an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours.Wich has a graph that best represents this rate?
Answers
If an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H best represents this rate.
The graphs are attached
Given that the oil-well contractor drills a shaft 7 meters deeper into the ground every 2 hours,
hence the rate at which the shaft drills = 7 meter / 2 hours = 3.5 meters per hour
Since the drill goes into the ground, hence the rate is negative that is -3.5 meters per hour
The slope (rate of change) of a line (m) is given by:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
a) For graph F, the line passes through the point (0,0) and (10, -20). Hence:
Slope of the line , [tex]m = \frac{-20 - 0}{10 - 0}[/tex]
Slope of the line is - 2 meters per hour
b) For graph G, the line passes through the point (0,0) and (10, -70). Hence:
Slope of the line, [tex]m = \frac{-70 - 0}{10 - 0}[/tex]
Slope of the line is -7 meters per hour
c) For graph H, the line passes through the point (0,0) and (10, -35). Hence:
Slope of the line, [tex]m = \frac{-35 - 0}{10 - 0}[/tex]
Slope of the line is -3.5 meters per hour
d) For graph J, the line passes through the point (0,-3.5) and (10, -3.5). Hence:
Slope of the line, [tex]m = \frac{-3.5 - 3.5}{10 - 0}[/tex]
Slope of the line is 0 meters per hour.
Therefore, if an oil-well contracted drills a shaft 7 meters deeper into the ground every 2 hours, then Graph H best represents this rate.
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Related Questions
One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a
large amount of pink paint using 14 cups of red paint.
a. How many batches of pink paint did she make?
Answers
Answer:
7
Step-by-step explanation:
14/2=7
Step by step explanation
1 batch=2cups of red and 7 cups white
14 cups of red paint = 7 batches
Find the product of 21 and the difference between one whole number 1/2 and -1/2
Answers
The product of 21 and the difference between one whole number 1/2 and -1/2 is; 42
What is the product of the two numbers?We want to find the product of 21 and the difference between one whole number 1/2 and -1/2. This can be expressed as;
21 * (1¹/₂ - (-¹/₂))
Let us first solve the bracket out using the order of operations rule named PEMDAS which stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction to get;
1¹/₂ - (-¹/₂)
= 1¹/₂ + ¹/₂
= 2
Thus;
21 * (1¹/₂ - (-¹/₂)) = 21 * 2
= 42
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. If g= 12 and h = 19, what is the value of3h(h-g)?A. 13B. 43C. 252D. 399
Answers
Solution
For this case we have the following:
g = 12 and h=19
And we want to find 3h(h-g)
If we replace we got:
3*19 (19-12) =57*7=399
Then the answer would be:
D. 399
the domain of a function is all of the second value of ordered pairs
true or false?
Answers
Answer:
False
Step-by-step explanation:
Domain is the x-axis, range is the y-axis. In an ordered pair, the x-values go first, not second.
Alicia has 10 paintings and wants to hang them side by side on the wall. How many ways can she hang the paintings?
Answers
The total number of ways she can hang the painting is 720 after applying the concept of permutation and combination.
What are permutation and combination?The variety of possible arrangements of a set is its permutation however order is important in permutations but not in combinations.
It is given that:
Alicia wants to place her ten paintings side by side on the wall.
We can get the factorial of 6 and use that knowledge to calculate how many ways there are to multiply 6 by multiplying it by all positive integers that are more than or equal to that number, in this case, 6.
Alicia can arrange her six paintings:
6! = 6x5x4x3x2x1
6! = 720
Thus, the total number of ways she can hang the painting is 720 after applying the concept of permutation and combination.
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2.2.30QuesticFind a quadratic function that includes the set of values below.(0,6), (2,8), (3,0)The equation of the parabola is y=0
Answers
The form of quadratic is:
[tex]y=ax^2+bx+c[/tex]Since (0,6) is given, we know c = 6, thus we have:
[tex]\begin{gathered} y=ax^2+bx+c \\ ax^2+bx+6 \end{gathered}[/tex]Point 2 is (2,8), replace x and y and find equation:
[tex]\begin{gathered} y=ax^2+bx+6 \\ 8=a(2)^2+b(2)+6 \\ 8-6=4a+2b \\ 4a+2b=2 \end{gathered}[/tex]Putting point 2 (3,0), we have:
[tex]\begin{gathered} y=ax^2+bx+6 \\ 0=a(3)^2+b(3)+6 \\ 9a+3b=-6 \end{gathered}[/tex]Solving the 2 simulatenous equations for a and b, we get:
a = -3
b = 7
Now u have all the values, a, b, and c.
Just put it in the general form of parabola :
[tex]y=-3x^2+7x+6[/tex]y = -3x^2 + 7x + 6
<1 is in a triangle work <4 and a 53° angle . what is the sum of the measures of these two angles
Answers
In the small triangle
There are a right angle and an acute angle of measure 53 degrees
Since the sum of the angles of a triangle is 180 degrees
Then 90 + 53 + < 1 = 180 degrees
Then 143 + < 1 = 180
Subtract 143 from both sides
Then < 1 = 37 degrees
Since <2 is an exterior angle of the small triangle
Then its measure = the sum of <1 and 90 degrees
Then < 2 = 37 + 90 = 127 degrees
In the triangle of angles 2, n3 and 30
< 2 + < 3 + 30 = 180
127 + < 3 + 30 = 180
Add 127 and 30
157 + <3 = 180
<3 = 23
The answer is < 2 = 127 degrees and < 3 = 23 degrees
Tristan is building steps up to a deck that is 1 yards above the ground. The steps must all be the same height. If he wants to make 8 steps, how high should he make each step?
Answers
Tristan should make 8 pieces of length 0.125 yards each to make a steps to the deck 1 yards above.
What is division?Division is breaking a number up into an equal number of parts. Mathematically, we can write "[a] divided by [b]" as a ÷ b. The division algorithm is given by -
D = dq + r
[D] - Dividend
[d] - Divisor
[q] - Quotient
[r] - remainder
Given is Tristan who is building steps up to a deck that is 1 yards above the ground. The steps must all be the same height an he wants to make 8 steps.
Total number of steps to be made = [n] = 8
Height of deck = [h] = 1 yard.
Now, we have to divide 1 yard into 8 equal parts. Therefore, assume
that -
A = 1 ÷ 8
A = 1/8
0.125
We get the length of each step to be 0.125 yards.
Therefore, Tristan should make 8 pieces of length 0.125 yards each to make steps to the deck 1 yards above.
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Ben has £24
He gives £16 to Rhys.
a) What fraction of the £24 does Rhys get?
Give your answer in its simplest form.
b) What fraction of the £24 does Ben have now?
Give your answer in its simplest form.
Answers
Answer:
[tex]\frac{2}{3}[/tex] and [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
(a)
fraction Rhys gets is [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]
(b)
Ben is left with £24 - £16 = £8
then fraction Ben has left is
[tex]\frac{8}{24}[/tex] = [tex]\frac{1}{3}[/tex]
In an office building, 42 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
Answers
Let the total number of offices in the building be x.
We can represent the information provided in the question mathematically as:
[tex]30\text{ \% of x = 42}[/tex]Solving for x:
[tex]\begin{gathered} \frac{30}{100}\text{ }\times\text{ x = 42} \\ \frac{30x}{100}\text{ = 42} \\ \end{gathered}[/tex]Cross-Multiply:
[tex]\begin{gathered} 30x\text{ = 4200} \\ \text{Divide both sides by 30} \\ \frac{30x}{30}\text{ = }\frac{4200}{30} \\ x\text{ = 140} \end{gathered}[/tex]Hence, there are 140 offices in the building.
Answer: 140 offices
If you roll a 6-sided die 72 times, what is the best prediction possible for the number of times you will roll a one?
Answers
The prediction of outcomes of the number of 1 is 12
How to determine the number of times?The given parameters are
Device = A die
Number of rolls = 72
From the question, the die is six-sided
This means that the sample space is
S = {1, 2, 3, 4, 5, 6}
So, the probability of rolling a 1 is
P(1) = 1/6
When the die is rolled 72 times, the number of outcomes of 1 is
Outcomes = P(1) * n
Where n = 72
So, we have
Outcomes = 1/6 * 72
Evaluate
Outcomes = 12
Hence, the prediction is 12
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School Supplies Pencils $0.25 each Notebooks $2.50 each Backpacks $32 each- . Hugh bought x notebooks. Write an expression for the cost of the notebooks.
Answers
Pencils: $0.25 each
Notebooks: $2.50 each
Backpacks: $32 each
The cost of the notebooks (C) must be equal to the price of each notebook (2.50) multiplied by the number of notebooks bought (x)
C = 2.50x
If you could please help me with this it makes no sence to me.
Answers
Answer:
A = 7986 m²
Step-by-step explanation:
the field is in the form of a trapezium.
the area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular distance between the bases b₁ and b₂
here h = 66 , b₁ = 102, b₂ = 140 , then
A = [tex]\frac{1}{2}[/tex] × 66 × (102 + 140) = 33 × 242 = 7986 m²
Answer:
7986 m²
Step-by-step explanation:
The field geometric shape is a trapezoid whose bases are 102 m and 140 m and height of 66m
The equation for the area of a trapezoid is given by
[tex]A = \dfrac{a + b}{2} h\\\\[/tex]
where a and b are the two sides and h is the height
Here a = 102, b = 140 and h = 66
Substitute these values directly into the equation for area
[tex]A = \dfrac{102 + 140}{2} \times 66\\\\A = (102 + 140) \times \dfrac{66}{2}\\\\\\102 + 140 = 242\\\\\dfrac{66}{2} = 33\\\\\\A = 242\ \times 33 = 7986\; m^2[/tex]
Are the triangles similar! If yes state how?are the triangles similar if yes State how
Answers
Part 1
Remember that
If two triangles are similar , then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Verify the proportion
38.5/14=22/8
38.5*8=14*22
308=308 -----> is true
that means
the triangles are similarPart 3
Verify the proportion
22/9=30/12=25/10
2.44=2.5=2.5 ------> is not true
that means
the triangles are not similar4/5 equals blank over 100
Answers
We solve as follows:
[tex]\frac{4}{5}=\frac{x}{100}\Rightarrow x=80[/tex]So, the value of "blank" is 80.
Simplify the fractiom
7/21
4/38
Answers
2. 4/38 = 2/19
This diagram shows a pre-image A ABC, and its image, A A"B'C", after a series of transformations. Select from the drop-down menus to correctly complete the statements. C A A A ABC is X Choose. B to becomeA ABC'. Then A A'BC' is C C Choose.. to become A A"B"C" . Because the transformations are Choose... the pre- image and image are Choose..
Answers
The pre-image ABC in order to become the reflection at A'B'C' is reflected across the x-axis.
The pre-image ABC in order to become A"B"C" both are CONGRUENT, because the image and pre-image are BOTH RIGID.
**Please note that the rules for the transformation from ABC to A"B"C" were not provided**
50 points again!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
f(x)=|5x|
f(2)= |5(2)| Substitute 2 for x
f(2)= 10 Answer
Answer:
f(2) = | 5 • 2 | = | 10 | = 10
Step-by-step explanation:
Replace x with 2 then solve with the absolute value
For each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible.
Answers
Part A.
From the given table, we can see that the variable occupation is a Categorical variable becasue the occupation can divide a set of people into groups. Then, the level of measurement is Nominal because the occupation describes the objects by labels, with no quantitative value.
Part B.
Temperature is a Quantitave variable because we can measure the temperature of an object. Regarding the level of measurement, the temperature is an Interval variable because zero temperature is not the lowest possible temperature.
Part C.
The price is a Quantitative variable because the price is a numerical value with a meaningful order. Regarding the level of measurement, the price is a Ratio variable because it has a true zero, meaning that we can take ratios of values.
HELP PLEASE!!! WILL AWARD BRAINLIEST xx
Answers
Based on the graph of the function shown, we can logically deduce the following:
Domain = -2 ≤ x < 0.Range = 0 ≤ x < 2.The relation is a continuous function.How to identify the range and domain of this graph?The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
Similarly, the horizontal extent of a graph represents all domain values and they are also read and written from smaller to larger numerical values, and from the left of the graph to the right.
By critically observing the graph of the given function shown above, we can reasonably and logically deduce the following:
The domain is equal to -2 ≤ x < 0.The range is equal to 0 ≤ x < 2.In conclusion, the function which this graph represent is a continuous function because both the domain and range is defined for all set of values in the interval above.
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Nicholas is typing a book report at an average of 30 words per minute. Which equation could Nicholas use to find tea the amount the amount of time in minutes he will spend typing his report has W words?
Answers
The equation could Nicholas use to find tea the amount the amount of time in minutes he will spend typing his report has W words is w = 30t .
What is speed?In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity. Velocity and speed are denoted by the letters v and v, respectively (boldface). The symbol has a bar over it for average values. How swiftly something is going, being done, or something that is moving quickly is measured in terms of speed. Driving an automobile 45 miles per hour is an illustration of speed. Someone cleaning a room in 10 minutes would be an example of quickness. the definition of speed. a direction or speed at which an object's location changes.
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Which number comes first
5
1/3 -1. √3. - 12/21
6
3.4
Answers
-3.4 is the number which will come first.
What is simplifying?To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. the act of simplifying something such that it is simpler to carry out or understand, or the thing that is the product of this simplifying process: The group offers suggestions for streamlining business processes. This grossly oversimplifies what actually transpired.
Given Data
5, 1/3 -1. √3. - 12/21,6,3.4
Simplifying,
5, [tex]\frac{1}{3}[/tex] - 1, √3. -[tex]\frac{12}{21}[/tex], 6, -3.4
5, -0.6 , [tex]\sqrt{3}[/tex] , -0.5 ,6,-3.4
-3.4 is the number which will come first.
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400 in savings for 20 years compounded 5% monthly
Answers
Answer:1,086
Step-by-step explanation: Initial Deposit
$400
Contributions
$0
Investment Time Span
20
Estimated Rate of Return
5.00%
A hiker on the Appalachian Trail planned to increase the distance covered by 10% each day. After 7 days, the total distance traveled is 75.897 miles.Part A: How many miles did the hiker travel on the first day? Round your answer to the nearest mile and show all necessary math work. (4 points)Part B: What is the equation for Sn? Show all necessary math work. (3 points)Part C: If this pattern continues, what is the total number of miles the hiker will travel in 10 days? Round your answer to the hundredths place and show all necessary math work. (3 points)
Answers
Answer with explanation: A hiker has increased his distanced covered by 10% each day since the start, the total distance covered at the end of the 7th day is 75.897mile:
(A) The number of miles on the first day:
[tex]\begin{gathered} \text{let x be the distance covered on first day:} \\ x,1.1x,1.21x,1.331x,\ldots. \\ \text{ This is a Geomatric sequence:} \\ S_n=\frac{a(r^n-1)}{r-1} \\ a=x \\ r=\frac{1.1x}{x}=1.1 \\ r=1.1 \\ n=7 \\ S_n=\frac{x((1.1)^7-1)}{1.1-1}\Rightarrow(0) \end{gathered}[/tex]Substituting the total miles covered on the 7th day in equation(0) gives:
[tex]\begin{gathered} 75.897=\frac{x((1.1)^7-1)}{1.1-1} \\ 7.5897=0.9487171x \\ x=7.9999612107761101807904590314647 \\ x\approx7.9999mi \end{gathered}[/tex]Therefore on the first day, the hiker covered about 7.99 miles:
(B) The equation for the S:
[tex]\begin{gathered} S_n=\frac{a(r^n-1)}{r-1} \\ S_n=\frac{7.99((1.1)^n-1)}{1.1-1}\Rightarrow(1) \end{gathered}[/tex]The equation (1) gives the number of miles hiked on the nth day.
(C) miles covered on 10th day:
The number of miles covered on the 10th day is calculated using the equation(1) as follows:
[tex]\begin{gathered} S_n=\frac{7.99((1.1)^n-1)}{1.1-1}\Rightarrow n=10 \\ S_{10}=\frac{7.99((1.1)^{10}-1)}{1.1-1} \\ S_{10}=127.340mi \end{gathered}[/tex]The number of miles covered on the 10th day is 127.340miles.
About the formula used:
[tex]\begin{gathered} S_n=\frac{a-ar^n}{1-r}\Rightarrow\text{ Your formula} \\ \text{Multiply by:} \\ \frac{(-1)}{(-1)} \\ \therefore\Rightarrow \\ S_n=\frac{(-1)}{(-1)}\times\frac{(a-ar^n)}{(1-r)}=\frac{(-1)\cdot(a-ar^n)}{(-1)\cdot(1-r)}=\frac{-a+ar^n}{-1+r}=\frac{ar^n-a}{r-1} \\ S_n=\frac{ar^n-a}{r-1}=\frac{a(r^n-1)}{r-1} \\ S_n=\frac{a(r^n-1)}{r-1}\Rightarrow\text{ My formula} \end{gathered}[/tex]In conclusion, the formula used is the same as the one that was required to be used.
The two plots below show the heights of some sixth graders and some seventh graders:Sixth Graders+52 53 54 55 56 57Height (inches)Seventh Graders52 53 54 55 56 57Height (inches)The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.0. Approximately how manytimes the variability in the heights of the seventh graders is the variability in the heights of the sixth graders? (Round all values to the tenthsplace.)
Answers
From the information given,
MAD for the heights of some sixth graders = 1.2
MAD for the heights of some seventh graders = 1
Number of times = MAD of data1/MAD of data 2 = 1.2/1
The answer is 1.2
A country's education department reported that in 2015, 64.8% of students enrolled in college or a trade school within 12 months of graduating high school. In 2017, a random sample of 179 individuals who graduated from high school 12 months prior was selected. From this sample, 112 students were found to be enrolled in college or a trade school. Complete parts a through c. a. Construct a 90% confidence interval to estimate the actual proportion of students enrolled in college or a trade school within 12 months of graduating from high school in 2017.
The confidence interval has a lower limit of
and an upper limit of
(Round to three decimal places as needed.)
Answers
Answer:
Step-by-step explanation:
Find an equation in point-slope form for the line having the slope m=-3 and containing the point (4,2).
Answers
The equation of a line in point-slope form is given by
[tex]y-y_1=m(x-x_1)[/tex]Where
[tex]\begin{gathered} m=-3 \\ y_1=2 \\ x_1=4 \end{gathered}[/tex]Thus, if we substitute the above values into the equation:
[tex]y-2=-3(x-4)[/tex]Please help me work this out and explain it.
Answers
Answer:
a) DE = 15 cm
b) AB = 6 cm
Step-by-step explanation:
Explanation #a)
- Relating the triangle ABC with triangle DCE, a scale factor fomula is used;
[tex]{ \rm{ \frac{ \bar{DE}}{ \bar{BC} }} = \frac{ \bar{CE}}{ \bar{AC} } } \\ \\ { \rm{ \frac{\bar{DE}}{5} = \frac{24}{8} }} \\ \\ { \rm{\bar{DE}} = \frac{24 \times 5}{8} } \\ \\ { \rm{\bar{DE}} = 15 \: cm}[/tex]
Explanation #b)
[tex]{ \rm{ \frac{ \bar{CE}}{ \bar{AC}} } = \frac{ \bar{CD}}{ \bar{AB} }} \\ \\ { \rm{ \frac{24}{8} = \frac{18}{\bar{AB}} }} \\ \\ { \rm{\bar{AB} = \frac{18 \times 8}{24} }} \\ \\ { \rm{\bar{AB} = 6 \: cm}}[/tex]
- Therefore, the scale factor is 2, triangle CDE = 2ABC
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \red{ \mathfrak{ \: \: creed}}}}[/tex]
Need help with a statistics question please!
Answers
Write the correct equation for the following statement.
The quotient of x and seven is twelve
Answers
Answer:
Step-by-step explanation:
x/7=12