Yvonne is interested in testing the effectiveness of a new flea medication on
dogs, so she divided some dogs with fleas into two groups, group A and
group B. She gave group A the flea medication. Should she also give group B
the flea medication?
A. Yes, because group A is already the control group
B. Yes, because group B should be the control group
C. No, because group A is already the control group
D. No, because group B should be the control group

Should I simplify? Get  the factor? Multiply? Evaluate? Can you tell me?

Answer:

D) p³ + 2; when p = 3 the number of plants is 29.

Step-by-step explanation:

Illiana cubed (³) the number of original plants, p, in the garden. Then, she added 2 more plants. We will use n for the number of total plants.

So, the equation should be p³ + 2. Substitute our value for p into the equation and solve.

p³ + 2 = n

3³ + 2 = n

27 + 2 = n

29 = n

There are 29 total plants.

The answer, then, is the last option, p³ + 2; when p = 3 the number of plants is 29.

Good luck ^^

Answer:

x+6 and x+2 are factors

Step-by-step explanation:

x²+8x+12

(x+6)(x+2)

So x+6 and x+2 are factors of x²+8x+12

Answer:

500n 60n

Step-by-step explanation:

Answer:

Slope =-7, y intercept =12

Step-by-step explanation:

y-Mx+b where m is slope and b is y-intercept.

Slope is -7

y intercept is 12

Answer:

90

Step-by-step explanation:

First you do s^2. In this case s is 3 and 3x3=9. Then multiple 9 by r. 9x2=18. Finally, multiply 18 by t. 18x5=90. The solution is 90

Step-by-step explanation:

4.5(9+d)-6

6.3h-j

8.r(s)²(t)

hope it helps.

I hope this helps you

if there two acut angles that add to form a right angle) 90°).

4x+2x+6=90

6x=84

x=14°

Answer:

b

Step-by-step explanation:

Answer:

<

A

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

9514 1404 393

Answer:

  32 ft^2

Step-by-step explanation:

The area can be figured several ways. Here are two of them.

__

Add components

The figure can be divided into two smaller rectangles, (b) and (d) in the attached drawing. The area of each is the product of its dimensions.

  Area b = (4 ft)(3 ft) = 12 ft^2

  Area d = (10 ft)(2 ft) = 20 ft^2

Area of the figure is Area b + Area d = 12 ft^2 + 20 ft^2 = 32 ft^2.

__

Subtract white space

The figure is bounded by an overall rectangle that is 10 ft wide and 5 ft high. The area of that rectangle is

  Area a+b+c+d = (10 ft)(5 ft) = 50 ft^2

The area of whitespace 'a' is ...

  Area a = (3 ft)(3 ft) = 9 ft^2

Area c has the same dimensions, so the same area. The area of the figure is the area of the bounding rectangle less the area of the two corner white spaces (a) and (c).

Area of the figure is ...

  Area a+b+c+d -Area a -Area c = 50 ft^2 -9 ft^2 -9 ft^2 = 32 ft^2.

by process:

√×=n√an×x

hope itz helpful

Answer:

Sort them from lest to greast

0, 2, 3, 5, 7, 10, 12, 13

the median is 6

the lower quartile is (0, 2, 3, 5)

the upper quartile is (7,10,12,13)

Step-by-step explanation:

The answers of statements along with their reasons are given as follows

1.) AE bisects BD

2.) BC is congruent to CD

3.) Angle 1 is equal to Angle 2

4.) AC is congruent to CE

5.) Triangle ABC is congruent to Triangle EDC

option (D) 28 √6 is the answer

Explanation :

p =3√6 + 2√24 + 7√54

3√6 + 2√2×2×6+ 7√3×3×6

3√6 +2 ×2√6 + 7 ×3√6

3√6 +4√6 + 21√6

28√6

Answer:

2 units

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

[tex]\sqrt[2]{x-3^3}[/tex] = 64

[tex]\sqrt[2]{x-3^3}[/tex] = 4³

multiply each side by the exponent 2/3 so the radical sign on left is removed

([tex]\sqrt[2]{x-3^3}[/tex])^2/3 = (4³)^2/3

x - 3 = 4²

x - 3 = 16

x = 19

Answer:

-52

Step-by-step explanation:

Answer:

503

Step-by-step explanation:

10 squared is 100

so you get 5x100+3

multiply 5x100 to get 500

add 500+3 and you get 503

Answer:

5.03*10^2 in Scientific notation

503 in expanded form

Answer:

Horizontal side: 7 ft

Vertical side: 12 ft

Area: 286 ft

Step-by-step explanation:

horizontal: 25 - 18 = 7

vertical: 10 + 2 = 12

area= (25x12) - (2x7) = 286

Answer: AB=21.88 mm, BC=51.54 mm

Step-by-step explanation:

Given

[tex]\angle A=67^{\circ}[/tex]

[tex]AC=56\ mm[/tex]

The other two sides can find out using trigonometry

[tex]\Rightarrow \sin 67^{\circ}=\dfrac{BC}{AC}\\\\\Rightarrow \sin 67^{\circ}=\dfrac{BC}{56}\\\\\Rightarrow BC=56\sin 67^{\circ}\\\Rightarrow BC=51.54\ mm[/tex]

Similarly, for AB

[tex]\Rightarrow \cos 67^{\circ}=\dfrac{AB}{AC}\\\\\Rightarrow \cos 67^{\circ}=\dfrac{AB}{56}\\\\\Rightarrow AB=56\cos 67^{\circ}\\\Rightarrow AB=21.88\ mm[/tex]

Angle C is given by

[tex]\angle C=90^{\circ}-67^{\circ}\\\angle C=23^{\circ}[/tex]

Answer:

1234567891011121314151617181920

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

11 m= 3      12 slope is 4 and y intercept is 2

Step-by-step explanation:

11 slope = gradient of a line                            formulae        y2-y1  / x2 - x1  

12-6 / 4-2 =3                                

12 slope is the gradient so and is found as m in the equation y=mx + c

so 4 is the slope and the y intercept is where x= 0 so y = 2

Answer:

Step-by-step explanation:

Profit, P(x), is the difference between revenue, R(x), and cost, C(x)

R(x) = 2x^4 - 3x^3 + 2x - 1

C(x) = x^4 -x^2 + 2x + 3

Substituting into the equation

P(x) = R(x) - C(x)

= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)

= x^4 - 3x^3 + x^2 - 4

The answer is the lower left option.

Answer:

[tex]P(x)=x^4-3x^3+x^2-4[/tex]

(This is the option found in the lower-left corner)

Step-by-step explanation:

When given the following functions,

[tex]R(x)=2x^4-3x^3+2x-1[/tex]

[tex]C(x)=x^4-x^2+2x+3[/tex]

The problem asks one to find ([tex]P(x)[/tex]), moreover, one is given the following information,

[tex](P(x))=(R(x))-(C(x))[/tex]

Substitute,

[tex]P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)[/tex]

Simplify, multiply everything in the second parenthesis by the negative sign outside of it,

[tex]P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3[/tex]

Combine like terms, only operations between coefficients of the same variable with the same degree (exponent) can be performed,

[tex]P(x)=x^4-3x^3+x^2-4[/tex]

Answer:

17 (17.027)

Step-by-step explanation:

BC : EF = 30:37

so if

30/ x = 37/21

x = AC.

cross multiply then isolate variable

Answer:

B

Step-by-step explanation:

I am smart

Answer:

B

Step-by-step explanation:

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.