What is the exponent in the expression 7 superscript 6?671342

Answer:

the constant rate of change is 20

Step-by-step explanation:

Answer:

It point (-5,-3) lie on line y =mx-9

then it also satisfy the equation of line

\( - 3 = ( - 5) \times m - 9\)

\(m = - \frac{6}{ 5} \)

So the equation will be

\(y = ( \frac{ - 6}{5} )x - 9\)

Hope it helps you

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Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

Answer:

6.489× 10⁴

Step-by-step explanation:

(3×105)×(2×103)

315× 206

64,890

6.489×10⁴

Answer: 3,9,7,1,3,9,7,1

Step-by-step explanation: In the powers of 3 table, the ones digits form the repeating pattern

Answer:

1) No it repeating

2)No it doesn't terminate nor repeat

3) yes this terminates

4) no its repeating

Step-by-step explanation:

Answer:

(a) 0.00000221    (b) 4.2 x \(10^{5}\)

Step-by-step explanation:

(a)  \(10^{-6}\) means you need to move the decimal left (because of the negative) 6 spaces. So you have 2.21 move the decimal 6 spaces left and you end up with 0.00000221

(b) If you have 420,000 and you count 5 spaces from the last number, that leaves the decimal inbetween the 4 and 2 so your answer will be 4.2 x \(10^{5}\)

Step-by-step explanation:

go right 4

go down 3

it is the answer

Answer:

make me brainlest I'll answer that, I'm Bright in math

Answer:

$121,500

Step-by-step explanation:

If the value increases by 5% every year, then in 61 years  it will increase by

5% * 61 years = 305%

301% of %30,000  is $91,500

$(30,000 + 91,500)

= $121,500

Answer:

  60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

The square has a side length of ...

  P = 4s   ⇒   s = P/4 . . . . . P is perimeter, s is side length

  (60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

  A = s²

  A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

  A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

The perimeter of a rectangle is given by ...

  P = 2(L+W)

For this rectangle, the perimeter is ...

  P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

The variable that can be used for the number of brownies sold is x

The variable that can be used for Kate's profit is y

The equation that can be used to describe the pattern is y = 2x

A variable is quantity or symbol that may assume any one of a set of values.

Let

Kate's profit = Number of brownies sold × profit earned per brownies sold

If kate earned $8 as profit and sold 4 brownies

Kate's profit = Number of brownies sold × profit earned per brownies sold

8 = 4 × z

8 = 4z

divide both sides by 4

z = 8/4

z = 2

The equation:

Kate's profit = Number of brownies sold × profit earned per brownies sold

y = x × 2

y = 2x

Therefore, the equation that can be used to represent the situation is y = 2x

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Therefore, the ratio of the problem's development time to the total time spent by the students to solve the problem is 1/200.

The total time spent by the students to solve the problem is given by the product of the number of students and the average time per student:

Total time = $30,000 \times 24$ seconds.

The problem's development time is 1 hour, which is equal to 60 minutes or 60 minutes x 60 seconds = 3600 seconds.

To find the ratio of the problem's development time to the total time spent by the students, we divide the development time by the total time:

Ratio = Development time / Total time

Ratio = 3600 seconds / ($30,000 \times 24$ seconds).

Simplifying the expression:

Ratio = 3600 / (30,000 x 24)

Ratio = 3600 / 720,000

Ratio = 1/200

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Answer:

2^2 ( 1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)  =  4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44,48

3^2(1,2,3, 5)   =  9, 18, 27, 45

5^2(1, 2)  = 25, 50

7^2  = 49

19  numbers

Step-by-step explanation:

The decreasing arc of the function reaches a local minimum at x = 0. This can be seen by taking the derivative of the function and finding the critical point, which is x = 0.

The second derivative at x = 0 is positive, indicating a local minimum.
b. The function f does not have a global maximum. As x approaches infinity, the exponential term e^{2x} grows much faster than the polynomial term x^2-2, causing the function to increase without bound. Therefore, there is no upper bound or global maximum for the function.
Given the function f(x) = e^(2x)(x^2 - 2), we will determine whether the decreasing arc reaches a local or global minimum and whether the function has a global maximum.
a. To determine if the decreasing arc reaches a local or global minimum, we first find the critical points by taking the derivative of f(x) and setting it to zero:
f'(x) = d/dx[e^(2x)(x^2 - 2)]
Using the product rule, we get:
f'(x) = e^(2x)(2x^2 - 4x + 2)
Now, set f'(x) = 0 and solve for x:
e^(2x)(2x^2 - 4x + 2) = 0
Since e^(2x) is never equal to 0, we focus on the quadratic part:
2x^2 - 4x + 2 = 0
Solve the quadratic equation to find the critical points. Then, use the second derivative test to determine if the critical points correspond to a local minimum, maximum, or a saddle point.
b. To check if the function has a global maximum, consider its behavior as x approaches positive or negative infinity. If the function is unbounded in the positive direction, it does not have a global maximum. The exponential part of the function, e^(2x), grows without bound as x increases, so the function does not have a global maximum.

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The total Distance between all points is 15. This is the shortest distance between all points, so it is the time needed to travel between them

In order to calculate the time needed, we need to consider the distances between each point.

This can be done using the Pythagorean Theorem, which states that the hypotenuse of a right triangle is equal to the square root of the sum of the squares of the other two sides.

For this problem, we can treat each segment as the hypotenuse of a right triangle, where the other two sides are the distances between each point.Using this method,

we can calculate the distances between each point:b1 to b2: distance = sqrt((b2 - b1)^2) = sqrt((8 - 10)^2) = 2b2 to b3: distance = sqrt((b3 - b2)^2) = sqrt((15 - 8)^2) = 7b3 to a: distance = sqrt((a - b3)^2) = sqrt((15 - 15)^2) = 0b3 to b: distance = sqrt((b - b3)^2) = sqrt((10 - 15)^2) = 5b4 to b: distance = sqrt((b - b4)^2) = sqrt((10 - 9)^2) = 1

Now that we have the distances,

we can add them up to get the total distance:2 + 7 + 0 + 5 + 1 = 15

Therefore, the total distance between all points is 15. This is the shortest distance between all points, so it is the time needed to travel between them.

So, the answer is we should take the shortest way, not the longest way.

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Answer:

Step-by-step explanation:

From the Pythagorean Theorem we know

h^2=a^2+b^2 (where h is the hypotenuse of a right triangle and a and b are its legs)

In this case the single tick marks on the legs indicate they are the same length then

h^2=a^2+b^2 becomes

h^2=2a^2, and a=7 so

h^2=2(7^2)

h=7(2^(1/2))

h=9.9

x=9.9 (to nearest tenth)

Answer:

If you're rounding to the nearest 10th, the answer is 9.9.

Step-by-step explanation:

I solved it using the pythagoras theorem.

Where c = the square root of a^2 (a squared) plus b^2 (b squared).

(x = c in this case).

Since this is an isosceles triangle sides a and b both equal 7.

Hope this helped!

Answer:

\(\large\boxed{x = -4}\)

Step-by-step explanation:

-2x + 4 = 12

Subtract 4 from both sides of the equation

-2x = 8

Divide both sides of the equation by 2

-x = 4

Transfer the minus (multiply both sides by -1)

\(\large\boxed{x = -4}\)

Hope this helps :)

Answer:

x = -4

Step-by-step explanation:

-2x + 4 = 12

-2x = 8

x = -4

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is \(2^{2} \cdot 3 \cdot 5\), which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

Answer:

x=12

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

Step 2: Multiply both sides by 4.

and you get x=12

Answer:

12

Step-by-step explanation:

first move the 7 to the right of your equation, which then becomes 10-7= 3. then divide 3 by 1/4 and x= 12

plug in 12 back into x to make sure it is correct

Answer:

In linear standard form, 10x-15y=29

Step-by-step explanation:

The solution is y = ( -2/3 )x - 1/3

The standard form of the equation y-3=-2/3(x+5) is given by the equation A

where y = ( -2/3 )x - 1/3

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

Now ,

y - 3 = -2 / 3 ( x + 5 )

Multiply by 3 on both sides of the equation , we get

3y - 9 = -2 ( x + 5 )

On simplifying the equation , we get

3y - 9 = -2x - 10

Adding 9 on both sides of the equation , we get

3y = -2x - 1

Divide by 3 on both sides of the equation , we get

y = ( -2/3 )x - 1/3

The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3

Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3

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Answer: Simplification of Fractions.

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer: X=-7

Step-by-step explanation:

The five-number summary first need to sort the data in ascending order. Then we can find the minimum value is the smallest data point and the maximum value is the largest data point.

Generally, the five-number summary is a set of descriptive statistics that summarizes a dataset.

It includes the minimum value the first quartile (Q1) the median (Q2) the third quartile (Q3) and the maximum value.

These statistics divide the dataset into four equal parts with the median being the middle value.

Q1 is the value below which 25% of the data falls and Q3 is the value below which 75% of the data falls.

The median is the middle value of the dataset or the average of the two middle values if the dataset has an even number of values.

Q1 is the median of the lower half of the dataset and Q3 is the median of the upper half of the dataset.

Once you provide the table or data I can help you find the five-number summary that matches the data.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

Answer:

3

Step-by-step explanation:

In order to calculate the t statistic, you first need to calculate the pooled variance under the assumption that the null hypothesis is true.

In order to calculate the t statistic, you first need to calculate the pooled variance under the assumption that the null hypothesis is true. The standard error is a measure of the variability of the sample means around the true population mean. It takes into account the sample size and the variability of the data. Once you have calculated the standard error, you can then use it to calculate the t statistic, which is a measure of how far the sample mean deviates from the null hypothesis mean, relative to the standard error. The pooled variance is used when you are comparing two independent samples, but it is not necessary for calculating the t statistic in a single sample scenario where the null hypothesis is true.

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Answer:

20,100 I think

Step-by-step explanation:

Answer:

20/10

Step-by-step explanation:

goes up 20

goes to the right 10

Answer: Situation:

Step-by-step explanation:

You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!

:)