If 5^x = 1/125 what is the value of x

Answer:

Alternate Exterior Angles

Step-by-step explanation:

The two angles are in the spots that would represent the angle I stated.

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Cladograms are considered to be hypotheses because they depict possible evolutionary relationships variable between organisms based on their shared characteristics.

Cladograms are diagrams that depict the evolutionary relationships between organisms based on shared characteristics. They are used to illustrate the evolutionary history of organisms and to show how different species are related to each other. Cladograms are considered to be hypotheses because they are used to make inferences about evolutionary relationships and are based on the assumption that organisms with similar characteristics are more closely related. Cladograms are used to reconstruct the phylogeny of organisms and to identify new species or recent evolutionary changes. Cladograms provide a visual representation of how organisms are related and can be used to make predictions about how organisms may have evolved in the past and how they may continue to evolve in the future.

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Since S satisfies both defining properties of an ideal in R, we can conclude that S is indeed an ideal in R.

To prove that the subset S = {λ1r1 +···+ λnrn | λ1,...,λn ∈ R} is an ideal in R, we need to show that it satisfies the two defining properties of an ideal:

1. S is a subgroup of R under addition.
2. S is closed under multiplication by elements of R.

First, let's show that S is a subgroup of R under addition.

- Closure under addition: Let x,y ∈ S, so that x = λ1r1 + ··· + λnrn and y = μ1r1 + ··· + μnrn for some λi,μi ∈ R. Then their sum is x + y = (λ1 + μ1)r1 + ··· + (λn + μn)rn, which is in S since each coefficient is still in R.

- Additive inverse: Let x ∈ S, so that x = λ1r1 + ··· + λnrn for some λi ∈ R. Then its additive inverse is -x = (-λ1)r1 + ··· + (-λn)rn, which is also in S since each coefficient is still in R.

Therefore, S is a subgroup of R under addition.

Next, let's show that S is closed under multiplication by elements of R.

- Closure under left multiplication: Let r ∈ R and x ∈ S, so that x = λ1r1 + ··· + λnrn for some λi ∈ R. Then their product is rx = (rλ1)r1 + ··· + (rλn)rn, which is in S since each coefficient is still in R.

- Closure under right multiplication: This follows from the distributive property of multiplication over addition.

Therefore, S is closed under multiplication by elements of R.

Since S satisfies both defining properties of an ideal in R, we can conclude that S is indeed an ideal in R.

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0.2164 is probability that exactly 4 of the couples said that they paid for their honeymoon.

What are examples and probability?

If x = no of married couples out of 5 who paid for their honeymoon .

then X ~ ( 5 , 0.56 )

P (X = 4 ) =  5C4( 0.56 )⁴ ( 0.44)¹

                = 0.2164

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The polynomial fitting process can be used to find the formula for the nth term of a sequence.  In this example, the differences are 1, 3, 5, 7, 9. This suggests the formula is an = n^2 + 3n + 1.

To test this formula, we can substitute various values of n into the equation and check to see if it gives us the same results as the sequence. For example, when n = 1, the equation returns 4, which is the first number in the sequence. When n = 2, the equation returns 8, which is the third number in the sequence. When n = 3, the equation returns 13, which is the fourth number in the sequence. This suggests that the formula is indeed correct. We can also check that the formula works for larger values of n. When n = 4, the equation returns 20, which is the fifth number in the sequence. When n = 5, the equation returns 29, which is the sixth number in the sequence. Finally, when n = 6, the equation returns 40, which is the seventh number in the sequence. Therefore, the formula for the nth term of the sequence (an)n> is an = \(n^2\) + 3n + 1.

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Answer:

q+72

Step-by-step explanation:

Answer:

v≈ -1.65573 ,v≈6.91725

Step-by-step explanation:

\(\frac{2}{v}-7+v-\frac{6}{v^2}-7v=\frac{4}{v-7}\\\mathrm{Find\:Least\:Common\:Multiplier\:of\:}v,\:v^2,\:v-7:\quad v^2\left(v-7\right)\\=\frac{2}{v}v^2\left(v-7\right)-7v^2\left(v-7\right)+vv^2\left(v-7\right)-\frac{6}{v^2}v^2\left(v-7\right)-7vv^2\left(v-7\right)=\frac{4}{v-7}v^2\left(v-7\right)\\Simplify\\=2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2\\\mathrm{Solve\:}\:2v\left(v-7\right)-7v^2\left(v-7\right)-6v^3\left(v-7\right)-6\left(v-7\right)=4v^2:\\\)

\(v\) ≈ -1.65573

\(v\) ≈ 6.91725

v=0, v=7

Answer:

v=0, v=7

Step-by-step explanation:

Answer:

A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than \begin{align*}360^\circ\end{align*} that carries the shape onto itself.

Step-by-step explanation:

The concept of statistical significance is mathematically defined and widely accepted by those who use it to assess the usefulness of scientific claims.

However, there is no single definition for practical significance. It is subjective in nature, experiential, and each person decides what it is based on their own experiences.

Thus, it is clear that while Practical significance lacks a common definition, statistical significance has a mathematical definition and is widely accepted by those who use it to assess the usefulness of scientific claims. It is a subjective concept that each person decides for themselves based on their personal experiences.

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Answer:

She made a profit of 1,335 cedis

Step-by-step explanation:

Here, we want to calculate the profit made

Profit is selling price - cost price

Her cost price is 65 credits

For her selling price;

she sells 3 for 20 cedis

So the price she sold 210 will be;

(210 * 20)/3 = 1,400 cedis

So the profit made is;

1,400-65 = 1,335 cedis

Answer:

1/3 is the answer

Step-by-step explanation:

Answer:

hi! so first you make 2/5 into 6/15 and the answer would be 5/15 (or 1/3 if you simplify it) because 6/15+5/15=11/15

Answer:

4x+20

Step-by-step explanation:

the probability is 0.6826 that x is in the symmetric interval about the mean between  two numbers then the two numbers are 70.002 and 89.998

What is the mean ?

it is the weighted average of numbers.

the probability is 0.6826 that x is in the symmetric interval about the mean between  two numbers then the two numbers are 70.002 and 89.998

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Answer:bellow hope I helped most likely c

Step-by-step explanation:

If 2% per year

480 x 1.02 = 489.6 first year

489.6 x 1.02= 499.392. Second year

499.392 x 1.02 = 509.37984 third year

If 2 % per all 3 years

480 x 1.02 = 489.6 all 3 years

If 2 % per each month

480 x 1.02 = 489.6 first month

489.6 x 1.02 = 499.392 second month

499.392 x 1.02 = 509.37984 third month

509.37984 x1.02 = 519.5674368 forth month

519.5674368 x1.02 =529.958785536 fifth month

529.958785536 x 1.02 =540.5579612467 sixth month

540.5579612467 x 1.02 = 551.3691204716 seventh month

551.3691204716 x 1.02 =562.396502881 eigth month

562.396502881xl x1.02 = 573.6444329386 nineth month

573.6444329386 x 1.02 =

585.1173215974 tenth month

585.1173215974 x 1.02= 596.8196680293 11th month

596.8196680293 x 1.02=608.7560613899 12 months (1 year)

608.7560613899 x1.02 = 620.9311826177 1st month 2nd year

620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year

633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year

646.0168023955 x 1.02 =658.9371384434 4th month 2nd year

658.9371384434 x 1.02= 672.1158812123 5th month 2nd year

672.1158812123 x1.02 = 685.5581988365 6th month 2nd year

685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year

699.2693628132 x1.02 =713.2547500695 8th month 2nd year

713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year

727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year

742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year

756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)

772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year

787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year

803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year

819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year

835.6916189634 x 1.02 =852.4054513427 5th month 3rd year

852.4054513427 x1.02 = 869.4535603696 6th month 3rd year

869.4535603696 x 1.02 =886.842631577 7th month 3rd year

886.842631577 x 1.02= 904.5794842085 8th month 3rd year

904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year

922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year

941.1244953706 x1.02 = 959.946985278 11th month 3rd year

959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)

Answer:

  g(n) = g(n-1) -15

  g(1) = -65

Step-by-step explanation:

We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.

__

  g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)

  g(n+1) = g(n) -15

and ...

  g(1) = -50 -15(1) = -65

Then the recursive formula can ge written as ...

  g(n) = g(n-1) -15

  g(1) = -65

_____

Additional comment

We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:

  g((n-1)+1) = g(n-1) -15

  g(n) = g(n -1) -15

Either of these forms tells you how to get the next term from the previous one.

Answer:

g(n) = g(n-1) -15

g(1) = -65

Step-by-step explanation:

answer on khan

The indefinite integral of (1 / 1+e^12x) is (1/12) ln|1+e^12x| + C, where C is the constant of integration.

To find the indefinite integral of (1 / 1+e^12x), we can use a table of integrals with forms involving eu. The form that matches our integral is ∫(1 / 1+e^u) du, where u=12x.

We can substitute u=12x and du/dx=12 to get ∫(1 / 1+e^12x) dx = (1/12) ∫(1 / 1+e^u) du.

Using the table of integrals, the integral of (1 / 1+e^u) du is ln|1+e^u| + C, where C is the constant of integration.

Substituting back in u=12x and multiplying by 1/12, we get the final answer: ∫(1 / 1+e^12x) dx = (1/12) ln|1+e^12x| + C.

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Answer:

4 gal / day

Step-by-step explanation:

12 gallons / 3 days

12/3 = 4

4 gallons / 1 day

Answer:

honestly,I also really didn't know the ans so I took it from internet. hope you won't mind

Answer:

1.) 12:30am

2.) 7:00pm

3.) 22:55 or 10:55pm

4.) 12:15am

5.) 5:38am

Step-by-step explanation:

Not me having to turn the clock on my phone to military time to make sure my answers were right XD

Answer: $122.64

Step-by-step explanation:

5% of $116.80 is $5.84

$116.80 + $5.84 = $122.64

If we assume that 1 Student can have atmost 1 award , then the possible selections for the 4 awards is  657720 .

The total number of students at Gatech is = 30 ;

The 4 awards that are being distributed to students are : Chemistry, English, Math and Physics ;

all the awards are different , and 4 students needed to be chosen out of 30 for 4 awards ; and

every student can have atmost only 1 award

So , the number of ways is = ³⁰P₄ (because order is important) = 657720 ;

Therefore , the possible selection for 4 awards is 657720 .

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The given question is incomplete , the complete question is

At Gatech there are 30 students and 4 awards in Chemistry, English, Math and Physics. Assume that a student can have at most one award.

How many possible selections for the 4 awards ?  

Based on the information provided about the scatterplot, we can draw a conclusion by analyzing the data points and their correlation with individual's weight and time it takes to raise their pulse rate to 140 beats per minute.

Step 1: Observe the scatterplot and identify the patterns or trends in the data.

Step 2: Compare the o's (females) and the +'s (males) to see if there are noticeable differences or similarities in the data.

Step 3: Determine if there is a positive, negative, or no correlation between weight and time taken to reach 140 beats per minute.

Step 4: Based on the observations, draw a conclusion about the most accurate statement regarding the data. Unfortunately, I cannot see the scatterplot itself, so I am unable to provide you with the most accurate conclusion.

However, using these steps, you can analyze the scatterplot and determine the correct conclusion.

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The greatest possible length of a side of a triangle whose perimeter is 1000 and all of whose sides have integral lengths is 400.

We have to determine the greatest possible length of a side of a triangle whose perimeter is 1000 and all of whose sides have integral lengths.

The sides of a triangle have lengths ratio 5:7:8.

The perimeter of triangle is the sum of all sides. So

5x + 7x + 8x = 1000

20x = 1000

Divide by 20 on side we get

x = 50

The length of all sides:

5x = 5 × 50 = 250

7x = 7 × 50 = 350

8x = 8 × 50 = 400

Hence, the greatest possible length of triangle is 400.

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The complete question is:

The sides of a triangle have lengths ratio 5:7:8. What is the greatest possible length of a side of a triangle whose perimeter is 1000 and all of whose sides have integral lengths?

Answer:

45.48

Step-by-step explanation:

The money earned on Monday, Tuesday, and Friday from 4 to 10 p.m. is $181.92. Therefore, the correct answer is option A.

Given that, the job pays $7.58 an hour.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Total number hours on Monday, Tuesday, and Friday from 4 to 10 p.m. is 24 hours.

Total money per week = Total number of hours × The pay per an hour

= 24×7.58

= $181.92

Therefore, the correct answer is option A.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

0.6

Step-by-step explanation:

Given problem:

                 \(\sqrt[3]{\frac{64}{343} }\)  

if an expression is of this form, we simplify

           \(\sqrt[3]{x}\)   = \(x^{\frac{1}{3} }\)  

\(\sqrt[3]{\frac{64}{343} }\)   = \(\frac{64^{\frac{1}{3} } }{343\frac{1}{3} }\)  

            = \(\frac{4^{3x ^{\frac{1}{3} } } }{7 ^{3 ^x{\frac{1}{3} } } }\)

           = \(\frac{4}{7}\)

           = 0.57 to the nearest tenth

          = 0.6