Every day you look out your window and see people walking dogs past your house with their dogs on a leash and a plastic bag in their hand. You conclude that all the people in your neighborhood are responsible dog-owners. What kind of reasoning is this?

Answer:

5x+2

Step-by-step explanation:

the pattern is

y is 5 times x plus 2

y=5x+2

The solution is, y=5x+2,  an equation that shows the relationship between the number of students photographed, x, and the total number of pictures on the memory card, y.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

She took 2 pictures to check that everything is working properly.

Now that it's picture day, she expects to take 5 pictures of each student.

now, we get,

the pattern is

y is 5 times x plus 2

y=5x+2

Hence, The solution is, y=5x+2,  an equation that shows the relationship between the number of students photographed, x, and the total number of pictures on the memory card, y.

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Answer: 5 : 3, 10: 6, 25: 15

Step-by-step explanation: We know from our original ratio that for every 5 peanuts, we have 3 cashews. Therefore 5:3, to get to 6 from 3, we have to double it, and whatever we do to the last number, we have to do to the first, so we get 10:6. We can continue this process for 15:9, 20:12, 25:15

Since f(x) is (strictly) increasing, we know that it is one-to-one and has an inverse f^(-1)(x). Then we can apply the inverse function theorem. Suppose f(a) = b and a = f^(-1)(b). By definition of inverse function, we have

f^(-1)(f(x)) = x

Differentiating with the chain rule gives

(f^(-1))'(f(x)) f'(x) = 1

so that

(f^(-1))'(f(x)) = 1/f'(x)

Let x = a; then

(f^(-1))'(f(a)) = 1/f'(a)

(f^(-1))'(b) = 1/f'(a)

In particular, we take a = 2 and b = 7; then

(f^(-1))'(7) = 1/f'(2) = 1/5

The function f(x) is an increasing function about which little else is known about other than f(2)=7 and f'(2)=5. Then the value of (f⁻¹)'(7) is 1/5

To find (f⁻¹)'(7), we can use the inverse function theorem. The formula for the derivative of the inverse function is given by:

[tex](f^{-1})'(y) = \frac{1}{f'(x)},[/tex]

where y = f(x). Since we know that f(2) = 7 and f'(2) = 5, we have x = 2 and y = 7. Substituting these values into the formula:

[tex](f^{-1})'(7) = \frac{1}{f'(2)} = \frac{1}{5}.[/tex]

Therefore,

[tex](f^{-1})'(7) = \frac{1}{5}.[/tex]

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Answer:

AAS

Step-by-step explanation:

ASA would be where lines AB and DC were given to be congruent

Answer:

The two lines are neither parallel nor perpendicular to one another.

Step-by-step explanation:

The slope [tex]m[/tex] gives the orientation of a line.

Make sure that the equation of both lines are in the slope-intercept form [tex]y = m\, x + b[/tex] (where [tex]m\![/tex] is the slope and [tex]b[/tex] is the [tex]y[/tex]-intercept) before comparing their slopes.

The equation of the first line [tex]y = 3\, x - 5[/tex] is already in the slope-intercept form. Compare this equation with the standard [tex]y = m\, x + b[/tex]. The slope of this line would be [tex]m = 3[/tex].

Rewrite the equation of the second line [tex]9\, x + 3\, y = 1[/tex] to obtain the slope-intercept equation of that line:

[tex]3\, y = -9\, x + 1[/tex].

[tex]\displaystyle y = -3\, x + \frac{1}{3}[/tex].

Thus, the slope of this line would be [tex]m = (-3)[/tex].

Two lines are parallel to one another if and only if their slopes are equal. In this question, [tex]3 \ne (-3)[/tex]. Thus, the two lines are not parallel to one another.

On the other hand, two lines are perpendicular to one another if and only if the product of their slopes is [tex](-1)[/tex]. In this question, [tex]3\times (-3) = (-9)[/tex], which is not [tex](-1)\![/tex]. Thus, these two lines are not perpendicular to one another, either.

Answer:

$32.2

Step-by-step explanation:

28/100×15%= 32.2

Answer:

D

Step-by-step explanation:

The true answer is 12 divided by four bu the closest I can see is the last one

Answer:

see picture

Step-by-step explanation:

Answer:

There is not a y-intercept

Step-by-step explanation:

The line does not cross y=0

Answer:

Step-by-step explanation:

To complete the steps to demonstrate why you multiply by the reciprocal when dividing fractions.

To find

Step 1:

Rewrite it as

.

Step 2:

Multiply the numerator and the denominator by the reciprocal of

.

Multiply total votes by the fraction:

64 x 3/4 = (64 x 3) / 4 = 192/4 = 48

Answer: 48

Answer:

48

Step-by-step explanation:

64×3/4 three fourths

=48

Answer:

-4.25

Step-by-step explanation:

Answer:

-4.25

Step-by-step explanation:

absolute value is just distance from zero, so all you have to do is add the negative sign.

Step-by-step explanation:

the numbers : x, y

x - y = 8

2y = x + 4

2y - 4 = x

we use the last equation in the first :

2y - 4 - y = 8

y - 4 = 8

y = 12

x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20

the smaller number is 12.

The value of the smaller number will be 12.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The difference between two whole numbers is 8.

And, Twice the smaller number is 4 more than the larger number.

Now,

Let two numbers are x and y.

Where, x is larger number and y is smaller number.

Since, The difference between two whole numbers is 8.

Hence, We get;

⇒ x - y = 8

⇒ x = 8 + y  ..(i)

And, Twice the smaller number is 4 more than the larger number.

So, We get;

⇒ 2y = 4 + x  ..(ii)

Substitute the value of x from (i) in above equation, we get;

⇒ 2y = 4 + 8 + y

Solve for y as;

⇒ 2y - y = 12

⇒ y = 12

Thus, The value of the smaller number will be 12.

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Applying the relationship of angle pairs, THE VALUE OF X AND THE GIVEN ANGLE MEASURES ARE:

Given:

m<2 = 3x - 11

m<5 = 7x + 46

Thus, find x:

<2 and <5 are same-side interior angles

m<2 + m<5 = 180 degrees (supplementary)

[tex]3x - 11 + 7x + 46 = 180\\[/tex]

[tex]10x +35 = 180\\\\10x = 180 - 35\\\\10x = 145\\\\\mathbf{x = 14.5}[/tex](Blue)

Find m<5:

Plug in the value of x into 7x + 46

[tex]m \angle 5 = 7(14.5) + 46\\\\\mathbf{m \angle 5 = 147.5^{\circ}}[/tex](Yellow)

Find <4:

m<4 = m<2 (vertical angles are congruent)

m<4 = 3x - 11

m<4 = 3(14.5) - 11

m<4 = 32.5 degrees (Pink)

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Elena's total cost (C) is 5(9.98 + 24.99 + x)

Since each dog leashes cost $9.98, each bag of dog food cost $24.99 and each crate of egg cost $x, hence:

Total cost (C) = 5 * $9.98 + (5 * 24.99) + (5 * x)

C = 5(9.98 + 24.99 + x)

Therefore Elena's total cost (C) is 5(9.98 + 24.99 + x)

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Answer:

y = x+18

Step-by-step explanation:

I'm not too sure about the terminology but I hope this helps!

In order to find the equation of any line, one can use the equation

(3,21) is the first named point; therefore, 3=x1 and 21=y1

Following the same logic, for the second point, 8=x2 and 26=y2.

Next, substitute these values into the equation above:

m = (21-26)÷(3-8)

m = -5/-5 = 1

Therefore, the gradient of this line is 1. So far our y=mx+c line equation has this information:

y=1x+c

Plugging in x and y values gives the y intercept (c):

21=3+c    (the values from point (8,26) can also be used here)

c = 18

Therefore, the line equation is y = x + 18

As a function, this could be f(x) = x + 18 (although I'm not too sure about this part!)

I hope this helped.

Answer:

Step-by-step explanation:

in the picture

Answer:

Any answer option is possible with the given information as we are not told where P is located.

Step-by-step explanation:

Here are the options:

IF P = (-2, -4) THEN Q = (-6, -1)

IF P = (-2, -2) THEN Q = (-6, 1)

IF P = (7, -5) THEN Q = (3, -2)

IF P = (6, -2) THEN Q = (2, 1)

Answer:

a

Step-by-step explanation:

The area for a peanut butter jar costing more than $4.25 is 0.0143.

Z score is used to determine by how many standard deviations the raw score is above or below the mean, The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x= raw\ score, \mu=mean, \sigma=standard\ deviation[/tex]

Given that μ = 3.68, σ = 0.26

For x > 4.25:

[tex]z=\frac{4.25-3.68}{0.26} =2.19[/tex]

From the normal distribution table, P(z > 2.19) = 1 - P(z < 2.19) = 1 - 0.9857 = 0.0143 = 1.43%

The area for a peanut butter jar costing more than $4.25 is 0.0143.

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Answer:

5.3

Step-by-step explanation:

The tenth means the first decimal place. The second 3 shows us that we need to round down, so the answer is just 5.3

Answer:

The answer is 5.3

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

Probability that it does not snow either day is [tex]\frac{13}{144}[/tex]

"Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are."

We have

The Probability that it will snow on Monday is [tex]\frac{8}{9}[/tex]

The Probability that it will snow on Tuesday is [tex]\frac{3}{16}[/tex]

According to the question,

The probability that it does not snow on Monday = 1 - [tex]\frac{8}{9}[/tex] = [tex]\frac{1}{9}[/tex]

The probability that it does not snow on Tuesday = 1 - [tex]\frac{3}{16}[/tex] = [tex]\frac{13}{16}[/tex]

So, the probability that it does not snow either day

= [tex]\frac{1}{9}[/tex] ×[tex]\frac{13}{16}[/tex]

= [tex]\frac{13}{144}[/tex]

Hence, Probability that it does not snow either day is  [tex]\frac{13}{144}[/tex] .

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Answer:

205

Step-by-step explanation:

3×60 + 25 = 205

therefore 3 minutes and 25 seconds is 205 seconds

Answer: 2-3 is 1

Step-by-step explanation:

Answer:

About $437.25

Step-by-step explanation:

Using the table which gives the annual premium per $1000; the premium paid annually by the 40 year old male is $437.23

The total annual premium = $75000

Using the data in the table :

Annual premium per $1000 of coverage for a 40-year old male with a 10 - years life insurance policy = $5.83

The annual premium for $75,000 ;

Premium per $1000 × ($75000/$1000)

Annual premium = $5.83 × ($75,000/1000)

Annual premium = $5.83 × 75 = $437.25

Hence, the annual premium for the lifetime insurance based on the stated conditions is $437.25

Answer:

f(x) = (x - 3)²- 2

Step-by-step explanation:

Given the graph of f(x), where it has the same shape as the graph of g(x) = x², but is shifted right by 3 units, and down by 2 units.

The horizontal translation of the parent graph parabola, g(x) = x²,  is represented by y = (x - h)², where the graph shifts by h units to the right, such that h > 0.  

The vertical translation of the parent graph is represented by y = f(x - h)² - k, where the graph is vertically translated by |k | units downward, such that k < 0.

Therefore, the equation that represents the vertical and horizontal translations of the graph is: f(x) = (x - 3)²- 2.

Answer:

x<7

  -8x + 56  =   -8 • (x - 7)

Divide both sides by  -8

Add  7  to both sides

x<7

The appropriate statistic to use in the analysis is that of repeated measures.

Repeated measures is a term for a way of collecting, analyzing, and evaluating statistics that involve multiple measures of the same variable or Subject.

According to the above, repeated measures are the appropriate statistic for the analysis of the blood pressure rate during three specific moments.

Note: This question is incomplete because the options are missing. Here are the options.

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