In which step did the veterinarian make the first error?
Step 1
Step 2
Step 3
Step 4

Answer:

m

Step-by-step explanation:

vfmjj vdzaazb knkuvggb

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Answer:

Step-by-step explanation:

find x from the given triangle.

first step is to get x

add all inside angles = 180

∠2 + ∠3 + ∠4 = 180

x + 40 + 5x + 14 = 180

x + 5x = 180 - 40 - 14

6x = 126

x = 126 / 6

x = 21

substitute x=21 into angle 4

∠4 = 5x + 14

∠4 = 5(21) + 14

∠4 = 119

lastly, add ∠1 + ∠4 = 180

∠1 + 119 = 180

∠1 = 180 - 119

∠1 = 61°

therefore, the answer is D. 61

Answer:46

Step-by-step explanation:

The amount of outdoor carpet needed is 40 ft².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Area of a rectangle = length × width.

The amount of square feet of outdoor carpet needed

= area of the largest rectangle in the image - (area of medium rectangle + area of the smallest rectangle)

The amount of square feet of outdoor carpet needed

= 12 × 4 - (3 × 2 + 2 × 1)

= 48 - (6 + 2)

= 40 ft²

Thus, 40 ft² outdoor carpet needed.

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Answer: 14 - 5i

Step-by-step explanation:

Answer:

-10i+15 or 15-10i

Step-by-step explanation:

Use the cross multiply method

(4+1)(3-2i)

4x3=12

4x-2i=-8i

1x3=3

1x(-2i)=-2i

now we sum our similarities.

-10i+15

Answer:2

Step-by-step explanation:

Based on the intersecting secants theorem:

a. CG*CE = CH*CD

b. length of DH = 10 in.

When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.

a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:

CG*CE = CH*CD

b. Given the following lengths:

CG = 3 in, CH = 2 in, and GE = 5 in

CE = CG + GE = 3 + 5 = 8 in.

CD = CH + DH = 2 + DH

Substitute into CG*CE = CH*CD:

3*8 = 2*(2 + DH)

24 = 4 + 2DH

24 - 4 = 2DH

20 = 2DH

20/2 = DH

DH = 10 in.

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Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

The volume of the prism is 48 cm³.

We are given that;

The dimensions 3cm by 4cm by 5cm

Now,

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

We can choose 3 cm and 4 cm as the base and height of the triangle.

Plugging in the values, we get:

Area of triangle=21​×3×4

Area of triangle=6

So, the area of the base is 6 cm sq,

To find the volume of the prism, we can multiply the area of the base by the height of the prism. This gives us:

Volume=6×8

Volume=48

Therefore, by the volume the answer will be 48 cm³.

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Answer:

is 15.2

Step-by-step explanation:

total no of cards = 40

p(blue) = 8 out of 40

p(orange) = 8 out of 40

p(blue or orange ) = 16 out of 40

16÷40 = 2/5.

Answer 58 1/2:

Step-by-step explanation:

Answer:

ok, here is your answer

Step-by-step explanation:

Using the formula for compound interest:

A = P (1 + r/n)^(nt)

where:

A = the total amount

P = the principal amount

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Given:

P = €250

r = 9% = 0.09

n = 1 (compounded annually)

t = 3 years

Now, substituting the given values in the formula:

A = 250 (1 + 0.09/1)^(1*3)

A = 250 (1 + 0.09)^3

A = 250 (1.09)^3

A = 250 (1.29503)

A = €323.76 (rounded to two decimal places)

Therefore, the balance in the account at the end of 3 years would be €323.76.

We may count the total number of letter permutations and then deduct the number of permutations in which at least one letter is present in its original location to get the number of permutations in which no letter appears in its original place.

A collection of n letters can be arranged in n! different ways, where n! is the factorial of n, which is the sum of the first n positive numbers. The set "a, b, c," for instance, has the following 3! = 6 permutations: (a, b, c), (a, c, b), (b, a, c), (b, c, a), (c, a, b), and (c, b, a).

|A[1] A[2] ... A[n]| equals |A[1]| + |A[2]| +... + |A[n]| minus |A[1] A[2]| minus |A[1] A[3]| minus... - |A[n-1] A[n]| + |A[1] A[2] A[3]|

The first term adds the sizes of each set, the second word adds the sizes of their intersections, and so on.

Therefore, there are 3! - 3 = 3 permutations in which no letter appears in its original position.

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The missing value in the table include the following: B. 4 1/2 in.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;

50 5/8 = 5 × W × 2 1/4

Width, W = 4 1/2 inches.

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Complete Question:

The volume of a rectangular prism is 50 5/8 cubic inches.

The dimensions are given below.

What is the missing value in the table?

Length Width Height

5 in. 214 in.

A. 79in.

B. 412in.

C. 134in.

D. 1018in.

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

43 cents

Step-by-step explanation:

Comment

This question requires that you round up no matter what the remainder is. If you round down following the rounding rules, you will not have enough buttons.

Part A

Givens

Total = 38 buttons

Number of buttons in a package = 8

Solution

Packages = 38 / 8 = 4.75

You must round up so she will need 5 packages.

Part B

She had to buy 40 buttons from 5 packages.

1 package contains 8 button

The cost of 8 buttons is 3.44

The cost of 1 button 3.44/8 = .43 dollars or 43 cents

Answer:

13. The more passengers, the more Subway cars are needed; 15. There's more weight with the more packages?

Step-by-step explanation:

In the quadratic equation y = a\(x^{2}\) + c ,the value of x = ± \(\sqrt \frac{y-c}{a}\)

A quadratic equation is any equation containing one term wherein the unknown is squared and no term wherein it's far raised to a higher power.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, in which a and b are the coefficients, x is the variable, and c is the constant term.

To find the value of x

Assuming \(a\neq o\)

First, subtract c from both the sides to get:

\(y-c=ax^{2}\)

then, divide both sides by \(a\) and transpose to get:

\(x^{2} =\frac{y-c}{a}\)

So, \(x\) must be a square root of \(\frac{y-c}{a}\)  and we can deduce:

\(x=\) ± \(\sqrt \frac{y-c}{a}\)

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Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

Answer:

А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Step-by-step explanation:

Given that,

Length of fabric = 1.3 meters

We know that,

1 m = 100 cm

⇒1.3 m = (1.3)×100 = 130 cm

⇒1.3 m = 130 cm

Now,

We know that

1 inch = 2.54 cm

and

1 cm = 0.3937 inches

⇒130 cm = (130)×(0.3937) inches

               = 51.181 inches

⇒130 cm = 51.181 inches

Now,

Given that,

Cost of 1 inch = $0.45

⇒Cost of 51.181 inches = $(51.181)×(0.45)

                                     = $ 23.03

∴ we get

The cost of fabric = $23.03

and

The correct option is - А . Marcos made an incorrect conversion from centimeters to inches. The correct price is $23.03.

Answer:

Three inches

Step-by-step explanation:

If 1 inch is = to 2 ft, and Andy has a length of 6ft for his tree house:

6/2 = 3

The Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

Two or more expressions with an Equal sign is called as Equation.

Predetermined overhead rate for Finishing Department = $550,000 / 500,000 direct labor hours = $1.10 per direct labor hour

Predetermined overhead rate for Production Department = $400,000 / 80,000 direct labor hours = $5.00 per direct labor hour

For one unit of table lamp, 2 hours of finishing and 1 hour of production are required, so the total direct labor hours for one unit of table lamp is 2 + 1 = 3 hours.

Finishing Department overhead cost per unit of table lamp = 2 hours * $1.10 per direct labor hour = $2.20

Production Department overhead cost per unit of table lamp = 1 hour * $5.00 per direct labor hour = $5.00

Total factory overhead cost per unit of table lamp

$2.20 + $5.00 = $7.20

Therefore, the Kaumajet Factory will allocate $7.20 of factory overhead to each unit of table lamp using the multiple production department factory overhead rate method with an allocation base of direct labor hours.

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The Kaumajet Factory produces two products-table lamps and desk lamps. It has two separate departments - Finishing and Production. The overhead budget for the Finishing Department is $550,000, using 500,000 direct labor hours. The overhead budget for the Production Department is $400,000 using 80,000 direct labor hours.

If the budget estimates that a table lamp will require 2 hours of finishing and 1 hour of production, how much factory overhead will the Kaumajet Factory allocate to each unit of table lamp using the multiple production department factory overhead rate methods with an allocation base of direct labor hours?

a. $4.91

b. $6.33

c. $7.20

d. $5.00

Answer:

let g = number of guests. if each guest is to have 3 cups we represent this as

3g

for the additional 20 cups, we add 20

3g + 20

Answer: 3g + 20

Step-by-step explanation:

hope this helps

9514 1404 393

Answer:

  1/4 mile

Step-by-step explanation:

The length and width of a square are the same.

The length is 1/4 mile, so the width of the park is 1/4 mile.

A square park has an area of 1/16 square miles and a length of 1/4 mile. What is the width of the park?

\(\quad \quad \quad \boxed{ \tt{width = \frac{area}{length}}}\)

\(\quad \quad \quad{\tt{w = \frac{1}{16} \div \frac{1}{4} = \boxed{\tt{0.25}}}}\)

\(\quad \quad \quad \boxed{ \tt{w = 0.25}} \: ➡ \boxed{ \tt{w = \frac{1}{4}}}\)

\(\boxed{ \tt{w = \frac{1}{4}}}\)

_________

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