9.565565556 do you agree explain

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.

Know more about gravitational potential energy:

https://brainly.com/question/3910603

#SPJ11

A ratio shows us the number of times a number contains another number. The two areas that have buckeyes and monarchs are in the same proportion as A and D.

A ratio shows us the number of times a number contains another number.

The ratio of buckeyes and monarch butterflies in different areas can be written as,

Area A,

Buckeyes/Monarchs = 15/16

Area B,

Buckeyes/Monarchs = 27/36 = 3/4

Area C,

Buckeyes/Monarchs = 12/25

Area D,

Buckeyes/Monarchs = 24/32 = 3/4

Area E,

Buckeyes/Monarchs = 44/33 = 4/3

Hence, the two areas that have buckeyes and monarchs are in the same proportion as A and D.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:B and D

Step-by-step explanation:

i just took the test

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Answer:

−1 < x < 4

Hoped this helped ⊂◉‿◉つ

Answer:

x = ±2

Step-by-step explanation:

Move the 3 to the left side of the equation by subtracting it. This way, you get:

2=|x|.

Because x is an absolute value, that means the value of x can be negative or positive. That is why there is a "±" symbol beside the 2 in the answer.

Answer:

27= \(3\sqrt{3}\) (3 x 3 x 3)

45= \(3\sqrt{5}\) (3 x 3 x 5)

54= \(3\sqrt{6}\) (3 x 3 x 3 x 2)

Step-by-step explanation:

Answer:

We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.

Considering the expression of a line, the slope intercept form is y= -x+2.

A linear equation o line can be expressed in the form y = mx + b

where

This is known as the slope-intercept form. This form is one of the most common forms used to represent the equation of a line and can be used to find the equation of a line when given the slope of the straight line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis).

In this case, the line is x+y=2. Expressed in the form y = mx + b, you get:

y= 2 -x     or     y= -x +2

Finally,  x+y=2 in slope intercept form is y= -x+2.

Learn more about slope-intercept form:

https://brainly.com/question/1884491

https://brainly.com/question/6202710

#SPJ1

Answer:

curved surface area of half cylinder is

Step-by-step explanation:

πr2h

Answer:

Area of half cylinder is

Step-by-step explanation:

πr2h

At a 1% significance level, we can infer that σ^2 is less than 100 if the test statistic falls in the rejection region. To determine this, we need to perform a chi-square test.

The test statistic for the chi-square test is calculated as (n - 1)  s^2 / σ^2, where n is the sample size, s^2 is the sample variance, and σ^2 is the hypothesized population variance.

In this case, the test statistic is (50 - 1) * 80 / 100 = 39.2.

To determine the critical value for a chi-square test at a 1% significance level with 49 degrees of freedom, we need to consult the chi-square distribution table or use statistical software. The critical value for this test is approximately 69.2.

Since the test statistic (39.2) is less than the critical value (69.2), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to infer at the 1% significance level that σ^2 is less than 100.

The chi-square test is used to test whether the population variance (σ^2) is significantly different from a hypothesized value. By comparing the test statistic with the critical value, we determine whether to reject or fail to reject the null hypothesis. In this case, as the test statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is insufficient evidence to infer that σ^2 is less than 100 at the 1% significance level.

Learn more about test statistic here:

https://brainly.com/question/31746962

#SPJ11

Answer: The measure of BC is the same as the measure of BAC. (since it's the same angle)

By depositing $4000 in cash into a checking account at the local bank, given that the reserve requirement is 12%, the increase the total value of checkable bank deposit is $33333.33.

Reserve requirements are the amount of funds that a bank holds in reserve to ensure that it is able to meet liabilities in case of sudden withdrawals.

The required reserve ratio can be found by dividing the amount of money a bank is required to hold in reserve by the amount of money it has on deposit.

Given,

reserve requirement = 12%

money deposited = $4000

checkable bank deposit = money deposited / reserve requirement = \(\frac{4000}{0.12} = 33333.33\)

Learn more about reserve requirements here

https://brainly.com/question/15056132

#SPJ4

complete question is given below:

You just deposited $4,000 in cash into a checking account at the local bank. Assume that banks lend out all excess reserves and there are no leaks in the banking system. That is, all money lent by banks gets deposited in the banking system. Round your answers to the nearest dollar. If the reserve requirement is 12%, how much will your deposit increase the total value of checkable bank deposit?

Answer:

63.00

Step-by-step explanation:

Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.

Answer: 84

Step-by-step explanation: do 42 dived by 50% gets you 84

The value of P(1.41 < Z < 2.85)  is 0.0771.

Hence, the correct answer is d.

A normally distributed random variable with mean μ= 0 and standard deviation σ= 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Because the Standard Normal Distribution is a probability distribution, the area under the curve between two points indicates the likelihood that variables will take on a range of values.

The whole area under the curve is one, or one hundred percent.

The mean and variance of a normal distribution are governed by two factors.

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

The probability that a standard normal random variable Z is between 1.41 and 2.85 can be found using a standard normal table with a standard normal cumulative distribution function.

The answer is approximate:

P(1.41 < Z < 2.85)

= P(Z < 2.85) - P(Z < 1.41)

= 0.9927 - 0.9185

= 0.0742

For more questions on Standard Normal Distribution

https://brainly.com/question/4079902

#SPJ4

The range of the function is :

The correct option is (B) {-8, -3, 5, 7}.

We are given to find the range of the function shown in the figure.

We know that the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

Learn more about Range here:

brainly.com/question/11589524

#SPJ4

The angles in order from largest to smallest:

a. ∠D > ∠B >∠A

b. Can not be determined as no information is given

a. Triangle DAB with sides DA = 8cm, AB = 13cm and BD = 7cm.

A triangle's longest side is opposite the largest interior angle, while its shortest side is opposite the smallest interior angle. As a result, it is possible to arrange triangle angles in order from largest to smallest using only the provided length measurements, even if you don't know the angles.

b. We need to know the side lengths of a triangle in order to determine the order of the angles. As there is no information given, we can not determine the order.

Know more about side angle relationship,

https://brainly.com/question/18980866

#SPJ1

The amount of water that leaks from the bucket each hour is 38 ounces/hour.

The amount of water in the bucket at 8 am would have been 380 ounces. The bucket will be empty after 8 hours, or at 6 pm.

To find the amount of water that leaks from the bucket each hour, we can use the information that the leak is at a constant rate. We can find the total amount of water that leaked out of the bucket from 10 am to 3 pm, which is 304 - 114 = 190 ounces.

This is over a time period of 5 hours (from 10 am to 3 pm), so the amount of water that leaks from the bucket each hour is:

190 ounces ÷ 5 hours = 38 ounces/hour

To find how many ounces of water were in the bucket at 8 am, we need to estimate the amount of water that leaked out from 8 am to 10 am. We know that the bucket loses 38 ounces of water every hour, so from 8 am to 10 am (2 hours), the amount of water that leaked out would be:

38 ounces/hour x 2 hours = 76 ounces

Therefore, the amount of water in the bucket at 8 am would have been:

304 ounces + 76 ounces = 380 ounces

To find at what time the bucket will be empty, we can assume that the leak rate remains constant at 38 ounces/hour. We know that the bucket starts with 304 ounces, so we can set up the equation:

y = 304 - 38x

where y is the amount of water in the bucket and x is the time in hours since the leak began. When the bucket is empty, y will be zero, so we can solve for x:

0 = 304 - 38x

38x = 304

x = 8

Therefore, the bucket will be empty after 8 hours, or at 6 pm.

The equation for the amount of water in the bucket as a function of time can be written in slope-intercept form as:

y = -38x + 304

where the slope (m) is -38 (the rate at which water is leaking out of the bucket) and the y-intercept (b) is 304 (the initial amount of water in the bucket).

To know more about equation, refer to the link below:

https://brainly.com/question/29987959#

#SPJ11

Answer:

m = 2

Step-by-step explanation:

m - 3 = - 1 ( isolate m by adding 3 to both sides )

m = - 1 + 3 = 2

m = 2

We will need m on one side, all by itself, so we transpose 3 to the right and change its sign -

\(\sf{\implies m - 3 = -1}\)

\( \sf{\implies m = -1 + 3{/tex]

\( \sf{\implies m = 2 \)

That makes the solution m = 2

Answer:

sorry

Step-by-step explanation:

i don't understand

Answer:

y=2

Step-by-step explanation:

y= K/x^2....we must find k first

when x is 4 y is 1/2

y = k / X^2

1/2 = K/4^2

1/2 = k /16....... criss cross

16/2 = k

k = 8

y = k/ x^2

y = 8 /2^2....when x is 2

y = 8/4

y = 2

The interval of convergence of the given power series is (-5, -3).

