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


Answer choices : A. 2 mph
B . 4 mph
C. 3 mph
D. 7 mph

PLEASE HELLPPP :(

The point p at an angle of -90 degrees on a circle of radius 4.3 is the point where a vertical line intersects the circle.

This is because an angle of -90 degrees is equivalent to a downward vertical direction in the Cartesian coordinate system. To find the coordinates of this point, we can use the equation of a circle in standard form:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is its radius. Since the circle in this question has a radius of 4.3, we can substitute r = 4.3 into the equation. To find the center of the circle, we would need additional information such as the equation of the circle or another point on the circle.

However, we can still find the coordinates of the point p by realizing that the center of the circle is the origin (0,0) and substituting x = 0 into the equation of the circle. This gives us:

(0 - 0)^2 + (y - 0)^2 = 4.3^2

Simplifying the equation, we get:

y^2 = 4.3^2

Taking the square root of both sides, we get:

y = ± 4.3

Since we are looking for the point p at an angle of -90 degrees, we take the negative square root to get:

y = -4.3

Therefore, the coordinates of the point p are (0, -4.3)

Learn more about coordinates here:brainly.com/question/16634867

#SPJ11

We must study 270 cars to achieve a 90% confidence interval.

To construct a 90% confidence interval for the proportion of cars that are recalled at least once with a margin of error of no more than ±5 percentage points, you must determine the required sample size.

Here's a step-by-step explanation:

1. Identify the desired confidence level (Z-value):

For a 90% confidence interval, the Z-value is 1.645.

2. Determine the margin of error (E):

In this case, it is ±5 percentage points, or 0.05.

3. Estimate the population proportion (p):

Since we do not have an estimate for the proportion of cars recalled at least once, we will use p = 0.5 as a conservative estimate.

4. Use the formula for sample size (n) in proportion problems:

n = (Z² × p × (1 - p)) / E²

n = (1.645² × 0.5 × (1 - 0.5)) / 0.05²

n ≈ 270.6025

Since you cannot have a fraction of a car, you should round up to the nearest whole number.

Therefore, you must study approximately 270 cars to achieve a 90% confidence interval with a margin of error of no more than ±5 percentage points for the proportion of cars that are recalled at least once.

Learn more about confidence interval:

https://brainly.com/question/15712887

#SPJ11

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year

Answer:

do u even still need the answer its been aweek since you asked it and it was due that same day

Step-by-step explanation:

Answer:

x=5/8

Step-by-step explanation:

Answer:

The solution to this inequality is 4 or anything less than 4

so x could equal 4, 3, 2, 1, 0, -1, -2, and so on

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-2x +4 < 12

-2x < 12 -4

-2x < 8

x > -8/2

x > -4

Answer:

x > - 4

Step-by-step explanation:

- 2x + 4 < 12 ( subtract 4 from both sides )

- 2x < 8

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > - 4

Answer: 1/4

Step-by-step explanation:

3/4 + 5/6 + (-1/4) + (-7/6)

18/24 + 20/24 + (-6/24) + (-28/24)

38/24 + (-6/24) + (-28/24)

38/24 + (-34/24)

4/24

1/6

A statistic is, 4.13%.

Given that;

On Feb. 19th, 2010, 4.13% of the randomly selected spots had potamogeton (a type of seagrass)

Since, A parameter is a value that is determined from all of the data, whereas a statistic is a value that is produced from a sample of the data.

Here, The percentage of spots containing portamento in this instance was solely determined from a randomly chosen sample, making it a statistic.

Hence, It would be a parameter if the percentage was determined using the whole population of spots.

Thus, 4.13% is a statistic.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ1

The required original number that June was thinking of is 36.

Let's assume the original number June was thinking of is represented by "x". According to the problem, June doubles the original number (2x) and adds 18 to get an answer of 90. We can write this as the equation:

\(2x + 18 = 90\)

To find the value of x, we need to isolate it on one side of the equation. Let's subtract 18 from both sides:

\(2x = 90 - 18 \\ 2x = 72\)

Now, we divide both sides of the equation by 2 to solve for x:

\(x = 72 / 2 \\ x = 36\)

Therefore, the original number that June was thinking of is 36.

Learn more about equation here,

http://brainly.com/question/2972832

#SPJ4

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

We have,

In a rhombus,

The opposite angle is congruent.

So,

(56 + 56) = ∠1 + ∠2

And,

∠1 and ∠2 are equal angles.

So,

112 = 2∠1

∠1 = 56

∠2 = 56

Now,

All four angles in side the rhombus = 360

112 + 112 + ∠x + ∠x = 360

2∠x = 360 - 224

2∠x = 136

∠x = 68

This ∠x is the angle inside the rhombus.

And, ∠x/2 = ∠3 = ∠4

So,

∠3 = 68/2 = 34

∠4 = 34

Thus,

The measure of angles inside the rhombus are:

∠1 = 56

∠2 = 56

∠3 = 34

∠4 = 34

Learn more about Rhombus here:

https://brainly.com/question/27870968

#SPJ1

Answer: 7.3 < 12

Step-by-step explanation:

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

BRAINLIEST PLEASE

Answer:

The equation would be a quadratic trinomial

Step-by-step explanation:

Step 1: Expand the equation to remove the brackets

0 = 8x² + 3x - 12x² + 1

Step 2: Collect like terms

0 = -4x² + 3x + 1

Step 3: Count number of terms

0 = -4x² + 3x + 1

1 2 3

Therefore there are 3 terms and this is a quadratic equation making the answer B, a quadratic trinomial

The value of the exponential equation is y = 5ˣ + 4

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

The y intercept is ( 0 , 5 )

So , when x = 0 , the value of y = 5

Substituting the values in the equation , we get

y = 5ˣ + 4   be equation (1)

when x = 0

y = 5⁰ + 4

y = 1 + 4

y = 5

when x = 2

y = 5² + 4

y = 25 + 4 = 29

Therefore , the range is all y values greater than 0

Hence , the equation is y = 5ˣ + 4

To learn more about exponents click :

https://brainly.com/question/28966438

#SPJ6

This confidence interval provides an estimate of the true standard deviation of the lifetime distribution with a 95% probability.

A 95% confidence interval (CI) for the standard deviation of a lifetime distribution can be calculated using the chi-squared distribution if the underlying data follows an exponential distribution. The standard deviation of an exponential random variable is equal to the inverse of its rate parameter (λ), which is also equal to its mean (µ).

To calculate the 95% CI for the standard deviation, follow these steps:
1. Determine the sample size (n) and calculate the sample mean (µ).
2. Calculate the degrees of freedom (df) as n-1.
3. Find the chi-squared values (χ²) corresponding to the lower and upper tail probabilities for a 95% CI using a chi-squared table or calculator.
4. Use the formula: CI = [√((n-1)*µ²/χ²_upper), √((n-1)*µ²/χ²_lower)].

For more about confidence interval:

https://brainly.com/question/24131141

#SPJ11

It will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

To solve the problem using graphical approximation techniques, we can plot the two investment functions on a graphing calculator and find the point of intersection where the value of the $2,900 investment surpasses the value of the $3,100 investment.

Let's use the formula \(A = P(1 + i)^n\),

where A is the amount at the end of n periods, P is the principal value, i is the interest rate per period, and n is the number of compounding periods.

For the $2,900 investment at 15% compounded quarterly:

P = $2,900

i = 15% = 0.15/4

= 0.0375 (interest rate per quarter)

For the $3,100 investment at 9% compounded quarterly:

P = $3,100

i = 9% = 0.09/4

= 0.0225 (interest rate per quarter)

Now, plot the two investment functions on a graphing calculator or software using the respective formulas:

Function 1:\(A = 2900(1 + 0.0375)^n\)

Function 2:\(A = 3100(1 + 0.0225)^n\)

Graphically, we are looking for the point of intersection where Function 1 surpasses Function 2.

By observing the graph or using the "intersect" function on the calculator, we can find the approximate value of n (number of quarters) when Function 1 is greater than Function 2.

Let's assume the graph shows the intersection point at n = 15.6 quarters. Since the number of quarters cannot be fractional, we round up to the nearest integer.

Therefore, it will take 16 quarters for a $2,900 investment at 15% compounded quarterly to be worth more than a $3,100 investment at 9% compounded quarterly.

To know more about investment visit:

https://brainly.com/question/15105766

#SPJ11

We know that

So, we can see that g(x) is f(x) reflected in the x-axis. But, it has another change which is a downward movement in 3 units.

So, we can deduce that

Sketch of the situation:

When you reflect f(x) in the x-axis, you obtain something like -f(x).

We can see that -f(x) intersect the y-axis in -1. But, g(x) intersect the y-axis in -4.

So, we need to move the function 3 units down. Whe we make the movement the graph will intersect the y-axis in -4 because -1-3=-4.

Answer:

Approximately 15.05 ft

Step-by-step explanation:

You need to use tangent for this question.

Since tan θ = \(\frac{Opposite}{Adjacent}\)

to find the Opposite, we need to rearrange the equation to:

Adjacent × tan θ = Opposite.

So if you insert 62 for θ and 8 feet for Adjacent, you will get:

8 × tan(62) = Opposite.

and you will get approximately 15.05 feet for your Opposite side

Area Principle. In a statistical display, each data value should be represented by the same amount of area. Bar chart (Relative Frequency Bar Chart)

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Using rectangular bars with heights or lengths proportional to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

Learn more about bar chart here

https://brainly.com/question/24741444

#SPJ4

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Answer:

Step-by-step explanation:

The expression 36 divided by s = 4 can be solved for s by dividing both sides of the equation by 36:

36/s = 4

Dividing both sides of the equation by 4:

s = 36/4 = 9

So, the value of s that makes the equation true is 9. This means that if you divide 36 by 9, the result will be 4.

Answer:

Step-by-step explanation:

We cannot determine whether f(2)+f(3) is equal to f(5) or not without any information about the function f.

For example, if f(x) = x, then f(2) + f(3) = 2 + 3 = 5, and f(5) = 5, so f(2)+f(3) = f(5).

However, if f(x) = x^2, then f(2) + f(3) = 2^2 + 3^2 = 4 + 9 = 13, and f(5) = 5^2 = 25, so f(2)+f(3) ≠ f(5).

Therefore, the relationship between f(2)+f(3) and f(5) depends on the specific function f, and cannot be determined without knowing the functional form of f.

Answer:

2. variable 3. variable 4. constant

Step-by-step explanation:

There are two ways of thinking about it: logically and mathematically.

Logically, a company is very unlikely to sell the exact same number of computers each week, so you'd expect it to vary. Mathematically, if you calculate two slopes using 4 points from the same table, like (12-6)/(4-2) and (60-25)/(20-11), they aren't always equal (those expressions are not equal to each other), so it varies.

Logically, objects accelerate as they fall, so their speed (rate of change) will increase. Mathematically, do the same as above and see that (64-16)/(2-1) is way smaller than (256-144)/(4-3), so it varies.

Logically, you'd expect each sweater to cost the exact same every time, so you'd expect it to be constant. Mathematically, do the same as above and see that the slope is constantly $19 per sweater.

Let me know if you need more specificity or steps! (:

(a) f(x) = 10x - x^2 is concave

(b) f(x) = x' + 6x^2 + 12x is convex

(c) f(x) = 2x - 3x^2 is concave

(d) f(x) = x + x is neither convex nor concave

(e) f(x) = x + x^4 is convex

(a) The function f(x) = 10x - x^2 is concave. To show this, we take the second derivative of f(x) which is -2, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(b) The function f(x) = x' + 6x^2 + 12x is convex. To show this, we take the second derivative of f(x) which is 12x + 2, which is positive for all x. Since the second derivative is positive for all x, the function is convex.

(c) The function f(x) = 2x - 3x^2 is concave. To show this, we take the second derivative of f(x) which is -6, which is negative for all x. Since the second derivative is negative for all x, the function is concave.

(d) The function f(x) = x + x is neither convex nor concave. To show this, we take the second derivative of f(x) which is 0, which is neither positive nor negative. Since the second derivative is neither positive nor negative, the function is neither convex nor concave.

(e) The function f(x) = x + x^4 is convex. To show this, we take the second derivative of f(x) which is 12x^2, which is positive for all x except 0. Since the second derivative is positive for all x except 0, the function is convex.

Learn more about Convex

brainly.com/question/10586199

#SPJ11

Answer: its rational!

Answer:

MP = 12 cm

Step-by-step explanation:

4cm : 6cm

8cm : x

8 * \(\frac{6}{4}\) = 12 cm

MP = 12 cm

Answer:

\((3w+2)(2w^2 + 1)\)

Step-by-step explanation:

\(6w^3+4w^2+3w+2\)

\(\implies (6w^3+4w^2)+(3w+2)\)

Factor out \(2w^2\) from first parentheses and 1 from second:

\(\implies 2w^2(3w+2) + 1(3w+2)\)

Factor out common term \((3w+2)\):

\(\implies (3w+2)(2w^2 + 1)\)

Answer: if you're not interested or you want a new godly or just want a new godly gun

Step-by-step explanation: oof