Answer:
Step-by-step explanation:
Note that the given height equation, which is a quadratic) has a graph that opens downward. Borrowing the quadratic formula, we find the roots of this equation, that is, the t values at which h(t) = 0:
The coefficients of this equation are a = -16, b = 80 and c = 0.
We need to find the roots of this quadratic. By the quadratic formula,
-(80) ±√(80² - 4(-16)(0) ) -80 ± 0
t = ------------------------------------- = ----------------- = -5/2 and -5/2 (seconds).
2(-16) -32
The initial height is 0 at t = 0 seconds and the final height 0 at 5/2 seconds.
3 more than 7 times a number x is 47
Answer:
x = 44/7
Step-by-step explanation:
7x+3 = 47
Subtract 3 from each side
7x+3-3 = 47-3
7x = 44
Divide by 7
7x/7 = 44/7
x = 44/7
Please help me with the explanation! I need to remember how to do this
Answer:
like what do you want to remember.
I really need to know the answer of this question
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
use electronegativity values to identify elements that have certain characteristics. match the elements in the left column to the appropriate blanks in the sentences on the right.
Element that would be more effective in accepting electrons - Chlorine
Element that would be the best insulator - As
Element that would combine with sulfur - Rb
What is electronegativity?We know that in a bonding situation, it is possible to have electrons closer to one of the bonding atoms than the other. In such case, the electron cloud is seen to be closer to a given atom. The atom to which the electron cloud is closer is said to be more electronegative.
In the periodic table electronegativity is a property that tends to increase from the left hand side to the right hand side of the periodic table.
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PLS HELP ILL GIVE BRAINLIST AND FOLLOW U
Answer:
61.2
Step-by-step explanation:
base=6
height=10
Area of parellelogram=base x height
=6x 10.2
=61.2 sq.ft
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE
please help me this, this is very urgent!! thank you so much!
Answer:
KPL= 64 degrees JPL= 116 degrees
Step-by-step explanation:
2x+24+4x+36=180
combine like terms
6x+60=180
6x=120
x=20
2(20)+24=64
4(20)+36=116
Find the a/2 (the area in one tail outside of the confidence interval) and the critical value Zg 22 necessary to construct an 80% confidence interval. Round the z, the nearest hundredths place. to
The crucial value Zg 22 required to create an 80% confidence interval is roughly 1.28, rounded to the closest hundredth place. The area in one tail outside of the 80% confidence interval (a/2) is 10%.
The a/2 (the area in one tail outside of the 80% confidence interval) and the critical value Zg 22, can be found as,
1. Determine the total area outside the confidence interval: Since the confidence interval is 80%, the area outside the interval is 100% - 80% = 20%.
2. Calculate a/2: Divide the area outside the interval by 2 to find the area in one tail. In this case, a/2 = 20%/2 = 10%.
3. Find the critical value Zg 22: To determine the critical value (Z-score) associated with the 80% confidence interval, look up the corresponding Z-score in a standard normal distribution table or use a calculator or software that can compute the inverse of the standard normal cumulative distribution function (also called the Z-score calculator or the percentile calculator). In this case, you will look for the Z-score that corresponds to 90% (80% confidence interval plus one tail area), which is approximately 1.28.
So, the area in one tail outside of the 80% confidence interval (a/2) is 10%, and the critical value Zg 22 needed to construct an 80% confidence interval is approximately 1.28, rounded to the nearest hundredth place.
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Determine how (if possible) the triangles can be proved similar.
To prove that two triangles are similar, we must show that they have the same shape, but not necessarily the same size. This can be done by showing that the corresponding angles of the two triangles are equal and that the corresponding sides are in proportion.
To do this, we can use the Side-Side-Side (SSS) Similarity Theorem. This theorem states that if all three pairs of corresponding sides of two triangles are in proportion, then the two triangles are similar. To prove this, we must show that the ratio of each pair of corresponding sides is equal.
For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the ratio of AB to DE is equal to the ratio of BC to EF. We can do this by solving the following equation:
AB/DE = BC/EF
If the equation is true, then the two triangles are similar.
We can also use the Angle-Angle-Angle (AAA) Similarity Theorem to prove that two triangles are similar. This theorem states that if all three pairs of corresponding angles of two triangles are equal, then the two triangles are similar. To prove this, we must show that the measure of each pair of corresponding angles is equal.
For example, let's say we have two triangles ABC and DEF. To prove that these two triangles are similar, we must show that the measure of angle A is equal to the measure of angle D, the measure of angle B is equal to the measure of angle E, and the measure of angle C is equal to the measure of angle F.
If the measures of the corresponding angles are equal, then the two triangles are similar.
Therefore, to prove that two triangles are similar, we must show that either the corresponding sides are in proportion (using the SSS Similarity Theorem) or the corresponding angles are equal (using the AAA Similarity Theorem).
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What is the value of x in the equation −x = 3 − 4x + 6? −9 −3 3 9 Question 7(Multiple Choice Worth 5 points)
Answer:
-x=3-4x+6
3x=3+6
3x=9
X=3
Step-by-step explanation:
-x = 3 - 4x + 6
Simplify:
-x = -4x + 9
Add 4x to both sides
3x = 9
Divide both sides by 3:
X = 3
Which is the correct first line for dividing the function f(x)= x^3-12x+16 by (x-2) using synthetic division
Answer:
C
Step-by-step explanation:
Which action by the body best releases heat and cools the body during and after exercising?
a:Chemicals are released to indicate thirst.
b;Perspiration occurs.
c;Breathing rate increases.
d;Muscles make lactic acid.
Answer:
b
Step-by-step explanation:
B , becausse when percipitation occurs you sweat which is how your body releases heat and cools you down.
When we exercise and the body needs to release heat and cool itself, it engages in the process of b. Perspiration
Perspiration:
Refers to when humans sweat Allows us to cool down because the sweat cools us downWhen we are exercising therefore and we begin to sweat, this just means that the body is quite hot and needs to cool itself down.
In conclusion, the body uses perspiration to cool itself.
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What is the height of the cone if its volune is 8,138.88 feet CUBED? Use 3.14 for pi. (Radius of base of cone is 12 ft)
Answer:
h = 54 feet
Step-by-step explanation:
The equation for the volume of a cone is V = \(\frac{1}{3}\) × π × r² × h.
You have the volume, which is 8,138.88, and the radius of the base, which is 12.
V = 8,138.88
h = 12
π = 3.14
When you plug everything you know into the equation, you get:
V = \(\frac{1}{3}\) × 3.14 × r² × h.
8,138.88 = \(\frac{1}{3}\) × 3.14 × (12)² × h
After you multiply everything on the right side, you come out with:
8,138.88 = 150.72 × h
To find h, you can divide each side by 150.72.
8,138.88 ÷ 150.72 = 54 feet!
The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition.
Answer:
Step-by-step explanation:
in order to meet the sample assumption associated with parametric statistics, how many subjects are needed?
In order to meet the sample assumption associated with parametric statistics, the number of subjects needed depends on the specific statistical test being used. Generally, the rule of thumb is to have a minimum of 30 subjects in each group being compared.
However, this number may increase or decrease depending on factors such as the effect size, variability in the data, and the statistical power desired.
It is important to have enough subjects so that the data is normally distributed, and there is enough content loaded to meet the assumptions of the statistical test.
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Simplify: 5х - бу+ 4x
Answer: 9x - 6y
Step-by-step explanation:------------------------
WILL MARK BRAINLIEST!! URGENT HELP IS NEEDED!
In a paragraph, explain whether or not all geometric sequences are exponential functions.
Answer:All geometric sequences are exponential functions.
Step-by-stepexpanation:
An exponential function is a mathematical function in the form of f(x) = a^x, where a is a constant known as the base, and x is the variable. A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed constant, known as the common ratio. This means that the terms in a geometric sequence can be written in the form a, ar, ar^2, ar^3, ..., where a is the first term and r is the common ratio. By definition, this is equivalent to the exponential function f(x) = a*r^x, which has the same form as an exponential function. Therefore, all geometric sequences are exponential functions.
How do you find the area of a rhombus without diagonals?
The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.
The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.
The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.
It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.
Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.
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If each xi has a gaussian (normal) distribution, how many samples k would we need to guarantee mk(x) is between 67 and 73 with probability 0. 925? note that your answer must be an integer
Assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.
