Answer:
[tex]y=2(x+2)(x-4)[/tex]
Step-by-step explanation:
Hi there!
Factored form: [tex]y=a(x-r)(x-s)[/tex] where r and s are two zeros
Given that the zeros are (-2,0) and (4,0), we know that -2 and 4 are r and s in the above equation. Plug these in:
[tex]y=a(x-(-2))(x-(4))\\y=a(x+2)(x-4)[/tex]
Now, to solve for a, plug in the given point (5,14) as (x,y):
[tex]14=a(5+2)(5-4)\\14=a(7)(1)\\14=7a\\a=2[/tex]
Therefore, a=2. Plug this back into the original equation:
[tex]y=2(x+2)(x-4)[/tex]
I hope this helps!
Can someone help me on this
Answer:
d
Step-by-step explanation:
The weight of oranges growing in an orchard is normally distributed with a mean weight of 7 oz. and a standard deviation of 1 oz. Using the empirical rule, what percentage of the oranges from the orchard weigh between 4 oz. and 10 oz.?
Answer:
Step-by-step explanation:
Set this up under the "mound" curve with 7 in the dead center. One standard deviation to the right is 8, another one is 9, another one is 10. Do the same going to the left, but go down from 7 to 6 to 5 to 4. Between the 6 and the 8 you will find 68% of the weights; between the 5 and the 9 you will find 95 % of the weights; and between 4 and 10 you will find 99.7% of the weights.
The percentage of the oranges from the orchard weighing between 4 oz and 10 oz is 99.7%
Express this to single logarithm
[tex] \frac{1}{2} log_{2}(m) - 3 log_{2}(n) + 2 log(q) [/tex]
Answer: [tex]\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right)[/tex]
We have something in the form log(x/y) where x = q^2*sqrt(m) and y = n^3. The log is base 2.
===========================================================
Explanation:
It seems strange how the first two logs you wrote are base 2, but the third one is not. I'll assume that you meant to say it's also base 2. Because base 2 is fundamental to computing, logs of this nature are often referred to as binary logarithms.
I'm going to use these three log rules, which apply to any base.
log(A) + log(B) = log(A*B)log(A) - log(B) = log(A/B)B*log(A) = log(A^B)From there, we can then say the following:
[tex]\frac{1}{2}\log_{2}\left(m\right)-3\log_{2}\left(n\right)+2\log_{2}\left(q\right)\\\\\log_{2}\left(m^{1/2}\right)-\log_{2}\left(n^3\right)+\log_{2}\left(q^2\right) \ \text{ .... use log rule 3}\\\\\log_{2}\left(\sqrt{m}\right)+\log_{2}\left(q^2\right)-\log_{2}\left(n^3\right)\\\\\log_{2}\left(\sqrt{m}*q^2\right)-\log_{2}\left(n^3\right) \ \text{ .... use log rule 1}\\\\\log_{2}\left(\frac{q^2\sqrt{m}}{n^3}\right) \ \text{ .... use log rule 2}[/tex]
Deandre can run 5 miles in 30 minutes.
How many minutes per mile is that?
6 minutes per mile.
As in, 30/5= 6
Answer:
Deandre can run 1 mile in 6 min
Step-by-step explanation:
Helppppp meeeeeeeeeeeeeeeee
Answer:
A. 8/10
Step-by-step explanation:
(0.8 × 10) / (1 × 10) = 8/10 (since, multiplying 10 shifts the decimal point towards the right by one place)
Further, we can reduce fractions 8/10 by dividing the numerator and denominator by 2.
(8 ÷ 2) / (10 ÷ 2) = 4/5
Thus, 0.8 as a fraction is 8/10 or 4/5
Answer:
C
Step-by-step explanation:
https://socratic.org/questions/how-do-you-convert-0-8-8-repeating-to-a-fraction
Two pedestrians begin to walk toward each other at dawn, each walking at a constant speed. They meet at noon, and continue along their separate routes. The pedestrian walking from point A to point B reaches point B at 4:00 pm, and the pedestrian walking from point B to point A reaches point A at 9:00 pm. At what time was dawn?
Edit: Please mark brainliest!!!!
Answer:
6:00 am
Heeeeyyyyyy, so i had the same problem from rsm, but like anyways, here it is
Let the distance between
Find the missing value in each figure below. What does “y” equal?
Answer:
Step-by-step explanation:
The perpendicular is equal to 6. That's because the left triangle's missing angle is 180 - 45 -90 = 45
The angle in the right triangle is given as 52.
The cos(52) = adjacent side (which we just found to be 6) / y
Multiply both sides by y
y cos(52) = 6
cos(52) = 0.6157
Divide by sides by cos(52)
y = 6 / cos(52)
y = 6 / 0.6157
y = 9.76
kPLEASE SOMEONE SOLVE B) I ALREADY KNOW 1. A) Is 75.875m^2
The answer to part A is correct. You basically have to find the area of that L shape, and subtract off the area of the shaded trapezoid.
To get part B, you need to find the perimeter. This is because the trim runs along the bottom edge of the wall. Refer to the diagram below. Adding up the exterior sides gets us:
12+12+4+8+8+4 = 48
So she needs 48 meters of trim.
I'm not sure what your teacher means by "what assumptions do you make". If your teacher is referring to something like making room for a door, then we'll have to subtract some value from that 48. The problem with this though is that we don't have any clue how wide the door is. So you'll have to ask your teacher for clarification.
Luckily, this value 48 is an overestimate of the amount of trim Jennifer needs to buy. In my opinion, it's better to overestimate than underestimate, which saves from having to make another trip to the hardware store.
josh is standing on the top of a building that is 425 feet tall. He throws a penny up into the air with an initial of 32 ft/sec. How long does it take for the penny to hit the ground?
Y = -4.9x^2 + 32x + 425
A. 10 seconds
B. 6.25
C. 400
D. 0 seconds
Answer:
A
Step-by-step explanation:
cause it will be more faster just because it is in a solid phase or it is solid
The time taken to hit the ground is 6.25 sec.(Option B)
How to calculate time?
It is given that penny follows the trajectory:
[tex]y = -4.9x^2 + 32x + 425[/tex]
Differentiating it we get:
[tex]\dfrac{dy}{dx} =-9.8x+32[/tex]
At y=425, it is obvious that x=0
So dy/dx at x=0 is 32.
Now the vertical component of the velocity is 32sinФ (where Ф is the angle at which penny is thrown).
Ф[tex]=\tan^{-1}(32)[/tex]
Vertical component=[tex]32*\sin(\tan^{-1}(32))[/tex]=31.98 ft/sec
Now applying the equation of motion: acceleration=-32ft/sec^(2)
u=31.98ft/sec s=-425 t=?
[tex]s=ut+\frac{1}{2} at^{2}[/tex]
[tex]-425=31.98t-16t^2[/tex]
[tex]16t^2-31.98t-425=0[/tex]
Solving the quadratic equation we get:
t=6.249 sec≅6.25 sec
Therefore, the time taken is 6.25 sec.
To know more about equation of motion refer:https://brainly.com/question/24966506
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The population of a city has increased by 27% since it was last measured. If the current population is 38,100, what was the previous population?
=___
Answer:
the previous population was 62,000.
Step-by-step explanation:
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
1.35p = 83,700
p =
p = 62,000
Therefore, the previous population was 62,000.
The population of a city has increased by 27% since it was last measured and the previous population was 62,000.
The current population of a city = 83,700
The population of a city has increased by 35% since it was last measured.
We have to calculate the previous population before increasing 35%.
What is the meaning of population?
A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.
Let the previous population be p
p +(35% × p) = 83,700
p + 0.35p = 83,700
p = 83,700
p = [tex]\frac{ 83,700}{1.35}[/tex]
p = 62,000
Therefore, the previous population was 62,000.
To learn more about the population visit:
https://brainly.com/question/25630111
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Anyone please help me
Standard form of a quadratic equation: ax^2 + bx + c = 0
4x^2 - 5x + 10 = 2x
4x^2 - 7x + 10 = 0
Hope this helps!
Find the slope when Y2 equals 8Y1 equals 4 X2 equals 6 and X1 equals 7
Answer: -4 is slope
Step-by-step explanation:
formula is y2-y1/ x2-x1
8-4=4
6-7=-1
4/-1= -4
Answer the following questions using 125 words or more:
Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?
Link to video 2min https://media-release.glynlyon.com/g_mat08_ccss_2016/4/media/html5/anm_scale_drawing_comic_project/media/video.mp4
Answer:
given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...
9 votes
look at image for question and answer
What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠D B C is a straight angle Prove: ∠ABC ≅ ∠A B D A horizontal line has points D, B, C. A line extends vertically from point B to point A. Angle A B C is a right angle. definition of angle bisector segment addition property definition of congruent angles transitive property
Answer:
Definition of Congruent angles.
Step-by-step explanation:
Given
See attachment
Required
Complete the proof at step 8
At step 8, we have:
[tex]\angle ABC \cong \angle ABD[/tex]
When the sign [tex]\cong[/tex] is used, it means congruence
In other words;
ABC and ABD are congruent
Hence, the missing statement at step 8 is: Definition of Congruent angles.
Answer:
ABC and ABD are congruent
Step-by-step explanation:
Which exponential function has an x-intercept?
Answer:
y = a^x is an exponential function with an x intercept.
Step-by-step explanation:
y = a^x is the standard form of an exponential function.
whats the area of this shape?
Answer:
54
Step-by-step explanation:
find the area of each shape. you have a length of 3 and a height of 4.
3 • 4 = 12
you have this shape twice so 12 • 2 = 24
now you have a length of 5 and a height of 6.
5 • 6 = 30
so adding up all of the numbers (24 + 30), you have an answer of 54.
What is y if the ordered pair (25, y) is a solution of the equation shown?
Answer:
4
Step-by-step explanation:
y = 1/5x -1
Let x = 25
y = 1/5(25) -1
= 5-1
= 4
y =4
Answer:
I think that it is 4
Step-by-step explanation:
WHATS YOUR TIKTOKKK OMG I WANT MUTUALS
If 5k = -25, then 5k - 1 = -25 - 1
Segment proof
Select point B, and drag it. As you drag B, circle AB changes. Verify that you can make circle AB coincide with AC. Return B to its approximate initial position. When circle AB coincides with circle AC, what do you notice about the regions CAD and EAF? In terms of similarity, what does your observation imply about the relationships among the lengths of the radii of AB and AC and the lengths of arc EF and arc CD? Write the relationship in the form of a proportion, and explain how it follows from your observation.
Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
radius of Ab/ radius of Ac= length of arc EF/ length of arc CD
Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
This is the exact answer so make sure you change it up a little.
Answer:
When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.
The proportional relationship may be stated in different forms, but should be equivalent to this equation:
the radius of AB /radius of AC= length of arc EF/length of arc CD
The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.
Step-by-step explanation:
Classify the triangle.
obtuse
equiangular
right
acute
Answer:
right the box in the corner means it's a 90 degree angle or a right angle
Answer:
right
Step-by-step explanation:
The box in the corner means the angle is 90 degrees, which means it is a right angle. That means the triangle is a right triangle
While you’re at the top of the tower(50 meters), you see an ant walking along the edge of the building. If the ant were to walk straight down the side of the tower until it reached the ground, how far would the ant travel? Which trigonometric ratio would you use to find this distance? Use the ratio to find the measurement.
Answer:
50.4 meters
Step-by-step explanation:
Given
[tex]h = 50[/tex] -- height of the tower
[tex]\theta = 7.1^o[/tex] --- angle with the wall (missing from the question)
Required
The distance walked by the ant (d)
I've added an attachment to illustrate the given parameters.
Where
[tex]h \to[/tex] height of the tower
[tex]d \to[/tex] distance walked
To calculate d, we make use of cosine trigonometric ratio:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
So, we have:
[tex]\cos(7.1^o) = \frac{50}{d}[/tex]
Make d the subject
[tex]d = \frac{50}{\cos(7.1^o)}[/tex]
[tex]d = \frac{50}{0.9923}[/tex]
[tex]d = 50.4[/tex]
Find the volume of this sphere please help
Answer:
Volume = 108 ft³
Step-by-step explanation:
Volume of a sphere is given by the expression,
V = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
From the picture attached,
Radius of the sphere = 3 ft
By substituting the value of r in the expression,
Volume = [tex]\frac{4}{3}\pi (3)^{3}[/tex]
= 36π
= 36×3
= 108 ft³
A soccer field has a perimeter of 326 metres. Its area is 6370 square metres. What are the dimensions of the field?
