I NEED HELP ASAP write an equivalent unit rate to running 5/4 a mile in 9 minutes

a. 0.14 miles per minute
b. 0.25 miles per minute
c. 0.54 miles per minute
d. 0.62 miles per minute​

Answer:

2

Step-by-step explanation:

E .) The account is growing exponentially at an annual interest rate of 15.76% is the answer.

Growth rate is usually expressed as a percentage, and can be measured on a quarterly, annual, or other basis.

here, we have,

This is due to the fact that the account balance increases by an amount that is larger than the amount added for the previous year.

This is an example of compound interest, where the interest earned is added to the principal amount.

The growth rate of the account can be calculated by taking the difference between the account balance at the end of the period and the account balance at the beginning of the period, and dividing by the account balance at the beginning of the period.

In this case, the growth rate is

(1,389.15-1,200.00)/1,200.00

= 0.1576, or an annual interest rate of 15.76%.

Hence, E .) The account is growing exponentially at an annual interest rate of 15.76% is the answer.

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Answer:

Step-by-step explanation:

Use Pythagorean's Theorem:

\(c^2=15^2+8^2\) and

\(c^2=225+64\) and

\(c^2=289\) so

c = 17

Answer:

See below

Step-by-step explanation:

Angle a       cos = adj leg / hyp  

                    arcos(28/35) = a = 36.9 °

angle b        you could just say    

                            a + 90 + b = 180°     (angles in triangle sum to 180 )

                                                        36.9 + 90 + b = 180      b = 53.1°

         or   angle b = arcsin (opp/hyp) = arcsin (28/35) = 53.1°

9514 1404 393

Answer:

  16π/17 radians ≈ 169.41°

Step-by-step explanation:

The arc length of the sector is the circumference of the cone:

  C = 2πr = 2π(4 cm) = 8π cm

The angle and arc length are related by ...

  s = rθ . . . . . θ in radians

  8π cm = (8.5 cm)θ

  θ = 8π/8.5 = 16π/17 . . . . radians

bii) The angle of the sector is 16π/17 radians ≈ 169.41°.

Answer:

169° (3sf)

Step-by-step explanation:

the area of a circle multiplied by the angle over 360 gives you ans.

x/360 × π × r²=34π -> ur ans frm part i

x × π(8.5²)=12240π

x × 72.25=12240

x=169.41°

The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.

The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.

Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.

Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.

In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.

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Answer: Railway Track Crossing

Step-by-step explanation: A railway track crossing is usually two “lines”(the railroad and the road) intersecting at a 90 degree angle.

Answer: The adjacent sides of a picture frame

Step-by-step explanation:

The best example would be the adjacent sides of a picture frame. Remember that adjacent means next to and sharing a vertex. The adjacent sides of a picture frame meet at a 90∘ angle and so these sides are perpendicular.

Answer:

60 degrees

Step-by-step explanation:LARGE ANGLE...60-degrees

So, we have x + 2x = 90. Solving for x, we get x = 30. Since the first angle was called x, that means it's measurement is 30°. The second angle, 2x, is just twice the first angle, so its measurement is 60°

Answer:

32 degrees (rounded to nearest angle)

Step-by-step explanation:

Using trigonometric ratios:

Please refer to the picture of my explanation below.

tan^-1 means inverse, so on calculator remember to use the inverse function, by shifting.

total days = 3+5+2+2 = 12

Sunny days = 3

Divide the sunny days by the total number of days

P = 3/12 = 0.25

a. Area of the triangle is increasing at a rate of 16 m^2/s

b. Area of the triangle is increasing at a rate of 12√2 m^2/s

c. Length of the hypotenuse is increasing at a rate of approximately 5.66 m/s.

Since it is an isosceles right triangle

x^2 + x^2 = h^2

x√2 = h.

The area of the triangle is A = (1/2) x^2 = 8 m^2. Use the chain rule:

dA/dt = dA/dx * dx/dt

Differentiating with respect to x:

A = (1/2) x^2

dA/dx = x

So  x = 4:

dA/dt = dA/dx * dx/dt = 4 * 4 = 16 m^2/s

Area of the triangle is increasing at a rate of 16 m^2/s

h = 6 and x = 6/√2.

The area of the triangle is

A = (1/2) x^2 = 18 m^2.

Using the chain rule as before:

dA/dt = dA/dx * dx/dt

By differentiating :

A = (1/2) x^2

dA/dx = x

dA/dx = 6/√2.

dA/dt = dA/dx * dx/dt = (6/√2) * 4 = 12√2 m^2/s

Area of the triangle is increasing at a rate of 12√2 m^2/s

Differentiating the formula with respect to time:

d/dt (x√2) = d/dt (h)

dx/dt * √2 = dh/dt

dh/dt = dx/dt * (√2)

dh/dt = 4 m/s * (√2) ≈ 5.66 m/s

Length of the hypotenuse is increasing at a rate of approximately 5.66 m/s.

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Answer:

14) B

15) C

Step-by-step explanation:

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

Answer:  I am sorry if this doesn't answer you but I don't know this answer

Step-by-step explanation: Please accept.

The density function of X = XY is f(x,z) = x²e^(-x)(Z + X) / (XZ).To find the conditional density of X given Y = y, we use the formula:f(x|y) = f(x,y) / f(y),

where f(x,y) is the joint density function and f(y) is the marginal density function of Y.

1. Conditional Density of X given Y=y:

Given the joint density function f(x,y) = xe^(-x)(y+1), x > 0, y > 0, and the marginal density function of Y is obtained by integrating f(x,y) over all possible x values:

f(y) = ∫(0 to ∞) xe^(-x)(y+1) dx

To find f(y), we integrate f(x,y) with respect to x:

f(y) = ∫(0 to ∞) xe^(-x)(y+1) dx = (y+1) ∫(0 to ∞) xe^(-x) dx

We recognize that the integral is the gamma function, Γ(2), which equals 1! = 1:

f(y) = (y+1) * 1 = y+1

Now, we can find the conditional density of X given Y = y:

f(x|y) = f(x,y) / f(y)

       = (xe^(-x)(y+1)) / (y+1)

       = xe^(-x)

Therefore, the conditional density of X given Y = y is f(x|y) = xe^(-x).

2. Density function of X = XY:

To find the density function of X = XY, we need to transform the joint density function f(x,y) into the joint density function of X and X = XY.

Let's define a new variable Z = XY. To find the joint density function of X and Z, we use the transformation rule:

f(x,z) = f(x,y) / |(∂(x,z) / ∂(x,y))|,

where |(∂(x,z) / ∂(x,y))| is the absolute value of the Jacobian determinant of the transformation.

First, we solve Z = XY for y:

y = Z / X.

Next, we calculate the Jacobian determinant:

|(∂(x,z) / ∂(x,y))| = |(1 * Z / X²)|

                    = |Z / X²|

                    = Z / X² (since Z and X are always positive)

Now, we can find the joint density function of X and Z:

f(x,z) = f(x,y) / |(∂(x,z) / ∂(x,y))|

       = (xe^(-x)(y+1)) / (Z / X²)

       = x²e^(-x)(y+1) / Z

Substituting y = Z / X, we have:

f(x,z) = x²e^(-x)((Z / X) + 1) / Z

      = x²e^(-x)(Z + X) / (XZ)

Therefore, the density function of X = XY is f(x,z) = x²e^(-x)(Z + X) / (XZ).

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Answer:

It's exponential function, the base is 5.

Horizontal asymptote is y = 0

At x = 0, y = 3

x = 1, y = 15

Step-by-step explanation:

Answer:

1/3x

Step-by-step explanation:

Slope: 1/3x

y-intercept: 6

Slope: Rise/Run = 1/3

Slope intercept Form: y= 1/3x+6

The evaluations of the function f(x) = x² + 9x - 3 at the given values are:

a. f(-5) = -23

b. f(x+3) = x² + 15x + 33

c. f(-x) = x² - 9x - 3

To evaluate the function f(x) = x² + 9x - 3 at the given values, let's go through each part:

a. f(-5):

To find f(-5), substitute x = -5 into the function:

f(-5) = (-5)² + 9(-5) - 3

= 25 - 45 - 3

= -23

b. f(x+3):

To find f(x+3), substitute x+3 into the function:

f(x+3) = (x+3)² + 9(x+3) - 3

= x² + 6x + 9 + 9x + 27 - 3

= x² + 15x + 33

c. f(-x):

To find f(-x), substitute -x into the function:

f(-x) = (-x)² + 9(-x) - 3

= x² - 9x - 3

Therefore, the evaluations of the function f(x) = x² + 9x - 3 at the given values are:

a. f(-5) = -23

b. f(x+3) = x² + 15x + 33

c. f(-x) = x² - 9x - 3

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Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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In ABCD a square with four congruent sides and four congruent angles, ΔBAD is congruent to ΔBCD by the ASA rule.

In mathematics, the term "congruent" refers to figures and forms that may be flipped or rearranged to match up with other ones. These forms can be mirrored to produce related shapes.

A triangle is a closed polygon with three line segments that intersect at each of its three angles. When the sides and angles of two triangles match, the triangles are said to be congruent. Hence, two triangles may be placed side by side and angle by angle on top of one another.

According to the ASA rule, two triangles are said to be congruent if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle.

In the given figure ABCD is a square.

In ΔBAD and ΔBCD

∠B ≅ ∠B ----Common Angle

∠A ≅ ∠A  ------Each of 90° angle

Side BD ≅ Side BD ----Common Side

So we can say that ΔBAD ≅ ΔBCD -----(ASA rule)

Hence, ΔBAD is congruent to ΔBCD by the ASA rule.

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The x-intercept of the equation 70x - 12y = 350 is (5, 0).

The x-intercept of an equation is where a line crosses the x-axis. The x-intercept of an equation is the value of x when y equals to zero.

