3x + 2 = 14


Which number makes the equation true?
Responses
A 11
B 22
C 44
D 66
E 12

i) The multiplication of (3.1x\(10^0\)) and (1.5x10) results in 4.65x\(10^1\).

j) The division of (3.1x10) by (1.5x\(10^{-1\)) equals 2.07x\(10^1\).

i) To multiply numbers in scientific notation, we multiply the coefficients (3.1 and 1.5) and add the exponents (0 and 1) together. In this case, 3.1 multiplied by 1.5 gives us 4.65. Adding the exponents, \(10^0\) multiplied by \(10^1\) results in \(10^1\). Therefore, the final result is 4.65x\(10^1\).

j) When dividing numbers in scientific notation, we divide the coefficients (3.1 and 1.5) and subtract the exponents (1 and -1) from each other. Dividing 3.1 by 1.5 gives us approximately 2.07. Subtracting the exponents, \(10^1\)divided by \(10^{-1\) is equivalent to \(10^{(1-(-1))}\) which simplifies to 10^2. Hence, the result is 2.07x\(10^1\).

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Answer:

The answer is B or the 2nd option

Step-by-step explanation:

HAVE A GREAT DAY AND STAY SAFE!

The graph which shows the velocity of the particle at any time attached below.

The velocity of a particle modeled by the function,

         \(V(t)=\frac{1}{10}(3t-8)^{3} +2\)

It is observe that the given velocity function is cubic function.

The attached graph shows the velocity of the particle at any time.

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

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Answer:

Measure of ∠8 is 130°.

Step-by-step explanation:

We can solve for ∠8 in multiple steps:

∠1 = 50°

∠5 = 50° due to corresponding angles being equivalent

180° - m∠5 = m∠8 due to supplementary angles

180° - 50° = m∠8 = 130°

Therefore, the measure of ∠8 is 130°.

Answer: The measure of angle 8 is 130 degrees.

Step-by-step explanation:

Angle 8 and angle 4 has the same measures.  The same way angle 1 and angle 5 also have the same measures.So we know that angle 1 is 50 degrees so angle 5 is also 50 degrees. Angle 5 and  8 lies on a straight line.And straight lines have a measure of 180 degrees.So we know that angle 5 is 50 degrees so what angle measure will 50 degrees add up to get 180 degrees.

Use the equation

50 + x =180  solve for x

-50       -50

x = 130

This means angle 8 is 130 degrees .

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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SOLUTION

That is the graph.

CONCLUSION

THE TWO LINES WILL HAVE THE SAME SLOPE.

Therefore, they could be considered as parallel since two parallel lines have the same slope.

The approximate area of the unshaded region under the standard normal curve is 0.18 the option third is correct.

It is given that the standard normal curve shows the shaded area in the curve.

It is required to find the approximate area of the unshaded region under the standard normal curve.

It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.

In the curve showing the shaded region area between:

\(\rm P(-2\leq Z\leq 1)\)

First, we calculate the shaded region area:

From the table given the value of Ф(1) = 0.8413.

The value of Ф(2) = 0.9772

Since the curve is symmetrical

Ф(-2) = 1 - 0.9772 ⇒ 0.0228

The shaded region area:

\(\rm P(-2\leq Z\leq 1)\) = Ф(1) - Ф(-2) ⇒ 0.8413 - 0.0228  ⇒ 0.8185

To calculate the area of the unshaded region:

= 1 - The shaded region area

= 1 - 0.8185

= 0.1815  ≈ 0.18

Thus the approximate area of the unshaded region under the standard normal curve is 0.18 the option third is correct.

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Answer:

the area of the unshaded region is 0.1815 is the c option.

Step-by-step explanation:

Ron's car's value can be modeled by the function V(x) = 37, 500(0. 9425) 1 25x , The approximate rate of depreciation of Ron's car is approximately 5.75% per year.

The function \(V(x) = 37,500(0.9425)^{1.25x\) represents the value of Ron's car over time, where x represents the number of years since 2006. To find the rate of depreciation, we need to determine the percentage decrease in value per year.

In the given function, the base value is 37,500, and the decay factor is 0.9425. The exponent 1.25 represents the time factor. The decay rate of 0.9425 means that the value decreases by 5.75% each year (100% - 94.25% = 5.75%).

Therefore, the approximate rate of depreciation of Ron's car is approximately 5.75% per year. This means that the car's value decreases by approximately 5.75% of its previous value each year since 2006.

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Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20  + 10 = -10

Step-by-step explanation:

They can be found by considering where the second derivative changes signs. In similar to critical points in the first derivative, inflection points will occur when the second derivative is either zero or undefined.

make me brainlist

The correct answer is (d) Neither [1] nor [2].

Both statements [1] and [2] are incorrect.

Statement [1] claims that if A is a unitary matrix, its singular value decomposition (SVD) is A = UΣV¹, where Σ must be an identity matrix. This statement is not true. In the SVD of a unitary matrix A, the diagonal matrix Σ contains the singular values of A, which are not necessarily equal to one. The diagonal elements of Σ represent the magnitudes of the singular values, and they can be any positive real numbers.

Statement [2] claims that the eigenvalues of a unitary matrix A are equal to one. This statement is also incorrect. The eigenvalues of a unitary matrix have unit modulus, which means they can have values other than one. In fact, the eigenvalues of a unitary matrix can be any complex number that lies on the unit circle in the complex plane.

Therefore, neither statement [1] nor statement [2] is correct, and the correct answer is (d) Neither [1] nor [2].

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Answer:

50% of what number is 11.72 = 23.44

Step-by-step explanation:

50% is half, so simply doube it.

Answer:

1 carton

Step-by-step explanation:

3 (7/10)= 21/10

1/3 of 21/10= 7/10

7/10=1 carton

Based on the given scatter plot and writing the equation in slope-intercept form, the equation for the line drawn is y = -10x + 90, and according to this equation, Sidney is predicted to have 20 comic books left at the end of the seventh day.

To write an equation in slope-intercept form for the line drawn on the scatter plot, we need to determine the slope (m) and the y-intercept (b).

From the given scatter plot, we can see that the line starts at the point (0, 90) on the y-axis, and as the number of days increases, the number of comic books left decreases.

Let's choose another point on the line, such as (7, 20), which represents the number of comic books left at the end of the seventh day.

Using these two points, we can calculate the slope (m) as the change in y divided by the change in x:

m = (y₂ - y₁) / (x₂ - x₁) = (20 - 90) / (7 - 0) = -70 / 7 = -10

Now, we can substitute the slope and one of the points (0, 90) into the slope-intercept form equation (y = mx + b) to solve for the y-intercept (b):

90 = -10(0) + b

b = 90

Therefore, the equation for the line that is drawn on the scatter plot is:

y = -10x + 90

To make a conjecture about the number of comic books Sidney will have at the end of the seventh day, we can substitute x = 7 into the equation:

y = -10(7) + 90

y = -70 + 90

y = 20

Based on the equation, we can conjecture that Sidney will have 20 comic books left at the end of the seventh day.  

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x=-8 All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given

Answer:

B figure 1 and 3

Step-by-step explanation:

they are the same identical thing but different sizes

Answer:

D) 3

Step-by-step explanation:

Recall the formula for a Taylor Series of a function f(x) centered at x=a:

\(\displaystyle f(x)=f(a)+f'(a)(x-a)+\frac{f''(a)(x-a)^2}{2!}+\frac{f'''(a)(x-a)^3}{3!}+...+\frac{f^n(a)(x-a)^n}{n!}\)

Therefore, the coefficient of x² would come from determining \(\displaystyle \frac{f''(a)(x-a)^2}{2!}\):

\(\displaystyle \frac{f''(0)(x-0)^2}{2!}=\frac{\frac{6}{(1+0)^4}x^2}{2}=\frac{6x^2}{2}=3x^2\)

So, the coefficient would be 3.

The coefficient of x² in the Taylor series expansion for 1/(1+x)² about x = 0 can be determined by taking the derivative of the function and evaluating it at x = 0. The correct option is c.

To find the Taylor series expansion of 1/(1+x)², we can start by expanding the function using the geometric series:

1/(1+x)² = (1 - x + x² - x³ + ...)² = 1 - 2x + 3x² - 4x³ + ...

By inspecting the expansion, we can see that the coefficient of x² is 3. Therefore, the correct option is (c) 1.

In summary, the coefficient of x² in the Taylor series for 1/(1+x)² about x = 0 is 3, which corresponds to option (c).

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Answer:

D. 887 ÷ 43 ≈ 21

Step-by-step explanation:

The amount of money Kim, maneet and Sutopa have is $115.6, $97.6 and $73.2 respectively.

x + (x - 18) + 3/4(x-18) = 286.40

x + x - 18 + 3/4x - 13.5 = 286.40

2 3/4x = 286.40 + 13.5 + 18

11/4x = 317.9

x = 317.9 ÷ 11/4

= 317.9 × 4 / 11

= 1,271.6 / 11

x = $115.6

So,

Kim = x

= $115.6

Maneet = x - 18

= 115.6 -18

= $97.6

Sutopa = 3/4(x-18)

= 3/4(97.6)

= $73.2

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Answer:160 tiles

Step-by-step explanation:

The room measures 5 m by 8 m, so we need to multiply them to find the total area of the floor to be covered

5 x 8 = 40 m squared

Now the square tile has a side of 0.5 m. All sides on a square are equal. We need to find the area of the square so:

0.5 x 0.5 = 0.25 m squared

Now to find the no. of tiles requires we just divide the floor's area by the tile's area

40 divided by 0.25 = 160

Therefore we need 160 tiles to cover the floor.

Answer:

pls add me as a friend pls

Step-by-step explanation:

The remainder of the f(x) = 3x³ + 6x² - 3x + 2 and divisor x + 3 applying synthetic division is equal to -16.

Use synthetic division and the remainder theorem to find the remainder of f(x) when divided by x- c,

Set up the synthetic division table with c on the left side, and the coefficients of f(x) on the top row.

Bring down the first coefficient of f(x) into the first box below the horizontal line.

Multiply c by the number in the first box and write the result in the second box.

Add the number in the second box to the coefficient in the second column, and write the result in the third box.

Repeat steps 3 and 4 until you reach the last box. The number in the last box is the remainder.

Check if the remainder is zero. If it is zero, then x -c is a factor of f(x),

and g(x) = (x- c) is a factor of f(x).

Dividend is equal to,

f(x) = 3x³ + 6x² - 3x + 2

Divisor is equal to,

g(x) = x + 3

Synthetic division is attached in the figure.

Expressed in remainder theorem

3x² -3x + 6 + ( -16 / x + 3 )

Therefore, the remainder of the synthetic division for the given dividend and divisor is equal to -16.

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Answer:

3

Step-by-step explanation:

6×3/6 (the / means ÷)

(6×3) ÷6

18 ÷6

=3

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

True. In simple linear regression analysis, the least squares regression line is a line that best fits the given data by minimizing the sum of the squared differences between the actual y values and the predicted y values.

This line is obtained by finding the slope and intercept that minimize the sum of the squared residuals.

The sum of the squared differences, also known as the sum of squared residuals or the sum of squared errors, measures the overall distance between the observed y values and the predicted values on the regression line. By minimizing this sum, the least squares regression line provides the best-fitting line that represents the relationship between the dependent variable (y) and the independent variable (x) in a linear manner.

Therefore, it is true that in simple linear regression analysis, the least squares regression line minimizes the sum of the squared differences between actual and predicted y values.

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Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Step-by-step explanation:

Answer:

Step-by-step explanation:

If a wedding cake was cut into 30 slices and 24 of the 30 slices were ate, the fraction that represents the eaten portion of the cake is 24/30.  24/30 can be simplified if we divide both 24 and 30 by two we get 12/15 but this can still be simplified.  We can then divide both numbers by 3 to get 4/5.  4/5 can not be simplified any more.

(x+3i)(x-3i)

A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively. Additionally, I = √-1 and both a and b are real numbers.

Consequently, a complex number is a straightforward illustration of the addition of two integers, specifically a real number and an imaginary number. It consists of two parts: one that is entirely real, the other entirely fantastical.

Using complex numbers,

x²+81 = x² - (-9i)²

           = (x²- 9²i²)

           = (x+3i)(x-3i)

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