What is the simplified form of (2x + 3)(x - 5)?

Answer:

both linear and nonlinear

The value is 10.81

From the question, we have

\(\sqrt{3^{4} +6^{2} } \\=\sqrt{81+36 }\\=\sqrt{117 }\\ = 10.81\)

The value is 10.81

Addition:

When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.

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Of the mentioned characteristics, that with the greatest range of values is Mass.

The mass of a star can range from about 0.08 solar masses to over 100 solar masses. This is a very wide range, and it is much wider than the ranges for radius, core temperature, or surface temperature.

The radius of a star is typically about 1-10 times the radius of the Sun. The core temperature of a star is typically about 10-100 million degrees Kelvin. The surface temperature of a star is typically about 2,000-30,000 degrees Kelvin.

Therefore, the mass of a star has the greatest range in values.

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Answer: Electrons

Step-by-step explanation:

To the nearest centimeter, the length of the paper's diagonal would be C. 20 cm.

To calculate the length of the paper's diagonal, we would employ the Pythagoras theorem where the square of the longest side is equal to the square of the smaller sides.

The diagonal in this instance is the hypotenuse. So,

\(d^2 = 10^2 + 17^2\)

= 100 + 289

389

The square root of 389 is 19.7 cm and when we approximate this length to the nearest centimeter, we would have 20 cm.

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Answer:

Step-by-step explanation:

Answer:

4 games

Step-by-step explanation:

Set up an equation for Javier's night at Pinz Bowling Alley:

\(11.47x + 9.55\)

Set up another equation for Javier's night at Vista Bowl:

\(12.5x + 3.95\)

Javier bought a drink at Vista Bowl, so modify the equation to accommodate this:

\(12.5x+3.95+1.48\)

Javier spent the same both nights in both alleys, so it is possible to set up a system of equations:

\(11.47x+9.55 = 12.5x+3.95+1.48\)

Simplify:

\(11.47x + 9.55 = 12.5x + 5.43\)

And solve for x, the number of games he played.

\(4.12 = 1.03x\)

\(x = 4\)

Javier played 4 games at each bowling alley.

Answer:

No solution

Step-by-step explanation:

Because BDC is 20, and DC = DB, DBC is also 20 degrees. ABD would then be 160 since DBC and ABD has to equal 180. You know ADB is 35 so 160 + 25 + x has to equal 180. But 160 + 25 is already 185, and x can't be negative, so no solution.

Answer:

Final Answer: Statements 1, 2 and 4 are correct.

Step-by-step explanation:

Finding value of y:

2y + 3 = 15 => 2y = 12 => y = 6;

Finding value of x:

6x + 5 = 77 => 6x = 72 => x = 12;

Statement Number 1:

y² > 2x ? => 6² > 2 * 12 ? => 36 > 24 ?

Yes, 36 is bigger than 24, therefore statement one is correct.

Statement 2:

x = 2y ? => 12 = 2 * 6? => 12 = 12?

Yes, 12 is equal to 12. Statement 2 is correct.

Statement 3:

x + 2 = y + 10 ? => 12 + 2 = 6 + 10? => 14 = 16?

No, 14 is not equal to 16. Statement 3 is incorrect.

Statement 4:

y + 4 > x - 4 ? => 6 + 4 > 12 - 4 ? => 10 > 8 ?

Yes, 10 is bigger than 8. Statement 4 is correct.

If this helped you please rate

Final Answer: Statements 1, 2 and 4 are correct.

Answer:

-42

Step-by-step explanation:

The predecessor of -41 is -42.

\(\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 8000\\ P=\textit{initial amount}\dotfill &45000\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ t=years \end{cases}\)

\(8000 = 45000(1 - 0.12)^{t} \implies \cfrac{8000}{45000}=(1 - 0.12)^{t}\implies \cfrac{8}{45}=0.88^t \\\\\\ \log\left( \cfrac{8}{45} \right)=\log(0.88^t)\implies \log\left( \cfrac{8}{45} \right)=t\log(0.88) \\\\\\ \cfrac{\log\left( \frac{8}{45} \right)}{\log(0.88)}=t\implies \boxed{14\approx t}\)

1/2 x 5 is greater than less than equal to 5​

Answer: Greater than

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i is represented by :

C) -5 - 4i.

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i can be found by changing the sign of the imaginary part. In this case, the imaginary part is 4i, so the conjugate will have a negative sign for the imaginary part.

The conjugate of the complex number is given by -5 - 4i. This means that if we have a complex number of the form -5 + 4i, its conjugate will be -5 - 4i. The conjugate of a complex number is important in various mathematical operations, such as complex number multiplication and division, as it helps simplify the expressions and eliminate the imaginary parts when needed.

Among the given options, option C) -5 - 4i represents the conjugate of the complex number with a real part of -5 and an imaginary part of 4i.

The correct question should be :

Which of the following expressions represents the conjugate of a complex number with a real part of -5 and an imaginary part of 4i?

A) 5

B) 4i

C) -5 - 4i

D) -5 + 4i

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To determine the distance and angle if you cut the diagonal instead of taking the sidewalks, we can use the Pythagorean theorem and trigonometry.

The straight-line distance from point A to point D, taking the sidewalks, is given as 200 yards north and 100 yards east. This creates a right triangle with the two sides being the distances traveled north and east.

We can use the Pythagorean theorem to find the hypotenuse (diagonal distance) of the right triangle. Let's call it c.

\(c^{2}\) = (\(200^{2}\)) + (\(200^{2}\))

c ≈ \(\sqrt{50,000}\)

c ≈ 223.61 yards

Therefore, if you cut the diagonal, the distance you would walk is approximately 223.61 yards.

To find the angle you would walk, we can use trigonometry. Since the lengths of the two sides of the right triangle are known (200 yards and 100 yards), we can use the tangent function to find the angle θ.

tan(θ) = opposite/adjacent

tan(θ) = 200/100

tan(θ) = 2

θ ≈ 63.43 degrees

Therefore, if you cut the diagonal, the angle you would walk is approximately 63.43 degrees.

Now, let's move on to the second question:

\(3^{1-\frac{51}{2} }\) = 3 - \(\sqrt{\frac{5}{2}\)

3 - \(\sqrt{\frac{5}{2}}\) ≈ 3 - 1.58114 ≈ 1.41886

Therefore, the number (decimal of a foot) you would enter on your calculator to equal \(3^{1-\frac{51}{2} }\) is approximately 1.41886.

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Answer:

B

Step-by-step explanation:

The ratios are 2:1

In the table it shows 4:2, 8:x, y:6, 20:z

To find if the ratios are equivalent we would need to plug in

Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1

Answer:

Its B

Step-by-step explanation:

Answer:

answer will 6÷5 in fraction option C

Yes, the equation ˆεt = Yt − α − βXt can be used to compute the OLS (Ordinary Least Squares) residual in a bivariate regression model.

In a bivariate regression model, we aim to estimate the relationship between a dependent variable Y and an independent variable X using a linear equation of the form Y = α + βX + ε, where α and β are the intercept and slope coefficients, and ε represents the error term.

The OLS method estimates the values of α and β that minimize the sum of squared residuals, which are the differences between the observed values of Y and the predicted values based on the estimated model.

The equation ˆεt = Yt − α − βXt represents the difference between the observed value Yt and the predicted value α + βXt for a specific data point. It represents the residual or the unexplained part of the dependent variable Y after accounting for the estimated intercept and slope coefficients. By computing these residuals for each data point, we can evaluate the goodness of fit of the regression model and assess the extent to which the model captures the observed data.

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Answer:

Step-by-step explanation:

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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Answer:

"Wooden leg" is the correct answer.

The amount of money Ada have initially is $9.25 and this can be determined by forming the linear equation.

Given :

The following steps can be used in order to determine the money Ada have initially:

Step 1 - Let the total money of Ada be 'a', Betty be 'b', Chris be 'c', and David be 'd'.

Step 2 - The linear equation that represents the total money they have is given by:

a + b + c + d + = 45   --  (1)

Step 3 - Now, after Ada gets $2 from Betty, Chris triples his money, and David's money is cut by half, four of them have the same amount of money.

Step 4 - Let the amount of money they all have be 'x' then:

4x = 45         ----         (from equation (1))

x = $11.25

Step 5 - The initial amount of money Ada have is:

x = a + 2

11.25 = a + 2

11.25 - 2 = a

a = $9.25

So, Ada have $9.25 initially.

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The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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In a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.

The galaxy is composed of so many stars. The stars are part of the outer space and they can be seen with the help of a telescope. There are so many kinds of telescope that could be used to view the outer space.

Thus, in a nova, there is a white dwarf, an evolving companion star, and an accretion disk surrounding the white dwarf's equator.

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No, Alice is not right. The probability of getting two heads when we know that the first toss is a head is 1/2, whereas the probability of getting two heads when we know that at least one of the tosses is a head is 1/3.

If we know that the first toss is a head, the only possible outcomes are HH or HT. The probability of getting two heads in this case is 1/2.

If we know that at least one of the tosses is a head, the possible outcomes are HH, HT, or TH. The probability of getting two heads in this case is 1/3.

Therefore, the event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

In conclusion, Alice's claim is incorrect. The event of two heads is less likely if we know that at least one of the tosses is a head than if we know that the first toss is a head.

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On [0,∞] the function grows, whereas on [-∞, 0], it shrinks. f has absolute minimum value is 0, and it also has the same relative minimum value (0,0).

On the graph, you are able to see a "open circle" at it when x< 0. (0, 0).

There consequently no absolute maximum value of f due to the graph's infinitely high y values.

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Answer:

what is the question?

Step-by-step explanation:

The type of statistical study that the researchers used is a randomized controlled trial (RCT). In a randomized controlled trial, participants are randomly assigned to two or more groups.

One group is the treatment group, which receives the intervention being studied. The other group is the control group, which does not receive the intervention.

The researchers in this study randomly assigned 200 full-time employees to two groups: a treatment group and a control group. The treatment group was instructed to meditate 10-20 minutes twice per day, and to participate in weekly 1-hour sessions. The control group was not given any special instructions.

After a period of 8 weeks, all participants were required to fill out the psychological strain questionnaire (PSQ). The PSQ is an accepted measure of work stress.

The researchers calculated the difference in questionnaire scores for all participants, where a positive change corresponds to a reduction in work stress. Then, they compared the average differences of each group.

The researchers found that the treatment group had a significantly lower average difference in PSQ scores than the control group. This suggests that meditation may be an effective way to reduce work stress.

Here are some other details about randomized controlled trials:

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