Sebastian is going to choose design elements that include color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 14 patterns, 12 fonts, and 9 images for him to choose from. (He will choose only one of each.)
How many different sweatshirt designs are possible?

Answer:

i believe its 5/10 or 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

13). ( x - 2 )( x + 6 ) = 9 × 20

x² + 4x - 12 = 180

x² + 4x - 192 = 0

( x - 12 )( x + 16 ) = 0

[tex]x_{1}[/tex] = - 16

[tex]x_{2}[/tex] = 12

14). ( x + 4 )[( x + 4 ) + 3x ] = 8 × ( 8 + 19 )

( x + 4 )( 4x + 4 ) = 216

4( x + 4 )( x + 1 ) = 216

( x + 4 )( x + 1 ) = 54

x² + 5x + 4 - 54 = 0

x² + 5x - 50 = 0

( x - 5 )( x + 10 ) = 0

[tex]x_{1}[/tex] = - 10

[tex]x_{2}[/tex] = 5

15). x( x + 16 ) = 15²

x² + 16x - 225 = 0

( x - 9 )( x + 25 ) = 0

[tex]x_{1}[/tex] = - 25

[tex]x_{2}[/tex] = 9

16). Now is your turn. You can do it!

The measurements are given in the solution below.

Circle definition states a shape that consists of points, in a two-dimensional plane, equidistant from a given point.

Given that the circles we need to find the given missing values,

Using the properties of the circles,

1) (x-2) (x+6) = 20 × 9

x² + 6x - 2x - 12 = 180

x² + 4x - 192 = 0

x = 12 or x = -16.

2) 8 × (8+19) = x+4 (x+4 + 3x)

216 = x + 4 × (4x + 4)

216 = 4x² + 4x + 16x + 16

4x² + 20x - 200 = 0

x² + 5x - 50 = 0

x = 5 or x = -10

3) 15² = 16x

x = 225/16

x = 14.06
4) (x+7)² = 18 × 14

x² + 49 + 14x = 252

x² + 14x - 203 = 0

x = 8.87

x = -22.87

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There are 11 1/8 picec that equals 1 3/8

Answer:

Step-by-step explanation:

B is the image of D

6 left

2 down

Answer: C (in choices)

B is the image E

6 down

5 left

Answer: D  (in choices)

C is the image of D

1 left

2 down

Answer: F (in choices)

Answer: Below

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Answer:

Step-by-step explanation:

Just mutiply x on both sides which gives you 2x^2 + 12x then you mutiply 2x^2 then subtract that number on both sides and it gives you x = something then you distribute it on 8(something) - 18 you subtract

Answer:

E = 90

Step-by-step explanation:

E represents the maximum value in the data set , that is

E represents the value 90

Answer:

E is 90

Step-by-step explanation:

the end of the box and whisker plot is the last number in chronoligical order. So the one all the way on the right, e is 90

Answer:

5.4 meters per square second

Step-by-step explanation:

If that rover was on the Earth the weight of it would be 620 N (62*10)

In the new planet the gravitational acceleration is not same as the earth it's definitely less than that of the earth

Let's take the gravity constant of the plant as x.

so, 62*x= 334.8 N

x= 334.8/62

x= 5.4

Answer:

14 packages

Step-by-step explanation:

profit = revenue - expenses

we want profit to be 0

0 = revenue - expenses

revenue = 5.60 per package = 5.60 * number of packages

expenses = 56 + 1.60 per package = 56 + 1.6 * number of packages

0 = revenue - expenses

let's say the number of packages = n

0 = 5.6 * n - (56 + 1.6 * n)

= 5.6n - 56 - 1.6n

= -56 + 4n

add 56 to both sides to isolate the variable and its coefficient

56 = 4n

divide both sides by 4 to isolate the variable

n = 14

Answer:

put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).

a. 9 is located to the right of -6

b. use the symbol >

Step-by-step explanation:

|-7| + 3|4|

7 + 12

19

hope it helps...!!!

Answer: Heyaa! ~

Your Answer Is 19, Which is C.

Step-by-step explanation:

Order of operations:

  PEMDAS

Hopefully this helps you! ^

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-7}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{-8}-\underset{x_1}{1}}}\implies \cfrac{-7+1}{-9}\implies \cfrac{-6}{-9}\implies \cfrac{-2}{-3}\implies \cfrac{2}{3}[/tex]

The slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.

Slope tells how vertical a line is. The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.

Its slope would be: [tex]m = \dfrac{y-q}{x-p}[/tex]

Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.

If a line passes through two points, then its slope can be calculated with the following :

 [tex]m = \dfrac{y-q}{x-p}[/tex]

Plugging in our values, we get:

[tex]m = \dfrac{-7 + 1}{-8 - 1}[/tex]

Now, let's simplify our result:

[tex]m = \dfrac{-7 + 1}{-8 - 1}\\\\m = \dfrac{-6}{-9}[/tex]

m = 2/3

Therefore, the slope of the line that passes through the points (1,−1) and (−8,−7) is m = 2/3.

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Answer:

A=61, B=74

Step-by-step explanation:

Because all the angles in a triangle add up to 180:

(2x+4) + (2x-9) + x = 180

If you solve that for x, you will get that x=35. Now you just plug in x to the angles A and B.

Answer:

Part 1

Set B

Part 2

We can use the FOIL method to multiply these expressions:

[tex]\textsf{FOIL}: \quad(a+b)(c+d)=ac+ad+bc+bd[/tex]

However, as all the expression are in the format [tex](a+b)^2[/tex], we can use the shortcut:  [tex](a+b)^2=a^2+2ab+b^2[/tex]

Part 3

Using the shortcut to find the products:

[tex]\begin{aligned}\implies (x+5)(x+5)& =(x+5)^2\\ & =x^2+2(x)(5)+5^2\\ & =x^2+10x+25\end{aligned}[/tex]

[tex]\begin{aligned}\implies (2x+9)(2x+9) & = (2x+9)^2\\ & = (2x)^2+2(2x)(9)+9^2\\ & = 4x^2+36x+81\end{aligned}[/tex]

[tex]\begin{aligned}\implies (x+1)^2 & = x^2+2(x)(1)+1^2\\ & = x^2+2x+1\end{aligned}[/tex]

Part 4

A new example of a multiplication problem based on the structure of Set B is:  [tex](3x+2)(3x+2)[/tex]

[tex]\begin{aligned}\implies (3x+2)(3x+2) & = (3x+2)^2\\ & = (3x)^2+2(3x)(2)+2^2\\ & = 9x^2+12x+4\end{aligned}[/tex]

Part 5

An example of a multiplication problem that would NOT be included in Set B based on its structure is: [tex](x+2)(x-2)[/tex]

We cannot use the derived Set B shortcut (from part 2) to multiply this expression.  Instead, we would have to use a different shortcut of "The Difference of Two Squares" to find the product of this example expression.

Answer: √7 / 2 - 3/2

Step-by-step explanation:

√7-2x+5=8
=>  -2x + √7 = 3
=> x =  √7 / 2 - 3/2

Answer: If this is a 2D box, the length would be 2

Step-by-step explanation:

Answer:

Around 77%

Step-by-step explanation:

10/13 = 0.769

Answer:

11x⁴+12x³-9x²-8x

Step-by-step explanation:

M.a.t.h.w.a.y

Step-by-step explanation:

n + 34 = 34 + n

commutative means you can change the sequence of the parts without changing the overall result.

g × h = h × g

s + 0 = s

b × 1 = b

the identity property points are to show that adding 0 or multiplying by 1 does not change anything.

Answer:

Slope is 1

Step-by-step explanation:

Slope=RISE/RUN

You can see the slope is constant. To clarify we can do an example.

So rise can be 2

And run is also 2

Change in y is equal to change in x

so 2/2=1

Hope it helps

Slope

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

[tex]\sf \tan(A)=\dfrac{60}{45}[/tex]

Therefore:

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

[tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

[tex]\implies\sf \tan(A)=\dfrac{60}{45}[/tex]

[tex]\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)[/tex]

[tex]\implies\sf A=53^{\circ}\:(nearest\:degree)[/tex]

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

Answer:

2 + √3.

Step-by-step explanation:

tan 75 = tan (45 + 30)

           =     (tan 45 + tan 30)  /  (1 - tan 45 tan 30)

           =   ( 1 + 1/√3) / (1 - 1*1/√3)

           =   (1 + √3) / √3  *   √3 / (√3 - 1)

           = √3 + 1/ √3 - 1

  Multiply top and bottom by √3 + 1;

                =  (√3 + 1)(√3 + 1) /  (√3 -  1)(√3 + 1)

                = 3 + 2√3 + 1 / (3 - 1)

                =  (4 + 2√3) / 2

                =  2 + √3.

The probability of landing on the 4 spinners divided into four equal parts will be P=25%

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Here the spinner is divided into four parts of the colours green, red, yellow, and blue.So the number of the sample variable are:-

P(S)=[red,green,yellow,blue]=[4]

The favourable outcome is given as:-

F[s]=[1]

So the probability will be given by:-

P={1}÷{4}=0.25=0.25x 100=25\%

Hence the probability of landing on the 4 spinners divided into four equal parts will be P=25%

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Answer:

x = 6

Step-by-step explanation:

Slope = (y(2) - y(1))/(x(2) - x(1))

(-1 - 1) / (-1 - x)

If the slope is 2/7, it would be (-2/-1-x, where x would have to be 6)

(-2)/(-7) = 2/7, so x = 6

Check:

(-1 - 1) / (-1 - 6)

(-2)/(-7)

2/7 (Correct :))

Hope it helps :D

Step-by-step explanation:

−5x2−5x+30

=5(−x+2)(x+3)

Answer:

5(−x+2)(x+3)

Answer:

Step-by-step explanation:

Remark

No wonder you are posting this. You should never have to rely on a diagram to get an answer, and this diagram is particularly unreliable. What exactly does the peak mean? Does it tell you that the peak is both y and 20 degrees? I'm going to assume so. But it is a very shakey assumption.

Pick a triangle with 2 ys in it. The third angle hits one of the sides of the triangle. Every triangle has 180 degrees. The top angle is 20 degrees and all ys therefor are 20 degrees. So the third angle is y + y + x =180

The 2xs are in a quadrilateral near the top. All quadrilaterals have 360 degrees.  q and one of the angles are vertically opposite. q is then known.

Givens

y = 20

third angle = x

solution

triangles with 2 ys (isosceles)

y + y + x = 180

2y + x = 180

y = 20

2*20 + x = 180

40 + x = 180

x = 140

Quadrillateral

140 + 140 + 20 + vertically opposite q = 360

300 + vertically opposite q = 360

vertically opposite q = 360 - 300

vertically opposite q = 60

Answer

q = 60

Answer:

x=66

Step-by-step explanation:

35-13=22

22*3=66

x=66

Answer:

X=66

Step-by-step explanation:

66 divided by 3 =22

13+22=35

Answer:

C. The sum of 18 and half the product of 9 and 4.

Answer:

Answer:

1.6.36 cm

2

Step-by-step explanation:

Using sine rule to find the length of the BC.