2(x+3) = 5x + 6 - 3x is it true or false

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.

b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,

m = (y2 - y1) / (x2 - x1).

where x1,y1 and x2,y2 are two distinct points on the graph.

Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.

Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b

c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).

Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.

Step-by-step explanation:

Answer:

117/(x-2)

Step-by-step explanation:

Symbolab

Answer:

\(y-0=-7(x-4)\)

Step-by-step explanation:

Equation of a line

The point-slope form of the equation of a line is:

\(y-k=m(x-h)\)

Where m is the slope and (h,k) is a point through which the line passes.

The line passes through the point (4,0) and has a slope of -7. The equation of the line is:

\(y-0=-7(x-4)\)

This is the point-slope form of the line.

CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Answer:

solid boundary line: y = -1/2 x + 4

shaded area: y ≥ -1/2 x + 4   and    y < x+1

Step-by-step explanation:

solid boundary line pass (0,4) (2,3)

slope (m) = (3-4) / (2-0) = -1/2

y intercept (b) = 4

equation: y = mx + b        y = -1/2 x + 4

system: y ≥ -1/2 x + 4

dotted line: (0,1) (2,3)

m = (3-1) / (2-0) = 1

b = 1

equation: y = x + 1

system: y < x+1

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

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ok

0 is the smallest value or X is the smallest value

x=8

Explanation:

the opposite side is 72, which means I have to make 9x end up equaling 72.

72÷9

////

72/9

=8

9×8=72

Therefore

the value of x is 8.

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

\(\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988\)

The combined proportion is:

\(\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989\)

(a)

The hypothesis is:

H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.

Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.

Compute the test statistic as follows:

\(Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}\)

   \(=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78\)

Compute the p-value as follows:

\(p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075\)

The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of z for 99% confidence level is 2.58.

\(CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}\)

     \(=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\\)

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.

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The quotient of 874 and 23 is 38.

To get the quotient of 874 and 23 using an area model, create a rectangle with an area of 874 and divide it into 23 equal parts.

Each part would depict the value of one of the 23 groups that 874 is divided into. Then count how many of these equal parts fit into the rectangle and this would give the answer to the division problem.

The rectangle can be divided into 23 equal parts horizontally, and then count how many of these parts fit into the rectangle vertically. Start with one part and see how many times we can fit it into the rectangle vertically before reaching a total of 874.

874 ÷ 23 = ( 1 x 23) + ( 7 x 23)

874 ÷ 23 = 23 + 161

874 ÷ 23 = 38

So the quotient of 874 and 23 is 38.

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Dinesh's salary is Rs. 22,500.

A salary is a set sum of money or other remuneration that a company pays to an employee in exchange for work that is completed.

Suresh saves 10% of his income, while Dinesh saves 8%. Suresh's pay is 1.25 times Dinesh's salary if their savings are equal.

We know that the sum of their salaries is Rs. 90,000. So, Suresh's salary is 0.75 * 90,000 = Rs. 67,500.

Therefore, Dinesh's salary is Rs. 90,000 - 67,500 = Rs. 22,500.

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They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

The endpoints of the latus rectum of the parabola are \((\dfrac{1}{2} , \dfrac{1}{2} )\) and \((\dfrac{-1}{2} , \dfrac{1}{2} )\).

The latus rectum of a parabola is a line segment that passes through the focus and is perpendicular to the axis of symmetry.

Given: equation of the parabola is \(\(y = \frac{1}{2}x^2\)\).

For a parabola with equation \(\(y = \frac{1}{2}x^2\)\), the standard form is

    \(\(y = ax^2\)\)

and, the vertex of the parabola is at the origin (0, 0).

Now, the focus of the parabola is located at a distance of a units above the vertex, \(\(a = \dfrac{1}{2}\)\).

So, the focus is at \((0, \(a\))\) = \((0, \frac{1}{2} )\).

Since the axis of symmetry is the y-axis, the latus rectum will be a horizontal line.

The endpoints of the latus rectum will be equidistant from the focus and lie on a line parallel to the x-axis.

The distance from the focus to each endpoint of the latus rectum is twice the focal length, i.e., 2a = 1.

The endpoints of the latus rectum will be at a distance of 1 unit from the focus in the positive and negative x-directions.

So, the endpoints of the latus rectum are \((\dfrac{1}{2} , \dfrac{1}{2} )\) and \((\dfrac{-1}{2} , \dfrac{1}{2} )\).

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The question is incorrect format, the correct format is

Find the endpoints of the latus rectum of the parabola below.\(\(y = \frac{1}{2}x^2\)\)enter the endpoints as ordered pairs (x,y).

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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Answer:

a. 360°

b. 540°

Step-by-step explanation:

a The sum of the exterior angles of any n-sided polygon is always 360°. Therefore:

a + b + c + d + e = 360°

b. Sum of interior angles of an n-sided polygon is given as (n - 2) × 180

The polygon, QRTXW is a 5 sided polygon, therefore n = 5.

Plug in the value of 5 into the equation:

Sum of interior angles of QRTXW = (5 - 2) × 180

= 3 × 180

= 540°

sheeesh ion know man. you gotta be in 10th or sum

i'm sure you finished that by now tho

Answer: 9 units

Step-by-step explanation:

If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.

The probability of that an incoming call to the service centre is 0.0219. And the probability that an incoming call is a request for purchasing more products is 0.135.

Probability of an event gives the possibility of an event which is never greater than 1 and the probability of impossible event is 0 and the probability of sure event is 1.

Probability = number of favourable cases/ total number of outcomes

a) The probability that an incoming call to the customer service = Probability of incoming calls to the service centre * probability of remaining number of calls in the centre = 0.73* 0.03 = 0.0219.

b) the probability that an incoming call is a request for purchasing more products = Probability of request of calls  in the service centre * probability of request of purchase. = 0.5 * 0.27 = 0.135.

Hence, the probability that incoming call to the service is 0.0219 and of the request of purchase is 0.135.

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Answer:

The real answer is D 2,611.05

Step-by-step explanation: You can trust a me ok?

Answer:

d

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

4.2 is 4 and 2 tenths.

4 is 40 tenths.

That means that 4.2 is 40 tenths plus 2 tenths, or 42 tenths.

First line: 4.2 / 6 = 42 tenths / 6

In the second line, we divide 42 tenths by 6. Since 42 divided by 6 = 7, then 42 tenths divided by 6 equals 7 tenths.

Second line: 4.2 / 6 = 7 tenths

In the third line, we write 7 tenths as a number. 7 tenths is the same as 0.7.

Third line: 4.2 / 6 = 0.7

Answer:

Step-by-step explanation:

y = 4x - 7

Slope of line is 4.

Slope of any parallel to line is also 4.

Point-slope equation for line of slope 4 through (-1,3):

y-3 = 4(x+1)

An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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If 2 layers will fill the entire truck then the volume of the truck is 16 cubic meters.

Since the floor of the truck can be completely covered with a layer of 8 boxes, we know that the area of the truck's floor is equal to the total area of 8 boxes.

The volume of each box is one cubic meter, which means each box has a height, length, and width of 1 meter. Therefore, the area of the truck's floor is 8 square meters (8 boxes x 1 square meter per box).

If two layers of boxes will fill the entire truck, we need to multiply the area of the truck's floor by the height of two layers. Since each box has a height of 1 meter, the height of two layers will be 2 meters.

The volume of the truck = Area of the floor x Height

Volume of the truck = 8 square meters x 2 meters

Volume of the truck = 16 cubic meters

Therefore, the volume of the truck is 16 cubic meters.

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Step-by-step explanation:

"If the sum of 2 angles is 180°, then each is the supplementary angle of the other".