Therefore, let's find the x-intercept of the equation as follows:

70x - 12y = 350

Hence,

12y = 70x - 350

Let's substitute y = 0 in the equation

12(0) = 70x - 350

70x = 350

divide both sides by 70

x = 350 / 70

x = 5

Therefore, the x-intercept is (5, 0)

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Answer:

One expression equivalent to B + B + B + B + B that is a product of a coefficient and a variable is 5B, where 5 is the coefficient and B is the variable

Step-by-step explanation:

Answer:

The answer is -729/2

Step-by-step explanation:

Given that X1, X2, ..., Xy are i.i.d according to the probability density function fx such that EX = 2. Define Y = 1 if X > 2 and Y = 0 otherwise.

Find P(Y = 1).

Given that X1, X2, ..., Xy are i.i.d according to the probability density function fx such that EX = 2. Thus the probability density function is,fx = 1/2  for x ∈ (0, 2) fx = 0  elsewhere

Therefore, P(X > 2) = ∫2∞ fx dx= ∫2∞ 0 dx= 0Now, P(Y = 1) = P(X > 2) = 0

Hence, the required probability is 0. Therefore, the correct option is (D) 0.

Likelihood is a proportion of the probability of an occasion to happen. Numerous occurrences cannot be completely predicted. Using it, we can only predict the chance of an event happening, or how likely it is to happen.

The probability of an event occurring is determined by dividing the total number of possible outcomes by the number of favorable outcomes. A coin flip is the simplest illustration. There are only two outcomes that can occur when flipping a coin; either heads or tails is the outcome.

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The sample proportion will have the smallest p-value is for Z=3 that can be calculated by taking comparisons between Z=1,2 and 3.

Null hypothesis H0= P=0.45

Alternative hypothesis H1= P>0.45

The null hypothesis assumes that any form of distinction among the selected traits which you see in a fixed of records is because of chance. For example, if the predicted income for the playing recreation are truely same to 0, then any distinction among the common income withinside the records and 0 is because of chance.

H=1000, x1=500, x2=600 and x3=700

P1= x1/h=500/1000=0.5

P2=x2/h=600/1000=0.6

P3=x3/h=700/1000=0.7

Z1=P1-P/(P(1-P)/h)61/2 = 0.5-0.45/(0.45*0.55/1000)^1/2 = 0.32

P-value for Z1=P(Z1>0.32)=0.37748

Z2=P2-P/(P(1-P)/h)61/2 = 0.6-0.45/(0.45*0.55/1000)^1/2 = 0.95

P-value for Z2=P(Z2>0.95)=0.17106

Z3=P3-P/(P(1-P)/h)61/2 = 0.7-0.45/(0.45*0.55/1000)^1/2 = 1.59

P-value for Z3=P(Z3>0.95)=0.055917

Thus, the smallest P-value will be for Z3.

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The chemiosmotic synthesis of ATP is a process that occurs in the mitochondria and involves the production of ATP through the flow of protons (H+) across a membrane. This process is driven by a proton gradient established by the electron transport chain.

During cellular respiration, electrons are passed along the electron transport chain, pumping protons from the mitochondrial matrix into the intermembrane space. This creates a proton gradient across the inner mitochondrial membrane. The protons then flow back into the matrix through ATP synthase, a complex enzyme embedded in the membrane. As the protons move through ATP synthase, their energy is used to phosphorylate ADP to ATP.

In summary, the chemiosmotic synthesis of ATP relies on the flow of protons across a membrane, driven by the electron transport chain. This process enables the coupling of electron transfer with ATP synthesis, providing cells with the energy currency required for various biological processes.

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Which of the following statements accurately describes the chemiosmotic synthesis of ATP?

The range in which 95% of the scores lie is between 75 and 95.

According to the Empirical Rule: For a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% of the data falls within 2 standard deviations of the mean, and approximately 99.7% of the data falls within 3 standard deviations of the mean.

So, about 95% of the scores lie between 75 and 95. T

This is because the mean score is 85 and one standard deviation is 5, so one standard deviation below the mean is 80 (85-5) and one standard deviation above the mean is 90 (85+5).

Two standard deviations below the mean are 75 (85-2*5) and two standard deviations above the mean is 95 (85+2*5).

Therefore, the range in which 95% of the scores lie is between 75 and 95.

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The given proof follows the symmetric property of angle congruence. Therefore, option C is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Given that,

       Statements            Reasons

1. ∠ABC≅∠DEF           1. Given

2. m∠ABC=m∠DEF     2. Definition of congruent angles

3. m∠DEF=m∠ABC     3. Symmetric property of equality

4. ∠DEF≅∠ABC          4. Definition of congruent angles

The symmetric property says that if one geometric shape is congruent to another, than the second shape is also congruent to the first. The symmetric property of congruence says that for any angles A and B, if ∠A≅∠B then ∠B≅∠A.

Therefore, option C is the correct answer.

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