What is T6 in exponential form?
6
DONE

Answer:

Step-by-step explanation:If Jeannette paid the full amount for both children to go to school, what was her total expense for tuition and fees for 1 year? 108. Clyde and Mason each leave a rest area on the Florida Turnpike. Clyde travels north and Mason travels south. After 2 hr, Clyde has gone 138 mi and Mason, who ran into heavy traffic, traveled only 96 mi.

Answer:

the answer is b ( if im wrong im sorry)

Step-by-step explanation:

The center of the face of a cube is the midpoint of the face and lies along the line that runs between the opposite vertices of the face.

This is the point of intersection of the two diagonals in a face. In other words, it is the point that is equidistant from all four corners of the face.

To visualize this, imagine dividing the face into four equal triangles by drawing lines from each corner to the center. The center of the face is at the intersection of these lines.

In three-dimensional space, the center of the face of a cube is also the center of the cube itself, as all faces of a cube are congruent (the same shape and size) and meet at the center of the cube.

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Answer:

Isiah Thomas

Step-by-step explanation:

I amazing fact

Answer:

the correct answer is 4

Step-by-step explanation:

yea sorry i don’t know step-by-step

Answer: 79.2!!!!!!!!!

Step-by-step explanation:

If you are here from delta math this is the answer

The null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

The null hypothesis is that two possibilities are the same. The null hypothesis is that the observed difference is due to chance alone.

A type I error occurs if an investigator rejects a null hypothesis that is actually true in the population.
Hence, the null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

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Triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

A triangular prism is a polyhedron that is made up of triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges to the vertex.

Some properties of a triangular prism:

Thus, triangular prism is an example of a solid from which a triangular, hexagonal, and trapezoidal cross-section can be formed.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

\(2x + 2 = 5x - 4 \\ 2x - 5x = - 4 - 2 \\ - 3x = - 6 \\ x = \frac{ - 6}{ - 3} \\ x = 2\)

In the book "The Alchemist" by Paulo Coelho, when the owner of the crystal shop tells Santiago how expensive it is to get to Egypt, Santiago responds by saying that he wants money to buy some sheep.

Santiago explains that he was a shepherd before he started his journey to find his Personal Legend, and that he wants to buy some sheep so that he can continue pursuing his dream. He believes that he can eventually save enough money from selling the wool to fund his journey to Egypt.

The owner of the crystal shop is initially surprised that Santiago would abandon his quest for treasure to buy sheep, but ultimately gives him the money he needs to buy them.

After the owner of the crystal shop tells Santiago how expensive it is to get to Egypt, Santiago says he wants money for a ticket to Africa.

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The bracket should be placed 40 inches away from the vertex (0,0) looking at the equation y=1/160x^2 models a solar cooker.

The equation with a vertex is : y = ax²

We know that the focus of a parabola is normally at the point (h, k + p), where (h, k) is the vertex of the  parabola  and 'p' is the distance between the vertex and the focus.  

Since the vertex at the origin is  (0,0), the parabolic equation then becomes;

y = (1/4p)x²

1/4p = 1/160

4p = 160

p = 160 ÷ 4

p = 40

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Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.

When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:

Representation:

An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.

Communication of Information:

Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.

Variables:

Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.

Visualization:

Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.

Flexibility:

Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.

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If the "fitted-line" has a slope of 8.42, then the correct interpretation is (c) On average, each 1 million dollar increase in salary is linked with 8.42 point increase in the "winning-percentage".

The "Slope" of the "fitted-line" represents the change in the response variable (winning percentage) for each unit increase in the predictor variable (salary of head coach, in millions of dollars).

In this case, the slope is 8.42, which means that on average, for every 1 million dollar increase in salary, there is an associated increase of 8.42 points in winning percentage.

Therefore, Option (c) is the correct interpretation of slope.

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The given question is incomplete, the complete question is

Abigail gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years 2000-2011. She then created the following scatterplot and regression line.

The fitted line has a slope of 8.42.

What is the best interpretation of this slope?

(a) A school whose head coach has a salary of $0, would have a winning percentage of 8.42%,

(b) A school whose head coach has a salary of $0, would have a winning percentage of 40%,

(c) On average, each 1 million dollar increase in salary was associated with an 8.42 point increase in winning percentage,

(d) On average, each 1 point increase in winning percentage was associated with an 8.42 million dollar increase in salary.

If the Johnson family farm has 525 corn plants, which are all arranged in rows and the number of plants in each row is 4 less than the number of rows, then the number of rows of corn plants on the farm is 29.

