odd even or neither​

Given information: Mass of dolphin, m = 1800 N; Height of jump, h = 2.10 m.

The gravitational potential energy of the dolphin can be calculated as follows: Gravitational potential energy = mgh where, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.

Given that the dolphin jumps from the water, its initial potential energy is zero. Hence, the total energy of the dolphin is equal to the potential energy at the highest point. At this point, the kinetic energy of the dolphin is also zero. Therefore, the energy conservation equation can be written as follows: mg h = (1/2)mv²where, v is the velocity of the dolphin just before it jumps out of the water.  

Solving for v, we get v = sqrt(2gh)where sqrt denotes the square root, g is the acceleration due to gravity, and h is the height of the jump. Substituting the given values, we get v = sqrt(2 x 9.8 x 2.10)v = 6.22 m/s Therefore, the dolphin must be moving at a speed of 6.22 m/s as it leaves the water in order to jump to a height of 2.10 m.

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Answer:

3,11,19,27

Step-by-step explanation:

Answer:

the number is ---8---

-

(2x + 9) (6x + 6)

- Apply the distributive property by multiplying each term of 2x + 9 by each term of 6x + 6.

\(12x^{2}\) + 12x + 54x + 54

- Combine 12x and 54x to get 66x.

ANSWER :

\(12x^{2}\) + 66x + 54

Answer:

See below.

Step-by-step explanation:

(2x+9)(6x+6)

2x(6x) + 2x(6) = 12x² + 12x

9(6x) + 9(6) = 54x + 54

Combine like terms.

12x²+66x+54

-hope it helps

Answer: 63

Step-by-step explanation:

180-117=63

Answer:

63

Step-by-step explanation:

Pretty simple really.

A straight line is 180...

180-117=63

Answer 63

TADAAA!!!

The p-value is approximately 0.27, which is greater than 0.05. Therefore, we fail to reject the null hypothesis. We do not have sufficient evidence to conclude that the percentage today differs from 73% at a 5% level of significance.

To determine whether it can be concluded that the percentage today differs from 73%, we need to perform a hypothesis test.

Let p be the true proportion of Americans who prefer to purchase an American automobile today. The null hypothesis is that p = 0.73, and the alternative hypothesis is that p is not equal to 0.73.

We can use a normal approximation to the binomial distribution because the sample size is sufficiently large (n = 47) and the success-failure condition is satisfied (at least 10 successes and failures). The test statistic is calculated as:

z = (P - p) / √(p(1-p) / n)

where P is the sample proportion, p is the hypothesized population proportion, and n is the sample size.

Plugging in the values from the problem, we have:

P = 36/47 ≈ 0.766

p = 0.73

n = 47

The calculated value of the test statistic is:

z = (0.766 - 0.73) / √(0.73(1-0.73) / 47) ≈ 1.11

Using a standard normal distribution table or a calculator, we can find the p-value associated with this test statistic. For a two-tailed test with a significance level of 0.05, the critical values are ±1.96. The rejection region is outside of this range.

The p-value is the probability of getting a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. Since the alternative hypothesis is two-sided, we need to double the area in the tail of the normal distribution that corresponds to the observed test statistic.

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The value of the smaller number is 5

From the question, we are to determine the value of the smaller number

Let one of the numbers be x and the other number be y

From the given information,

The difference of two numbers is 1

That is,

x - y = 1

and

Their sum is 11

That is,  

x + y = 11

Now, we will solve the equations simultaneously

From the first equation

x - y = 1

x = 1 + y     ------------- (3)

Substitute into the second equation

x + y = 11

1 + y + y = 11

1 + 2y = 11

2y = 11 - 1

2y = 10

y = 10/2

y = 5

Substitute the value of y into equation (3)

x = 1 + y

x = 1 + 5

x = 6

Hence, the number is 5

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Answer:

any nuber less then 3.5  and 5th awnser

Step-by-step explanation:

x is less then 3.5 so any    number less then 3.5

5th one is true too because you can go into negitves  and tehre is are infanite negitives

Answer:

The following statements and graphs are true:

x < 3.5

Any number that is less than 3.5 is a solution.

There are an infinite number of solutions.

The statement "x ≤ 3.5" is not true because the original inequality states that x is strictly less than 3.5, not less than or equal to 3.5. The statement "Any number that is greater than 3.5 is a solution" is also not true for the same reason. Finally, 3.5 is not a solution to the inequality because the inequality is strict: it only includes values of x that are strictly less than 3.5.

________________________________________________________

The difference between strict and non-strict inequalities is that strict inequalities use "<" or ">" symbols, which exclude the boundary values, while non-strict inequalities use "≤" or "≥" symbols, which include the boundary values.

For example, the inequality x < 5 is a strict inequality, which means that x can be any number less than 5, but it cannot be 5 itself. On the other hand, the inequality x ≤ 5 is a non-strict inequality, which means that x can be any number less than or equal to 5.

Similarly, the inequality y > -3 is a strict inequality, which means that y can be any number greater than -3, but it cannot be -3 itself. The inequality y ≥ -3 is a non-strict inequality, which means that y can be any number greater than or equal to -3.

Inequalities are used in a variety of real-life applications, including:

Business and economics: Inequalities are used to represent constraints in optimization problems, such as maximizing profits subject to resource limitations.

Engineering and physics: Inequalities are used to represent physical constraints, such as maximum and minimum values for quantities like speed, acceleration, and force.

Health and social sciences: Inequalities are used to represent inequalities in health outcomes and access to healthcare, as well as social inequalities related to income, education, and other factors.

Computer science and optimization: Inequalities are used to represent constraints in optimization problems, such as scheduling, routing, and allocation of resources.

Probability and statistics: Inequalities are used to bound the probability of events and to represent relationships between random variables.

Inequalities are also used in various fields of mathematics, including algebra, geometry, and analysis. They are important tools for proving theorems and solving problems in these areas.

Refer to the attachment! v

Answer:

$45.50

Step-by-step explanation:

total cost = jersey cost + short cost = 512.50 + jersey cost = 1650

512.50 + jersey cost = 1650

subtract 512.50 from both sides to isolate jerset cost

jersey cost = 1137.5

25 jerseys = total jersey cost = 1137.5

divide both sides by 25 to find individual jersey cost

individual jersey cost = total jersey cost/25 = 1137.5/25 = $45.50

A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

b)  The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.

(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.

f(x)=8x³-42x-48x + 4

f'(x) = 24x² - 90

Setting f'(x) = 0, we get

24x² - 90 = 0

24x² = 90

x =±  √3.75

So, the critical points are;

x = -1 and x = 7/2.

We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).

f'(-2) = 72 > 0, so f is increasing on (-∞, -1).

f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).

f'(4) = 72 > 0, so f is increasing on (7/2, ∞).

Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).

(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).

f(-1) = -49

f(7/2) = 139/8

f(-42/13) = 5608/2197

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Answer:

Step-by-step explanation:

As per Provided Information

AB & AC are tangent to the circle O.

we have been asked to determine the length of AC ( tangent) .

This question is quite easy if you know the following Theorem which states that

Tangent drawn from an external point to the circle are equal in length

Therefore

Therefore,

Option (D) 23 cm

Answer:

D) 23 cm

Step-by-step explanation:

it passes the quiz

Answer:

USE SOCRACTIC IT WOULD REALLY HELP

The domain of this function is {1, 2, 3, 4}

"All the values" that are input into a function are referred to as the domain of a function. The collection of all potential inputs for a function is its domain.

The domain is the set of all the input values of a function

Given:

As, we know that Domain is the input value which is resented by the first Column.

Here in the table the domain is represented by number of oranges.

Then, the Domain is

{1, 2, 3, 4}

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The values of "a" and "b" that satisfy the equation are: a = -4 and b = 5

To find the values of "a" and "b" in the equation:

−3(2x² + ax + b) = −6x² + 12x − 15

Start by expanding and simplifying the left side of the equation:

−6x² - 3ax - 3b = −6x² + 12x − 15

Now, group the like terms:

(-6x²) + (-3ax) + (-3b) = (-6x²) + (12x) - 15

Comparing the coefficients of each degree term, we have:

-6x² = -6x² (coefficients of x² on both sides are the same)

-3ax = 12x (coefficients of x on both sides are the same)

-3b = -15 (constants on both sides are the same)

From the first equation, we can see that the coefficient of x² on both sides is -6. This means that the equation is satisfied for any value of "a" as long as the other equations are also satisfied.

From the second equation, equate the coefficients of x:

-3ax = 12x

This implies that -3a = 12, so we can solve for "a":

-3a = 12

a = -12/3

a = -4

Finally, from the third equation, solve for "b":

-3b = -15

Dividing both sides by -3:

b = (-15)/(-3)

b = 5

Therefore, the values of "a" and "b" that satisfy the equation are:

a = -4

b = 5

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Answer: Geometric sequence

Step-by-step explanation:

The common ratio will be:

= 2nd term / 1st term

= 2/4

= 1/2

Also, Using thw 3rd and 2nd term gives:

= 1/2

Common difference will be:

= 2nd term - 1st term

= 2 - 4

= -2

Using thw 3rd and 2nd term gives:

= 1 - 2

= -1

From the above, we can see that it's a geometric progression as the common ratio is thesame.

Answer:

B is the correct answer

Answer:

x<-9 oops so that would be A :)

Step-by-step explanation:

You're welcome. :)

Answer:

x = 20

Step-by-step explanation:

The scale factor is 2.5. The arrow on the right is 2.5 times bigger than the arrow on the left. So, you would multiply 8 by 2.5 to find x.

8 x 2.5 = 20

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Answer:

parallel

B.

coincident

C.

intersecting

Answer:

I think it's parallel, because they have the same gradient. parallel lines always have the same gradient

Answer:

A

D is 13 km

Step-by-step explanation:

30min:60h=0.5h *14km/h=7km

7-4=3km(AB)

4km(BC)

2*3=6km(CD)

3+4+6=13km

Answer:

13km.

Step-by-step explanation:

A

D is 13 km

30min:60h=0.5h *14km/h=7km

7-4=3km(AB)

4km(BC)

2*3=6km(CD)

3+4+6=13km

Hope this helps you!!

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Answer:

c is the correct answer I think

The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

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△PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

So, to prove that △PQR ≅ △STU:

So, with these three conditions, △PQR ≅ △STU is under ASA condition.

Therefore, △PQR is congruent to △STU (△PQR ≅ △STU) under ASA condition using options (B) and (D).

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Answer:

98

Step-by-step explanation:

3 bed house= 33 rooms

4 bed house 40 rooms

4 bed house 25 rooms

each house is worth 2 houses. so u double everything

hope I got it right

A lamp manufacturer designed five lamp bases and four lampshades that could be used together. 20 different arrangements of base and shade can be offered.

The question asks how many different arrangements of base and shade can be offered. The answer is that there are 5 x 4 = 20 different arrangements of lamp base and shade.

There are a total of 5 lamp bases and 4 lampshades that could be used together. To find the number of different arrangements of base and shade that can be offered, we need to multiply the number of lamp bases by the number of lampshades.

5 lamp bases × 4 lampshades = 20 different arrangements

So, the lamp manufacturer can offer 20 different arrangements of base and shade.

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So, y = ab^x and y = ac^x are the exponential functions to represent the spread of Ben's and Carter's social media posts respectively.

An exponential function has the form y = ab^x, where a and b are constants and x is the independent variable (in this case, time).

For Ben's social media posts:

y = ab^x

For Carter's social media post:

y = ac^x

Please note that the value of a, b, and c will be different for Ben and Carter's post, as it will depend on the number of shares, likes, views, etc., and the rate of spread of the post.

This is an exponential function that represents the spread of Ben's social media posts and  Carter's social media post.

Complete Question:

1. Write an exponential function to represent the spread of Ben's social media post 2. Write an exponential function to represent the spread of Carter's social media post. 3. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology. 4. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is   . How does this graph compare with the original graph of Amber's photo share? 6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? 7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions

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Answer:

t=0.64

Step-by-step explanation:

h = -16t^2 +4t +4

We want h =0 since it is hitting the ground

0 = -16t^2 +4t +4

Using the quadratic formula

a = -16  b = 4  c=4

-b ± sqrt( b^2 -4ac)

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

         2a

-4 ± sqrt( 4^2 -4(-16)4)

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

         2(-16)

-4 ± sqrt( 16+ 256)

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

         -32

-4 ± sqrt( 272)

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

         -32

-4 ± sqrt( 16*17)

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

         -32

-4 ± sqrt( 16) sqrt(17)

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

         -32

-4 ± 4 sqrt(17)

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

         -32

Divide by -4

1 ±  sqrt(17)

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

         8

To the nearest hundredth

t=-0.39

t=0.64

Since time cannot be negative

t=0.64

Answer:

0.64  

Step-by-step explanation:

0 = -16t^2 + 4t + 4

-4(4t^2 - t -1) = 0

t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)

t = 0.64, -0.39

answer is 0.64

Solving the equation 3^(x + 5) = 5^(-2x + 7) gave a solution of x to be 1.3371

The giving problem consist of an equation 3^(x + 5) = 5^(-2x + 7) with exponents, the solution is as follows

