A college has a student to teacher ratio of 30 to 2. If there are 186 teachers at the college, how many students attend the college?

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:

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:

Answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did it

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:

 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:

no, both lines increase at different angles

Answer:

No

Step-by-step explanation:

Because both of these functions have a constant, different growth, as one grows the other will grow at a slightly different rate, which will constantly change the ratio between their values. Since a proportional growth is one where the ratio between the values stays constant and this is not the case here, this is not a proportional relationship. Hope this helps!

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:

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.

Answer: it’s A

Step-by-step explanation:

I took the edge test

Answer:

58.50

Step-by-step explanation:

First find out how many were vanilla and chocolate

vanilla: 5/6 * 36 = 30

Chocolate = total - vanilla = 36-30 =6

Cost for vanilla = 1.50*30 =45

Cost for chocolate 2.25*6 =13.5

Add the cost together

45+13.50

58.50

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!

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the  following exponential function: [tex]y = 48000(0.76)^t[/tex] where y represents the car's  value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form [tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function [tex]y = 48000(0.76)^t[/tex] with standard decay function  [tex]y=a\cdot (1-r)^x[/tex], we can see that [tex]1-r=0.76[/tex].

Let us solve for r.

[tex]1-1-r=0.76-1[/tex]

[tex]-r=-0.24[/tex]

[tex]r=0.24[/tex]

Let us convert 0.24 into percentage.

[tex]0.24\times 100\%=24\%[/tex]

Therefore, the decay rate is 24%.

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is [tex]\dfrac{1}{2}\times (734 - 246)[/tex].

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

The required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Important information:

(734-246) is the difference between 734 and 246.

[tex]\dfrac{1}{2}\times (734-246)[/tex] is [tex]\dfrac{1}{2}[/tex] the difference between 734 and 246.

Therefore, the required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

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Answer:

The number of hours it will take before both cars meet is 5 hours

Step-by-step explanation:

Here we have, speed of first car, A = 30 mph

Speed of second car, B = (30 + 20) mph = 50 mph

Therefore, we have

Let the point where both cars meet be X and the time before they meet be Y

Then for car A, 30 × Y = X....................(1)

For car B, 50 × Y = 400 - X..................(2)

From plugging the value of X from equation (1) into equation (2) we have;

50·Y = 400 - 30·Y

80·Y = 400

Y = 5 hours

Therefore the number of hours it will take before both cars meet = 5 hours.

Answer

t = 5 hrs

Step-by-step explanation:

let

speed of the first car = 30 mph

speed of the second car = 20 mph + 30 mph = 50 mph

When the cars meet we know both cars will have traveled a total distance of  400 miles.

Therefore,

let's make a distance equation

speed = distance/time

distance = speed × time

first car + second car = 400 miles

30t + 50t = 400

80t = 400

divide both sides b 80

t = 400/80

t = 5 hrs

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:

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:

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 :)

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:

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:

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:

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!

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:

  a, d, g

Step-by-step explanation:

Translation is one of the "rigid motions," along with reflection and rotation. Figures subject to rigid motions are congruent. No angles or segment lengths are changed. Translation is accomplished by adding the same vertical and horizontal offsets to every point of the original figure, effectively sliding the figure to a new location. Every image line segment is parallel to its corresponding pre-image line segment.

__

The statements shown in bold are true of any translation.

Answer:

1,4,7

Step-by-step explanation:

1.) The sides of the image and pre-image are congruent.

4.) The image is a slide of the pre-image.

7.) Each point has moved the same number of units.

got 100

Answer:

x = 60°

Step-by-step explanation:

[tex] \cos \: (2x + 60) = - 1 \\ \cos \: (2x + 60) = \cos \: 180 \degree \\ 2x + 60 = 180 \degree \\ 2x = 180 \degree - 60 \degree \\ 2x = 120 \\ x = \frac{120}{2} \\ \huge \red{ \boxed{ x = 60 \degree}}[/tex]

Answer:

39.5

Step-by-step explanation:

If the number to the right of the number your rounding to is equal to or greater than 5 round up

Answer:

39.5

Step-by-step explanation:

Step 1:  Round to the nearest tenth

39.473

Since the hundredths place is greater or equal to 5, we round up the tenth's place.

39.473

39.5

Answer:  39.5

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:

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:

- 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

Answer:

a

Step-by-step explanation: