Th y intercept of the table is:
(23-9)/(9-2)= 14/7=2
The answer is:
A
y=x+9, because the y-intercept of the function represented by the table of values is 2
The function f(x) = -5x² + 20x + 55 models the height of a ball x seconds after it is thrown into the air. What is the total time that the ball is in the air?
Answer:
The ball is in the air for about 5.873 seconds.
Step-by-step explanation:
The function:
[tex]f(x)=-5x^2+20x+55[/tex]
Models the height of a ball x seconds after it is thrown in the air.
And we want to find the total time the ball is in the air.
So, we can simply find the time x at which the ball lands. If it lands, its height f above the ground will be 0. Thus:
[tex]0=-5x^2+20x+55[/tex]
We will solve for x. Dividing both sides by -5 yields:
[tex]0=x^2-4x-11[/tex]
The equation is unfactorable, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -4, and c = -11. So:
[tex]\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-11)}}{2(1)}[/tex]
Evaluate:
[tex]\displaystyle\begin{aligned} x&=\frac{4\pm\sqrt{16+44}}{2}\\&=\frac{4\pm\sqrt{60}}{2}\\&=\frac{4\pm2\sqrt{15}}{2}\\&=2\pm\sqrt{15}\end{aligned}[/tex]
Approximate:
[tex]x_1=2+\sqrt{15}\approx5.873\text{ or } x_2=2-\sqrt{15}\approx-1.873[/tex]
Since time cannot be negative, our only solution is the first choice.
So, the ball is in the air for about 5.873 seconds.
1. To the nearest hundredth, what is the value of x?
Answer:
41.51
Step-by-step explanation:
cos(41)=x/55
x=cos(41)*55≈41.51
i think the answer is option b
2 elephants and 15 tigers plus 4 elephants equal?
Answer:
6 elephants + 15 tigers
Step-by-step explanation:
(Im assuming that the animals are meant to be variables)
X = elephants, y = tigers
2x + 15y + 4x
Combine like terms: 2x + 4x +15y
Simplify: 6x + 15y
Consider the following graph, which details the population of a city over time. A line graph titled Population (thousands) has year on the x-axis and number on the y-axis. The points are connected by a line that gradually increases. What aspect of the graph is likely being emphasized by the choice of graph style, choice of scale, and so on? a. the sharp differences between individual data points b. the disjoint nature of the data collected c. the strong distinction between each year’s data d. the extended, continual growth of the population
Answer:
d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
edge 2020/21
Which are equivalent expressions?
Check all that are true.
2a · 2b = 2ab
6a = 6 · a
5a = 5 + a
3ab = 3c
2a · b = 2ab
Answer:
6a=6.a I think is true cause it's like the same thing
Do not give me any links or files.
Find the surface area of a sphere with radius 9 using the formula SA=4nr2
Leave answer in terms of n
A. 20 n units2
B. 25 n units2
C. 100 n units2
Answer:
972 u³
Step-by-step explanation:
The radius is 9 . We can use formula ,
⇒ V = 4/3 π r³
⇒ V = 4/3 × π × 9³
⇒ V = 4 × π × 81 × 3
⇒ V = 972 unit³
A survey of 120 twelfth-graders finds that 36% were carrying more than $15 on the day of the survey. Use the margin of error to complete the following. Round to the nearest whole percent. An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is ?
Answer:
An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960
Step-by-step explanation:
For example, Condition 1: n(.05)≤N
• The sample size (10) is less than 5% of the population (millions of musicians), so
the condition is met.
• Condition 2: np(1-p)≥10
• =
2
10
= .2
• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not
met.
It would not be practical to construct the confidence interval.
What is 2/5% as a fraction?
Find the area of the rhombus . Each indicated distance is half the length of its respective diagonal.
12ft
5ft
Given:
The length of diagonals of a rhombus are 12 ft and 5 ft.
To find:
The area of the rhombus
Solution:
Area of a rhombus is:
[tex]Area=\dfrac{d_1d_2}{2}[/tex]
Where, [tex]d_1,d_2[/tex] are two diagonals of the rhombus.
It is given that the length of diagonals of the rhombus are 12 ft and 5 ft.
Putting [tex]d_1=12,d_2=5[/tex], we get
[tex]Area=\dfrac{12\times 5}{2}[/tex]
[tex]Area=\dfrac{60}{2}[/tex]
[tex]Area=30[/tex]
Therefore, the area of the rhombus is 30 square ft.
!!HELP ME PLEASE I CANT MISS ANYMORE!!
Which graph shows an even function?
*click the image*
The graph that shows an even function is the fourth image.
What is an Even Function?This refers to the type of function where f(x)=f(−x) has an unchanged value even if the sign of the independent variable was in reciprocals.
Hence, we can see that from the given images of graphs, we can see that the other options do not have a symmetrical axis with respect to the y-axis, but option D has symmetry with the y-axis.
Read more about even functions here:
https://brainly.com/question/3964641
#SPJ2
Please help I am stuck at 34 points I need atleast an 80 by today!!
Answer:
12 mi
Step-by-step explanation:
Suppose you travel 55 mi/h. How many hours would it take you to go 275 mi?
Answer:
5 hours
Step-by-step explanation:
275 mi/(55mi/h)=5h
or to put it simply 275/55=5
Miss Solan is buying doughnuts and coffee for her classes. The total came out to $32.12. If the coffee costs $5.96 and each doughnut is $1.09 ,how many doughnuts did she buy?
Answer:
24
Step-by-step explanation:
First, start off by subtracting the cost of the coffee ($5.96) from the total cost of $32.12. This would give you $26.16. From here, if you multiply 24 by the cost of each doughnut ($1.09) you would get $26.16 which is the total amount of money that was spent on doughnuts. Miss Solan bought 24 doughnuts.
Which two of the following numbers are rational?
1/3
.10
.π
√2
Answer:
1/3, 0.10
Step-by-step explanation:
Rational numbers can be expressed as a fraction of two integers.
1/3 is rational. When it is expressed as a fraction, it's 1/3. 1 is an integer, and 3 is an integer
0.10 is rational. It can be rewritten to be expressed as the fraction 1/10; 1 is an integer, and 10 is an integer.
.[tex]\pi[/tex] is irrational, because when expressed as a fraction, it is 1/[tex]\pi[/tex]. 1 is an integer, but [tex]\pi[/tex] is not. Both numbers need to be integers in order to be rational. Therefore, it is irrational
√2 is irrational. When expressed as a fraction, it's √2/1. √2 is not an integer. 1 is an integer. However, both numbers have to be integers in order to be rational. Therefore, √2 is not rational.
HELP ASAP TIMED!!!!!!!!!!!!!!!
Answer:
x = 12.3
y = 15.9
Step-by-step explanation:
Apply trigonometric ratio to find x and Reference angle = 51°
Opposite side length = x
Adjacent side length = 10
Hypotensive length = y
✔️To find x, apply TOA:
Tan 51° = Opp/Adj
Tan 51° = x/10
x = Tan 51° × 10
x = 12.3 (nearest tenth)
✔️To find y, apply CAH:
Cos 51° = Adj/Hyp
Cos 51° = 10/y
y × Cos 51° = 10
Divide both sides by Cos 51
y = 10/Cos 51
y = 15.9 (nearest tenth)
The scatter plot shows the relationship between annual salary and years of experience was
the scatter plot?
A)
1 to 15 years of experience
B)
8 to 12 years of experience
a
$10,000 to $90,000 annual salary
D)
$40,000 to $60,000 annual salary
Answer:
B) 8 to 12 years of experience. Enjoy the answer
Step-by-step explanation:
Answer:
$40,000 to $60,000 annual salary
Step-by-step explanation:
A cluster is formed when several data points lie in a small interval. The range of the cluster is the set of y-coordinates.
looooooooooooooooooooooooool
Answer:
D.5/36
Step-by-step explanation:
There are 5 ways;
1 and 5
2 and 4
3 and 3
4 and 2
5 and 1
Maureen worked 28 hours last week. Her hourly rate is $7.12. What did she earn last week? (do not include dollar sign or comma in answer)
Answer:
199.36
Step-by-step explanation
Take hourly wage and multiply it by the total number of hours worked
28*7.12=199.36
Answer:
199.36
Step-by-step explanation:
Just multiply.
Can I have brainliest?
What is the measurement of this angle?
:type answer below.
Answer:
115
Step-by-step explanation:
It looks like 115 degrees
Answer:
115 degrees
Step-by-step explanation:
solve for the length of KM.
Answer:
KM = 29Step-by-step explanation:
Use Intersecting chords theorem and find x:
JU * LU = MU * KU10*2x = 9(2x + 2)20x = 18x + 182x = 18x = 9Find KM:
KM = 2*9 + 2 + 9 = 29Step-by-step explanation:
➡JU×LU=MU×KU
➡10×2x=9(2x+2)
➡20x=18x+18
➡20x-18x=18
➡2x=18
➡x=18/2
➡x=9
KM=KU+UM
➡KM=9+2(9)+2
➡KM=9+18+2
➡KM=29
13
Find the percent of change in the time to run a
mile from June to September. Round to the
nearest tenth of a percent. (Hint, make sure
change each to seconds first!)
7:45
(5:57
June
September
Answer:
23.225%
Step-by-step explanation:
Runtime in June (x1) = 7:45 = (7 * 60) + 45 = 465
Runtime in September (x2) = 5:57 = (5*60)+57 = 357
Percentage change in Runtime :
[|x2 - x1|÷ x1] * 100%
[|357 - 465| ÷ 357] * 100%
108 / 465 * 100%
0.23225 * 100%
= 23.225%
for brainiest:):):):):):):):):)
Answer:
1=80%
2=44%
3=11%
4=15
5=30%
6=21%
7=2%
8=9%
Step-by-step explanation:
Hopefully they are all correct but I tried my best
987 mm = ___ cm
hurry i need help.
Answer:
987 milmeters equal to 98.7 centimeters
Step-by-step explanation:
To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.
Hope that helps!
What is the solution? (Look at picture)
Answer:
(1,-1)
Step-by-step explanation:
The solution is where the two graphs cross.
The two lines cross at x=1 and y = -1
(1,-1)
Could someone help me, please?
Answer:
33°
Step-by-step explanation:
<ACD =90-33 =57°
<DCB=<ACB - <ACD
=90° -57 =33°
In triangle ACD the only angle that has not been found is <ACD so you find it by adding 90+33 and subtracting from 180° to get 57°. <ACB =90° and <ACD = 57° ,the angle in question is<DCB which is part of< ACB. So to get <DCB you do 90°-57°=33°.
B = 180 - 90 - 33 = 57°
C in DCB tringle = 180 - 90 - 57 = 33°
So C in DCB triangle = 33°
(x²y−3y²+5xy² )−(−x²y+3xy² −3y² )
Answer:
=2xy²+2x²y
Step-by-step explanation:
Delete the parenthesis of both operations.
= x²y - 3y² + 5xy² + x²y - 3xy² - 3y²
Then you have to make the simplification
= 2xy²+2x²y
Someone help and PLZ make sure it’s RIGHT :)
Answer:
The Answer's no i believe
Answer:
I think yes
Step-by-step explanation:
If im wrong i am very sorry!
A spinner is evenly divided into 9 sections and numbered from 1 through 9. What is the probability of spinning a number less than 5 in a single spin?
Answer:
2
Step-by-step explanation:
Count the spins
In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%
Answer:
D. 30%?
I'm not 100% sure but I think its D. Sorry if it's wrong.
Which equation best represents the data in the function table
Answer:
y = x² + 1
Step-by-step explanation:
y = x² + 1
When x = -3
y = -3² + 1
y = 9 + 1 = 10
When x = -1
y = x² + 1
y = -1² + 1
y = 1 + 1 = 2
When x = 0
y = x² + 1
y = 0² + 1 = 1
When x = 2
y = x² + 1
y = 2² + 1
y = 4 + 1 = 5
All of the x and y values have been correct
Answer:
A
Step-by-step explanation:
the others will not produce the correct value for the image ((y)), if you replace the incognito x in the equation by the -3, you can see that you only obtain the result 10 for y in the first equation. you don't even need to test all the cases.
-3.-3 +1 = 10
-3.-3 + 2 = 11
-3.-3 -1 = 8
-3.-3 -3 = 6
