Determinati cântul numărul natural X care verifică egalitatea 3x +7 =28

Step-by-step explanation:

Out of the given options, only √196 is a rational number.

A rational number is a number that can be expressed as the ratio of two integers. In other words, it can be written in the form of p/q where p and q are integers and q is not equal to zero.

√56 cannot be simplified further and has no integer factors that can be canceled out to express it as a ratio of two integers. Therefore, it is an irrational number.

Similarly, √63 and √240 cannot be simplified further and do not have any integer factors that can be canceled out to express them as a ratio of two integers. Therefore, they are also irrational numbers.

On the other hand, √196 simplifies to 14 which is a ratio of two integers (14/1). Hence, it is a rational number.

In summary, only √196 is a rational number out of the given options.

Answer:

-8y +8v +24

Step-by-step explanation:

-8(y-v-3)

Multiply each term inside the parentheses by -8

-8y -v*-8 -3*-8

-8y +8v +24

___________________________________

Hey!!!

solution,

-8(y-v-3)

= -8y+8v+24

_________________________________

Here,

You have to remember these things:

Hope it helps.

Good luck on your assignment

Answer:

1 9/11

Step-by-step explanation:

1.81 repeating is the equivalent to 1 9/11

Answer:8

Step-by-step explanation:8x1=8

The correct answer is B (square).

The cross section that results from slicing a cube through the center vertically, perpendicular to the base, would be a square.

Therefore, option B (square) is correct.

A rectangle is not a possible shape for the cross section because slicing through the center vertically would result in equal lengths for all sides, creating a square rather than a rectangle.

Therefore, option A (rectangle) is not applicable.

Option C (trapezoid) is not applicable because a trapezoid is a quadrilateral with only one pair of parallel sides, and slicing through the center of a cube vertically would result in a shape with four equal sides, making it a square, not a trapezoid.

Option D (triangle) is not applicable because a triangle has three sides, while slicing through the center of a cube vertically would create a shape with four sides, again resulting in a square, not a triangle.

In conclusion, the correct answer is B (square).

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Answer:

0 muffins and 8 cookies

6 muffins and 4 cookies

Explain:

These are the only two combinations of muffins and cookies that Jordan could have sold to earn $24. If Jordan sold 0 muffins and 8 cookies, they would have earned $24 because 0 x $3 + 8 x $2 = $24. If Jordan sold 6 muffins and 4 cookies, they would have earned $24 because 6 x $3 + 4 x $2 = $24.

Answer:

5.503484≤x≤9.116516

Step-by-step explanation:

The formula for calculating the CI is expressed as;

CI = x±z*s/√n

x is the mean= 7.31

z is the 99% z-score = 2.58

s is the standard deviation = 6.26

n is the sample size = 80

Substitute into the formula

CI = 7.31± 2.58*6.26/√80

CI = 7.31± 2.58*6.26/8.94

CI = 7.31± (2.58*0.7002)

CI = 7.31±1.806516

CI = (7.31-1.806516, 7.31+1.806516)

CI = (5.503484, 9.116516)

Hence the 99% confidence interval for the population mean is

5.503484≤x≤9.116516

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

Step-by-step explanation:

Given that :

_______low tech _____consumer products

n _______14 ___________ 12

Mean ___ 157 __________218

Variance _ 1563 ________1602

The point estimate of the difference between the means of the two populations :

Difference between the sample mean of low tech and consumer product

Sample mean (low tech) - sample mean (consumer product)

157 - 218

= - 61

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

If an auto body shop repaired 22 cars and trucks and there were 8 fewer cars than trucks, 15 trucks were repaired.

Let's assume the number of trucks repaired is "x". We know that the total number of cars and trucks repaired is 22. Since there were 8 fewer cars than trucks, the number of cars repaired must be x-8. Therefore, we can set up the following equation:

x + (x-8) = 22

Simplifying, we get:

2x - 8 = 22

Adding 8 to both sides:

2x = 30

Dividing by 2:

x = 15

We can check this by plugging x back into the equation and verifying that the number of cars repaired is 7, which is 8 fewer than 15.

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Answer:

First triangle x=9

Second triangle x=20

Step-by-step explanation:

Using Pythagorean theorem

40^2+x=41^2

1600+x^2=1681

-1600        -1600

x^2=81

To find x we do the opposite of powers and find the squared

x=9

Second triangle

21^2+x^2=29^2

441+x^2=841

-441        -441

x^2=400

x=20

Answer:

S(t) = -13sin(t) -3cos(t)

Step-by-step explanation:

a(t) = 13 sin(t) + 3 cos(t)

The above is the acceleration if the moving particle.

To determine it's position at any given time we integrate the expression with respect to t to find the distance Expression and then solve

The integral will be a double Integral .

a(t) = 13 sin(t) + 3 cos(t)

First integral

V(t) =-13cos(t) +3sin(t)

Second integral

S(t) = -13sin(t) -3cos(t)

So to determine the position if the particle the expression will be used

Answer:

Step-by-step explanation:

V = 3.9V

I = 0.12A

Ohm's Law, V = IR

Rearranging Ohm's Law, R = V/I

R = 3.9/0.12 = 32.5Ω

Answer:x-(2 7/8)=1/2

Step-by-step explanation:

Answer:

3x-8x+20, multiplying-4 to (2x-5)

-5x+20, as 3-8=-5

True.

Answer:

-------------------------------

\(35000 \times \frac{15}{100} = 350 \times 15 = 5250\)

Answer:

<

Step-by-step explanation:

The bars on either side of 81.48 are the absolute value symbol.

The absolute value of a number is its positive numerical value.

\(\implies |81.48| = 81.48\)

\(\boxed{\begin{minipage}{5.3cm}\underline{Inequality symbols}\\\\$ < $ means "less than"\\$ > $ means "more than"\\$\leq $ means "less than or equal to"\\$\geq $ means "more than or equal to"\end{minipage}}\)

A negative number is always less than a positive number.

\(\implies -88.48 < |81.48|\)

Therefore, the sign that makes the statement true is "<".

Answer:

-88.48 < ∣81.48∣

Step-by-step explanation:

The given equation is,

→ -88.48 ? ∣81.48∣

The sign which we use will be,

→ -88.48 ? ∣81.48∣

→ -88.48 < 81.48

Hence, the sign we use is (<).

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Answer:a true

Step-by-step explanation:

Hope this help

The wrap has an area of  1.12π square inches.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, The net of a cylinder with a diameter of both circles labeled 1.6 inches.

So, The complete circle or the circumference of the circle will be the length of the wrap which is,

= 2π×0.8.

= 1.6π and the height of the wrap is 0.7 inches.

Therefore, the area of the wrap is 1.6π×0.7 square inches.

= 1.12π square inches.

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Answer: The real answer is 2.4π square inches (B)

Step-by-step explanation:

(Get ready for a long explanation)

So, we are trying to find the Surface Area of the cylinder.

We need to use the formula (SA = 2πr^2 + 2πrh)

Looks like a very long formula, but let do it in parts.

So the first part is just finding the area of the circle and multiplying by 2 because there are two bases. The area formula for circles is (πr^2)

But this time put a 2 in there. (2πr^2)

Okay lets get started. The diameter is 1.6. The radius is half the diameter, so divide 1.6 by 2 and you will get 0.8 which is the radius.

Now times the radius by itself (0.8 * 0.8 = 0.64) Now times that by 2 (0.64 * 2 = 1.28) The answer should be in terms of pi so just put the pi symbol next to 1.28  (1.28π)

On to the next part, (2πrh) you are basically taking the circumference of either circle base, and multiplying that by the height, which is (0.7)

The formula for Circumference is (2πr)

We already have the diameter so we don't need times the radius by 2.

So take the diameter of the circle base (1.6) and multiply that by the height, which is (0.7)
(1.6 * 0.7 = 1.12π)

Now for the last part, we need to add the two values together to find the surface area.

The first value we found is (1.28π ) and the second is (1.12π)

Now add (1.28π  + 1.12π = 2.4π)

Answer: 2.4π square inches

Sorry for the really long explanation. I took the same test and I got it right so here is proof that it is correct. Have a great day y'all.

Carrying value on June 30, 2024  is $176 million, total  Interest revenue  is $12.44 million

To calculate the interest revenue for the first six months, we need to find the carrying value of the bonds on June 30, 2024.

The carrying value is the purchase price plus the accrued interest, which is calculated as follows:

Accrued interest = Face value x Coupon rate x Time

where Time = 6/12 = 0.5 (since interest is paid semiannually)

Accrued interest = $200 million x 6% x 0.5 = $6 million

Carrying value on June 30, 2024 = Purchase price + Accrued interest

= $170 million + $6 million

= $176 million

The interest revenue for the first six months is calculated as follows:

Interest revenue = Carrying value x Market rate x Time

= $176 million x 8% x 0.5

= $7.04 million

For the second six months, the carrying value is the fair value of $180 million, since the bonds were revalued at December 31, 2024.

The interest revenue for the second six months is calculated as follows:

Interest revenue = Carrying value x Coupon rate x Time

= $180 million x 6% x 0.5

= $5.4 million

Total interest revenue = Interest revenue for first six months + Interest revenue for second six months

= $7.04 million + $5.4 million

= $12.44 million

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Answer:

60º

Step-by-step explanation:

The angles are congruent

and are all 60º

The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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Answer:

8,081,101,531

Step-by-step explanation:

8,081,101,531

Answer:

soviet russia

Step-by-step explanation:

just kidding

The free market is an economic system based on supply and demand with little or no government control. ... Based on its political and legal rules, a country's free market economy may range between very large or entirely black market

Countries that have a market economy are Mexico, United States, United Kingdom, Germany, and Canada . These countries have a market economy because the prices of goods and services are set by supply and demand