It was estimated that the united states would need 6200 more veterinarians in 2012. The percent error was 10%. if the estimate was low,how many were actually needed

QUESTION POSTED AT 14/12/2019 - 05:41 PM

Answered by admin AT 14/12/2019 - 05:41 PM

5580 veterinarians were actually needed. 

To find this you must find what is 10% of 6200. 

In math, of = multiplication

So you multiply 10% and 6200. In order to do so, you must turn the percentage into a decimal or fraction. So 0.1 x 6200

That should get you 620. However, that IS NOT your final answer, since 620 is only 10% of the total, not the amount needed.

To get the actual amount of veterinarians, you subtract 620 from 6200, and should get 5580, the final answer. 
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Related questions

The diameter of a circle is 10 millimeters. The circumference of the circle is 62.8 millimeters. True False

Well, to find a circles circumference, C=D* pi. if d =10, 10 * pi (or 3.14 for now), C= 31.4. so the answer is false. It is measuring distance as a radius instead of diameter. 

ANSWERED AT 22/01/2020 - 02:25 AM


QUESTION POSTED AT 22/01/2020 - 02:25 AM

To find the percent of a discount, ______________. A. find the percent of decrease from the original price to the new price. B. find the percent of increase from the new price to the original price. C. multiply the original price by the new price. D. divide the new price by the original price.

The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.

ANSWERED AT 22/01/2020 - 02:23 AM


QUESTION POSTED AT 22/01/2020 - 02:23 AM

Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Check all that apply. Ava’s graph is a vertical translation of f(x) = x2. Victor’s graph is a vertical translation of f(x) = x2. Ava’s graph moved 4 units from f(x) = x2 in a positive direction. Victor’s graph moved 4 units from f(x) = x2 in a positive direction. Ava’s graph has a y-intercept of 4. Victor’s graph has a y-intercept of 4.

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function  h(x) = x^2 + 4.

Victor graphs the function  g(x) = (x + 4)^2

To find y intercept we plug in 0 for x

 h(x) = x^2 + 4

 h(x) = 0 + 4= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function  h(x) = x^2 + 4

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function  g(x) = (x + 4)^2

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.


ANSWERED AT 22/01/2020 - 02:21 AM


QUESTION POSTED AT 22/01/2020 - 02:21 AM

Which undefined term is needed to define an angle?

90 dy gree angle that is whta i know

ANSWERED AT 22/01/2020 - 02:18 AM


QUESTION POSTED AT 22/01/2020 - 02:18 AM

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula? *1, –5, 25, –125, ... *2, 10, 50, 250, ... *3, –2, –7, –12, ... *4, 9, 14, 19, ...

Answer:

Option C. 3, -2, -7, -12....

Step-by-step explanation:

The sequence is defined recursively using the formula f(n+1) = f(n) - 5

We have to identify the sequence generated by this formula.

B). 1, -5, 25, -125.....

f(n+1) = -5 and f(n) = 1

Therefore - 5 = 1 - 5

⇒ -5 ≠ -4

This sequence is not following the formula.

B). 2, 10, 50, 250.........

f(n+1) = 10 and f(n) = 2

Now we use the formula

10 = 2 - 5

10 ≠ -3

This sequence is not following the formula.

C). 3, -2, -7, -12

f(n+1) = -2 and f(n) = 3

We put this value in the formula

-2 = 3 - 5

-2 = -2

Therefore , the sequence is following the formula.

D). 4, 9, 14, 19........

f(n+1) = 9 and f(n) = 4

9 = 4 - 5

9 ≠ -1

Therefore the formula is not applicable to form this sequence.

Option C. is the answer.

ANSWERED AT 22/01/2020 - 02:16 AM


QUESTION POSTED AT 22/01/2020 - 02:16 AM

Please help!!!! I'm terrible at algebra and I need your help!!!

It will be the third one

ANSWERED AT 22/01/2020 - 02:15 AM


QUESTION POSTED AT 22/01/2020 - 02:15 AM

What is the x-intercept of the line containing the points (-6,10) and (12,2)

First, find the slope,
m= \frac{y-y_1}{x-x_1}
m= \frac{10-2}{-6-12}
m= -\frac{4}{9}
Now using point slope form, pick a coordinate, I'll pick (12,2)
y-y_1=m(x-x_1)
y-2=- \frac{4}{9} (x-12)
y=-\frac{4 x}{9}+\frac{22}{3}
Now, when x-intercept, 'y' will be 0,
0=-\frac{4 x}{9}+\frac{22}{3}
x= \frac{33}{2}

ANSWERED AT 22/01/2020 - 02:09 AM


QUESTION POSTED AT 22/01/2020 - 02:09 AM

Triangle HIJ has coordinates H(–1, 1), I(1, 4), and J(1, 3). Graph the triangle and its translation 3 units to the right and 2 units down. What are the coordinates of I.

Answer:

(4,2)

Step-by-step explanation:

We have been given that triangle HIJ has coordinates H(-1,1), I(1,4) and J(1,3). We are asked to find the coordinate of point I after a translation of 3 units to the right and 2 units down.

The translation of 3 units to right means that we need to add 3 to x-coordinates.

The translation of 2 units down means that we need to subtract 2 from y-coordinates.

H(-1,1)\rightarrow H'(-1+3,1-2)=H'(2,-1)

I(1,4)\rightarrow I'(1+3,4-2)=I'(4,2)

J(1,3)\rightarrow J'(1+3,3-2)=I'(4,1)

Therefore, the coordinates of point I' after translation would be (4,2).

ANSWERED AT 22/01/2020 - 01:58 AM


QUESTION POSTED AT 22/01/2020 - 01:58 AM

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown. Which best describes the range of possible values for the third side of the triangle? x < 12.5, x > 18.9 12.5 < x < 18.9 x < 6, x > 26 6 < x < 26

So because we know that the 3rd side of a triangle not can being less than the difference of the first and second sides and so not can being greater than the sum of the first and second sides so from these result that the last one choice will be right sure 

6 < x < 26

ANSWERED AT 22/01/2020 - 01:52 AM


QUESTION POSTED AT 22/01/2020 - 01:52 AM

Which phrase best describes the translation from the graph y = 2x2 to the graph of y = 2x2 + 5? 5 units up 5 units down 5 units right 5 units left

You can get the graph of the function  y=2x^2+5 (blue curve) translating the graph of the function  y=2x^2 (red curve) 5 units up (see attached diagram with two plotted graphs).

Answer: correct choice is A.

ANSWERED AT 22/01/2020 - 01:44 AM


QUESTION POSTED AT 22/01/2020 - 01:44 AM

What are the factors of m2 – 12m + 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4

M^2 -12m +20 = m*m -10m -2m +20 = m(m-10) -2(m-10) = 

=(m-10)(m-2)

so the second choice is right sure 

ANSWERED AT 22/01/2020 - 01:43 AM


QUESTION POSTED AT 22/01/2020 - 01:43 AM

A jar contains 8 nickles, 10 dimes, 6 quarters, and 22 pennies. A coin in chosen at random from the jar. What is the probability that the coin chosen is a dime? A. 1/23 B. C. 45 D. 2730

Total coins=46 There are 10 dimes, so it is 10/46. If you reduce it the answer is 5/23. That is not one of the visible options, but there is no option for B so I could be right!

ANSWERED AT 22/01/2020 - 01:43 AM


QUESTION POSTED AT 22/01/2020 - 01:43 AM

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2? 6 unit left 6 unit right 1 unit left 1 unit right x

Answer:

Option C is correct.

Step-by-step explanation:

Given Graph : y=6x^2

Translated Graph : y=6(x+1)^2

We have to find phrase that best describes the translation.

Since Initial graph is of a parabola with vertex ( 0 , 0 )

And translated graph is also of parabola but with vertex ( -1 , 0 )

As the vertex of the graph shifted 1 unit to the left hand side.

Therefore, Option C is correct.

ANSWERED AT 22/01/2020 - 01:37 AM


QUESTION POSTED AT 22/01/2020 - 01:37 AM

Which equation is y = 6x2 + 12x – 10 rewritten in vertex form? y = 6(x + 1)2 – 11 y = 6(x + 1)2 – 10 y = 6(x + 1)2 – 4 y = 6(x + 1)2 – 16

Answer:

The correct option is 4.

