What is 5 7/8 - 1 1/8

Answer:

Step-by-step explanation:

8(1 + 2i) -  (7 - 3i) = 8*1 + 8*2i + 7*(-1) - 3i*(-1)

                          = 8 + 16i -7 + 3i

                          = 8 - 7 + 16i + 3i

                          = 1 + 19i

Daniel forgot to multiply 2i by 8

Answer:

A , He did not apply the distributive property correctly for 8(1 + 2i).

on edge

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The line is parallel to y axis, so the equation is x = 5

Answer:

2370 cm²

Step-by-step explanation:

2(32·15+15·15+15·32) = 2370

Answer:

x = 2

Step-by-step explanation:

The sum of the 3 angles in the triangle = 180°

Sum the 3 angles and equate to 180

6x + 15 + 90 + 63 = 180

6x + 168 = 180 ( subtract 168 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

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There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

Answer:

option D

Step-by-step explanation:

take 39 degree as reference angle

using cos rule

cos 39 = adjacent / hypotenuse

0.77 = x / 7

x = 7*0.77

x = 5.39

x = 5.4

Answer:

D. 5.4

Step-by-step explanation:

Using trigonometric ratio

cos 39 = x/7

cross multiple

x = cos39(7)

x=5.4

The function g(x) = x²/3

Given that graph of the function f(x) = x²,

Since, the graph of f(x) is transformed to form the g(x).

We see that g(x) is passing by (3, 3)

Here, the scale factor is 1/3,

So, we can say that the equation of the function g(x) is g(x) = x²/3

Therefore, the required function is g(x) = x²/3

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Answer:

y = mx + by= mx+ b

Step-by-step explanation:

since we know the two points on the line. we use the two points formed to find its equation. the final equation.the slope intercept form ,y=mx+by = mx+b

Answer:

GL = 38

Step-by-step explanation:

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, that is

GL = 2 LK = 2 × 19 = 38

Answer:

the centroid has special featuresfor this

Step-by-step explanation:

the rate of long must be like this [GL]=2[LK]

we can say that our answer is 38 easily

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

[tex]\frac{1}{2} *6*4[/tex] = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

Answer:

A. x-3

B. x-14

C. x-10

Step-by-step explanation:

Answer: THXS FOR MAKIN THIS SO FRIKIN EASY. I think I may done b or c wrong-

Step-by-step explanation:

a) x - 3

b) x - 14

c) x − 10

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

24x - 18 - 8x - 30 = 96

add or subtract like terms

16x - 48 = 96

shift - 48 to right hand side . when it goes to other side minus changes to plus

16x = 96 + 48

16x = 144

x = 144/16

x = 9

to prove that the value of x satisfy the given equation or not.

to prove that the value of x is 9 substitute 9 inplace of x and if it gives 96 then it satisfy

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

96 = 96

since both sides is equal to 96 it can be concluded that the value of x is 9.

Which value of “x” would satisfy the following equation 24x - 18 - 8x - 30 = 96?

24x - 18 - 8x - 30 = 96

First let's just add/subract the following terms.

16x - 48 = 96

Second.. shift the 48 to the right side. after that change the minus sign into plus sign.

16x = 48 + 96

16x = 44

x = 144/16

x = 9

Explanation:

So we begin to solve it!

24x - 18 - 8x - 30 = 96

24*9 - 18 - 8*9 - 30 = 96

216 - 18 - 72 - 30 = 96

216 - 120 = 96

Since that all both sides are equal to 96 it can be concluded that the value of x is 9.

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Answer:

x=-2;y=-7

Step-by-step explanation:

y=5x+3

y=3x-1

3x-1=5x+3

-2x=4

x=-2 y=5x+3 y=5×(-2)+3 y=-7

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

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

Answer:

3/4 mile

Step-by-step explanation:

[tex]A = l *w\\\frac{1}{2} = \frac{2}{3} * w\\w = \frac{3}{2} * \frac{1}{2}\\w = 3/4 mile[/tex]

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

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Answer:

a. P(x = 5) = 0.24

b. P(x ≥ 6) = 0.43

c. P(x < 4)= 0.14

Step-by-step explanation:

According to the Question,

⇒We use Binomial Probability Formula

[tex]P(X = x ) = \frac{n!}{x!((n-x)! } * p^{x} * (1-p)^{n-x}[/tex]

Where, p=0.52 & n=10

a. The probability that the number of U.S. adults who have very little confidence in newspapers is ​exactly​ five . So, (x=5)

Thus, [tex]P(X = 5 ) = \frac{10!}{5!((10-5)! } * 0.52^{5} * (1-0.52)^{10-5}[/tex]

On Solving Above Equation we get,

P(5)=0.2441 ≈ 0.24

b. The probability that the number of U.S. adults who have very little confidence in newspapers is at least 6 . So, (x≥6)

Then,

P(x≥6) = P(6)+P(7)+P(8)+P(9)+P(10)

P(x≥6) = [tex]\frac{10!}{6!((10-6)! } * 0.52^{6} * (1-0.52)^{10-6}[/tex] + [tex]\frac{10!}{7!((10-7)! } * 0.52^{7} * (1-0.52)^{10-7}[/tex] +[tex]\frac{10!}{8!((10-8)! } * 0.52^{8} * (1-0.52)^{10-8}[/tex] + [tex]\frac{10!}{9!((10-9)! } * 0.52^{9} * (1-0.52)^{10-9}[/tex]+[tex]\frac{10!}{10!((10-10)! } * 0.52^{10} * (1-0.52)^{10-10}[/tex]

On solving above equation we get,

P(x≥6) =  0.4270 ≈ 0.43

c. The probability that the number of U.S. adults who have very little confidence in newspapers is less than 4 . So, (x<4)

Then,

P(x < 4)=P(3) + P(2)+P(1)+P(0)

P(x<4) = [tex]\frac{10!}{3!((10-3)! } * 0.52^{3} * (1-0.52)^{10-3}[/tex] + [tex]\frac{10!}{2!((10-2)! } * 0.52^{2} * (1-0.52)^{10-2}[/tex]+ [tex]\frac{10!}{1!((10-1)! } * 0.52^{1} * (1-0.52)^{10-1}[/tex] + [tex]\frac{10!}{0!((10-0)! } * 0.52^{0} * (1-0.52)^{10-0}[/tex]

On solving we get,

P(x < 4)= 0.1410 ≈ 0.14  

Answer:

k =0.156

Step-by-step explanation:

According to the Question,

We Have To apply Just some Basic Properties of log here.

[tex]log_{3}4 = log_{1/27}k\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1/27 }\\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{log_{}1-log_{27} }\\\\frac{log_{}4 }{log_{}3 } = \frac{log_{}k }{0-3*0.4771} }\\\[/tex]

0.620/0.4771 = ㏒k / -1.4313

㏒k = -1.86

k = anti㏒(-1.86)

k =0.156

The answer is C.

45^-3 can be transferred to the denominator, making the 45 in the denominator have a power to the 6th power.

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

Answer:

I think C is the relation between the variables.