If 2x – 3 + 3x = – 28, what is the value of x? 4 -1 -5 5

Answer:

Explanation and steps:

\( \frac{28.8}{4} = \frac{288}{40} = 288 \div 40 = 7.2\)

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Answer:

the product of the decimal equivalents of all discount in the series

0.5236 meters is the length of the given arc.

The formula for the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where:

In this case, the central angle is 60 degrees and the radius is 1/2 meters.

Plugging the values into the formula, we have:

Arc Length = (60/360) * 2π(1/2)

Arc Length = (1/6) * π

Arc Length = π/6

Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.

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Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

D

Step-by-step explanation:

I think it's same with what ur thinking

The equation is (6 - x)² + 2 = -10.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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Answer:

sin ß = opposite / hypotenuse

sin45° = x / 4√2

Cross multiply

x = sin 45° × 4√2

x = √2/2 × 4√2

x = 4 × √2 ×√2 / 2

x = 4 × 2 / 2

x = 8 / 2

x = 4

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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Answer:

The answer is A. I hope this helped

In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).

A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).

In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

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Answer:

3 yards

Step-by-step explanation:

Divide inches by 36

\(108/36\\=3yards\)

Answer:

\(3 \: \: yards\)

Step-by-step explanation:

\(1 \: \: yard = 36\: \: inches \\ yard \: \: x = 108 \: \: inches\)

So,

\( 1 = 36 \\ x = 108 \\ \\ cross \: \: \: multiple \\ \\ 108 = 36x \\ \frac{108}{36} = \frac{36x}{36} \\ x = 3 \: \: yards\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Using concepts of the normal and of the uniform distribution, it is found that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

In an uniform distribution, all outcomes are equally as likely, thus they have the same height.

In the normal distribution,

The outcomes with the highest likelihood are those closest to the mean, thus they have the highest height.

This means that the mean of this distribution is 8.

The standard deviation cannot be a negative value,

So in this problem, it is 1.2,

Which means that the correct option is:

The distribution is approximately Normal, with a mean of 8 ounces and a standard deviation of 1.2 ounces.

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Answer:

18.

Step-by-step explanation:

4+5 is 9, and 9 times 2 is 18

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

108x - 69

Step-by-step explanation:

Notice that we can make an intermediate step between both graphs by moving the green graph three units to the left:

Notice that the horizontal lengths of the red graph and the blue graph are the same, but all the vertical lengths seem to have been multiplied by 2.

Since the blue graph (black, in the text) is called f and the transformation that takes the graph of f to the red graph is "multiplying by 2", then, the red graph is given by the expression:

Since the green graph is a three-units shift to the right of the red graph, then it is given by the expression:

Since the function whose graph is the green graph is called g, then:

Therefore:

1) The sequence of transformation that takes f to g is:

1.- A stretching in the y-direction by a factor of 2.

2.- A 3-units shift to the right.

2) In function notation, g is given in terms of f by: g(x) = 2f(x-3).

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

Answer:

Shelly used 16 gigabytes of storage.

Step-by-step explanation:

To find the total storage, we need to divide the amount of used storage by the percentage used.

First, we need to convert the percentage to a decimal by dividing by 100: 93% = 0.93

Then, we divide the used storage by the decimal conversion of the percentage: 15 gigabytes / 0.93 = 16.1290322581 gigabytes

So, the total storage is approximately 16.13 gigabytes.

The required solutions of the functions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
1 .
for x = -7
f(x) = x² + 2x
f(-7) = (-7)² + 2(-7) = 35

2.
for x = -1
f(x) = x² + 2x
f(−1) = (-1)² + 2(-1) = -1

3.
For x = 0
f(x) = x + 1

f(0) = 0 + 1 =  1

Thus, the required solutions are given as follows,

1. f(−7) = 35

2. f(−1) =  -1

3. f(0) =  1

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To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Take two points on the line (0,-1) and (3,-6).

Express the slope intersept form of a line.

Put these points in the line implies,

Answer:

$80

Step-by-step explanation:

Hello!

You simply multiply the number of hours by the amount of money earned per hour. So you multiply 2.5 by 32.

The worker would have earned $80.

Complete question is;

A 10 cm thick grindstone is initially 200 cm in diameter, and it is wearing away at a rate of 50 cm/hr. At what rate is its diameter decreasing?

Answer:

Diameter is decreasing at the rate of 5/(2πr) cm/hr

Step-by-step explanation:

We are told the stone is wearing away at a rate of 50 cm/hr. This means the volume is decreasing. Thus;

dV/dt = -50 cm/hr

Now, a grindstone is in the shape of a cylinder. Thus, volume of grindstone is;

V = πr²h

dV/dr = 2πrh

Now,to find the rate at which the diameter is decreasing, we'll write;

dr/dt = (dV/dt)/(dV/dr)

dr/dt = -50/(2πrh)

We are given;

Diameter = 200 cm

Radius; r = 200/2 = 100 cm

Thickness; h = 10 cm

Thus;

dr/dt = -50/(2π × r × 10)

dr/dt = -5/(2πr) cm/hr

The rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\) and this can be determined by using the given data.

Given :

A 10 cm thick grindstone is initially 200 cm in diameter and it is wearing away at a rate of 50 \(\rm cm^3/hr\).

The following steps can be used in order to determine the rate at which grindstone diameter decreases:

Step 1 - According to the given data, the rate at which grindstone volume decreases is:

\(\dfrac{dV}{dt} = 50\;{\rm cm^3/hr}\)        --- (1)

Step 2 -  The formula of the volume of the cylinder (grindstone) is given below:

\(V = \pi r^2 h\)

Step 3 - Differentiate the above expression with respect to 'r'.

\(\dfrac{dV}{dr} = 2\pi r h\)          --- (2)

Step 4 - So, using the expression (1) and (2) the rate at which grindstone diameter decreases is:

\(\dfrac{dr}{dt}=\dfrac{\frac{dV}{dt}}{\frac{dV}{dr}}\)

\(\dfrac{dr}{dt}=\dfrac{-50}{2\pi r \times 10}\\\)

\(\dfrac{dr}{dt} = -\dfrac{5}{2\pi r }\; {\rm cm/hr}\)

So, the rate at which grindstone diameter decreases is \(-5/2\pi r \;{\rm cm/hr}\).

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Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1

                              x=6

                              x=0

I hope this helps if not I’m rlly sorry.

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Step-by-step explanation:

the ladle should scoop out 56 scoops to empty the bucket because if one scoop equals 1/14, there are 14 scoops per liter, and 4 liters, so 4 times 14 equals 56

The ladle should scoop out 56 scoops to empty the bucket

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given,

A bucket holds 4 liters of water.

If a ladle can scoop out 14 of a liter We need to find how many scoops will it take to empty the bucket

We know that one scoop equals 1/14 liters

1 scoop=1/14 litres

1 litre=14 scoops

As there are 4 litres

We have to multiply 14 with four to find the number of scoops to take to make the bucket empty.

14×4

56

Hence, the ladle should scoop out 56 scoops to empty the bucket

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Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum