danny tosses a ball into the air. it's height, as a function of time , is modeled by y=-16x2+9x+4
which statement best describes the function ?
((this is for a text so please don’t guess))

Based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

To determine if the evidence supports the claim that the true average echo duration of lightning flashes is 0.8 seconds, we need to check if the value 0.8 falls within the confidence interval.

The 95% two-sided confidence interval for the true average echo duration is (0.743, 0.877). Since the value 0.8 falls within this interval, it means that the true average echo duration of lightning flashes of 0.8 seconds is within the range of values that is supported by the data.

Therefore, based on the given confidence interval, there is evidence to support the claim that the true average echo duration of lightning flashes is 0.8 seconds.

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Answer:

Y-int: (0,3)

X-int: (4,0)

Equation: y = -3/4x + 3

Step-by-step explanation:

The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

Step-by-step explanation:

5x  + y = 11 -------------------(I)

3x - y = 9 -----------------(II)

Add equation (I) & (II)

   5x + y = 11

   3x - y = 9        {add and y will be eliminated and we'll get the value of x}

  8x       = 20

          x = 20/8

         x = 2.5

Plugin x = 2.5 in equation (I)

5*2.5 + y = 11

 12.5  + y = 11

            y = 11 - 12.5

            y = -1.5

After solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign .

We have,

\(5x + y = 11\)   \(.......... (i)\)

\(3x - y = 9\)   \(...........(ii)\)

To solve we will multiply equation \((i)\) by \(3\) and equation \((ii)\) by \(5\),

\(15x + 3y = 33\)   \(..........(iii)\)

\(15x -5y = 45\)   \(..........(iv)\)

Now, adding both equations \((iii)\) and \((iv)\) ,

We get,

\(8y=-12\)

\(y=-\frac{3}{2} =1.5\)

Now putting value of \(y=-\frac{3}{2} =1.5\) in equation \((i)\) ,

\(5x+(\frac{-3}{2} )=11\)

\(x=\frac{5}{2} =2.5\)

So, using the elimination method we find out the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\), which was find out simultaneously.

Hence, we can say that after solving the equations simultaneously we get the value \(x=\frac{5}{2}\) and \(y=\frac{-3}{2}\).

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Answer:

Step-by-step explanation:

8 + (27 : 3) = 8 + ?    (we replace "?" with x)

8 + (27 : 3) = 8 + x    (we solve the parenthesis)

8 + 9 = 8 + x             (we subtract 8 from both sides)

9 = x                         (put 9 in the answer box)

------------------

check

8 + (27 : 3) = 8 + 9

8 + 9 = 8 + 9

17 = 17

THE ANSWER IS GOOD

Answer:

the answer is 9

Step-by-step explanation:

In these question you have to use BODMAS in the LHS (left hand side) so in bodmas the b stands for bracket o for of/opretion and d for division m for multiplication and a for addition and s for subtraction so in the bodmas you can see that D (division) comes before A (addition) on LHS (left side before the = sign), you have divide first so, 27÷3 = 9 and now you have to add so, 8+9 = 17 now in the right side there is an number that has to be added to 8 and equal to the left side and the answer for the left side was 17 so the right side also has to be 17 and you can see in the left side in the final step which is 8+9 =17 and in right side there is already 8 so now the number should be 9 which makes the both side equal

dy/dx = (7-2xy)/(x²+y²). To obtain this, we use implicit differentiation on the equation xy+yx=7.

First, we differentiate both sides of the equation with respect to x, using the product rule for the left-hand side:

d/dx(xy) + d/dx(yx) = d/dx(7)

y dx/dx + x dy/dx + y dx/dx + x dy/dx = 0

2xy dy/dx + x² + y² = 0

Next, we solve for dy/dx:

2xy dy/dx = -x² - y²

dy/dx = (-x² - y²)/(2xy)

dy/dx = -(x²+y²)/(2xy)

Finally, we simplify using the fact that xy = (7-yx)/2, which gives us:

dy/dx = -(x²+y²)/(7-yx)

dy/dx = (7-2xy)/(x²+y²)

Therefore, the derivative of y with respect to x is (7-2xy)/(x²+y²).

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Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2

The value of a and b for the given exponents by the law of indices will be 10 and 6 respectively.

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

An algebraic expression is a quantity made up of symbols and processes + - / and multiplication Expressions utilizing indices are made simpler using the laws of indices.

As per the given expression,

(7² 7⁸)/7⁴ = 7²⁺⁸/7⁴ = 7¹⁰/7⁴ = 7⁶

Hence "The value of a and b for the given exponents by the law of indices will be 10 and 6 respectively".

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Answer:

15x^2 - 48x + 36

Step-by-step explanation:

You have done the first part correctly. Now, we add all the terms inside the box and add them all together.

15x^2 - 18x - 30x +36

Simplify by adding like terms

15x^2 - 48x +36

Answer: 15x2−48x+36 as simplified!!

Step-by-step explanation: maybe

Answer:

-65

Step-by-step explanation:

23-2(17+3^3)

23-2(17+27)

23-2(44)

23-88

=-65

If the angle of elevation from the top of Nanda devi to the satellite is 30°, then the distance between the satellite and top of Nanda devi is 200m.

We use trigonometry ratio to find the distance between Satellite and Nanda Devi.

In particular, we can use the Sine function:

⇒ Sin(θ) = opposite/hypotnuse,

In this case, the opposite side is 100m , and we have to find the hypotnuse(h) which is the required distance,

The angle of elevation(θ) = 30°,

⇒ Sin(30°) = 100/h

Solving for h, we get:

⇒ h = 100/Sin(30°) = 200m.

Therefore, the distance of the satellite from the top of Nanda Devi is 200meters.

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The given question is incomplete, the complete question is

The angle of elevation from the top of Nanda devi to the satellite is 30°, and the perpendicular distance from the satellite is 100m. Find The distance of the satellite from the top of Nanda Devi.

Answer:

-10

Step-by-step explanation:

-a+3x=-6-4=-10

Answer:

83°

Step-by-step explanation:

m<ABC = 180° because that's a straight line

42 + 5x + 7x + 6 = 180°

12x + 48 = 180

12x = 180 - 48

12x = 132 divide by 12

x = 11

CBE = 7x + 6 ➡ 7×11 + 6 = 83°

Answer:

132/7

Step-by-step explanation:

180 = 42 + 7x + 6

180 = 7x + 42 +6

180 = 7x + 48

(180 - 48) = 7x (+ 48 - 48)

132 = 7x

7x = 132

7x / 7 = 132 / 7

x = 132/7

The distance between the third traffic light from the second traffic light is 35 yards.

Three traffic lights on a street span 120 yards.

If the second traffic light is 85 yards away from the first.

Therefore, the third traffic light is 120 - 85 =35 yards away from the second traffic light.

This means that the third traffic light is directly adjacent to the first traffic light. The third traffic light from the second traffic light is at the same location as the first traffic light.

Thus, the distance between the third traffic light from the second traffic light is 35 yards.

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Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

$\sum_{n=1}^\infty a_n$

Given the series:$$\sum_{k=1}^\infty \frac{k+15}{(k-3)(k+1)}$$To determine if the series converges or diverges, we will use the Limit Comparison Test.Limit Comparison TestSuppose we have two series, $a_n$ and $b_n$, such that $a_n > 0$ and $b_n > 0$ for all $n \geq N$ for some $N$. Also, suppose that $\lim_{n\to\infty} \frac{a_n}{b_n} = c > 0$.Then, $\sum_{n=1}^\infty a_n$ converges if and only if $\sum_{n=1}^\infty b_n$ converges. Furthermore, if one of the series converges/diverges, the other one does as well.Let $a_n = \frac{k+15}{(k-3)(k+1)}$ and $b_n = \frac{1}{k^2}$. Then, $a_n > 0$ and $b_n > 0$ for all $n \geq 1$.Let us find $\lim_{n \to \infty} \frac{a_n}{b_n}$:$$\lim_{n\to\infty} \frac{a_n}{b_n} = \lim_{n\to\infty} \frac{k+15}{(k-3)(k+1)} \cdot \frac{k^2}{1} = \lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 - 2k^2 - 3k + 3k^2 + 3k - 1}$$$$\lim_{n\to\infty} \frac{a_n}{b_n} = \lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 + k^2 - 3k - 1}$$We can apply the Limit Comparison Test only when the limit above is a positive constant.Let's compute the limit of the ratio above:$$\lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 + k^2 - 3k - 1} = \lim_{n\to\infty} \frac{k^3 \left(1 + \frac{15}{k}\right)}{k^3 \left(1 + \frac{1}{k}\right) - 3k\left(1 + \frac{1}{k^2}\right) - \frac{1}{k^3}}$$$$= \lim_{n\to\infty} \frac{k^3}{k^3} \cdot \lim_{n\to\infty} \frac{1 + \frac{15}{k}}{1 + \frac{1}{k}} \cdot \lim_{n\to\infty} \frac{1}{1 + \frac{1}{k^3} - 3\frac{1}{k} - \frac{1}{k^3}}$$$$= 1 \cdot 1 \cdot 1 = 1$$Since $\lim_{n\to\infty} \frac{a_n}{b_n}$ is a positive constant, we can conclude that the two series $\sum_{n=1}^\infty a_n$ and $\sum_{n=1}^\infty b_n$ converge or diverge together, i.e., either both converge or both diverge. Since $\sum_{n=1}^\infty b_n$ is a p-series with $p = 2 > 1$, it converges. Hence, $\sum_{n=1}^\infty a_n$ also converges.The given series converges.

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Answer:

prosss the 5 with the diameter of it the ans will come

Step-by-step explanation:

use the formula of slope:

(y2-y1)/(x2-x1)

Answer:

64 chickens

Step-by-step explanation:

Let the total percentage of animals be represented as = 100%

100% = 20% + 30% + 10% + % Chicken

% Chicken = 100% - ( 20% + 30% + 10% )

% Chicken = 100% - 60%

% Chicken = 40%

The number of animals on the farm = 160

The number of chickens on the farm = 40% × 160

= 40/100 × 160

= 64 chickens

To prove that the group g is cyclic, we analyze the possible values of the order |g|. We consider the cases for each possible value and demonstrate that in all cases, g is either cyclic or leads to a contradiction.

For |g| = 1, 2, 3, 5, or 7, the groups of these orders are always cyclic.

If |g| = 4, 6, 8, 9, 10, 12, or 15, we show that g cannot have the required subgroups. Assuming g is not cyclic, we find an element x of order 2 and additional elements y, z, w, etc., also of order 2. This contradicts the given conditions since g would be isomorphic to Z₂ × Z₂ or have more than one subgroup of order 3 or 5.

For composite orders |g| = pq, where p and q are prime, we generalize the analysis. By Cauchy's theorem, g has elements of order p and q, and since there is only one subgroup of each order, they are cyclic. We show that the intersection of these subgroups cannot have an order of pq, leading to a contradiction. Hence, g is cyclic.

Therefore, in all cases, g is proved to be cyclic. QED.

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The measure of the angle a of the similar triangles is; a = 57.53°

The concept of similar triangles states that If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

From the concept of similar triangles ratio, we can deduce from

DE/BC = AE/CE

Plugging in the relevant values gives;

15/4 = (7 + AC)/AC

Cross multiply to get;

15AC = 28 + 4AC

11AC = 28

AC = 28/11

Now, using trigonometric ratios;

DE/AE = tan a

Thus;

15/((28/11) + 7) = tan a

tan a = 1.5714

a = tan⁻¹1.5714

a = 57.53°

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Answer: x = 30

Step-by-step explanation:

Explanation

Given that Omar paid an $8 fee to start the scooter plus 6 cents per minute of the ride. We can express this as

Let the number of minutes be x. Therefore, we will have

as the payment for riding the bicycle over x minutes.

Therefore, since the total bill for Omar’s ride was $19.34, we will have;

Hence;

Answer: 189 minutes

Using the normal distribution, it is found that 1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, the parameters are given by:

\(\mu = 1250, \sigma = 125, n = 12, s = \frac{125}{\sqrt{12}} = 36.08\)

The desired amount is the 33rd percentile, which is X when Z = -0.44, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

-0.44 = (X - 1250)/36.08

X - 1250 = -0.44 x 36.08

X = 1234.

1234 pairs of jeans produced separates the lowest 33% of the means of jean production from the highest 67% in a sampling distribution of 12 factories.

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The mode of the data set (10, 15, 14, 16, 17, 20, 18, 21, 17, 11) is 17.

To find mode of the given data set, arrange the data in ascending order.

Ascending order of the given data set will be 10, 14, 11, 15, 16, 17, 17, 18, 20, 21.

∵ 17 is the number that is repeated more often than other numbers.

∴ The mode will be 17.

Therefore, the mode of the data set 10, 15, 14, 16, 17, 20, 18, 21, 17, 11 is 17.

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Answer:

10

13

15

17

22

Step-by-step explanation:

the first 5 terms will be 1,2,3,4 and 5.

I guess...

Answer:

a1 = 10

a2 = 13

a3 = 16

a4 = 19

a5 = 22

Step-by-step explanation:

Substitute in the value of  n  to find the  n

th term.

a1 = 3 (1) + 7

3 + 7 = 10

a2 = 3 (2) + 7

6 + 7 = 13

a3 = 3 (3) + 7

9 + 7 = 16

a4 = 3 (4) + 7

12 + 7 = 19

a5 = 3 (5) + 7

15 + 7 = 22

good luck, hope this helps :)

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = \(\frac{opposite}{hypotenuse}\) = \(\frac{5}{8}\) , then

x = \(sin^{-1}\) (\(\frac{5}{8}\) ) ≈ 38.7° ( to 1 dec. place )

Answer:

5 km.

Step-by-step explanation:

Surface area is lw + hw + lh.

(1 x 1)+(1 x 2)+(1 x 2)

1 + 2 + 2

1 + 4

5 km.