plot the distance and time data for distance the train traveled on the grid below. plot the distance on the vertical axis and time on horizontal axis. label the axes and add a title to your plot.
Distance Traveled by Train

Time (h) Distance (km)
0 0
1 110
2 220
3 330
4 400
5 500

Answer: 6.7

Step-by-step explanation:

a^2+b^2=c^2

36+9=45

Sqrt of 45 approx 6.7

Answer:

10

Step-by-step explanation:

use Pythagoras Theron

a^2+b^2=c^2

let ms know if you have further questions

Using Pythagorean theorem

\(\\ \sf\longmapsto H^2=P^2+B^2\)

\(\\ \sf\longmapsto H^2=(5√3)^2+5^2\)

\(\\ \sf\longmapsto H^2=75+25\)

\(\\ \sf\longmapsto H^2=100\)

\(\\ \sf\longmapsto H=10\)

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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It will take Daquin 63min to finish rest of his homework which is 70% of the total homework, if 30% is done in 27 minutes.

Daquin has completed 30% of his work.

Remaining work will be 100-30 = 70%

Means 70% of the total work is remaining to do by Daquin.

By applying unitary method:

Since, to do 30% of the homework it take 27 minutes.

Therefore, To do 1% of the homework it will take 27/30 minutes.

So, To do 70% of the homework it will take (27/30)×70 min

= 63 min

Hence, It will take him 63min to finish rest of his homework.

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Answer:

A

Step-by-step explanation:

This will have slope in it, so bear with me.

We will use the equation \(\frac{y(2) - y(1)}{x(2) - x(1)}\) (keep in mind (2) means second and (1) means first)

Lets fill it out.

\(\frac{-4-(-1)}{-4-3}\)

It should be \(\frac{-3}{-7} or \frac{3}{7}\)

So it is A

Answer: D

Step-by-step explanation:

The graph relating the variables a and b would be a downward-sloping line or a negative correlation. When it is stated that "if a decreases, then b will also decrease," it indicates a negative relationship or correlation between the variables a and b.

In this case, as the value of a decreases, the value of b also decreases. This relationship can be visually represented by a downward-sloping line on a graph.

As you move from left to right along the x-axis (representing a), the corresponding values on the y-axis (representing b) decrease. This negative correlation suggests that there is an inverse relationship between the two variables, where changes in a are associated with corresponding changes in the opposite direction in b.

The extent and strength of the negative correlation can vary, ranging from a perfect negative correlation (a straight downward-sloping line) to a weaker negative correlation where the relationship is less pronounced.

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1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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The value of H is 7 and the the value of K is -2.

The probability of getting 2 kings out of 25 cards is approximately 0.044 or 4.4%.

Drawing cards from a standard deck of 52 cards is a random process, and the probability of getting 2 kings out of 25 cards depends on the total number of possible outcomes.

There are 4 kings in a deck of 52 cards,

So, The probability of drawing a king on the first draw = 4/52.

Since the deck is not replaced,

The probability of drawing another king on the second draw = 3/51.

Therefore,

The probability of getting 2 kings out of 25 cards can be calculated by combining these two probabilities.
The probability of drawing 2 kings = \((4/52) * (3/51) * (25C2)\)

Where,

25C2 = The number of ways to select 2 cards out of 25.

After calculating this expression, the probability of getting 2 kings out of 25 cards is approximately 0.044 or 4.4%.

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Answer:

11.9 miles

Step-by-step explanation:

1.6 kilometers = 1 mile

19 kilometers = 1/1.6 * 19 miles

= 11.875 miles

The total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

To find the total area of the solid figure, we need to determine the areas of each face and then add them together.

The solid figure consists of a rectangular prism with dimensions 3" x 3" x 6" and a pyramid on top with an equilateral triangle base.

First, let's find the area of the rectangular prism. The rectangular prism has two identical square faces with side length 3" and four rectangular faces with dimensions 3" x 6". The total area of the rectangular prism can be calculated as:

Area of the square faces: 2 * (3" * 3") = 2 * 9 square inches

Area of the rectangular faces: 4 * (3" * 6") = 4 * 18 square inches

Total area of the rectangular prism: 2 * 9 + 4 * 18 = 18 + 72 = 90 square inches.

Next, let's find the area of the triangular pyramid. The base of the pyramid is an equilateral triangle with side length 3". The height of the pyramid is 3". The formula to find the area of an equilateral triangle is (sqrt(3) / 4) * (side length)^2. Plugging in the values, we have:

Area of the triangular pyramid: (sqrt(3) / 4) * (3" * 3") * 3" = (sqrt(3) / 4) * 9 * 3 = (sqrt(3) / 4) * 27 = 27sqrt(3) / 4 square inches.

Now, we can find the total area of the solid figure by adding the area of the rectangular prism and the area of the triangular pyramid:

Total area = Area of rectangular prism + Area of triangular pyramid

Total area = 90 square inches + 27sqrt(3) / 4 square inches.

Thus, the total area of the solid figure is 90 square inches + 27sqrt(3) / 4 square inches.

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Answer:

Step-by-step explanation:

Given:

Use formulas:

Substitute the known values:

Eliminate P and solve for r:

Solving the quadratic equation we get:

Now find P:

Answer:

y = 3/5 x + 2

Step-by-step explanation:

y = mx + b

From the graph, we see that b = 2.

y = mx + 2

From the graph, we see that the slope is

slope = m = rise/run = 3/5

y = 3/5 x + 2

Considering the dimensions of the rectangular prism and it's volume, it is found that:

The volume of a rectangular prism is given by the multiplication of the dimensions of the prism, which are the width symbolized by w, the height symbolized by h and the length symbolized by l, that is:

V = l x w x h.

In the context of this problem, from the image, the dimensions are given as follows:

Then the polynomial expression regarding the volume of the prism is obtained as follows:

V(x) = 2x(x - 3)(2x - 5)

V(x)= 2x(2x² - 11x + 15)

V(x) = 4x³ - 22x² + 30x.

The features of the polynomial expression V(x) = 4x³ - 22x² + 30x is obtained as follows:

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Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

We are given the values of a and b and an equation involving exponents. We need to solve for the value of x.

The given equation is \((a)^2\) =\((b)^2\) * \((x)^2\).

We can solve for x by isolating it on one side of the equation. Let's rewrite the equation: \((a)^2\) = \((b)^2\) * \((x)^2\)

Taking the square root of both sides, we have: \(\sqrt{a^2}\)= \(\sqrt{b^2}\) * \((x)^2\)

Simplifying further, we get: a = b * x

Now we can solve for x by dividing both sides of the equation by b: x = a / b.

Substituting the given values of a and b into the equation, we have: x = 0.697 / 0.6

Evaluating this expression, we find: x ≈ 1.162

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Answer:

All students in each grade

Step-by-step explanation:

Answer:

protractor

Step-by-step explanation:

use a protractor or  an online protractor

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.

Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.

The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.

Now, let's add up the five angles of the pentagon:

x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540

Simplifying the equation:

5x + 20 = 540

5x = 540 - 20

5x = 520

x = 520 / 5

x = 104

So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.

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Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\ \)

From the question we have

\(density = \frac{24}{5} \\ \)

We have the final answer as

Hope this helps you

Answer: 1.2 × 10-7 m3 kg

Step-by-step explanation:

(24g) (5cm^3)=1.2 × 10-7 m3 kg

Answer:25

Step-by-step explanation:

In 10 years, with daily compounding, $15,000 invested today at 12% will grow to a total value of approximately $52,486.32.

To calculate the future value of the investment, we can use the formula for compound interest:

Future Value = Principal × (1 + (Interest Rate / Number of Compounding Periods))^(Number of Compounding Periods × Number of Years)

In this case, the principal amount is $15,000, the interest rate is 12% (0.12 as a decimal), the number of compounding periods per year is 365 (since it's daily compounding), and the number of years is 10. Plugging these values into the formula, we can calculate the future value to be approximately $52,486.32.

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Answer:

\(x^{2}\)

Step-by-step explanation:

x*x=\(x^{2}\)