CAN I HAVE AN ANSWER PLEASE?
Jasmine is traveling at 45 miles per hour. At that same rate, which of the following proportions could be used to find how long it will take her to travel 135 miles?

1. 45 miles / 1 hour = n hours/135 miles
2. 45 miles/n hours = 135 miles/1 hour
3. 45 miles /1 hour = n miles /135 hours
4. 45 miles/1 hour = 135 miles/n hours

Answer:

c. 256π/3 units^3

Step-by-step explanation:

Recall that the volume V of a sphere with radius r is given as

V = 4 /3πr3

Hence from the image given, the radius of the sphere which is the distance from the center to any point on the circumference is 4 units hence the volume

V = 4/3 * π * 4^3

= 4/3 * π * 64

= 4*64/3 * π

= 256π/3 units^3

Option c is right

Answer:

Surrounding area of pyramid = area of a side face multiplied by 4

Step-by-step explanation:

The area of a side face is the area of the triangle:

\(\frac{1}{2} *6*4\) = 12

So the perimeter of the pyramid is:

12×4=48

Explanation: because the side faces have the same area.

Answer:

13 hours to earn the same amount and 14 hours to earn more

Step-by-step explanation:

Test the hypothesis step of the scientific method is he performing.

Making conjectures (hypothetical explanations) is a step in the scientific method. Predictions are then derived from the hypotheses as logical conclusions, and experiments or actual observations are conducted based on those predictions.

Since at least the 17th century, the scientific method—an empirical approach to learning—has guided the advancement of science. Since one's interpretation of the observation may be distorted by cognitive presumptions, it requires careful observation and the application of severe skepticism regarding what is observed.

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Answer:

the 3rd one.

Step-by-step explanation:

-11 is the smallest number, followed by -1, the numbers are then listed correctly in an increasing order after that.

Answer:

the answer is C

Step-by-step explanation:

-11 is the smallest. 12 is the largest

Answer:

180⁰

Step-by-step explanation:

Since the angle of straight line is 180⁰

Answer:

A and B = 180 degrees

Step-by-step explanation:

this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.

The contrapositive of the given statement is “If their graph is a linear function, then the two variables are directly proportional”, option B is correct.

The contrapositive of a conditional statement switches the order of the clauses and negates them both. In general, the contrapositive of a conditional statement has the same truth value as the original statement.

It can be a useful tool in logic and proofs because it can help simplify the statement and make it easier to prove or disprove. For example, if we wanted to prove the original statement, we could instead prove its contrapositive, option B is correct.

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The complete question is:

What is the contrapositive of the conditional statement?

A) If their graph is not a linear function, then the two variables are not directly proportional.

B) If their graph is a linear function, then the two variables are directly proportional.

C) If two variables are not directly proportional, then their graph is not a linear function.

D) If their graph is a non-linear function, then the two variables are not directly proportional.

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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The matrix \(\left[\begin{array}{cc}a&-b\\b&a\end{array}\right]\) represents a dilation and rotation.

The representation of the matrix can be seen as follows;:

The matrix has the form of a 2D rotation matrix, which is given by

\($\left[\begin{array}{cc}\cos(\theta)&-\sin(\theta)\\sin(\theta)&\cos(\theta)\end{array}\right]$\)

where

Comparing this with the given matrix, we see that;

a = cos θ and

b = sin θ, or b = - sin θ.

Solving for θ gives;

θ = - sin⁻¹ (b)

So the matrix represents a rotation by an angle of  θ = - sin⁻¹ (b), combined with a dilation by a factor of;

√(a² + b²)

This dilation factor can be seen by noting that the matrix maps the unit circle to an ellipse with semi-axes of length √(a² + b²).

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The probability of selecting a human character randomly in the game is \(\frac{1}{3}\)

The probability that a human character will be chosen when the player selects a character randomly can be calculated by dividing the number of human characters by the total number of available characters.

There are 8 animal characters and 4 human characters, making a total of 12 characters to choose from. Therefore, the probability of selecting a human character randomly is:

P(Human) = Number of human characters / Total number of characters

P(Human) = 4 / 12

Simplifying this fraction, we find:

P(Human) = 1 / 3

Therefore, the probability of selecting a human character randomly is 1/3 or approximately 0.333.

In the given scenario, there are a total of 8 animal characters and 4 human characters, making a total of 12 characters to choose from. When a player selects a character randomly, each character has an equal chance of being chosen. Since there are 4 human characters, the probability of selecting one of them is determined by dividing the number of human characters (4) by the total number of characters (12).

When we simplify the fraction 4/12, we find that it is equal to 1/3.

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With 95% confidence, there is a statistically significant difference in the proportion of patients who developed polyps. Taking an aspirin a day appears to be effective in reducing the chance of developing subsequent polyps.

According to the study done by the Ohio State University Medical Center, a 95% confidence interval on the difference in proportions of the two groups [aspirin group (p1) minus non-aspirin group (p2)] was found to be -0.164 < p1 - p2 < -0.036. This means that the probability of the difference in the proportions of polyp development in the aspirin group and the non-aspirin group is between -0.164 and -0.036 with 95% confidence level. Since the interval doesn't contain zero, it indicates that there is a statistically significant difference in the proportion of patients who developed polyps between the two groups. Therefore, taking an aspirin a day appears to be effective in reducing the chance of developing subsequent polyps.

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Answer:

m = 2

Step-by-step explanation:

The given equation is :

8x – 4y - 9 = 0

The general equation of a line is given by :

y = mx+b ...(1)

here m is slope and b is y-intercept

Equation (1) can be written as :

8x – 4y = 9

Dividing both sides by (-4)

\(\dfrac{8x}{-4}-\dfrac{4y}{-4}=\dfrac{9}{-4}\\\\-2x+y=-\dfrac{9}{4}\\\\y=2x+\dfrac{-9}{4}\) ...(2)

Comparing equation (1) and (2), we get :

m = 2

Hence, the slope of the line is 2.

Answer:

132°

Step-by-step explanation:

Quadrilateral ABCD is inscribed in a circle,

So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

\( \implies \: x \degree + (3x - 12) \degree = 180 \degree \\ \\ \implies \: (4x - 12) \degree = 180 \degree \\ \\ \implies \: 4x - 12 = 180 \\ \\ \implies \: 4x = 180 + 12 \\ \\ \implies \: 4x = 192 \\ \\ \implies \: x = \frac{192}{4} \\ \\ \implies \: x = 48\\\\\)

(3x-12)° = (3*48 - 12)° = (144 - 12)° = 132°

\(\implies \: m\angle B = 132\degree\\\\\)

Answer:

To find the distance between the two places where the rainbow appears to hit the ground, we need to find the roots of the quadratic r(x) = (x+15)(x-47)/52.

The roots of a quadratic equation are the values of x that make the quadratic equal to zero. So, we need to solve the equation:

r(x) = 0

Substituting the expression for r(x), we get:

(x+15)(x-47)/52 = 0

This equation is true if and only if one of the factors is zero. Therefore, we need to solve the equations:

x + 15 = 0 or x - 47 = 0

The solutions to these equations are:

x = -15 or x = 47

Since we are interested in the distance between the two places where the rainbow appears to hit the ground, we need to take the absolute value of the difference between these two solutions:

|47 - (-15)| = 62

Therefore, the distance between the two places where the rainbow appears to hit the ground is 62 miles.

Step-by-step explanation:

Answer:

2/4 or 1/2

Step-by-step explanation:

The solution is, 1/16 is the probability that you land on blue on your first spin and on yellow on your second spin.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

There are four (4) colors to choose from.

The number of sample space is equal to 4.

With the condition given in this item, the probability of landing on blue on the first spin is equal to 1/4.

Similarly, the probability of landing on yellow on the second spin is 1/4.

so, we get,

           P = (1/4)(1/4)  

             P = 1/16

Answer: 1/16 is the probability that you land on blue on your first spin and on yellow on your second spin

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complete question:

A spinner can land on either red, blue, green, or yellow (the wedges are the same size). you spin twice. what is the probability that you land on blue on your first spin and on yellow on your second spin?

The dimensions of the field should be 125m by 100m to enclose the maximum area.

To solve this problem, we can use the fact that the area of a rectangle is given by A = lw, where l and w are the length and width of the rectangle, respectively. Since the field is to be subdivided into four congruent plots, we can express the width in terms of the length as w = (1/4)(l).

We can then use the fact that the total length of fencing available is 6000m to set up an equation for the perimeter of the rectangle, which is given by P = 2l + 5w. Substituting w with (1/4)(l), we get P = 2l + 5((1/4)(l)) = (9/2)l.

Solving for l in terms of P, we get l = (2/9)P. Substituting this expression for l into the equation for the area, we get A = (1/4)(l)(w) = (1/4)(l)((1/4)(l)) = (1/16)l^2.

We can now express the area in terms of P as A = (1/16)((2/9)P)^2 = (4/81)(P^2). To find the maximum area, we can take the derivative of A with respect to P and set it equal to zero, which gives dA/dP = (8/81)P = 0. This implies that P = 0 or P = 81/8. Since P cannot be zero, we have P = 81/8.

Substituting this value of P back into the equation for l, we get l = (2/9)(81/8) = 18.75. Finally, substituting l and w = (1/4)(l) into the equation for A, we get A = (1/16)(18.75)(4.6875) = 117.1875. Therefore, the dimensions of the field should be 125m by 100m to enclose the maximum area.

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Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

Answer: 300 square meters

Step-by-step explanation: Since 12/6 is 2 hours we can just do 25x12 to get 300 square meters.

Hope this helps! :)

Answer:

300 square meters.

Step-by-step explanation:

2 divided by 1/6 equals 12.

12 x 25 equals 300.

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

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The dimensions are 156m and 65m

The perimeter is 442m.

The formulae that can be used to determine the dimensions when the ratio of the dimensions are given and the diagonal is given are:

h = \(\frac{H}{\sqrt{ 1 + r^{2} } }\)

w = \(\frac{Hh}{\sqrt{ 1 + r^{2} } }\)

Where:

h = \(\frac{169}{\sqrt{ 1 + 0.41667^{2} } }\) = 156m

w = \(\frac{(169 x 156)}{\sqrt{ 1 + 0.41667^{2} } }\) = 65m

The perimeter of a rectangle = 2(length + width)

2(156 + 65)

2(221) = 442m

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Answer:

87.75 sq ft

Step-by-step explanation:

(12 × 9) - (4.5 × 4.5) = 87.75

A 10 cm deep beaker mercury will have the same hydrostatic pressure as 133.5 cm deep water.

The hydrostatic pressure exerted by a fluid is given by:

P = ρ.g.h

Where:

ρ = fluid density

g = gravitational acceleration

h = fluid depth

We want to compare 2 types of fluid, water and mercury.

Divide both sides of the equation by h

P/h = ρ.g

Since pressure is held constant, then the fluid density is inversely proportional to the fluid depth.

Therefore,

h_water : h_mercury = ρ_mercury : ρ_water

Given that:

ρ_mercury = 13.55 ρ_water and h_mercury = 10 cm

Then,

h_water : 10 = 13.55 ρ_water : ρ_water

h_water : 10 = 13.55 : 1

h_water = 13.55 × 10 = 135.5 cm

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Answer:

The slope of the line represented by the following equation is -4

y-intercept: −1

Answer:

-14°F

Step-by-step explanation:

Hey there!

Answer:

step 4

Step-by-step explanation:

Do you understand now?

I think the Answer is 76 in^2

Hope this helps