A car travels at an average speed of 52 mph how many miles does a travel in four hours and 30 minutes 
The car travels 234 miles in 4 hours and 30 minutes at an average speed of 52 mph.
How to determine the number of miles travelledTo find the distance traveled, we can use the formula:
distance = speed x time
Where speed is given as 52 mph, and time is 4.5 hours.
So, the distance traveled is:
distance = 52 mph x 4.5 hours
Evaluate the products
distance = 234 miles
Hence, the car travels for a total of 234 miles for 4.5 hours
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12 and ⅔ divided by 4 and ½
Answer:
do it on a calculater
Step-by-step explanation:
but it equels 2 and 22║27
PLEASE HELP!!
THANKS
Answer:
I guess the answer is 5 and 8
Answer:
I think answer is 5 and 8
18 2 1 18 3 2 18 3 2 21 3 3 21 3 4 22 4 4 23 4 6 23 4 7 25 4 8 step 1 of 2 : find the p-value for the regression equation that fits the given data. round your answer to four decimal places.
P-value of less than 0.05 is typically considered statistically significant, indicating that the relationship between the variables in the regression equation is unlikely to be due to chance.
To find the p-value for the regression equation that fits the given data, you would need to conduct a regression analysis. This involves analyzing the relationship between the variables in the data set and determining whether there is a statistically significant relationship. Unfortunately, the data set you provided does not have any indication of what the variables are or what the regression equation is, so it is impossible to provide a specific answer to your question.
However, if you do conduct a regression analysis and obtain a p-value, you would round your answer to four decimal places as requested in the question. The p-value is a decimal value that represents the probability of obtaining the observed results if the null hypothesis is true. Based on the data provided, we first need to calculate the regression equation. However, the data seems to be presented in an unclear format. Please provide the data as pairs of x and y values, like this: (x1, y1), (x2, y2), (x3, y3), and so on. Once you provide the data in this format, I'll be happy to help you find the p-value for the regression equation, rounded to four decimal places.
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It costs $2.37 to paint one square foot of wall. You need to paint a wall that measures 864.5 square feet. It will cost to paint that wall. (Round your answer to the nearest hundredth)
a $204.88
b $2,048.87
c $2,048.86
d. $2,848.87
Answer:
B- hope this helps:)
Step-by-step explanation:
The total cost to paint 864.5 square feet of wall is $2,048.87.
It is given that the cost to paint one square foot of wall is $2.37.
We are asked to find the total cost to paint 864.5 square feet of wall.
What are the different place values in a given number with a decimal point?If we have a number that has a decimal point then we have two parts.
The whole number part and the fractional part.
After the decimal point, we will count the place value as tenths, hundredths, thousandths, and so on.
You can also see the given figure below.
We know that,
One square foot = $2.37.
Remember that Feet is the plural form of the foot.
We can write,
864.5 square feet = 864.5 x one square foot
Because in 864.5 square feet we have 864.5 one square foot.
And since one square foot cost $2.37.
864.5 square feet will cost 864.5 x 2.37 dollars.
Now,
864.5 x 2.37 = $2048.865.
Rounding to the nearest hundredth.
6 is in the hundredth place so we will round 86 to 87 since the number in the thousandth place is greater than 4.
Thus the total cost to paint a wall of 864.5 square feet is $2,048.87.
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Factor this polynomial expression. 2X2 + 12x + 18
A. 2(x+3)(x+3)
B. 2(x - 3)(x-3)
c. 2(x+3)(x - 3)
D. (2x + 9)(x+2)
\(\longrightarrow{\green{A.\:2 \: ( x + 3)(x + 3) }}\)
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)
\(2 {x}^{2} + 12x + 18\)
Taking 2 as common factor, we have
\( = 2 \: ( {x}^{2} + 6x + 9) \\ = 2 \: ( {x}^{2} + 3x + 3x + 9)\)
Next, we take \(x\) as common from first two terms and 3 from last two terms,
\( = 2 \: [x(x + 3) + 3(x + 3)]\)
Taking the factor \((x+3)\) as common,
\( = 2 \: ( x + 3)(x + 3)\)
\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}\)
Use the scalar curl test to test whether F(x, y) = (3x2 + 3y) 7 + (3x + 2y) ·
The vector field F(x, y) = (3\(x^{2}\) + 3y)i + (7 + 3x + 2y)j is not conservative, as its curl is non-zero.
Taking the curl of F, we get ∇ x F = (∂Fy/∂x - ∂Fx/∂y) = (3 - 3) i + (2 - 3) j = -i - j.
Since the curl of F is not zero (-i - j ≠ 0), we can conclude that F is not a conservative vector field.
The non-zero curl indicates the presence of a circulation in the vector field, which means that there are closed loops where the line integral of F along those loops is non-zero. This violates the condition for a vector field to be conservative, where the line integral around any closed loop should be zero.
Therefore, F(x, y) = (3\(x^{2}\) + 3y)i + (7 + 3x + 2y)j is not a conservative vector field.
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Question Four The Teaching Excellence and Library Department at Botho University carried out a survey to find out the time spent in the library by the university community. A random sample of 200 members was taken and the average time spent in the library was computed to be 30 minutes. From this case, find:
a) the population of interest (2 marks)
b) the sample (2 marks)
c) whether 30 minutes is a parameter or statistic, justify your answer. (2 marks)
MICROECONOMICS
(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.
a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.
b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.
c) In this case, 30 minutes is a statistic, not a parameter.
A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.
On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.
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Suppose that f(1) = 1, f(4) = 5, f '(1) = 3, f '(4) = 3, and f '' is continuous. find the value of 4 1 xf ''(x) dx.
Answer: b
Step-by-step explanation:
I think
Steve ordered plastic cases for storing his baseball cards. Each case has a length of 12 cm, a width of 6.5 cm and a height of 1.2 cm. What is the volume, in cubic centimeters, of one baseball card case?
When a factory operates from 6AM to 6PM, its total fuel consumption varies according to the formula f(t)=0.9t^3−0.1t^0.+14. Where f is the time in hours after 6 . AM and f(t) is the number of barrels of fuel oil. What is the average rate of consumption from 6 AM to noon? Round your answer to 2 decimal places.
The average rate of consumption function from 6 AM to noon is 26.13 barrels of fuel oil per hour, rounded to 2 decimal places.
The formula for fuel consumption is:
f(t) = 0.9t³ - 0.1t⁰ + 14
where t represents the time in hours after 6 AM, and f(t) represents the amount of fuel oil consumed in barrels.
Average rate of consumption from 6 AM to noon means finding the value of f(t) for t = 6 hours.
We can find the average rate of consumption by calculating the average of f(t) from 6 AM to 12 PM.
Here's how to solve the given problem:
Solve the given equation for t = 6:f(t)
= 0.9t³ - 0.1t⁰ + 14f(6)
= 0.9(6)³ - 0.1(6)⁰ + 14
= 156.8
Therefore, the fuel consumption for the first six hours is 156.8 barrels of fuel oil.
To calculate the average rate of consumption, we'll have to divide this amount by the total hours from 6 AM to noon, which is 6 hours.
Average rate of consumption from 6 AM to noon = 156.8 / 6
= 26.13
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A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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the sum of three consecutive number is 63 find the number
The sum of three consecutive number is 63, hence the number is 20.
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
Let x represent the number. The sum of three consecutive number is 63, hence:
x + (x + 1) + (x + 2) = 63
x = 20
The sum of three consecutive number is 63, hence the number is 20.
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Please someone solve this, this is my third time reposting this question so yea please be quick
Answer:
Step-by-step explanation:
to calculate mean add all the entries in a week ,then divide by 7(the number of days)
i give you hint
mean for week 1=(52+65+... +60)/7
Solve the equation for X. Give an exact solution if possible otherwise give an approximation to 3-decimal places. log,(8x + 2) = 3
The equation log(8x+2) = 3 can be rewritten in exponential form as 10^3 = 8x+2. Simplifying, we get:
1000 = 8x + 2
998 = 8x
x = 124.75
Therefore, the solution to the equation is x = 124.75, which is an approximation to 3-decimal places.
To verify the solution, we can substitute x = 124.75 back into the original equation and check if both sides are equal:
log(8(124.75) + 2) = log(1000)
log(1000) = 3
Since both sides are equal, we can conclude that x = 124.75 is indeed the solution to the equation.
Note that it is important to check the solution obtained from solving the equation as sometimes the solution may not be valid due to the domain of the function involved in the equation.
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25 POINTS!!! Please help with 12 and 13
Answer:
um
Step-by-step explanation:
Which product is equivalent to -7 × 25?
Answer:
-175
Step-by-step explanation:
Answer:
-175
Step-by-step explanation:
Calculators are very useful, :).
The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points (4,0) and (7,0) (0, 4) and (7,0) • (4,0) and (0,7) (0, 4) and (0,7) none of the above
Step-by-step explanation:
The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).
You have a 24-foot wide board. The board is cut into 10 equal sections. How
wide is each section?
Answer: ______ feet
Answer:
the board is 2.4 ft
Step-by-step explanation:
because 24/10 is 2.4
Please help this is due ❗️❗️❗️❗️❗️
Answer:
Step-by-step explanation:
\(19x^2y-4xy^2+5xy^2-16x^2y=\\3x^2y+xy^2=\\xy*(3x+y)\)
Please answer!!!!!!
Answer:
(this isnt a mathematics question, it's science, btw)
Indeed, you are correct. It is 1. I think.
Because you get one allele from each parent, to make up 2 alleles per offspring.
Hope that helps!
Lines $m_{1}$, $m_{2}$, $l_{1}$ and $l_{2}$ are coplanar, and they are drawn such that $l_{1}$ is parallel to $l_{2}$, and $m_{2}$ is perpendicular to $l_{2}$. If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below?
Answer: 140 degrees
Step-by-step explanation:
Because m2 is perpendicular to l1, the bottom angle made from m2 and l1 is a right angle = 90 degrees. The angle vertical to 1 = 50 degrees. Thus, the angle made from both of these is equal to 140 degrees. Because l1 is parallel to l2, <2 is congruent to this angle, and thus equals 140 degrees.
Wow, that would be much easier if the angles were labeled.
Hope it helps <3
Answer:
angle = 140 degrees
Step-by-step explanation:
Given:
All lines coplannar.
L1 || L2
m2 perpendicular to L1
angle 1 = 50 degrees
Solution
Refer to attached diagram
angle 4 = 90 degrees ........... given
angle 3 = 180 - angle 4 - angle 1 = 180 - 90 - 50 = 40 degrees .... angles on a line
angle 2 + angle 3 = 180 degrees ............. sum interior angles between parallel lines L1 and L2
=>
angle 2 = 180 - angle 3 = 180 - 40 = 140 degrees.
need help on these questions. Help anyone, please!
Step-by-step explanation:
a linear function is defined as
y = ax + b
the variable x is only occurring with the exponent of 1.
this represents a straight line in a graphic representation (hence the name "linear").
if the exponent of the variable x is not 1, then it is not a linear function
P : y = 3/x + 2³
it is not linear.
the exponent of x = -1, as 1/x = x^-1. -1 is different to 1, which would be needed as exponent of x to make it linear.
Q : y = (1/3)x² + 3
it is not linear.
the exponent of x = 2. and 2 is different to 1, which would be needed as exponent of x to make it linear.
If a rectangular cross-section with coordinates at (1, 1), (1, 4), (3, 4) and (3, 1) is rotated about the line y = 1, what will be the resulting three-dimensional object? cone cylinder sphere pyramid
Answer:
Step-by-step explanation:
Comment
The first thing you ought to notice is that the original shape is a rectangle, with 2 of the y coordinates of the 4 points of 1. What that statement means is that two of the points (1,1) and (3,1) both sit on the line y = 1. they don't move. The other two points do move and they form a circular shape. So what you are going to get is a cylinder.
Answer: cylinder
Answer: 345
Step-by-step explanation: the alls
If you reflect a point from quadrant IV over the x axis, where will the
new point be located. *
Answer:
Quadrant I
Step-by-step explanation:
Quadrant IV (bottom right corner) reflects over the x axis into the top right corner or Quadrant I
2. Select all transformations that must take any point A to any point B.
A. Rotation of 180° around A
B. Rotation of 180°around B
C. Rotation of 180° around the midpoint of segment AB
D. Reflection across the line AB
E. Reflection across the perependicular bisector of segment AB
F. Translation by the directed line segment AB
G. Translation by the directed line segment BA
The given transformation of reflection, rotation and translation are rigid transformation
The transformation that must take any point A to any point B are;
Rotation of 180° around the midpoint of segment ABReflection across the perpendicular bisectorTranslation by the directed line segment ABReason:
Question: The given quadrilaterals ABCD and A'B'C'D' are congruent
Required; To select all transformation that must take a point A to point B
Solution:
Rotation of 180° around the midpoint of segment ABA rotation of 180° about the midpoint of segment AB will change the places of points A and B
A(x, y) → R₁₈₀ → A'(-x, -y)
Let the coordinates of the origin be the midpoint of segment AB, and let (x, y) represent the coordinate of the point B(x, 0) we have;
∴ The coordinates of point A is A(-x, 0), which gives;
A(-x, 0) → R₁₈₀ → A'(x, 0) = point B
Therefore a rotation about the midpoint of AB must take point A to point B
Reflection across the perpendicular bisectorThe reflection of a point (x, y) about y-axis gives a point (-x, y), therefore, we have;
A(-x, 0) → Reflection across the y-axis → A'(x, 0) = point B
Therefore, a reflection across the perpendicular bisector of the line AB must take the point A to point B
Translation by the directed line segment ABA translation along the directed line segment AB of point A(-x, 0) 2·x units right gives;
A'(-x + 2·x, 0) = A'(x, 0) = Point B
Therefore, the transformations that must take any point A to any point B are;
Rotation of 180° around the midpoint of segment AB
Reflection across the perpendicular bisector
Translation by the directed line segment AB
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5
Graph y = -2- 9.
y
9 -
8-
7
6-
4+
3-
2+
1+
-9-8-7 -6 -5 -4 3-2
2 3 4 5 6 7 8 9
-2 +
-3
-4+
-5
-6
-7+
-91
Answer:
6
Step-by-step explanation:
At a zoo, visitors may pay an additional fee to ride the train. At the beginning of the day, the cashier at the train station had $150 in change in her cash drawer. At the end of her shift there was $775.50 in the cash drawer. If each train ticket costs $2.25, how many tickets were sold? 278 tickets 776 tickets 626 tickets 150 tickets
Answer: 278 tickets.
Step-by-step explanation: Each ticket costs $2.25, and is sold as that constant rate. We know that the drawer ended with 775.50 and started with a minimum of $150. Using this information, we can construct an equation.
150 + 2.25x = 775.50
Using algebra, we can simplify the equation to find the answer. Whatever we do to one side must be done to both sides.
150 + 2.25x = 775.50
-150 -150
= 2.25x = 665.50
(2.25 / 2.25) x = (665.50 / 2.25)
= x = 278
what number lies between -2 and -3
Answer:
-2.5?
Step-by-step explanation:
Thank u to da person who is willing to help me will get this Brainliest! :3
Answer:
1) x=0.25, or 1/4, 2) 6.5
Step-by-step explanation:
1)
3(x-2) + 5x+4
3x - 6 + 5x + 4
8x - 6 + 4
8x + 2
/2 /2
x= 0.25
2)
4 - 2(x+7) - 3
4 - 2x - 14 + 3
4 - 2x - 17
-2x - 13
/-2 /-2
x = 6.5