The frequency table shows the scores from rolling a dice.

Score Frequency
1 3
2 8
3 8
4 5
5 8
6 3


Work out the mode.

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.

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.

Answer:

-52

Step-by-step explanation:

by process:

√×=n√an×x

hope itz helpful

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: 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:

160x^64+160x^2

hope this helps

have a good day :)

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:

1234567891011121314151617181920

Step-by-step explanation:

Answer:

k=9 is the answer

Add 6 on each side then gives you 2k=18

then 2 divided by 18 is 9

Answer:

that would be 0 lines for symmetry

Answer:

B

Step-by-step explanation:

A parallelogram has no line of symmetry but has rotational symmetry of order 2

Answer:

[tex] - \frac{1}{2} ( - 6x + 8y) \\ = \frac{1}{2} (6x - 8y) \\ = 3x - 4y[/tex]

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:

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:

C) 3/5

Step-by-step explanation:

Have you heard of this way to memorize the trig ratios?

SOH-CAH-TOA  (Say it out loud so you remember it.)

It represents these ratios:

Sine = opposite side / hypotenuse

Cosine = adjacent side / hypotenuse

Tangent = opposite side / adjacent side

In this problem, cos C = adj / hyp = BC / AC = 24 / 40.

That simplifies to 3/5

Answer:

13, 21

Step-by-step explanation:

d = (29 - 5)/3

d = 8

5 + 8 = 13

13 - 8 = 21

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.

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:

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:

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:

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:

2 cm

Step-by-step explanation:

Given that

The length is 13 cm longer than its width

And, the volume of the box is 60cm^3

We need to find out the dimension of the box

Since the box has square ends

So,

the height is equivalent to the width

Let us assume the width be W so the height also be W

Now the length is W + 13

The volume is

W × W × (W + 13) = 60

After solving this W is 2 cm

Answer:

x=48

when 2 line cros

the opposite sides of the angle always have the same value

Answer:

Step-by-step explanation:

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

Answer:

-335

Step-by-step explanation

5x3=15

5x70=350

15-350= -335

since there is no b in your question this is the answer but if there is I  might edit this