A car traveled 200 miles in 4 hours.What was the car´s average rate of speed in miles per hour
Answers
Answer:
50 miles per hour
Step-by-step explanation:
You want to put the total amount over the hours.
Related Questions
An architect is drawing a floor plan for a garage on a coordinate plane. the
architect has located three corners of the garage at a(0, 0), b(4, 6), and c(7, 4).
if the garage must be in the shape of a rectangle, what are the coordinates of
point d? justify your answer.
1. an architect is drawing a floor plan for a
garage on a coordinate plane. the
architect has located three corners of the
garage at
a(o, 0),b (4,6), and c (7, 4).
if the garage must be in the shape of a
rectangle, what are the coordinates of
l.
Answers
Using the equation of lines with the slopes and the properties of the rectangle, The coordinates of D are (7,2).
What do you mean by a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides. The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
What do you mean by slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.
A is at (0, 0) and B is at (4, 6), the slope of the line is (6 - 0) / (4 - 0) = 3/2.
Since the line that connects C and D is perpendicular to the line connecting A and B, the slope of the line connecting C and D is also -2/3.
The y-coordinate of C is 4, we can write the equation of this line as y = -2/3x + 4. We know that the x-coordinate of D is 7, so we can substitute this value into the equation to find the y-coordinate of D.
This gives us y = -2/3(7) + 4 = -14/3 + 4 = -10/3 + 12 = 2.
Thus, the coordinates of D are (7, 2).
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Given the function h(x)=-2√x, which statement is true about h(x)?
O The function is decreasing on the interval (0,0).
O The function is decreasing on the interval (-∞, 0).
O The function is increasing on the interval (0, ∞).
O The function is increasing on the interval (-∞, 0).
Answers
Answer:
The statement "The function is decreasing on the interval (0, ∞)" is true about h(x).
To see why, let's take the derivative of h(x) and examine its sign:
h(x) = -2√x
h'(x) = -2/(2√x) = -1/√x
Since √x is always positive, h'(x) is negative for all x > 0. This means that h(x) is decreasing on the interval (0, ∞).
Therefore, the correct answer is: The function is decreasing on the interval (0, ∞).
3 6 units right and 5 units up
4. 8 units left and 1 unit down
Answers
Answer:
3: P'= (6, 5) Q'= (11, 3) R'= (3, 11)
4: P'= (-8, -1) Q'=(-3, -3) R'= (-12, 5)
Step-by-step explanation:
The question is the explanation basically. Just move the points 6 units right and 5 units up for 3, and move the points 8 units left and 1 unit down for 4.
(I hope that the two questions are called 3 and 4, and it isn't "36 units right" or "4.8 units left)
A new E music service offers downloadable songs by subscription $15 per month plus one for each downloaded song how much will it cost to download X songs in a month
Answers
Answer:
$15+x
x in dollars
Step-by-step explanation:
Subscription per month=$15
Cost of each downloaded song per month=$15 + 1
If x number of songs are downloaded in a month
The cost of downloading x songs= $15 + x
Where,
$15 = fixed cost ( subscription)
x= variable cost( each unit of songs downloaded)
If 20 songs are downloaded in a month.
The cost of downloading the 20 songs
=$15+$20
=$35
Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (in mmHg) are listed below. Find the range, variance, and standard deviation for the given sample data. If the subject's blood pressure remains constant and the medical students correctly apply the same measurement technique, what should be the value of the standard deviation?
Answers
Answer:
\(Range=14\)
\(\sigma^2 =32.4\)
\(\sigma = 5 .7\)
The standard deviation will remain unchanged.
Step-by-step explanation:
Given
\(Data: 136, 129, 141, 139, 138, 127\)
Solving (a): The range
This is calculated as:
\(Range = Highest - Least\)
Where:
\(Highest = 141; Least = 127\)
So:
\(Range=141-127\)
\(Range=14\)
Solving (b): The variance
First, we calculate the mean
\(\bar x = \frac{1}{n} \sum x\)
\(\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)\)
\(\bar x = \frac{1}{6} *810\)
\(\bar x = 135\)
The variance is calculated as:
\(\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2\)
So, we have:
\(\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2]\)
\(\sigma^2 =\frac{1}{5}*[162]\)
\(\sigma^2 =32.4\)
Solving (c): The standard deviation
This is calculated as:
\(\sigma = \sqrt {\sigma^2 }\)
\(\sigma = \sqrt {32.4}\)
\(\sigma = 5 .7\) --- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.
Multiply. Express your answer in simplest form.
1
5
х
8
6
Answers
Answer:
1290
Step-by-step explanation:
15 x 86 = 1290
suppose that 23.4% of car engines will fail if they have not had routine maintenance in the past five years. if routine maintenance is given to 22 cars, what is the probability that exactly 10 will not have engine failure? round your answer to six decimal places.
Answers
The probability that exactly 10 out of 22 cars receiving routine maintenance will not have engine failure is approximately 0.221
We can model this situation using a binomial distribution, where,
The probability of success (an engine not failing) is p = 1 - 0.234 = 0.766 (assuming routine maintenance reduces engine failure).
The number of trials is n = 22 (the number of cars receiving routine maintenance).
We want to find the probability of getting exactly k = 10 successes (cars without engine failure).
The formula for the probability mass function of a binomial distribution is:
P(k successes) = (n choose k) × p^k × (1 - p)^(n - k)
where (n choose k) = n! / (k! × (n - k)!) is the number of ways to choose k items from a set of n items.
Plugging in the values, we get
P(10 successes) = (22 choose 10) × 0.766^10 × 0.234^12
≈ 0.221
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A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m long?
Answers
Answer:
40m
Step-by-step explanation:
28÷7=4
10 x 4= 40
Someone please help????
Answers
Answer:
11.68 m^2
Step-by-step explanation:
area of triangle = 1/2(b)(h)
b = 7.3, h = 3.2
1/2(7.3)(3.2) = 11.68
Answer:
11.68m
firstly remember area of triangle is half multiplied by base multiplied by height
Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25). What value, written as a decimal, should Lena use as the common ratio? 1.0 1.5 2.5
Answers
Answer:
Common Ratio = 2.5
Step-by-step explanation:
Given
Points: (1, 1), (2, 2.5), (3, 6.25)
Required
Determine the common ratio
The points can be rewritten as:
x --- f(x)
1 ---- 1
2 --- 2.5
3 ---- 6.25
The data under the x column are the domain of the function and in this case, they are not needed;
To calculate common ration, Lena should use data in function f(x) column
Common ratio is calculated by dividing a term by the previous term;
Hence;
Common Ratio = 2.5/1 or 6.25/2.5
Common Ratio = 2.5 or 2.5
Notice that, the results are the same;
Hence, the usable common ratio is 2.5
Answer:
c
Step-by-step explanation:
edge2020
what is 7,234,000,000,000,000 written in scientific notation helpp me plss!?
Answers
Answer:
7.234x10^14 that would be it in scientific notation
Why do you multiply both sides by 4/3 next?
Answers
Answer:
see explanation
Step-by-step explanation:
let x be the number of candles , then
\(\frac{3}{4}\) x + 3 = 12 ( subtract 3 from both sides )
\(\frac{3}{4}\) x = 9 ( multiply both sides by 4 to clear the fraction )
3x = 36 ( divide both sides by 3 )
x = 12
that is 12 candles were shipped
now, multiplying by 4 then dividing by 3 is equivalent to
multiplying both sides by \(\frac{4}{3}\)
Marvin Shipped 12 Candles
━━━━━━━━━━━━━━━━━━━━━━
\(\begin{gathered} \\ \; \; \sf{\rm{Given \: {\begin{cases} \sf Total_{(Weight)} = 12 \; pounds \\ \\ \sf Weight_{(Box)} = 3 \; pounds \\ \\ \sf Weight_{(Each \; Candle)} = \dfrac{3}{4} \; pound \end{cases}}}} \\ \\ \end{gathered}\)
Let ::
Number Of Candles = x
ㅤ
Then ::
Weight Of All Candles
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{Weight_{(Each \; Candle)} \times Number_{(Candle)}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\dfrac{3}{4} \times x}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\dfrac{3x}{4}}} \\ \\ \end{gathered}\)
Now ::
Candles Marvin Shipped
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{Weight_{(All \; Candles)} + Weight_{(Box)} = Total_{(Weight)}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\dfrac{3x}{4} + 3 = 12}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\dfrac{3x}{4} = 12 - 3}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{\dfrac{3x}{4} = 9}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{3x = 9 \times 4}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{3x = 36}} \\ \\ \end{gathered}\)
\(\begin{gathered} \\ \; \; \sf{:\longmapsto{x = \cancel{\dfrac{36}{3}}}} \\ \\ \end{gathered}\)
\(\begin{gathered} \; \; :\longmapsto{\boxed{\orange{\frak{x = 12}}}} \; \pmb{\bigstar} \\ \\ \end{gathered}\)
\(\bf{\pmb{\underline{\rule{170pt}{5pt}}}}\)
What is the linear function equation represented by the graph?
please hurrrrrryyyy!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
f(x)=
Answers
Answer:
f
f(x) =-3/4x +2
Step-by-step explanation:
You have points (0,2) and (-4,5) Soo the slope is 5-2/-4-0 = 3/-4
Then f(x) = mx+b. So f(x) = -3/4x + 2 because the y intercept is (0,2).
Answer:
f(x)= -x+2
Step-by-step explanation:
Looking at the graph gives us this information:
SLOPE
you can see that for every 1 unit over, it goes one unit down.
slope = rise / run which would be -1/1 which is also just -1
INTERCEPT
the y intercept is 2
equations are typically written in y=mx+b form (where m is the slope and b is the intercept)
so we have y = -1x +2
you don't need to write the 1 because -1x is the same as -x
sof(x)= -x+2
The map is going to be painted at the entrance of the campsite. It will be enlarged by a scale factor of 4. How many square inches will the map cover?
Answers
I need a picture of the map duh.
- Chilio
Find the image of the set S under the given transformation.
S = {(u, v) |o≤u≤3,0≤v≤2}; x = 2u + 3v, y = u-v
Answers
Under the given transformation, the image of the set S = {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2} is the set {(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}.
To find the image of the set S under the given transformation, we substitute the bounds of S into the equations for x and y and determine the resulting range of values.
The set S is defined as {(u, v) | 0 ≤ u ≤ 3, 0 ≤ v ≤ 2}. We will find the image of each boundary point and then determine the range of values for the transformed set.
For u = 0 and v = 0:
x = 2(0) + 3(0) = 0
y = 0 - 0 = 0
The point (0, 0) is transformed to (0, 0).
For u = 3 and v = 0:
x = 2(3) + 3(0) = 6
y = 3 - 0 = 3
The point (3, 0) is transformed to (6, 3).
For u = 0 and v = 2:
x = 2(0) + 3(2) = 6
y = 0 - 2 = -2
The point (0, 2) is transformed to (6, -2).
For u = 3 and v = 2:
x = 2(3) + 3(2) = 12
y = 3 - 2 = 1
The point (3, 2) is transformed to (12, 1).
Now, let's consider the range of transformed points for the x and y coordinates.
For the x-coordinate, we observe that the minimum value is 0 (from point 1) and the maximum value is 12 (from point 4). Therefore, the range of x is [0, 12].
For the y-coordinate, we observe that the minimum value is -2 (from point 3) and the maximum value is 3 (from point 2). Therefore, the range of y is [-2, 3].
Combining the ranges of x and y, we have the image of set S as:
{(x, y) | 0 ≤ x ≤ 12, -2 ≤ y ≤ 3}
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heyy, I really need help with this please. it's trigonometry I think. the drawing is for the first 2 in level 7. thank youu
Answers
Step-by-step explanation:
cos70°=6/x
x=6/cos70°
x=17,54
x=y
tan70°=h/6
h=tan70°×6
h=16,48
What is the volume of the sphere below?
Answers
Answer:
c
Step-by-step explanation:
volume of sphere=4/3 π r³=4/3 π(4)³=256/3 π units³
Answer:
c
Step-by-step explanation:
a pex
if f(x) = 3x -8, find f(6)
Answers
Answer:
f(6) = 3×6 - 8 = 10Step-by-step explanation:
To understand this, you have to take the f(6) as a x-value(input) and it will give output as 10.First multiply 6 by 3 and subtract 8 from it.I am sure that this helps ☺️❤️Please mark me as the brainliestAnswer:
The answer is 10
Step-by-step explanation:
f(x) = 3x - 8; f(6)
f(6) = 3(6) - 8
f(6) = 18 - 8
f(6) = 10
Thus, The answer is 10
-TheUnknownScientist 72
the figure below. help me please
Answers
(-1)×(-1)×(-1)×(2m+1) times where m is a natural number,is equal to?
1. 1
2. -1
3. 1 or-1
4. None
Answers
(-1)×(-1)×(-1)×(2m+1) when m is a natural number is equal to 1.
As per the given question:(-1)×(-1)×(-1)×(2m+1) when m is a natural number. When multiplying two negative numbers the result is always positive. Hence, here we have three negative numbers hence the product of these three numbers will be negative(-1)×(-1)×(-1) = -1
When this is multiplied with (2m+1), we get (-1)×(-1)×(-1)×(2m+1) = -1×(2m+1) = -2m-1
To find the value of m, we need to set -2m-1 = 0
Solving this equation will give the value of m = -1/2
We know that as per the given question, m is a natural number and natural numbers are positive integers.
Hence, we cannot have a negative value of m.
Therefore, we can conclude that (-1)×(-1)×(-1)×(2m+1) when m is a natural number is equal to 1.
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what is v-8.21= 2.5 ? aleks question
Answers
Hello !
Isolate v and solve the equation\(v - 8.21 = 2.5\\\\v - 8.21 \boxed{+ 8.21} = 2.5 \boxed{+ 8.21}\\\\v = 2.5 + 8.21\\\\v = 10,71\)
Have a good day !
(+41)x(+16)
pleasderr
Answers
Answer:
\(656\)
EASY QUESTION!
Australia have 34 medal in TOTAL. They have 9 gold medals in that total so, what percent of Australia's medals are gold??
Answers
determine whether the underlined number is a statistic or a parameter.
in a study of all 2462 seniors at a college, it is found that 55% own a vehicle.
choose the correct statement below.
a. statistic because the value is a numerical measurement describing a characteristic of a population
b. parameter because the value is a numerical measurement describing a charateristic of a sample
c. parameter because the value is a numerical measurement describing a characteristic of a population
d. statistic because the value is a numerical measurement describing a characteristic of a sample
Answers
Since the value is a numerical measurement representing a property of a sample, it is statistical.
Given that a sample of workers is chosen, and it is discovered that 55% of them possess a car.
Let's first clarify the distinction between a parameter and a statistic before moving on to the questions.
Parameters are numerical summaries of population statistics. However, statistics are numerical summaries of sample data.
Sample is a subset of the population; as such, it is just a small percentage of the whole population.
The percentage of the sample of employees in this case is 55%. Statistic refers to a numerical representation of data about a sample.
The value is statistical since it is a numerical measurement that describes a property of a sample.
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Rewrite the sum of 12 and 8 as a product of the LCM of the two numbers and another sum.
Answers
Answer:
2 or 4
Step-by-step explanation:
10. WEATHER On average, the circular eye of a hurricane is about 15 miles in diameter. Gale winds can affect an area up to 300 miles from the storm's center. A satellite photo of a hurricane's landfall showed the center of its eye on one coordinate system could be approximated by the point (80, 26).
a. Write an equation to represent a possible boundary of the hurricane's eye.
b. Write an equation to represent a possible boundary of the area affected by gale winds.
Answers
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
Circle Equation
The standard equation of a circle is given by:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
Given that diameter = 15 miles, hence radius = 15/2 = 7.5. Also, center = (80, 26)
The equation of circle is:
(x - 80)² + (y - 26)² = 7.5²
The equation to represent a possible boundary of the hurricane's eye is (x - 80)² + (y - 26)² = 7.5²
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It takes Audrey 35 hour to paint 25 square yards of wood to be used for making shelves.
How many square yards can she paint in 1 hour?
Answers
Answer:
0.71428571428 square yards
Step-by-step explanation:
Divide: 25 divided by 35=0.71428571428
Hope I helped!! :)
Sorry if it's wrong! :(
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one fourth plus ten sixteenths
Answers
Answer:
fourteen-sixteenths
Step-by-step explanation:
Answer:
7/ 8
(Decimal: 0.875)
Step-by-step explanation:
1/4+10/16
1/4+5/8 (simplfy into simpliest terms)
2/8+5/8 (find the common denominator)
2+5/8 (add the numerators)
Answer=7/8
The function f(x) is defined in the interval (0,5) by 0 0 2 € (0, 1) f(x) = 1 & € 115, 16) 02 € (15,5) Find the Fourier sine series in the form akc f(x) = Busin 5 k=1 Find the coefficients Bk. Use pi for . BR = symbolic expression
Answers
The Fourier sine series of the given function f(x) is computed in the interval (0,5) and is expressed in the form of Bk. The coefficients Bk are obtained as π/2, 0, π/4, 0, π/20 for k=1,2,3,4,5 respectively.
To compute the Fourier sine series of f(x), we need to first find the odd extension of f(x) in the interval (-5,5). Since f(x) is defined only in the interval (0,5), we can extend it to the interval (-5,0) by defining f(x) as an odd function with respect to the origin. This means that f(-x) = -f(x) for x in (0,5), and f(x) = -f(-x) for x in (-5,0).
Using this odd extension, we can express f(x) as a Fourier sine series in the interval (-5,5) as:
f(x) = Summation from k=1 to infinity of Bk \(sin(k*\pi *x/5)\)
where Bk is given by:
Bk =\(2/5\int\limits^5_0{ f(x) sin(k*\pi *x/5) } \, dx\)
Using the definition of f(x) in the given intervals, we can compute the values of Bk for k=1,2,3,4,5. The coefficients Bk are obtained as π/2, 0, π/4, 0, π/20 respectively. Thus, the Fourier sine series of f(x) in the interval (0,5) is given by:
\(f(x) = (\pi /2 )sin(\pi x/5) +( \pi /4) sin(3\pi x/5) + (\pi /20) sin(5\pi x/5)\)
This means that we can represent the function f(x) in the interval (0,5) using a sum of sine functions of different frequencies, each weighted by a corresponding coefficient.
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finishing a long race, a runner puts on a burst of speed 15 meters from the finish line. two seconds later, she comes to a stop 3 meters past the finish line. what was her average speed during those two seconds?
Answers
The average speed during the two seconds in which the runner moved from 15 meters from the finish line to 3 meters past the finish line is 9 m/s
The average speed of the runner can be determined by using the following formula;
speed = distance ÷ time
As she moved from 15 meters from the finish line to 3 meters past the finish line in 2 seconds, the total distance covered in these 2 seconds by her can be calculated as follows;
distance = 15 meters + 3 meters
distance = 18 meters
Now substituting the values for distance and time in the formula;
speed = 18 / 2
speed = 9 m/s
Hence the average speed of the runner during the two seconds is calculated to be 9 m/s.
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