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Answer:

12:8

Step-by-step explanation:

3:2

12:x

12÷3=4

2×4=8

12:8

Answer:

-5x^2-20x

Step-by-step explanation:

The value if x in the inequality is x > -2 2/13

The relationship between two values that are not equal is defined by inequalities. Inequality means not equal.

greater than is represented by >

less than is represented by <

greater than or equal to is represented by ≥

less than or equal to is represented by ≤

-5/7(21x+35)<1/3(9-6x)

-15x -25 < 3-2x

collect like terms

-25-3 < 15x -2x

-28 < 13x

-28/13 < x

therefore x > -28/13

x> - 2 2/13

therefore the value of x in the inequality is x > -2 2/13

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Answer:

area = 16

Step by step

Answer:

n = -24/7

Step-by-step explanation:

3 -7n = 27

-7n = 24         Subtract 3 from both sides

n = -24/7        Divided by -7 both sides

So, the answer is n = -24/7

Answer:

Below

Step-by-step explanation:

Subtract 3 from both sides of the equation THEN divide both sides of the equation by  - 7

Answer: variable Y, coefficient 11, Constant 4.5

Step-by-step explanation:

variable: Y

coefficient: 11

Constant: 4.5

Answer: 1176 in^2

Step-by-step explanation:

the surface area of a cube is given by 6a^2 where a is the length of one edge side. Replace a for 14 as given in the question and we get 6 . 14^2 = 6 . 196 = 1176. the units are in inches squared also written as in^2

The probability is approximately 0.129

To calculate the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag, we need to use the binomial probability formula:

P(X >= 48) = 1 - P(X < 48)

Where

To calculate P(X < 48), we need to use the binomial probability formula:

P(X = x) = (nCx) * p^x * q^(n-x)

Where

nCx is the binomial coefficient, which can be calculated using the formula:

nCx = n! / (x! * (n-x)!)

where ! denotes the factorial function.

We can use a cumulative binomial distribution table or a binomial calculator to find the probability of getting less than 48 orange Stattles in a 14 ounce bag. For example, using an online calculator, we find that:

P(X < 48) = 0.871

Therefore, the probability that Cindy will get at least 48 orange Stattles in her next 14 ounce bag is:

P(X >= 48) = 1 - P(X < 48) = 1 - 0.871 = 0.129

So, the probability is approximately 0.129 or 12.9%.

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The symmetry of the functions are

In mathematics, the symmetry of a function refers to the property that the function remains unchanged under a certain transformation

Using the above as a guide, we have the following:

Graph 1

Under any transformation, the function would not remain the same when transformed

Graph 2

This function is a circle equation and it would remain the same when reflected or rotated across the axes and the origin

Graph 3

This function would only remain the same when reflected across the x-axis

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Answer:

- A state fair uses 32 pallets of lemons for lemonade

Step-by-step explanation:

Answer:

10000 meters

Step-by-step explanation:

1 kilometer=1000 meters

therefore 10 kilometers = 10×1000 = 10000meters

Answer:

120 because 20 x 6 = 120 when u take of sunday it will be 6 days

Step-by-step explanation:

Answer:

4/12 and 9/12

Step-by-step explanation:

The positive solution is t = 8.

A quadratic equation is a polynomial which has variables in which one has the highest power of 2.

Considering the question, let the unknown number be represented by t. So that;

16 is subtracted from the square of a number = t^2 - 16;

the result is 6 times the number = 6t

So that;

t^2 - 16 = 6t

t^2 - 6t - 16 = 0

t^2 + 2t - 8t - 16 = 0

(t^2 + 2t)(-8t - 16) = 0

t(t + 2)-8(t + 2)

So that

(t + 2)(t - 8) =0

t + 2 = 0 or t - 8 = 0

t = -2 or t = 8

Thus the positive solution is t = 8.

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48

The line of best fit has the following equation

y = 3.2x + 25

Since the x-values are 20 and 35, we must enter these values into the equation and subtract them to determine the difference in the y-values:

y(20) - y(35) = (3.220 + 25) - (3.235 + 25)

y(20) - y(35) = (64 + 25) - (112 + 25)

y(20) - y(35) = 89 - 137

y(20) - y(35) = -48

For x-values of 20 and 35, 48 is the most logical prediction for the difference in y-values.

Thus, Option (A) 48 is the correct answer.

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The only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

What is a valid triangle?

A valid triangle is a three-sided polygon that satisfies the following conditions:

The sum of the lengths of any two sides of the triangle is greater than the length of the third side.

The lengths of all three sides of the triangle are greater than zero.

Adam should use the dimensions 40 in., 44 in., 58 in. for a triangular frame to form a right triangle.

To determine if a right triangle can be formed, we need to check if the Pythagorean theorem is satisfied, which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the length of the longest side (the hypotenuse).

Let's check each set of dimensions:

For 25 in., 60 in., 65 in.:

25^2 + 60^2 = 625 + 3600 = 4225

65^2 = 4225

The Pythagorean theorem is satisfied, so a right triangle can be formed. However, this triangle is not a valid option for Adam because the lengths are too short for building walls.

For 40 in., 44 in., 58 in.:

40^2 + 44^2 = 1600 + 1936 = 3536

58^2 = 3364

The Pythagorean theorem is not satisfied, so a right triangle cannot be formed using these dimensions.

For 50 in., 110 in., 130 in.:

50^2 + 110^2 = 2500 + 12100 = 14600

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

For 130 in., 50 in., 60 in.:

50^2 + 60^2 = 2500 + 3600 = 6100

130^2 = 16900

The Pythagorean theorem is satisfied, so a right triangle can be formed.

Out of the options given, only the dimensions 50 in., 110 in., 130 in. and 130 in., 50 in., 60 in. satisfy the Pythagorean theorem, but both are too large for building walls.

Therefore, the only valid option for Adam is to use different dimensions that form a right triangle. The dimensions 40 in., 44 in., 58 in. are the closest valid set of dimensions.

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Answer:

[tex]416 \;in^2[/tex]

Step-by-step explanation:

The surface area of the rectangular prism

[tex]S = 2(lw + lh + wh)[/tex]

where

l = length = 12 in

w = width = 10 in

h = height = 4 in

Therefore

[tex]S = 2(12\cdot 10 \;+ \; 12\cdot 4 \;+\;10 \cdot 4)\\\\= 2(120 + 48 + 40)\\\\= 2 (208)\\\\= 416 \: in^2[/tex]

Answer:

Step-by-step explanation:

According to the given plan   for area codes, the first digit can be any number from 3 through 7, the second digit can be 6, 7, or 8, and the third digit can be any number except 6 or 7.

There are 5 possible choices for the first digit (3, 4, 5, 6, or 7), 3 possible choices for the second digit (6, 7, or 8), and 8 possible choices for the third digit (0, 1, 2, 4, 5, 8, 9). This is because there are 10 possible digits in total, but we cannot use 6 or 7 for the third digit.

Using the multiplication principle of counting, we can multiply these choices together to find the total number of possible area codes:

5 x 3 x 8 = 120

Therefore, there are 120 different area codes possible with this plan.

Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

The polygonal shape of a triangle has three edges and three angles. It is one of the most fundamental and significant geometric shapes and is utilised in a wide range of mathematical, scientific, and engineering fields. The edges and angles of a triangle can be used to classify it in various ways. Triangles can be categorised in one way by their sides: Three equal sides make up an equilateral triangle. Two of the edges of an isosceles triangle are equal. Three of the edges of a scalene triangle are unequal.

given

The property of angles in a triangle, which says that the sum of a triangle's interior angles is always 180 degrees, can be used to determine the value of x in the given figure.

Triangle ABC consists of:

∠A + ∠B + ∠C = 180

Since we know that A = 50 degrees and B = 90 degrees, we can use these numbers as a substitute:

50 + 90 + ∠C = 180

When we simplify the solution, we obtain:

140 + ∠C = 180

140 from both sides is subtracted, giving us:

∠C = 40

Since the sum of a triangle's internal angles is always 180 degrees, x has a value of 40 degrees.

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Answer:

No, rhombuses are not necessarily rectangles. While both shapes are quadrilaterals with opposite sides parallel, there is an additional requirement for a rectangle that is not present in a rhombus. Specifically, a rectangle must have all interior angles measuring 90 degrees, while a rhombus can have any angle between 0 and 180 degrees.

On the other hand, all rectangles are parallelograms, while not all parallelograms are rectangles. Similarly, all squares are both rhombuses and rectangles, but not all rhombuses or rectangles are squares. In summary, a rhombus is a quadrilateral with four equal sides, while a rectangle is a quadrilateral with four right angles. While there is some overlap between the definitions, they are not equivalent.

Answer:

Rhombuses are not rectangles

Step-by-step explanation:

This is because rhombuses do not have 4 right angles.

A square would be a rectangle because its a quadrilateral with 4 right angles

while a rectangle wouldn't be a square because it doesn't have 4 equal sides

A rhombus is a quadrilateral that has 4 equal sides but doesn't have 4 right angles, making it not a rectangle

it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.

what is an algebraic expression?

An algebraic expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be simplified and evaluated.

To determine the number of loads of trash from the garbage truck that will fill a 40-foot by 9-foot by 8-foot storage container, we need to compare the volume of the container to the volume of the garbage truck's back.

The volume of the garbage truck's back is:

V_garbage_truck = length x width x height

V_garbage_truck = 23 ft x 8 ft x 12 ft

V_garbage_truck = 2,208 cubic feet

The volume of the storage container is:

V_container = length x width x height

V_container = 40 ft x 9 ft x 8 ft

V_container = 2,880 cubic feet

To find out how many loads of trash from the garbage truck will fill the storage container, we need to divide the volume of the container by the volume of the garbage truck's back:

Number of loads = V_container / V_garbage_truck

Number of loads = 2,880 cubic feet / 2,208 cubic feet

Number of loads ≈ 1.30 loads

Therefore, it will take approximately 1.30 loads of trash from the garbage truck to fill the 40-foot by 9-foot by an 8-foot storage container. However, since you can't have a partial load, you would need to round up to 2 loads to completely fill the container.

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We can rewrite the sum of logarithms as:

log(8) + log(3) =  log(24)

Remember that if we have two logarithms of the same base, then we can write:

log(a) + log(b) = log(a*b)

Here the base of the logarithms is the same, then we can use that rule, we can rewrite the given sum as:

log(8) + log(3) = log(8*3) = log(24)

That is the expression rewritten as a single logarithm.

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Answer:

See below.

Step-by-step explanation:

We are asked to simplify the equation.

First, we should Combine Like Terms.

Combining Like Terms is adding terms that are alike.

For example, 4x and 11x are like terms since there's no differences than the coefficient, which can be different.

Let's combine like terms for this problem now.

Combine Like Terms:

[tex]\frac{2}{5} x+ 7 - \frac{2}{3} x -15\\\\\frac{2}{5} x - \frac{2}{3} x = \frac{6}{15} x - \frac{10}{15} x=-\frac{4}{15} x\\\\7 - 15 = -8[/tex]

We should have;

[tex]- \frac{4}{15} x - 8[/tex]

This will be our final answer.

The equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the algebraic expression as -

ab² - c³

For {a} = 2, {b} = -3, {c} = -1, we can evaluate the algebraic expression as -

ab² - c³

2(-3)² - (- 1)³

2 x 9 - (- 1)

18 + 1

19

Therefore, the equivalent expression value when {a} = 2, {b} = -3, {c} = -1 is 19.

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{Question in english -

Find the value of the expression if a =2, b= -3 and c=-1 ; ab2 -c3}

The number of touchdowns scored by this professional football team could be: C. 10.

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to determine the number of points scored by the defense of this professional football team, we would use the following mathematical expression:

Number of points = 24/100 × 242

Number of points = 0.24 × 242

Number of points = 58.08

For the number of touchdowns, we have:

Number of touchdowns = 58.08/6

Number of touchdowns = 9.68 touchdowns.

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Answer:

x = ± √((y + 2)/4)

Step-by-step explanation:

To find the inverse of a function, we need to solve for x in terms of y.

Steps to find the inverse of y = 4x^2 - 2:

Replace y with x and x with y:

x = 4y^2 - 2

Solve for y:

x + 2 = 4y^2

(x + 2)/4 = y^2

± √((x + 2)/4) = y

Note that we have a ± sign because the square root of a positive number can have two values, one positive and one negative.

Therefore, the inverse of y = 4x^2 - 2 is:

x = ± √((y + 2)/4)

Answer:

y=±([tex]\sqrt{x+2}/2[/tex])

Step-by-step explanation:

The measure of side AC of the right triangle is 7.2 units.

The figure in the image is the of a right triangle.

To solve for the measure of side AC, we use trigonometric ratio.

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Tangent = Opposite / Adjacent

tan( A ) = BC / AC

Plug in the values and solve for side AC.

tan( 51° ) = 8.9 / AC

AC = 8.9 / tan( 51° )

AC = 8.9 / 1.234897

AC = 7.2

Therefore, side AC has a value of 7.2 units.

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Answer:

look in the comments give me a minute please and thank you

Answer:

7withax2

Step-by-step explanation: