A sprinkler can water a region with an 8 foot radius. A plant is 4 feet east and 6 feet north of the sprinkler. Is the plant in the sprinkler’s range? Why or why not?

Answer: The real part is -7, the imaginary part is 8i

Step-by-step explanation:

Answer: The Real Part: -7

               The imaginary Part: 8i

Step-by-step explanation:

Answer:

It is 19

9+10=19

Answer:

19

Step-by-step explanation:

Simply put, 9 + 10 = 19.

Method 1

Distribute each number, then count individual numbers, take h's for example

hhhhhhhhh (9) + hhhhhhhhhh (10) = hhhhhhhhhhhhhhhhhhh (19)

Method 2

Plug this into a calculator, and get 19!

If we shuffle a deck of cards ,turn over first card, then

(a) "Sample-Space" of this experiment is set of all 52 cards.

(b) Number of outcomes in event that the first card is a heart is 13 .

Part (a) : The "Sample-Space" of this experiment refers to all possible outcomes that occur when "first-card" from a shuffled deck of cards is turned over.

In a "standard-deck" of 52 playing cards, the sample space consist of all 52 cards, which includes 4 suits (hearts, diamonds, clubs, spades) each with 13 cards (Ace - 10, Jack, Queen, King).

So, the sample space of this experiment will be set of all 52 possible cards that could be turned over as "first-card".

Part (b) : The event that "first-card" is a heart will consist of all outcomes where the first card turned over is a heart.

In a "standard-deck" of 52 "playing-cards", there are 13 hearts (Ace of Hearts, 2 of Hearts, 3 of Hearts, ..., 10 of Hearts, Jack of Hearts, Queen of Hearts, and King of Hearts).

Therefore, there are 13 outcomes in the event .

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The given question is incomplete, the complete question is

Shuffle a deck of cards and turn over the first card.

(a) What is the sample space of this experiment?

(b) How many outcomes are in the event that the first card is a heart?

The slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Let the given points as shown:

(x1,y1)= (-5, 6) and (x2,y2)= (-9, -6)

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

                 = (-6-6) /(-9-(-5))

                 = -12/-4

                 = 3

So, the slope of the line that passes through the points (-5, 6) and (-9, -6) is 3

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The minimum value of the product is -8.

The minimum value is the y value of the lowest point on the graph.

The function y = 2x-8 and we have to find the minimum value of the XY.

Plugging the value of y in the product;

\(\rm f(x)=x(2x-8)\\\\f(x)=2x^2-8x\)

f(x) represents an upward parabola and we know that for an upward parabola, the minimum point is the vertex.

So in order to find the minimum value, we find the y coordinate of the vertex of the parabola.

The x-coordinate of the parabola is given by;

\(\rm = \dfrac{-b}{2a}\\\\=\dfrac{-8}{2\times 2}\\\\ =\dfrac{-8}{4}\\\\=-2\)

The y -coordinate of the parabola is;

\(\rm f(x)=2x^2-8x\\\\f(2)=2(2)^2-8(2)\\\\f(2)=2\times 4-16\\\\ f(2)=8-16\\\\ f(2)=-8\)

The vertex is (2,-8)

Hence, the minimum value of the product is -8.

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Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The factors of the given trinomial are (3x-2)(x+5).

Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.

Given is a trinomial 3x²+13x-10, we need to factorize it,

So,

= 3x²+13x-10

To factorize a trinomial, we do find the product of the product of a and c (ax²+bx-c) and find its two factors so that we can add or subtract so that we can find the middle term (b) of the trinomial,

Here,

a = 3, c = 10

a × c = 30

Now,

15 and 2 are the factors of the 30, also 15 - 12 = 13 which is the middle term of the trinomial,

Therefore,

3x²+13x-10 = 3x²+15x-2x-10

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

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

Hence, the factors of the given trinomial are (3x-2)(x+5).

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Answer:

Lead-the-market pay strategies. An employer may choose to establish an internal compensation strategy that is in excess of the pay rates in the prevailing marketplace. This compensation strategy may increase the supply of candidates, increase selection rates of qualified acpplicants, decrease employee turnover, increase morale and productivity, or prevent unionization efforts. However, prior to implementing a lead compensation strategy, an organization should carefully consider what benefits it expects to realize from such a strategy, keeping in mind that this type of structure has the greatest propensity of increasing overall labor costs.

Step-by-step explanation:

True, the half-life equations are an application of integrated rate laws. False, pseudo-order reaction kinetics is not a way to simplify a more complicated rate law by holding one (or more) of the reagents essentially constant. False, half-life is not the time required for the rate of the reaction to decrease by one half. The rate law equation expresses the rate of the reaction in terms of the concentrations of the reactants.

1. The half-life equations are an application of integrated rate laws: True. Half-life equations are derived from integrated rate laws to express the time required for the concentration of a reactant to decrease to half its initial value.

2. Pseudo-order reaction kinetics is a way to simplify a more complicated rate law by holding one (or more) of the reagents essentially constant: True. Pseudo-order reaction kinetics simplifies complex rate laws by considering one or more reagents to be in excess, effectively making their concentrations constant, which leads to a simpler rate law.

3. Half-life is the time required for the rate of the reaction to decrease by one half: False. Half-life is the time required for the concentration of a reactant to decrease by one half, not the rate of the reaction.

True, the half-life equations are an application of integrated rate laws. False, pseudo-order reaction kinetics is not a way to simplify a more complicated rate law by holding one (or more) of the reagents essentially constant. False, half-life is not the time required for the rate of the reaction to decrease by one half. The rate law equation expresses the rate of the reaction in terms of the concentrations of the reactants.

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Answer:

$6.00

$24.00

$112.00

$625.00

Step-by-step explanation:

All you have to do is multiply each number by .05

After answering the given query, we can state that  Therefore, the slope of the line passing through points A and B is 1/2.

A line's inclination determines how steep it is. An mathematical mathematical formula for the gradient gradient overflow.. over over over over over over over over over over over over over gradient over over over over over over over By dividing the vertical change (run) between two spots by the height change (rise) between the same two locations, the slope is determined. The equation for a straight line, denoted by y = mx plus b, is represented by an expression in curve form. Where the slope is m, b is b, and the line's y-intercept is located (0, b). For instance, the y-intercept and slope of the equation y = 3x - 7 (0, 7). The position of the y-intercept is where the slope of the route is m, b is b, and (0, b).

To find the slope of the line that passes through two points A(-7,-7) and B(-13,-10), we use the formula:

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

where (x1,y1) = A(-7,-7) and (x2,y2) = B(-13,-10)

m = (-10 - (-7)) / (-13 - (-7))

= (-10 + 7) / (-13 + 7)

= -3 / -6

= 1/2

Therefore, the slope of the line passing through points A and B is 1/2.

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If we take any sample from population the mean of sample is approximately population mean always sample mean of 100 babies is 3500.

Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods. His two basic ideas in the field of statistics are uncertainty and variability. Science (or life in general) often encounters situations where the outcome is uncertain.

Sample mean is unbiased estimator of population mean.

so , if we take any sample from population the mean of sample is approximately population mean always.

therefore, sample mean of 100 babies is 3500.

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Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

Answer:

log4 (116)=−2

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (4)(4) of the right side (116)(116) equalsthe exponent (−2)(-2).

Answer:

The height is 3

Step-by-step explanation:

The formula to find the volume is pi r^2 h/3

So we change the formula: 400pi is 1256.64 rounded

Divide 1256.64 by pi 20^2 and you get 3

If A plant is 6.2cm tall. The height of the plant increases by 11% each week. Then 7.564 cm is the height of plant after two weeks.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

A plant is 6.2cm tall

The height of the plant increases by 11% each week

Let us convert 11% to the decimal value by dividing 11 with 100.

11/100=0.11

Now we have to find  height plant will be after 2 weeks.

The increase of plant length in 1 week will be

0.11×6.2=0.682 inches

For 2 weeks it is 2×0.682

=1.364

Now add the initial length with increment of height to find the height after 2 weeks.

6.2cm+1.364m=7.564cm

Hence 7.564 cm tall the plant will be after 2 weeks

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Answer:

  3

Step-by-step explanation:

You want the middle term of the geometric sequence 6, __, 3/2.

The first term of this sequence is a1. With common ratio r, the first three terms are ...

If we multiply the first and third terms, we get ...

  (a1)(a1·r²) = (a1)²·r² = (a1·r)² . . . . . the square of the middle term

Then the middle term is ...

  a1·r = √(6·3/2) = √(18/2) = √9 = 3

The middle term of the sequence is 3.

__

Additional comment

That lets us see that the common ratio is r = 3/6 = 1/2.

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Answer:

Step-by-step explanation:

-2 + 3x  = 6wv

Add 2 to both sides

3x = 6wv + 2

Divide the entire equation by 3

\(\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}\)

To find the third side of an inequality of a triangle, you must first use the Triangle Inequality Theorem.

This theorem states that for any triangle, the sum of any two sides of the triangle must be greater than the third side. This means that in order to find the length of the third side, you must subtract the sum of the two known sides from the smaller of the two sides, then the length of the third side will be equal to the difference between these two numbers. For example, if two sides of a triangle have lengths of 4 and 3, the third side must be greater than 1 (4 + 3 = 7 and 4 - 3 = 1). Therefore, the length of the third side must be greater than 1.

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Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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Using distributive property, the simplification of the expression shows that the given expression is already simplified.

To simplify expressions first expand any brackets, next multiply or divide any terms and use the laws of indices if necessary, then collect like terms by adding or subtracting and finally rewrite the expression.

t - 2 / v - 3

Let's combine the numerator with the denominator

(t - 2)(v - 3) / (v - 3)

Expand the expression using distributive property

tv - 3t - 2v + 6 / (v - 3)

We can factor as;

(t - 2)(v - 3) / (v - 3)

Cancel both sides

(t - 2) / (v - 3)

The expression has already been simplified

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The solution to the equation does not exist

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

The mean of the team’s distances is 3.75 miles. The median of the team’s distances is 3.5 miles.

To find the mean of the distances run by the Kennedy High School cross-country running team, we will first add up all the distances and then divide by the number of distances. The distances ran by the Kennedy High School cross-country running team are:

3.5 miles, 2.5 miles, 4 miles, 3.25 miles, 3 miles, 4 miles, and 6 miles adding up these distances, we get:

3.5 + 2.5 + 4 + 3.25 + 3 + 4 + 6 = 26.25

So the sum of the distances is 26.25 miles. Now, to find the mean, we will divide by the number of distances, which is 7. Therefore, the mean of the distances is: Mean = Sum of distances / Number of distances

Mean = 26.25 / 7

Mean = 3.75 miles

To find the median of the distances run by the team, we will first arrange the distances in order from smallest to largest:2.5 miles, 3 miles, 3.25 miles, 3.5 miles, 4 miles, 4 miles, 6 miles

Now, we will find the middle value. Since there are 7 distances, the middle value will be the 4th value. Counting from the left, the 4th value is 3.5 miles. Therefore, the median of the distances ran by the team is 3.5 miles.

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Answer:

30 degrees

Step-by-step explanation:

I think that every corner is a 90 degree angle so 90/2 is 30

The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

We have,

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:

mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6

Next, we calculate the deviation of each data point from the mean:

|4 - 6.6| = 2.6

|5 - 6.6| = 1.6

|7 - 6.6| = 0.4

|9 - 6.6| = 2.4

|8 - 6.6| = 1.4

Then we find the average of these deviations, which gives us the mean absolute deviation:

MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6

Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).

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The bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner, as they need to assign them to two tables of five people each.

To determine the number of different groups of five people that can be formed, we can use the concept of combinations. In this scenario, we have 10 people who need to be divided into two groups of five people each.

The number of ways to choose five people out of 10 can be calculated using the combination formula. The formula for combinations is given by:

C(n, r) = n! / (r! * (n - r)!)

Where n represents the total number of people and r represents the number of people to be chosen. In this case, n = 10 and r = 5.

Plugging these values into the formula, we get:

C(10, 5) = 10! / (5! * (10 - 5)!)

= (10 * 9 * 8 * 7 * 6 * 5!) / (5! * 5 * 4 * 3 * 2 * 1)

= (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1)

= 252

Therefore, the bride and groom can form 252 different groups of five people from the total of 10 people at the rehearsal dinner. This means that there are 252 distinct ways to divide the 10 people into two tables of five people each, providing flexibility in creating diverse groups for the dinner.

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Answer:

4 = 60     5 =  120     6 = 120     7 = 60

Step-by-step explanation: