A riverboat traveled 2.5 miles per hour for 0.8 hours. How far did it go?

Answer:

A

Step-by-step explanation:

[tex]\frac{9x+7}{2}[/tex] - [ x - [ [tex]\frac{-2}{7}[/tex] ]] = 36← distribute bracket by - 1

[tex]\frac{9x+7}{2}[/tex] - x +[tex]\frac{x-2}{7}[/tex] = 36

multiply through by 14 ( the LCM of 2 and 7 ) to clear the fractions

7(9x + 7) - 14x + 2(x - 2) = 504 ← distribute parenthesis on left side

63x + 49 - 14x +2x - 4 = 504 ← simplify left side

51x + 45 = 504 ( subtract 45 from both sides )

51x = 459 ( divide both sides by 51 )

x = 9

The area of the circle rounded of to the nearest tenth having radius 9 inches is 254.3 square inches.

Hence option d is the correct answer.

The radius of a circle is, say r = 9 inches

The formula of calculating area of a circle is,

Area = πr² (square units)

= π(9)² square inches

= 81π square inches

Let us take π= 3.14 (approximated up to two decimal places).

Thus, area of the circle = 81(3.14) square inches = 254.34 square inches

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rounding of a number to its nearest tenth gives the original number to round of to one decimal place.

Here Area =  254.34 square inches is rounded of to the nearest tenth is 254.3 square  inches, since the digit after the first decimal place of the original number is lesser than 5 then we round down the number by decreasing the previous place value digit by 1.

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Answer: B

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:

Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:

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

Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.

Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:

y - y0 = m(x - x0)

Substituting the value of m found in step 1, we get:

y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)

This is the equation of the line parallel to AB passing through the point (x0, y0).

Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.

Step-by-step explanation:

Answer:

  -x⁵ +3x² +3x +C

Step-by-step explanation:

You want the indefinite integral of (-5x⁴ +6x +3).

The power rule for integration is the reverse of the power rule for derivatives.

  [tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]

An indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.

  [tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]

Answer: by watching videos

Step-by-step explanation:

Answer: Watch a video or do your best to scroll down as soon as the website loads. The scrolling worked for me before but you get about 5 seconds before you can't see it anymore.

Step-by-step explanation:

Answer:

The same line.

Step-by-step explanation:

We have to decide whether the lines are perpendicular, neither parallel nor perpendicular, parallel, or the same line. We can check if a line is perpendicular by finding the slope. The line is perpendicular if the slope of one line is the negative reciprocal of the second line.

Let's try to solve for the Y-intercept (where X = 0) of both of these functions.

y + 3x = -4

y + 3(0) = -4

y + 0 = -4

:. y = -4

And now the other one:

y = -3x-4

y = -3(0) - 4

:. y = -4

Since y = -4 in both cases, well, now we have our answer. The answer is it's the same line, so the fourth answer is correct. All the other ones - perpendicular, neither parallel nor perpendicular, and parallel - are incorrect by process of elimination. We don't actually have to keep going from here. But we can (although I won't).

Answer: To calculate the mean square treatment (MST), we need to have the sums of squares for treatment (SST) and the degrees of freedom for treatment (dfT).

Assuming that there are k treatment groups and a total of n observations, we can calculate SST and dfT as follows:

SST = Σ(xi - x_bar)^2 - Σ(yi - y_bar)^2 / n

where xi is the dried weight of plants for the i-th treatment group, x_bar is the mean dried weight of plants for all treatments combined, yi is the dried weight of plants for the control group, and y_bar is the mean dried weight of plants for the control group.

dfT = k - 1

Once we have calculated SST and dfT, we can find MST by dividing SST by dfT:

MST = SST / dfT

Note that SST is the sum of squares for treatment, which represents the variation in the response variable that is due to the different treatment conditions. MST represents the average amount of variation in the response variable that can be attributed to the treatment conditions.

Without knowing the specific values for the dried weight of plants, it is not possible to calculate SST and dfT, and therefore the MST.

Step-by-step explanation:

As a result, the value of x in the equation is zero. option b is correct no solution.

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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Answer:

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

Step-by-step explanation:

Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.

To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.

4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles

So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.

Answer:

Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

Answer:

There was more variation in her time spent running outside.

Step-by-step explanation:

This is because the range for running outside is larger.

To find range you subtract the largest number in the data by the smallest.

RANGE FOR INSIDE: 150 - 25 = 125

RANGE FOR OUTSIDE: 200 - 50 = 150

Since the range is larger for the time outside spent running, there is more variation.

The company boss is planning on ordering a gift for each of his employees.

This can be a great way to show appreciation for their hard work and dedication. When boss is planning to choosing gifts, it's important to consider the company culture and values, as well as the individual preferences and interests of each employee.

Some popular gift ideas include personalized items such as mugs or keychains, gift cards to local restaurants or stores, or company branded merchandise such as t-shirts or hats. Whatever the gift may be, it's important to make sure that it's thoughtful and meaningful to show that the boss truly values and appreciates the hard work of his employees.

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If  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

The circumference of a circle is 7π cm

We have to find the area of the circle

To find area we have to know the radius

Circumference = 2πr

7π= 2πr

r=7/2

= 3.5 cm

Area of circle = πr²

=3.14×(3.5)²

=3.14×3.5×3.5

=38.465 square centimeter

Hence, if  circumference of a circle is 7π cm then area of circle is 38.465 square centimeter

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The statements that correctly describe this transformation include the following:

B. the y-intercept changes from (0, -3) to (0, 3).

D. the x-intercept is not affected by the transformation.

E. the function is reflected in the x-axis.

G. I(x) = -P(x).

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

y-intercept = (0, -3)   →  y-intercept' = (0, -(-3)) = (0, 3).

