Answer:
y-4=7(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-4=7(x-2)
Pls help me in my math assignment
Dividing Decimals up to 2 decimal places
What is the answer to this question
Answer:
y = 1/4x
Step-by-step explanation:
Find the volume of the triangle
The volume of the pyramid will be 14 cubic meters.
The volume of the pyramid is defined as the space occupied by the triangular pyramid in three-dimensional space.
The volume of a pyramid is a measure of the amount of space it occupies and is defined as one-third the product of the area of the base and the height of the pyramid.
Calculate the area of the base of the pyramid,
Area = 1/2 x 4 x 3
Area = 6 square meters
Calculate the volume of the pyramid as
Volume = 1/3 x ( 6 x 7 )
Volume = 14 cubic meters
Therefore, the volume of the pyramid will be 14 cubic meters.
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Find the equation of the line that passes through (2,-1) and is parallel to
y = 4 - 2x.
Leave your answer in the form y = mx + c
Answer:
2
Step-by-step explanation:
The following sample of n = 4 scores was obtained from a population with unknown parameters. Scores: 2, 2, 6, 2 a. Compute the sample mean and standard deviation. (Note that these are descriptive values that summarize the sample data.) b. Compute the estimated standard error for M. (Note that this is an inferential value that describes how accurately the sample mean represents the unknown population mean.)
a. The sample mean is 3 and the sample standard deviation is approximately 1.53.
b. The estimated standard error for the sample mean is 0.765.
a. The sample mean is:
mean = (2 + 2 + 6 + 2)/4 = 3
The sample standard deviation can be calculated using the formula:
s = √(sum((xi - mean)²)/(n - 1))
where xi represents each score in the sample. Plugging in the values, we get:
s = √((2-3)² + (2-3)² + (6-3)² + (2-3)²)/3
s = √(14/3)
s ≈ 1.53
So, the sample mean is 3 and the sample standard deviation is approximately 1.53.
b. The estimated standard error for the sample mean can be calculated using the formula:
SE = s/√(n)
where s is the sample standard deviation and n is the sample size. Plugging in the values, we get:
SE = 1.53/√4)
SE = 0.765
So, the estimated standard error for the sample mean is 0.765.
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Estimate the sum Sn of the series whose partial sums are graphed above.
Answer:
C. 15
Step-by-step explanation:
Edge 2021
A bacteria culture is growing at a rate of rt) 8.0.66 thousand bacteria per hour after thours. How much did the bacteria population increase during the first three hours? (Round your answer to three decimal places)
Given, a bacteria culture is growing at a rate of rt) 8.0.66 thousand bacteria per hour after t hours. We need to calculate how much the bacteria population increased during the first three hours.
Let, t = 3 (time in hours). Population increase during the first three hours is given by N(t) - N(0) = rt[t - 0].
Where r = 8.0.66 thousand bacteria per hour (given) N(0) = 0 (initial population)N(3) - N(0) = 8.0.66 × 3 (population increased rate × time in hours) N(3) - 0 = 24.198 thousand bacteria (by solving above equation).
Hence, the bacteria population increased 24.198 thousand bacteria during the first three hours.
Rounding off the answer to three decimal places, we get the population increase as 24.198.
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when an object 1.00 cm tall is placed 12 cm from a lens, the lens produces an upright image of the object that is 5.00 cm tall. what is the focal length of the lens?
The focal length of the lens is -15 cm. The negative sign indicates that the lens is a diverging lens.
To find the focal length of the lens, we can use the lens formula:
1/f = 1/v - 1/u
where f is the focal length of the lens, v is the image distance, and u is the object distance.
Given:
Object height (h_o) = 1.00 cm
Object distance (u) = 12 cm
Image height (h_i) = 5.00 cm
We can use the magnification formula to relate the object and image heights:
Magnification (m) = h_i / h_o
Given:
m = h_i / h_o = 5.00 cm / 1.00 cm = 5.00
Now, let's substitute the values into the lens formula:
1/f = 1/v - 1/u
Since the image is upright, the image distance (v) will be positive.
1/f = 1/v - 1/u
1/f = 1/v - 1/12
To find the value of v, we can use the magnification formula:
m = v / u
5.00 = v / 12
v = 5.00 * 12
v = 60 cm
Now, substitute the values of v and u into the lens formula:
1/f = 1/60 - 1/12
Simplifying:
1/f = (1 - 5) / 60
1/f = -4/60
1/f = -1/15
Taking the reciprocal of both sides:
f = -15 cm
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Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right * !
Answer:
Slope of function A is less than function B.
Step-by-step explanation:
Function A is y = 2x - 4 which has a slope of 2 ( the coefficient of x).
From the graph we see that the slope of Function B is 6/2 = 3 ( from the point (2,6)
Here are the first four terms of an arithmetic sequence 6 10 14 18 write an expression in terms of n for the nth term of this sequence
Answer:r:4(n-1) + 6 Step-by-step explanation:So, as you can see, the sequence seems to be increasing by 4 each time.So, start by finding n = 0.
Step-by-step explanation: Write an expression , in terms of n, for the nth term of this sequence. The nth term of a different arithmetic sequence in 3n + 5. (b) is 108 a term of this ...
help me find perimeter pls
Answer:
Step-by-step explanation:
\(\mathrm{Solution:}\\\mathrm{Let\ the\ radius\ of\ the\ semicircle\ be\ }r.\mathrm{\ Then,\ the\ length\ of\ the\ square\ is\ also\ }r.\\\mathrm{Now:}\\\mathrm{\pi}r=28\\\mathrm{or,\ }r=28/\pi\\\mathrm{Now\ the\ perimeter\ of\ the\ figure=}\pi r+3r=28+3(28/ \pi)=54.73cm\)
Plzzzz Help
In Main City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown. Choose True or False for each statement
a. true
b. false ( angles should equal 180 125+65=190)
c. true
d. true
e. true
Answer:
\(\boxed{\mathrm{view \: explanation}}\)
Step-by-step explanation:
a. True (vertically opposite angles are equal)
b. False (angles on a straight line add up to 180 degrees)
c. True (corresponding angles are equal)
d. True (supplementary angles are angles that add up to 180 degrees)
e. True (alternating interior angles are equal)
Describe the location of the point having the following coordinates.
nonzero abscissa, negative ordinate
Quadrant II or Quadrant IV
Quadrant I or Quadrant II
Quadrant I or Quadrant IV
Quadrant III or Quadrant IV
Answer:
Quadrant III and IV
Step-by-step explanation:
Nonzero means any number but 0.
If n(x)=4x-7, m(x) must be equal to which expression?
Step-by-step explanation:
the question is not understood plz clarify it
Answer:is 2 over 4|/x
Step-by-step explanation:
The function h defined by h(t)=(-4.9t + 29.4)(t+2) models the height in meters, of an object t seconds after it is launched. When will the object hit the ground?
Answer:
The time the object will hit the ground is 2 s.
Step-by-step explanation:
Given;
h(t) = (-4.9t + 29.4)(t + 2)
Open the bracket;
h(t) = -4.9t² + 29.4t -9.8t + 58.8
h(t) = -4.9t² + 19.6t + 58.8
When the object hit the ground, the final velocity will be zero;
\(v = \frac{dh}{dt} = 0 \\\\\frac{dh}{dt} = -9.8t + 19.6 = 0\\\\9.8t = 19.6\\\\t = \frac{19.6}{9.8} \\\\t = 2 \ s\)
Therefore, the time the object will hit the ground is 2 s.
Use the factorization A PDP 1 to compute Ak, where k represents an arbitrary integer. {a 7(b-a)} = {0 b }
A^k =
If A = PDP⁻¹ = , Then \(A^k = (PDP^{-1})^{k}\)
= \(PDP^{-1} PDP^{-1} .... PDP^{-1}\) = \(PD^{k}P^{-1}\)
since P⁻¹ P = I, the identity matrix.
The term identity matrix is also widely used, but the term identity matrix is now standard. The term identity matrix is ambiguous, as it is also used for any unit of a matrix and ring of all n × n matrices.
In some fields, such as group theory or quantum mechanics, the identity matrix is sometimes shown in bold, or called "id" (short for identity). Less commonly, some math books use U or E for identity matrix, which stands for "identity matrix" and the German word Einheitsmatriks, respectively.
So for A = PDP⁻¹ is given by:
\(\left[\begin{array}{ccc}a&0&\\7(a-b)&b&\ \end{array}\right] = \left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a&0&\\0&b&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)
we have
\(\left[\begin{array}{ccc}a&0&\\7(a-b)&b&\ \end{array}\right] ^k = \left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a&0&\\0&b&\ \end{array}\right] ^k \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)
= \(\left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a^k&0&\\0&b^k&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)
Then computing the matrix multiplication, we have:
\(\left[\begin{array}{ccc}1&0&\\7&1&\\\end{array}\right] \left[\begin{array}{ccc}a^k&0&\\0&b^k&\ \end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right] = \left[\begin{array}{ccc}a^k&0&\\7a^k&b^k&\\\end{array}\right] \left[\begin{array}{ccc}1&0&\\-7&1&\\\end{array}\right]\)
= \(\left[\begin{array}{ccc}a^k&0&\\7a^k-7b^k&b^k&\\\end{array}\right] = A^k\)
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In how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together
In how many ways can 5 different novels, 3 different mathematics books, and 1 biology book be arranged on a bookshelf if the mathematics books must be together and the novels must be together?
To find the number of ways, in which 5 different novels, 3 different mathematics books, and 1 biology book can be arranged on a bookshelf if the mathematics books must be together and the novels must be together, we can use the concept of permutation formulae.
Permutation formulae is the formula used to find out the number of ways in which a set of things can be arranged or ordered without repetition of the arrangement. Here, the mathematics books must be together and the novels must be together. Therefore, we can group the mathematics books together as one book and the novels together as one book. That is, we have two groups, one of size 3 (mathematics books) and one of size 5 (novels).
Therefore, the problem now reduces to finding the number of ways in which two groups of books can be arranged on a shelf. This can be done by using the permutation formulae as follows:
First, we find the number of ways to arrange the two groups on the shelf, ignoring the order within the groups. There are two ways to arrange the two groups: either the mathematics books can come first or the novels can come first.
Second, we find the number of ways to arrange the mathematics books within their group. There are 3! = 6 ways to arrange the 3 mathematics books within their group.
Third, we find the number of ways to arrange the novels within their group. There are 5! = 120 ways to arrange the 5 novels within their group.
Therefore, the total number of ways to arrange the books is given by the product of the number of ways to arrange the two groups, the number of ways to arrange the mathematics books within their group, and the number of ways to arrange the novels within their group.
Thus, the number of ways to arrange the books is:2 x 6 x 120= 1440.
Answer: 1440 words
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a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years. what is the 95% confidence interval estimate for the average number of years served by all supreme court justices? place your limits, rounded to 1 decimal place,
"a lawyer researched the average number of years served by 45 different justices on the supreme court. the average number of years served was 13.8 years with a standard deviation of 7.3 years.
The 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].According to the central limit theorem , a sampling distribution of the means is usually distributed in a normal distribution, given a big enough sample size, which means that it has a bell-shaped curve. It has a standard deviation that can be estimated by dividing the population standard deviation by the square root of the sample size. Using the formula below,
we can calculate the 95% confidence interval for the population average.= 13.8 ± (1.96 × 7.3 / √45)
= 13.8 ± (1.96 × 1.088)
= 13.8 ± 2.13The limits are calculated by adding and subtracting the calculated value from the sample mean.13.8 + 2.13
= 15.9313.8 - 2.13
= 11.67Therefore, the 95% confidence interval estimate for the average number of years served by all supreme court justices is [11.2, 16.4].
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A researcher tests the hypothesis that people who live in Florida spend less money on clothes than people who live in Pennsylvania because the weather is nicer. One hundred people who live in Florida and one hundred people who live in Pennsylvania are randomly selected and asked how much money they spend on clothes per year. In this study, what is the independent variable
The independent variable in this study is the place of residence, specifically whether the participants live in Florida or Pennsylvania.
The researcher is interested in examining the relationship between the location of residence and the amount of money spent on clothes. By selecting participants from both Florida and Pennsylvania, the researcher can compare the spending habits of individuals from these two locations and determine if there is a significant difference. Thus, the independent variable is the categorical variable that defines the groups being compared, which in this case is the place of residence.
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The figure is rotated 180 around the Irgun. Which point is in the interior of the rotated figure ?
The point that is in the interior of the rotated figure is (-5, -6).
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Additionally, the mapping rule for the rotation of any geometric figure 180° clockwise or counterclockwise about the origin is represented by the following mathematical expression:
(x, y) → (-x, -y)
Coordinates of point (5, 6) → Coordinates of point = (-5, -6)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The circumference of a circle is 2\piπ m. Find its radius, in meters.
Answer:
r≈0.32Step-by-step explanation: please give brainlest
jeremy owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets. how many different outfits can he wear to school if he must wear one of each item?
The average Jeremy can create 24 different outfits for school by combining 1 pair of pants, 1 shirt, 1 tie, and 1 jacket.
Jeremy can mix and match his items to create different outfits for school. Since he owns 4 pairs of pants, 3 shirts, 3 ties, and 2 jackets, he can create 24 different outfit combinations. For each outfit, he must wear 1 pair of pants, 1 shirt, 1 tie, and 1 jacket. He can mix and match any of the items he owns to create a variety of looks. For example, he could wear a blue shirt, grey pants, and a striped tie with a black jacket. Or, he could wear a white shirt, black pants, a polka-dotted tie, and a brown jacket. By combining his items in different ways, he can create 24 different outfits for school.
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Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
A rectangle city park measures 7/10 mile by 2/6 mile. what is the area of the park?
The area of the rectangular park is equal to 0.233 sq miles.
The measurements of the park that are given in the question are given as 7/10 mile by 2/6 mile.
The length of the rectangle park is 7/10 and the width of the park is 2/6 mile. We know that the area of the rectangle park is given as the:
= length * width of the park.
= L * W
= (7/10) * (2/6)
we can reduce the fraction even further to make the calculation easy
= (7/10) * (1/3)
Multiplying the denominators we get
= 7/30
To make the answer even simpler it can be converted into a decimal form which will be:
= 0.233 sq miles.
Therefore, The area of the rectangular park is equal to 0.233 sq miles.
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Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
0
Question content area bottom
Part 1
Select all sets in which the number is an element.
A.
integers
B.
natural numbers
C.
rational numbers
D.
whole numbers
E.
irrational numbers
F.
real numbers
The sets that the number -14 is an element of include:
Integers. Rational numbers.Real numbers. What kind of number is 14?-14 falls under various sets of numbers including integers. It is an integer because it is a whole number that does not have a decimal.
-14 is also a rational number and this is because it does not have an infinite value after the decimal point.
-14 is a real number as well. This is simply because it is a rational number. All rational and irrational numbers are real numbers so -14 is a real number.
The rest of the question is:
Select all sets in which the number - 14 is an element
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Plz help me with a, b, c, and d
Thx
Answer:
a) 2
b) 38
c) –2
d) – 38
I hope I helped you^_^
i know the answer but idont know the slope of the line. help me please !!
The slope of a line is a measure of the rate of change between two variables. In other words, it tells us how much the value of one variable changes as the value of another variable changes.
The slope is calculated as the rise (the change in the vertical direction) divided by the run (the change in the horizontal direction).
To find the slope of a line, you need two points on the line and the coordinates of those points. Once you have the two points, you can calculate the rise and the run, and then divide the rise by the run to find the slope.
It is important to note that the slope of a line can be positive, negative, or zero. A positive slope means that the line rises from left to right, a negative slope means that the line falls from left to right, and a zero slope means that the line is horizontal.
Knowing the slope of a line can be useful in many applications, such as regression analysis, where the slope represents the relationship between two variables, or in determining the equation of a line. In either case, it is important to understand the meaning and interpretation of the slope to effectively use the information.
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The diagram shows an open rectangular box ABCDEFGH.
A straight stick AGM rests against A and G and extends outside the box to M.
a. Calculate the angle between the stick and the base of the box.
b. AM= 30 cm.
Show that GM= 4.8 cm, correct
to 1 decimal place.
The angle between the stick and the base of the box is 77. 9 degrees
How to determine the angleTo determine the angle between the stick and the base, we have to know the trigonometric identities.
These identities are;
sinecosinecotangenttangentsecantcosecantFrom the information given, we have;
sin A = FB/AB
Given that;
GB = 14.5cm
AB = 18. 6cm
substitute for the length of the sides, we have;
sin A = 14.5/18. 6
Divide the values, we have;
sin A = 0. 7796
Find the inverse sine
A = 77. 9 degrees
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what's the justification for 2x + 0 = 22
Answer:
Additive inverse property
Step-by-step explanation:
Using control charts, define five situations in which a process
is out of control and how it is recognizable on a control
chart.
Control charts are used to monitor and identify when a process is out of control. There are several situations that indicate an out-of-control process, and these can be recognized on a control chart. Here are five such situations:
A point falls outside the control limits: If a data point falls above the upper control limit or below the lower control limit, it indicates that the process is out of control. This suggests that there may be a significant change or variation in the process.
Nonrandom patterns: Nonrandom patterns in the data points on a control chart, such as a consistent upward or downward trend, cycles, or oscillations, suggest that the process is not stable. These patterns indicate the presence of special causes of variation.
Runs and streaks: A run or streak refers to a series of consecutive data points that are either above or below the central line on the control chart. Runs or streaks suggest a lack of randomness and indicate that the process is not in control.
Lack of points within control limits: If there are long stretches of data points that are consistently clustered near one control limit or the central line without points within the control limits, it suggests that the process is not stable and may be exhibiting a systematic bias or shift.
Excessive variation: If there is excessive variation in the data points on the control chart, indicated by a wide spread of points around the central line, it suggests that the process is not under control. This can be recognized when the data points exceed the expected range of variation. These situations provide clear indications that a process is out of control and requires investigation and corrective actions to address the underlying causes of the variations. Control charts help in quickly identifying these situations and facilitating timely interventions to maintain process stability and quality.
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