Can someone help me please

Changing the inequality signs would ensure that the signs on the solution would also be reversed

The system of inequality is given as:

\(y > 2x + \frac 23\)

\(y < 2x + \frac 13\)

When the inequality signs are reversed, we have the following system of equations

\(y < 2x + \frac 23\)

\(y > 2x + \frac 13\)

Changing the inequality signs would ensure that the opposite region of the initial system of inequality is shaded, and the signs on the solution would also be reversed

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The solutions of the quadratic equation x^2 + 3x - 10 = 0 are x = 4 and x = -1.

The solution of the quadratic equation x^2 + 3x - 10 = 0 can be found by using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Where (a, b, and c) are 1, 3, and -10

So, the solutions of the equation x^2 + 3x - 10 = 0 are:

x = (-3 ± √(3^2 - 4(1)(-10)) ) / 2(1)

x = (-3 ± √(9 + 40)) / 2

x = (-3 ± √49) / 2

x = (-3 ± 7) / 2

x = (4, -1)

Complete question:

Which of the following is the solution of the quadratic equation x^2 - 3x − 10 = 0?

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The lengths of the other two sides of the right triangle are 12 and 13

From the question, we are to determine the lengths of the other sides of the triangle

From the given information,

The other sides have lengths that are consecutive integers

Thus,

If the length of the other side is x

Then,

The hypotenuse will be x + 1

By the Pythagorean theorem, we can write that

(x+1)² = x² + 5²

(x+1)(x+1) = x² + 25

x² + x + x + 1 = x² + 25

x² - x² + x + x = 25 - 1

2x = 24

x = 24/2

x = 12

∴ The other leg of the right triangle is 12

Hypotenuse = x + 1 = 12 + 1 = 13

Hence, the lengths of the other two sides are 12 and 13

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mathpapa should n could help

Answer: 16.48486

Step-by-step explanation:

tan(70°) = x/6

x = 6tan(70°)

x = 16.48486

The Average rate of growth is 28589 per year

The Slope of the line connecting is m = 28589 pee year.

The average rate of growth is a measure of how much a quantity or variable changes on average over a certain period of time. It is calculated by dividing the total change in the quantity by the length of the time period. The formula for the average rate of growth is:

Average Rate of Growth = (Final Value - Initial Value) / Time Interval

Average rate of growth = 1611,589-210733 / 2009-1960

= 28589 per year

Slope of the line connecting ( 1960, 210, 733) 4 (2009, 1,611, 589) will be:

m = У2 - y1 / x2 - x1

m = 28589 per year

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Step-by-step explanation:

please mark me as brainlest

Answer:

first option

Step-by-step explanation:

Given

area = 15x - 9 ← factor out 3 from each term

       = 3(5x - 3)

Thus the dimensions are 3 by (5x - 3)

The average value of a function f(x) on an interval [0, 6] is represented by 'a'. To determine if there is a value 'c' for which the average value of f(x) on the interval [0, c] is greater than 'a', we need to consider the properties of the function and the Mean Value Theorem.

The Mean Value Theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point 'c' in the interval (a, b) such that the average rate of change equals the instantaneous rate of change or f'(c) = (f(b) - f(a)) / (b - a).

Without more information about the function f(x), we cannot definitively say whether there is a value 'c' for which the average value of f(x) on the interval [0, c] is greater than the average value on the interval [0, 6]. However, if the function meets the conditions of the Mean Value Theorem, it is possible that such a value 'c' exists.

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Answer:

Step-by-step explanation:

x+2

degree is 1  

\(x^{1} +2\)

and has two terms so is a binomial

Answer:

Sorry I don't know that one

we have -4.5 + 4.4 + x = 0

<=> -0.1 + x = 0

<=> x = 0.1 ( P/s: x is the answer to fill in the blank )

Now look in the answer below we have :

+) A. -6.7 + 6.8 = 0.1 (S)

+) B. -6.7 +(-6.6) = -13.3 (NS)

+) C. 7.2 + (-7.2) = 0 (NS)

+) D. 7.2 + (-7.3) = -0.1 (NS)      ( P/s: NS : not selected , S : selected )

So A is the correct answer

Ok done. Thank to me :>

Answer:it is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}\)

Answer: Basically, bottom is first. The top is second, and the middle one is last.

Step-by-step explanation:

1. Super Duper Easy, first, subtract ax, making it by = c - ax

2. Then, divide b , so by/b = c/b - ax/b

3. Becoming y = c/b - ax/b

Answer:

20

Step-by-step explanation:

TO find the answer, use multiplication.

When one part of a fraction multiplies, you multiply the other number with it. 22x3 is 66, so divide 60 by 3. You get 20. n=20. Hope it helps.

You can use ratio. 60:66 is n:22. 22 goes into 66 3 times,  and 20 goes into 60 3 times too, so 20:22 is equivalent to 60:66

(please give brainliest)

n=20

I used cross multiplication

Answer:

10.19

Step-by-step explanation:

Use the Pythagorean Theorem:

\(a^{2}+b^{2}=c^{2}\)

Substitute the numbers given:

\(11^{2}+b^{2}=15^{2}\)

\(121+b^{2}=225\\ b^{2}=225-121\\ b^{2}=104\\ \sqrt b^{2}= \sqrt{104} \\ b=10.19\)

Answer:

true

Step-by-step explanation:

The measure of ∠L in Triangle JKL is 56.1 degrees.

In geometry, the measures in triangles refer to the angles and sides within a triangle. Triangles are three-sided polygons, and the measures of their angles and sides are important properties that determine their shape and characteristics.

In a triangle, the sum of the measures of all three angles is always 180 degrees. Therefore, to find the measure of ∠L in Triangle JKL, we can use the information given:

∠J is congruent to ∠L, which means they have the same measure.

∠K is given as 67.8 degrees.

Since ∠J is congruent to ∠L, we can denote their measure as "x".

So, the sum of the measures of ∠J, ∠K, and ∠L is 180 degrees:

∠J + ∠K + ∠L = 180

Substituting the given values:

x + 67.8 + x = 180

Simplifying the equation:

2x + 67.8 = 180

Subtracting 67.8 from both sides:

2x = 180 - 67.8

2x = 112.2

Dividing both sides by 2:

x = 112.2 / 2

x = 56.1

Hence, the measure of ∠L in Triangle JKL is 56.1 degrees.

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Answer:

24 mill

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

x=10,6

Step-by-step explanation:

The Law of Sines says that for a given triangle, the ratio between the sine of an angle and the length of the opposite side is the same for all three angles in a triangle. the sine values of all three internal angles will be the samethe sine values of all three internal angles will be proportional to each otherthe ratio between the sine of the angle and the opposite side will match for all three internal anglesthe sine values of all three angles will be different

In a triangle, we have three angles and three sides. The Law of Sines says that for any triangle, the ratio between the sine of an angle and the length of the opposite side will be the same for all three angles. In other words, the sine values of each angle are proportional to the length of the opposite side.

To put this in mathematical terms, let's consider a triangle with angles A, B, and C, and sides a, b, and c respectively. The Law of Sines can be written as:

sin(A)/a = sin(B)/b = sin(C)/c

This means that if we know the length of any two sides and the measure of the angle opposite one of those sides, we can use the Law of Sines to find the measure of the other angles and sides.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

The sample, which better represents the entire population;

200 people in the city are randomly selected from the phone directory and surveyed to find out the favorite game of the city residents.

The correct option is D.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

A). 150 members of a golf club are surveyed to find out the favorite game of the city residents.

Here, the survey is not done unbiasedly.

Similarly with the other options B and C.

But in (D),

200 people in the city are randomly selected from the phone directory and surveyed to find out the favorite game of the city residents.

The survey is done unbiasedly.

Not in any sport-specific stadium.

Therefore, the correct option is D.

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Answer:

(22h - 8) centimeters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

= 2{(9h - 1) + (2h - 4)}

= 2(9h - 1 + 2h - 4)

= 2(11h - 4)

= (22h - 8) centimeters

Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.

To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:

S = P + (P × r / 100)

Where S is new sales, P is old sales, and r is a rate of increase.

In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:

S = P + (P × r / 100)

S = $82,000 + ($82,000 × 12.5 / 100)

S = $82,000 + $10,250S = $92,250

Hence, the projected sales volume for this year is $92,250.

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The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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Answer:

\(n = 500e^{-4.1589x}\)

Step-by-step explanation:

Using the exponential growth equation \(N(t) = N_0e^{-kt}\) where;

N₀ is the initial population of the bacteria

N(t) is the population of the bacteria during time t

If a biologist puts an initial population of 500 bacteria into a growth plate, this means that N₀ = 500 at t = 0

\(N(t) = N_0e^{-kt}\\N(t) = 500e^{-k(0)}\\N(t) = 500e^0\\N(t) = 500\)

If the population is expected to double every 4 hours, this means when t = 4, N₀  = 2(500) = 1000

\(N(t) = N_0e^{-kt}\\500 = 1000e^{-4k}\\\frac{500}{1000} = e^{-4k}\\0.5 = e^{-4k}\\ln(0.5) = lne^{-4k}\\ln(0.5) = -4k\\k = \frac{ln0.5}{-4} \\k = 0.1733\)

The equation that will give the expected number of bacteria, n, after x days, can be gotten by substituting N(t) = n and t = x days = 24x hours

\(N(t) = N_0e^{-kt}\\n = N_0e^{-0.1733(24x)}\\n = 500e^{-4.1589x}\)

Hence the equation that will give the expected number of bacteria, n, after x days is \(n = 500e^{-4.1589x}\)

Answer:

They are equivalent because they both equal .8 no matter what

Step-by-step explanation:

\(\rm The\; \bold {answer}\; is\; the \; expresion \;\;\;\dfrac{8}{10} = \dfrac {80}{100}\)

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

A math expression is different from a math equation. An equation will always use an equal (=) operator between two math expressions.

Expression is (Number/variable, Math Operator, Number/variable)

Here in the given question The left hand side can be simplified to

0.8 and the right hand side can also be simplified to 0.8.

Therefore

\(\rm \dfrac{8}{10}\;\;\;\;\bold{ \underline{=}} \;\;\;\;\dfrac {80}{100}\)

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Answer: The first option and the third option

Step-by-step explanation: You are not supposed to find something equivalent to the fraction, you have to divide the fraction.

13824 ÷ 8 = 1728

Then it is when you try to find a number equivalent to 1728. 12 to the power of 3 equals 1728

12×12=144

144×12=1728

12 to the power of 3 is equivalent to 1728

These are wrong: 2 to the power of three is unequivalent and so is 12 to the power of 6 and 6 to the power of 3

2 to the power of 6 is 64

2×2=4

4×2=8

8×2=16

16×2=32

32×2=64

3 to the power of 3 is 27

3×3=9

9×3=27

64 times 27 equals 1728 so it's equivalent and that means that our answers are A, the 1st option , and C, the 3rd option

The equivalent expression will be;

⇒ 12³

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 6³ × 2⁶ / 2³

Now,

Since, The expression is,

⇒ 6³ × 2⁶ / 2³

Solve as;

⇒ 6³ × 2⁶ × 2⁻³

⇒ 6³ × 2⁶⁻³

⇒ 6³ × 2³

⇒ (6 × 2)³

⇒ 12³

Thus, We get;

⇒ 6³ × 2⁶ / 2³ = 12³

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Answer:

The answer for question one is 162 cm

Answer:

B=Cd,A

C=DA,B

D=Ab,c

Step-by-step explanation:

(A,b)

(7,8)

=-1