a dolphin swam 12 miles in 4 hours. what was its average speed in miles per hour (mph) ?


PLEASE HELPPPP

Answer:

3y+3

Step-by-step explanation:

pls give brainly

Answer: n squared - 1

Step-by-step explanation:

The relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

An expression in mathematics is a combination of terms both constants and variables.

Given is a pattern of small squares as described -

Step 1 has 0 squares.

Step 2 has 3 squares : 2 by 2 but missing the lower right square.

Step 3 has 8 squares : 3 by 3 but missing the lower right square.

We can write the general expression for step {n} as -

Step {n} will have : 2ⁿ - 1 squares with missing the lower right square.

or

f(n) = 2ⁿ - 1

Therefore, the relationship between the step number {n} and the total number of small squares in the pattern is -

f(n) = 2ⁿ - 1.

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Answer:

241

Step-by-step explanation:

round it up and you get 241

The required points (x ,y ) for the curve x = 6t² + 5 , y = t³ -7  has slope 1/2  are ( 29,1).

Slope of the tangent line to the curve = dy/dx

dy/dx = ( dy / dt ) × ( dt / dx )  __(1)

y = t³ -7

⇒ dy /dt = 3t²

x = 6t² + 5

⇒ dx / dt = 12t

Now substitute the value of dy/dt and dx/dt in (1) we get,

dy / dx = 3t² / 12t

⇒ dy /dx = t /4

Slope (dy /dx ) = 1 /2

⇒ t /4 = 1 /2

⇒ t = 2

Point ( x , y ) = ( 6(2)² + 5 , 2³ -7 )

                    = ( 29, 1 )

Therefore, the points (x ,y ) for the curve with tangent line to the curve has slope 1/2 is equal to ( 29, 1) .

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Answer:

It is difficult to determine the best solution without knowing the specific system of equations that needs to be solved. However, in general, substitution is often more efficient and accurate than graphing when solving systems of equations algebraically.

Substitution involves solving for one variable in terms of the other in one equation and substituting that expression into the other equation to obtain an equation in a single variable. This allows for the variable to be solved for and the solution to be found.

Graphing, on the other hand, involves graphing both equations on the same coordinate plane and identifying the point(s) of intersection, which may be less accurate and more time-consuming than solving by substitution.

Therefore, the solution that is best found solving the system by substitution may be any of the given options, depending on the specific system of equations being solved.

The example of non polyhydrons the length of a fields are equals to the cone and sphere. So, option (b) and (c) is rigth choices for answering this problem.

The solid objects which have faces (flat faces) are called polyhedra (singular is polyhedron) and the solid objects which have curved faces are called non-polyhedra. Some examples of non-polyhedra are sphere, cylinder, cone . A sphere is not a polyhedron because it is not composed of flat faces connected at straight edges, thus it does not form a shape. Cone is not a polyhedron because it has a curved surface. Rectangle is a polyhedron because it has a curved shape.

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Complete question:

Write the example of non polyhydrons the length of a fields and

a) a rectangular

b) cone

c) sphere

d) semi- circle

The length of PD = 1.5

ΔABC is an equilateral triangle. P is a point on the minor arc connecting A and B.

Hence ∠APB = 90° and ∠PAC = 90°

What is Equilateral triangle?

A triangle in which all three sides are the same length, called Equilateral triangle.

ΔABC is equilateral triangle.

Hence, ∠PAD = 90° - 60°

                      =30°

In ΔAPD,

\(sin30 = \frac{PD}{PA}\)

\(\frac{1}{2} = \frac{PD}{3}\)

\(PD=\frac{3}{2}\)

\(PD = 1.5\)

Hence length of PD = 1.5

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The volume of balloon is given

It is also given that the radius is increasing over time with the relation r(t)=15t.

a. The volume in terms of time is

b. The volume is given 600,000 cubic inches. We have to determine the time in minutes.

Hence the time in minutes is 3.45 min.

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Answer:

4:7= 11

550 ÷11= 50

thats the answer

£550 can be divided into the ratio 4 : 7 as £200 and £350.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given number is £550.

We have to divide the money in the ratio 4 : 7.

