for function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)
Answer:
[tex]g(3) = 13[/tex]
Step-by-step explanation:
Given
[tex]g(0) = 1[/tex]
[tex]g(1) = 5[/tex]
Required
Find g(3)
Since g(x) is a linear function, then:
[tex]g(x) = mx + c[/tex]
For: [tex]g(0) = 1[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(0) = m*0 + c[/tex]
[tex]1 = 0 + c[/tex]
[tex]1 = c[/tex]
[tex]c = 1[/tex]
For: [tex]g(1) = 5[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(1) = m * 1 + c[/tex]
[tex]5 = m * 1 + c[/tex]
[tex]5 = m + c[/tex]
Substitute [tex]c = 1[/tex]
[tex]5 = m + 1[/tex]
[tex]m = 5 - 1[/tex]
[tex]m =4[/tex]
So, the function is:
[tex]g(x) = mx + c[/tex]
[tex]g(x) = 4x + 1[/tex]
Calculate g(3)
[tex]g(3) = 4*3 + 1[/tex]
[tex]g(3) = 12 + 1[/tex]
[tex]g(3) = 13[/tex]
Can somebody help please?
38% of what number is 171?
Answer:
450
Step-by-step explanation:
We know that 171 is 38%, since they are trying to find the number which is 100%.
38% = 171
1% = 171 ÷ 38 = 4.5
100% = 4.5 x 100 = 450
The height of a plant in centimeters is recorded each day for 10 days. The function y = 1.73x + 1.87 is determined to
be a good fit for the data. On day 6 the recorded height was 12.5 cm. How close is the predicted height to the actual
height of the plant (the residual)?
15 points
Answer: 0.25 cm
Step-by-step explanation: The function y = 1.73x + 1.87 is used as a prediction. Since the answer is asking for how close the predicted height to the actual height is on day 6, we substitute 6 for x.
The function becomes like this:
y = 1.73(6) + 1.87
y = 10.38 + 1.87
y = 12.25
y = 12.25 cm is the predicted height on day 6. The actual height on day 6 recorded is 12.5 cm. We subtract the predicted height from the actual height and get 0.25 cm.
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
hi can you please help me with my work
C=3y
2
+4y+4
D=−7y
2
+3y−6
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
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Step-by-step explanation:
Help me please!!! Fasttt 75 points.
Solve.....
Answer:
-11/12
Step-by-step explanation:
¿Cuál es la diferencia entre
una cadena lineal saturada
y una insaturada?
Los alcanos son un ejemplo de compuestos saturados. ... Un compuesto no saturado o un compuesto insaturado es un compuesto químico que contiene enlaces carbono-carbono dobles o triples, como los que se encuentran en los alquenos o alquinos, respectivamente.
Answer:
Can you do it in english? I can't read in spanish sorry.
A cereal box is 8.5 inches long, 3.5 inches wide, and 12 inches high.
What is the volume of the box?
Answer:
357 in³
Step-by-step explanation:
Sorry that the picture is rotated!
These two polygons are similar.
4
2
16
15
w
w = [?
]
Enter
Answer:
w = 12
Step-by-step explanation:
Answer:
W=9
Step-by-step explanation:
[tex] \frac{2}{6 } = \frac{4}{12} = \frac{3}{9} [/tex]
so W= 9
g Cell phones. Following are last year's local monthly bills, in dollars, for a random sample of 50 cell phone users. 32.88,31.09.16.13,104.2,47.65,116.96,61.97,43.74,13.52,15,37,30.09,16.93,44.67,28.08,64.68, 16.17,28.04,57.67,14.62,61.32,35.64,88.95,50.48,16.41,16.56,13.48,27.10,15.50,19.95,23.45,4 6.24,41.8,49.35,81.16,28.80,32.48,28.95,31.60,35.6,24.74,44.82,51.62,42.04,22.43,46.54,48.3 2,24.53,77.21,15.12,126.84 At the 5% significance level, do the data provide sufficient evidence to conclude that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37
Answer:
At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37
Step-by-step explanation:
The given data are presented as follows;
32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84
We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.
The given sample size = 50
The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01
The standard deviation of the given data, s ≈ 26.59
The null hypothesis, h₀; μ = 47.37
The alternative hypothesis, hₐ; μ < 47.37
The significant level, α = 5%
Therefore, we have;
The test statistics is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
Plugging in the values gives;
[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]
The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551
Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.
What number does 0.023 round to when rounded to the nearest hundredth?
Answer:
.02
Step-by-step explanation:
Can someone help me out here please?
Step-by-step explanation:
Area of circle:
A=π*(r^2)=π*(16^2)=256π ft^2
Area of the figure:
A=(3*256π)/4=192π=603.185=603.18 ft^2
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Answer:
V = 9/2 ft^3
Step-by-step explanation:
[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]
I hope that is useful for you :)
Cars A and B leave the same place and travel in the same direction along a straight road. Car A travels at 60 km/h and car B travels at 72 km/h. After how long will they be at 8km apart
The difference in speed of the two cars is 72-60 = 12 km per hour.
The time they would be 8 km apart would be 8/12 = 2/3 of an hour
1 hour = 60 minutes
60 minutes x 2/3 = 40 minutes.
The cars will be 8 km apart in 40 minutes.
Answer:
After 40 min they will be 8km apart
Step-by-step explanation:
Car A is traveling 1km per minute Car B is traveling 1.2km per minute, so Car B will gain 1km on Car A every 5 min. To be 8km apart, you calculate 5min x 8 = 40 min
Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
10 cm
Which is the best estimate of the area of the figure in square centimeters?
A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
i think you meant whats the probabilty of it being red
if thats what you meant, then it would be:
total number of marbles : 18
number of red marbles: 6
probability of the green marbles: 6/18
so the answer is 1/3
8. You deposit $1600 in a bank account. Find the balance after 3 years. The account pays 2% annual interest compounded
quarterly.
Can Someone Help Me Pleaseee. ?
Question 8: 10 pts
Find the magnitude and direction of the vector <3,9>. Round angles to the nearest degree and other values to
the nearest tenth.
Answer:
9.5; 72˚
Step-by-step explanation:
find the value of x
help me pls!!
Answer:
x = 31
Step-by-step explanation:
These angles are complementary so:
2x + x - 3 = 90
3x - 3 = 90
3x = 93
x = 31
HHEEELLPPP!!!!! The probability of the spinner landing on an even number or a multiple of 3 is . The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is .
Answer:
Down below
Step-by-step explanation:
The probability of the spinner landing on an even number or a multiple of 3 is ___?
1/6
1/3
1/2
2/3
5/6
The probability of the spinner landing on an even number or a multiple of 3 is ___?
13/18
1/3
7/9
2/3
5/6
Answer:
2/3 and 7/9
Step-by-step explanation:
got it correct on plato
Find the volume of the following figure using unit cubes.
Answer:
Volume : 94
Step-by-step explanation:
2(4 x 5) = 40
2(3 x 5) = 30
2(3 x 4) = 24
------------------
40 + 30 + 24 = 94
Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.
If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Convert the cartesian coordinate to the polar coordinate. Then we have
[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]
Then 90° counter-clockwise about the origin, then the angle will be
θ = 326.31 + 90 = 431.31
But θ is from 0 to 360. Then
θ = 431.31 - 360 = 56.31
Then convert the polar coordinate to the cartesian coordinate. Then we have
x = r cosθ
x = 3.61 × cos 56.31
x = 2
and
y = r sinθ
y = 3.61 × sin 56.31
y = 3
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
Answer:
-2,-3
Step-by-step explanation:
HELP THIS IF IS FOR MY NEXT YEAR CLASS LEVEL
Answer:
there is no question? may u add one plz so i can help?
Step-by-step explanation:
Answer:
huuhhh i dont get it and whers the question¿¿¿
I really need help with this
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
what is 3√500 in simplify form
answers
5√4
4√5
25√5
100√5
Answer:
30[tex]\sqrt{5}[/tex]
Step-by-step explanation:
3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]
Answer:
none of the above
30√5
Step-by-step explanation:
3 √500
3√25x4x5
3x5x2√5
30√5
Which number line shows the solution to the inequality -4x + 3 < -5
Answer:x>2
Step-by-step explanation:
4x/4>8/4
Which scenario could be represented by the algebraic expression n minus 13? Ariel wants to find the difference of a number and 13. Ariel wants to find the product of 13 and a number. Ariel wants to find the sum of a number and 13. Ariel wants to find the difference of 13 and a number. HELPPPPP
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
a
Step-by-step explanation: