Algebra 1 > J.7 Solve linear equations: complete the solution EVP
Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions. Simplify any fractions.
11d4 14 = -7
11d 18 = -7
Submit
11d =
d =
Subtract 4 from both sides
Add 4 to both sides
Subtract 4 from both sides
Work it

Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

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Answer:

A

Step-by-step explanation:

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer:

12 %

Step-by-step explanation:

3/25 = 0.12

0.12 x 100 = 12

Answer:

12%

Step-by-step explanation:

3/25=0.12

0.12 turnes into 12%

Answer:

x = -1, 7

( x + 1 ) , ( x - 7 )

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Answer:

\(\frac{1}{9^{8}}\)

Step-by-step explanation:

When multiplying two numbers with exponents with the same base, you simply add the two exponents together, even if they're negative:

\(9^{-5}*9^{-3} =9^{-8}\)

When a number has a negative exponent (\(x^{-2}\)) it means that the number is equal to 1/that number (\(\frac{1}{x^{2}}\))

\(9^{-8}=\frac{1}{9^{8}}\)

Answer:

For 3 pounds, 3 ÷ 1/8 = 54

For 7 pounds, 7 ÷ 1/8 = 56

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

6*2=12

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\(\text{The two angles are supplementary, so their measures add up to 180 degrees.}\)

\(~~~~~~15x+105 = 180\\\\\implies 15x = 180 -105\\\\\implies 15x = 75\\\\\implies x =\dfrac{75}{15}\\\\\implies x = 5\)

The primitive function for \(f(x) = 4e^{2x} + e^{-x}\) is given by it's indefinite integral.

To calculate it, recall:

\(\frac{d}{dx}e^{ax}=ae^{ax}\)

\(\int c f(x)dx = c\int f(x)dx\)

Let's begin

\(\int 4e^{2x}+e^{-x}dx \\4\int e^{2x}dx+ \int e^{-x}dx\\4\frac{e^{2x}}{2}+\frac{e^{-x}}{-1} + c\\\)

\(F(x) = 2e^{2x}-e^{-x} +c\)

To find the costant, we just need to use the fact that \(F(0)=2\)

\(F(0) = 2 \\4e^{0}+e^{0} + c =2\\5+c =2\\c=-3\)

Therefore,

\(\boxed{F(x) = 2e^{2x} - e^{-x} -3 }\)

Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

From the question, we are to calculate the area of the cellphone shown in the diagram

From the given information,

We have a diagram that shows a cellphone which is rectangular in shape.

Thus,

We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.

Area of a rectangle = Length * Width

From the given information,

Length of the cellphone = 6x²y⁶

Width of the cellphone = 3x⁻³y²

Thus,

Area of the cellphone = 6x²y⁶ × 3x⁻³y²

Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²

Area of the cellphone = 18 × x⁻¹ × y⁸

Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x

Hence,

The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

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Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -

A = {Exercise, movies}.

A bar graph can be defined as a chart or a graphical representation of data, quantities or numbers using bars.

Given is a bar graph that shows the time spend in leisure activities.

The set of leisure activities in which participation exceeds 59% can be represented in roster form by writing all such activities one by one separated by commas inside the parenthesis bracket { }. From the bar-graph it is clear that the activities in which participation exceeds 59% are Exercise and movies. In the roster form, we can write them as -

A = {Exercise, movies}.

Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -

A = {Exercise, movies}.

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Step-by-step explanation:

3x + y = 9

3x − 5y = 15

Solve with elimination.  Subtract the second equation from the first.

6y = -6

y = -1

Plug into either equation to find x.

3x + -1 = 9

3x = 10

x = 10/3

Answer:

no espanol

Step-by-step explanation:

i don't speak Spanish

Answer:

332*14.4% = 332*.144 = 47.808

Answer:

  (c)  The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

Step-by-step explanation:

You want to know the relationship between the graphs of function f(x) and its inverse f⁻¹(x).

The inverse of a function maps every y-value of the original function to its corresponding x-value. That is if you have ...

  f(a) = b

then the graph of f(x) contains the ordered pair (a, b).

The inverse function will have the ordered pair (b, a). That is,

  f⁻¹(b) = a

If an ordered pair (x-intercept) of the inverse function is ...

  (P, 0)

Then there will be an ordered pair (0, P) on the graph of the original function. That point is the y-intercept, and its y-coordinate is the same as the x-coordinate of the x-intercept of the inverse function.

The x-intercept of f⁻¹(x) is the same as the y-intercept of f(x).

__

Additional comment

The graphs of the two functions are mirror images of each other across the line y=x.

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the area of a triangle is half the area of the rectangle:

100 cm / 2 = 50 cm

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

We can solve the inequality by isolating the variable, we will get:

x < 8

This is just like an equation, what we need to do is isolate the variable in one of the sides.

Here we have the inequality:

3x - 5 < 19

To solve it, let's isolate the variable x.

We can start by adding 5 in both sides, then we will get:

3x < 19 + 5

3x < 24

Now let's divide both sides by 3, so we will get:

x < 24/3

x < 8

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Answer: 5.79

Step-by-step explanation:

From the question,

3 people ordered the 4.75 chicken dinner. The cost will be:

= 4.75 × 3

= 14.25

2 people ordered the 4.95 fish dinner. The cost will be:

= 4.95 × 2

= 9.9

5 had beef dinner at cost of 6.75 each. This cost will be:

= 6.75 × 5

= 33.75

Total cost will be:

= 14.25 + 9.9 + 33.75

= 57.9

Therefore, the average cost of each dinner at Mary's party will be:

= Total cost / Number or people

= 57.9 / 10

= 5.79

The equation for total cost of buying and shipping the records is

76.4x + 80

We have,

She buys 3 in good condition

So, the cost for 3 good condition

= 3 (10.5x)

= 31.5 x

and, She buys 1 in Fair condition

So, the for 1 fair condition

= 5x

and, She buy 2 new condition then the price is

= 39.9 x

So, the equation for total cost of buying and shipping the records is

= 31.5x + 5x + 39.9x + 8

= 76.4x + 8

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The expression which is equivalent to -5(b - 6) as required to be determined in the task content is; -5b + 30.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Since the expression given is; -5(b- 6).

By using the distributive property of numbers

= (-5 × b) + (-5 × -6)

= -5b + 30

Thus, the linear expression which is equivalent to -5(b - 6) as required is; -5b + 30.

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The Question attached seems to be incomplete/ inappropriate. the complete Question is:

Which expression is equivalent to -5(b - 6).

Jason will need to mow an area of 12.2 ft. × 22.4 ft. = 273.28 square feet of yard.

Answer: 273.28 sq ft

Step-by-step explanation:

12.2x24.4=273.28 sq ft.

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Answer: Left column x- axis

Right column : Tournament round

Left column: y-axis.

Right column: number of teams remaining

Step-by-step explanation:

You expect the y -value, teams remaining to decrease as you go from the first round to the last round in the x-values.

After the first round only 32 teams will left.

After the second round 16 teams will left.

After the third round 8 teams will left.

After the fourth round only 4 teams will left.

After the fifth round only 3 teams will left.

After the sixth round only 1 team will left.

If x and y are two variables in an algebraic equation and every value of x is linked with any other value of y, then 'y' value is said to be a function of x value known as an independent variable, and 'y' value is known as a dependent variable.

An exponential function is a mathematical function in the form f(x) = \(a^{x}\) where x is a variable, and a is a constant called the base of the function.

According to the given question

We have an exponential function

\(f(x) = 64(\frac{1}{2} )^{x}\)

And y-axis  represents the teams remaining and x axis represents the tournaments round

Since, here the values of x are independent variables and values of y are dependent variables.

Now for the

Tournament round 1 ,

y = f(1) = \(64(\frac{1}{2} )=32\)

⇒ 32 teams are remaining

Tournament round 2

\(y = f(2) = 64(\frac{1}{2}) ^{2}\)

⇒ y = 16, only 16 teams are remaining

For round 3

\(y = f(3) = 64(\frac{1}{2}) ^{3} =8\)

For round 4

\(y = f(4) = 64(\frac{1}{2} )^{4}= 4\)

⇒ Only 4 teams are remaining

For round 5

\(y = f(5) = 64(\frac{1}{2} )^{5} = 2\)

⇒ only 2 teams are remaining

For round 6

\(y = f(6) = 64(\frac{1}{2}) ^{6}=1\)

⇒ only one team is remaining

By using these parameters we will plot a graph for tournament rounds .

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The recursion tree is log2m and has log2m nodes .

A recursive algorithm calls itself with smaller input values and returns the result for the current input by carrying out basic operations on the returned value for the smaller input.

A iterative method is a mathematical procedure that uses an initial value to generate a sequence of improving approximate solutions for a class of problems, in which the n-th approximation is derived from the previous ones.

In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for recurrence relations of types that occur in the analysis of many divide and conquer algorithms.

Two integers x and y are given. x and y require n bit and m bit respectively. Two algorithms to compute x y need to be analyzed.

Iterative: The pseudocode for this algorithm is as follows.

product = x;

for i = 2 to y do

product = product * x

The result after the multiplication of two integers, one p bits long and another one q bits long requires p q bits to to store. Therefore, for a given i , we are multiplying one ( i − 1)n bits long integer with an n bit long integer. This multiplication cost is ( i − 1)n2 .

The resulting number after the multiplication is i.n bits long. Thus

adding up all the multiplication cost we get

n2 + 2n2 + 3n2 + . . . + (y − 1)n2. Thus the complexity of the iterative algorithm is O(n2y2) which exponential in

the input length of y which is m = log2 y.

Recursive: The pseudocode for this algorithm is as follows:

function recursive (x ,y)

if y is even then return (x(by2c))2

if y is odd then return x ∗ (x(by2)c)2.

Computing (x(by2c))2

requires a multiplication involving two y2

n bits integers. The cost of this operation is y24.n2 which is O(y2n2). The recurrence relation for this

recursive routine is

T(y) = O(n) when y is 1-bit long.

T(y) = T(y2) + O(y2n2) otherwise.

Applying the Master Theorem we can conclude that T(y) ∈ O(y2n2). The height

of the recursion tree is log2m and has log2m nodes.

Thus both the algorithms have the same worst case complexity.

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Two integers x and y are given. x and y require n bit and m bit respectively. Two algorithms to compute x y need to be analyzed.

product = x;

for i = 2 to y do

product = product * x

The result after the multiplication of two integers, one p bits long and another one q bits long requires p q bits to to store. Therefore, for a given i , we are multiplying one ( i − 1)n bits long integer with an n bit long integer. This multiplication cost is ( i − 1)n2 .

n2 + 2n2 + 3n2 + . . . + (y − 1)n2. Thus the complexity of the iterative algorithm is O(n2y2) which exponential in

the input length of y which is m = log2 y.

function recursive (x ,y)

if y is even then return (x(by2c))2

if y is odd then return x ∗ (x(by2)c)2.

Computing (x(by2c))2

requires a multiplication involving two y2

n bits integers. The cost of this operation is y24.n2 which is O(y2n2). The recurrence relation for this

recursive routine is

T(y) = O(n) when y is 1-bit long.

T(y) = T(y2) + O(y2n2) otherwise.

Thus both the algorithms have the same worst case complexity.

Answer:

cute scalene triangle.

Sides: a = 1   b = 2   c = 1.906

Area: T = 0.94

Perimeter: p = 4.906

Semiperimeter: s = 2.453

Angle ∠ A = α = 29.543° = 29°32'36″ = 0.516 rad

Angle ∠ B = β = 80.457° = 80°27'24″ = 1.404 rad

Angle ∠ C = γ = 70° = 1.222 rad

Height: ha = 1.879

Height: hb = 0.94

Height: hc = 0.986

Median: ma = 1.888

Median: mb = 1.147

Median: mc = 1.262

Inradius: r = 0.383

Circumradius: R = 1.014

Vertex coordinates: A[1.906; 0] B[0; 0] C[0.166; 0.986]

Centroid: CG[0.691; 0.329]

Coordinates of the circumscribed circle: U[0.953; 0.347]

Coordinates of the inscribed circle: I[0.453; 0.383]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.457° = 150°27'24″ = 0.516 rad

∠ B' = β' = 99.543° = 99°32'36″ = 1.404 rad

∠ C' = γ' = 110° = 1.222 rad

Step-by-step explanation:

Answer:

No, but it is a Rhombus.

Step-by-step explanation:

Hope this Helps.

Answer:

269.75

Hope this helps:)

Step-by-step explanation:

Answer:

A = L × W A = L × W A=L×W.

A = L × W A = L × W A=L×W.

P = 2 L + 2 W P = 2L + 2W P=2L+2W.