Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x?

A. Subtract 1 from both sides to combine like terms
B. Add 4x to both sides to isolate the variable
C. Distribute the 6 to eliminate the parentheses
D. Combine 4x and -5 to simplify the problem

\( \large \mathfrak{Solution : }\)

Degree of a polynomial is the highest exponential power in the expression.

i.e 9 here

so, degree of the given expression is 9

Answer:

Answer is c I think

Step-by-step explanation:

Answer: -8

Step-by-step explanation:

We see on the graph that there are two points located y=4. They are (7,4) ( -8,4).

So the other value other than 7 is -8!

Step-by-step explanation:

Elevator's starting point = -90ft

Elevator's position after 15s = -20ft

The elevator did move upwards as

-20ft. > -90ft.

_________________________________

Distance covered by the elevator = -20 + -90

= -20 + 90

= 70ft.

Time = 15s

Speed = distance/time

= 70/15

= 4.7ft/s

Hello ;)

What is the product square of \(\sqrt{3}\) and \(\sqrt{32}\) in simplest radical form ?

\(\sqrt{3}\) × \(\sqrt{32}\)

= \(\sqrt{3}\) × \(\sqrt{8*4}\)

= \(\sqrt{3}\) × \(\sqrt{8}\) × \(\sqrt{4}\)

= \(\sqrt{4}\) × \(\sqrt{8*3}\)

= \(2\sqrt{24}\)

= \(2\sqrt{4*3*2}\)

= \(2\) × \(\sqrt{4}\) × \(\sqrt{3*2}\)

= \(4\sqrt{6}\)

:-)

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

Given that, on a recent survey, students were asked if they like to fly and if they can drive.

Relative frequency can be defined as the number of times an event occurs divided by the total number of events occurring in a given scenario.

From the table

Likes to fly

Row totals = Can drive + Cannot drive

0.32+Cannot drive =0.70

Cannot drive =0.38

Can drive:

Column totals=Likes to fly + Do not likes to fly

0.32 + Do not likes to fly=0.45

Do not likes to fly=0.13

Cannot drive:

Column totals=Likes to fly + Do not likes to fly

0.38 + Do not likes to fly=0.55

Do not likes to fly=0.55-0.38

= 0.17

Row totals = 0.13 + 0.17

= 30

Students do not likes to fly, can drive is 0.13. Therefore, the completed  relative frequency table is given below.

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Answer:

d ≥ - 21

Step-by-step explanation:

\(\frac{6-d}{9}\) ≤ 3 ( multiply both sides by 9 to clear the fraction )

6 - d ≤ 27 ( subtract 6 from both sides )

- d ≤ 21

multiply both sides by - 1, reversing the symbol as a result of multiplying by a negative quantity.

d ≥ - 21

Answer:

144

Step-by-step explanation:

Least common multiple (LCM) of 36 and 48 is 144.

gimme brainliest I need it to rank up please 1 brainliest answer

Answer:

x = 38.8

Step-by-step explanation:

Answer:

46-38-27-15+13+2

=-17

Ronnie's purchase is not an example of impulsive buying because he had an intention to buy electronic device Impulsive Buying

Impulsive buying is simply a situation buyers are faced with when they purchase items they do not really need or no intention prior to the time of purchase.

However, in this situation Ronnie purchase is not an example of impulsive buying because he had intention to purchase an electronic device, hence he walked into and electronic store.

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Answer:

15 years old

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

this problem is solved by a system of equations

Let Arthur’s current age be represented by:a

His brother’s current age will be represented by: b

The first equation will be:

a = 7 + b

The second equation will be:

a + 8 = 2b

now we solve for the equations. Plug in a = 7+b into a in the second equation.
So now we have

b+7+8=2b

Simplify:

B+15=2b

15=b

We aren’t done yet though

Arthur’s brother is 15 years old but since he is 7 years older we need to add 7 to 15

Hence, Arthur is 22 years old.

The pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

What is vertical opposite angle ?

When 2 lines meet one another, then the other angles, shaped thanks to intersection ar known as vertical angles or vertically opposite angles. A try of vertically opposite angles ar continuously adequate to one another. Also, a angle and its adjacent angle are supplementary angles, i.e., they add up to a hundred and eighty degrees.

Main body:

1st pair of line intersect each other , so ∠1 = ∠2 by using vertical opposite angle.

2nd pair of line also intersect each other , so ∠3 ,∠4 are adjacent angles.

Hence ,pair of 1st line is vertical opposite angle and 2nd one is adjacent angles.

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Answer:

The correct answer is 5.672 x 10^3

Step-by-step explanation:

change the exponent for 3.28 x 10^2, and you get 0.328 x 10^3, and then subtract normally, which gets you 5.672 x 10^3

Answer:

y = 7x + 3

Step-by-step explanation:

So take your lowest point (1, 10) and highest point (8, 59) and arranage them into a division problem so it looks like this 59 - 10/ 8 - 1. Once you use pemdas to reduce this divison problem it gives you 7 so them. Now you have your mx all we have to do now is find your b to do that you take your lowest y value 10 and set that equal to 7 + b. Now solve Algebraically to get b = 3.

(a) The number of enterprise IM accounts that were there in 2006 are 59.4 million.

(b) The expected number of enterprise IM accounts in 2009 are 120.15 million.

Based on the information provided about the number of enterprise instant messaging (IM) accounts, we can logically deduce that its projected grow rate can be modeled by the following quadratic function;

N(t) = 2.97t² + 11.34t + 59.4, (0 ≤ t ≤ 5)

where:

Part a.

For the number of enterprise IM accounts in 2006, we have:

t = 0 years.

N(t) = 2.97t² + 11.34t + 59.4

N(0) = 2.97(0)² + 11.34(0) + 59.4

N(0) = 59.4 million.

Part b.

For the number of enterprise IM accounts in 2009, we have:

t = 0 + (2009 - 2006)

t = 3 years.

N(t) = 2.97t² + 11.34t + 59.4

N(3) = 2.97(3)² + 11.34(3) + 59.4

N(3) = 120.15 million.

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Complete Question:

The number of enterprise instant messaging (IM) accounts is projected to grow according to the function N(t) = 2.97t² + 11.34t + 59.4 (0 ≤ t ≤ 5), where N(t) is measured in millions and t in years, with t = 0 corresponding to 2006.

(a) How many enterprise IM accounts were there in 2006? million

(b) What was the expected number of enterprise IM accounts in 2009? million

Answer:

18.0

Step-by-step explanation:

==>Given:

Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°

==>Required:

Value of x to the nearest tenth

==>Solution:

Using the Cosine rule: c² = a² + b² - 2abcos(C)

Let c = x,

a = 16

b = 30

C = 30°

Thus,

c² = 16² + 30² - 2*16*30*cos 30°

c² = 256 + 900 - 960 * 0.8660

c² = 1,156 - 831.36

c² = 324.64

c = √324.64

c = 18.017769

x ≈ 18.0 (rounded to nearest tenth)

There is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To find the standardized test statistic (Z-score), we need to first calculate the sample mean and standard error of the mean.

Sample mean:

x = (17.8 + 21.1 + 19.7 + 9.5 + 18.5 + 13.2 + 13.6 + 10.7 + 19.1 + 7.5 + 11.3 + 7.6 + 21.8 + 9.2 + 21.6 + 9.8 + 19.3 + 21.9 + 22.6 + 15.5 + 12.4 + 9.5 + 14.9 + 7.7 + 12.9 + 17.6 + 14.1 + 19.4 + 17.1 + 17.3 + 15.4 + 22.5) / 32

x = 15.91875

Standard error of the mean:

SE = σ /√(n)

SE = 6.1 / √(32)

SE = 1.0823

Now we can calculate the Z-score:

Z = (x - μ) / SE

Z = (15.91875 - 13) / 1.0823

Z = 2.5707

we can find that the p-value associated with a Z-score of 2.5707 is approximately 0.0051.

Since the significance level (α) is 0.06, which is larger than the p-value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

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The radius of convergence is 0, and the interval of convergence is the single point x = 0.

To obtain the radius of convergence and interval of convergence of the series we can use the ratio test.

\(\[ \sum_{n=1}^{\infty} \frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1} \]\)

The ratio test states that if \(\( L = \lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| \)\), then the series converges if \(\( L < 1 \)\) and diverges if \(\( L > 1 \). If \( L = 1 \)\), the test is inconclusive.

Let's calculate the limit:

\(\[ L = \lim_{n \to \infty} \left| \frac{\frac{2 \cdot 4 \cdot 6 \cdots (2(n+1))}{3 \cdot 5 \cdot 7 \cdots (2(n+1)+1)}x^{2(n+1)+1}}{\frac{2 \cdot 4 \cdot 6 \cdots (2n)}{3 \cdot 5 \cdot 7 \cdots (2n+1)}x^{2n+1}} \right| \]\)

Simplifying the expression:

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)(2n+1)x^{2n+3}}{(2n+1)(2n)x^{2n+1}} \right| \]\)

\(\[ L = \lim_{n \to \infty} \left| \frac{(2n+2)x^2}{x^2} \right| \]\)

\(\[ L = \lim_{n \to \infty} 2(n+1) = \infty \]\\\)

Since the limit is infinity, the series diverges for all values of  x , except when x = 0 and hence the radius of convergence is 0, and the interval of convergence is the single point x = 0.

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Answer:its 4

Step-by-step explanation:

none

A regression model in which more than one independent variable is used to predict the dependent variable is called multiple linear regression.

Multiple linear regression refers to a statistical technique used to predict the outcome of one variable based on the values ​​of two or more variables. Sometimes simply called multiple regression, it is an extension of linear regression. The variable we want to predict is called the dependent variable, and the variables we use to predict the value of the dependent variable are called the independent or explanatory variables.

Multiple Linear Regression - Formula

Yi + β0 + β1xi1 + β2xi2 + βpxip + ∈

Where:

Yi​ is the dependent or predicted variable

β0 is the y-intercept, i.e., the value of y when both xi and x2 are 0.

β1 and β2 are the regression coefficients representing the change in y relative to a one-unit change in xi1 and xi2, respectively.

βp is the slope coefficient for each independent variable.

∈ is the model’s random error (residual) term.

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Set the right-hand side equal to zero to obtain the related homogeneous equation:

y'' − y' − 2y = 0

r2 - r - 2 = 0 is the characteristic equation.

The result of factoring this equation is (r - 2)(r + 1) = 0

The roots are therefore r = 2 and r = -1.

The homogeneous equation's general solution is the following:

y_h(t) equals c1*e(2t) plus c2*e(-t).

We need to identify a specific solution in order to discover the nonhomogeneous equation's general solution. The approach of indeterminate coefficients can be used to infer a form for a specific solution. We can speculate on a specific solution of the following kind because the polynomial on the right-hand side of the equation is of degree 2.

At2 + Bt + C = y_p(t)

Taking y_p(t)'s first and second derivatives, we obtain:

y_p'(t) equals 2At + B

y_p''(t) = 2A

When these expressions are substituted into the initial differential equation, we obtain:

-6t + 10t2 = 2A - (2At + B) - 2(At2 + Bt + C)

When we condense and group related terms, we get:

-6t + 10t2 = (-2A)t2 + (-2B-2A)t + (2A-B-2C)t

When like terms' coefficients are equated, we obtain:

-2A = 10, -2B - 2A = -6, 2A - B - 2C = 0

If we solve for A, B, and C, we obtain:

A = -5, B = 4, C = -11/4

The specific solution is thus:

y_p(t) = -5t^2 + 4t - 11/4

As a result, the following is the nonhomogeneous equation's general solution:

c1*e(2t) + c2*e(-t) - 5t2 + 4t - 11/4 are equivalent to y(t) = y_h(t) + y_p(t).

where the initial circumstances define the constants c1 and c2.

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For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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3 consecutive even integers adds up to 12

So, Let the numbers are :

so, the sum of the numbers = 12

so, the numbers are : 2 , 4 and 6

So, the greatest number = 6

In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.

Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.

It is given to us  that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we  can say that
dV/dt = -15 cubic inches per second

Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate  dh/dt
If h = 15 inches.

In order to find dh/dt,
we need to evaluate  dr/dt and place it in  equation for dV/dt.

Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.

Staging this into the equation for dV/dt,

-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)

Here simplification takes place


dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event  of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.


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Answer:

?

Step-by-step explanation:

?