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Answer:

1/2 is half a number while 1/2% means 50%

Answer:

 D. √3 ; 2

Step-by-step explanation:

 30/60/90 triangles have sides of 1/√3/2 respectfully.

30 pairs with 1, 60 pairs with √3, 90 pairs with 2.

the angles pair with whatever side it is directly diagonal to.

i hope this helped you in some way! let me know if you are confused.

edit: my brainly keeps messing up my text

Hence, the  equivalent expression  of 8(m + 4) is 8 m + 32.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Two  expressions are equivalent  if they can be simplified to the same  third expression or if one of the expressions can be written like the other. In  addition, you can also determine if two expressions are equivalent when values are substituted in for  the variable and both arrive at the same answer.

we  know  that,  the  distributive  property of multiplication over addition,

that  is  a(b + c) = ab + ac.

So, apply  this  property in  8(m + 4),

than we get:

8(m + 4) = 8 m + 8(4)

8(m + 4) = 8 m + 32

Therefore,  the  equivalent  expression  for 8(m + 4) is 8 m + 32.

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Answer: 274 degrees.

Step-by-step explanation:

If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.

Therefore, the temperature in the oven after 3 minutes will be:

250 + 24 = 274 degrees.

According to the information, We can continue drawing more triangles by varying the angles in different ways.

Since the given triangle has one side with a fixed length of 4 cm, we can draw an infinite number of triangles by varying the other two angles.

To draw the second triangle, we can keep the 50 degree angle fixed and change the 40 degree angle. For example, we could draw a triangle with a 50 degree angle, a 60 degree angle, and a side of length 4 cm.

To draw the third triangle, we can keep the 40 degree angle fixed and change the 50 degree angle. For example, we could draw a triangle with a 30 degree angle, a 40 degree angle, and a side of length 4 cm.

We can continue drawing more triangles by varying the angles in different ways.

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A value of 26 is 2.5 standard deviations away from the mean.

To find the number of standard deviations away from the mean, we can use the formula:

z = (x - μ) / σ

where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation.

In this case, the value we want to convert is x = 26, the population mean is μ = 16, and the population standard deviation is σ = 4. Substituting these values into the formula, we get:

z = (26 - 16) / 4 = 2.5

This means that the value of 26 is 2.5 standard deviations away from the mean. Since the z-score is positive, we know that the value of 26 is above the mean. Therefore, the answer is option D, 2.5.

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Answer:

32 degrees

Step-by-step explanation:

Recall the three main trig functions: sine, cosine, and tangent.

When using sine, we divide the opposite side from the angle by the hypothenuse.

When using cosine, we divide the adjacent side of the angle by the hypothenuse.

When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.

Since we are given the opposite and adjacent sides, we'll use tangent.

We set up the equation like normal:

tan x [tex]= \frac{13}{21}[/tex]

Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:

[tex]x = arctan(\frac{13}{21} )[/tex]

(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.

Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)

Answer:

17.7

Step-by-step explanation:

using the pythagorean theorem, plug in and solve.

hi

with Pythagoras we have :

13²+12² = 313

so answer is [tex]\sqrt{313}[/tex] ≈ 17.7  rounded.

option 1 is correct , trigonometric ratio to solve for the missing side is sine.

we have an angle of 54 degrees and a hypotenuse of 12 units. We can use trigonometric ratios to solve for the missing side, which is the perpendicular side.

In a right triangle, the three primary trigonometric ratios are:

Sine (sin): the ratio of the length of the side opposite the angle to the hypotenuse.

Cosine (cos): the ratio of the length of the side adjacent to the angle to the hypotenuse.

Tangent (tan): the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

Given that we know the hypotenuse (12 units) and the angle (54 degrees), we can use the sine ratio to solve for the length of the perpendicular side. The sine ratio is defined as:

sin(x) = opposite/hypotenuse

Plugging in the given values:

sin(54 degrees) = opposite/12

To solve for the length of the perpendicular side (opposite), we can rearrange the equation:

opposite = sin(54 degrees) * 12

Using a calculator, we can find the value of sin(54 degrees) and multiply it by 12 to find the length of the perpendicular side.

therefore, option 1 is correct , trigonometric ratio to solve for the missing side is sine.

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The Cartesian Coordinate System is a method used to represent points in a plane by using two numerical values called coordinates

a.) . These coordinates represent the distances of the point from a fixed reference point called the origin, along two perpendicular axes called the x-axis (horizontal) and y-axis (vertical).

b.) The system is used for various purposes, such as plotting points and lines in geometry, graphing functions in mathematics, analyzing data in statistics, designing objects in computer-aided design, and representing locations in geography and mapping.

c.) The system was developed by the French mathematician and philosopher René Descartes in the 17th century.

d.) Historically, the system is unique because it introduced a method of visualizing and analyzing geometric shapes and algebraic equations using a common framework, which enabled the development of analytic geometry and the fusion of algebra and geometry.

a.) x-coordinate

b.) y-coordinate

c.) quadrant

d.) intersection

e.) coordinates

f.) origin

g.) axes (of a graph)

h.) y-axis

i.) x-axis

j.) number line

k.) ordered pair

l.) coordinate grid

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The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.

When it comes to integrating data between different systems or applications, there are different approaches that can be taken.

One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.

However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.

The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.

For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.

Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.

In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.

However, these methods can also be more complex and costly to set up and maintain.

Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.

It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.

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Answer:

the answer of the sequence is a

The values of x using the X method are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.

Using the X method:

x + 2 = 0 or 6x - 10 = 0

x = -2 or x = 10/6 = 5/3

Therefore, the solutions are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.

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After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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