Which of the following does not belong to the solution set of -3x + 7 < 11? 4 -1 -5 0

Answer with explanation:

The value of square -9 is not -3 ([tex] \sqrt { - 9 } \neq - 3 [/tex]).

It is because we cannot take a square root of a negative number since any number multiplied by itself is a positive number so you never get a negative value.

Therefore, it given an error if you try to take a square root of a negative number on a calculator.

Answer:

The value of √-9 is not -3 because we cannot take the square root of negative numbers

Step-by-step explanation:

It is not possible to take square root of a negative number.

If any positive number we can take its square roots.

-9 is a negative number.

√9 = ±3 means that,

√9 = 3 or √9 = -3

3 * 3 = 9 and -3 * -3 = 9

Therefore the value of √-9 is not -3

Step-by-step explanation:

Since -4 is indeed equal to -4, we can say that D, there are many solutions since all real numbers are a solution because any number is equal to itself :)

The equation 5(x-2)+6 = 2x-4+3x has infinitely many solutions.

To solve the equation 5(x-2)+6 = 2x-4+3x, we start by distributing the 5 to the terms inside the parentheses: 5x - 10 + 6 = 2x - 4 + 3x. Next, we combine like terms on both sides of the equation: 5x - 4 = 5x - 4. This simplifies to 0 = 0, which means that both sides of the equation are equal.

Since the equation is true no matter what value of x we choose, this means that the equation has infinitely many solutions.

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Answer:

260%

Step-by-step explanation:

To solve how much the percentage increase cost of Jo's car insurance is, we first need to list down our variables.

1st year = £245

2nd year = £883

First off, we need to find the difference of the two.

Increase = £883 - £245

Increase = £638

Now to find the percentage increase, we take our increase and divide it by our 1st year's payment and multiply it by 100.

Percentage increase = [tex]\dfrac{638}{245}*100[/tex]

Percentage increase = [tex]2.60*100[/tex]

Percentage increase = 260%

So the percentage increase of last years payment to this years payment is 260%.

Answer:

Solve y=x^2+2 for x.A.B.C.D

Step-by-step explanation:

sorry lamo

Answer:

Final simplified form is [tex]5\sqrt{5}i[/tex]

Step-by-step explanation:

We have been given an expression [tex]\sqrt{-125}[/tex]

Now we need to simplify [tex]\sqrt{-125}[/tex] and check which choice matches with simplified form of [tex]\sqrt{-125}[/tex].

You missed to provide the choices but still we simplify that.

[tex]\sqrt{-125}[/tex]

[tex]=\sqrt{-5*5*5}[/tex]

[tex]=5\sqrt{-5}[/tex]

When there is negative sign inside square root then we replace that by "i" iota.

[tex]=5\sqrt{5}i[/tex]

Hence final simplified form is [tex]5\sqrt{5}i[/tex]

The number 3.14 is a rational number and since all rational numbers are real numbers, it is a real number too.

The set of numbers that 3.14 belongs to is a rational number and a real number.

A rational number simply means a number that has a whole number and a quotient. In this case, such a number has a whole number and decimal fractions.

Therefore, since the number given is 3.14, this implies that the number is a rational number. Also, it should be noted that a rational number is also a real number.

Therefore, 3.14 is a rational number and a real number

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The answer is C because the 2x outside of the brackers must be negative to produce the beginning term. The next terms are positive and two negatives make a positive, therefore we can conclude that there must be a negative inside the brackets too.

Answer: C. −2x(x−3)(x+2)

Step-by-step explanation:

1. Find the Greatest Common Factor (GCF).

GCF=2x

2. Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2x(2x^3/2x+−2x^2/2x+−12x/2x)

3. Simplify each term in parentheses.

−2x(x^2−x−6)

4. Factor x^2−x−6

−2x(x−3)(x+2)

Answer:

[tex]y=233\frac{1}{3}[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In this problem we have

For [tex]x=1/4, y=25[/tex]

Find the value of k (constant of proportionality)

[tex]y/x=k[/tex] -----> [tex]k=25/(1/4)=100[/tex]

The linear equation is

[tex]y=100x[/tex]

Find the value of y when the value of [tex]x=2\frac{1}{3}[/tex]

substitute the value of x in the equation but first convert to an improper fraction

[tex]x=2\frac{1}{3}=\frac{2*3+1}{3}=\frac{7}{3}[/tex]

[tex]y=100(\frac{7}{3})=\frac{700}{3}[/tex]

convert the result in mixed number

[tex]\frac{700}{3}=\frac{699}{3}+\frac{1}{3}=233\frac{1}{3}[/tex]

Lisa has a total of 8 dresses in her closet. There are 2 red dresses, 3 green dresses, and the remaining 3 are blue dresses.

The subject of the question is probability in Mathematics. In the problem, Lisa has a total of 2 red dresses and 3 green dresses. The quantity of blue dresses is represented by 'x'. It is stated that the probability of choosing a red dress is 25%. Each dress in her closet is an outcome for this probability calculation.

So, in total, she has 2(red dresses) + 3(green dresses) + x(blue dresses) = 100% of the dresses or total outcomes. Since the probability of picking a red dress is 25%, then 2 (red dresses) are 25% of the total outcomes.

To work out the total number of outcomes (total dresses), we calculate 100% ÷ 25% = 4, and then multiply this by the number of red dresses (which is 2), giving us 4*2 = 8 dresses in total.

As we know there are 2 red dresses and 3 green dresses, that leaves 8 (total dresses) - 2 (red) -3 (green) = 3 blue dresses. Thus, Lisa has three blue dresses in her closet.

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Lisa has 6 blue dresses.

To find the number of blue dresses Lisa has, we need to set up an equation using the given information.

Lisa has 2 red dresses, 3 green dresses, and x blue dresses. The total number of dresses is 2 + 3 + x = 5 + x.

The probability of choosing a red dress is 25%, which can be written as 0.25.

This means that the number of red dresses divided by the total number of dresses equals 0.25. So, we have 2 / (5 + x) = 0.25.

Solving this equation for x, we find that Lisa has 6 blue dresses.

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Answer:

The y axis

Step-by-step explanation:

Perpendicular means for a line to create a 90 degree angle, like it does on the y axis.

Hope this helps!

0.50 m *100 Hz

= 50m/s I really hope this helps!

Answer:

Step-by-step explanation:

The length has been reduced to 6 inches from 18 inches.

That means the length has been reduced to 6/18 = 1/3 of its original size.

So the width must be reduced to 1/3 * 10 which is roughly 3.333 inches.

It doesn't look like any of them are right. i don't know how to make it right from the answers given.

Answer: 4

Step-by-step explanation: Austin reads 8 he reads 4 more. 4+4=8

The answer is:

[tex]cos(R)=\frac{1}{2}[/tex]

Since it's a right triangle and we need to know the adjacent side of the triangle, in order to find cos(R), we can use the Pythagorean Theorem.

Pythagorean Theorem formula:

[tex]c^{2}=a^{2} +b^{2}[/tex]

Where:

[tex]c=hypotenuse=20\\a=FirstTriangleSide=AdjacentSide\\b=SecondTriangleSide=OppositeSide=10\sqrt{3}[/tex]

So, the adjacent side will be:

[tex]AdjacentSide=\sqrt{c^{2}-b^{2}}=\sqrt{20^{2}-(10\sqrt{3})^{2}}=\sqrt{400-100*3} \\AdjacentSide=\sqrt{100}=10[/tex]

Now, that we know the adjacent side, we can calculate cos(R), so:

[tex]cos(R)=\frac{AdjacentSide}{Hypotenuse}=\frac{10}{20}=\frac{1}{2}[/tex]

Have a nice day!

Answer:

cosine∠R = 1/2

Step-by-step explanation:

We have to find the figure of triangle.

We have to find the cosine∠R.

First we find the base of triangle.

We have formula: Hypotenuse² = Base² + perpendicular²

Hypotenuse = 20

Base= ?

perpendicular = 10√3

Applying formula we get,

Base = √20² - (10√3)²

base = 10

As we know that :

cosФ = base/hypotenuse

cosine∠R = 10/20

cosine∠R = 1/2 is the result.

The solution is you need to subtract the y axis and x axis

Answer:

[tex]ln(27c^3)[/tex]

Step-by-step explanation:

Given: [tex]3ln(3)+3ln(c)[/tex]

If there is a coefficient in front of a [tex]log[/tex] or [tex]ln[/tex], that means it becomes an exponent.

[tex]ln(3^3)+ln(c^3)[/tex]

Simplify the exponent.

[tex]ln(27)+ln(c^3)[/tex]

When there is addition between two logarithms or natural logarithms, it means they multiply together.

[tex]ln(27c^3)[/tex]

Answer:

[tex] \ln 27c^3 [/tex]

Step-by-step explanation:

[tex] = 3\ln 3 + 3\ln c [/tex]

[tex] = \ln 3^3 + \ln c^3 [/tex]

[tex] = \ln 3^3c^3 [/tex]

[tex] = \ln 27c^3 [/tex]

Answer:

1) 8    2) 125   3) 1,680   4) 5,040   5) 3,024

Step-by-step explanation:

Answer:

FRee points man idc about the question

Answer:

(0, 1/3)

Step-by-step explanation:

You find the y-intercept when the x value is 0, so plug in 0 for x and simplify

f(x) = -(2/9)(0) + 1/3

f(x) = 1/3

The y-intercept is at the point (0, 1/3)

Answer:

Gross income of Jonas from the two jobs is $ 26,503.84

Step-by-step explanation:

W-2 form is used in USA by to employees to show the money earned by them.

The gross income of Jonas will be the sum of two values.

Gross income= $19,328.98  + $7174.86

                      = $ 26,503.84

Answer:

$26,503.84

Step-by-step explanation:

What do you mean? I dont understand.

Answer:

52.8cm

Step-by-step explanation:

Add the area of all the faces together and you get 52.8

Step-by-step explanation:

1) 45 times 0.8 (which is equivalent to 80 percent) is 36 students.

2) 15 divided by 0.2 is 75, so she earned 75 dollars

The answer is C as the net of a cube.

We will select which of four options are the net of a cube.

Remember the net of a cube is composed of six squares.

The answer to this problem is C. Because of the four options, only C has six squares as a condition of a net of cubes.

Following comprises the steps to construct a cube from the net of C:

- - - - - - - - - -

Notes:

Out of the given nets, option C is the net of a cube.

A net of a cube is a two-dimensional shape that can be folded into a three-dimensional figure.

We know that the total number of faces in a cube is 6

So total faces required to make a net of the cube = 6

Options A, B, and D are having 5 faces so they cannot make a net.

So the correct option is option C and we can fold the net to make a cube.

Hence, Out of the given options, option C is the net of a cube.

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Answer:

60 cubic feet.

Step-by-step explanation:

The fish are 0.5 per cubic foot. This means 1 fish occupies 2 cubic feet. So if there are 30 fishes then there must be 60 cubic feet.

Answer:Instead of dividing the diameter by two to get the radius, the coworker multiplied the diameter by two, getting a value of 340 feet for the radius. Here’s the incorrect calculation:

volume of a cylinder ≈ 3.14 × (radius)2 × height

= 3.14 × (340 ft)2 × (60 ft)

= 3.14 × (115,600 ft2) × (60 ft)

= 21,779,040 ft3

Step-by-step explanation:

Answer:

71°

Step-by-step explanation:

The average temperature is calculated as

Average = [tex]\frac{sum}{count}[/tex]

let x be the temperature in October, then

[tex]\frac{25+70+65+85+92+82+x}{7}[/tex] = 70, that is

[tex]\frac{419+x}{7}[/tex] = 70 ( cross- multiply )

419 + x = 490 ( subtract 419 from both sides )

x = 71

Average temperature in October was 71°

Answer:

The answer is the first choice "A"

Step-by-step explanation:

I have done this test

The comparison which is true is Amsterdam is the same distance from sea level as Drachten.

So, we can see the Amsterdam is at same distance from sea level as Drachten. The negative sign indicates that Amsterdam is 2 m below the sea level.

So, option A is correct.

So, option B is incorrect.

So option C is incorrect.

So option D is incorrect.

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Answer:

58°

Step-by-step explanation:

If m AM=125°, then m∠AOM=125°.

If m∠MAF=75°, then m∠MOF=150° (because central angle MOF subtends on the same arc as inscribed angle MAF).

Thus,

m∠FOA=360°-150°-125°=85°.

If mEF=31°, then m∠EOF=31° (as central angle subtended on the arc EF).

Hence,

m∠EOA=m∠EOF+m∠FOA=31°+85°=116°.

Angle EOA is central angle subtended on arc EA, angle AME is inscribed angle subtended on arc AE, thus

m∠AME=1/2m∠EOA=58°.

Answer:  c) imaginary

Step-by-step explanation:

(√5) is irrational but (√-1 )is not a valid number, therefore, (√-5) is imaginary.

Answer:

34.66 yr

Step-by-step explanation:

The formula for interest compounded continuously is

[tex]A = Pe^{rt}[/tex]

Data:

P = $1400

r = 2 % = 0.02

Calculations:

(a) Calculate A

A = 2 × 1400 = $2800

(b) Calculate t

 [tex]2800 = 1400e^{0.02t}[/tex]

        [tex]2 = e^{0.02t}[/tex]     Divided each side by 1400

 ln2 =  0.02t               Took the ln of each side

     t = ln2/0.02          Divided each side by 0.02

     t = 34.66 yr

It will take 34.66 yr for the investment to double at 2 % interest compounded continuously.

Check:

2800 = 1400e^{0.02×34.66}

2800 = 1400e^{0.6931}

2800 = 1400 × 2

2800 = 2800

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

[tex]14r+7g=70\\5r+14g=71[/tex]

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

[tex](*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3[/tex]

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

[tex]14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4[/tex]

Thus, 1 bunch of ornamental grass is $4.