solve for x, x/25 > 5

To identify a table representing the recursive formula an = a(n-1) + 6, one should look for a pattern where each term is 6 greater than the previous one.

The recursive formula an = a(n-1) + 6 is a mathematical way of defining a sequence that is created by adding 6 to the previous term. To find out which table represents this formula, look for a pattern where each term is 6 greater than the one before it. For example, if the first term is 2, the second term should be 2 + 6 = 8, the third term should be 2nd term + 6 = 8 + 6 = 14, and so on. By following this pattern, you can identify the table that accurately represents the recursive formula.

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Answer:

11,744

Step-by-step explanation:

Answer:

11744

Step-by-step explanation:

Answer:

the slope

Step-by-step explanation:

Answer:

Loaves of zucchini bread = 3

Loaves of banana bread = 3

Completed question;

What is the number of whole loaves of each type of bread Hayley should make in order to havo the best

amount of the 15 cups of flour and 9 eggs left over?

Given that;

Each Banana bread requires 3 cups of flour and 1 egg

And Each zucchini bread requires 2 cups of flour and 2 eggs.

Loaves of zucchini bread:?

Loaves of banana bread:?​

Step-by-step explanation:

Representing the problem in equation form;

3b + 2z ≤ 15 .......1

b + 2z ≤ 9 .......2

Where;

b is the number of banana bread to be made and

z is the number of zucchini bread to be made

To solve, subtract equation 2 from 1;

3b-b + 2z-2z ≤ 15-9

2b ≤ 6

b ≤ 6/2

b ≤ 3

Substituting into equation 2

3 + 2z ≤ 9

2z ≤ 9 - 3

2z ≤ 6

z ≤ 6/2

z ≤ 3

Loaves of zucchini bread = 3

Loaves of banana bread = 3

3 whole loaves of each type of bread should be made

Represent the banana bread with x, and the zucchini bread with y.

Using the complete question as a guide, we have the following equations

3x + 2y = 15

x + 2y = 9

Subtract both equations

2x = 6

Divide both sides by 2

x ≤ 3

Recall that:

x + 2y = 9

So, we have:

3 + 2y = 9

Subtract 3 from both sides

2y = 6

Divide both sides by 2

y = 3

So, we have:

x = y = 3

Hence, 3 whole loaves of each type of bread should be made

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Answer:

x^(2)-14=50

Step-by-step explanation:

The word problem 'The difference between a number squared and 14 is 50' translates to the quadratic equation x^2 - 14 = 50 in mathematical terms.

To form an equation, let's denote the unknown number as x. The phrase 'a number squared' can be written as x2, and 'the difference between a number squared and 14' translates to x2 - 14. According to the problem, this difference equals 50. Therefore, the equation representing this situation is:

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Answer:

a is 0, b is 2

Step-by-step explanation:

Ik its late, but it was pretty ez. Just plug in dem numbers.

a. In the case when r is an odd integer so it should be zero.

b. In the case when r is an even integer so it should be two.

a.. In the case when r is an odd integer

So,

[tex]= (-1)^r + 1[/tex]

= -1 + 1

= 0

b. In the case when r is an even integer

So,

= 1 + 1

= 2

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Answer:

 x = -1/12(y -2)² +5

Step-by-step explanation:

You want the equation of the parabola with focus (2, 2) and directrix x = 8.

The directrix is a vertical line to the right of the focus. This means the parabola opens to the left. The vertex is halfway between the focus and the directrix, so its coordinates are ...

  vertex = ((2 +8)/2, 2) = (5, 2)

The leading coefficient will be negative for a parabola that opens to the left. Its magnitude is 1/(4p), where p is the distance from the focus to the vertex. Here, that distance is 5 -2 = 3, so the leading coefficient is ...

  -1/(4p) = -1/(4·3) = -1/12

In vertex form, the equation of the parabola is ...

  x = a(y -k)² +h . . . . . . . . . . . vertex (h, k); leading coefficient 'a'

  x = -1/12(y -2)² +5

The equation of the parabola is [tex]\( (x-5)^2 = 12y \), with focus (2, 2) and directrix \(x = 8\).[/tex]

The standard equation for a parabola with a vertical axis of symmetry is:

[tex]\[ (x-h)^2 = 4p(y-k) \][/tex]

where (h, k) is the vertex of the parabola and p is the distance between the vertex and the focus (or the vertex and the directrix).

Given that the focus is at (2, 2) and the directrix is at x = 8, we can find the distance between the focus and the vertex, which is p. Since the directrix is a vertical line, the vertex's x-coordinate is the midpoint between the x-coordinate of the focus and the x-coordinate of the directrix:

[tex]\[ h = \frac{{x_f + x_d}}{2} = \frac{{2 + 8}}{2} = 5 \][/tex]

So, the vertex is at (5, k). Since the focus is above the vertex, k > 2.

Now, we find the distance between the focus and the vertex, which is equal to p. The distance formula is:

[tex]\[ p = \sqrt{(x_f - h)^2 + (y_f - k)^2} \]\[ p = \sqrt{(2 - 5)^2 + (2 - k)^2} \]\[ p = \sqrt{9 + (2 - k)^2} \][/tex]

Given that p is the distance from the focus to the vertex, we know that [tex]\(p = 3\).[/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12(y-k) \][/tex]

Now, we need to find the value of k. Since the vertex lies on the parabola, we can substitute the coordinates of the vertex into the equation:

[tex]\[ (5-5)^2 = 12(0-k) \]\[ 0 = -12k \]\[ k = 0 \][/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12y \][/tex]

Answer:

a

Step-by-step explanation:

0.05 written in scientific notation is 5 * 10^-2

The number is given as:

Number = 0.05

Multiply by 1

Number = 0.05 * 1

Express 1 as 100/100

Number = 0.05 * 100/100

Evaluate the product

Number = 5 * 1/100

Express 1/100 as an exponent

Number = 5 * 10^-2

Hence, 0.05 written in scientific notation is 5 * 10^-2

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The correct scientific notation for the decimal 0.05 is 5 x 10^-2, which is the option that correctly shows this number in scientific notation.

The question asks for the correct scientific notation of the decimal 0.05. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10. It's a way of scaling down or up numbers to make them easier to work with, especially when dealing with very large or very small values.

To write 0.05 in scientific notation, we identify a number between 1 and 10 followed by a power of 10 that will put the decimal in the correct place. We see that 0.05 is the same as 5 moved two decimal places to the left. Therefore, in scientific notation, we write this as 5 x 10-2.

The option showing 0.05 written correctly in scientific notation is 5 x 10-2.

Answer:

720 Dollars a Week

Step-by-step explanation:

18x8x5

since he makes 18 dollars an hour you multi that by 8 because 8 hours

then you have to multiply that by 5 because he works 5 days a week mon-fri

Answer:

a)  [tex]y=12000(2)^{\frac{t}{50}}[/tex]

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

[tex]y=Ab^{\frac{t}{n}}[/tex]

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

[tex]y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}[/tex]

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

[tex]y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76[/tex]

The number of bacteria after 1 hour would approximate be 27,569 bacteria

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

[tex]y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103[/tex]

After about 103 minutes, there will be 50,000 bacteria

Answer:

(-3,5)

Step-by-step explanation:

If the slope of y=x is 1, then you have to reflect over that line with a negative slope. It should reflect over to be (-3,5).

Answer:C

Step-by-step explanation:have a nice day!

Answer:

168 units^3

Step-by-step explanation:

The volume of triangular prism is calculated like this : 1/2 × b×h×l (b: base, h: height, l: length)

1/2 × 7 × 6 × 8 = 168 units^3

Answer:

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c. To find the slope of the line you could either use the two points on the line or just look and see.

Step-by-step explanation:

Answer:

Answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

Answer:

well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1

Step-by-step explanation:

Answer:

The data set shows exponential GROWTH

raynas curve IS NOT a good fit for the data set

Step-by-step explanation:

Believe

Final answer:

With a correlation coefficient of r = 0.274, Rayna's exponential model is not a strong fit, and without the sign of the rate parameter, we cannot determine whether it represents growth or decay.

Explanation:

When Rayna found the curve of best fit for a set of data representing an exponential relationship with a correlation coefficient of r = 0.274, two aspects can be deduced. First, whether the relationship reflects growth or decay, and second whether the model fits well or not. The value of r indicates the strength and direction of the linear relationship between two variables.

In the context of exponential relationships, if the parameter representing the rate of change (often denoted by 'b') is positive, it indicates exponential growth; if the parameter is negative, it signifies exponential decay. Since we do not have the explicit sign of the parameter, we cannot directly conclude whether Rayna's data is demonstrating growth or decay.

The value of the correlation coefficient r = 0.274 is relatively low and thus, Rayna's exponential model is not a strong fit for the data. This is because the value of r is far from 1, and a higher correlation coefficient would suggest a stronger linear relationship between variables.

Answer:

8 inches

Step-by-step explanation:

Using Pythagorean theorem you know a^2+b^2=c^2

a^2+b^2=c^2 =

6^2+b^2=10^2=

36+b^2=100

100-36=b^2

64=b^2

64=8^2

The Tv is 8 inches tall

Answer:

9d+5e+6f

Step-by-step explanation:

(4d + 7e – 3f) + (5d – 2e +9f)

4d+5d+7e-2e-3f+9f

9d+5e+6f

Answer:

9d+5e+6f

Step-by-step explanation:

(happy to help)

Answer:

its A

Step-by-step explanation:

i got it right

Answer:A

Step-by-step explanation:

Answer:

the answer is 5 inches

Step-by-step explanation:

so for this problem I used the pythagorean theorem which is a^2 + b^2 = c^2.

Janice will need to spend $2756.00 on fencing.

Set up the equation for the width:

Width = 2x^2 - 99x + 6 (given in the problem)

Substitute the known length (50 feet) into the equation:

50 = 2x^2 - 99x + 6

Solve the quadratic equation for x (length of the wider side):

This equation can be solved using various methods like factoring, quadratic formula, or online calculators. For example, using an online calculator, we find two solutions: x ≈ 1.59 or x ≈ 49.41.

Since the length cannot be a fraction of a foot, choose the larger solution:

x ≈ 49.41 feet

Calculate the total perimeter of the enclosed area:

Perimeter = 2 (length + width) = 2 (50 feet + 49.41 feet) ≈ 198.82 feet

Find the total cost of fencing:

Total cost = Perimeter * Cost per foot = 198.82 feet * $13/foot ≈ $2756.00

Therefore, Janice needs to spend $2756.00 on fencing to enclose the specified portion of her yard.

Answer:

B

Step-by-step explanation:

So if she sews along the edge, that means 144 is the perimeter,

The shape is a rectangle, therefore 2 of the sides are 37,

You should add 37 to 37 and that will give you 74

Subtract 74 from 144 to get 70

but we're not done!

The question asked for the length of the quilt, but we only subtracted the length from the total perimeter!

Now you must divide by 2 and you should get 35 inches

Thank me later :)

9514 1404 393

Answer:

  24°

Step-by-step explanation:

The measure of an inscribed angle is half the measure of the intercepted arc.

  48°/2 = 24°, the measure of ∠ABC

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

[tex] \because t_n=a +(n-1) d \\ \therefore \: t_{88}=26 +(88-1) \times 2 \\ \therefore \: t_{88}=26 +87 \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\ [/tex]

The 88th term of the arithmetic sequence 26, 28, 30,... is 200.

The given sequence is an arithmetic sequence, where each term is obtained by adding 2 to the previous term. The first term of the sequence is 26, and the common difference is 2.

To find the 88th term of the sequence, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Plugging in the given values: an = 26 + (88 - 1)2 = 26 + 87*2 = 26 + 174 = 200.

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Answer: it’s A

Step-by-step explanation:

I took the edge test

Answer:

Hawaii is 80 degrees warmer than Dakota.

Step-by-step explanation:

first you have to make the negative a positive by adding 58 degrees to it making it zero then you add the 12 degrees in Hawaii getting 80 degrees.

Answer:

80 feet below sea level

Step-by-step explanation:

We know that the rate of the diver is 2 ft / min. The time we are given is 40 minutes, so to find out how many feet the diver has descended, we multiply the rate by the time:

(2 ft / min) * (40 min) = 80 ft

Thus, the diver is 80 feet below sea level after 40 minutes.

Hope this helps!

Answer:

- 7/2

Step-by-step explanation:

- sqrt(49/4)

We know that sqrt(a/b) = sqrt(a)/ sqrt(b)

- sqrt(49)/sqrt(4)

- 7/2