Choose the equation that represents the solutions of 0 = 0.25x2 - 8x
0.25+ 0.25)2 – (4)(1)(-8)
2(1)
-0.25 +
0.25)2 – (4)(1)-8)
2(1)
(-8)2 – (4)(0.250
200.25)
(-8)2 – (4)(0.25)0
2(0.25)

Answer:

B. 4

Step-by-step explanation:

The formula for this equation is (x-h)²+(y-k)²=r²

So 16 is represented by r² in that equation

All you have to do is find the square root of 16, which is 4, so the answer is B. 4

The radius of the circle represented by the equation (x + 7)² + (y + 7)² = 16 is 4 units.

In mathematics, specifically in coordinate geometry, the standard form to represent a circle's equation is (x-h)² +(y-k)² = r², where (h,k) are the coordinates of the circle's center and r is the radius. Looking at the provided equation, (x + 7)² + (y + 7)² = 16, you can recognize this as following the same format. Here, h = -7, k = -7, and r² = 16. Therefore, the radius of the circle is the square root of 16, which equals 4. Therefore, the length of the radius of circle O is 4.

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Answer:

Step-by-step explanation:

To answer this question, we can begin by creating factors from this equation:

(2cosθ-1)(cosθ-1)= 0.

Now, we just need to set the factors equivalent to 0 and solve:

2cosθ= 1.

cosθ= 1/2

θ= [tex]\frac{\pi }{3}[/tex], [tex]\frac{5\pi }{3}[/tex]

cosθ= 1

θ= 0, 2[tex]\pi[/tex].

Answer: Theta (θ) = 2πn, π/3 + 2πn, 5π/3 + 2πn

Step-by-step explanation:

2cos²(θ) - 3cos(θ) = -1

Let cos(θ) = u

2u² - 3u + 1 = 0

u = 1, u = 1/2

Substitute u with cos(θ) and you have your answer.

I used Symbolab's variable solving calculator for this since I'm lazy :\

Answer:

  B. f(x) = 2x-3

Step-by-step explanation:

The first point in the table tells you there will be an added constant of -3. All answer choices agree on this.

The x-values are evenly spaced, so we can examine the f(x) values to see what sort of function it is. It usually works well to consider the differences of adjacent values. Here, we see they are ...

  -1 -(-3) = 2

  1 -(-1) = 2

  3 -1 = 2

  5 -3 = 2

  7 -5 = 2

All of the differences are the same value, 2, so this is a linear function. There is only one answer choice that is a linear function:

  f(x) = 2x -3

Final answer:

The correct function that represents the data in the table is B. f(x)= 2x-3. This linear function consistently provides the correct f(x) values for each x when compared to the data given.

Explanation:

In order to choose the function that represents the data given in the table, we will analyze each option provided against the data.

For x=0, the value of f(x) should be -3.

For each increase of 1 in x, the value of f(x) increases by 2.

Now let's evaluate the given options:

Option A: f(x)= 2/x-3 does not satisfy the values for any x in the table.

Option B: f(x)= 2x-3 consistently satisfies the value of f(x) for each x in the table. For example, if x=2, f(x) = 2*2 - 3 = 1, which matches the table data.

Option C: f(x)= x^2-3 gives incorrect values for all x other than 0 and 1.

Option D: f(x)= 2x^2-3 also provides incorrect values since it increases much more rapidly than the data in the table.

Therefore, the correct answer is Option B, f(x)= 2x-3.

Answer:

x = 20

Step-by-step explanation:

they are both obtuse angles which means they arent supplementary they equal themselves. so you have 7x-30=6x-10 and then you just do the algebra

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Answer:

0.8 would be the approximate height

Step-by-step explanation:

you can make an equation and solve for the height (x)

375 = 3.14(12.5^2)x

when you solve this equation, you specifically get 0.76. but your question is asking for the approximate, so you would round it up to 0.8. hope this helps!

Answer:

D. 0.8

Step-by-step explanation:

The formula for finding the volume of cylinders is:

V= (pi)(r^2)(h)

r is the radius and h is the height. V is the volume.

plug in the values.

375 = (3.14)(12.5^2)(h)

375 = (3.14)(156.25)(h)

375 = 490.625 x h

Divide both sides of the equation by 490.625

0.7643... = h

round the decimal to the tenths place and get 0.8

Answer:

d

Step-by-step explanation

just answered the question

Answer: D

Step-by-step explanation:

The questions regarding swimmers position is required.

The initial height of the swimmer is 14 foot.

The max height of the dive is 23 foot.

The x intercept is [tex](8,0)[/tex]. This means she is at ground level.

It is mentioned that the springboard is 14 foot high.

So, initial height of the swimmer is 14 foot.

The maximum height of the dive will be point of curve which is the highest in the [tex]y[/tex] axis.

That point is 23 foot.

The x intercept is the point where the parabola touches the [tex]x[/tex] axis.

Here that point is [tex](8,0)[/tex]

This means that the diver is at ground level but she traveled a horizontal distance of 8 feet.

Learn more about parabolas:

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Answer:

Step-by-step explanation:

To plot points on a graph, assign x-values to the x-coordinate and calculate the corresponding y-values using the equation y = x² + 2. Connect the points to graphically represent the dependence of y on x.

The given table contains the following points: (1,5), (2,10), (3,7), and (4,14). These points represent the values of x and y in the equation y = x² + 2. To plot these points on a graph, you can assign x-values to the x-coordinate and calculate the corresponding y-values using the equation. For example, when x=1, y = 1² + 2 = 3, so the point (1,3) can be plotted on the graph. By connecting all the points, you can graphically represent the dependence of y on x.

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Answer:

7, 7, 11

Step-by-step explanation:

If 7 is the mode then it would have to be listed twice.

To get the range you subtract the smallest number from the greatest.

In this case, 11 would be your last number because 11-7=4.

Hope this helps!

-MoCKEry.

The numbers from smallest to largest given the conditions stated are 3, 7, 7. This is determined based on the mode, range, and the fact that the highest number is not 7.

The subject is Mathematics, specifically on the topic of statistics related to the mode and range of a set of numbers. In this case, the mode (the number that appears most often) is given as 7, the range (the difference between the highest and the lowest number) is 4, and it is stated that the highest number is not 7. Given this information, we can work out that one of the other numbers must be 7 (for the mode to be 7, there must be at least two 7s), and the third number must be 3 away from this number to provide a range of 4. The only way this can happen without the highest number being 7 is for the numbers to be 3, 7, 7.

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Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

+1. 35min

2: 65pm

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

3: 05pm

+0: 45min

3: 50pm

Hence the time Keisha left the park was 3:50pm

Keisha entered the park at 1:30 pm, hiked for 1 hour 35 minutes, and spent 45 minutes at the picnic area, which means she left the park at 3:50 pm.

The subject of this question is Mathematics, specifically addressing the concept of adding and subtracting measures of time. Keisha entered the park at 1:30 pm and spent 1 hour and 35 minutes hiking. To calculate the time after hiking, you add 1 hour and 35 minutes to 1:30 pm, which brings the time to 3:05 pm. She then spends 45 minutes at the picnic area, so you add 45 minutes to 3:05 pm. Hence, Keisha leaves the park at 3:50 pm.

Answer:

sqrt5/5

Step-by-step explanation:

Answer:

B=4

Step-by-step explanation:

Answer:

b=-1

Step-by-step explanation:

To find the value of b, we need to isolate it.

This means moving all the numerical values to one side, and the variables to the toher.

First, we can add 6 to both sides

-3=1-4b

Subtract 1 from both sides

-4=-4b

Divide both sides by -4

-1=b

b=-1

The gradient of the line segment between points (2,3) and (4,7) is calculated using the formula m = (y2 - y1) / (x2 - x1), yielding a gradient of 2.

In mathematics, the gradient of a line segment between two points is the slope of that line. The slope or gradient can be calculated using the following formula: m = (y2 - y1) / (x2 - x1), where (x1,y1) and (x2,y2) are the coordinates of the two points.

In this scenario, the coordinates of the points are (2,3) and (4,7). Using the formula, we substitute the coordinates into the formula to get m = (7 - 3) / (4 - 2) = 4/2 = 2. Therefore, the gradient of the line segment between the points (2,3) and (4,7) is 2.

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Answer: 3/18 simplified is 1/6

Step-by-step explanation:

5 monkeys +4 giraffes +6 elephants+3 tigers= 18 animal crackers in all.

You would put how many animal crackers there are over the total number of animal crackers, which is 3/18 and then you would simplify it. 3/18=1/6

Answer:

Step-by-step explanation:

a² - b² = (a+ b)(a - b)

1) (2n-4/2n) ÷ (n^2-4/n)

[tex]=\frac{2n-4}{2n}*\frac{n}{n^{2}-4}\\\\=\frac{2n-2*2}{2n}*\frac{n}{n^{2}-2^{2}}\\\\=\frac{2*(n-2)}{2n}*\frac{n}{(n+2)*(n-2)}\\\\=\frac{1}{n+2}[/tex]

2) [y^2-36/y^2-49] ÷[ y+6/y-7]

[tex]=\frac{y^{2}-36}{y^{2}-49}*\frac{y-7}{y+6}\\\\=\frac{y^{2}-6^{2}}{y^{2}-7^{2}}*\frac{y-7}{y+6}\\\\=\frac{(y+6)*(y-6)}{(y+7)*(y-7)}*\frac{y-7}{y+6}\\\\=\frac{y-6}{y+7}\\[/tex]

3) [m^2-1/ m^2-m] ÷ [m^2-7m-8/3m ]

[tex]=\frac{m^{2}-1}{m^{2}-m}*\frac{3m}{m^{2}-7m-8}\\\\=\frac{(m+1)*(m-1)}{m*(m-1)}*\frac{3m}{(m-8)*(m+1)}\\\\=\frac{3}{m-8}[/tex]

Hint :  m² - 7m - 8

sum = -7

Product  = -8

Factor = (-8), 1

m² - 7m - 8  =m² - 8m + m - 8

                   = m*(m - 8) + (m-8)

                   = (m - 8)(m +1)

Answer:

I think the answer is 42.

Step-by-step explanation:

I estimated 23.1 to 23 miles then I estimated 19.24 to 24 and added 23+19=42. But I don't know if that is correct because there was no specification if we round to the whole number.

The actual distance is 42.34 miles. The total distance Pablo drove, is sum of distance of aunt's house an friend's house.

Pablo drove 23.1 miles to his aunt's house and then 19.24 miles to his friend's house.

To estimate the total distance driven, he can round the numbers to the nearest mile or to the nearest tenth to make the calculation easier. If rounding to the nearest mile, he can estimate 23 + 19 miles, which is 42 miles.

If rounding to the nearest tenth, he can estimate

23.1 + 19.2= 42.3 miles.

The actual total distance driven is 23.1 + 19.24 = 42.34 miles.

Question:

Options:

a. Josef confused the range and the interquartile range.

b. Josef confused the range and the median.

c. Josef should have compared the medians and minimum values.

d. Josef should have compared the medians and maximum values.

Answer:

The correct option is;

a. Josef confused the range and the interquartile range

Step-by-step explanation:

Here, we have

For cars

The range given as Minimum = 14 and Maximum = 34

The range of the whiskers is 21 to 33

The box range is 22 to 29

The dividing line of the box is at 24 is the median

For minivans

The range given as Minimum = 14 and Maximum = 26

The range of the whiskers is 14 to 26

The box range is 18 to 21

The dividing line of the box is at 19 is the median

Therefore, the range of the box plot for cars is the difference of the values at the ends of the whiskers, that is 33 - 21 = 8

The range for minivan = 26 - 12 = 14

Therefore, Josef's error is that, Josef confused the range and the interquartile range.

Answer:a

Step-by-step explanation:

Answer:

if x=4 then y=18

Step-by-step explanation:

hope this helps

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Answer:

Step-by-step explanation:

first, do 4x3. that should equal 12. then, do 12 + 6, or 6 times 3, which equals 18. so, the answer is 18

Answer:

It shows exponential decay and not growth

Step-by-step explanation:

In this question, we are asked to examine the mathematical relation and determine if it shows growth or decay

The mathematical relation in the question shows decay.

Why?

This is because looking at the mathematical equation that represents the model of the equation, we can see that the multiplying term present alongside the original term is a number that is less than 1. As this number is less than 1, subsequent multiplications will surely be less than 1 also. This means each subsequent term will have a value which is less than the preceding term. This makes a case for why the model is for decay and not for growth.

Had it been that the term we have in the bracket is a number which is greater than 1, even let’s say 1.0001, this will ensure that subsequent terms will be higher than preceding term and as such we can explicitly state that what we have is growth and not decay. But unfortunately, this is not the case here

The base, 0.45, is less than 1, so this is a decay function

Answer:

-23

Step-by-step explanation:

Answer:

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

Step-by-step explanation:

Just multiply by 5 for each one

3 x 5 is 15 so it would be 3:15

5 x 5 is 25 so it would be 5:25

Answer:

d 68

Step-by-step explanation:

do not know hope it maybe might help you sorry wish i could help

Answer: probably D but i dont know could be A, B, or C

Step-by-step explanation:

Answer:

Step-by-step explanation:

24√3

The area of the regular hexagon with radius length 4 m will be 24√3 square meters.

The polygon which is having six sides and each side are congruent. And each internal angle of the hexagon will be of 120 degrees.

The area of the regular hexagon is six times area of the equilateral triangle.

