Assume that log 5 = .64769, log 3=.44211, and log 7 = .78309. Find log (15/7)

Answer:

I think it is y=-3

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

Based on the calculation below, the rate at which the weeds grow each day is 0.7%.

Given:

f(x) = 3(1.05)x = 3(1 + 0.05)x ................... (1)

Since there are 7 days in a week, the rate at which the weeds grow each day can be calculated from equation (1) by dividing 0.05 (i.e. 5% weekly growth rate) as follows:

f(x) = 3(1 + (0.05 / 7))x

f(x) = 3(1 + 0.007)x

f(x) = 3(1.007)x

Since 0.007 is the same as 0.7%, this implies that the rate at which the weeds grow each day is 0.7%.

The correct option is "f(x) = 3(1.007)7x; spreads at a rate of approximately 0.7% daily".

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Answer: Option 1

Step-by-step explanation: Correct for my test.

Answer:

-2 (filled in circle) to 7 (open circle)

Step-by-step explanation:

for the first equation x must be the equal to or smaller than 6. so -3(-2) equals 6 but anything less than -2, let's say -3(-3), will be BIGGER than six, so -2 including -2 which is a filled in circle.

solving it:

-3(x) \(\leq\) 6

\(\frac{-3x}{-3} \leq \frac{6}{-3}\)

\(x\leq -2\)

for the second equation x must be smaller than 17. so first you take out + 3 by subtracting it, leaving the equation as 2x<14. 2(7)<14 is NOT true so anything bigger than 7 leaves it as true because 6.98934747483 can still make it true, so anything smaller than 7 which is 7 with a not filled in, or open, circle

solving it:

\(2x + 3 (- 3) < 17 (- 3)\)

2x < 14

\(\frac{2x}{2} <\frac{14}{2}\)

x < 7

my explanation is all over the place, but hope this helps!!!

Answer:

6×6 =36 this will answer

Answer:

It is 36

Step-by-step explanation:

Hope this helped have an amazing day!

We can conclude that only some of the ratios in Table A are greater than the ratios in Table B. (option-c)

To compare the ratios of squares to circles in the tables, we must divide the value in the Squares column by the value in the Circles column for each row in the table.

For Table A, the ratios of squares to circles are:

5/3 = 1.67

10/6 = 1.67

For Table B, the ratios of squares to circles are:

10/3 = 3.33

20/9 = 2.22

Comparing the ratios in Table A to the ratios in Table B, we see that the first two ratios are equal (1.67) and the last two ratios are different (3.33 in Table B is greater than 1.67 in Table A, and 2.22 in Table B is less than 1.67 in Table A).

Specifically, the ratio in the second row of Table B is greater than both ratios in Table A, but the ratios in the first row of each table are equal.(option-c)

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Answer:

The values of the 2 numbers whose sum is 13 and difference is 3, are: {8 ; 5}.

Step-by-step explanation:

Answer: y in terms of x is y = 5x + 5.

Step-by-step explanation:

Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.

Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).

Using the point-slope form of a linear equation, we can write:

y - 5 = m(x - 1)

Substituting (6,15) into the equation:

15 - 5 = m(6 - 1)

So, m = 5.

Next, we can use the slope-intercept form of a linear equation to write y in terms of x:

y = mx + b

Substituting the values of m and b:

y = 5x + 5

So, y in terms of x is y = 5x + 5.

Answer:

- 7y +3 =-25

-7y=-25—3

-7y=-28

-7y÷-7= -28÷-7

y=4

Step-by-step explanation:

Take +3 to the side so that your variable and a constant is on their own sides. When a number goes over the equals sign the sign changes at becomes the inverse that's why l said - 3. You now calculate - 25—3 equals 28 then divide by 7 to find y and your y is 4.

It will take 5.625 hours for both Darryl and Valerie to paint the room if they work together .

In the question ,

it is given that ,

Darryl can paint the room in 9 hours .

So , in 1 hour Darryl can paint 1/9 of the room .

Valerie can paint the room in 15 hours .

So , in 1 hour Valerie can paint 1/15 of the room .

So , the time taken to paint the room together can be calculated using ,

1/t = 1/9 + 1/15

1/t = 5/45 + 3/45

1/t = 8/45

Simplifying further ,

we get ,

t = 45/8

t = 5.625

Therefore , the time taken will be 5.625 hours .

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Answer:

59.69 ft (nearest hundredth)

Step-by-step explanation:

The edge of a circular pool is the circumference of a circle

circumference of a circle = \(\pi d\)  (where d is the diameter)

Given diameter = 19 ft

⇒ circumference = 19\(\pi\) = 59.69 ft (nearest hundredth)

The equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.

To find the equation of the tangent line to the curve at the given point, we will differentiate the equation implicitly with respect to x.

Differentiating both sides of the equation x^(2/3) + y^(2/3) = 4 with respect to x, we get:

(2/3)x^(-1/3) + (2/3)y^(-1/3) * (dy/dx) = 0

Now we need to find the value of dy/dx at the point (-3sqrt3, 1).

Substituting x = -3sqrt3 and y = 1 into the equation, we have:

(2/3)(-3sqrt3)^(-1/3) + (2/3)(1)^(-1/3) * (dy/dx) = 0

Simplifying, we get:

(2/3)(-1/sqrt(3)) + (2/3) * (dy/dx) = 0

Simplifying further, we have:

-2/(3sqrt3) + (2/3) * (dy/dx) = 0

Now we can solve for (dy/dx):

(dy/dx) = 2/(2sqrt3) = 1/sqrt3

So the slope of the tangent line at the point (-3sqrt3, 1) is 1/sqrt3.

Now we have the slope of the tangent line and the point (-3sqrt3, 1), we can use the point-slope form to find the equation of the tangent line. The equation is given by:

y - y1 = m(x - x1)

Substituting the values, we have:

y - 1 = (1/sqrt3)(x - (-3sqrt3))

Simplifying, we get:

y - 1 = (1/sqrt3)(x + 3sqrt3)

y - 1 = (1/sqrt3)x + 3

Finally, rearranging the equation, we have:

y = (1/sqrt3)x + 4

So the equation of the tangent line to the curve at the point (-3sqrt3, 1) is y = (1/sqrt3)x + 4.

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The speed of the boat in still water is 15 mph.

To determine the speed of the boat in still water, we need to consider its speed relative to the water and the effects of the current.

Let's assume the speed of the boat in still water is represented by "b" and the speed of the current is represented by "c."

When the boat is traveling downstream, the speed of the boat relative to the water is increased by the speed of the current. Therefore, the effective speed of the boat downstream can be calculated as b + c. We are given that the boat traveled 120 miles downstream in 8 hours, so we can set up the equation:

120 = (b + c) * 8

Similarly, when the boat is traveling upstream against the current, the speed of the boat relative to the water is decreased by the speed of the current. Therefore, the effective speed of the boat upstream can be calculated as b - c. We are given that the boat traveled 63 miles upstream in 9 hours, so we can set up the equation:

63 = (b - c) * 9

By solving this system of equations, we find that the speed of the boat in still water (b) is 15 mph.

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The complete code to create a histogram in Kotlin that allows you to inspect the frequency visually with nine or fewer lines is shown below:import kotlin.random.

Randomfun main() {val array = Array(200) { Random.nextInt(1, 101) }array.sort()var i = 1while (i < 100) {val count = array.count { it < i + 10 && it >= i }println("${i} - ${i + 9} | ${count} | " + "*".repeat(count))i += 10}}

The program above first generates an array of 200 random integers between 1 and 100 inclusive. It then sorts the array in ascending order. Next, the program loops through the ranges from 1 to 100 in steps of 10.

Within the loop, the program counts the number of elements in the array that fall within the current range and prints out the corresponding row of the histogram chart.

Finally, the program increments the loop variable by 10 to move to the next range and continues the loop.

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Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

Answer:

62

Step-by-step explanation:

DEH is an isoceles triangle, so Angle DEH anf angle EHD are congruent.

180-56 = 124

124 / 2= 62

The piecewise function for this problem is defined as follows:

A piece-wise function is a function that has different definitions, depending on the input of the function.

Between x = -3 and x = -1, the linear function has a slope of 1, with a x-intercept of -3, meaning that the parent function y = x was shifted left 3 units, hence it is given as follows:

f(x) = x + 3, -3 ≤ x < -1

Between x = -1 and x = 1, the function is constant at y = 5, hence it is given as follows:

f(x) = 5, -1 ≤ x ≤ 1.

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Answer:

Take the information given and create an equation that add up to 360.

Step-by-step explanation:

You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x

The equation sets up as

55+65+(55+120)+x = 360

Add all the numbers to get 295.

295+x=360

Subtract 360-295 = x

x=65

The four angles are 55°,65°,175° and 65°

I hope this answers your question!

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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If the city worker released the statement that 60% of dairy city's 3,000 homes are in violation of city codes , then the City Worker's statement is an example of : (d) Statistical Inference .

The Statistical Inference involves making generalizations about a population based on a sample.

In this case, the city worker has taken a sample of 200 homes out of the total 3,000 homes in Dairy City, and based on that sample, the City Worker is making an inference about the proportion of homes in violation of city codes for the entire population of Dairy City.

The statement is not a census as a census would involve collecting data from every single unit in the population, in this case every single home in Dairy City.

The given question is incomplete , the complete question is

A city worker inspected 200 homes in dairy city. during that inspection, 120 homes were found to violate one or more city codes. the city worker released a statement that 60% of dairy city's 3,000 homes are in violation of city codes.

The City Worker's statement is an example of :

(a) Census

(b) An experiment

(c) Descriptive Statistics

(d) Statistical Inference

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Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

Answer:

c

Step-by-step explanation:

i did this b4

The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = \(\sqrt[3]{1000}\)

Therefore, each side is 10 inches.

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Answer:

y=-9/10x+8/5

Step-by-step explanation:

(-6,7) and (4,-2)

Use rise over run to solve for the slope:

(y1-y2)/(x1-x2)

(7- -2)/(-6-4)

(7+2)/(-6-4)

9/-10

-9/10 Move negative sign to make it easier to read

Now you have y=-9/10x+b

Plug in the values from either of the two points to solve for b:

(4,-2)

-2=-9/10 (4)+b

-2=-36/10+b

-2= -18/5 +b

-2+18/5=b

-10/5 +18/5=b

8/5=b

y=-9/10x+8/5

A month has 4 weeks, Jose's earnings for a month would be $619.8

First, let's calculate how much Jose earns in a week:

Earnings per day = $10.33/hour * 3 hours/day = $30.99/day

Weekly earnings = $30.99/day * 5 days/week = $154.95/week

Now, let's calculate the monthly earnings by multiplying the weekly earnings by the number of weeks in a month:

Monthly earnings = $154.95/week * 4 weeks/month = $619.80/month

Therefore, Jose will have $619.80 at the end of the month if he works 3 hours a day, 5 days a week, at a rate of $10.33 per hour.

At the end of the month, Jose would have earned $619.8.

As  Jose works 3 hours a day, 5 days a week, at $10.33 an hour, he would earn:

$10.33 x 3 hours a day x 5 days a week= $154.95 per week.

Since a month has 4 weeks, Jose's earnings for a month would be:

4 weeks x $154.95 per week= $619.8

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Answer:

I think answer is:

or,x+x-2x+184=2x

or,2x-2x+184=2x

or,184=2x

or,x=184÷2

or,x=92

Answer:

Is the title of the Question wrong? There's no way that squaring is equalith negative

Step-by-step explanation:

no because division is not associative only multiplication.

Answer:

\(t=3c-8\)

Step-by-step explanation:

It seems like your question is incomplete, so I will assume it is asking for an expression that represents how many cookies Anna has left.

Let t represent the total number of cookies left. Let's build this expression. If each batch contains c cookies, and there are 3 batches, the total number of cookies baked is 3 times c. Since she ate 8 cookies, 8 must be subtracted from that total. Therefore:

\(t=3c-8\)

Hope this helps!

Answer:

(104.50-18.50)/2=$43

Answer:

x is the amount of the adult ticket

x + 18.5 = 104.5 => x = 104.5 - 18.5  = $86

the price of each adult ticket : $86/2 =$43

Step-by-step explanation:

Answer: Y=50x

Step-by-step explanation:

since the average is 50 mph and y represents the total distance with x representing the time in hours the soluition would be y=50x where however many hours multiplied by 50 equals the distance in miles Dee traveled