3^(x + 5) = 5^(-2x + 7)

take ㏑ of both sides

(x + 5)㏑ 3 = (-2x + 7) ㏑ 5

x ㏑ 3 + ㏑ 3 = -2x ㏑ 5 + 7 ㏑ 5

collecting like terms

x ㏑ 3 + 2x ㏑ 5 = 7 ㏑ 5 - 5 ㏑ 3

x(㏑ 3 + 2 ㏑ 5) = 7 ㏑ 5 - 5 ㏑ 3

x = (7 ㏑ 5 - 5 ㏑ 3) / (㏑ 3 + 2 ㏑ 5)

x = 1.3371

the value of x = 1.3371

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\( \star \blue{ \frak{To \: find :}}\)

\( \\ \\ \)

\( \\ \\ \)

\( \star \blue{ \frak{solution:}}\)

\( \\ \\ \)

So to find value of x , we have to apply Linear Pair.

\( \\ \\ \)

Equation formed:

\( \\ \\ \)

\( \bigstar \boxed{ \tt(10x - 20) \degree + (6x + 8)\degree = 180 \degree} \\ \)

\( \\ \\ \)

Step by step expansion:

\( \\ \\ \)

\( \dashrightarrow \sf(10x - 20) \degree + (6x + 8)\degree = 180 \degree \\\)

\( \\ \\ \)

\( \dashrightarrow \sf10x - 20 \degree + 6x + 8\degree = 180 \degree \\\)

\( \\ \\ \)

\( \dashrightarrow \sf10x +6x- 20 \degree + 8\degree = 180 \degree \\\)

\( \\ \\ \)

\( \dashrightarrow \sf16x- 20 \degree + 8\degree = 180 \degree \\\)

\( \\ \\ \)

\( \dashrightarrow \sf16x- 12\degree = 180 \degree \\\)

\( \\ \\ \)

\( \dashrightarrow \sf16x = 180 \degree + 12\degree\\\)

\( \\ \\ \)

\( \dashrightarrow \sf16x =192\degree\\\)

\( \\ \\ \)

\( \dashrightarrow \sf \: x = \frac{192\degree}{16\degree} \\\)

\( \\ \\ \)

\( \dashrightarrow \sf \: x = 12 \degree\)

\( \\ \\ \)

\(\therefore \underline {\textsf{\textbf{Value of x is \red{12\degree}}}}\)

Step-by-step explanation:

Linear Pairs of Angles: If a ray stands on a line, then the two adjacent angles so formed is 180° or sum of the angles forming a linear pair is 180°.

Now, from figure:

Given angles are on the straight line

They are linear pair

(10x - 20)° + (6x + 8)° = 180°

Open all the brackets on LHS.

⇛10x - 20° + 6x + 8° = 180°

⇛10x° + 6x - 20 + 8° = 180°

Add and subtract the variables and Constants on LHS.

⇛16x - 12° = 180°

Shift the number -12 from LHS to RHS, changing it's sign.

⇛16x = 180° + 12°

Add the numbers on RHS.

⇛16x = 192°

Shift the number 16 from LHS to RHS, changing it's sign.

⇛x = 192°/16

Simplify the fraction on RHS to get the final value of x.

⇛x = {(192÷2)/(16÷2)}

= (96/8)

= {(96÷2)/(8÷2)}

= (48/4)

= {(48÷2)/(4÷2)}

= (24/2)

= {(24÷2)/(2÷2)} = 12/1

Therefore, x = 12

Answer: Hence, the value of x is 12.

Explore More:

Now,

Finding each angle by substitute the value of x.

Angle (10x-20)° = (10*12-20)° = (120-10)° = (100)° = 100°

Angle (6x+8)° = (6*12+8)° = (72 + 8)° = (80)° = 80°

Verification:

Check whether the value of x is true or false. By substituting the value of x in equation.

(10x-20)° + (6x + 8)° = 180°

⇛(10*12-20)° + (6*12 + 8)° = 180°

⇛(120 - 20)° + (72 + 8)° = 180°

⇛(100)° + (80)° = 180°

⇛100° + 80° = 180°

⇛180° = 180°

LHS = RHS, is true for x = 12.

Hence, verified.

Please let me know if you have any other questions.

Answer:

the answer is D.

Step-by-step explanation:

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