There exists a constant k, such that, the money is divided into 4x and 7x.

Then we have,

4x + 7x = 550

11x = 550

x = 550 / 11

  = 50

Money can be divided into,

4x = 4 × 50 = £200

7x = 7 × 50 = £350

Hence the total money £550 can be divided into the ratio 4 : 7 as £200 and £350.

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Answer:

> i hope it help because if its equal its 4/7_______4:7 but it's 5:8

Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators.


Variables that indicate the distance a target is from the level achieved are called performance metrics or progress indicators. These variables help measure and track progress towards a goal by providing a quantitative or qualitative measure of how far the target is from the desired level of achievement.

Performance metrics can be represented in various forms, such as distance covered, percentage completed, points earned, or even subjective evaluations. For example, in a fitness program, a performance metric could be the number of miles run or the number of push-ups completed.

These metrics enable individuals or organizations to assess their progress and make necessary adjustments to reach their desired outcomes.

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Answer:

72°

Step-by-step explanation:

The measure of x is calculated by this formula

1/2×(difference of Intercepted Arcs)

1/2 × (252 - 108) = 72°

The statement "If the null hypothesis is rejected by a one-tailed hypothesis test, then it will also be rejected by a two-tailed test" is false.

If the null hypothesis is rejected by a one-tailed hypothesis test, it does not necessarily mean that it will also be rejected by a two-tailed test. In a one-tailed test, the rejection region is located in only one tail of the distribution, while in a two-tailed test, the rejection region is divided between both tails of the distribution.

Therefore, the decision to reject the null hypothesis in a one-tailed test is based on evidence of an effect in a specific direction, whereas in a two-tailed test, it requires evidence of an effect in either direction. Consequently, a rejection in a one-tailed test does not automatically imply rejection in a two-tailed test.

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The equation represented by the graph is given as follows:

\(y = e^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

For a logarithm with base e, with intercept of y = 1, the equation is given as follows:

\(y = e^x\)

Which is the equation for this problem.

The graph is given by the image presented at the end of the answer.

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The rate per mile in this problem is given as follows:

0.88 minutes per mile.

The rate per mile in this problem is obtained applying the proportions in the context of the problem.

A proportion is applied as the rate per mile is given by the division of the number of minutes by the number of miles.

The parameters for this problem are given as follows:

Hence the rate per mile in this problem is given as follows:

30/34 = 0.88 minutes per mile.

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Answer:

The answer and work is both located in the screenshot provided!

Step-by-step explanation:

Hoped this helped!

Answer:

The answer is 48, I hope this helps!

Step-by-step explanation:

would you like me to explain?

The graph that correctly represents the linear piece-wise function is the first graph.

A linear function is modeled by:

\(y = mx + b\)

In which:

A cab company charges a $5 pick up fee and $1 for each mile up to 10 miles, hence:

\(y = 5 + x, x \leq 10\)

Hence, at x = 10, we have that:

y = 5 + 10 = 15.

$2 per mile for each mile over $10, hence:

\(y = 15 + 2(x - 10), x \geq 10\)

Hence, at x = 14, we have that:

y = 15 + 2(14 - 10) = 15 + 8 = 23.

Thus the first graph is correct.

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Answer:A. It is the first graph

Step-by-step explanation:

In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

In the given question, the issue of capital punishment is a hotly debated topic.

Do more republicans than democrats support capital punishment?

A researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment.

In this problem, we want to make inferences about:

A. one mean

B. comparing means from dependent samples

C. comparing means from two independent samples

D. one proportion

E. comparing proportions from two independent samples

F. comparing proportions from dependent samples

As we know that,

A hypothesis test can assist in figuring out whether a variation in the estimated proportions actually reflects a variation in the population proportions. An approximation of the normal distribution is shown by the difference between two proportions. The null hypothesis often argues that the two proportions are equal.

So, a researcher randomly selects 100 republicans and 100 democrats and asks them if they support or do not support capital punishment. In this problem, we want to make inferences about comparing proportions from dependent samples. So the option F is correct.

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Answer:

sinc C = 24/25

Step-by-step explanation:

sin is opposite side/hypotenuse

sinc C = 24/25

You need to memorize the definitions of all the trig functions and these types of problems will be really easy.