Answer:
Step-by-step explanation:
chiều dài:x,x>0
chiều rộ:y
[tex]\left \{ {({x+y)*2=326} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{x+y=163} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {xy=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {x*(163-x)=6370}} \right.[/tex]
[tex]\left \{ {{y=163-x} \atop {163x-x^{2} =6370}} \right. \\[/tex]
[tex]\left \{ {{y=163-x} \atop {x_{1} =98; x_{2} =65}} \right.[/tex]
[tex]\left \{ {{y=65} \atop {x=98}} \right.[/tex]
Which of the following are interior angles in the figure below?
O
A. 21, 22, and 26
B. 25 and 26
C. 23 only
D. 21, 22, and 23
Answer:
(A), 21, 22,and 26
Step-by-step explanation:
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help mePsychologists striving to understand the human mind may study the nervous system. Learning how the cells and organs (like the brain) function, help us understand the biological basis behind human psychology. The nervous system is composed of two basic cell types: glial cells (also known as glia) and neurons. Glial cells, which outnumber neurons ten to one, are traditionally thought to play a supportive role to neurons, both physically and metabolically. Glial cells provide scaffolding on which the nervous system is built, help neurons line up closely with each other to allow neuronal communication, provide insulation to neurons, transport nutrients and waste products, and mediate immune responses. Neurons, on the other hand, serve as interconnected information processors that are essential for all of the tasks of the nervous system. This section briefly describes the structure and function of neurons.
Answer:
Hope this helps!
Step-by-step explanation:
Which statement best evaluates the effectiveness of the conclusion
paragraph?
Thesis Statement: My future job must include human interaction, a
nontraditional workspace, and teamwork.
Main Points:
1. Work with people
2. Work in a nontraditional workspace
3. Work in a place where coworkers share ideas
Conclusion: In the end, my future job will be one that allows me to
collaborate with my coworkers in dynamic and nontraditional
workspaces. If I am forced to sit behind a desk I will be extremely bored. Furthermore, I will be less productive if I am forced to work alone without the chance to discuss ideas with my coworkers. So the next time an adult asks me what I want to do when
I grow up, I will tell them a job without a desk, in an office full of
people. That's my dream job!
A. The conclusion is effective because it presents interesting information not addressed in the body paragraphs.
B. The conclusion is ineffective because it does not restate the thesis in a new way.
C. The conclusion is effective because it restates the thesis, summarizes the main points, and includes a satisfying close.
D. The conclusion is ineffective because it fails to leave the reader with a thought-provoking question.Which statement best evaluates the effectiveness of the conclusion paragraph?
Thesis Statement: My future job must include human interaction, a
nontraditional workspace, and teamwork.
Main Points:
1. Work with people
2. Work in a nontraditional workspace
Answer:
Were is the question?
Step-by-step explanation:
–8, –4, 0, 4, 8, 12 What do these terms represent? an arithmetic series an arithmetic sequence a geometric series a geometric sequence
Answer:
Arithmetic sequence
Step-by-step explanation:
An list of numbers whereby the difference between each consecutive number is constant is called an arithmetic sequence. Given thelistvif numbers:
–8, –4, 0, 4, 8, 12 ;
We can see that each consecutive number in the list has a constant difference of 4. Hence x this is called an arithmetic sequence.
Navel Laser and Midoriya are doing target practice. In the first round Navel laser scored no points, but in the second round he scored “x” amount of points. In their third round, he scored 8 more points than the second. Now in the last round, he scored three times as many points as the third. Altogether Navel Laser scored 117 points!!! How many points did the Navel Laser score in each round?
Answer:
Round 1 = 0 points
Round 2 = 17 points
Round 3 = 25 points
Round 4 = 75 points
Step-by-step explanation:
Determine how many points will be scored in each round in correspondence to the variable 'x':
Round 1:
0(x)
Round 2:
x
Round 3:
x+8
Round 4:
3(x+8)
We know that the sum of all points made in all rounds is 117. Using this information, we can make an equation:
0(x)+x+(x+8)+[3(x+8)]=117
Now, we solve for x:
x+x+8+3x+24=117
5x+32=117
5x=117-32
5x=85
[tex]\frac{5x}{5} =\frac{85}{5}[/tex]
x=17
Now we substitute the calculated value for x in each round:
Round 1:
0(17)=0
Round 2:
(17)=17
Round 3:
(17)+8= 25
Round 4:
(25)*3= 75
Simplify (Asap️ )
please answer this if you know
(full steps required )
(please no spam answers)
see the attachment hope this helps you