Step-by-step explanation:

The given equation is

y=6x^2+12x-10

y=6(x^2+2x)-10

To make the vertex form of the given equation add and subtract (\frac{-b}{2a})^2 in the parenthesis.

(\frac{-b}{2a})^2=(\frac{-2}{2(1)})^2=1^2=1

Add and subtract 1 in the parenthesis.

y=6(x^2+2x+1-1)-10

y=6(x^2+2x+1)-6-10

y=6(x+1)^2-16

Therefore the correct option is 4.

ANSWERED AT 22/01/2020 - 01:37 AM


QUESTION POSTED AT 22/01/2020 - 01:37 AM

MACRS depreciates automobiles in 6 years using these percents: 20% the first year; 32% the second year; 19.2% the third year; 11.52% the fourth and fifth years; and 5.76% the sixth year. For an automobile that cost $30,000, what is the book value at the end of the third year? (Hint: To start, calculate the annual and accumulated depreciation for the first three years.)

Answer:

The book value at the end of the third year is $8640.

Step-by-step explanation:

Book value at end of year = Original Cost - Accumulated Depreciation

The automobile cost is $30000.

After 1st year, the depreciation will be =0.20\times30000=6000

After 2nd year the depreciation will be = 0.32\times30000=9600 dollars

Similarly after 3rd year the depreciation will be = 0.192\times30000=5760

Now, adding all the depreciation amounts:

6000+9600+5760=21360 dollars

Book Value at end of year = 30000-21360=8640 dollars

Therefore, the book value at the end of the third year is $8640.

ANSWERED AT 22/01/2020 - 01:37 AM


QUESTION POSTED AT 22/01/2020 - 01:37 AM

The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial? x5 – 3x3 – 2x2 – 10x + 10 x7 – 8x5 – 3x4 + 5x3 + 30x2 + 50x – 75 x3 + 2x – 3 x5 – 3x3 – 4x2 – 10x + 20

The polynomial  x^5 - 3x^3- 3x^2- 10x + 15 has 5th degree and the polynomial  x^2- 5 has 2nd degree, then the quotient is the polynomial of 5-2=3rd degree.

Only option 3 can be correct. Let check that polynomial  x^3 + 2x - 3 is a quotient:

 (x^3 + 2x - 3)( x^2- 5)=x^5-5x^3+2x^3-10x-3x^2+15=x^5-3x^3-3x^2-10x+15  - true.

Answer: correct choice is C.

ANSWERED AT 22/01/2020 - 01:35 AM


QUESTION POSTED AT 22/01/2020 - 01:35 AM

Simplify the expression. 9(10+5) divide (6-5) 17 95 85 135

135 because 10+5= 15. 15(9)=135. 6-5=1. so 135/1=135

ANSWERED AT 22/01/2020 - 01:35 AM


QUESTION POSTED AT 22/01/2020 - 01:35 AM

A pair of shoes costs $52.99 and the state sales tax is 8%. Use the formula C = p + rp to find the total cost of the shoes, where C is the total cost, p is the price, and r is the sales tax rate. $95.38 $78.19 $60.99 $57.23

The total cost is the sum of the original and the sales tax which is presented in the equation, 
                                            C = p + rp
Substituting the known values to the equation, 
                                   C = $52.99 + (0.08)($52.99)
                                          C = $57.23
Thus, the answer is the fourth among the choices. 

ANSWERED AT 22/01/2020 - 01:34 AM


QUESTION POSTED AT 22/01/2020 - 01:34 AM

Which polynomial is prime? 7x2 – 35x + 2x – 10 9x3 + 11x2 + 3x – 33 10x3 – 15x2 + 8x – 12 12x4 + 42x2 + 4x2 + 14

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the polynomials we have to choose the polynomial which is prime.

A polynomial with integer coefficients that cannot be factored into lower degree polynomials are Prime polynomials.

7x^2 - 35x + 2x - 10

7x(x-5)+2(x-5)

(7x+2)(x-5)

can be factored ∴ not a prime polynomial.

9x^3 + 11x^2 + 3x - 33

x^2(9x+11)+3(x-11)

cannot be factored ∴ prime polynomial.

10x^3 - 15x^2 + 8x - 12

5x^2(2x-3)+4(2x-3)

(5x^2+4)(2x-3)

can be factored ∴ not a prime polynomial.

12x^4 + 42x^2 + 4x^2 + 14

6x^2(2x^2+7)+2(2x^2+7)

(6x^2+2)(2x^2+7)

can be factored ∴ not a prime polynomial.

The second polynomial can not be factored into lower degree polynomial therefore, prime polynomial.

ANSWERED AT 22/01/2020 - 01:31 AM


QUESTION POSTED AT 22/01/2020 - 01:31 AM

Solve each quadratic equation. Problem: x^2 + 3x = 10 Answer: x = 2, -5 Can you please show me how to solve it? Show your work! Work it out!

X^2 +3x = 10 subtract from both sides 10 and will get 

x^2 +3x -10 = 10 -10

x^2 +3x -10 = 0

x*x +5x -2x +5(-2) = 0

x(x+5) -2(x+5) = 0

(x+5)(x-2) =0

x +5 =0
x = -5

x-2 =0
x = 2

ANSWERED AT 22/01/2020 - 01:27 AM


QUESTION POSTED AT 22/01/2020 - 01:27 AM

Solve this system of equations algebraically: y – 10 = 11x + x2 y – 12x = 30 The first solution is (–4, –18). The second solution is (, ).

Y - 10 = 11 x + x²
y - 12x = 30
____________
y = 12 x + 30
12 x + 30 - 10 = 11 x + x²
x² - x - 20 = 0
x (12) = 1+/- √ (1 + 80 ) /2
x 1 = (1 - 9) / 2 = -4
x 2 = ( 1 + 9 ) /2
x 2 = 5
y 2 = 30 + 12 · 2 = 30 + 60 = 90
The second solution is:
( 5, 90 ).  

ANSWERED AT 22/01/2020 - 01:26 AM


QUESTION POSTED AT 22/01/2020 - 01:26 AM

If a regular polygon has exterior angles that measure 40 degrees each, how many sides does the polygon have? A. 10 B. 9 C. 6 D. 8

The answer to this problem is B.9 [apex] boi

ANSWERED AT 22/01/2020 - 01:26 AM


QUESTION POSTED AT 22/01/2020 - 01:26 AM

The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)? h(x) = x2 – 13x – 30 h(x) = x2 – 7x – 30 h(x) = 2x2 + 26x – 60 h(x) = 2x2 + 14x – 60

Any of the choices that would give a value of 0 for h(x) when x is substituted with 3 and -10 should be the answer.

(1)  h(3) = 3² -(13)(3) - 30 = -60        ; h(-10) = (-10)² - (13)(-10) - 30 = 200
(2)  h(3) = 3
² – (7)(3) – 30 = -42        ; h(-10) = (-10)² – (7)(-10) – 30 = 140
(3)  h(3) = (2)(3
²) + 26(3) – 60 = 36  ; h(-10) =(2)(-10)² + 26(-10) – 60 = -120
(4)  h(3) = (2)(3
²) + 14(3) – 60 = 0     ; h(-10) = (2)(-10)² + 14(-10) – 60 = 0

Thus, the answer is the last among the choices. 

ANSWERED AT 22/01/2020 - 01:25 AM


QUESTION POSTED AT 22/01/2020 - 01:25 AM

Consider the functions f(x) = 2x + 1 and g(x) = x2 − 10. What is the value of f[g(3)]? 39 −3 −7 −1

Answer:

Option (d) is correct.

f[g(3)]=-1

Step-by-step explanation:

Given : f(x)=2x+1 and g(x)=x^2-10

We have to find the value of f[g(3)]

Since, we have to calculate f[g(3)]

f[g(3)] represents a composition of function f(x) and g(x)

We first find g(3) that is value of g at x = 3

Substitute x = 3 in g(x), we have,

g(x)=x^2-10 thus, at x = 3 , we have

g(3)=3^2-10=9-10=-1

now, f[g(3)]  becomes f[-1]

Thus, now we calculate f(x) at x = -1

thus we have,

f(x)=2x+1  at x = -1 , we have,

f(-1)=2(-1)+1=-2+1=-1

Thus,  f[g(3)]=-1

Option (d) is correct.

ANSWERED AT 22/01/2020 - 01:23 AM


QUESTION POSTED AT 22/01/2020 - 01:23 AM