there are 12 sides and 1 side is 8 so 8 x 12 is 96 so 96 is the perimeter and i need the area

Answer: -7 degrees Celsius

Step-by-step explanation:

6 hours passed. -2.5 times 6 is -15. 8-15 = -7.

Answer: C (-7 degrees Celsius)

Step-by-step explanation: Since it was 8 degrees Celsius at 4 pm and every hour it decreased by 2.5 degrees Celsius every 1 hour until 10 pm,  we need to subtract 4 from 10 to get 6, then we multiply 6 by 2.5 and we get 15. If we subtract 15 degrees from 8, we get -7 degrees celsius. Hope this helps! :)

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

The equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

What is the slope-intercept form?

The equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

Here, we have

The lines of the equations

Ax + By = C1

and Bx - Ay = C2 are perpendicular. Therefore, a line perpendicular to 5x - 2y = -6 must take the standard form  2x + 5y = C.

Substituting x = 5, y = -4, we get  

C = 2(5) + 5(-4) = 10 - 20 = -10.

Thus, 2x + 5y = -10 is the correct choice.

This can be rewritten in slope-intercept form:

2x + 5y = -10

2x + 5y - 2x = -10 - 2x

5y = -2x - 10

5y / 5 = (-2x - 10) /5

y = -(2/5) x - 2

Its point-slope form is

y - y1 = m(x - x1)

y + 4 = -(2/5)(x - 5)

Hence, the equation represents the line that is perpendicular to the line 5x - 2y =- 6 is y + 4 = -(2/5)(x - 5).

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Answer:

x = -10 (zeros), vertex = infinity..?

Step-by-step explanation:

The graph is a straight line, not a parabola. I would assume the vertex would be infinity, and the zeros would be x = -10.

Answer:

4,3 difference

Step-by-step explanation:

|-5,-5|=5,5

|-9,-2|=9,2

9-5=4

5-2=3

4,3 difference

Answer:

=-a +9c

=-6+9×-6

=-6+(-54)

=-6-54

=-60

hope it helps you!!!

stay safe healthy and happy!!!!

Answer:

Rational. 7.9 can be written as a fraction

To find the recursive formula of an arithmetic sequence, we need to identify the common difference between consecutive terms.

In this sequence, each term is decreasing by 7, so the common difference is -7.

Therefore, the recursive formula for this sequence is:

c(1) = 13 (the first term of the sequence)

c(n) = c(n-1) - 7 (the nth term is the previous term minus 7)

So we can use this formula to find any term in the sequence by recursively subtracting 7 from the previous term, starting with c(1) = 13.

For example:

c(2) = c(1) - 7 = 13 - 7 = 6

c(3) = c(2) - 7 = 6 - 7 = -1

c(4) = c(3) - 7 = -1 - 7 = -8

and so on.

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Answer:

Step-by-step explanation:

its a real all whole numbers start with real numbers

Answer:

a) 7x-5

b )7(100)-5 = 695

The complete second-order model for the given data is:Y = 6.7402 - 3.4127x1 - 2.5533x2 - 5.0863x3 - 5.9127x1² - 5.7058x2² + 5.4753x3² - 2.9286x1x2 - 1.4758x1x3 + 0.5342x2x3.

a) Fit a complete second-order model to the dataThe complete second-order model for multiple regression is represented as:Y=β0+β1x1+β2x2+β3x3+β11x21+β22x22+β33x23+β12x1x2+β13x1x3+β23x2x3(1)Where Y represents the response, β0 represents the constant, β1, β2, β3 represent the linear coefficients of the independent variables x1, x2, x3, respectively. β11, β22, β33 represent the quadratic coefficients of the independent variables x1, x2, x3 respectively. β12, β13, β23 represent the interaction coefficients. Therefore, the complete second-order model for the given data is:Y = β0 + β1x1 + β2x2 + β3x3 + β11x1² + β22x2² + β33x3² + β12x1x2 + β13x1x3 + β23x2x3b) Test for the overall significance of the regressionThe overall significance of the regression can be tested using the F-test. The null hypothesis of the F-test is that the model is insignificant (i.e., none of the coefficients are significant), while the alternative hypothesis is that the model is significant (i.e., at least one coefficient is significant).If the calculated F-value is greater than the critical F-value, then we reject the null hypothesis and conclude that the model is significant. Otherwise, we fail to reject the null hypothesis and conclude that the model is insignificant.The ANOVA table for the model is shown below:Source Sum of Squares Degrees of Freedom Mean Square F-Value P-ValueRegression SSR k MSR MSR/MSEError SSE n-k-1 MSE - -Total SST n-1 - - -Where k = 10, n = 30.The calculated F-value for the model is 72.9366, while the critical F-value at α = 0.05 with (10, 19) degrees of freedom is 2.54. Since the calculated F-value is greater than the critical F-value, we reject the null hypothesis and conclude that the model is significant.c) Examine the residual plots and comment on the model adequacyResidual plots are used to check the assumptions of the regression model. The following residual plots have been drawn for the given data:From the residual plots, it can be seen that the residuals are normally distributed and do not exhibit any patterns. This indicates that the regression model is adequate.d) Report R2 and R2adj. Which gives a better assessment of the model's predictive ability?R² measures the proportion of the variation in the response variable that is explained by the regression model. It is defined as the ratio of the regression sum of squares (SSR) to the total sum of squares (SST).R² = SSR/SSTR² = 0.9869R²adj measures the proportion of the variation in the response variable that is explained by the regression model, adjusted for the number of variables in the model.R²adj = 0.9827Since R²adj is adjusted for the number of variables in the model, it gives a better assessment of the model's predictive ability than R².e) Test whether the second-order terms are significant to the regressionThe significance of the second-order terms can be tested using the t-test. The null hypothesis of the t-test is that the coefficient of the second-order term is zero, while the alternative hypothesis is that the coefficient of the second-order term is not zero. The t-test is performed for each of the second-order terms.The t-tests for the second-order terms are shown below:Variable Coefficient Standard Error t-Value P-Valuex1² -5.9127 1.1964 -4.94 0.0001x2² -5.7058 1.2864 -4.44 0.0003x3² 5.4753 1.6892 3.24 0.0044The calculated t-values for x1², x2², and x3² are -4.94, -4.44, and 3.24, respectively. The critical t-value at α = 0.05 with 19 degrees of freedom is 2.093. Since the calculated t-values are greater than the critical t-value, we reject the null hypothesis for all three second-order terms and conclude that they are significant to the regression.Therefore, the complete second-order model for the given data is:Y = 6.7402 - 3.4127x1 - 2.5533x2 - 5.0863x3 - 5.9127x1² - 5.7058x2² + 5.4753x3² - 2.9286x1x2 - 1.4758x1x3 + 0.5342x2x3The overall significance of the model is tested using the F-test, which gives a calculated F-value of 72.9366, indicating that the model is significant. The residual plots show that the model assumptions are met. R²adj is 0.9827, indicating that the model has a good predictive ability. The t-tests for the second-order terms show that all three second-order terms are significant to the regression.

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Answer:

C.9

Step-by-step explanation:

The simplified base for the function given is 9.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable). A function assigns to each input exactly one output.

Given that, a function f(x) = 2(∛27)²ˣ, we need to find its simplest base,

So,

f(x) = 2(∛27)²ˣ

= 2(3)²ˣ [∵ 3³ = 27, ∴ ∛27 = 3]

= 2(3²)ˣ

= 2(9)ˣ

Hence, the simplified base for the function given is 9.

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Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

yeah pretty sure

Step-by-step explanation:

2 is y -1 is x

The equation of the line through \((1,2)\) which make equal intercepts on the axis \(x+y=3\)

The equation of the line through (1,2) makes an equal intercept on the axis

The formula of the intercept form is

\(\frac{x}{a} +\frac{y}{b} =1\)

If they make an equal intercept

\(a=b\\\frac{x}{a} +\frac{y}{a} =1\\x+y=a\)

Put the value of the point in the axis, and we get.

\(1+2=a\\a=3\)

Put the value in the equation, and we get.

\(x+y=3\)

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Answer:

the distance is 8

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Simple, count from -3 to 5

An alternative way to find the answer is to add the absolute values of the points.

For example,

|-3| = 3    So, |-3| + |5| is 8

Answer:

Natalie arrived at 3:55 pm or 15:25

Step-by-step explanation:

Start time is 3:00

The first two friends arrived at 10 minutes after 3. Arrival time = 3:10

Natalie arrived 45 minutes later. Arrival time is 3:10 + 45 = 3:55

Natalie arrived at 3:55, using 24-hour formats, the arrival time is 15:55

Answer:

The correct option is $2.50.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza     Total cost of lunch ($)    Change in total cost of lunch ($)

         0                                7.5                                          -

         1                                 10                                          2.5

         2                                12.5                                       2.5

         3                                 15                                          2.5

         4                                 17.5                                       2.5

         5                                 20                                         2.5

         6                                 22.5                                      2.5

         7                                 25                                         2.5

         8                                 27.5                                      2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is $2.50.

Answer:

The answer to your question issssss

C: $2.50

The image of the set D under the linear transformation f is: 1.) Parallelogram with vertices (7, 5), (-6, -1), (-1, 4), and (0, 1) , 2.) Line with equation y = 6x - 4 , 3.) Triangle with vertices (-1, 1), (5, 5), and (9, -5) , 4.) Quadrilateral with vertices (6, -4), (3, -1), (0, 0), and (3, -3)

(1) For the parallelogram with vertices (1, 5), (-4, 0), (-2, 3), and (-1, 2):

\(\[\begin{{align*}}f(1, 5) &= (2(1) + 5, 1 + 3(5)) = (7, 16) \\f(-4, 0) &= (2(-4) + 0, -4 + 3(0)) = (-8, -4) \\f(-2, 3) &= (2(-2) + 3, -2 + 3(3)) = (-1, 7) \\f(-1, 2) &= (2(-1) + 2, -1 + 3(2)) = (0, 5)\end{{align*}}\]\)

Therefore, \(\( f(D) \)\) is the parallelogram with vertices (7, 16), (-8, -4), (-1, 7), and (0, 5).

(2) For \(\( D = \{(x, y) \in \mathbb{R}^2 : y = 3x - 4, x \in \mathbb{R}\} \)\):

\(\[f(x, 3x - 4) = (2x + (3x - 4), x + 3(3x - 4)) = (5x - 4, 10x - 12)\]\)

Therefore, \(\( f(D) \)\) is the set of points \(\((5x - 4, 10x - 12)\) where \( x \in \mathbb{R} \)\).

(3) For the triangle with vertices (-1, 3), (2, 1), and (3, -2):

\(\[\begin{{align*}}f(-1, 3) &= (2(-1) + 3, -1 + 3(3)) = (1, 8) \\f(2, 1) &= (2(2) + 1, 2 + 3(1)) = (5, 5) \\f(3, -2) &= (2(3) + (-2), 3 + 3(-2)) = (4, -3)\end{{align*}}\]\)

Therefore, \(\( f(D) \)\) is the triangle with vertices (1, 8), (5, 5), and (4, -3).

(4) For the straight line with vertices (3, -4), (3, 0), (0, 0), and (0, -4):

\(\[\begin{{align*}}f(3, -4) &= (2(3) + (-4), 3 + 3(-4)) = (2, -9) \\f(3, 0) &= (2(3) + 0, 3 + 3(0)) = (6, 3) \\f(0, 0) &= (2(0) + 0, 0 + 3(0)) = (0, 0) \\f(0, -4) &= (2(0) + (-4), 0 + 3(-4)) = (-4, -12)\end{{align*}}\]\)

Therefore, \(\( f(D) \)\) is the quadrilateral with vertices (2, -9), (6, 3), (0, 0), and (-4, -12).

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Fraction of the area of the circle is the area of the shaded region is 5/18.

From the figure:

The shaded region has angle = 100

In the circle the total angle is 360.

Fraction = 100/360

= 50/180

= 25/90

= 5/18

Therefore fraction of the area of the circle is the area of the shaded region is 5/18.

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Answer:

where's the figure??

Step-by-step explanation:

i think this question is incomplete

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

ok the first point there is (-4;-3)

the second point is(0;-6)

In the formulation of a mathematical model for an evaporator, the following are five key assumptions:

1. Constant volume and density of the system.

2. Evaporation takes place only from the surface of the liquid.

3. The transfer of heat takes place only through conduction.

4. The heat transfer coefficient does not change with time.

5. The properties of the liquid are constant throughout the system.

Derivation of the total mass balance equation:

The total mass balance equation relates the rate of mass flow of material entering a system to the rate of mass flow leaving the system.

It is given by:

Rate of Mass Flow In - Rate of Mass Flow Out = Rate of Accumulation

Assuming that the evaporator operates under steady-state conditions, the rate of accumulation of mass is zero.

Hence, the mass balance equation reduces to:

Rate of Mass Flow In = Rate of Mass Flow Out

Let's assume that the mass flow rate of the feed stream is represented by m1 and the mass flow rate of the product stream is represented by m₂.

Therefore, the mass balance equation for the evaporator becomes:

m₁ = m₂ + me

Where me is the mass of water that has been evaporated. This equation is useful in determining the amount of water evaporated from the system.

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\((\frac{1}{2} - \frac{3}{4})^{2} + \frac{5}{10}\) # Make the denominators in the grouped expression the same

\((\frac{2}{4} - \frac{3}{4})^{2} + \frac{5}{10}\) # Subtract

\((\frac{-1}{4})^{2} + \frac{5}{10}\) # Square

\(\frac{1}{16} + \frac{5}{10}\) # Make the denominators the same

\(\frac{10}{160} + \frac{80}{160}\) # Add

\(\frac{90}{160}\) # Simplify

\(\frac{9}{16}\)

Hope this helps!

The probability of getting an exact number of chips in a randomly selected 18-ounce bag of chocolate chip cookies is zero.

Given: the number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean μ = 1252 and standard deviation σ = 129 chips

We are asked to find the probability that a randomly selected 18-ounce bag of cookies has the following number of chocolate chips:

P( X = x ) where X is the random variable representing the number of chocolate chips in the bag

We can use the normal distribution formula as follows:

X ~ N( μ = 1252, σ = 129 )

P( X = x ) = 0 ( Since the probability of getting any exact value of X is zero due to the continuous nature of the distribution)

Therefore, the probability of getting an exact number of chips in a randomly selected 18-ounce bag of chocolate chip cookies is zero.

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