Solve The equation 1/4t-6=-4
t=

Answer:

7.85 inches

Step-by-step explanation:

It mentions distance around the edge of the clock, which is basically another term used for arc length.

Arc Length Formula :

Arc Length = 2πr × θ/360°

Values given :

Radius (r) = 5 inches

Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°

Solving :

Arc Length = 2 x 3.14 x 5 x 90/360

Arc Length = 15.7 x 0.5

Arc Length = 7.85 inches

[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]

The rule used is

[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Subtract the exponents when dividing exponentials like this of the same base.

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =36 \end{cases}\implies s=\cfrac{(36)\pi (2)}{180}\implies s=\cfrac{2\pi }{5}\implies s\approx 1.26~in[/tex]

Answer:

11,880.

Step-by-step explanation:

This is given by the number of permutations of 4 from 12

= 12P4

= 12!/(12-4)!

= 12!/8!

=  (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)

= 12^11*10*9

= 11,880.

Answer:

  (d)  $36.69

Step-by-step explanation:

The total cost of the order is the sum of the costs of the items and the tax on that subtotal.

__

The price after tax can be found using the multiplier (1 +tax rate) applied to the subtotal.

  total cost = ($14.65 +8.49 +10.99)×(1 +0.075) = $34.13×1.075

  total cost = $36.69

Answer: $36.69

Step-by-step explanation: K12 Test 8.02 Grade 7 Semester B Test - Part 1

The systems of the equations for the word problem can be expressed as:

The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.

From the given information, we are to determine two quantities

i.e.

So, 100% and 20% of saline solution produce 160 millimeters.

x + y = 160

Also, the combination of 100% and 20% of saline solution give an average of 25%.

The average now = sum of numbers/ the total numbers

25% = sum of numbers/160

sum of numbers = 25% (160)

Therefore, we can equate it to the mixture carried out by the nurse.

i.e.

25% (160) = 100%(x) + 20%(y)

100x + 20y = 4000

Therefore, the systems of the equations are:

x + y = 500              --- (1)

100x + 20y = 4000  --- (2)

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Answer:

Area = 213.52 sq.ft

Step-by-step explanation:

[tex]A_{s} =\pi (18)^{2} -\pi (16)^{2} =324\pi -256\pi =68\pi[/tex]

[tex]\pi =3.14[/tex]

[tex]A_{s} =68(3.14)=213.52sq.ft[/tex]

Hope this helps

Answer:

  113.04 ft²

Step-by-step explanation:

The area of the ring can be found by multiplying its center-line length by its width.

__

The diameter of the circle that is the center-line of the ring is ...

  16 ft + 2 ft = 18 ft . . . . center-line diameter

The length of the center-line is then ...

  C = πd

  C = 3.14(18 ft) = 56.52 ft

And the area of the ring is ...

  A = LW = (56.52 ft)(2 ft) = 113.04 ft²

The shaded area is 113.04 square feet.

Answer:

all of those answers are rational numbers

Step-by-step explanation:

If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

You work for a cereal company that is looking to design some new boxes for their cereal.

The cereal is sold in the size of 512 cubic units.

You will be designing three rectangular prisms with unique dimensions.

The possible dimension of the rectangular prism will be

Volume = 512

Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Then we have

{(4, 8, 16), (2, 8, 32), (2, 4, 64)}

Then the surface area will be

If the dimension is (4, 8, 16). Then the surface area will be

Surface area = 2(4x8 + 8x16 + 16x4)

Surface area = 448 square units

If the dimension is (2, 8, 32). Then the surface area will be

Surface area = 2(2x8 + 8x32 + 32x2)

Surface area = 672 square units

If the dimension is (2, 4, 64). Then the surface area will be

Surface area = 2(2x4 + 4x64 + 64x2)

Surface area = 784 square units

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Answer:

The correct equation is D

Answer:

50° and 40°

Step-by-step explanation:

complementary angles sum to 90°

80% = [tex]\frac{80}{100}[/tex] = 0.8

let the 2 angles be x and 0.8x , then

x + 0.8x = 90

1.8x = 90 ( divide both sides by 1.8 )

x = 50

0.8x = 0.8 × 50 = 40

the 2 angles are 50° and 40°

Answer:

Types of Equations and Examples

Types of Equations and Examples

There are various types of equations, such as,

Linear equation

Equation with  one variable

Equation with two variables

Equation with three variables

Polynomial equation

Monomial Equations

Binomial Equation

Trinomial Equation

Quadratic equation

Trigonometric equation

Radical equation

Exponential equation

Rational equation

types of equations

types of equations

1. Linear Equation:

A linear equation is an algebraic equation. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line.

General form of the linear equation with two variables is given below:-

y = mx + c, m ≠ 0.

Equation with one Variable: An equation who have only one variable, e.g.

12x – 10 = 0

Step-by-step explanation:

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.

Answer:

9

Step-by-step explanation:

she have 24kg she gave 15kg so answer is 9

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.

well, the markup or the bumped up amount is 3560 - 2450 = 1110.

if we take 2450 to be the 100%, what is 1110 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2450 & 100\\ 1110& x \end{array} \implies \cfrac{2450}{1110}~~=~~\cfrac{100}{x}\implies \cfrac{245}{111}~~=~~\cfrac{100}{x} \\\\\\ 245x=11100\implies x=\cfrac{11100}{245}\implies x\approx 45.3[/tex]

Answer:

720

Step-by-step explanation:

A polygon with 6 angles is called a hexagon

To find the sum of interior angles, we use the following formula:

(n-2)*180 (n is the number of angles)

4*180 = 720

Check the picture below.

if the diameter of its base is 12, then its radius must be half that, or 6.

[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]

The expected value of the winnings from a game that has the following payout probability distribution is 2.3

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.

To calculate the expected value ,

we have to multiply each of the given probability by the individual payout value and then add the following answers

So, expected value

=0(0.45) + 2(0.3) + 4(0.1) + 8(0.1) + 10(0.05)

=0+0.6+0.4+0.8+0.5

= $2.3

Hence, the expected value is 2.3

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ACTUAL ANSWER:

3.1

Step-by-step explanation:

0.45(0) + 0.3(4) + 0.1(6) + 0.1(8) + 0.05(10)

= 3.1

Also I checked on on Acellus and it was correct.

Answer:

∠ A = 56°

Step-by-step explanation:

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

sum the 3 angles and equate to 180

2x + 3x + 40 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

then

∠ A = 2x = 2 × 28 = 56°

Answer:

(x - 6)(x - 3)

Step-by-step explanation:

x² - 9x + 18

consider the factors of the constant term (+ 18) which sum to give the coefficient if the x- term (- 9 )

the factors are - 6 and - 3 , since

- 6 × - 3 = + 18 and - 6 - 3 = - 9 , then

x² - 9x + 18 = (x - 6)(x - 3) ← in factored form

Answer:

(x - 3)(x - 6)

Step-by-step explanation:

x²- 9x+18

= x^2 - 6x - 3x + 18

= x(x - 6) - 3(x - 6)

= (x - 3)(x - 6).

Answer:

[tex]\frac{34}{40}[/tex]

Step-by-step explanation:

Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

Answer:

3/7

Step-by-step explanation:

Probability = number of favorable outcomes/total number of possible outcomes

We know the total number of possible outcomes is 14 since there are 14 sides to the dice.

Let's find how many of those numbers are prime numbers.

2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.

Now create the fraction then reduce.

6/14 reduce by 2/2

3/7

An equation is formed of two equal expressions. The equation that can be used to represent the graph is y=50x+300.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A.) The rate of change, in this case, signifies the number of followers Zora is gaining per hour. It can be found using any two coordinates of the line.

(x₁ , y₁) = (0,300) = coordinate of point 1,

(x₂ , y₂) = (2,400) = coordinate of point 2,

Now, the rate of change or the slope will be equal to,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{400-300}{2-0} = 50[/tex]

Hence, the rate at which Zora will gain followers is 50 followers/hour.

B.) The y-intercept is the value of y when the value of x is 0. Therefore, the y-intercept of the function is 300.

The y-intercept of the graph is 300, which means at the very initial stage Zora will have 300 followers.

C.) The graph is represented by a line, and the general equation of a line is represented by y=mx+c. To know the value of the constant c, substitute the value of the slope and any coordinate in the equation.

[tex]y=mx+c\\300=50(0)+c\\c=300[/tex]

Hence, the equation that can be used to represent the graph is y=50x+300.

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