the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answer:

B

Step-by-step explanation:

(hx)(gx)

(2x+5)(3x+2)

6\(x^{2}\)+4x+15x+10

6\(x^{2}\)+19x+10

Answer B

Start by finding the slope of the line that passes through both the 12 roses bouquet and the 18 roses bouquet.

point 1: (12,61)

point 2: (18,79)

then, using one of the points find the fixed costs

Answer:

The general equation that represents the linear relationship is:

Answer:

14

Step-by-step explanation:

1) 153.94 divided by π

2) Simplify 49.00062388 to 49

3) 2√49

The diameter should be 14 inches.

Since if the small inner window has a glass area should be 153.94 inches

So, the radius should be

\(=\sqrt 153.94\div 3.14\)

= 7

So, here the diameter should be

\(= 7\times 2\)

= 14 inches

Hence, The diameter should be 14 inches.

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When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

D) 168

Step-by-step explanation:

So 12 months in a year

each month tcket sells out for 7 times

2 years=24 months becuase 12*2

Multiply

24*7=168

Answer:

The answer is D

Step-by-step explanation:

24*7 is 168

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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(a) The null hypothesis in symbols is H0: µf-µm ≥ 0, The alternative hypothesis in symbols is Ha: µf-µm < 0

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

(c) Since the P-value of 0.0177 is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that birthweight is lower when the elder sibling is male.

(a) The null hypothesis is H0: µf-µm ≥ 0, where µf is the mean birthweight of babies born after a female and µm is the mean birthweight of babies born after a male. The alternative hypothesis in symbols is Ha: µf-µm < 0, indicating that the birthweight of babies born after a male is lower than those born after a female.

(b) The P-value in this context is the probability of observing a t-statistic as extreme as -2.145 or more extreme, assuming the null hypothesis is true. It represents the strength of the evidence against the null hypothesis.

A P-value of 0.0177 means that there is a 1.77% chance of observing a difference in birthweight as extreme as the one observed in the sample, assuming that birthweight is the same for babies born after a male and those born after a female.

(c) We can rule out the null hypothesis because the P-value of 0.0177 is below the significance level of 0.05, meaning there is evidence to support the idea that birthweight is lower when the older sibling is a male.

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Answer:

use g o og le

Step-by-step explanation:

first, look then there are no options then use brain

The answer is A) 10,000,000 seven-digit numbers; B) The number is  20,000 ; C)  5,314,410 identification numbers are possible if no two adjacent digits are the same.

Seven-digit identification number:

A.) The number of possible identifying numbers

Possible digits are 0 up to 9.

Total number of digits: 10

Any of the 10 digits may be used for each;

Hence,

10×10×10×10×10×10×10 equals 10,000,000 potential outcomes.

B.) For it to start begin with either 023 and 003.

- the first digit must be 0 (1 possible value)

- 2nd digit must be 2 or 0 (2 possible values)

- 3rd digit must be 3 (1 possible value)

- 4th and 5th can be filled with any digit (10 × 10 possible values)

Which gives

1×2×1×10×10×10×10 = 20,000

3.) no two adjacent digits are the same that is no two digits that follows each other are the same.

In this case only one digit have 10 possible values.

The other four digits have 9 possible values each.

Which gives:

10×9×9×9×9×9×9 = 10× \(9^{6}\) = 5,314,410

The full question:

A certain identification number is a sequence of seven digits. (a) How many identification numbers are possible? (b) How many of them begin with either 023 or 003? (c) How many identification numbers are possible if no two adjacent digits are the same? (For example, 123-4-567 is permitted, but not 123-3-456.).

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

0, 6 * 0,6 = 0.36

Step-by-step explanation:

Keyword is AND.First AND second matches both. It means you need to use *.

The probability of winning both matches is 0.36 or 36%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

Since the outcome of each match is independent, we can use the multiplication rule of probability to find the probability of winning the next two matches:

P(win both matches) = P(win first match) x P(win second match)

The probability of winning a single match is given as 0.6.

Therefore, the probability of winning the first match is 0.6.

Now, assuming you won the first match, you still have a probability of 0.6 of winning the second match.

Therefore, the probability of winning both matches is:

P(win both matches) = P(win first match) * P(win second match)

= 0.6 x 0.6

= 0.36

Therefore,

The probability of winning both matches is 0.36 or 36%.

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================================================

Explanation:

Let's go through the answer choices

Answer:

y = 3

General Formulas and Concepts:

Algebra I

Coordinate Planes

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify.

Point (3, 3)

Slope m = 0

Step 2: Find

When the slope is equal to 0, you will have an equation of a horizontal line at a y-coordinate point.

y-coordinate: 3

Equation: y = 3

The following volume quantities are listed below:

a) 2 pints, 1 qt

b) 12 pints, 6 qt

c) 5 pints, 2.5 c

d) 6.75 pints, 3.375 fl oz

In this question we must transform a quantity in a unit to another quantity in a unit of the same kind. For instance, if we have a quantity in a mass unit, then we only can convert it into another mass unit.

Herein we have four unit conversion cases for volumes, both pints and quarts are volume units commonly used in the United States. There are the following equivalencies:

Now we proceed to convert each quantity to pints and quarts by cross multiplication:

a) 32 fl oz × 2 pints / 32 fl oz = 2 pints, 32 fl oz × 1 qt / 32 fl oz = 1 qt

b) 24 c × 2 pints / 4 c = 12 pints, 24 c × 1 qt / 4 c = 6 qt

c) 10 c × 2 pints / 4 c = 5 pints, 10 c × 1 qt / 4 c = 2.5 c

d) 108 fl oz × 2 pints / 32 fl oz = 6.75 pints, 108 fl oz × 1 qt / 32 fl oz = 3.375 fl oz

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Answer:

the third one

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

39+5=44

100-44=56

56 percent of  125 is 70

Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.

Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.

Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.

∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.

The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.

Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.

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Answer:

x= - 7/2

Step-by-step explanation:

Decimal Form: -3.5

Mixed Number Form: -3 1/2

The directional derivative of the function f(x,y) = 2xy - 3y^2 at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is 6√2.

Explanation:

The directional derivative measures the rate of change of a function in a specific direction. It is denoted by ∇_u f(x,y), where u is the unit vector in the direction of interest. To compute the directional derivative, we need to take the dot product of the gradient of f with the unit vector u.

First, we need to find the gradient of f(x,y).

∇f(x,y) = [2y, 2x - 6y]

Next, we need to normalize the vector u to get the unit vector in the direction of interest.

|u| = √(4^2 + 3^2) = 5

u^ = (4/5)i + (3/5)j

Taking the dot product of the gradient of f with the unit vector u, we get:

∇_u f(x,y) = ∇f(x,y) · u^ = [2y, 2x - 6y] · (4/5)i + (3/5)j

At the point P0 = (5,5), we have:

∇_u f(5,5) = [2(5), 2(5) - 6(5)] · (4/5)i + (3/5)j = 10(4/5) + (-6)(3/5) = 8 - 3.6 = 4.4

Therefore, the directional derivative of f(x,y) at the point P0 = (5,5) in the direction of the vector u = 4i + 3j is:

∇_u f(5,5) = 4.4

Finally, we need to scale the result by the magnitude of the vector u to get the directional derivative in the direction of u.

Directional derivative = ∇_u f(5,5) / |u| = 4.4 / 5 = 0.88 * √(2)

Directional derivative = 6√2.

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Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

To determine if two triangles are congruent, the following conditions must be met:

To determine if triangle HL is congruent, you must first compare the lengths of each side. If the lengths of each side are equal, then the triangles are similar. Next, you must compare the angles of each triangle. If the angles of each triangle are equal, then the triangles are congruent. Finally, you must compare the pairs of vertical angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. If all of these pairs are equal or supplementary, then the triangles are congruent. If all three conditions are met, then it can be concluded that triangle HL is congruent.

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Answer:

\(0\)

Step-by-step explanation:

\( \frac{8 - m}{n + p {}^{2} } = \frac{8 - 8}{2 + 49} = \frac{0}{51} = 0\)

Answer:

(Biggest to smallest)

Sides: DE, FE, FD

Angles: <F, <D, <E

Step-by-step explanation:

DE = 14, FE = 10, FD = 8 (Biggest to smallest)

Each angle matches up diagonally with a side

Hope this helps!

Answer:

D

Step-by-step explanation:

The required cost of the cans of weedkiller needed to cover lawn are  £ 47.4.

The formula A = 12 (a Plus b) h is used to calculate the area of a trapezoid, where a and b are the bases (parallel sides) and h is the height (the angle between the bases).

We have;

Dimensions of Trapezoid; a = 20, b = 12, Height = h

So;

\($Area = \frac{(a+b)h}{2}$\)

For h, Using Pythagoras theorem;

17² = 8² + h²

h = 15 m

Then,

\($Area = \frac{(12+20)15}{2}$\)

Area = 240 Sq meter

Then,

100  Sq meter = £19.75

For 240  Sq meter

= £19.75(2.4)

= £ 47.4

Thus, required cost is  £ 47.4.

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when x from -∞ to 2, it starts at a value close to -3( >-3) and increase until y = 5 and decrease from the too gradually approaching (>1)

How would you define range?

The difference between the highest and lowest values in statistics for a particular data collection is called the range. The range, for instance, will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, 3. The difference between the greatest and lowest observation might therefore also be used to determine the range.

f(x) = { 2ˣ⁺¹ -3                        

         {(-x+3)(x+1)/(x-2)(x-3)

      =  -(x-3)(x + 1)/(x-3)(x-2)

      = (x +1)/(x-2)

      = x- 2+ 3/x -2

      = 1 + 3/x - 2

a) range = (-3 , +∞ )

b) 2ˣ⁺¹  always  > 0  so   2ˣ⁺¹ - 3 > -3 ,  y = -3

        and x - 2 ≠0 , x≠2  , if  x>2 ,  1+ 3/x-2 > 1   ,  y = 1

c) when x from -∞ to 2, it starts at a value close to -3( >-3) and increase until y = 5 and decrease from the too gradually approaching (>1)

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Answer:

12m + 9

Step-by-step explanation:

3(5m) is 15m

3(3) is 9

which makes 15m + 9

then 15m - 3m is 12m

Answer:

12m+9

Step-by-step explanation:

You first need to distributive the 3 into the parentheses:

3(5m +3) - 3m

15m + 9 - 3m

Next, you need to combine like terms:

15m + 9 - 3m

12m + 9

So the correct answer is 12m + 9. Hope this helps!

f(x) and g(x) are not closed under subtraction because when subtracted, the result will be a polynomial, the correct option is B.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given f(x) and  g(x) two polynomial functions in the standard form of the polynomial,

According to Closure Property, when something is closed, the output will be the same as the input.

The polynomials f(x) and g(x) can be seen in the image.

On subtracting the two polynomials, the output will be a polynomial and so it is closed under subtraction.

Therefore, The reason why f(x) and g(x) are not closed under subtraction is that the outcome of subtraction will be a polynomial, making option B the best choice.

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Complete question:

Answer:

Step-by-step explanation:

he found some grapes

he tried to reach them but couldnt

he eventually gave up

so he just said "theyre

sour anyways"

so he said    

Answer:

x=5

Step-by-step explanation:

move the constant to the right

calculate

devide both sides

simplify the equation

seperate the solution

(x=5)