Approximate √10 to the nearest whole number

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]

[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

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Answer:

0.01

Is what you get when converting 1/100 into a decimal.

Answer:

3 is 1/5 so 3*5 is how many kids are on the ride.

3 * 5 = 15. There are 15 kids on the ride, but the question's answer would just be 3*5.

Answer:

im having the same problem

Step-by-step explanation:

search it up on google maybe

sorry im trying my best

Answer: 44.5

Step-by-step explanation:

The object's temperature post 4 minutes in respect to degrees Fahrenheit would be:

- [tex]44.5[/tex]°C

Given that,

Function [tex]f(t)=Ce(-kt)+33[/tex]

where,

t = time in terms of minutes

C = constant

k = constant

The temperature of the object [tex]= 75[/tex]°

where, [tex]t = 0[/tex]

Using the function,

∵ [tex]f (0) = 75[/tex]

[tex]Ce^{(0)}[/tex] [tex]+ 33 = 75[/tex]

This will lead to

[tex]C = 42[/tex]               (∵ C being constant)

Temperature post 2 minutes = [tex]55[/tex]°

or

[tex]55 =[/tex] [tex]42e^{(-2k)} + 33[/tex]                (k being [tex]0.3233[/tex])

Thus,

Temperature after 4 minutes would be:

[tex]f(4) = 42e^{(-1.29325)} + 33[/tex]

[tex]= 44.5[/tex]°

Thus, [tex]44.5[/tex]°C is the correct answer.

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Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer: .375

Step-by-step explanation:

Instead of doing 8/3 it would be 3/8 since there are 8 cars being put inside of 3 feet. Therefore, 3/8= .375

Answer:

c

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

43+35= 78 and 180-78=102, so both angles at E are 102, and then you add 18 to get 120 and 180-120= 60.

Answer:

1. [tex]y = 3x[/tex]

2. [tex]y = -\frac{2}{3}x + 1[/tex]

3. [tex]y = -\frac{2}{3}x - 4[/tex]

4. [tex]y = 4[/tex]

5. [tex]y = x + 5[/tex]

6. [tex]y= \frac{5}{2}x[/tex]

7. [tex]y = -7x -16[/tex]

8. [tex]y = x + 4[/tex]

Step-by-step explanation:

The steps to solving these questions involve

1. Calculate slope using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

2. Calculate the line equation using point slope formula: [tex]y - y_1 = m(x - x_1)[/tex]

We'll apply the steps above in solving 1 through 8

Solving (1):

When x = 0; y = 0

When x = 1; y = 3

i.e.

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (1,3)[/tex]

Calculate slope:

[tex]m=\frac{3 - 0}{1 - 0}[/tex]

[tex]m=\frac{3 }{1 }[/tex]

[tex]m = 3[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,0)[/tex] and [tex]m = 3[/tex]

[tex]y - 0 = 3(x - 0)[/tex]

[tex]y = 3x[/tex]

Solving (2):

When x = 0; y = 1

When x = 3; y = -1

i.e.

[tex](x_1,y_1) = (0,1)[/tex]

[tex](x_2,y_2) = (3,-1)[/tex]

Calculate slope:

[tex]m=\frac{-1 - 1}{3 - 0}[/tex]

[tex]m= -\frac{2}{3}[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,1)[/tex] and [tex]m= -\frac{2}{3}[/tex]

[tex]y - 1 = -\frac{2}{3}(x - 0)[/tex]

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

[tex]y - 1 = -\frac{2}{3}x[/tex]

[tex]y = -\frac{2}{3}x + 1[/tex]

Solving (3):

When x = 0; y = -4

When x = -3; y = -2

i.e.

[tex](x_1,y_1) = (0,-4)[/tex]

[tex](x_2,y_2) = (-3,-2)[/tex]

Calculate slope:

[tex]m=\frac{-2 - (-4)}{-3 - 0}[/tex]

[tex]m=\frac{-2 +4}{-3 - 0}[/tex]

[tex]m=\frac{2}{-3}[/tex]

[tex]m=-\frac{2}{3}[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,-4)[/tex] and [tex]m= -\frac{2}{3}[/tex]

[tex]y - (-4) = -\frac{2}{3}(x - 0)[/tex]

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

[tex]y +4 = -\frac{2}{3}x[/tex]

[tex]y = -\frac{2}{3}x - 4[/tex]

Solving (4):

When x = 0; y = 4

When x = 4; y = 4

i.e.

[tex](x_1,y_1) = (0,4)[/tex]

[tex](x_2,y_2) = (4,4)[/tex]

Calculate slope:

[tex]m=\frac{4 - 4}{4 - 0}[/tex]

[tex]m=\frac{0}{4}[/tex]

[tex]m = 0[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,4)[/tex] and [tex]m = 0[/tex]

[tex]y - 4 = 0(x - 0)[/tex]

[tex]y - 4 = 0[/tex]

[tex]y = 4[/tex]

Solving (5):

When x = -4; y = 1

When x = -1; y = 4

i.e.

[tex](x_1,y_1) = (-4,1)[/tex]

[tex](x_2,y_2) = (-1,4)[/tex]

Calculate slope:

[tex]m=\frac{4 - 1}{-1 - (-4)}[/tex]

[tex]m=\frac{4 - 1}{-1 +4)}[/tex]

[tex]m=\frac{3}{3)}[/tex]

[tex]m = 1[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (-4,1)[/tex] and [tex]m = 1[/tex]

[tex]y - 1 = 1(x - (-4))[/tex]

[tex]y - 1 = 1(x +4)[/tex]

[tex]y - 1 = x +4[/tex]

[tex]y = x +4 + 1[/tex]

[tex]y = x + 5[/tex]

Solving (6):

When x = 0; y = 0

When x = 2; y = 5

i.e.

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (2,5)[/tex]

Calculate slope:

[tex]m=\frac{5 - 0}{2 - 0}[/tex]

[tex]m=\frac{5 }{2 }[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (0,0)[/tex] and [tex]m=\frac{5 }{2 }[/tex]

[tex]y - 0 = \frac{5}{2}(x - 0)[/tex]

[tex]y - 0 = \frac{5}{2}(x)[/tex]

[tex]y= \frac{5}{2}x[/tex]

Solving (7):

When x = -2; y = -2

When x = 2; y = 5

i.e.

[tex](x_1,y_1) = (-2,-2)[/tex]

[tex](x_2,y_2) = (-3,-5)[/tex]

Calculate slope:

[tex]m=\frac{5 - (-2)}{-3 - (-2)}[/tex]

[tex]m=\frac{5 +2}{-3 +2}[/tex]

[tex]m=\frac{7}{-1}[/tex]

[tex]m =-7[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (-2,-2)[/tex] and [tex]m =-7[/tex]

[tex]y - (-2) = -7(x - (-2))[/tex]

[tex]y +2 = -7(x +2)[/tex]

[tex]y +2 = -7x -14[/tex]

[tex]y = -7x -14 - 2[/tex]

[tex]y = -7x -16[/tex]

Solving (8):

When x = -3; y = 1

When x = 0; y = 4

i.e.

[tex](x_1,y_1) = (-3,1)[/tex]

[tex](x_2,y_2) = (0,4)[/tex]

Calculate slope:

[tex]m = \frac{4 - 1}{0 - (-3)}[/tex]

[tex]m = \frac{4 - 1}{0 +3}[/tex]

[tex]m = \frac{3}{3}[/tex]

[tex]m = 1[/tex]

Next, we calculate the equation

[tex]y - y_1 = m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (-3,1)[/tex] and [tex]m = 1[/tex]

[tex]y - 1 = 1(x - (-3))[/tex]

[tex]y - 1 = 1(x +3)[/tex]

[tex]y - 1 = x +3[/tex]

[tex]y = x + 3 + 1[/tex]

[tex]y = x + 4[/tex]

Answer:

75

Step-by-step explanation:

120 ÷ 1.6 = 75 since 1.6 kilometer per hour is 1 mile, the car travels 75 miles per hours

Answer:

The car travels 75 miles per hour

Step-by-step explanation:

Units of Length

The most common units of distance are millimeters, centimeters, meters, miles, and kilometers.

The equivalence from miles to kilometers is:

1 mile = 1.6 Kilometers

If we wanted to convert a given distance from kilometers to miles, we'd need to divide by 1.6,  that is:

d(miles) = d(km)/1.6

The above equation can be used to find the number of miles given the number of kilometers.

If a car travels at 120 kilometers per hour, then in one hour it travels

d(km)=120

Thus, the distance in miles is:

d(miles) = 120/1.6 = 75

The car travels 75 miles per hour

Answer:

f?dd,dyuduxccucucucucucuccc

Answer:

13.29 inch

Step-by-step explanation:

Given:

Square game board.

Area of square game board = 175 sq inch

To find:

The side length of the square board game.

Solution:

First of all, we need to know the formula for area of a square.

Let us have a look at the formula for area of a square.

[tex]Area = Side\times Side[/tex]

OR

[tex]Area = Side^2[/tex]

Putting value of area = 175 sq in and let us find the value of Side.

[tex]175=Side^2\\\Rightarrow Side = \sqrt{175}\\\Rightarrow Side \approx \bold{13.29\ inch}[/tex]

Therefore, the answer is:

The appropriate side length of the square game board = 13.29 inch

Answer:

A

Step-by-step explanation:

It cannot be B or C because you have to do the whole thing to the power of 8 not just one of them.

It cannot be D because the question means (5/9) x (5/9) etc 8 times not 8 x (5/9)

so it must be A

Answer:

14.87

Step-by-step explanation:

because you multiply the pounds times how much money per pound to get 5.13 then you subtract that to get 14.87

hope it helps

Answer:

D

Step-by-step explanation:

-(-9) is a double negative, meaning when simplified it is -5+9, which is 4, and D had the same answer. A comes out to 0, B is just No, C is 6, and D is 4

Answer:

The answer is 1/3x-1

Step-by-step explanation:

Let's simplify step-by-step.

5/6x−7−(1/2x−6)

Distribute the Negative Sign:

=5/6x−7+−1(1/2x−6)

=5/6x+−7+−1(1/2x)+(−1)(−6)

=5/6x+−7+−1/2x+6

Combine Like Terms:

=5/6x+−7+−1/2x+6

=(5/6x+−1/2x)+(−7+6)

=1/3x+−1

Answer:

=1/3x−1

Answer: 11.52

Step-by-step explanation: Simplify the expression

Answer:

11.52

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

[tex]\displaystyle log_\frac{1}{2}(64)=-6[/tex]

Step-by-step explanation:

Properties of Logarithms

We'll recall below the basic properties of logarithms:

[tex]log_b(1) = 0[/tex]

Logarithm of the base:

[tex]log_b(b) = 1[/tex]

Product rule:

[tex]log_b(xy) = log_b(x) + log_b(y)[/tex]

Division rule:

[tex]\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)[/tex]

Power rule:

[tex]log_b(x^n) = n\cdot log_b(x)[/tex]

Change of base:

[tex]\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}[/tex]

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

[tex]\displaystyle log_\frac{1}{2}(64)[/tex]

Factoring [tex]64=2^6[/tex].

[tex]\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)[/tex]

Applying the power rule:

[tex]\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)[/tex]

Since

[tex]\displaystyle 2=(1/2)^{-1}[/tex]

[tex]\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})[/tex]

Applying the power rule:

[tex]\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})[/tex]

Applying the logarithm of the base:

[tex]\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}[/tex]

tan(x) = cot(x)

tan(x) = 1 / tan(x)

tan²(x) = 1

tan²(x) - 1 = 0

(tan(x) - 1) (tan(x) + 1) = 0

tan(x) - 1 = 0   or   tan(x) + 1 = 0

tan(x) = 1   or   tan(x) = -1

x = π/4 + nπ   or   x = -π/4 + nπ

where in both cases, n is any integer.

In the interval 0 < x < π, we get solutions:

• x = π/4 from the first family (when n = 0)

• x = 3π/4 from the second family (when n = 1)

So the equation has solutions x = π/4 or x = 3π/4.

Answer:

It is a parallelogram because it has either two or more sets of parallel lines

Answer:

Im sorry i do not seem to be able to see the image

Step-by-step explanation:

L

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Answer:

The parallel line should be y = 2x + 7

The equation of the line that passes through the point (8,-1) and is parallel to the line y = 2x – 4 is; y = 2x + 7

An equation is an expression that shows the relationship between two or more numbers and variables.

Given If the line is parallel to the line resembling the equation y = 2x - 4, it would mean that the line would have a similar slope,

m= 2

We know that Point-Slope Form:

y - y₁ = m(x - x₁)  

Point  (-2,3)

Then Slope m = 2

Now Write the equation as;

y - 3 = 2(x + 2)

This means the final equation is;

y = 2x + 7

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Answer:

52%

Step-by-step explanation:

52 out of 100 grids are shaded ⇔ 52%

Answer:

h=20w

Step-by-step explanation:

1 week =20

2 weeks  =40

3 weeks = 60

20 ×2 =40

20×2=40

20×3=60

Answer:

p  = 32

Step-by-step explanation:

Given expression:

             p  = [tex]\frac{8}{v}[/tex]  

Since v = [tex]\frac{1}{4}[/tex]  

Now insert the parameters and solve;

    p  = [tex]\frac{8}{\frac{1}{4} }[/tex]  

    p = 8  ÷  [tex]\frac{1}{4}[/tex]  

     p  = 8 x 4

    p  = 32