Answer:

24/25

Step-by-step explanation:

hope helpful have a great day

Answer:

43 dollar bills and 12 ten dollar bills

Step-by-step explanation:

let x = number of $1

y = number of $10

x + 10y = 163

x+y = 55

x = 55 - y

x + 10y = 163

(55-y) + 10y =163

55 - y + 10y = 163

9y = 163 - 55

9y = 108

y = 12

x = 55 - 12

x = 43

Answer:

commission = 3% of £28500= £855

Answer:

Step-by-step explanation:

45

Step-by-step explanation:

3x+x=180

4x=180

x=45

Hope this helps hit the crown :D

Answer:

Step-by-step explanation:

25 feet for 8 mins

300/25=12

8*12=96

The line will move to 300 feet in 96 mins

If two two-digit numbers, a and b, have the same digits in reverse order, the factor of their product, ab, is 101.

If the two-digit numbers a and b contain the same digits in reverse order, it means they can be written in the form of:

a = 10x + y

b = 10y + x

where x and y represent the digits.

To find a factor of ab, we can simply multiply a and b:

ab = (10x + y)(10y + x)

Expanding this expression, we get:

ab = 100xy + 10x^2 + 10y^2 + xy

Simplifying further, we have:

ab = 10(x^2 + y^2) + 101xy

Therefore, the factor of ab is 101.

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The distribution of the total resistance of the two components in series for a randomly selected toaster is also normal, with a mean equal to the sum of the means of the two components, and a standard deviation equal to the square root of the sum of the variances of the two components.

Let's accept that the resistance of each component is regularly conveyed, with implies of μ1 and μ2, and standard deviations of σ1 and σ2, separately. We also assume that the two components are free of each other.

Add up to resistance = R1 + R2

where R1 and R2 are the resistances of the two components.

Concurring to the properties of ordinary dispersions, the entirety of two autonomous ordinary factors is additionally regularly dispersed, with a cruel rise to the entirety of the implies and a change rise to the whole of the changes. Hence, the cruelty of the overall resistance is:

Cruel = μ1 + μ2

and the change is:

Fluctuation = σ1\(^{2}\)+ σ2\(^{2}\)

The standard deviation of the full resistance is at that point the square root of the change:

Standard deviation = sqrt(σ1\(^{2}\) + σ2\(^{2}\))

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The value of x in the ratio 5x : 9 = 7 : 3 is x = 21/5

From the question, the ratio is given as

5x : 9 = 7 : 3

Express the ratio, as a fraction

So, we have the following representation

5x / 9 = 7 / 3

Cross multiply the following expression

So, we have the following representation

3 * 5x = 9 * 7

Evaluate the products

15x = 63

Divide both sides by 15

So, we have

x = 63/15

Simplify the fraction

x = 21/5

Hence, the solution to the ratio is x = 21/5

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Answer:

3x

Step-by-step explanation:

any other would move it up away from the oragin

To find the volume and surface area of the composite figure, we need to first find the individual volumes and surface and the right cone, and then add them together.

The volume of a hemisphere with radius r is (2/3)πr^3, and the surface area is 2πr^2.

The volume of a right cone with radius r, height h, and slant s is (1/3)πr^2h, and the surface area is πr^2 + πrs.

In this case, the radius r and slant s are both 6 cm, and the height h of the cone can be found using the Pythagorean theorem: h = √(s^2 - r^2) = √(8^2 - 6^2) = √28 ≈ 5.29 cm.

So, the volume of the hemisphere is (2/3)π(6 cm)^3 = 72π/3 = 24π cubic cm, and the surface area is 2π(6 cm)^2 = 72π square cm.

The volume of the right cone is (1/3)π(6 cm)^2(5.29 cm) = 62.83π/3 ≈ 20.94π cubic cm, and the surface area is π(6 cm)^2 + π(6 cm)(8 cm) = 36π + 48π = 84π square cm.

Therefore, the total volume of the composite figure is 24π + 20.94π = 44.94π cubic cm, and the total surface area is 72π + 84π = 156π square cm.

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