-3

Step-by-step explanation:

i figure it out

Answer:

C

Step-by-step explanation:

so obviously your slop is 2/3. so it starts with y=2/3. so B is out of the question. since the slope is x in the equation, you still have to add the x in the equation; y=2/3x

1) The dimension of the base of the pool is; (x + 3) and (x + 8)

2) The volume of the pool when x = 3 ft is;  198 ft³

3) If the volume is 100 ft³ of water, the height x is; 2 ft

4) If the maximum capacity of the pool is 520 ft³, the maximum depth is; 5 ft

We are given that the volume of water in a rectangular, in-ground, swimming pool is; V(x) = x³ + 11x² + 24x

where;

V(x) is the volume in cubic feet when the water is x ft high

1) V(x ) =x³ + 11x³ + 24x

V(x) is the volume in cubic feet when the water is x ft high

Factorizing the polynomial into its' factors gives;

V(x) = x(x² + 11x + 24)

V(x) = x(x + 8)(x + 3)

The water is x ft high and so the dimensions of the base of the pool are (x + 3) and (x + 8)

2) We want to find the volume of the pool when x = 3 ft. Thus;

V(3) = 3(3 + 8)(3 + 3)

V(3) = 3 (11)(6)

V(3) = 198 ft³

3) If the volume is 100 ft³ of water, the height x is calculated as;

x(x + 8)(x + 3) = 100

Solving for x gives us;

x = 2 ft

4) If maximum capacity of the pool is 520 ft³, then the maximum depth is;

x(x + 8)(x + 3) = 520

Solving for x gives us;

x = 5 ft

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Answer:

The original price was $875.

Step-by-step explanation:

a = p * w

630 = 72% * w

630 / 0.72 = $875

$875 should be the original price, I hope this helps!

Answer:

90-26=64

64 is the value of x

Step-by-step explanation:

Fig. 2.6 alone does not provide sufficient information to calculate the percent elongation of materials. Percent elongation is a measure of the increase in length of a material after it has been subjected to a tensile load, and is calculated by dividing the increase in length by the original length and multiplying by 100.

Fig. 2.6 shows stress-strain curves for different materials, which provide information about the relationship between stress and strain for those materials. While the curve shape can provide some insight into the behavior of the material under load, it does not provide information about the original length or the change in length of the material, which are necessary to calculate percent elongation.

In order to calculate percent elongation, additional information about the material's original length and the change in length after a tensile load is required. This information can be obtained through laboratory testing or from material specifications provided by the manufacturer.

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The height and radius of the cone that will use the smallest amount of paper are h ≈ 2.45 cm and r ≈ 1.22 cm, respectively.

The minimum paper will be used when the surface area of the cone is minimized. Let the height and radius of the cone be h and r, respectively. Then, using the formula for the volume of a cone, we have:

V = (1/3)πr^2h = 33 cm^3

Solving for h, we get:

h = 99/(πr^2)

Next, we need to express the surface area of the cone in terms of r. The surface area is given by:

A = πr√(r^2 + h^2)

Substituting the expression for h obtained above, we have:

A = πr√(r^2 + (99/πr^2)^2)

To find the value of r that minimizes A, we take the derivative of A with respect to r and set it equal to zero:

dA/dr = π(2r√(r^2 + (99/πr^2)^2) + (r^2 + (99/πr^2)^2)^(-1/2)(2r(99/πr^3)))

Setting dA/dr = 0 and solving for r, we get:

r = (33/(2π))^(1/4) ≈ 1.22 cm

Substituting this value of r back into the equation for h, we obtain:

h ≈ 2.45 cm

Therefore, the height and radius of the cone that will use the smallest amount of paper are h ≈ 2.45 cm and r ≈ 1.22 cm, respectively.

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The relationships between the numerator and denominator coefficients of a circuit and the values of resistance (R), inductance (L), and capacitance (C) depend on the specific circuit configuration and the transfer function associated with it.

In general, the numerator coefficients of the transfer function represent the output variables of the circuit, while the denominator coefficients represent the input variables. The coefficients are determined by the circuit elements (R, L, C) and their interconnections.

For example, in a simple RC circuit (resistor and capacitor), the transfer function can be written as a ratio of polynomials in the Laplace domain. The denominator coefficients correspond to the characteristic equation of the circuit and involve the resistance and capacitance values. The numerator coefficients may be related to the initial conditions or external inputs.

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Let the number be y;

From the question, we can derive the below eaquation;

Let's go ahead and solve for y;

So, the number is 30.

The push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

Postfix expression refers to an expression in which the operator follows the operands. It is also known as the Reverse Polish Notation (RPN). A stack data structure is used to evaluate postfix expressions.

The given postfix expression is 6 4 + 3 10 * + 2 2 - +.

To evaluate the expression, the stack data structure is used:

Step 1: Push 6 into the stack.

Step 2: Push 4 into the stack.

Step 3: Pop 4 and 6 from the stack and add them. Then push the sum (10) into the stack.

Step 4: Push 3 into the stack.

Step 5: Push 10 into the stack.

Step 6: Pop 10 and 3 from the stack and multiply them. Then push the product (30) into the stack.

Step 7: Pop 30 and 10 from the stack and add them. Then push the sum (40) into the stack.

Step 8: Push 2 into the stack.

Step 9: Push 2 into the stack.

Step 10: Pop 2 and 2 from the stack and subtract them. Then push the difference (0) into the stack.

Step 11: Pop 0 and 40 from the stack and add them. Then push the sum (40) into the stack.

Therefore, the push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

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(a)The probability that exactly 1 of the chosen Californians were born outside the US when 4 Californians are chosen randomly where 27% of California residents were born outside the united states is 0.42.

The possibility that a value would take one of two independent values given a certain combination of factors or assumptions is summarized by the statistical distribution known as the binomial distribution.

The basic presumptions of the binomial distribution are that each trial has a single possible outcome, that each trial has an equal chance of success, and that each trial is either independent of the others or mutually exclusive.

This is a case of Binomial distribution where there is 0.27 probability a resident of California were born outside US and 0.73 probability they were born inside the US.

In this case of Binomial distribution, the total number of successful trial(n) is the number of Californian residents chosen that is n = 4. Probability that exactly 1 of the chosen resident is

P = 4C1 × (0.27)¹ × (0.73)⁽⁴⁻¹⁾

= 4!/ ((4-1)! × 1!) × 0.27 × 0.73³

= 4 × 0.27 × 0.389017

= 0.42013836

≈ 0.42

(d)For Standard Deviation,

σX = √ (0-.81)2(.389) + (1-.81)2(.432) + (2-.81)2(.159) + (3-.81)2(.02) = 0.769

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Answer:

P: (7,1)

Q: (6,-5)

R: (-4,1)

Step-by-step explanation:

Since you're reflecting across the x-axis, you just put the opposite of the y coordinates.

ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

The soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day for the soft drink vendor, we need to use the formula P(x) = 0.001x^2 + 3x + 1800, where x is the number of cans of soda pop sold in one day.

To find the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex is given by -b/2a, where a = 0.001 and b = 3. Plugging in these values, we get x = -3/(2*0.001) = -1500.

Since the soft drink vendor cannot sell a negative number of cans, we know that the maximum profit occurs at the closest whole number to x = -1500, which is x = 1500.

To find the maximum profit per day, we can plug in x = 1500 into the profit function:

P(1500) = 0.001(1500)^2 + 3(1500) + 1800 = $5250

Therefore, the soft drink vendor's maximum profit per day is $5250, and he must sell 1500 cans of soda pop to reach the maximum profit.

To find the maximum profit per day and the number of cans needed to reach that profit, we'll first need to find the critical point of the given quadratic profit function, P(x) = -0.001x^2 + 3x - 1800.

Step 1: Find the derivative of P(x) with respect to x. This will give us the rate of change of profit as the number of cans sold changes.

P'(x) = -0.002x + 3

Step 2: Set the derivative equal to zero and solve for x. This will give us the critical point where the maximum profit occurs.

-0.002x + 3 = 0

x = 1500 cans

Step 3: Substitute the critical point (x = 1500) back into the profit function P(x) to find the maximum profit.

P(1500) = -0.001(1500)^2 + 3(1500) - 1800

P(1500) = $600

So, the maximum profit per day is $600, and the soft drink vendor must sell 1500 cans to reach the maximum profit.

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The maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

The profit function for the soft drink vendor is given by:

P(x) = \(0.001x^2 + 3x + 1800\)

To find the maximum profit, we need to find the vertex of the parabola represented by this function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

where a = 0.001 and b = 3. Substituting these values, we get:

x = -3 / (2 * 0.001) = -1500

Since the value of x cannot be negative in this context, we know that the maximum profit occurs at x = 1500. To find the maximum profit, we substitute this value of x into the profit function:

P(1500) =\(0.001(1500)^2 + 3(1500) + 1800 = $4800\)

Therefore, the maximum profit per day is $4800, and the vendor must sell 1500 cans of soda pop to reach this maximum profit.

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The two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

The solution involves applying algebraic equation to find the unknown value.

The two high schools, Lincoln High School and Desert Mountain High School, have 3150 and 2475 students enrolled, respectively. Lincoln High School is estimating a decrease in enrollment at an average of 75 students per year. Meanwhile, Desert Mountain High School is expecting an increase of 60 students per year.

At these projected rates, the schools will have an equal number of students enrolled in 21 years.

To calculate the number of years that the two schools will have an equal number of students enrolled, you can use the formula:

L + 75x = D + 60x

Where L is the initial enrollment of Lincoln High School, D is the initial enrollment of Desert Mountain High School, and x is the number of years.

Substituting the given values, we get:

3150 + 75x = 2475 + 60x

Solving for x, we get:

15x = 675

x = 45

Therefore, the two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

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The expression that is a

parameterization of the line that passes through the point (2,-3) with a slope of 4 is option D. x= t and y = 4t - 6, for any t

It is a parameterization of the line that passes through the point (2,-3) with a slope of 4, because the point (2,-3) satisfies the equation x = t and y = 4t - 6 and the slope of the line is

A parameterization of a line is a set of equations that describe the location of points on the line in terms of a parameter. One common parameterization of a line is the point-slope form, which expresses the line as y = mx + b, where m is the slope of the line and b is the y-intercept.

Another common parameterization is the two-point form, which expresses the line as (x - x1)/(x2 - x1) = (y - y1)/(y2 - y1), where (x1, y1) and (x2, y2) are two distinct points on the line.

Therefore, the correct answer is as given above

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