To determine the number of samples required, we can utilize the properties of the Gaussian distribution and the concept of confidence intervals. Given that mk(x) follows a Gaussian distribution, we can express it as:
mk(x) ~ N(μk, σk^2)
where μk represents the mean and σk^2 represents the variance of the distribution.
To ensure that mk(x) falls between 67 and 73 with a probability of 0.925, we need to find the appropriate confidence interval.
The Z-score corresponding to a 92.5% probability is approximately 1.96 (for a two-tailed test). The Z-score represents the number of standard deviations from the mean.
The width of the confidence interval can be calculated using the following formula:
Width = 2 * Z-score * (σk / sqrt(k))
Here, k represents the number of samples.
Since the Z-score and desired width are given, we can rearrange the formula to solve for k:
k = (2 * Z-score * σk / Width)^2
Plugging in the values, we have:
k = (2 * 1.96 * σk / (73 - 67))^2
Now, it's worth noting that the value of σk (the variance) is not provided in the question. Consequently, without knowing the specific distribution parameters or further details about the data, we cannot calculate an exact value for k.
However, assuming you have access to the standard deviation (σk), you can substitute its value into the equation along with the given Z-score and desired width to determine the minimum required sample size (k) that guarantees the desired probability.
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Which pair of angles are alternate exterior angles of parallel lines v and w?
b° and d°
a° and b°
a° and d°
a° and c°
Answer:
a and d
Step-by-step explanation:
v and w are parallel lines
R is the transversal
Alternate exterior means on the opposite sides of the transversal and outside of the parallel linea
a and d are alternate exterior angles
The graph of a quadratic function f(x) has a vertex at (6, -1). What is the vertex of h(x) if h(x) = f(x-3) -4?
Answer:
(9, -5)
Step-by-step explanation:
To find the vertex of the function h(x), we need to apply the given transformation to the vertex of the original function f(x).
The function h(x) = f(x - 3) - 4 represents a horizontal shift of 3 units to the right and a vertical shift of 4 units downward from the original function f(x).
Given that the vertex of f(x) is (6, -1), we can apply the horizontal shift of 3 units to the right by adding 3 to the x-coordinate of the vertex, resulting in (6 + 3, -1) = (9, -1).
Next, we apply the vertical shift of 4 units downward by subtracting 4 from the y-coordinate of the vertex, giving us (9, -1 - 4) = (9, -5).
Therefore, the vertex of the function h(x) is (9, -5).
Bruno noticed today's gasoline price at the local convenience store was advertised as $3.40 per gallon. This price is 15% above last year's price. Calculate last year's price.
Answer:
(3.4/100)*115 = $3.91
Step-by-step explanation:
Divide by 100% and multiply by 115 (100%+15%)
28% of the animals in an animal
rescue centre are cats. What
percentage are dogs?

Answer: Percentage of cats = 28%
Therefore, percentage of dogs = (100-28)%
= 72%
Step-by-step explanation:
hope this helps have a great night❤️
Prove by induction that if we remove the root of a k-th order binomial tree, it results in kbinomial trees of the smaller orders. You can only use the definition of Bk. Per the definition, Bk is formed by joining two Bk-1 trees.
The statement holds true for the base case and it holds true for any k=n assuming it holds true for k=n, we can conclude that the statement holds true for all positive integer values of k. Hence, if we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in k binomial trees of the smaller orders.
The statement to be proven is: "If we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{k}$\) binomial trees of the smaller orders."
We will prove this statement by mathematical induction.
Base case k=1 :
A 1st order binomial tree has only one node (the root), so there are no smaller binomial trees to be formed if we remove the root. This statement holds true for the base case.Inductive step:
Suppose the statement holds true for some \($\mathbf{k}=\mathbf{n}$\), i.e., if we remove the root of an \($\mathbf{n}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{n}$\) binomial trees of the smaller orders. We need to show that it also holds true for \($\mathbf{k}=\mathbf{n}+1$\)
using definition of mathematical induction.
Consider a \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, which can be formed by joining two \($\mathrm{n}^{\text {th }}$\) order binomial trees. If we remove the root of this \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, we are left with two nth order binomial trees. By the induction hypothesis, each of these \($\mathbf{n}^{\text {th }}$\) order binomial trees will result in n binomial trees of the smaller orders. Hence, the result of removing the root of the \($(n+1)^{\text {th }}$\) order binomial tree will be n + n = 2n binomial trees of the smaller orders, which implies that the statement holds true for \($\mathrm{k}=\mathrm{n}+1$\) as well.
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Which of the following is a possible equation of a parabola. Explain why.
Answer:
the answer is C
because for an equation to be an equation of a parabola, the coefficient of x^2 and y^2 has to be 1
When full a 22-gallon gas tank can hold 129.8 pounds of gasoline. Estimate the weight of one gallon of gasoline.
ANSWER:
\(5.9 \: pounds\)
STEP-BY-STEP EXPLANATION:
Gasoline put into one gallon
\( = \frac{129.8}{22} = \frac{64.9}{11} = 5.9\)
Which expression is equivalent to (2^0 / 2^3) ^2
A 1/8
B 1/16
C 1/32
D 1/64
D
Step-by-step explanation:\((\frac{2^0}{2^3})^2\)__________________________________
Calculate the power\((\frac{1}{2^3})^2\)
\((\frac{1}{8})^2\)
\(\frac{1}{64}\)
__________________________________
Determine true/false\(Determine\ whether\ (\frac{2^0}{2^3})^2\ and\ \frac{1}{64}\ are\\ equivalent:\)
\(True\)
I hope this helps you
:)
1. Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration’s willingness to pay to save a student statistical life is no more than:
a) $50,000
b) $1,000,000
c) $100,000
d) $33,333
The administration's willingness to pay to save a student's statistics life is no more than option c) $100,000.
To estimate the administration's willingness to pay to save a student's statistical life, we need to calculate the cost per statistical life saved. Currently, the probability of a student dying from the plague is 1/3,000. If the rats are eradicated, this probability is reduced to zero. The cost of eradicating the rats is $1,000,000. To calculate the cost per statistical life saved, we divide the cost by the number of statistical lives saved.
The number of statistical lives saved is the product of the number of students on campus (30,000) and the reduction in probability (1/3,000).
Cost per statistical life saved = $1,000,000 / (30,000 * (1/3,000))
= $1,000,000 / (30,000 * 1/3,000)
= $1,000,000 / 10
= $100,000
Therefore, the correct answer is option c) $100,000.
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Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix
�
=
18
x=18.
The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².
A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating
straight line of that surface.
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.
The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.
The axis of symmetry is the line through the focus and perpendicular to the directrix.
The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens
up" or "opens down.
The directrix is a fixed straight line used in the definition of a
parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the
distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's
the solution to the given problem:
The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)
The vertex is (h,k) = ((18+2)/2,5) = (10,5)
Then we can use the following formula: (x - h)² = 4p(y - k)
Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)
Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)
The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).
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rudy wanted to drive a car that uses less gasoline, so he bought a hybrid. there is a proportional relationship between the volume of gasoline rudy's car uses when driving on the highway (in gallons), x, and the distance he drives it on the highway (in miles), y. x (gallons) y (miles) 1 25 2 50 3 75 4 100 what is the constant of proportionality? write your answer as a whole number or decimal.
The constant of proportionality for x gallons water and y miles is k = 25
The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.
Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.
A proportionate connection is simple to represent as a straight line on a coordinate plane. It is a straight line because it is directly proportional; the slope serves as the constant of proportionality.
The proportionate change along the x and y axes never varies, hence the slope or increase is constant.
According to the question,
x(gallons) y(miles)
1 25
2 50
3 75
4 100
As we know, If y is proportional to x
=> y ∝ x
=> y = kx , where k is constant of proportionality
Using the table,
when x = 1 => y = 25
=> 25 = k(1)
=> k = 25
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PLEASE HELP NO LINKS, MAY PIN FILES, OR TYPE BOX THANK YOU FOR ANSWER
Answer:
1. Paul has mixed up the translation of the ordered pair.
New location: (1, 5)
2. Option C : E = (3, 2) F = (8, 4) G = (5, 7)
Step-by-step explanation:
An ordered pair is a pair of numbers, (x,y) , written in a particular order.
It is often used to represent a point on a coordinate plane.
1. From inspection of the diagram, the market is located at (3, 8)
Paul's mistake is that he has mixed up the translation of the ordered pair. He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.
The correct ordered pair for the new location of the market is (1, 5)
2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).
E = (3, 2)
F = (8, 4)
G = (5, 7)