b) Factorise fully
8x + 12x

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

it A the region receives much less rain fall

Answer:

fridge. door. cabinet. Each line goes from bottom right to top left

Step-by-step explanation:

Answer:

B= 3xy

Step-by-step explanation:

6xy^3= 2ₓ3ₓ x ₓyₓyₓy

9x^2y= 3ₓ3ₓ x ₓ x ₓ y

common factors = 3, x , y

HCF:  3 ₓ x ₓ y

     =3xy

The volume of right prism is equal to 464 cubic inches.

Volume of right prisms (V), in cubic inches, is equal to the product of cross area (A), in square inches, and height (h), in inches:

V = A · h

According to figure, cross area is the result of adding the areas of three rectangles. Area formula for rectangles is:

A' = w · l

Where:

First, determine the cross area of the prism:

A = 2 · (3 in) · (7 in) + (4 in)²

A = 42 in² + 16 in²

A = 58 in²

Second, calculate the volume of the right prism:

V = (58 in²) · (8 in)

V = 464 in³

The right prism has a volume of 464 cubic inches.

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The problem wants us to solve for the area of the window.

As we can see the window is in the form of a SQUARE shape with a measurement of 0.25 in for 1/2 the side of the window.

Since 1/2 of the side of the window is 0.25, the full measurement of its side is just times two of its half. Therefore:

Side = 0.25(2) = 0.5 in

And we can see at the bottom of the picture the word SCALE. The SCALE shows the relationship between the measurement of something (in our case a cabin) in a model to the measurement of that something in the real life.

In our case we have a scale of 1 in = 8 ft, it means that 1 inch in the paper is actually 8 feet in real life. Therefore the side of the window which measures 0.5 in. in the paper is actually 4 feet in real life. Because 0.5 inch is half of 1 inch and 4 feet is half of 8 feet. To show it mathematically we have:

Since we now have a side of 4 ft. We can now solve for the area of our SQUARE WINDOW, using the formula of the area of the sqaure which is Area = Side x Side.

Therefore the area of the window is 16 square feet. LETTER C.

Answer:

O both collinear and coplanar

Step-by-step explanation:

Points A, Q, and C are collinear since all three lie on the same line.

Any collinear points are automatically coplanar.

The triangles are proven congruent by the AAS congruence theorem.

We have that the congruence of the angles is listed as follows:

As for the sides, we have that BC = DF, and the side is not between the angles, hence we have that the Angle - Angle - Side (AAS) congruence theorem proves that triangles BAC and DEF are congruent.

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Answer:

The population in 14 weeks is 232 fishes

Step-by-step explanation:

The equation for exponential growth is f(x) = a·(1 + r)ˣ

Where;

a = The starting population size = 3

r = The rate at which the population of grows

x = The number of periods to of change of the population

Therefore, we have;

f(6) = 31 = 3 × (1 + r)⁶

31/3 = (1 + r)⁶

㏑(31/3) = 6㏑(1 + r)

(㏑(31/3))/6 =㏑(1 + r)

1 + r = e^((㏑(31/3))/6) ≈ 1.476

1 + r ≈ 1.476

Therefore, the population in 14 weeks is given as follows;

f(14) = 3 × (1.467)¹⁴ ≈ 232.574

Given that we the information is with regard of living things, such that there are no fractions, we round down to the nearest whole number as follows;

f(14) ≈ 232

The population in 14 weeks = 232 fishes.

Answer:

1/16

Step-by-step explanation:

Since no cards are removed between each shuffle, the chance of drawing a spade both times remains the same, meaning it is 1/4 both times. 1/4 * 1/4 =1/16

The probability of drawing two spades in two draws if the first card is returned to the deck between draws will be 1 / 16.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of samples

Given that the chance of drawing a spade from a deck of cards is 1/4. If the deck is shuffled between draws.

The probability will be calculated as,

Probability = 1 / 4 x 1/ 4

Probability = 1 / 16

Hence, the probability will be equal to 1 / 16.

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Answer:

\(x=9, AB=BC=AC=35\)

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that \(AB=BC=AC\). We are given the lengths of all 3 sides in terms of \(x\), but we only need to set two of them equal to each other to solve for \(x\). Let's use \(AB\) and \(BC\) to solve for \(x\). We know that \(AB=BC\), \(AB=2x+17\), and \(BC=6x-19\). Therefore, we can write the following equation to solve for

\(AB=BC\\2x+17=6x-19\) (Substitute given values into equation)

Solving for \(x\), we get:

\(2x+17=6x-19\\2x+17-17=6x-19-17\) (Subtract \(17\) from both sides of the equation to isolate constants)

\(2x=6x-36\) (Simplify)

\(2x-6x=6x-36-6x\) (Subtract \(6x\) from both sides of the equation to isolate \(x\))

\(-4x=-36\) (Simplify)

\(\frac{-4x}{-4}=\frac{-36}{-4}\) (Divide both sides of the equation by \(-4\) to get rid of \(x\)'s coefficient)

\(x=9\) (Simplify)

Therefore, \(AB=2x+17=2*9+17=18+17=35\), and \(AB=BC=AC=35\). Hope this helps!  

Answer:

x = y/4 + 5/4  

y = 4x-5

Step-by-step explanation:

I hope this helps!

The number of volunteers who worked more than 15 hours can be found by summing up the frequencies

of the bars in the histogram that represent the groups with more than 15 hours of community service.

To determine how many volunteers worked more than 15 hours using the given histogram.

Identify the section of the histogram that represents volunteers who worked more than 15 hours.

Read the height (frequency) of the bars representing the groups of volunteers with more than 15 hours of community

service.

Add the frequencies of these bars to get the total number of volunteers who worked more than 15 hours.

In conclusion, the number of volunteers who worked more than 15 hours can be found by summing up the frequencies

of the bars in the histogram that represent the groups with more than 15 hours of community service.

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Answer:

(4,3),(1,0)

Step-by-step explanation:

There is a calculator that can solve this. its called mathaway.

Answer:

1 feet

Step-by-step explanation:

15-14

Answer:

68%

Step-by-step explanation:

In normal distribution, the empirical rule (aka 68-95-99.7 rule) describes the approximate proportion of data that falls within certain distances from the mean of a normal distribution. Specifically, the rule states that:

The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

An equation shows the relationship between numbers and variables.

Given that:

\(P=73.3\sqrt[4]{m^3} \\\)

Where P is the metabolism rate in calorie per day for m mass.

a) For m = 60:

\(P=73.3\sqrt[4]{60^3} \\\\P=1580.2\)

The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.

b)

\(P=73.3\sqrt[4]{m^3} \\\\\frac{P}{73.3} = \sqrt[4]{m^3} \\\\m = \sqrt[3]{(\frac{P}{73.3} )^4}\)

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Step-by-step explanation:

Given: r=9cm

Volume of sphere=4/3πr^3

=4/3*3.14*9^3

=3052.08 cm^3

Answer:

-2x³-4x²+11x+15, mark me as brainliest

Answer:

-2x^2 + 3x + 8

Step-by-step explanation:

You have to combine like terms.

The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .

It refers to the method of sampling , where the data or information is collected from a certain specified group of people , is referred to as quota sampling .

The method is helpful for marketing the goods and services of the company .

The likes and dislikes of the people is given the priority and the product is altered according to the taste of the consumers , in order to increase the sale of the product .

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Answer:

12

Step-by-step explanation:

This would be the 5th term in the sequence.

Numbers are decreasing by two

Hope this helps!

Answer:

12 would be the 5th term

you can determine the weight of the concrete column in pounds = m * 2.20462 lbs/kg based on the given values of height (h), diameter (d), density (rho), and assuming a weight of 359 lbs (w) is not necessary for this calculation.

To find the weight of the concrete column in pounds, we can use the following steps:

1. Convert the diameter from millimeters to meters:

  d = 300 mm = 0.3 m

2. Calculate the cross-sectional area of the column:

  A = π * (d/2)^2

3. Calculate the volume of the column:

  V = A * h

4. Convert the density from milligrams per cubic meter to pounds per cubic meter:

  rho = 2.3 mg/m^3 = 2.3 * 10^-6 lbs/m^3

5. Calculate the mass of the column:

  m = V * rho

6. Convert the mass from kilograms to pounds:

  Weight (lbs) = m * 2.20462 lbs/kg

Using these calculations, you can determine the weight of the concrete column in pounds based on the given values of height (h), diameter (d), density (rho), and assuming a weight of 359 lbs (w) is not necessary for this calculation.

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Answer:

a)  x = 12

b) right triangle

Step-by-step explanation:

a) 2x + 1 + 5x + 5 + 90 = 180

    7x + 96 = 180

    180 - 96 = 84

     84 / 7  = 12

          x = 12

b) you can tell that it is a right triangle because of the square in the corner that indicates it is a right triangle

Answer:

14.484

Step-by-step explanation:

13.60+6.5%=14.484

++++++++++++++++++++

Answer:

14.48

Step-by-step explanation:

The domain of the following function: R: [(3,5), (8,6), (2,1), (8,6) is D. [2,3,8]

A function in mathematics is a relationship between two sets of values known as the domain and the range that allots a different element of the range to each element of the domain. A function, then, is a rule that links each input value (also known as an independent variable) to a corresponding output value (also called dependent variable).

Typically, the x-variable represents the input values while the y-variable represents the output values. A function is represented by the notation f(x), where x is the input variable and f is the name of the function. The domain of a function is the set of all possible input values.

Thus,

x-coordinates are: 3, 8, and 2.

Therefore, the domain of the function is D. [2,3,8]

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The dependent variable in an experiment is the factor whose value is being measured or observed.

In an experiment, the dependent variable is the factor that is being observed or measured. It is the variable that responds to changes in the independent variable, which is the factor being manipulated or changed in the experiment. The dependent variable is often represented on the y-axis of a graph and is used to analyze and interpret the results of the experiment. For example, in an experiment testing the effect of fertilizer on plant growth, the dependent variable would be the plant growth, as it is being measured in response to the fertilizer treatment. The dependent variable is crucial in experimental design as it helps researchers determine the relationship between the independent variable and the observed outcome.

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Answer:

x = 2

Step-by-step explanation:

Given the expression 5x−4 = 3x +8, we are to solve for the value of x;

Step 1: Collect the like terms so that the variables are on one side and Constants on the other side

5x - 3x = 8-(-4)

5x - 3x = 8+4

Step 2: Evaluate the expression in both sides

5x-3x = 8+4

2x = 12

Step 3: Divide both sides by 2

2x = 12

2x/2 = 12/2

x = 6

Hence the value of x is 2

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Vector is the quantity that has magnitude as well as direction. The component form of the vector that translates P(-3,6) to P'(-4,8)  is -i + 2j.

A vector quantity has both magnitude and direction. It is added using parallelogram law of addition.

The sum of two vector quantities is always a vector quantity.

The sum of two vector quantities can vary from their scalar difference to their scalar addition.

The given points are P(-3,6) to P'(-4,8) .

The vector component form of two points (x₁,y₁) and (x₂,y₂) is given by ,

(x₂-x₁)i + (y₂-y₁)j

Therefore, The vector component form of given points are,

(-4-(-3))i + (8-6)j

-i + 2j.
Hence "The component form of the vector that translates P(-3,6) to P'(-4,8) -i + 2j.

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Answer:

1 calculator = $23.33

$23.33 × 6 calculators = $139.98 (Round to $140)

So the unit rate = $23.33