Solution :
From the given graph the x-intercept is 2 and y-intercept is -1 .
So, equation of line in intercept form is :
[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]
[tex]y = \dfrac{x-2}{2}[/tex]
Now, putting x = 4 in above equation, we get :
[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]
Therefore, the value of function at x =4 is 1 .
The average (also called mean) number of calories I consumed in the last 4 days is 2100. Today I decided to splurge and consumed 3000 calories. What is my new average consumed calories, now accounting for 5 days?
To which graph does the point (−1, 3) belong?
y ≥ 2x + 6
y ≥ 3x − 1
y ≥ −x + 4
y ≥ −2x + 5
Answer:
second option "y ≥ 3x − 1."
Step-by-step explanation:
Just solved it
Lynn is tracking the progress of her plant's growth. Currently the plant is 11 The plant grows 1.2 cm per day. Find an equation that represents the plant's height after any given number How tall is the plant after 9 days?
Answer:
the equation is 11+1.2d= h so the height after 9 days would be 21.8cm
Step-by-step explanation:
Answer:
f(h) = 11 + 1.2h
f(9) = 21.8 cm
Step-by-step explanation:
let 'h' = height
f(h) = 11 + 1.2h
height after 9 days:
f(9) = 11 + 1.2(9)
= 11 + 10.8
= 21.8 cm
Can I get help with number 16.
Philip wants to buy a new video game system that costs
$349.99 including tax. Philip has $125.50 saved. If
Philip mows grass for $15.00 per yard, what is the least
amount of yards he could cut to purchase the new video
game system?
Answer:
I think the answer I think the answer would be 14
Plz help me well mark brainliest if correct
Answer:
B) producers
Step-by-step explanation:
producers use water, air, and sunlight to make there own food and energy.
if the simple interest on $1000 for 10 years is $400, then what is the interest rate?
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time
greater than 1.25 minutes.Find the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes.
Answer:
0.8214
Step-by-step explanation:
We have
F(x) = 1/b-a
With b = 7
And a = 0
Such that we have
1/7-0
= 1/7
Probability of x> 1.25
7-1.25
= 5.75
1/7 x 5.75
= 0.8214
Therefore the probability that a randomly selected passenger has a waiting time more than 1.25 minutes is = 0.8214.
Thank you!
Match each to the best answer.
Name 5 possible values for x from the inequality 2x ≤ 28
Answer:
1, 2, 3, 4, 5
If you substitute these values, it will be below 28
Alternative method:
x <= 28/2
x <= 14
Hence, all values 14 and below can be used
Feel free to mark it as brainliest :D
Demand per hour for gasoline at a local station is normally distributed with a mean of 1510 gallons and std deviation of 57 gallons. What is the probability that demand for a particular hour is greater than 1600 gallons? Enter your answer as a decimal, rounded to 4 decimal places
Answer:
0.057168
Step-by-step explanation:
Given :
Mean = 1510
Standard deviation = 57
P(X > 1600)
To obtain the Zscore we use
(x - mean) / σ
P(Z > 1600) = P(Z > (x - mean) / σ)
P(Z > (x - mean) / σ) = P(Z > (1600 - 1510) / 57)
P(Z > 1.579) = 0.057168 (Z probability calculator)
Can someone answer this?
Answer:
Step-by-step explanation:
6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)
23x+15=360
23x=360-15
x=345/23
x=15
therefore the value of x is 15 degree.
A tray contains 16 cocholate chip cookies and 12 oat meal raisin cookies. HOw many ways cna a child select 3 cookies that include at least 1 chocolate chip cookie
Answer:
there are three ways
Step-by-step explanation:
three choclate chip
two choclate chip one oatmeal rasin
1 choclate chip 2 oatmeal rasin
your friend borrowed 1050 from you to buy a new dirt bike. your friend pays you back the principal plus 7.25% interest per year for 3 years. what is the total amount your friend will owe you at the end of 3 years
Answer:
12.78375
Step-by-step explanation:
7.25% of 10.50 = 0.76125
0.76125 × 3 = 2.28375
10.50 + 2.28375 = 12.78375
So his friend will owe him 12.78375
PLEASEEEEEE PLEASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEEE I REALLY NEED HELPPPPPPPPPP
Answer:
Step-by-step explanation:
4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)
7x+40=180
7x=180-40
x=140/7
x=20
The mean of a standard normal probability distribution _____. a. can be any value b. can be any value as long as it is positive c. is always equal to 1 d. None of these answers are correct.
Answer:
D
Step-by-step explanation:
The mean of a standard normal distribution is always = 0 with the standard deviation being equal to. Therefore a standard normal distribution is a normal distribution described with a mean of 0 and standard deviation of 1. Since a standard normal distribution is centered at the middle with equal distribution to both the left and right of the distribution. The centre point is 0, which is the mean and the standard deviation is 1 to either side of the distribution.
Please help me!
Will give brainlst :)
Answer:
Step-by-step explanation:
Answer:
this is a line with a slope of 1 and a y-intercept of 3
The perimeter of this rectangle is 30 units. How long is the longer side?
a. 24 units
b. 9 units
c. 5 units
d. 6 units
Answer:
b. 9 units
Step-by-step explanation:
30/2 -6 = 15-6 = 9
Answer:
9
Step-by-step explain
6+6=12
12+x=30
30-12=18
18/2 =9
A rectangular prism has a length of 2 feet, a width of 6 feet, and a height of 3, teet. What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
V = 36 ft3
Step-by-step explanation:
2*6= 12
12*3= 36ft
To solve a system of inequalities, you just need to graph each inequality and see wich points are in the overlap of the graphs.
True or false?
This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.
Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.
Would anyone help me with this,please ?
Answer:
angle 2 and 4....1and 3
Step-by-step explanation:
the lines bisects each other forming two equal but adjacent angles which are vertically opposite
Plz help me well mark brainliest if correct,.....???.
Answer:
B: 6
the heights between 45 and 55 are : 46, 49, 50, 50, 52,52
thats 6 students
Step-by-step explanation:
please mark brainliest
Estimate the difference of the decimals below by rounding to the nearest whole number.
23.827
- 1 .218
Answer:
23
Step-by-step explanation:
The difference between the 23.827 - 1.218
23.827 - 1.218 = 22.609
By rounding to the nearest whole number it is 23.
To make a newspaper with 60 pages you need 15 sheets of paper which are on top of each other. Then they are folded together. Page 7 is missing. Which other pages are missing in this newspaper?
Answer: here’s your answer
Step-by-step explanation:
pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53
Find the value of x.
71
O
(16x-2)
x=
Answer:
x = 9
Step-by-step explanation:
m<K = 71°
arc JL = 16x - 2
m<k = ½(arc JL) => inscribed angles theorem
Substitute
71 = ½(16x - 2)
Multiply both sides by 2
71*2 = 16x - 2
142 = 16x - 2
Add 2 to both sides
142 + 2 = 16x - 2 + 2
144 = 16x
Divide both sides by 16
144/16 = 16x/16
9 = x
x = 9
What is the volume of a sphere with a surface area of 25pi / (d ^ 2)
Answer:
B. [tex] \frac{125}{6}* \pi [/tex] yd³
Step-by-step explanation:
Given:
Surface area of a sphere = 25π yd²
Required:
Volume
Solution:
Let's find the radius (r) first.
S.A of sphere = 4πr²
Substitute
25π = 4πr²
Divide both sides by 4π
25π/4π = r²
25/4 = r²
Take the square root of both sides
√25/√4 = r
5/2 = r
r = 5/2 yd
Find the Volume of the sphere
V = ⁴/3*πr³
V = ⁴/3*π*(⁵/2)³
V = ⁴/3*π*125/8
V = ⅓*π*125/2
V = [tex] \frac{1*125}{3*2}* \pi [/tex]
V = [tex] \frac{125}{6}* \pi [/tex] yd³
Confusion...help please
Given:
In triangle KLM, KL = 123 cm and measure of angle K is 35 degrees.
To find:
The length of the side KM to the nearest tenth of a centimeter.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle KLM,
[tex]\cos K=\dfrac{KM}{KL}[/tex]
[tex]\cos (35^\circ)=\dfrac{KM}{123}[/tex]
[tex]0.819152=\dfrac{KM}{123}[/tex]
Multiply both sides by 123.
[tex]0.819152\times 123=KM[/tex]
[tex]100.755696=KM[/tex]
[tex]KM\approx 100.8[/tex]
The measure of side KM is 100.8 cm.
Therefore, the correct option is (2).
Could someone answer for this for me?
root beer is priced at $2.88 for 6 cans
what is the cost of one can?
Answer:
0.48
hope this helps
have a good day :)
Step-by-step explanation:
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
3v+2v–2v