What is the square root of -1

Answer:

The area of one of the bases is 0.96 ft²

The area of each lateral rectangular face is 4.8 ft²

The surface area of the paperweight is 6.72 ft²

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to

SA=2B+LA

where

B is the area of one of the bases

LA is the lateral area of the prism

Find the area of one of the bases B

B=(0.8)(1.2)=0.96 ft²

Find the lateral area LA

The lateral area is the area of each lateral rectangular face

LA=2[(0.8)(1.2)]+2[(1.2)(1.2)]=4.8 ft²

Find the surface area

SA=2(0.96)+4.8=6.72 ft²

Answer: 1.44, 0.96, and then 6.72.

Step-by-step explanation:

the person who answered first is wrong.

Answer:

C. 66

Step-by-step explanation:

32 + x =98

The sum of interior angles of a triangle add up to the exterior opposite angle;

solving for x yields;

x = 98 - 32

x = 66 degrees

Answer:

x = 66°

Step-by-step explanation:

Since DAC is a straight line, the angles must add up to 180° and 98° is given so the missing angles is 180° - 98° = 82°

Angles in a triangle add up 180° and 32° and 82° are given →

x + 32° + 82° = 180°

x + 114° = 180°

x = 66°

Answer:

Option b. y = 0

Step-by-step explanation:

we know that

The slope of the line that coincides with the y-axis is equal to zero (horizontal line) and the equation is equal to

y=0

Answer:

Maggie bought 77 pencil sharpeners

$46.20 divided by .60 = 77

Step-by-step explanation:

46.20÷0.60= 77

Maggie can buy 77 pencil sharpeners is she would like

Please, please, pppllleeeeaassssee

Mark Brainlyest

Answer:

y = 9.75

Step-by-step explanation:

(4y - 3)2 = 72

Opening the brackets;

8y - 6 = 72

8y = 72 + 6 = 78

y = 78 ÷ 8 = 9.75

Answer:

[tex]y = \frac{3+6\sqrt{2}}{4}\text{ and } y = \frac{3-6\sqrt{2}}{4}[/tex]

Step-by-step explanation:

Given quadratic equation,

[tex](4y-3)^2=72[/tex]

[tex]\implies 4y - 3 = \pm \sqrt{72}[/tex]   ( Taking root on both sides )

[tex]4y=3 \pm 6\sqrt{2}[/tex]     ( Additive property of equality ),

[tex]y = \frac{3 \pm 6\sqrt{2}}{4}[/tex]   ( Division property of equality )

[tex]\implies y = \frac{3+6\sqrt{2}}{4}\text{ or }y =\frac{3-6\sqrt{2}}{4}[/tex]

Hence, the solution of the given equation is,

[tex]\implies y = \frac{3+6\sqrt{2}}{4}\text{ and }y =\frac{3-6\sqrt{2}}{4}[/tex]

Final answer:

To combine the expression 4 log x - 6 log (x+2) into a single logarithm, we use the exponentiation and division rules for logarithms to obtain log((x^4)/(x+2)^6).

Explanation:

To write the expression 4 log x - 6 log (x+2) as a single logarithm, we can apply log rules.

The logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number: log(x^n) = n log x.

The logarithm of a product of two numbers is the sum of the logarithms of the two numbers: log xy = log x + log y.

The logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers: log(x/y) = log x - log y.

Using these rules, we can

rewrite the given expression:

4 log x - 6 log (x+2) can be rewritten as log(x^4) - log((x+2)^6), which simplifies to log((x^4)/(x+2)^6) according to the division rule for logarithms.

The expression [tex]4 log x - 6 log (x+2)[/tex] can be simplified as a single logarithm by using the logarithm properties of exponents and division, resulting in [tex]log(x^4 / (x+2)^6).[/tex]

The student is asking to write the expression [tex]4 log x - 6 log (x+2)[/tex] as a single logarithm. To do this, we recall two important properties of logarithms:

Using these properties, we can rewrite the expression:

Therefore, the expression [tex]4 log x - 6 log (x+2)[/tex] written as a single logarithm is[tex]log(x^4 / (x+2)^6).[/tex]

Answer:

The vertical asymptote is [tex]x=3[/tex]

Step-by-step explanation:

we know that

The vertical asymptote is the value of x that makes the denominator equal to zero:

In this problem we have

[tex]f(x)=\frac{6}{x-3}[/tex]

[tex]x-3=0[/tex]

Solve for x:

[tex]x-3+3=0+3[/tex]

[tex]x=3[/tex]

The vertical asymptote is [tex]x=3[/tex]

see the attached figure to better understand the problem

Answer:

the answer is 61units

n=61

Step-by-step explanation:

Answer:

Option C is correct.

Step-by-step explanation:

Andy tested gemstones already = 30

Jacob tested gemstones already = 40

Total gemstones tested by Andy and Jacob already = 30+40 = 70

Andy continue to test gemstones per hour = 30

Jacob continue to test gemstones per hour = 25

Total gemstones tested by Andy and Jacob per hour = 30 +25 = 55

The total number of gemstones tested by Andy and Jacob after x hours will be: 55x

So, the equation will be: f(x) = 55x + 70

After 5 hours i.e. x =5

f(5) = 55(5) + 70

f(5) = 275 + 70

f(5) = 345

Andy and Jacob will have tested 345 gemstones in 5 hours.

So, Option C is correct.

Answer:

a. 2,2,3,3

b. 1.7 2.2 pi= 3.14 3.4= 2,2,3,3

Step-by-step explanation:

Answer:

34.48

Step-by-step explanation:

Use PEMDAS

12.98-(7.6÷19)+22

12.98-0.4+22

12.48+22

34.48

Answer:

34.480000000000000000000000

Step-by-step explanation:

Answer:

Standard Deviation is:  2.09762 or rounded to nearest tenth is 2.1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

half of the miles he drove yesterday is (42/2) and +5 because he said five more than half.

hope this helps and is correct!

Answer:

○ D. (42 ÷ 2) + 5

Step-by-step explanation:

Five more than half tells it all. He 42 miles on Monday, then drove 5 more than half:

(42 ÷ 2) + 5

Half means you either multiply by ½, or divide by 2.

I am joyous to assist you anytime.

Answer:

1. D ∠4 and ∠5

2. C 37°

3. A 50°

Step-by-step explanation:

1. Complementary angles are those that add up to 90°.

From the diagram you can see that angles 4 and 5 together form right angle, so angles 4 and 5 are complementary.

2. Angles 1 and 4 are vertical angles. Vertical angles have the same measure, so

∠4=∠1=37°

3. From 1,

∠4+∠5=90°

From 2

∠1=∠4

Since ∠1=40°, then ∠4=40°

So,

∠5=90°-40°=50°

Answer:

1)163.28 (3.14*52)

2)13ft 6in (163.28/12)

3)129 times

4) 31 times

Step-by-step explanation:

1) multiply 52 times pie(3.14)

2)divide 163.28(your total) by 12

3) 1760 divided by 52

4) 1760 divided by 56.52

this is for the other 2 ones

This ODE is separable:

[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4y}{x^2}\implies\dfrac{\mathrm dy}y=\dfrac4{x^2}\,\mathrm dx[/tex]

Integrating both sides gives

[tex]\ln|y|=-\dfrac4x+C[/tex]

Given the initial condition [tex]y(-4)=1[/tex] we find

[tex]\ln|1|=-\dfrac4{-4}+C\implies C=-1[/tex]

so that the particular solution is

[tex]\ln|y|=-\dfrac4x-1[/tex]

[tex]\implies y=e^{-(1+4/x)})[/tex]

so the answer is D.

Answer:

145

Step-by-step explanation:

The volume of the rectangular prism bin is area of base * height.

Base/top is a square, so area would be 150 * 150 = 22,500

Thus, volume of bin = 22,500 * 210 = 4,725,000

Using volume of sphere formula and given radius of each ball is 16cm, we can say that

Volume of 1 Ball = [tex]\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (16)^3=17,157.28[/tex]

Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be  1.9 * 17,157.28 = 32,598.83

How many of this will fit in the bin, we divide bin volume by this:

Number of Balls = [tex]\frac{4,725,000}{32,598.83}=144.94[/tex]

Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.

Answer:

- i + 4

Step-by-step explanation:

Given a complex number a + bi then the complex conjugate is a - bi

Note the real part remains unchanged while the sign of the imaginary part is negated.

Hence conjugate of i + 4 = - i + 4

Answer:

The area of the kite is 60 square feet

Step-by-step explanation:

The area of a kite is given as half multiplied by the product of the diagonals.

The longer diagonal measures 30 feet.

The shorter diagonal measures 4 feet.

The area of the kite is; [tex]\frac{1}{2}*30*4=60[/tex]

ANSWER

The area of the kite is 60 square feet

EXPLANATION

The area of a kite is half times the product of the diagonals.

The longer diagonal is 10+20=30 feet.

The shorter diagonal is 2+2 =4 feet.

The area of this kite

[tex] = \frac{1}{2} \times 30 \times 4[/tex]

This simplifies to,

[tex] = 60 {ft}^{2} [/tex]

Therefore the area of the kite is 60 square feet

The number √{13} is an irrational number because it cannot be expressed as a ratio of two integers and is not a whole number or integer either.

The number √{13} is not a whole number, an integer, or a rational number because it cannot be expressed as a ratio of two integers. The square root of a positive number that is not a perfect square is always irrational. Therefore, the only correct choice for the type of number that represents √{13} is (Choice D) Irrational.

Answer:

The value of x is 10, and the value of y is 6

Step-by-step explanation:

ABC and GEF are congruent

so

x - 8 = 2

x = 10

x - y = 4

10 - y = 4

y = 10 - 4

y = 6

Answer

x = 10, y = 6

Answer:

x = 10 and y = 6

Step-by-step explanation:

In the given figure ΔABC and ΔGEF are congruent which means all the corresponding sides of the given triangles should be congruent.

So measure of AC = mfg

x - 8 = 2

x = 2 + 8

x = 10

Similarly mBC = mEF

x - y = 4

10 - y = 4

y = 10 - 4 = 6

Therefore, answer are x = 10 and y = 6

Answer is 1)

3V= pi•h•r^2 divide both sides by (pi•h) ; 3V/pi•h = r^2; sqrt (3V/pi•h) =r

Answer:

A. [tex]g(x)=(x-4)^2[/tex]

Step-by-step explanation:

The graph of [tex]f(x)=x^2[/tex] is transformed to obtain the graph of g(x).

We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).

Therefore [tex]g(x)=f(x-4)[/tex].

Hence the equation of g(x) is

[tex]g(x)=(x-4)^2[/tex]

The correct answer is A.

The equation of the graph of g(x) is g(x) = (x - 4)²

From the graph shown, we can see that the f(x) = x² as shown is shifted   4 units to the right to obtain the graph of g(x).

Then, we have that this shift can be achieved by replacing x in the equation of f(x) with x - 4 to represent the horizontal shift.

We have the equation of the graph of g(x), to be;

g(x) = (x - 4)²

This equation represents a horizontal shift of the graph of f(x) by by 4 units to the right, as g(x) remains the same shape f(x) but is  shifted horizontally to the right by 4 units.

Learn about graphs at: https://brainly.com/question/19040584

#SPJ3

Answer:

-100

Step-by-step explanation:

Answer:

-100

Step-by-step explanation:

You need to multiply

-20 x 5= -100

Hope this helped please mark me the brainliest answer? Have a good day :)

Answer: Option A

50 minutes

Step-by-step explanation:

Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

Answer:

The answer would be B. The highest price and the lowest price of the game differ by less than $14. Hope this helps!

B. The highest price and the lowest price of the game differ by less than $14.

Given is that the the price of Song Hero showed greater variability. This means their prices are more varied in range.

If Song Hero was priced between $35 and $49 during the 10-month period, This means the variability of Star chasers is less than [tex]49-35=$14[/tex]

Since, $14 is Song Hero’s range, the range for Star chasers should be less.

Therefore, option B is correct.

Answer:

The function describing the relationship of V and t is V = 3t²

Step-by-step explanation:

* Lets explain the meaning of direct variation

- The direct variation is a mathematical relationship between two

  variables that can be expressed by an equation in which one

  variable is equal to a constant times the other

- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the

 constant of variation

* Now lets solve the problem

# V is varies directly with the square  of t

- Change the statement above to a mathematical relation

∴ V ∝ t²

- Chang the relation to a function by using a constant k

∴ V = kt²

- To find the value of the constant of variation k substitute V and t

 by the given values

∵ t = 6 when V = 108

∵ V = kt²

∴ 108 = k(6)² ⇒ simplify the power 2

∴ 108 = 36k ⇒ divide both sides by 36 to find the value of k

∴ 3 = k

- The value of the constant of variation is 3

∴ The function describing the relationship of V and t is V = 3t²

Answer: $8.2

Step-by-step explanation:

Answer:

8.2 dollars an hour is the answer

Step-by-step explanation:

50.43 divided by 6.15 is 8.2

The maximum happens at x = -b/2a

x = -48/2(-16) = 3/2

Now replace x in the equation and solve for y:

y = 48(3/2) - 16(3/2)^2

y =  -72 - 36

y = 36

The maximum height is 36 feet.

Answer:

1.4 inches

Step-by-step explanation:

The picture is a rectangle 8 cm by 6 cm. The area of a rectangle is length * width. The area of the picture is 8 cm * 6 cm = 48 cm^2

After the mat is applied, the area doubles, so the new area will be 2 * 48 cm^2 = 96 cm^2.

Let the width of the mat be x. The mat has the same width all around the rectangular picture, so it adds x on each side of the length and x on each side of the width.

old length: 8

new length: 2x + 8

old width: 6

new width: 2x + 6

Area of the new rectangle with mat = new length * new width

area = (2x + 8)(2x + 6)

The new area is 96, so that give us an equation.

(2x + 8)(2x + 6) = 96

Use FOIL on the left side:

4x^2 + 12x + 16x + 48 = 96

Combine like terms, and subtract 96 from both sides:

4x^2 + 28x - 48 = 0

Divide both sides by 4:

x^2 + 7x - 12 = 0

To factor the trinomial, we need two numbers that add to 7 and multiply to -12. There are no such numbers, so we need to use the quadratic formula.

x = [-b +/- sqrt(b^2 - 4ac)]/(2a)

x = [-7 +/- sqrt(7^2 - 4(1)(-12)]/[2(1)]

x = [-7 +/- sqrt(49 + 48)]/2

x = [-7 +/- sqrt(97)]/2

x = 1.4 or x = -8.4

Since the mat cannot have a negative width, the negative solution is discarded.

Answer: The width of the mat is 1.4 inches.