It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.
What are species?
Species exist as organisms that contain similar characteristics and exist capable of interbreeding. A common example is human beings.
It has been observed that over the years, species have been going extinct due to human reasons such as excessive hunting, environmental factors such as natural disasters, global warming, and also due to changes in their genetic makeup or reduced reproduction.
It has been estimated that every year 20,000 species are going extinct and 72 species are going extinct on an average day.
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Answer: Edge 2022, B. 72
There was an earthquake in San Francisco April 18, 1906. More recently there was another earthquake in Columbia June 27, 2014. Earthquakes are measured using the associated amplitude on the Richter scale. Let a1 be the amplitude for the San Francisco earthquake and a2 be the amplitude for the Columbian earthquake.
San Francisco earthquake equations is below:
R1=log(a1/T)+B=7.8
Columbia earthquake equations is below:
R2=log(a2/T)+B=5.6
a. Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below: a1/a2
Solving a logarithmic equation, it is found that the San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are R1 and R2, with R1 greater than R2, the ratio of the intensities, that is, how much intense R1 is than R2, is given as follows:
[tex]r = 10^{\frac{R_1}{R_2}}[/tex]
For this problem, the intensities are given as follows:
San Francisco: R1 = 7.8.Columbia: R2 = 5.6.Then, the ratio of the intensities is given as follows:
[tex]r = 10^{\frac{7.8}{5.6}} = 24.71[/tex]
The San Francisco earthquake was 24.71 times more intense than the Columbian earthquake.
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Given the angles inscribed in the circle, find m ∠ DBC.
Answer:
m∠DBC = 51°
Step-by-step explanation:
Circle Theorem vocabulary
Chord: A straight line joining two points on the circle.Inscribed angle: The angle formed when two chords meet at one point on a circle.Intercepted arc: The arc that is between the endpoints of the chords that form the inscribed angle.Inscribed Angle Theorem
The measure of an inscribed angle is half the measure of the intercepted arc.
Therefore:
[tex]\sf \implies \angle DBC=\dfrac{1}{2}\:\overset{\frown}{BC}[/tex]
[tex]\sf \implies \angle DBC=\dfrac{1}{2}\:(102^{\circ})[/tex]
[tex]\sf \implies \angle DBC=51^{\circ}[/tex]
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[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
To determine ∠DBC, we will apply the theorem relating the inscribed angle to the intercepted arc:
[tex]\longrightarrow \sf{Intercepted \: arc= (inscribe \: angle)}[/tex]
[tex]\longrightarrow \sf{Intercept \: arc= 102^\circ}[/tex]
[tex]\longrightarrow \sf{Inscribed \: angle= \angle DBC }[/tex]
[tex]\longrightarrow \sf{102=2( \angle DBC)}[/tex]
[tex]\longrightarrow \sf{\angle DBC= \dfrac{102}{2} }[/tex]
▪ [tex]\longrightarrow \sf{\angle DBC = 51^\circ}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\boxed{\bf{\large m \: \angle DBC= 51^\circ}}[/tex]
Indicate the equation of the line meeting the given conditions. Put the equation in standard form.
Containing E(4, 3) and A(6, 1)
Answer:
x + y = 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = E (4, 3 ) and (x₂, y₂ ) = A (6, 1 )
m = [tex]\frac{1-3}{6-4}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 , then
y = - x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (4, 3 )
3 = - 4 + c ⇒ c = 3 + 4 = 7
y = - x + 7 ← equation in slope- intercept form ( add x to both sides )
x + y = 7 ← equation in standard form
Why is proficiency in statistics an important skill for a data analyst?
Proficiency in statistics is an important skill for a data analyst because it is needed in identifying patterns and correlations in data.
What is Data analysis?Data analysis can be regarded as the process of collecting as well as modeling, and analyzing data so as to be able to extract insights that support decision-making.
Some Types of Data Analysis are:
Descriptive Analysis.Exploratory Analysis.Inferential Analysis.Predictive Analysis.Causal Analysis.Mechanistic Analysis.It should be noted that Proficiency in statistics is an important skill for a data analyst because it is needed in identifying patterns and correlations in data.
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You are on a jungle expedition and come to a raging river. You need to build a bridge across the river. You spot a tall tree directly across from you on the opposite bank (point ). You place a pole in the ground to mark the position directly across from the tree. From the spot you are standing, you walk directly downstream 16 feet and place another pole (point ). You keep walking down stream and mark a third spot with a pole that is 7 feet from your last pole (point ). Turning perpendicular from the last pole, you walk away from the river 9 feet to another position and place a fourth pole (point ).
a. Determine if the two triangles are similar. Explain which similarity theorem you used and why.
b. Use proportions to calculate the distance across the river.
A large tree is close to point and we could chop it down at an angle to reach point and safely cross the river.
c. How tall does the tree need to be to span the river from point to ?
identify the TRUE statement relating to a property of the function y = sin x
A. one cycle of the function is 180 degrees
B. The maximum and minimum values of the function are 1 and -1 respectively
C. The amplitude of the function is 2 units
D. The equation of the baseline is y = -1
The true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
Properties of the function
The following are the properties of the sin trigonometric ratio of the function;
The sine graph rises till +1 and then falls back till -1 from where it rises again.The function y = sin x is an odd functionThe domain of y = sin x is the set of all real numbersThe range of sine function is the closed interval [-1, 1]The amplitude of the function is half its range valueOne cycle of the function is 6. 28From the above listed deductions, we can see that the true statement about the function y = sin x is that the range which is always known as the maximum and minimum values of the function are 1 and - 1 respectively.
Thus, the true statement relating to a property of the function y =sin x is that the maximum and minimum values of the function are 1 and -1 respectively. Option B
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If segment fd = 45 units and segment de = 60 units, what is the value of a? round the solution to the nearest hundredth.
The value of 'a' closest to hundredths is 41.41
What is Triangle and its segment?A triangle could also be a polygon with three sides and three angles. The three sides for a triangle DEF shown above, written symbolically as △DEF, are line segments DE, EF, and DF
If three sides of a triangle are adequate to three sides of another triangle, then the triangles are congruent. (2) If three angles of a triangle are respectively adequate to three angles of another triangle, then the 2 triangles are congruent.
According to the given data:Since this is often a right triangle, we'll use trig functions:
cos theta = adjacent / hypotenuse;
cos a=FD/DE;
cos a=45/60.
Taking the inverse of each side:
cos-1(cos a) =cos-1(3/4);
a=41.40962211.
After Rounding to the closest hundredth:
The value of a is 41.41.
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PLEASE HELP ME SOLVE THE QUESTION BELOW
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at 12 % annual interest rate, compounded quarterly , in order to have 20,000$ in the fund at the end of 10 years?
For Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
What is the principal?
To calculate the sum of money they must deposit, use the compound interest formula.
From the compound interest formula;
P = A / ( 1 + r/n )^(nt)
Given that;
Final amount A = 20,000Interest rate r = 12% = 12/100 = 0.12Compound n = quarterly = 4Time t = 10 yearsPrincipal P = ?P = A / ( 1 + r/n )^(nt)
P = 20,000 / ( 1 + 0.12/4 )^(4×10)
P = 20,000 / ( 1.03)^40
P = 20,000 / 3.26203779
P = $6,131.14
Therefore, for Ann and Tom to have $20,000 at the end of 10 years, they must deposit a sum of $6,131.14.
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Given: f(x) = 2x + 5 and g(x) = x² and h(x) = -2x
h(g(f(x))) =
RETRY
X² +
X +
Answer: [tex]-8x^2 -40x-50[/tex]
Step-by-step explanation:
[tex]h(g(f(x))\\\\=h(g(2x+5))\\\\=h((2x+5)^2)\\\\=h(4x^2 +20x+25)\\\\=-2(4x^2 +20x+25)\\\\=-8x^2 -40x-50[/tex]
The value of the composite function h(g(f(x))) = -8x² - 40x - 50.
We have,
To find the composition h(g(f(x))), we need to substitute the function g(f(x)) into h(x) and simplify.
Given:
f(x) = 2x + 5
g(x) = x²
h(x) = -2x
First, we find g(f(x)) by substituting f(x) into g(x):
g(f(x)) = g(2x + 5) = (2x + 5)² = (2x + 5)(2x + 5) = 4x² + 20x + 25
Now, we substitute g(f(x)) into h(x):
h(g(f(x))) = h(4x² + 20x + 25) = -2(4x² + 20x + 25) = -8x² - 40x - 50
Therefore,
The value of the composite function h(g(f(x))) = -8x² - 40x - 50.
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4. The figure shows a rectangular tank.
(a) The capacity of the tank is ___ L.
(b) After pouring 10L of water into the tank, the depth of water will be __ cm.
Answer:
20 L volume and 12.5 cm depth.
Step-by-step explanation:
See attached image.
X
-3
-1
1
3
f(x) = -x + 7
f(x)
8
2323
20
6
Determine the input that would give an output value of
W/N!
2
X=
=-3x+7
Answer: 19
Step-by-step explanation:
Multiplying both sides of the equation by [tex]-3[/tex] gives that [tex]x=19[/tex].
Create a visual plot of the data in the table by constructing a bar graph.
3. What is the average view of the dress code? How did you come to this
conclusion?
4. The dress code will be changed if more than 60% of the school feels like a
change is needed. If 40% of this majority agrees on the same change, that will
be what is done with the dress code. Will the dress code change? Do we know
which option will occur? Be sure to explain your reasoning.
The average view of the dress code is that this dress is not good
Explain how Rashad could collect data to ensure that it is a random sample of the population.For Rashad's sample to be a random sample gotten from the population, the following must be considered.
First, he must have a defined population. In this case, his population is all the students in his high school (non students are not to be considered)Next, he must have a defined sample size (say 10% or 20% of the total number of students in the school)Next, he must select students at random (a perfect example of this is one of every five or ten students that enters the school gate.Lastly, he must collect data for his sampleCreate a visual plot of the data in the table by constructing a bar graph.To do this, we simply create a bar graph.
The response would go into the x-axis, while the number of people would go into the y-axis
See attachment for bar graph
What is the average view of the dress code? How did you come to this conclusion?The average view of the dress code is that this dress is not good
It is considered the average view of the dress code because it is the opinion with the most frequency
Will the dress change?The number of students that do not like the dress as:
210 + 206 + 770 = 1186
Their percentage is
Percentage = 1186/(210 + 206 + 770 + 358)
Percentage = 77%
This means that
Yes, the dress will change
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A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. the goalie is standing on the goal line at a point where he is 3 yards from the left post and 5 yards from the right post, to be sure that the angle that the kicker can kick and score is bisected. how far is the kicker from the right post, to the nearest yard?
IfIf a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.
Distance of the kicker from the right postUsing sine theorem
Let Left triangle=3/sinx=14/sin∝
Let Right triangle=5/sinx=y/sin(180°-∝°)
Let Sin∝°=sin(180°-∝°) sinx=sinx
Let y represent how far is the kicker
Hence:
3/5=14/y
y=5×14/3
y=70/3
y=23.3333
y=23 yards (Approximately)
Therefore If a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.
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AB passes through A(-3,0) and B(-6,5). what is the equation of the line that passes through the origin and is parallel to AB?
Answer:
y = -5/3x or 5x +3y = 0
Step-by-step explanation:
To write the equation of a line through the origin, we need only find its slope. It is parallel to the line through the given points, so will have the same slope.
SlopeThe slope of a line through points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (5 -0)/(-6 -(-3)) = 5/(-3) = -5/3
EquationThe line trough the origin has a y-intercept of zero, so its equation will be ...
y = mx
For the slope we found, the desired equation is ...
y = -5/3x
Standard formIf we multiply by 3 and add 5x, we have ...
3y = -5x
5x +3y = 0 . . . . . . standard form equation of the line
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number.
The solution to the system of equation is x < 44/3
Expansion of inequality expressionsInequality expressions are expressions not separated by an equal sign. An example of an inequality is a < b
Given the inequality expression below;
x + 2x + 6 < 50
Simplify to have:
3x + 6 < 50
Subtract 6 from both sides
3x + 6 - 6 < 50 - 6
3x < 50 - 6
3x < 44
Divide both sides by 3
3x/3 < 44/3
x < 44/3
Hence the solution to the system of equation is x < 44/3
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When conducting a hypothesis test for a given sample size, if the probability of a type i error decreases, then the __________.
Based on the type I error, if a hypothesis test leads to the probability of a type I error decreasing, then the a. probability of incorrectly accepting the null hypothesis decreases.
What is a type I error?A type I error refers to when we are are engaged in a hypothesis test and end up rejecting the Null hypothesis even though it is true.
If we are in hypothesis tests and the probability of a type 1 error decreases, then it means that the probability of us correctly rejecting the null hypothesis when it is false increases.
It also means that the probability of us correctly accepting the null hypothesis when it is true increases as well.
This can further be said as the probability of us accepting the null hypothsis when it is false, decreases. There are therefore less chances of us incorrectly accepting the null hypothesis.
Options for this question include:
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PLEASE HELP IM STUCK
Answer:
23
Step-by-step explanation:
The question gives the first equation:
0.05N + 0.10D = 2.20
It can be rewritten as:
0.05$ times the number of nickels plus 0.10$ times the number of dimes is equivalent to $2.20.
Notice that 0.05$ or 5 cents is equivalent to one nickel and 0.10$ or 10 cents is equivalent to one dime.
The question asks for N+D. We know that N stands for the number of nickels Daniel has and D stands for the number of dimes Daniel has. We also know that Daniel only has dimes and nickels in his pocket. Therefore N+D most be equivalent to the total number of coins, which is given in the question to be equal to 23 coins.
Therefore...
N+D = 23
Marcia made 10 bracelets for 5 friends. Jen made 12 bracelets for 4 friends. Are these ratios/rates equivalent?
Answer:
These ratios are not equivalent as Marcia is 2 per friend while Jen is 3 per friend
Step-by-step explanation:
Marcia made 10 bracelets for 5 friends where each friend will be getting 2 bracelets with a 1:2 ratio
Jen made 12 bracelets for 4 friends where each friend will be getting 3 bracelets with a 1:3 ratio
Gareth pays $ 60 for 9 m of climbing rope. how much will sophie pay for 15 m at the same store? $
Sophie will pay money equivalent to $ 100 for 15 m at the same store.
The term "money" in mathematics refers to a form of payment, such as bills, coins, and demand deposits, that is used to purchase goods and services. Money is used to pay for the worth or price of an item or service.
A country's monetary system is referred to as its currency.
In the case of Gareth,
Money paid for 9 m of climbing = $ 60
Money paid per m of climbing = $ 60/9
Thus, money paid by Sophie for 15 m of climbing = 15 * 60/9
= $ 100
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The equation represents a hyperbola centered at the origin with a directrix of . what is the value of b? 10 16 20 26
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
What is hyperbola?The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
What is the general formula for hyperbola?The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
According to the given information:x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
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help help help help help help pleaseeeeee
The maximum height is; 180 ft and the Total time in the air is 12 seconds
How to solve projectiles?We are given the equation that represents the height of the rocket as;
d = 60t - 5t²
Taking the derivative of the formula gives us;
d' = 60 - 10t.
-10t represents the acceleration. The 60 represents the initial velocity.
Set 60 - 10t = 0 and solve for t to get;
t = 60/10 = 6seconds.
That's when the maximum height occurs. Plug that value of t into the original quadratic equation to get the maximum height.
d(6) = 60t - 5t²
d(6) = 60(6) - 5(6²)
d(6) = 180
So, maximum height is about 180 ft.
Thus, total time in air = 2 * 6 = 12 seconds
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Solve x in the equation 3x=2
❄ Hi there,
let us first figure out what we need to do to find x in this equation.
Since x is
multiplied by 3we will
divide by 3In other words we'll do just the opposite.
[tex]\sf{3x=2}\\\sf{x=\dfrac{2}{3}}[/tex]
That's it!
❄
ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠ = (4y - 1)°.m ∠BAC = __ .
Answer: try 35
Step-by-step explanation:
he table shows the mean number of basketball goals made by four random samples of players from the school team during this year’s season. Sample # Sample Mean Number of Goals 1 7 2 4 3 5 4 8 Is a valid prediction for the mean of the population possible using these samples? No, there are not enough samples. Yes, the sample means are all less than 10. Yes, the variation of the sample means is small. No, the variation of the sample means is too great.
The valid prediction for the mean of the population possible using these samples is C. Yes, the variation of the sample means is small
What is a sample mean?It should be noted that a sample mean is an average of a set of data . Also, the sample mean can be used to calculate the standard deviation, central tendency, and the variance of a data set.
The sample mean can be applied to a variety of uses, including calculating population averages.
Here, the sample variance is a measure of the degree to which the numbers in a list are spread out. Here, the numbers given are close to each other.
If the numbers in a list are all close to the expected values, the variance will be small and if they are far away, the variance will be large.
Therefore, the correct option is C.
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Answer:
C: Yes, the variation of the sample means is small.
Step-by-step explanation:
Correct answer on edge
B
23. Find the EXACT circumference of the circle
if AB = 2in and BC = 11in.
A
C
a. √117 in
b.
5√5π in
c.
35.1 in
d. 5√5 in
Answer:
C. 35.1
Step-by-step explanation:
First get the length of AC by using the Pythagorean Theorem, that ends up being about 11.18. Then you need to get the radius of the circle so you divide 11.18 by 2 and get 5.59. Then plug 5.59 for r into 2(pi)(r). 2(pi)(5.59) = 5.123
Answer:
Answer B is correct
Step-by-step explanation:
First, let us find the diameter (AC) of the circle using the Phythogerem theorem.
AC² = AB² + BC²
AC² = 2² + 11²
AC² = 4 + 121
AC² = 125
AC = √ 125
AC = 5√5
And now let us find the circumference of the circle.
C = π × d
C = π × 5√5
C = 5√5π in
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to
be attached 6 feet from the top and is to make an angle of 23° with the ground?
Give your answer to the nearest tenth of a foot.
Answer:
522.1
Step-by-step explanation:
Calculated based on 2 given angles and 1 given side.
Side b = 204
Angle ∠A = 90°
Angle ∠B = 23°
Angle ∠C = 180-90-23 = 67°
a = b·sin(A)/sin(B) = 522.09815
3-12x4-6x²
Expression in standard form:
Leading Coefficient:
Answer:
Below in bold.
Step-by-step explanation:
Standard form:
-12x⁴ - 6x² + 3.
Leading Coefficient:
-12.
What is the slope of the line shown in the graph? Express your answer as an improper fraction or as an integer as appropriate. Show your work
Slope can be found between two points using the formula [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex].
If we substitute in your points (which is x and which is y does not matter as long as it is consistent), we will get
[tex]\frac{(4-1)}{(2-0)}[/tex].
Simplifying this further, your slope will be
[tex]\frac{3}{2}[/tex].
hope this helps!
What is 6x^2 + 4(x^2 - 1)? Like terms.
The value of x for the given equation is 0.632 and -0.632.
According to the statement
We have given that the equation and we have to a find the value of the x.
So, The given quadratic equation are:
Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power solve for x in the quadratic equation
The given terms are
[tex]6x^2 + 4(x^2 - 1) = 0[/tex]
Solving the equation the the outcome equation is
[tex]6x^2 + 4x^2 - 4 = 0\\10x^2 - 4 = 0\\10x^2 = 4\\x^2 = 4/10[/tex]
The value of x is 0.632 and -0.632.
So, The value of x for the given equation is 0.632 and -0.632.
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help i dont remember dis stuff from last year
See below for the solution to the systems of equations
How to solve the systems of equations?System of equations 1
Here, we have
3x - 4y = -16
3x + 4y = 8
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, the point of intersection of the equations is (-4/3, 3)
Hence, the solution to the system is (-4/3, 3)
System of equations 2
Here, we have
-x = - 6 + 2y
-18 + 6y = -3x
We start by plotting the graph of both equations
Next, we write out the point of intersection of the equations
See attachment for the equation of the system
From the attached graph, both lines are on each other
This means that the system of equations have infinite many solutions
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