To determine the interval of convergence, we can use the ratio test. The ratio test states that for a power series\(∑(n=0 to ∞) cₙ(x-a)ⁿ\), if the limit as n approaches infinity of |cₙ₊₁/cₙ| equals L, then the series converges if L < 1 and diverges if L > 1.

In this case, we have\(cₙ = (-1)ⁿ + (n + 4) and a = 1.\) Applying the ratio test, we have:

\(|cₙ₊₁/cₙ| = |(-1)ⁿ⁺¹ + (n + 5)/(n + 4)|\)

= 1 + (n + 5)/(n + 4)

Taking the limit as n approaches infinity, we find:

\(lim (n→∞) (1 + (n + 5)/(n + 4)) = 1\)

Since the limit is 1, the ratio test is inconclusive. To determine the interval of convergence, we need to examine the endpoints of the interval.

At x = -5, the series becomes\(∑(n=0 to ∞) (-1)ⁿ + (n + 4)(-5-1)ⁿ = ∑(n=0 to ∞) (-1)ⁿ + (-9)ⁿ,\)which is an alternating series that converges by the alternating series test.

At x = -3, the series becomes\(∑(n=0 to ∞) (-1)ⁿ + (n + 4)(-3-1)ⁿ = ∑(n=0 to ∞) (-1)ⁿ + (-7)ⁿ,\) which is also an alternating series that converges by the alternating series test.

Therefore, the interval of convergence is (-5, -3).

learn more about convergence here

https://brainly.com/question/31966560

#SPJ11

a. The control limits for the 3-sigma x-bar chart are: UCL x-bar = 61.744 lb. and LCL x-bar = 59.756 lb.

b. The control limit for the 3-sigma R-chart is UCL R = 4.051 lb., rounded to three decimal places.

(a) To determine the control limits for the 3-sigma x-bar chart, we need to use the given information of the sample size, overall mean, and average range.

For the x-bar chart, the control limits are calculated using the formula:

Upper Control Limit (UCL x-bar) = overall mean + (A2 * average range)

Lower Control Limit (LCL x-bar) = overall mean - (A2 * average range)

Where A2 is a constant depending on the sample size. For a sample size of 7, the value of A2 is 0.577.

Substituting the values into the formula, we get:

Upper Control Limit (UCL x-bar) = 60.75 + (0.577 * 1.78) = 61.744

Lower Control Limit (LCL x-bar) = 60.75 - (0.577 * 1.78) = 59.756

Therefore, the control limits for the 3-sigma x-bar chart are: UCL x-bar = 61.744 lb. and LCL x-bar = 59.756 lb.

(b) To calculate the control limits for the 3-sigma R-chart, we only need the value of the average range.

The control limits for the R-chart are calculated as follows:

Upper Control Limit (UCL R) = D4 * average range

Lower Control Limit (LCL R) = D3 * average range

For a sample size of 7, the values of D3 and D4 are 0 and 2.282, respectively.

Substituting the values into the formula, we get:

Upper Control Limit (UCL R) = 2.282 * 1.78 = 4.051 lb.

Therefore, the control limit for the 3-sigma R-chart is UCL R = 4.051 lb., rounded to three decimal places.

Learn more about x-bar chart here:

brainly.com/question/31861365

#SPJ11

The area of the parallelogram is 45 square units.

The area of the right trapezoid is 42.5 square units.

A parallelogram is a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.

Area of parallelogram = base × height

= 9 × 5

= 45 square units

Area of a right trapezoid = 1/2 (a + b)h

= 1/2(10 + 7)5

= 1/2(17)5

= 1/2(85)

= 42.5 square units

Therefore, the area of the parallelogram and right trapezoid is 45 square units and 42.5 square units respectively.

Read more on area of parallelogram:

https://brainly.com/question/970600

#SPJ1

Hii!

____________________________________________________________

\(\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup\)

2k(1+5a) or 2k(5a+1)

\(\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup\)

First of all, let's find the common term of this binomial (an expression with two terms; the prefix bi- means "two")

Note that both terms have 2k in them. So, we factor it out.

\(\twoheadrightarrow\sf 2k\div2k+10ak\div2k\)

\(\bullet\) Simplify

\(\twoheadrightarrow\sf 1+5a\)

\(\bullet\) 2k can't just vanish into thin air, so we put it outside the parentheses:

\(\twoheadrightarrow\sf 2k(1+5a)\)

\(\bullet\) Great job! We factored the expression successfully

--

Hope that this helped! Best wishes.

\(\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}\)

--

you have factored out 2k from both terms, leaving you with 2k(1 + 5a). This is the factored form of the expression 2k + 10ak.

To factor the expression 2k + 10ak, you want to find the greatest common factor (GCF) of the terms in the expression. The GCF is the largest expression that can be factored out of all the terms.

In this case, the GCF of 2k and 10ak is 2k because both terms have a factor of 2k:

2k + 10ak = 2k(1 + 5a)

By factoring out the GCF, you are essentially dividing each term by 2k:

1. 2k divided by 2k is 1.

2. 10ak divided by 2k is 5a.

So, you have factored out 2k from both terms, leaving you with 2k(1 + 5a). This is the factored form of the expression 2k + 10ak.

To know more about factored:

https://brainly.com/question/35486064

#SPJ3

Answer:

3/4

Step-by-step explanation:

We can use the slope formula when given two points

m = ( y2-y1)/(x2-x1)

    = ( 5-2)/(1 - -3)

    = (5-2)/(1+3)

    = 3/4

Answer:

3:5

Step-by-step explanation:

The simplest ratio of circles to squares is 3/5.

Here,

Given that there are 15 squares and 9 circles.

We have to find, the simplest ratio of circles to squares.

What is Simplest ratio?

A ratio is said to be is the simplest form or in the lowest term if two quantities of a ratio have no common factor other than 1.

Now,

There are 15 squares and 9 circles.

Hence,  the simplest ratio of circles to squares = \(\frac{9}{15}\)

                                                                        = \(\frac{3}{5}\)

So, The simplest ratio of circles to squares is 3/5.

Learn more about the simplest ratio visit:

https://brainly.in/question/50875797

#SPJ2

Solution. To graph f, we graph the equation y=f(x).

To this end, we use the techniques outlined in Section 1.2.1. Specifically, we check for intercepts, test for symmetry, and plot additional points as needed. To find the x -intercepts, we set y=0. Since y=f(x), this means f(x)=0.

\($$\begin{aligned}f(x) & =x^2-x-6 \\0 & =x^2-x-6 \\0 & =(x-3)(x+2) \quad \text { factor } \\x-3=0 & \text { or } x+2=0 \\x & =-2,3\end{aligned}$$\)

So we get (-2,0) and (3,0) as x-intercepts. To find the y-intercept, we set x=0. Using function notation, this is the same as finding f(0) and f(0)=0^2-0-6=-6. Thus the y-intercept is (0,-6). As far as symmetry is concerned, we can tell from the intercepts that the graph possesses none of the three symmetries discussed thus far. (You should verify this.) We can make a table analogous to the ones we made in Section 1.2.1, plot the points and connect the dots in a somewhat pleasing fashion to get the graph below on the right.

To learn more about graph the equation visit:

https://brainly.com/question/17995541

#SPJ1

Answer:

bivariate data

Scatter plot

positive assossiation

negitive assossiation

linear assocciation

nonlinear assocciaton

clustering

outlier

Step-by-step explanation:

Answer:

20 dollars

Step-by-step explanation:

i am smart

Answer:

20$

Step-by-step explanation:

12÷3=4

1 watermelon=4$

5x4= 20$

C

1) Since by definition, similar triangles have proportional sides and congruent angles, then examining the options

2) The right option is the 3rd one. The distance between the vertices is proportional (length) and the measure of the corresponding angle are the same (congruent to each other)