A vet bill for your dog is $145. The bill includes $23 per vaccination shot and a $53 office fee. How many shots did your pet receive?

Answer:

The slope of the line is \(\frac{9}{2}\) (nine over two)

Step-by-step explanation

Have a nice day

Answer:

1/6 for white and 1/2 for black

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

4/15

Step-by-step explanation:

There are 6 white+4black = 10 marbles in the bag

P (white) = white marbles / total marbles = 6/10 = 3/5

We keep the marble

There are 5 white+4black = 9 marbles in the bag

P (black) = black/total = 4/9

P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15

Step-by-step explanation:

raise 1³ and 4³:

1×1×1 = 1 and 4×4×4 = 64

so the result is 1/64

Answer: Carla: 5, Jim: 6, Peter: 9

Step-by-step explanation:

Let c be Carla's age, j be Jim's age, and p be Peter's age.

We can set up equations.

We already know that c = 5

j + 13 = p

p-1 = 2(c - 1 + j - 1)

Combine like terms:

p - 1 = 2(c + j - 2)

Distribute:

p - 1 = 2c + 2j - 4

p + 3 = 2c + 2j

We can plug in the value of 5 for c.

p + 3 = 10 + 2j

2j + 7 = p

We can plug in j + 13 for p.

2j + 7 = j + 13

Combine like terms:

j = 6

Therefore, p = 6 + 13 = 9

The angle οf elevatiοn is 63.4 degrees.

Angle οf elevatiοn is the angle between the hοrizοntal line οf sight and an οbject abοve the οbserver. It is measured with an angle starting frοm the hοrizοntal line and increasing in the upward directiοn. It is alsο knοwn as the angle οf elevatiοn οr inclinatiοn. The angle οf elevatiοn is used in navigatiοn, astrοnοmy and trigοnοmetry.

Tο find the angle οf elevatiοn, we can use the fοrmula fοr finding angles in a triangle. This fοrmula states that the sum οf all angles in a triangle is 180 degrees. Tο sοlve fοr the angle οf elevatiοn, we need tο begin by first finding the length οf the οppοsite side οf the triangle. This is dοne by subtracting the distance οf the snake frοm the fοοt οf the pοle frοm the height οf the pοle.

Therefοre, the length οf the οppοsite side οf the triangle is 7 feet. Nοw, we can use the tangent fοrmula tο sοlve fοr the angle οf elevatiοn. This fοrmula states that the tangent οf an angle is equal tο the length οf the οppοsite side divided by the length οf the adjacent side.

Let's find the angle of elevation.

tan ∅ = opposite / adjacent

where

∅ = angle of elevation

Therefore,

tan ∅ = 27 / 20

∅ = tan⁻¹ 1.35

∅ = 53.471144633

∅ = 53.5 degrees

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Answer:

Simplify:

\(\frac{( {x}^{2} + 6x + 9) }{x - 3} \)

Factoring:

\( {x}^{2} + 6x + 9\)

The first term is, x2 its coefficient is 1 .

The middle term is, +6x its coefficient is 6 .

The last term, "the constant", is +9

Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9

Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is 6 .

-9 + -1 = -10

-3 + -3 = -6

-1 + -9 = -10

1 + 9 = 10

3 + 3 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 3

\( {x}^{2} + 3x + 3x + 9\)

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x+3)

Add up the last 2 terms, pulling out common factors :

3 • (x+3)

Step-5 : Add up the four terms of step 4 :

(x+3) • (x+3)

Which is the desired factorization.

Multiply (x+3) by (x+3)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (x+3) and the exponents are :

1 , as (x+3) is the same number as \((x+3) {}^{1}\)

and 1 , as (x+3) is the same number as\((x + 3) {}^{1} \)

The product is therefore, \((x + 3) {}^{(1 + 1)} = (x + 3) {}^{2} \)

At the fidelity credit union, the mean number of customers who arrive hourly at the drive-through window is 4.9. It is required to determine the probability of fewer than 1 customer arriving in any hour.

Answer: 0.00796.

The solution to this problem is discussed below:

The given information implies that the mean value of the Poisson distribution, λ = 4.9.

In a Poisson distribution, the probability of x occurrences during a particular interval is given by:

P(x; λ) = e–λ λx / x!

Where e is approximately equal to 2.71828.

Let x = 0 since we need the probability of less than 1 customer in an hour.

P(x < 1) = P(x = 0) + P(x = 1) + P(x = 2) + …P(x < 1) = e-4.9 4.90 / 0!P(x < 1) = e-4.9 1P(x < 1) = 0.00796

The probability of fewer than 1 customer arriving in any hour is 0.00796 (rounded to four decimal places)

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Answer:

18 bottles of water for $10 because each bottle costs 56c compared to 6 bottles of water for $4 at 67c

Step-by-step explanation:

All values rounded to the hundredth

6 bottles of water for $4

4/6=0.67

Each bottle costs 67c

18 bottles of water for $10

10/18=0.56

Each bottle costs 56c

g(h(0)):

answer: g[h(0)]=3

Answer:

3/2 is the slope of red line

Step-by-step explanation:

The slope of a line that is perpendicular to another line is the reciprocal.

The reciprocal is when the numerator and denominator switch places. For example, the reciprocal of 2/3 us 3/2

We know that the slope of green line is 2/3.

So all we got to do is to find the reciprocal of 2/3, which is 3/2 as listed above.

So the slope of the red line is 3/2.

This is correct because i just learned this like 2 weeks ago and got good scores

The linear equation of the line that passes through point (-4,-2) and has a slope of -3 is y = -3x - 14.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point ( -4, -2 )

First we calculate the y-intercept 'b' using the equation of line formula.

y = mx + b

Plug in point ( -4, -2 ) and slope -3.

-2 = -3(-4) + b

-2 = 12 + b

b = -2 - 12

b = -14

Now that we have the values of slope m and y-intercept b, plug these into y = mx + b to determine the equation of the line.

y = mx + b

y = -3(x) + ( -14 )

y = -3x - 14

Therefore, the equation of the line is y = -3x - 14.

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Answer:

no

Step-by-step explanation:

Answer:

No, a parallelogram means that the opposite sides don't meet (are parallel), so a triangle isn't. A triangle has only three sides, and they all meet up.

Step-by-step explanation:

Answer: Equivalent

Step-by-step explanation:

There is the same amount of red filling in the boxes in both.

Answer:

a or =

Step-by-step explanation:

5th are like half of ten

By finding the average rate of change, we can see that:

a) The cost decreases.

b) The cost increases.

To check that, we need to find the average rate of change on the interval.

Remember that for function f(x) on an interval (a, b), the average rate of change is:

R = (f(b) - f(a))/(b - a)

Here the cost function is:

c(n) = 0.25*n² - 10n + 800

a) In the interval [10, 15] the average rate of change is given by:

R = (c(15) - c(10)/(15 - 10)

Where:

c(15) = 0.25*15^2 - 10*15 + 800 = 706.25

c(10) = 0.25*10^2 - 10*10 + 800 = 725

Then the average rate of change is:

R = (706.25 - 725)/(15 - 10) = -3.75

This means that between 10 and 15 light fixtures, the cost is decreasing.

b) Now we have the interval [20, 25], so let's do the same ting:

c(20) = 0.25*20^2 - 10*20 + 800 = 700

c(25) = 0.25*25^2  - 10*25 + 800 = 706.25

Here the average rate of change is:

R = (706.25 - 700)/(25 - 20) = 1.25

It is positive, which means that the cost is increasing.

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Answer:

\(\dfrac{7}{3}\pi \text{ ft.}\)

Step-by-step explanation:

The distance traveled is just the circumference of the wheel

Circumference of a circle of radius r = 2πr

Here
\(r= 1 \dfrac{1}{6}\)

Convert this mixed fraction to an improper fraction:
\(1\dfrac{1}{6}=\dfrac{1\cdot 6+1}{6} = \dfrac{7}{6}\)

Therefore circumference of the wheel:
\(2\pi\cdot \dfrac{7}{6} = \dfrac{7\pi}{3}\)

Answer: Last choice: \(\dfrac{7}{3}\pi\) ft

The distance travelled by the wheel in one rotation is  7π/3 ft.

The circumference of a circle is the distance around the circle.

It is expressed as;

C = 2πr

Where r is the radius

Given that;

First, convert the radius from mixed to improper fraction.

Radius r = 1 1/6

Radius r = ( 1 × 6 + 1 )/6

Radius r = ( 6 + 1 )/6

Radius r = 7/6

Now, plug r = 7/6 into the above formula and simplify.

C = 2πr

C = 2π × 7/6

C = 14π/6

Cancel out the common factor of 14 and 6 which is 2

C = 7π/3 ft

Therefore, the distance is 7π/3 feet.

Option D) 7π/3 ft is the correct answer.

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Answer:

Y = 1210 - 110X

In X days, The number of free coffee will be given

Answer: y>(1/3)x-3

Step-by-step explanation: The slope is 1/3. The dotted line means it is not inclusive, and the value of k means it is going down three units.

The values that a correlation r can possibly take are -1  ≤  r  ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates:  no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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Answer:

B. $61600

Step-by-step explanation:

Increase the initial value by 10%.

56000 × (1 + 10%)

56000 × (1.1)

= 61600

The budget for the new year is $61600.

Answer:

B. 61,600

Step-by-step explanation:

i took the test

The coordinate space to P6 is isomorphic is B. R5

Given, P6 isomorphic to R5P6 denotes the projective space of dimension 6 over the field of two elements. Here, we need to identify the coordinate space to which P6 is isomorphic. Projective spaces are important in algebraic geometry, topology, and related fields. They are special cases of projective varieties, and subtle properties of projective spaces often have algebraic geometry ramifications.

The projective space is the space of all one-dimensional linear subspaces of a vector space. The coordinates of a point in a projective space are homogeneous coordinates, and the transformation which corresponds to an invertible linear transformation of the underlying vector space. Hence, P6 is isomorphic to R5 because the homogenous coordinates are 6-tuples up to scaling, while the latter space consists of vectors of length 5 over the real numbers. So the correct answer is B. R5.

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If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

17.5 hour

Mean = (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours

The mean of the variable is calculated by multiplying the value of each individual category with its probability, and then summing the resulting values. In this case, the mean is calculated as (5x0.15) + (15x0.28) + (20x0.31) + (25x0.26) = 17.5 hours. This indicates that the average number of hours worked by the part-time employees is 17.5 hours per week.

the complete question is :

Consider the following table of hours worked by part-time employees. These employees must work in 5 hour blocks.Weekly hours worked Probability5 0.1515 0.2820 0.3125 0.26Find the mean of this variable.

Weekly hours   worked Probability

5                              0.15

15                            0.28

20                           0.31

25                           0.26

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Answer:

7 9/10 pounds

Step-by-step explanation:

Answer:

7 9/10 would be the best answer

To solve this expression, we can use the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (performed left to right), and Addition and Subtraction (performed left to right).

Following this order, we first need to evaluate the exponent, which gives:

1000^3 = 1,000,000,000

Then, we can substitute this value back into the expression:

1000 + 1000^3 = 1000 + 1,000,000,000 = 1,000,000,000 + 1000 = 1,000,001,000

Therefore, 1000 + 1000^3 equals 1,000,001,000.

Answer: 8000000000

Step-by-step explanation:

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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Answer:

$69.54

Step-by-step explanation:

It is crystal size and rock texture.

Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.

Thanks,

As the last answer for today.

Happy Thanksgiving

- Eddie E.

Answer: 50

Step-by-step explanation:

equation is 5x-40+150=360

combine like terms = 5x+110=360
Subtract 110 from both sides = 5x=250
x=50

Answer:

d

Step-by-step explanation:

here is the answer -option d