Which expression is equivalent to (5^3)-2

Answer:

3x

Step-by-step explanation:

x = number of weeks.

When you plug in the number of weeks for x you'll get the amount of hours she had for dance classes.

Example: She has been doing classes for 3 weeks, how many hours did she do?

3x

3(3)

= 9(She had 9 hours of dance class combined for the past three weeks).

Answer:

(-2,3)

Step-by-step explanation:

we can describe the slant of the line as a steep and downward sloping line from left to right.

The formula for slope of a line passing through two points (x1, y1, z1) and (x2, y2, z2) is given by the following formula;Slope = (z2-z1)/(x2-x1).

We are supposed to use this formula to find the slope and then describe the slant of the line that connects the points.

Let's solve it accordingly;Given;Point 1 (x1, y1, z1) = (2, -1, 5) Point 2 (x2, y2, z2) = (-1, 4, 7)Slope = (z2-z1)/(x2-x1) = (7-5)/(-1-2) = 2/-3

Now, we are supposed to describe the slant of the line.

The slope of the line represents how steep or slant the line is.

For a slope of 2/-3, we can say that the line is steep and goes downwards from left to right side of the graph as it has a negative slope.

A slope of 1/2 would represent a shallow or gradual slope, while a slope of -2/3 would represent a steeper decline.

Therefore, we can describe the slant of the line as a steep and downward sloping line from left to right.

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The y - intercept indicates if hours spent on video games is zero, then the total hours spent on homework will be 23.

Given is the graph shows the relationship between hours spent on video games and hours spent on homework last week for students in Joyce's class.

The y - intercept indicates that if hours spent on video games is zero, then the total hours spent on homework will be 23.

Therefore, the y - intercept indicates if hours spent on video games is zero, then the total hours spent on homework will be 23.

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a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b² - 4ac = (-21)² - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x² - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

Answer:729

Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729

Answer: 138

Step-by-step explanation:

The maximum Number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

To find the maximum number of  scholars in each row, we need to determine the  topmost common divisor( GCD) of the total number of  scholars in each section. The GCD represents the largest number that divides all the given  figures unevenly.  

Given that there are 24, 36, and 60  scholars in the three sections, we can calculate the GCD as follows    Step 1 List the  high factors of each number  24 =  23 * 31  36 =  22 * 32  60 =  22 * 31 * 51    

Step 2 Identify the common  high factors among the three  figures  Common  high factors 22 * 31    Step 3 Multiply the common  high factors to find the GCD  GCD =  22 * 31 =  4 * 3 =  12  

 thus, the maximum number of  scholars in each row is 12. This means that the  scholars can be arranged in rows with an equal number of  scholars, and each row can have a  outside of 12  scholars.

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Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

The lines given, based on the picture, can be said to be skew.

Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result.

Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. These lines go on forever in both directions.

The picture shows lines on steps. These steps therefore exist on different planes but are not parallel. They must therefore be skew.

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Answer:

Step-by-step explanation:

150/50 using rise over run for the slope

The slope is 3 meaning for every pound the handling fee goes up in 3 dollars

Answer:

x1= 79, x2= -83

Step-by-step explanation:

seperate into 2 possible cases

x+2=81

x+2= -81

subtract 2 from both sides

x= 79

x= -83

The equation remains unchanged when we replace θ with -θ.

To determine the symmetry of the graph of the polar equation r² = 3 cos(70), we can substitute -θ for θ and observe the resulting equation.

When we substitute -θ for θ in the given equation, we have:

r² = 3 cos(-70)

Since cosine is an even function (cos(-θ) = cos(θ)), the equation becomes:

r² = 3 cos(70)

This implies that the graph of the polar equation r² = 3 cos(70) is symmetric with respect to the y-axis.

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To construct a 98% confidence interval, we need the t value with a degree of freedom 49 corresponding to an area of 2.02% upper tail.

In statistics, a confidence interval is a range of values that is likely to contain an unknown population parameter with a certain level of confidence. The level of confidence is represented by a percentage value, such as 90%, 95%, or 98%. To construct a confidence interval, we need to determine the appropriate critical value from the t-distribution table, based on the sample size and the desired level of confidence.

The critical value corresponds to the number of standard errors that need to be added or subtracted from the sample mean to obtain the confidence interval.

For a 98% confidence level with 49 degrees of freedom, the critical value is 2.68. The upper tail area corresponding to this value is 1% + 0.99% + 0.01% + 0.02% = 2.02% since the t-distribution is symmetric.

Therefore, to construct a 98% confidence interval, we need to multiply the standard error by 2.68 and add and subtract the resulting values from the sample mean.

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The value of the given expression is - 53.55

\(5 \frac{1}{4}( - 10.2) \\ \)

The bracket implies multiplication :

Hence,

\(5 \frac{1}{4}( - 10.2) \\ \) = \(5 \frac{1}{4}\times - 10.2

Converting the fraction to improper :

\( \frac{21}{4} \times - 10.2\)

Then, to decimal :

\(5.25 \times - 10.2 = - 53.55\)

Hence, the value of the expression is - 53.55

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Answer: Simplify:

"The sum of m and 3" => m + 3

"[the whole] divided by" => (m + 3)/

"The difference of m minus 3" => m - 3

(m + 3)/(m - 3) is your answer

Answer:

39.30°

Step-by-step explanation:

In ∆ KLM :-

Answer:

an arithmetic sequence or a linear function.

Step-by-step explanation:

he has $100 and ADDS $20 each month. in arithmetic sequences we have a value for a sub 1 in this case 100, then add the rate of change or in this case 20 times the months or d. Since this function follows the rules this is an arithmetic sequence.

y=mx+c

let y be the amount of money he has in his banking account,

let x be months.

let m be 20 because that is what he adds per month or per x.

let c be the starting value or 100.

y=20x+100

the equation of the tangent line is y = -46x + 166.

To find the slope of the tangent line to the graph of the function at the given value of x, we need to take the derivative of the function and evaluate it at x = 1.

Differentiate the function f(x) = x^4 - 25x^2 + 144 with respect to x:

f'(x) = 4x^3 - 50x

Evaluate the derivative at x = 1:

f'(1) = 4(1)^3 - 50(1) = 4 - 50 = -46

So, the slope of the tangent line is -46.

To find the equation of the tangent line, we can use the point-slope form of a linear equation. We have the point (1, f(1)) on the tangent line, and we know the slope is -46.

Find the value of f(1):

f(1) = (1)^4 - 25(1)^2 + 144 = 1 - 25 + 144 = 120

Use the point-slope form with the point (1, 120) and slope -46:

y - y1 = m(x - x1)

y - 120 = -46(x - 1)

y - 120 = -46x + 46

y = -46x + 166

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The rate of discount is approximately 6.4%.

Given that, the purchase at the store "Tias" come to $428.85 before any discounts and before any taxes.

The total price after a discount and taxes of 13% was $452.98.

The formula to find out the rate of discount is `tag=(1+r*t)(1-r*j)*p`, where `tag` is the total price after a discount and taxes, `p` is the initial price, `r` is the rate of discount, `t` is the tax rate, and `j` is the rate of tax.

So we can say that `452.98=(1-r*0.13)(1+r*0)*428.85`

On solving, we get, `r≈6.4%`

Hence, the rate of discount is approximately 6.4%.

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Answer:

070⁰

145⁰

234⁰

Step-by-step explanation:

it's 3 digit so we need to change 70 to 070

Answer:

The average rate of change of the function is 22.

Step-by-step explanation:

The given function is :

\(f(x)=x^4-5x\)

We need to find the average rate of change of the function on the closed interval (0, 3).

The average rate of change of a function in interval (a,b) is given by :

\(R=\dfrac{f(b)-f(a)}{b-a}\)

Here, a = 0 and b = 3

\(R=\dfrac{(3^4-5(3))-(0^4-5(0))}{3-0}\\\\=\dfrac{66}{3}\\\\=22\)

So, the average rate of change of the function is 22.

Answer:

22

Step-by-step explanation:

(f(3)-f(0))/3

=66/3

=22

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

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complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

Answer:

Comprobar explicación

Check Explanation

Step-by-step explanation:

Los números negativos son números menores que 0. Son muy importantes en la naturaleza y en cualquier trato con los números. Por lo general, se escriben con un signo menos delante de ellos.

Las situaciones en las que el uso de números negativos son absolutamente necesarios incluyen

1) En los negocios, los números negativos se utilizan para indicar la deuda y la salida de efectivo.

2) En los circuitos eléctricos, se usan números negativos para describir el voltaje nominal cuando se invierten las polaridades de la batería.

3) En mediciones de temperatura para indicar temperaturas inferiores al punto de congelación del agua, especialmente en la escala Celsius (0°C).

4) Para indicar profundidades debajo del nivel del mar. El nivel del mar generalmente se designa como nivel 0 en términos de elevación.

5) En la numeración de los pisos debajo de la planta baja para un edificio alto.

6) En el análisis económico general, se utilizan para indicar una disminución de la economía, el PIB del país o un déficit en el presupuesto.

- En el análisis matemático general, los cálculos y las manipulaciones, los números negativos se usan ampliamente y son muy importantes.

- En química, los números negativos se utilizan para indicar la carga en los aniones (iones negativos).

¡¡¡Espero que esto ayude!!!

English Translation

6 situations in which the use of negative numbers is necessary.

Solution

Negative numbers are numbers that are lesser than 0. They are very important in nature and in any dealings with numbers. They are usually written with a minus sign in front of them.

The situations in which the use of negative numbers are absolutely necessary include

1) In business, negative numbers are used to indicate debt and outflow of cash.

2) In electrical circuits, negative numbers are used to describe the rated voltage when the polarities of the battery are reversed.

3) In temperature measurements to indicate temperatures lesser than the freezing point of water especially on the Celsius scale (0°C).

4)To indicate depths below the sea level. The sea level is usually designated to be 0 level in terms of elevation.

5) In the numbering of the floors below the ground floor for a tall building.

6) In general economic analysis, they are used to indicate a decline in the economy, country's GDP or deficit in budget.

- In general mathematical analysis, calculations and manipulations, negative numbers are used very extensively and are very important.

- In chemistry, negative numbers are used to indicate the charge on anions (negative ions).

Hope this Helps!!!

Answer:

- 7x + 10 + y² + 7 y

Step-by-step explanation:

Hope this will help

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

Answer:

\(m=6\)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 5)

Point (0, -1)

Step 2: Find slope m

Answer:

maybe option no C is correct .

I did in my copy and ans was 5 .

Step-by-step explanation:

its 5 and this the correct answer