Translate the following phrase into an algebraic expression. Use the variable b to represent the unknown quantity.

The number of soda bottles split 5 ways ​

Answer:

The answer is A.

Step-by-step explanation:

they equal the same amount

Answer: your slope would be -0.375

what is the shading

Step-by-step explanation:

???????

Answer:

3/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

They give you the equation and wish that you evaluate that expression by terms provided. You need only to substitue the values given into the equation

a)3(2^1)=3(2)=6

b)3(2^4)=3(16)=48

Answer:

a. 3 x 2^1 = 6

b. 3 x 2^4 = 48

Step-by-step explanation:

You basically just fill in the "t" spot with 1 and 4 and then solve it from there.

Hope this helped!!

Answer:

Step-by-step explanation:

R = 3x + 9y

They told us that R = 7, y = 6

So you can rewrite the equation as:

R = 3x + 9y

7 = 3x + 9(6)

7 = 3x + 54

Subtract 54 from both sides.

7 - 54 = 3x

-47 = 3x

To find x, you need to divide both sides by 3

3x = -47

x = -47/3

Answer:

The answer to our question is A = 16,100(1.001)12t; $17,510

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

x = 12, x = -12, those are the two zeros for the equation

Step-by-step explanation:

Answer:

indeed 12 :_ )

Step-by-step explanation:

Of the mentioned characteristics, that with the greatest range of values is Mass.

The mass of a star can range from about 0.08 solar masses to over 100 solar masses. This is a very wide range, and it is much wider than the ranges for radius, core temperature, or surface temperature.

The radius of a star is typically about 1-10 times the radius of the Sun. The core temperature of a star is typically about 10-100 million degrees Kelvin. The surface temperature of a star is typically about 2,000-30,000 degrees Kelvin.

Therefore, the mass of a star has the greatest range in values.

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Answer: -4x+10

Step-by-step explanation: .

Answer:

The negative sign is put before numbers to make them negative, or make their signs the opposite of what the are.

You have a 20.

+ 20

You don't need to put the + there if there is nothing before it, but that is a positive 20.

If you put a negative in front of it;

- (+ 20) = - 20

If you have a negative in front of parenthesis;

50 - (2x - 20)

50 - 2x + 20

70 - 2x

The mode is 18.5.

What is mode?

In statistics, there  are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.

Formula for mode for grouped data is given by:

Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)

Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.

In the given problem l= 15.5

                                   f₀= 8

                                  f₁= 10

                                  f₂= 8

                                  h= 6

Putting all the values in equation (1) we obtain mode

                     mode= 15.5 +{(10-8)/(2×10-8-8)} ×6

                              = 15.5+(2/4)×6

                              = 15.5+ 3

                               = 18.5

Hence, the mode is 18.5.

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Answer:

C

Step-by-step explanation:

30+0.05n=40

0.05n=40-30=10

n=10÷0.05

n=200

To prove that AC ⊕ EC, we need to show that quadrilateral DEFG being a rectangle and BC ⊕ DC implies that AC ⊕ EC.

To begin, we know that quadrilateral DEFG is a rectangle. In a rectangle, opposite sides are equal in length and parallel to each other.

Given that BC ⊕ DC, we can infer that BC and DC are not equal in length.

Since DEFG is a rectangle, this means that AB and DE are also not equal in length, as they are opposite sides. Similarly, AD and BC are not equal in length.

Now, let's consider triangle ABC. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Applying this to triangle ABC, we have:

AB + BC > AC
AD + DC > AC

Since AB and DC are not equal in length, and BC and AD are not equal in length, we can conclude that AC is the longest side in triangle ABC.

Now, let's look at triangle CDE. Again, using the same rule for triangles:

AC + CE > EC
AD + DE > EC

Since AC is the longest side in triangle ABC, and AD is not equal in length to DE, we can conclude that AC is longer than EC.

Therefore, we have proved that if quadrilateral DEFG is a rectangle and BC ⊕ DC, then AC ⊕ EC.

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Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

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The distance and bearing of the second boat are 4√5 km and 63.435°

respectively.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given is a right angled triangle.

We have to calculate the distance of A from C, which is the distance d.

Using the Pythagoras theorem,

(AC)² = (AB)² + (BC)²

d² = 8² + 4²

d² = 64 + 16

d² = 80

d = √(16 × 5)

  = 4√5 km

Bearing is the angle measured clockwise from north.

Let θ be the angle CAB.

sin θ = BC / AC

        = 4/ (4√5)

        = 1/√5

θ = 26.565°

Bearing, x = 90 - θ = 63.435°

Hence the bearing of the second boat is 63.435°.

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Answer:

????

Step-by-step explanation:

It is solved

maybe you want the graph it?  or make a table of the values?

Answer:18

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

that is the answer

9514 1404 393

Answer:

  m = 1/2

  b = -7

Step-by-step explanation:

The formulas for these can be used.

  m = (y2 -y1)/(x2 -x1) . . . . . . . . . formula for slope given 2 points

  m = (-9 -(-11))/(-4-(-8)) = 2/4

  m = 1/2

__

  b = y1 -m·x1 . . . . . . . . . . . . formula for y-intercept given slope and point

  b = -11 -(1/2)(-8) = -11 +4

  b = -7

Answer:

A= real no.

B= irrational no.

C=rational no.

D=integers

E= whole no.

F= Natural no.

1. Supplementary

2. Complementary

3. Adjacent angles

4. Vertically opposite angles

Hope it helps. Please mark brainliest.

Answer:

6

Step-by-step explanation:

To find how many perennials there are, multiply the amount of plants by the percent of perennials. When you multiply percents, just put the percent behind the decimal

60x0.35=21

There are 21 perennials

Do the same for the biennials:

60x0.25=15

Therefore 15 biennials

Subtract the amount of perennials from the amount of biennials

21-15=6

There is 6 more perennials than biennials

Answer:

the answer is 6

21-15=6

Step-by-step explanation.

35% of 60 = 21 for perenalis

25% of 60 = 15 for biennials

40% of 60 = 24 for annuals

Step-by-step explanation:

please I don't understand the question

Answer: The answer is b !

Image attached should help

The line of best fit is:

y = 3.1x + 12.9

Option A is the correct answer.

We have,

The line of best fit can be expressed in the form of y = ax + b,

where a is the slope of the line and b is the y-intercept.

From the given LinReg results, we have:

a = 3.1

b = 12.9

Substituting a and b in the equation y = ax + b we get,

The line of best fit is:

y = 3.1x + 12.9

Thus,

The line of best fit is:

y = 3.1x + 12.9

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Answer:

Step-by-step explanation:

The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.

Given

Length of the frame = 45in

Width of the frame = 37in

Required

Area of the frame

Area of the rectangular frame = Length * Breadth

Area of the rectangular frame = 45in * 37in

Given 1feet = 12in

45in = 45/12 ft=  3.75ft

37 in = 37/12 ft = 3.083 ft

Area of the frame = 3.75ft * 3.083 ft

Area of the frame = 11.56ft²

Area of the frame ≈ 12ft²

Answer:

x = 4

Step-by-step explanation:

This is an equation but solving inequalities is very similar to solving equations.

\( - 2x + 3 = - 5\)

Subtract 3 from both sides.

\( - 2x = - 8\)

Divide by - 2 from both sides.

\(x = 4\)

(I originally typed the equation as - 2x + 3 = 5, my bad.)

Answer:

x=4

Step-by-step explanation:

m

a

t

h

w

a

y

arctan(1/8) ≈ 1/8.To find a series representation for arctan(x), we can use the Taylor series expansion of arctan(x) around x = 0.

The Taylor series representation of arctan(x) is given by:

arctan(x) = x - (x^3)/3 + (x^5)/5 - (x^7)/7 + ...

We can use this series representation to approximate arctan(1/8) to the desired accuracy.

Substituting x = 1/8 into the series representation, we have:

arctan(1/8) ≈ (1/8) - ((1/8)^3)/3 + ((1/8)^5)/5 - ((1/8)^7)/7 + ...

To approximate arctan(1/8) to an accuracy of 0.001, we continue adding terms in the series until the absolute value of the next term is less than 0.001.

Let's calculate the first few terms to see the pattern:

arctan(1/8) ≈ (1/8) - ((1/8)^3)/3 + ((1/8)^5)/5 - ((1/8)^7)/7

arctan(1/8) ≈ 1/8 - 1/3072 + 1/81920 - 1/2883584

To determine the accuracy, we need to calculate the value of the next term in the series:

Next term ≈ (1/8)^9/9 = 1/20643840

Since the next term, 1/20643840, is smaller than 0.001, we can stop here.

Approximating arctan(1/8) to an accuracy of 0.001, we have:

arctan(1/8) ≈ 1/8 - 1/3072 + 1/81920 - 1/2883584

Now, let's simplify this expression:

arctan(1/8) ≈ 0.125 - 0.00032552083 + 0.00001220703 - 0.00000034681

Adding up these terms, we get:

arctan(1/8) ≈ 0.12481190972

To round to an accuracy of 0.001, we need to consider the next denominator place:

arctan(1/8) ≈ 0.125

Therefore, the approximation of arctan(1/8) to an accuracy of 0.001 is 0.125.

The correct answer is:

arctan(1/8) ≈ 1/8.

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Answer:

13.5

Step-by-step explanation:

Answer:

C.) the length of the arc it intercepts is the same as the length of the radius

Step-by-step explanation:

The length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

It is defined as the combination of points that, and every point has an equal distance from a fixed point (called the center of a circle).

As we know, the relationship between arc length and the central angle:

s = rθ

\(\rm \theta = \dfrac{s}{r}\)

Where 's' is the arc length and θ is the central angle, r is the radius of the circle.

If θ = 1 radian

Then,

s = r

Thus, the length of the arc it intercepts is the same as the length of the

radius option (C) is correct.

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