Solve the following formula for the specified variable.

B =1/2m(r + k) for r

Answer:

erm

Step-by-step explanation:

0.2

1/4

40%

0.5

3/4

Answer:

f = 43/40 or 1 13/30

Step-by-step explanation:

60f=86

Divide each side by 60

60f/60=86/60

f = 86/60

Divide the top and bottom by 2

f = 43/30 or as a mixed number 1 13/30

Answer:

irrational

Step-by-step explanation:

example: rational=½=0.5

irrational=3.1428571…

0.5+3.1428571

3.6428571.....

It is irrational because it cannot be changed into fraction form

Answer:

Step-by-step explanation:

[tex]x^{2} + 3x - 10 = 0\\a *c = 1*-10=-10\\Find-factors-when-they- are -added= 3x -and-when-multiplied=-10\\Factors = -2x, and 5x\\x^{2} -2x+5x-10=0\\x(x-2)+5(x-2)=0\\(x-2)(x+5)=0\\(x-2)=0 ,or, (x+5)=0\\x = 0+2 , or, x =0-5\\x = 2 \\x =- 5[/tex]

The solutions to the given quadratic equation x² + 3x - 10 = 0 are x = 2 and x = -5.

The quadratic equation is given as follows:

x² + 3x - 10 = 0

To solve the equation x² + 3x - 10 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the equation in the form ax² + bx + c.

Here, a = 1, b = 3, and c = -10, so we have:

x = (-3 ± √(3² - 4(1)(-10))) / 2(1)

x = (-3 ± √(49)) / 2

x = (-3 ± 7) / 2

So, the solutions are:

x = (-3 + 7) / 2 = 2

x = (-3 - 7) / 2 = -5

Therefore, the solutions to the equation x² + 3x - 10 = 0 are x = 2 and x = -5.

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Answer: 2

Step-by-step explanation:

one plus one equals 2.

1+1=2

Answer:2

Step-by-step explanation:

Answer:

84.78

Step-by-step explanation:

You do 27 tomes pi(3.14)

Answer:

Circumference ≈ 84.82cm

Step-by-step explanation:

The diameter is 27cm

The equation to find circumference is (2πr)   (Two times pi times radius)

We are given the diameter, the length across entire circle through the center of the circle, but we need radius, the distance between the center point to the edge of the circle.

To get radius, you divide diameter by 2, getting 13.5.

Now, all you have to do is "plug-and-chug,"  putting 13.5 in for radius in the circumference equation. (2π13.5)

You will get Circumference ≈ 84.82

Answer:

88

Step-by-step explanation:

the sequence goes on subtracting 4, 2, 4, 2, 4

hence, with the last number being subtracted by 4, you must then add on 2

86  + 2 = 88

Answer:

Increase in value: $20650

Current house value: $315650

Answer:

L=16.5 inches

Step-by-step explanation:

L=W+12

P= 2L+2W

P=2(W+12)+2W

42=4W+24

4W=42-24

W=18/4=4.5

L=12+4.5=16.5 inches

Answer:

b.2/6.

Step-by-step explanation:

Simplify each fraction

a.3/3 =1

b.2/6. Divide the top and bottom by 2  1/3

c.3/12 Divide the top and bottom by 3  1/4

d.7/12 Does not simplify

Answer:

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

Step-by-step explanation:

I don't think that there are two answers. I think there's only one.

Answer:

The new ribbon is 511.85 meter long.

The total cost Rs. 6142.2

Step-by-step explanation:

First of all we convert all lengths to the standard unit that is meter.

0.5 km =500 meter

1005 cm = 10.05 meter

1800 mm = 1.8 meter

total length in meters

500+10.05+1.8= 511.85

total cost at the rate of Rs. 12 per meter will be

511.85×12=6142.2

The length of the new ribbon is 511.85m.

The cost of the single ribbon formed is Rs. 6142.20.

Common units of length are Millimeter(mm), centimeter(cm), meter(m), and kilometer(km).

The S.I. unit of length is the meter.

All units relate to the meter in the following way:

1000mm = 1m ⇒ 1mm = 1/1000m ⇒ 1mm = 0.001m

100cm = 1m ⇒ 1cm = 1/100m ⇒ 1cm = 0.01m

1km = 1000m

The lengths of three pieces of ribbon are given as 0.5km, 1005cm, and 1800mm.

We are asked to find the length of the ribbon formed by joining these 3 ribbons.

To find the total length, we need to add them, but to add we need lengths in equal units. So we convert the three lengths into the common unit meter.

0.5km = 0.5 * 1000 m = 500m (∵ 1km = 1000m)

1005cm = 1005 * 0.01m = 10.05m (∵ 1cm = 0.01m)

1800mm = 1800 * 0.001m = 1.8m (∵ 1mm = 0.001m)

∴ The length of the new ribbon = 500 + 10.05 + 1.8 m = 511.85m.

Cost of the ribbon = Rs. 12 per meter

∴ Cost of the single ribbon formed = Rs. 12 * 511.85 = Rs. 6142.20.

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Answer: 1. a

2. -75

Step-by-step explanation:

Answer:

1.A 2.-75

Step-by-step explanation:

I solved it and got those awnsers

Answer:

False

Step-by-step explanation:

it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.

The given statement is false.

We have given that,

The triangles shown below must be congruent.

60°

60°

30°

150

We have to determine whether the given statement is true or false.

The sum of all angles is 180 degrees

[tex]\angle A+\angle B+\angle C=180[/tex]

it's because congruent triangles are 180 degrees and that added up is more than 180 degrees.

Therefore the given statement is false.

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Answer:

1110

Step-by-step explanation:

Coz I solved it

Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

The coordinate of point C is either (-1, 6) or (-1, -2)

The formula for calculating the area of a rectangle is expressed as;

where:

Get the height of the triagle:

6 = 0.5(3)h

6 = 1.5h

h = 6/1.5

h = 4 units

Since point C is perpendicular to line y = 2, the y-coordinates will be either (2 + 4) = 6 or (2 - 4) = -2

Hence the coordinate of point C is either (-1, 6) or (-1, -2)

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Answer:

1 = 118 degrees

Step-by-step explanation:

Since a straight line is 180 degrees take

180 - 62 = 118 degrees

(Even though the line is slanted it still equals 180 degrees).

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

x=-1

Step-by-step explanation:

12x+28=16

-28 on both sides

12x=-12

x=-1

Answer:

[tex] {(4x)}^{ \frac{3}{2}} [/tex]

Step-by-step explanation:

[tex] \huge \sqrt{( {4x)}^{3} } \\ \\ \huge = \: {(4x)}^{3 \times \frac{1}{2} } \\ \\ {\huge {\red{ \boxed{ = {(4x)}^{ \frac{3}{2} }}}}}..required \: answer \\ \\ \huge = ( {4})^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2}^{2} })^{ \frac{3}{2} } {x}^{ \frac{3}{2} } \\ \\ \huge = ( { {2} })^{ 3 } {x}^{ \frac{3}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{3}{2} } [/tex]

Answer: 21/400

Step-by-step explanation:

Multivitamin:

8 cherry, 5 grape, and 7 orange

Total fruits in Multivitamin container :

(8 + 5 + 7) = 20

P(orange) = Total required outcome / Total possible outcomes)

P(orange) = 7/20

Calcium vitamin :

11 berry, 3 lemon, and 6 pineapple

Total fruits in calcium vitamin container:

(11 + 3 + 6) = 20

Probability of picking a lemon:

P(lemon) = Total required outcome / Total possible outcomes)

P(lemon) = 3/20

Therefore, probability of picking an orange and a lemon equals:

P(orange) × p(lemon) = (7/20) × (3/20) = 21/400

Answer:

55.5 kg.

Step-by-step explanation:

Potential energy =  mgh

= m * 9.81 * 4.5 = 2450    where m  is the mass of the man.

m = 2450 / (9.81* 4.5)

= 55.5 kg.

Answer:

false

Step-by-step explanation:

i got it right

Answer:true

Step-by-step explanation:

is true if you don’t believe me check the picture

Answer:

n = -21/11

Step-by-step explanation:

11(n - 1) + 35 = 3

Expand the brackets.

11n - 11 + 35 = 3

Add the terms -11 and 35.

11n + 24 = 3

Subtract 24 on both sides.

11n = 3 - 24

Subtract.

11n = -21

Divide 11 into both sides.

n = -21/11

Answer:

[tex]n = - \frac{21}{11} \\ [/tex]

Step-by-step explanation:

[tex]11(n - 1) + 35 = 3 \\ 11n - 11 + 35 = 3 \\ 11n + 24 = 3 \\ 11n = 3 - 24 \\ 11n = - 21 \\ \frac{11n}{11} = \frac{ - 21}{11} \\ n = - \frac{21}{11} [/tex]

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

Step-by-step explanation:

Quadratic function to be graphed is,

h(x) = (x - 1)² - 9

By comparing this equation with the vertex form of the parabola,

f(x) = (x - h)² + k

here (h, k) is the vertex of the parabola.

Therefore, vertex of the parabola to be graphed will be (1, -9)

Since coefficient of highest degree term (x²) is positive, parabola will open upwards.

Axis of symmetry of the parabola,

x = 1

For x-intercepts,

(x - 1)² - 9 = 0

(x - 1)² = 9

(x - 1) = ±3

x = 1 ± 3

x = -2, 4

Points of x-intercepts will be (-2, 0), (4, 0).

For y-intercepts, (x = 0)

h(x) = (0 - 1)² - 9

      = 1 - 9

      = -8

So the point of y-intercept will be (0, -8).

Answer:

Vertex : (1, -9)

Axis of symmetry : x = 1

x-intercepts : (-2, 0), (4, 0)

y-intercept : (0, -8)

See the attached graph of what it should all include and look like for Plato/Edmentum users

Step-by-step explanation:

Answer:

rectangle

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

1/x = 0

x(1/x)=(0)x

1 isn't equal to 0

Answer:

  none

Step-by-step explanation:

We assume you intend positive rational bases.

[tex]663_b[/tex] is divisible by 3, so cannot be prime.

None of these guesses are correct.

Let's work this problem in reverse.

Try it this way.

1/2x-4=5

This is actually quite simple to solve.

Because half of x minus 4 will equal 5, we just need to add 4 and 5 to get half of our mystery number. 4+5=9. So, 9 is half of x. Add 9 to 9 to get our mystery number, which is 18.

30 is not correct because Half of 30 is 15, and 15-4 is 11, not 5.

2 is also not correct because half of 2 is one, and 1-4 is -3, not 5.

4 1/2 is not correct as well because half of 4 1/2 is 2 1/4, and 2 1/4-4 is -2 1/2, not 5.

Hope this helped!

None of her guesses are correct. “When 4 is subtracted from half of a number the result is 5.” The number should be 18.

Two or more expressions with an Equal sign is called as Equation.

Given,

When 4 is subtracted from half of a number the result is 5.”

Let the number be x

x/2-4=5

We need to find the value of x

x/2=5+4

x/2=9

x=18

a. Her first guess is 30. Is she correct

No, the number should be 18 not 30 because half of 30 is 15 and when we subtract 4 from 15 we get 11

b. Her first guess is 2. Is she correct

No, the number should be 18 not 2 because half of 2 is 1 and when we subtract 4 from 1 we get -3.

Even 4 1/ 2 is not correct hence 18 is not correct.

Hence, none of her guesses are correct.

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Answer:

-23.99048X + 310.7619

Step-by-step explanation:

Given the following :

Time(weeks) - - - mass(grams)

0 - - - - - - - - - - - - - 400

3 - - - - - - - - - - - - - 201

6 - - - - - - - - - - - - - 98

9 - - - - - - - - - - - - - 50

12 - - - - - - - - - - - - 24

15 - - - - - - - - - - - - 12

Using the regression calculator, the model for Mass(time), which best fits the data is represented by the equation:

ŷ = -23.99048X + 310.7619

Where, - 23.99044 is the slope or gradient

X is the time(t)

y is the Mass

310.7619 is the intercept. Point where the graph crosses the y-axis.

Answer:

M^t=400•(0.79)^t

Answer:

25 levels

Step-by-step explanation:

First, convert 1 2/5 to a decimal. Since 2/5=0.4, 1 2/5 is 1.4. Now, you can set up the following expression:

[tex]\dfrac{35\text{in}}{1.4\text{in}}=25[/tex] levels.

Hope this helps!