Area of regular hexagon = 6 x Area of the equilateral triangle.

The regular hexagon with radius length 4 m.

The area of the equilateral triangle will be

Area = (√3 / 4) x (side)²

Area = (√3 / 4) x 4²

Area = 4√3 square meters

Then the area of the regular hexagon with radius length 4 m will be

Area of regular hexagon = 6 x 4√3

Area of regular hexagon = 24√3 square meters

The area of the regular hexagon with radius length 4 m will be 24√3 square meters.

The diagram is attached below.

More about the regular hexagon link is given below.

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Answer: Yes, Sally is correct.

Step-by-step explanation: Both of Sally's statements are mathematically correct, because to begin with the total of the sum of angles in a triangle is always equal to 180 degrees. An acute angle is less than 90 degrees and that means we can calculate three acute angles from a triangle.

Also an obtuse angle is greater than 90 degrees, but less than 180 degrees. That means, a triangle cannot have more than one obtuse angle. If for instance a triangle has an angle measuring 91 degrees (obtuse angle), then the other two angles will be divided between the remainder which is 89 degrees.

Also a triangle can only have one right angle (which measures 90 degrees). This implies that, in a right angled triangle, there cannot be another 90 degree angle, because that would reduce the shape to two angles only (which is not possible).

A triangle can contain at least two acute angles (and at most three acute angles) and all three angles in either case must add up to 180 degrees.

Please refer to the picture attached for more information.

Answer:

Yes Sally is correct

Step-by-step explanation:

We note that an obtuse angle = Angle larger than 90°

Acute angle = Angle lesser than 90°

Sum of angles in a triangle = 180°

Number of angles in  triangle = 3

Therefore, assuming the angles in the triangle are A, B and C where C is obtuse or at least 90°, then we have;

C ≥ 90° therefore taken as obtuse

A + B + C = 180°

A + B  = 180° - C

∴ A + B  = 180°- (≥90°) = ≤90°

Hence A + B   ≤ 90°

Which means A and B are less than 90°, therefore both acute

Therefore, a triangle can have only one angle (C in the above example) greater than or equal to 90° and at least two acute angles A and B in the above example.

Answer:

Area of Shaded Region: ( About ) 19.6

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the circle, and the area of the hexagon, subtracting it's area from the area of the circle ~

1. Given a radius of 6 cm, let us calculate the area of the circle provided the area formula πr^2. Substitute the value of the radius, but keep π in terms of π until the end ⇒ π * ( 6 )^2 = 36π ⇒ ( About ) 113.1 units^2

2. To find the area of the hexagon, let us divide the hexagon into 6 triangles. All 3 of the sides of each triangle is 6 cm, provided these are equilateral triangles. We should calculate the area of each triangle, so let us draw an altitude for each of these Δs. Doing so, through Coincidence Theorem we split the segment drawn to the altitude into two ≅ parts, or 3 units each. That means that the altitude must be 3√3, by properties of 60-60-60 triangles. That being said, the area of one of the triangles: 1/2 * base * height ⇒ 1/2 * 6 * 3√3 ⇒ 9√3 units^2.

3. Knowing that all the 6 triangles are ≅, let us simply multiply the area of a of the triangles * 6 to recieve the area of the hexagon ⇒ 9√3 * 6       ⇒ 54√3 units^2

4. The area of the shaded region is now ⇒ 113.1 - 54√3 ⇒

Area of Shaded Region: ( About ) 19.6

By subtracting the area of the hexagon, from the area of the circle. The area of the shaded region is 19.6.

The area of the circle is defined as the product of the pie and the square of the radius.

The area of the circle = [tex]\pi r^{2}[/tex]

Given a radius of 6 cm,

The area of the circle = [tex]\pi r^{2}[/tex]

Substitute the value of the radius,

[tex]\pi ( 6 )^2 \\= 36 \times 3.14\\= 113.1 units^2[/tex]

The area of the circle is 113.1 units^2.

To find the area of the hexagon, let us divide the hexagon into 6 triangles. All 3 of the sides of each triangle are 6 cm, provided these are equilateral triangles.

The area of one of the triangles

 [tex]=1/2 \times base \times height\\ \\= 1/2 \times 6 \times3\sqrt3 \\\\ =9\sqrt{3} units^2.[/tex]

The area of the triangles 6 times to receive the area of the hexagon

[tex]9\sqrt{3} \times 6 \\ \\54\sqrt{3} units^2[/tex]

The area of the shaded region = 113.1 - 54√3

                                                       =  19.6

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Answer:AC=AD•AB over AE

Step-by-step explanation: