If three dice are rolled, what chance is there
of throwing a total of 18?

The simplification of the given expression [tex](4-5i)(2+6i)-(3-2i)[/tex], we get [tex]-30i^2+16i+5[/tex].

Given expression is:

By applying the multiplication, we get

→ [tex](8-10i+24i-30i^2)-(3-2i)[/tex]

By multiplying the (-) sign into the bracket, we get

→ [tex]8-10i+24i-30i^2-3+2i[/tex]

→ [tex]5+16i-30i^2[/tex]

By arranging the terms, we get

→ [tex]-30i^2+16i+5[/tex]

Thus the answer above is right.

Learn more:

https://brainly.com/question/19593573

Answer:

Step-by-step explanation:

A. C. np

Answer:

byebyebyebyebyebbyebyebye

Answer:

The Greates Common Factor (GCF) is:   2 x 5 x 11 = 110

10890:   2  335  111115400:   222  55711 GCF:   2    5  11 

110 is the GCF of 10890 and 15400.

A number or algebraic expression that divides another number or expression evenly i.e., with no remainder.

GCF or Greatest Common factors is the set of numbers is the largest factor that all the numbers share.

Factors of 10890 = 1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,121,165....

Factors of 15400 = 1,2,4,5,7,8,10,11,14,20,22,25,28,35,40,44,50,55,56,70,77,88,100,110,140,154,175....

By observing the factors of both numbers 10890 and 15400.

110 is the greatest common factor of 10890 and 15400.

Therefore 110 is the GCF of 10890 and 15400.

To learn more on Factors click:

https://brainly.com/question/11444998

#SPJ2

Answer: y = -2x + 4

Step-by-step explanation: slope intercept form is "y=mx+b" where m is the slope and b is they y intercept. the y intercept is when x=0 and it's given to us in the question. the y intercept is (0,4). so y=4. we can plug that into the equation to now have y=mx + 4.

now we need to find the slope. we can do this by plugging the two points into the formula [tex]\frac{y2-y1}{x2-x1}[/tex]. so we'd have [tex]\frac{0-4}{2-0}[/tex] to get -4/2 which is -2. -2 is the slope.

so the final answer is y = -2x + 4

Answer:

a) 60°  b) 50°

Step-by-step explanation:

The measurements of a triangles total angles is always equal to 180.

In question a), an Equilateral triangle is shown. Which means all the sides and angles are equal. So you divide 180 by 3, which equals 60.

In question b), an Isoceles triangle is shown. Which means two of the three sides and angles are equal. The other angle is already given: 80.

All you  need to do now is subtract 80 from 180 and divide the diffrence by 2.

So, 180-80=100

     100/2=50

     S=50

     Q=50

I hope this helped! :D

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer:

If you're trying to evaluate 6x + 9 + (-6), then the answer would be ↓

Step-by-step explanation:

6x + 3

Answer: 3/4

Step-by-step explanation:

9/14 divided by 6/7 is 3/4

Find the reciprocal of the divisor

Reciprocal of 6/7: 7/6

Now, multiply it with the dividend

So, 9/14 divided by 6/7 = 9/14 x 7/6

= 9 x 7 = 63

= 14 x 6 = 84

After reducing the fraction, the answer is 3/4

Hope this helps :)

The division of the fraction 6/7 by 9/15 gives the result 4/3.

To simplify the division of 6/7 divided by 9/14, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, the reciprocal of 9/14 is 14/9.

Now, rewrite the division as multiplication:

(6/7) * (14/9)

To multiply fractions, multiply the numerators together and the denominators together:

= (6 * 14) / (7 * 9)

= 84/63

Now, divide the numerator and denominator by their greatest common divisor, which is 21:

= (84/21) / (63/21)

= 4/3

Therefore, 6/7 divided by 9/14 simplifies to 4/3.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Answer:

y=-3x+1

Step-by-step explanation:

1) the slope-interception form is: y=slope*x+intercept;

2) if A(0;1) and B(2;-5) then it is possible to make up the equation of the required line:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}; \ => \ \frac{x}{2}=\frac{y-1}{-6};[/tex]

3) the equation in the item 2 can be written in slope-interception form:

x=(y-1)/(-3); ⇔ y-1= -3x; ⇔ y= -3x+1.

P.S. note, the suggested way of solution is not the shortest one.

Answer:

[tex]y = 2 {(x + 2)}^{2} + 62[/tex]

Step-by-step explanation:

vertex form is

[tex]y = a {(x - h)}^{2} + k \\ where \: (h. \: k) \: is \: the \: vertex[/tex]

our original equation

[tex]2 {x}^{2} + 8x + 70[/tex]

first we will find the x value using the formula

[tex]x = - \frac{b}{2a} \\ - \frac{8}{2(2)} = - \frac{8}{4} = - 2 \\ x = - 2 = h[/tex]

plug the value of x back into the original equation to solve for y

[tex]y = 2 {x}^{2} + 8x + 70 \\ y = 2 ({ - 2}^{2} ) + 8( - 2) + 70 \\ y = 2(4) - 16 + 70 \\ y = 8 - 16 + 70 \\ y = 78 - 16 \\ y = 62 = k[/tex]

substitute this back into our vertex form and not forgetting the coefficient a = 2

[tex]y = 2 {(x - ( -2))}^{2} + 62 \\ y = 2 {(x + 2)}^{2} + 62[/tex]

Answer:

Part A. the answer is 90

Part B. the answer is 145

Hope this helps :P

Step-by-step explanation:

Answer:

54, 78, 70, 47, 80, 81,

Step-by-step explanation:

It is B.

the question is so tough

Answer:

0.0243902439

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

f(x) just means y

find the spot on the line that hits y at 7.

then look directly down to the x line to see that the intersection is (5,7)

Answer:

where is the figure?? thanks

Answer:

{0.5(7+15),0.5(-3-8)}

Step-by-step explanation:

(0.5(sum of x values),0.5(sum of y values))

Answer:

21.5518292683

Step-by-step explanation:

7069 / 328 = 21.5518292683

Answer:

true

Step-by-step explanation:

figure B is figure A but 3 times the size.

Answer:

R=1

Step-by-step explanation:

5

−

8

+

8

=

9

−

1

2

+

8

ask you teacher how to solve linear equation he or she could help with that

Answer:

Liz should shop at the store with the item with a reasoning price in other words the one that costs less.

Step-by-step explanation:

You didn't give the stores prices but that would be what I would think.

Answer:

16. C

17. B

Step-by-step explanation:

All you have to do is plug in the numbers into the pythagorean theorem. The Pythagorean Theorem is: [tex]a^2+b^2=c^2[/tex] Now I encourage you to try these problems out for yourself and see why they're correct. Doing these will help you solve other propblems like this. Remember the hypotenuse is alays the longest side. ;)

Answer: 57/40 or 1 17/40

Step-by-step explanation: 2 1/2 - 3/8 = 17/8 or 2 1/8        

17/8 or 2 1/8 - 7/10 = 57/40 or 1 17/40

Answer:

c and d

Step-by-step explanation:

like saying you lost half but gained 3 quarters. you end up have 1/4 or 1 quarter left

make the mixed number an improper fraction

9/4*9/5 = 81/20

20 goes into 81, 4 times evenly with 1 left over

4 1/20

Answer:

[tex]f( - 1) = - 2[/tex]

Step-by-step explanation:

[tex]f(x) = - {x}^{2} + x \\ f( - 1) = - {( - 1)}^{2} + ( - 1) \\ = - (1) + ( - 1) \\ = - 1 - 1 \\ f( - 1)= - 2[/tex]

I hope I helped you^_^

Answer:

(2,-1)

Step-by-step explanation:

If you start at (2,-1) and go 3 units right, you land at (5,-1). Then, when you go up 4 units you land at (5,3)

From an absolute value inequality, we have that:

[tex]|f(x)| \leq a[/tex]

Which has solution:

[tex]-a \leq f(x) \leq a[/tex]

In this problem:

[tex]|D - 6.5| \leq 0.04[/tex]

Applying the solution:

[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]

[tex]-0.04 \leq D - 6.5[/tex]

[tex]D - 6.5 \geq -0.04[/tex]

[tex]D \geq 6.46[/tex]

[tex]\leq D - 6.5 \leq 0.04[/tex]

[tex]D \leq 6.54[/tex]

A similar problem is given at https://brainly.com/question/24835634

Answer:

648

Step-by-step explanation:

02 =29283 \y8283 862bh7363 sin tag 2836