Express the radical using the imaginary unit i

Answer:

h(4)= -2

Step-by-step explanation:

plug in 4 into the x:

h(4)=-4+2=-2

Is this the full question?

Answer:

f = -3/4

Step-by-step explanation:

13f + 6 -f = -3

Combine like terms

12f +6 = -3

Subtract 6 from each side

12f+6-6 = -3-6

12f = -9

Divide each side by 12

12f/12 = -9/12

f = -3/4

Answer:

f= -3/4 or -0.75

Step-by-step explanation:

We are given the equation:

13f + 6 -f = -3

First, let's combine like terms. Subtract f from 13f.

(13f-f) + 6 = -3

12f + 6= -3

We want to find f. Therefore, we must isolate the variable on one side of the equation.

6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

12f + 6 -6 = -3-6

12f= -3-6

12f= -9

f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.

12f/12= -9/12

f= -9/12

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

f = (-9/3) / (12/3)

f= -3/4

f=-0.75

The solution to the equation is f= -3/4 or -0.75

Answer:

6/100

Step-by-step explanation:

Since x% means x/100, that means 6% = 6/100.

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Answer:

-12

Step-by-step explanation:

2x+29+8=×+25

Solve for x

Answer:

180° = x + (2x -15)

180°=3x-15

3x = 195

x =65°

x + y = 180°

65+ y= 180°

y = 115°

Answer:

x = 65, y = 115

Step-by-step explanation:

x and 2x - 15 are adjacent angles and supplementary, thus

2x - 15 + x = 180

3x - 15 = 180 ( add 15 to both sides )

3x = 195 ( divide both sides by 3 )

x = 65

y and 2x - 15 are congruent ( alternate angles ), thus

y = 2x - 15 = 2(65) - 15 = 130 - 15 = 115

Answer:

B

Step-by-step explanation:

The range of a data set is the y-coordinates of the ordered pairs.

So, we have the ordered pairs:

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

So, the range will be (the bolded numbers):

{(-2,1), (0,0), (3,-1), (-1,7), (5,7)}

Thus, our answer is:

{-1, 0, 1, 7}

Note that the range should be in ascending order.

Also note that even though 7 appears twice, 7 is 7, so we only put one 7.

The answer is B.

Answer:

$519.79

Step-by-step explanation:

The formula is:

[tex]PV = P (\frac{1 - ( 1 + r ) ^{-n}}{r})[/tex]

[tex](100+x)\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }(1+\frac{0.04}{4})^{40}[/tex]  [tex]+100\frac{(1+\frac{0.04}{4})^{40}-1 }{\frac{0.04}{4} }=50000[/tex]

[tex](100+x)(\frac{(1+0.01)^{40} -1}{0.01}) (1+0.01)^{40}[/tex] [tex]+(100)(\frac{(1+0.01)^{40} -1}{0.01} )=50000[/tex]

(100+x) [(1.488864 - 1) / 0.01] (1.488864) + (100) [(1.488864 - 1) / 0.01] = 50000

(100+x) [(0.488864 / 0.01)] (1.488864) + (100) (0.488864 / 0.01) = 50000

(100+x) (48.8864) (1.488864) + (100) (48.8864) = 50000

(100+x) (48.886373) (1.488864) + 4888.64 = 50000

(100+x) (72.785161) + 4888.64 = 50000

7278.5161 + 72.785161 x + 4888.64 = 50000

12167.1561  + 72.785161 x  = 50000

72.785161 x  = 50000 - 12167.1561  

72.785161 x  = 37832.8439

x = 37832.8439 / 72.785161

x = 519.787871

x = $519.79

Answer:

(-x/5) - 1

Step-by-step explanation:

Step 1: Translate word into math

one less = - 1

quotient of a number and -5 = x/-5

Step 2: Combine

(x/-5) - 1

Step 3: Simplify

(-x/5) - 1

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Is that the question?

Answer:

101 up on the left

100 up on right

6 across the bottom

Step-by-step explanation:

their is always six along the bottom

up on the right is whateve number the figure is it increase one everytime

101 up on the left because figure one stats with 2 and from their one is added

The solution is

a) The figure will have 100 rows of 6 tiles and 1 row having 1 tile

b) The number of tiles in figure 100 will be 601 tiles

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the figure 100 be represented as = a₁₀₀

Let the number of tiles in the first figure be a₁

The value of a₁ = 7 tiles

Let the number of tiles in the second figure be a₂

The value of a₂ = 13 tiles

So , the common difference of the arithmetic sequence is d

d = second term - first term

d = 13 - 7

d = 6

Now , the value of figure a₁₀₀ is calculated by the formula

Tn = a + (n - 1) d

Substituting the values in the equation , we get

a₁₀₀ = 7 + ( 100 - 1 ) 6

a₁₀₀ = 7 + ( 99 x 6 )

a₁₀₀ = 7 + 594

The value of a₁₀₀ = 601

Therefore , the figure will have 100 rows of 6 tiles and 1 row having 1 tile

And , the total number of tiles in the figure is 601 tiles

Hence , The figure will have 100 rows of 6 tiles and 1 row having 1 tile and

the number of tiles in figure 100 will be 601 tiles

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

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Answer:

MP =  Rs. 1500

SP =  Rs. 1230

Step-by-step explanation:

Let the Cost Price (CP) be x

Then Market Price (MP):

Discounted Selling Price (SP):

Since the difference between CP and SP is Rs.20:

Then:

and

Answer:

I think if you take the x out it would be equivalent

Step-by-step explanation:

3•3•3

Answer:

The amount by which the sugar canister is smaller than the flour canister is 136 in³

Step-by-step explanation:

The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches

(5 and 1/2 = (5 1/2))

(3 and 1/2 = (3 1/2))

The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches

The volume of the rectangular prism = Length × Width × Height

∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³

The volume of the sugar canister = (3 1/2) × 3 × 8= 84 in.³

The difference in volume between the flour canister and the sugar canister is given as follows;

220 in.³ - 84 in.³ = 136 in.³

The amount by which the sugar canister is smaller than the flour canister = 136 in.³.

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

a.    [tex]T = 17s[/tex]

b.    [tex]D = 72cm[/tex]

Step-by-step explanation:

Given

Direct Variation

[tex]Distance(D)\ \alpha\ Time (T)[/tex]

D = 264 cm when T = 11 s

Calculating (a)

First, the constant of variation (k) as to be calculated;

Since, there exist a direct proportion; then,

[tex]D\ \alpha\ T[/tex]

[tex]D = kT[/tex]

Make k the subject of formula

[tex]k = \frac{D}{T}[/tex]

D = 264 cm when T = 11 s; So

[tex]k = \frac{264}{11}[/tex]

[tex]k = 24[/tex]

So: Solving for (a)

[tex]D = 408[/tex]

Substitute 408 for D and 24 for k in [tex]D = kT[/tex]

[tex]408 = 24 * T[/tex]

Divide both sides by 24

[tex]\frac{408}{24} = T[/tex]

[tex]T = \frac{408}{24}[/tex]

[tex]T = 17s[/tex]

Hence, time to move a distance of 408cm is 17s

Calculating (b)

[tex]T = 3[/tex]

Substitute 3 for T and 24 for k in [tex]D = kT[/tex]

[tex]D = 24 * 3[/tex]

[tex]D = 72cm[/tex]

Hence, distance covered in 3 seconds is 72cm

Answer:

x=4

y=-2

z=1

Step-by-step explanation:

x+y+z=3

-x+3y+2z=-8

x=4z

so

4z+y+z=3,

y+5z=3

y=3-5z

-4z+3y+2z=-8

3y-2z=-8

3(3-5z)-2z=-8

9-15z-2z=-8

-17z=-8-9

-17z=-17

z=1

x=4z=4×1=4

y=3-5z=3-5×1=3-5=-2

Answer:

Solutions:

[tex]x=-7[/tex]

[tex]x=4[/tex]

Step-by-step explanation:

[tex](x-2)(x + 5) = 18[/tex]

Expanding the factored form:

[tex]x^2+5x-2x-10=18[/tex]

[tex]x^2+3x-28=0[/tex]

Factoring the second-degree polynomial:

[tex](x+7)(x-4)=0[/tex]

This is true for

[tex]x=-7 \text{ or } x=4[/tex]

Answer:

B

Step-by-step explanation:

Answer:

c mark me as brainliest

Step-by-step explanation:

Answer:

_____________________________________

The annual interest rate, sometimes called the standard annual interest rate or base rate, is the percentage value you usually see first when comparing financial products. It's the basic interest that you'll pay on your loan or earn on your savings account without taking compounding or fees into consideration.

_____________________________________

Answer:

Step-by-step explanation:

[tex]Distance_1 = 43.2km\\Litres\:of petrol_1 = 2.4 \:litres\\Distance_2 = ?\\Litres_2 = 1 litre\\\\Use\: Proportion ;\\\\43.2 \:km = 2.4\:litres\\x \:km \:\:\:\:= 1 \:;litres\\\\Cross\:multiply\\\\2.4 \times x= 43.2 \times 1\\2.4x = 43.2\\\\Divide \:both\:sides\:of\:the\:equation\:by\:2.4\\\frac{2.4x}{2.4} = \frac{43.2}{2.4} \\\\x = 18 \: km[/tex]

When you're solving an equation, there are three possibilities.  Two of which are chosen if your statement is true or not.

If you're able to get x alone, there is one solution.  However, If all of the variables are eliminated and you're left with a false statement, that will be no solution. Example: 1=5? False.

If all of the variables are eliminated and you're left with a true statement, that solution is all real numbers. Example: 5=5? True.

Answer:

2/5 is already a fraction.... it's an improper fraction.

Answer:

10.336.

Step-by-step explanation:

There are 12 inches in 1 foot so 51.68 ft/hr

= 51.68 * 12 in/hr.

Now there are 60 minutes in an hour so the speed in inches/minute

= 51.68 * 12 / 60

= 10.336.

Answer:

1. quarant 2

2. quadrant 1

3. quadrant 2

4. quadrant 4

5. quadrant 4

6. quadrant 2

7.quadrant 2

8. quadrant 3

Step-by-step explanation:

Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

Answer:

33.2

Step-by-step explanation:

Multiply 332 by 0.1

or 332/10=33.2

Answer:

no

Step-by-step explanation:

the sum of interior angles of a triangle should be 180

so the three possible angles would be 90 degree 60 degree and 30 degree

Answer:

[tex]\huge\boxed{\sf NO.}[/tex]

Step-by-step explanation:

The interior angles of a triangle must be adding to 180 degrees for it to "be" a triangle.

Let's check if 90°,60° and 60° are adding to 180°.

=> 90+60+60

=> 210°  > 180°

Since they are not adding to 180°, a triangle with the given angles cannot be formed.

Answer:

13 minutes

Step-by-step explanation:

Person 1: 1 min

Person 2: 2 min

Person 3: 7 min

Person 4: 10 min

Person 1, 3, and 4 cross first, which will take 10 minutes.

Then, Person 1 comes back, taking 1 minute.

Person 1 and Person 2 cross the river, taking 2 minutes.

10 + 1 + 2 = 13 minutes.

Answer:

|x - 2| = 8

Step-by-step explanation:

The midpoint between -6 and 10 is;

(-6 + 10)/2 = 4/2 = 2

This means that the distance between 2 and either -6 or 10 will be 8.

Now, the absolute value equation will have to say that the distance between x and 2 is 8.

Thus, plugging those numbers into the pattern of |x - m| = b. Where m is the midpoint and b is the distance from midpoint to either values of x.

This gives us the absolute value equation:

|x - 2| = 8