please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?

We have the following:

In this case, to know the value of the total expense, we must multiply the price of the fish by the amount of fish that he bought like this:

Therefore, the answer is the option C. 34.02

The area of ΔOPQ is approximately 18.9 square inches, rounding off to nearest 10th.

To find the area of ΔOPQ, we can use the formula:

Area = (1/2) * base * height

We know that p = 9.5 inches, q = 7.6 inches, and ∠O = 31°.

Now, using  trigonometry the height h of the triangle can be found using the sin function.

              sin(θ) = perpendicular/hypotenuse

perpendicular = hypotenuse* sin(θ)

                        = 7.6 * sin(31°)

                        ≈ 3.98 inches

Now, we can use the formula for the area:

Area = (1/2) * base * height

Putting in the values, we get:

Area = (1/2) * 9.5 * 3.98

Area ≈ 18.93 square inches

To know more about area of triangle refer to:

brainly.com/question/30249066

#SPJ4

The required probability of a sum of 5 or sum of 7 and the first die shows a 3 or the sum of the result is 6 or 8 are 5/18 and 1/18 receptively.

Probability is just the way that logical something is to occur. Whenever we're uncertain about the result of an occasion, we can discuss the probabilities of specific results — how likely they are. The investigation of occasions administered by likelihood is called statistics.

Two fair dice are thrown then the number of  possible way is 6×6 = 36

a) a sum of 5 or sum of 7 :-

The total possible way for dice occurs sum 5 or sum 7 is (1, 4), (2, 3), (3, 2), (4, 1), (1, 6), (2, 4), (3, 4), (4, 3), (5, 2), (6, 1).

So, the total number possible way for dice occurs sum 5 or sum 7 = 10.

Probability = 10/36 = 5/18

Hence, the probability is 5/18.

b) The first dice shows 3 or the sum of the result is 6 or 8 :-

As, first dice shows 3 we have fixed 3 in first dice or results sum is 6 or 8 then second dice possibilities only consist two number either 3 or 5,

So, total possible ways for first dice shows 3 or sum of result is 6 or 8 is (3, 3), (3, 5).

There are only two ways,

Therefore, probability = 2/36 = 1/18

Hence, the probability is 1/18.

To know more about probability visit

brainly.com/question/11234923

#SPJ4

Answer:

62.6m/h

Step-by-step explanation:

to find speed you do distance divided by time which in this question would be 156.5 divided by 2.5

and the answer to that is 62.6

Answer:

62.6 mph

Step-by-step explanation:

156.5  / 2.5 = 62.6 mph

For mixed speed journeys finding average is to divide the total distance travelled by the total time spent traveling. This will give you your average speed. . So if travelled 50 mph for 3 hours, 60 mph for 2 hours, and 70 mph for 1 hour, your average speed was about 57 mph.  

Answer:

D

Step-by-step explanation:

Replace R1 with 1 and R3 with 0 you have -2(1)+0 which equals 0 and that matches matrix II. Repeat the process with the other numbers in R1 and R3 and they all come out equal therefor the answer is D.

The distance between the points is 5√2 units.

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,

Given here: The co-ordinates of two points  A(-4,5), B(1,0)

Distance can be calculated using the formula derived from Pythagoras theorem. In coordinate geometry, the distance formula is √[(x₂ – x₁)^2 + (y₂– y₁)^2].

Where (x₁,y₁), (x₂,y₂) are the points on the plane.

Thus we have

\(d = \sqrt {\left( {-4 - 1 } \right)^2 + \left( {5 - 0 } \right)^2 }\)

d=√50

d=5√2

Hence, The distance between the points is 5√2 units.

Learn more about the co-ordinate system here:

https://brainly.com/question/29762404

#SPJ1

Answer: $3090.675

Step-by-step explanation: If you need to round the last number you can but I wasn't sure if I should round it or not.

Answer:

42

Step-by-step explanation:

i = prt

i = 300 × 0.07 × 2

i = 42

Answer:

i = 42

Step-by-step explanation:

I = PRT/100

where I = Simple interest

P = Principal

R = Rate (%)

T = Time (years)

I = (300 x 7 x 2) ÷ 100

I = 4200 ÷ 100

I = 42

Answer:

B

Step-by-step explanation:

The overall relapse rate from this study would be =58.3%.

To calculate the relapse rate , the the proportion of all the individuals that have a relapse should be converted to a percentage as follows:

The total number of individuals that has relapse= 28

The total number of individuals under study = 48

The percentage = 28/48 × 100/1

= 58.3%

Learn more about percentage here:

https://brainly.com/question/24339661

#SPJ4

Answer:

15,300 ft or 2.9 miles

Step-by-step explanation:

Distance = Rate * Time (but rate and time must be in the same units)

convert hours to minutes

1 hr * 60 min/hr = 60 min

then

D = 255 ft/min * 60 min

D = 15,300 ft

if you want miles, convert ft to miles (5280 ft per mile)

15,300 ft * 1 mi/5280 ft

2.9 mi

Answer: 111, 113, 115 and 117.

Step-by-step explanation:

The expanded form is to write the number as the sum of the values of its digits

Given the number : 39.857

so,

The expanded form is:

The product of 3 and 2i is 6i. This means that the real component of the product is 0, and the imaginary component  value is 6.

The product of two complex numbers, such as 3 and 2i, can be calculated by multiplying their real and imaginary components separately. The real component of 3 is 3 and the imaginary component of 2i is 2. So, the real component of the product is 3 x 0 = 0, and the imaginary component is 2 x 3 = 6. Therefore, the product of 3 and 2i is 0 + 6i or 6i. This means that the real component of the product is 0, and the imaginary component is 6. To calculate the product of two complex numbers, simply multiply their real and imaginary components separately and add the results together.

step by step calculations

Real component of 3 x Real component of

2i = 3 x 0 = 0

Imaginary component of 3 x Imaginary component of

2i = 2 x 3 = 6

Therefore, the product is 0 + 6i or 6i.

Learn more about value here

https://brainly.com/question/18523098

#SPJ4

As the number of gallons increases so does the number of milkshake and vice versa. As such, this is a proportional relationship.

If 3/4 gallons of milk can be used to make 12 milkshakes, then 30 milkshake will be made from

= 30/12 * 3/4

= 5/2 * 3/4

= 15/8 gallons

Alternatively

If 3/4 gallons of milk can be used to make 12 milkshakes then 1 gallon of milk can be used to make

= 12 * 4/3

= 16 milkshakes

Hence 30 milk shakes will be made from

= 30/16 * 1

= 15/8 gallons of milk

internal angles of the polygon

angle a = 180 - 45 = 135°

angle b = 180 - 90 = 90°

angle c = 180 - 60 = 120°

angle d = 540 - 135 - 90 - 120 - 77 = 118°

angle e = 180 - 103 = 77 °

angle x = 180 - 118 = 62°

the polygon is not a regular polygon because the measure of its angles are different

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

Learn more about random sample here:

https://brainly.com/question/30759604

#SPJ11

The equation of the function whose graph is described as the shape of f(x) = x^3, but shifted 14 units to the right is g(x) = (x - 14)^3.

We need to write an equation for the function whose graph is described. The shape of f(x) = x^3, but shifted 14 units to the right is g(x).Let's see the solution.

The equation for the function whose graph is described is f(x - h), where h is the horizontal shift. As we know, the graph of f(x) = x^3 shifts h units to the right, and that's why the equation is f(x - 14).

Therefore, the function g(x) = (x - 14)^3, whose graph is described by shifting the graph of y = x^3 fourteen units to the right.

The function g(x) = (x - 14)^3 is the equation of the shifted function. If we apply the transformation, f(x - h), to the function f(x) = x^3, we get g(x) = (x - h)^3.

Here, we shift h units to the right by replacing x with (x - 14).It is important to note that g(x) has a horizontal shift of 14 units to the right, but it retains the shape of the original function f(x) = x^3. We can see the shift of the graph in the figure below:

Therefore, the equation of the function whose graph is described as the shape of f(x) = x^3, but shifted 14 units to the right is g(x) = (x - 14)^3.

To know more about equation  visit:

brainly.com/question/29657992

#SPJ11

The parametric equations for the line passing through the point (1,2) are: x = t and y = 2

To find the parametric equations of a line with a rectangular equation, we can first convert the rectangular equation into slope-intercept form and then use the slope and y-intercept to create the parametric equations.

Since we don't have a specific rectangular equation given in the question, I'll assume a general form of:

y = mx + b

where m is the slope and b is the y-intercept.

To find the slope, we can use the fact that the line passes through the point (1,2). We can choose any other point on the line to calculate the slope, but using the given point simplifies the calculation. We'll substitute x=1 and y=2 into the equation:

2 = m(1) + b

Simplifying:

2 = m + b

To find the y-intercept, we can substitute x=0 into the equation and use the fact that y=0 (since the line passes through the x-axis):

0 = m(0) + b

Simplifying:

b = 0

Now we have both m and b, so we can write the slope-intercept equation for the line:

y = mx

Substituting the value of b:

y = mx + 0

Simplifying:

y = mx

Finally, we can create the parametric equations using the parameter t:

x = t
y = mt

Substituting the value of m:

x = t
y = (2/t) * t

Simplifying:

x = t
y = 2

So the parametric equations for the line passing through the point (1,2) are:

x = t
y = 2

To know more about parametric equations  click on below link :

https://brainly.com/question/28537985#

#SPJ11

We can conclude that we are 96% confident that the true population mean falls within the calculated confidence interval.

To find the 96% confidence interval for the true population mean of 4-day-old infants, we can follow these steps:

Step a: State the Critical Values:

Since the sample size is large and the population standard deviation is known, we can use the Z-distribution. For a 96% confidence level, we need to find the critical Z-values. The critical Z-value for a two-tailed test with a 96% confidence level is found by subtracting (1 - 0.96)/2 from 1 and looking up the corresponding value in the standard normal distribution table. The critical Z-value for a 96% confidence level is approximately 1.96.

Step b: State the Margin of Error:

The margin of error is calculated by multiplying the critical Z-value by the standard deviation divided by the square root of the sample size.

Margin of Error = Z * (Standard Deviation / √(Sample Size))

Step c: Confidence Interval:

The confidence interval is calculated by subtracting and adding the margin of error to the sample mean.

Confidence Interval = (Sample Mean - Margin of Error, Sample Mean + Margin of Error)

To know more about mean,

https://brainly.com/question/32199554

#SPJ11

Answer:

the measure of the sixth interior angle is 75

Step-by-step explanation:

I hope tu is is correct and helpful

Answer:

option (1)

Step-by-step explanation:

f(x) - g(x)

= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis

= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms

= 7x² - 8x + 4

The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9

To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.

             Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦

Using the formula for Cramer's rule, we know that,

                       x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.

       Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦

Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦

Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|

                          Dx = -18

Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦

Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|

                            Dy = 10

Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦

Applying the Laplace expansion along the third column,

                              Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|

                         Dz = -24

Now we have the values of D, Dx, Dy and Dz.

Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4

Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.

Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

Learn more about Cramer's rule

brainly.com/question/30682863

#SPJ11

The matrix [ −2 4 4 10 12 6 ] can be modified to the second matrix by applying the row operation R 1 ​−R 2 ​→R 1​

We need to determine the row operation that transforms the matrix [ −2 4 4 10 12 6 ] into the matrix [ −1 0 10 14 6 6 ] using the following information:

[ −2 4 4 10 12 6 ]−[ 1 4 −2 10 −6 6 ]= [ −1 0 10 14 6 6 ]

We have to get a 1 in the first row, second column entry and we want to use row operations to do this.

We need to subtract 4 times the first row from the second row, so the row operation is R 1 ​−R 2 ​→R 1​.

Thus, the row operation that will convert the first augmented matrix into the second augmented matrix is R 1 ​−R 2 ​→R 1​.

Learn more about matrix from the given link

https://brainly.com/question/27929071

#SPJ11

Answer:

(a) Brief Solution: The null hypothesis (H0) is that the average weight loss of newborn babies in the hospital is equal to 7 ounces, while the alternative hypothesis (H1) is that the average weight loss is less than 7 ounces. The obstetrician's claim supports the alternative hypothesis.

Step-by-step explanation:

The null hypothesis (H0) assumes that there is no significant difference between the average weight loss of newborn babies in the hospital and 7 ounces. The alternative hypothesis (H1) suggests that there is a difference, specifically a lower weight loss.

To determine if there is enough evidence to support the obstetrician's claim, we can perform a one-sample t-test. Since the population standard deviation is known (1.3 ounces) and the sample size is 35, we can use the critical value method. By comparing the calculated test statistic (t-value) with the critical value from the t-distribution table at a significance level of 0.01, we can make a decision on whether to reject the null hypothesis or not.

To learn more about Hypothesis

brainly.com/question/28546522

#SPJ11

Answer:

24

Step-by-step explanation:

x = total sweets bought

total sweet eaten = x - 4

sweets left = 20

x - 4 = 20

combine like terms

x = 20 + 4

x = 24

Answer:

1) Given the equation y = 35(0.57)^x

a) Does this equation represent growth or decay? ______Decay_________

b) What is the rate of growth or decay? _______43%________

1-0.57=0.43 100x0.43=43%

c) What is the initial value? _____35________

d) Evaluate for x = 3

y=(35)(0.57)^(3)

=(35)(0.185193)

=6.481755

Answer:

There are 6 times as many blue beads as red beads.

Step-by-step explanation:

blue beads (2) times six is 12 (red beads)

Answer:

4v3

Step-by-step explanation: