round 0.947 to the nearest 10

Answer:

4

Step-by-step explanation:

the last one I think

The slope of the graph is indeed 4.

You can find the slope of a line by using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.

In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:

m = (40 - 0) / (10 - 0) = 40 / 10 = 4

Therefore, the slope of the graph is 4. So the answer is d. 4.

The relationship that is continuous is the distance a runner ran during training.

The relationship that is continuous is D. the distance a runner ran during training.

A continuous relationship is one in which the values of one variable change smoothly and consistently over a given interval. In the case of the distance a runner ran during training, the distance can be any real number and can be measured with great precision, allowing for smooth changes in the values.

The continuous relationship is the distance a runner ran during training.

A continuous relationship is one where the variable changes smoothly and can take any value within a given range. Let's analyze the options:

A. The number of cows a farmer has owned over the years:

This relationship is likely continuous, as the number of cows can change smoothly over time, and there are no discrete jumps in ownership.
B. The number of cookies Stan baked for the party:

This relationship is likely discrete, as the number of cookies is typically counted in whole numbers without smooth transitions. Stan would bake a specific, countable quantity of cookies.
C. The number of people attending the assembly:

This relationship is likely discrete, as the number of people is counted in whole numbers and does not change smoothly. Attendees come in whole individuals, not fractions.
D. The distance a runner ran during training:

This relationship is continuous, as distance can vary smoothly and take any real value within a given range. Runners can cover fractional distances, making it a continuous variable.
Therefore, the continuous relationship is D, the distance a runner ran during training.

y = 5/2 x + 10 slope: 5/2

Step-by-step explanation:

The another angle whose cosine is 0.343 is  -70.789 degrees.

Given that,

cos(70) = 0.342

We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.

Now

⇒ cos(x) = 0.343

⇒cos(-x) = cos(x)

              = 0.343

Now, we need to find -x.

⇒ cos(-x) = 0.343

Taking inverse cosine on both sides, we get:

⇒ -x = arcos(0.343)  we get,

⇒ -x = 70.789

Therefore, x = -70.789

Hence, another angle whose cosine is 0.343 is -70.789 degrees.

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Final answer:

The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.

Explanation:

The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.

Answer:

D. y = 2x + 6

Step-by-step explanation:

The amount of quarters that there´s in the jar is expressed by the letter "Y".

We know the jar had already 6 quarters.

Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.

What remains constant is that we started with 6 quarters and Jill deposits 2 more every day

Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.

Y= 2x+6

If (4, y) is an ordered pair of the function, then value of y = 1.

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

(4, y) is an ordered pair of the function.

Now, The point (4, y) has a known x coordinate of x = 4.

For the value of y at x = 4,

Draw a vertical line through 4 on the x axis.

Then, The vertical line crosses the graph at the point (4, 1).

Thus, The value of y is 1.

Thus, If (4, y) is an ordered pair of the function, then value of y = 1.

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Final answer:

To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you can factor out 5x to get 15x(x²+5x).

Explanation:

To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you need to identify a common factor.

In this case, the common factor is 5x. So, you can factor out 5x from each term to get: 15x(x²+5x)

Therefore, the correct answer is option a. 15x(x²+5x).

Answer:

Step-by-step explanation:

(-5, 0) and (6, 0) is the correct answer.

To find the x-intercepts, use the Zero Product Property and solve for x:

x - 6 = 0  

x = 6

x + 5 = 0

x = -5

Therefore, the x-intercepts are (6,0) & (-5,0).

The expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

It is given that:

The temperature on a summer afternoon is 85 degrees Fahrenheit.

Let C be the temperature in degrees

F = (9/5)C + 32

Or

C = [5/9](F - 32)

From the data given in the question:

Any temperature change is the sum of the initial temperature and the new value.

Temperature plus changes The figure will be positive if there has been an increase. The number will be negative if there is a reduction.

Thus, the expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.

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Answer:

1/4

Step-by-step explanation:

3/12 simplified is 1/4.

The given argument is valid by the law of syllogism which is the correct answer would be option (C).

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Premise: If two angles form a linear pair, they are supplementary.

If two angles are supplementary, the total of their measurements equals 180.

Conclusion: If two angles form a linear pair, the total of their measurements equals 180.

If two angles form a linear pair, they are always supplementary.

Thus, if two angles form a linear pair, the total of their measures is 180°; however, if two angles are supplementary, it does not ensure that they will form a linear pair.

So the given argument is valid by the law of syllogism.

Hence, the correct answer would be option (C).

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The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.

To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.

Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.

Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.

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