what is the inequality -24<3(3x-2)<30

Answer:

32x + 30

Step-by-step explanation:

32+4X(16 x 1/2)-2

32 + 4X x 8 -2 ( 16 times 1/2 = 8)

32 + 32x -2      ( 4 times 8 = 32)

32x + 30           ( 32 + -2 = 30)

20+(5 * 2/5)+3

20 + 2 + 3

22 + 3

25

Therefore, the equation for which g = 5 is not the solution is 4g = 20.

An equation is a mathematical statement that shows the equality between two expressions or values. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, and logarithms. Equations can be used to solve problems or to describe relationships between quantities. They are commonly written in the form of "expression 1 = expression 2" or "expression 1 - expression 2 = 0", where the goal is to find the value(s) of the variable(s) that make the equation true.

To check for which equation g = 5 is not the solution, we can substitute g = 5 into each equation and see which ones result in a false statement.

\(8g = 40\)

Substituting g = 5 gives: 8(5) = 40, which is true. Therefore, g = 5 is a solution to this equation.

4g = 20

Substituting g = 5 gives: 4(5) = 20, which is false. Therefore, g = 5 is not a solution to this equation.

g - 2 = 3

Substituting g = 5 gives: 5 - 2 = 3, which is true. Therefore, g = 5 is not a solution to this equation.

2g = 25

Substituting g = 5 gives: 2(5) = 25, which is false. Therefore, g = 5 is not a solution to this equation.

Therefore, the equation for which g = 5 is not the solution is 4g = 20.

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Answer:

del

Step-by-step explanation:

d

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

Answer:

smaller/ less than

Answer:

less than

Step-by-step explanation:

On a number line, the values go from least to greatest, left to right. So if you go towards the left, the number is decreasing.

If firm issues​ commercial paper with $1000000 face-value and pays EAR of​ 7.4%, then amount the firm will receive is $981500.

To calculate the amount the firm receives from issuing the three-month commercial paper, we need to determine the total interest earned over the three-month period.

The Effective Annual Rate (EAR) of 7.4% indicates the annualized interest rate. Since the commercial paper has 3-month term, we adjust the EAR to account for the shorter period.

To find the quarterly interest rate, we divide the EAR by the number of compounding periods in a year. In this case, since it is a 3-month period, there are 4-compounding periods in a year (quarterly compounding).

Quarterly interest rate = (EAR)/(number of compounding periods)

= 7.4%/4

= 1.85%,

Now, we calculate interest earned on "face-value" of $1,000,000 over 3-months,

Interest earned = (face value) × (quarterly interest rate)

= $1,000,000 × 1.85% = $18,500,

So, amount firm receives from issuing 3-month commercial paper is the face value minus the interest earned:

Amount received = (face value) - (interest earned)

= $1,000,000 - $18,500

= $981,500.

Therefore, the amount that firms receives is $981500.

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Answer: 41/12 OR 3 5/12

First you find the least common multiples of 3 and 4 (denominators) which is 12, then multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM

You should end up with 20/12 +21/12

Then add them both which will be 41/12

For this to be a mixed number, see how many times 12 can go into 41, it’ll be 3 with 5 left over, making it 3 5/12

I hope this helps and makes sense :)

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

Answer:

2x^2+2y+xy

Explanation:

x^2+x^2=2x^2

y+y=2y

Answer:

Positive interval: x is in (-5, infty)

Negative interval: x is in (-infty, -5)

Step-by-step explanation:

A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.

Positive interval: x is in (-5, infty)

A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.

Negative interval: x is in (-infty, -5)

A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.

Answer:

10000

Step-by-step explanation:

there is a simple formula to remember.

the sum of n odd number = n^2

so for the sum of 100 positive odd numbers = (100)^2=10000

Answer:y=10-x

Step-by-step explanation: 10 is the y-intercept and -x is the slope

Answer:

y = 10 – x

Step-by-step explanation:

did it on edgen

Answer:

give the pic..................

She takes him to drive 300 miles in 5 hours.

In the given statement is:

Evan traveled 180 miles in 3 hours. If he continued to drive at the same rate

To find the how long did it take him to drive 300 miles?

What is the formula for distance?

The formula for distance can be given in terms of speed and time. Speed is the rate at which the object moves. The formula for speed is the distance travelled divided by time.

Distance = speed x time

According to the question:

We know that

v = 3

d = 300

Substitute the values into formula

d = v x t

300 = 3t

= (300 x 3) /180

Simplify it

= (5 x3) / 3

= 5 hours

Hence, She takes him to drive 300 miles in 5 hours.

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In this question, we are supposed to use a given transformation to evaluate the integral of 4x² da, where R is the region bounded by the ellipse 25x² + 9y² = 225, with x = 3u and y = 5v, Let us begin by finding the determinant of the Jacobian matrix J.

The Jacobian matrix for the given transformation isJ(u,v) =  |3 0||0 5| = 15∴ |J(u,v)| = 15The integral of the function over the region R is given by∬R 4x² dadxdy Now, making the transformation u = x/3 and v = y/5, we have x = 3u and y = 5v.By substituting these values in the equation of the ellipse, we get,25x² + 9y² = 22525(3u)² + 9(5v)² = 225225u² + 45v² = 25u² + 9v² = 1Now, the integral becomes,∬R 4x² dadxdy = ∬R 4(3u)² (15) dadudv= 540∬R u² dadudvWe can transform the double integral over R from the uv-plane to the xy-plane as follows:

∬R u² dadudv = ∬R u² |J(u,v)| dadxdy

Thus, we have,

∬R 4x² dadxdy = 540

∬R u² dadudv = 540∬R u² |J(u,v)|

dadxdy= 540∬R (x/3)² (y/5) 15 dxdy

Since we know the equation of the ellipse to be 25x² + 9y² = 225, we can express the limits of integration in terms of u and v as follows:

∫(5/3)√(1 - (v/3)²) to -∫(5/3)√(1 - (v/3)²)∫-3√(1 - (v/5)²) to 3√(1 - (v/5)²)

On making the substitution, we get

∬R 4x²

dadxdy= 540 ∫(-5/3) to (5/3) ∫-3√(1 - (v/5)²) to 3√(1 - (v/5)²) [(3u)² .

(5v) 15] dudv= 1350 ∫-5/3 to 5/3 ∫-3√(1 - (v/5)²) to 3√(1 - (v/5)²) u²v

du dv= 1350 ∫-5/3 to 5/3 v ∫-3√(1 - (v/5)²) to 3√(1 - (v/5)²) u²

du dv= 1350 ∫-5/3 to 5/3 v [(u³/3)] -3√(1 - (v/5)²) 3√(1 - (v/5)²)

dv= 1350 ∫-5/3 to 5/3 v [u³/3] from -3√(1 - (v/5)²) to 3√(1 - (v/5)²)

dv= 1350 ∫-5/3 to 5/3 [(3√(1 - (v/5)²)³/3) - (-3√(1 - (v/5)²)³/3)]

dv= 1350 ∫-5/3 to 5/3 36v√(1 - (v/5)²) dv= 1350 [ 5²/4 ] π= 16875/4 π

Hence, the value of the integral ∬R 4x² dadxdy is 16875/4 π.

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Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer:

$120

Step-by-step explanation:

1st you multiply 4 and 18 bc it is 18 for each of the 4 which is $72. Than you add 26 and 22 which is 48. Add 48 to 72 and your total would be $120.

Answer:

your answer is 120

Step-by-step explanation:

first multiply 18 by 4 then add it by 26 and 22.

$253584

Explanation

to solve this we need to use multiplication, so

total money= 36 times 7044, or 7044 times 36

then, replace

hence, the answer is

$253584

I hope this helps you

Suppose that a certain population obeys the logistic equation dy/dx= ry[1-(y/k)]

a) So if y0= K/3, then

dy/dx=  ry[1-(y/k)]

The above statement is equation 1.

Equation 2 is in the form of

dy/dx + P(t)y = yⁿQ(t)

which is a Bernoulli's differential equation with n=2. So 1- 2= -1

To solve it we put

Then dz/dx= -y⁻²(dy/dx)

This above statement is equation 3.

P(t)= -r, Q(t)= -(r/K)

and integrating factor is given by

IF= e ∫(1-n)P(t)dt= e ∫(-1)(-r)dt= ert

Then the solution is given by

z(IF)= ∫(1-n)Q(t)(IF)dt+C

If given y0= K/3, then

3/K= 1/K+C

Thus the solution to this part is

y⁻1ert= ert/K+2/K= 1/K(2+ert)

To find the time at which the initial population doubled that is 2K/3

Thus

2K/3= Kert/(2+ert)

For r=0.025, then r= 55.452

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Answer:

6 + 12/13, or 90/13 people will be served

Step-by-step explanation:

Ratios stay the same, no matter the quantity.

Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)

13/3 = 30 / x

multiply both sides by 3 to remove a denominator

13 = 30 * 3 /x

multiply both sides by x to remove the other denonimator

13 * x = 30 * 3

13 * x = 90

divide both sides by 13 to isolate the x

x = 90/13 = 6 + 12/13 ≈6.92 people

Answer:

This is your answer ☺️☺️☺️

This data will be considered as Qualitative sample.

Qualitative data is the data that is not represented by numbers, On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous.

Qualitative sample

In qualitative research, only a sample  of a population is selected for any given study. The study's research objectives and the characteristics of the study population determine which and how many people to select.

Quantitative sample

The quantitative research sampling method is the process of selecting representable units from a large population. Quantitative research refers to the analysis wherein mathematical, statistical, or computational method is used for studying the measurable or quantifiable dataset.

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The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

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Answer:

The slope is 4

Step-by-step explanation:

basilly you add easy x(-1,-7) + y(3,9) = 2/2

make sure that you add x left and y right  first -1+3=2 and then -7+9=2 equal=2,2 together and just add both equal 4

Most easy just put you answer in a graht and count the squares

hope this helps ;)

It would cost €27 to buy a sheet of area 4 meters by 75 centimeters.

We solve this problem easily by employing the unitary method. To answer this question, we need to first calculate the area of the metal sheet being sold and the area of the metal sheet being purchased.

The area of the metal sheet being sold is:

5 meters × 2 meters = 10 square meters

The area of the metal sheet being purchased is:

4 meters × 0.75 meters = 3 square meters

Now we can calculate the price per square meter of the metal sheet being sold:

€90 ÷ 10 square meters = €9 per square meter

Finally, we can calculate the cost of the metal sheet being purchased:

3 square meters × €9 per square meter = €27. Therefore, the cost to buy a sheet of area 4 meters by 75 centimeters which costs €90 to a metal of area 5 meters by 2 meters would be €27.

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Answer:

B, 5x - 3 = 12

Step-by-step explanation:

3 less means subtracting, it's going to be -3.

It says 3 less than five times a number, meaning we don't know the number, so we can put it as x.

3 less means your subtracting from something, which would make it 5x - 3.

Finally, they state that it equals 12, making the equation 5x - 3 = 12.

The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.

The utilization of two or more additional numbers that compares is known as the ratio.

The weight of the semi-truck trailer tire is 102 pounds.

The weight of the mobile home is 104 pounds.

The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.

Ratio = 102 / 104

Ratio = 51 / 52

Ratio = 51: 52

The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.

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Step-by-step explanation:

< PQS is exterior angle of the triangle

So,

2X = X + 58

X=58

m < P = 58

m <P QR = 180 - ( 58 + 58 ) =, 64

m < P QS = 116