To find the number of rows of corn plants, follow these steps:

1. Let's denote the number of rows as x. The number of plants in each row will be x - 4.

2. The total number of corn plants on the farm is given as 525. Hence, we can form an equation using the given information. It will be: x(x - 4) = 525 ⇒ x² - 4x - 525 = 0

3. To solve for x, we can use the quadratic formula: \(\\ x=\frac{-b±\sqrt{b^{2} -4ac}}{2a} } \\\)Here, a = 1, b = -4, and c = -525. Plugging these values into the formula, we get: x = (-(-4))± √((-4)² - 4(1)(-525))/2(1) ⇒ x = (4 ± √(2104))/2

4. Thus, we have two solutions: x = 29 or x = -18. However, we cannot have a negative number of rows. Therefore, the number of rows of corn plants on the farm is 29.

The number of rows of corn plants on the farm is 29.

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Answer:

\(y=-x+9\)

Step-by-step explanation:

This is asking you to write the equation in slope-intercept form:

\(y=mx+b\)

where:

You need to find the slope of the two given points using:

\((x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope\)

Insert the values:

\((4_{x_{1}},5_{y_{1}})\\\\(-6_{x_{2}},15_{y_{2}})\\\\\frac{15-5}{-6-4} =\frac{10}{-10} =-\frac{10}{10} =-1\)

The slope of the given line is -1. Insert this value into the equation:

\(y=-1x+b\\\\y=-x+b\)

Now insert one of the given coordinate points as x and y to solve for b:

\((4_{x},5_{y})\\\\5=-4+b\\\\5+4=-4+4+b\\\\9=b\)

The y-intercept is 9. Insert the value:

\(y=-x+9\)

:Done

The code creates a scatter plot of the "gamble" variable on the "income" variable, with different plotting symbols based on sex, using the "faraway" package in R.

Here's the code to make a plot of the "gamble" variable on the "income" variable using different plotting symbols based on the sex in R:

# Load the required package and data

library(faraway)

data(teengamb)

# Create a plot of a gamble on income with different symbols for each sex

plot(income ~ gamble, data = teengamb, pch = ifelse(sex == "M", 16, 17),

    xlab = "Gamble", ylab = "Income", main = "Gamble on Income by Sex")

legend("topleft", legend = c("Female", "Male"), pch = c(17, 16), bty = "n")

This code will create a scatter plot where the "income" variable is plotted against the "gamble" variable. The plotting symbols used will be different depending on the "sex" variable.

Females will be represented by an open circle (pch = 17), and males will be represented by a closed circle (pch = 16). The legend will indicate the corresponding symbols for each sex.

Make sure to have the "faraway" package installed in R and load it using 'library'(faraway) before running this code.

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The required, expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

To find the value of b in the expression (3 + 4i)^2, we can simply expand the expression and identify the coefficient of the imaginary part.

(3 + 4i)² = (3 + 4i)(3 + 4i)

Using the FOIL method, we can multiply the terms:

= 3 * 3 + 3 * 4i + 4i * 3 + 4i * 4i

= 9 + 12i + 12i + 16i²

Since i² is defined as -1, we can substitute it:

= 9 + 12i + 12i - 16

= -7 + 24i

Comparing the expression -7 + 24i with the form a + bi, we can see that the value of b is 24.

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Complete question:

(3+4i)²

if the expression above is written in the form a+ bi, where a and b are real numbers, what is the value of b?

(a) To find the probability that X is greater than 37, we use the cumulative standardized normal distribution table. First, we standardize the value by finding the z-score:

z = (37 - μ) / σ = (37 - 46) / 5 = -1.8

Using the table, we find the probability corresponding to the z-score of -1.8, which is 0.0359. However, we are interested in the probability that X is greater than 37, so we subtract this value from 1 to get 1 - 0.0359 = 0.9641.

(b) To find the probability that X is less than 41, we again standardize the value:

z = (41 - μ) / σ = (41 - 46) / 5 = -1.0

Using the table, we find the probability corresponding to the z-score of -1.0, which is 0.1587.

(c) To determine the X-value for which 9% of the values are less than, we need to find the corresponding z-score. We can use the inverse of the cumulative standardized normal distribution table to find the z-score that corresponds to a cumulative probability of 0.09. The z-score corresponding to a cumulative probability of 0.09 is approximately -1.34. We can then find the X-value by rearranging the formula for the z-score:

X = μ + (z * σ) = 46 + (-1.34 * 5) = 39.3

Rounding to the nearest integer, the X-value is 39.

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Step-by-step explanation:

1 problem = 1 min 20 sec = 80 seconds

6 problems = 80 * 6 = 480 seconds = 8 min.

It will take Jeremy 8 minutes.

a) The arrow diagram for given function g can be represented as below. b)  g(A) = {a}, g(X) = {a, d}, g⁻¹(C) = {1, 2, 3}, g⁻¹(D) = {4}, and g⁻¹(Y) = {1, 2, 3, 4}.

a) The arrow diagram for g can be represented as follows

1 ---> a

2 ---> a

3 ---> a

4 ---> d

(b) For the given function g

g(A) is the image of set A under function g. In this case, g(A) = {a}.

g(X) is the image of the entire set X under function g. In this case, g(X) = {a, d}.

g⁻¹(C) is the preimage of set C under function g. In this case, g⁻¹(C) = {1, 2, 3}.

g⁻¹(D) is the preimage of set D under function g. In this case, g⁻¹(D) = {4}.

g⁻¹(Y) is the preimage of the entire set Y under function g. In this case, g⁻¹(Y) = {1, 2, 3, 4}.

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Answer:

$6.5 dollars

Step-by-step explanation:

We can make an equation to find out the original total.

2y+4=17

(subtract 4 from both sides)

2y=13

(divide by 2)

y=6.5

Hope this helped :D

Answer:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

To the nearest 10 is 300 - 298

To the nearest 100 is 500 - 549

To the nearest 100 is 700 - 698

The slope intercept form of the equation is y = -1/3 x - 13/3

What is an equation of a line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line in the coordinate axis as a set of variables, x, and y.

Given equation of the line is y = 3x - 5 .

Compare the equation with y = mx + c

m = 3 and c = -5

The slope of the line that perpendicular to the given line is - 1/m = - 1/3

The equation of line that passes through the point (x₁, y₁)  with slope m is y -  y₁ = m (x - x₁).

Given point is (8,-7).

Putting m = - 1/3, x₁ = 8, y₁ = -7 in y -  y₁ = m (x - x₁):

y -  (-7) =  - 1/3 (x - 8)

Rewrite the above equation in the form y = mx + c:

y + 7 = -1/3 m + 8/3

Subtract 7 from both sides:

y  = -1/3 m + 8/3 - 7

y  = -1/3 m - 13/3

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The probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

To find the probability of selecting an anglerfish on the next card, we need to calculate the ratio of the number of anglerfish cards to the total number of cards in the deck.

From the given information, Scarlett selected 2 anglerfish cards during her previous selections.

The total number of cards she selected is 2 + 3 + 1 + 4 + 5 = 15.

Therefore, the probability of selecting an anglerfish card on the next draw is 2/15.

Calculate the total number of cards Scarlett selected.

2 + 3 + 1 + 4 + 5 = 1

Calculate the number of anglerfish cards Scarlett selected.

Scarlett selected 2 anglerfish cards.

Calculate the probability of selecting an anglerfish card on the next draw.

Probability = Number of anglerfish cards / Total number of cards

Probability = 2 / 15

Probability ≈ 0.1333

Thus, the probability that the next card Scarlett selects will have an anglerfish on it is 2/15, or approximately 0.1333.

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The effective mass on the opposite end of the lever is 4 kg and distance is given, which is incorrect as option D is 25 kg otherwise all option is correct .

In the given scenario, a 2 kg mass is placed at the end of a lever, which is 20 cm from the pivoting point. If the mass is transferred to the other side of the lever, which is 10 cm from the pivot,

Let's find out.The effective mass on the opposite end of the lever can be found using the following formula:

= Mass × distance of its center of gravity from the pivot

Let M be the effective mass that we have to find. Then, we have:

2 kg × 20 cm

= M × 10 cm40 cm

= 10 M4

= MM

= 4

Therefore, the effective mass is 4 kg. Hence, option D. 25 kg is incorrect as the effective mass is 4 kg.

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Answer:

After 15 years the population will be 7,625

Step-by-step explanation:

3.5% of 5,000 = 175

175 x 15 = 2625

2625 + 5,000 = 7625

The population after 15 years should be  8,376

Since the population is 5,000 and it grows 3.5 years and the time period is 15 years

So, the population after 15 years is

\(= 5,000 \times (1 + 3.5\%)^{15}\\\\\)

= 8,376

Therefore, we can conclude that The population after 15 years should be  8,376

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The polynomial \(3x^2+x-6x+3\) is a prime polynomial because it is not reducible or does not have factors.

Given polynomials are:

\(1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3\)

A polynomial not having more than one factor is called a prime polynomial.

Factors of the first polynomial are \((x^2-1),(x^2+3)\)

Factors of the second polynomial are \((x^2-1),(x^2-3)\)

Factors of the third polynomial are \((x-2) (3x+1)\)

There are no factors of the fourth polynomial so this is a prime polynomial.

Therefore, the polynomial \(3x^2+x-6x+3\) is a prime polynomial.

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Answer:

First one is the correct answer!!

Step-by-step explanation: