Awnser:
The awnser is: D(5) = 600
Step-by-step explanation:
The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home.
According to the question,
She is 600 meters far from school after 5 minutes,
That tells that, when it is 5 min the distance left is 600 m, i.e, 5 minutes is input and 600 is output.
Hence, The equation function showing that “Jada is 600 meters from school after 5 minutes” is D(5) = 600.
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Brenda purchased a new watch in 2012. The value of her watch, t years after she bought
it, can be modeled by the function A(t) = 117(0.93)
Drag and drop the correct number or phrase to left of each sentence to make the
sentence true for the function
Answer:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
Step-by-step explanation:
The rate of change in the value of the watch is modeled by 0.93.
The rate of change represents a decrease in value.
The rate represents a 7% change per year.
The following information should be considered:
Since the function A(t) = 117(0.93)So it means that the rate of change should be modeled by 0.93.There is the reduction in the value. Also it is 7% change per year.learn more: https://brainly.com/question/834969?referrer=searchResults
1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.
Answer:
A)
Each landing is about 17 inches.
B)
The vertical rise from Floor 1 to Floor 2 is about 7 feet.
Step-by-step explanation:
Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)
Part A)
So, we want to find the length of [tex]\ell[/tex].
Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.
Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]
Solve for [tex]\ell[/tex]. Cross-multiply:
[tex]\displaystyle \ell\tan(30.20)=10[/tex]
So:
[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]
The landing space per step is about 17 inches.
Part B)
We know that there are a total of 12 feet of horizontal space total for each landing.
12 feet is equivalent to (12)(12) = 144 inches.
Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.
Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.
How many gallons of a 50% antifreeze solution must be mixed with 80 gallons of 30% antifreeze to get a mixture that is 40% antifreeze? Use the six-step method.
You need ___ gallons.
Alex started a new social media account, which he uses to post pictures of cute animals. On the first day, he had only 8 followers. However, his account became popular very quickly and his number of followers tripled every day. Identify the recursive function that gives the number of followers he has after n days.
Answer:
[tex]T_n = 3T_{n-1}[/tex]
Step-by-step explanation:
Given
[tex]T_1 = 8[/tex] -- First term
[tex]r = 3[/tex] --- rate
Required
Determine the recursive term
We have:
[tex]T_1 = 8[/tex]
The second term to the nth term is:
[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]
[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]
[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]
Using the above yardstick:
[tex]T_n = T_{n-1} * 3[/tex]
[tex]T_n = 3T_{n-1}[/tex]
Answer:
4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.
On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.
Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.
Thus, the recursive function is
f(1) = 8
f(n) = 3 f(n-1) if n > 1.
Option D is the correct answer.
Step-by-step explanation:
A chameleon is looking for prey. Let positive numbers represent the elevation of prey above the chameleon and negative numbers represent the elevation of prey below the chameleon. The chameleon spots a fly at 4 \text{ m}4 m4, start text, space, m, end text and a grasshopper at -6\text{ m}−6 mminus, 6, start text, space, m, end text. What does an elevation of 0 \text{ m}0 m0, start text, space, m, end text represent in this situation?
Answer:
B: The elevation of the chameleon
Step-by-step explanation:
The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)
Also,
The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)
ඞHope this helps u because i got dis question from Khan Academyඞ
carlos put a total of 1/8 lb of gravel into 6 fishtanks he put the same amount of gravel into each tank how many pounds of gravel did carlos put into each fish tank
Answer:
(1/8) / 6 =
1/8 * 1/6 =
1/48 of a lb per fish tank <==
plz give brainlest
Step-by-step explanation:
HELP!!!!!! Due in 30 mins
Answer: Bianca is right.
Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]
If car a drive 300 miles and 6 hours and karbi drive 50 miles in a certain amount of time what is the unknown
Answer:
1 hour
Step-by-step explanation:
300/6= 50
in one hour he drives 50 miles
so the answer is 1 hour
Please help worth lot of points
Answer:
y=1
Step-by-step explanation:
The numbers are all even, so if you are looking for what is in the middle of 2 lines then you would use a odd number.
Help me out to get this math problem solve
Answer:
1. 1900 children.
2. 600 adults.
Step-by-step explanation:
Let c represent the number children.
Let a represent the number of adult.
From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:
2500 = c + a ..... (1)
From the question given above, we were told that:
Cost per child = $ 2
Cost per adult = $ 4
Total amount collected = $ 6200
Thus, we can write the above as:
6200 = 2c + 4a .....(2)
Summary:
2500 = c + a ..... (1)
6200 = 2c + 4a .....(2)
1. Determination of the number of children that attended the fair.
From equation 1
2500 = c + a
Make a the subject by rearranging
a = 2500 – c ....... (3)
Substitute the value of 'a' in equation 3 into equation 2
6200 = 2c + 4a
a = 2500 – c
6200 = 2c + 4(2500 – c)
Clear bracket
6200 = 2c + 10000 – 4c
Collect like terms
6200 – 10000 = 2c – 4c
–3800 = –2c
Divide both side by –2
c = –3800 / –2
c = 1900
Thus, 1900 children attended the fair
2. Determination of the number of adults that attended the fair.
Substitute the value of c into equation 3.
a = 2500 – c
c = 1900
a = 2500 – 1900
a = 600
Thus, 600 adults attended the fair.
Please help...........
Answer:
x = 59.4°
Step-by-step explanation:
Reference angle = x
Side opposite to x° = 22
Adjacent side = 13
To find x, apply trigonometric ratio formula. Thus:
[tex] tan(x) = \frac{22}{13} [/tex]
[tex] x = tan^{-1}(\frac{22}{13}) [/tex]
[tex] x = 59.4 [/tex] (nearest tenth of degree)
Please help me I’ll give you brainliest
Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
What is 3x-6+7y-4y plsssssssssss helpppppppp meeere
Answer:
3
+
3
−
6
Step-by-step explanation:
Please help!!! Will give brainliest!!!
Answer:
Solutions are x=-3, and x = 4.
Step-by-step explanation:
Factor left side of the equation
(x+3)(x-4) = 0
Set Factors Equal To Zero
x + 3 = 0 x - 4 = 0
x = -3 or x= -4
Place these numbers in order from small to big. 35% , 36/100, 4/25, 0.85, 2.6, 0.1
Answer:
0.1, 4/25, 35%, 36/100, 0.85, 2.6
Step-by-step explanation:
What is the slope of the line which passes through (1, 4) and (0, 1)?
plsss i beg u hrlppp
Answer:
Step-by-step explanation:
collinear means co:together, or with like a coworker, and linear:line(s)
since points a, o, and d are on the same line, they are indeed collinear
triangle CDE is an equilateral since lines CE and ED are equal. 180/3 is 60, therefore each angle of triangle CDE has 60 degrees
triangle BCE: a right triangle.angle B is 90 degrees, C is 60 degrees E is 30 degrees.
Triangle ABE is a obtuse triangle, one angle is an obtuse angle, hence the name.angle A seems to be 120 Degrees and Angles Band E seem to be 30 degrees each
One season, the Cougars won 20 games. They played a total of 25 games.
Use the equation 20 + g = 25 to find g, the number of games the team lost.
Answer:
The team lost 5 games
Step-by-step explanation:
Hope i helped
Find cos(a) in the triangle.
The value of Cosα from the triangle is 21/29
ABC is a right angled triangle
We have to find the Cosα
We know that cosine function is a ratio of adjacent side and hypotenuse
Let us find the value of Cosα
The adjacent side of angle α is 21
The hypotenuse is 29 in the triangle
Cosα = Adjacent side/hypotenuse
Plug in the values of adjacent side and hypotenuse
Twenty one divided by twenty nine
=21/29
Hence, the value of Cosα from the triangle is 21/29
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13. Becky is playing with marbles. Of the marbles 2/3
of them are green. Among the green marbles, 1/4
of them also have polka-dots. What fraction of
Becky's marbles are green and have polka-dots?
Answer:
2/3 x 1/2 = 1/6
Step-by-step explanation:
write the slope of x+2y=16 pls help fast
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.
[tex]x+2y=16[/tex] [subtract both sides by x]
[tex]2y=-x+16[/tex] [divide both sides by 2]
[tex]y=-\frac{1}{2}x+8[/tex]
Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.
Step-by-step explanation:
x+2y=16
-× -×
2y=-x+16
÷2. ÷2
y=-1/2x+8
slope is -1/2
5x - 10y=-20
5x + 3y = 6
Show work
Answer:
5x -10y= -20
5x + 3y = 6
-(5x + 3y=6)
5x-10y=-20
-5x-3y=-6
-10y -3y = -20 -6
-13y=-26
y= -26/-13
y=2
5x-10(2)=-20
5x-20=-20
5x=-20-20
5x=-40
x= -40/5
x= -8, and y= 2
Solve for x.
3x + 9
x=
33
27
30
Answer:
27
Step-by-step explanation:
3x + 9 = 90
3x = 90 - 9
3x = 81
x =27
Expand the logarithm. Simplify, if possible.
log7(49^w)
Step-by-step explanation:
Let x = log7(49^w).
We have 7^x = 49^w.
=> 7^x = (7^2)^w
=> 7^x = 7^2w.
=> x = 2w.
Therefore log7(49^w) = 2w.
PLEASE HELP ME,I’ve been trying all morning
If f(x)= x^2 + 2x + 5, what is f(x + 3)?
Answer:
Step-by-step explanation:
f(x) = x² + 2x + 5
f(x+3) = (x+3)² + 2(x+3) + 5
= (x²+6x+9) + (2x+6) + 5
= x² + 8x + 20
Answer:
you sure its not f(x+3) ?
Step-by-step explanation:
The equation of the line?
Answer:
○ [tex]\displaystyle y = 2x + 7[/tex]
Step-by-step explanation:
Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:
[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]
I am joyous to assist you at any time.
what am i supposed to put in that chart?
Answer:
as explained
Step-by-step explanation:
as in the photo i've shown :
i've shown the table for you both
i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.
for first one
if x=2 replace x=2 in f(x) you will get f(2)=4
f(3)=1
f(4)=0
f(5)=1
f(6)=4
Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)
Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5
2 + 6d = _____ d = 8
Answer:
The answer is 50 :)
Step-by-step explanation:
Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.
Homework help ???????????
Answer:
15
Step-by-step explanation:
The calculation is:
endamount - startamount divided by number of days.
(237-27) / 14 = 15
Answer:
237 - 27 = 210 (she already had 27 to start, so subtract that from the total)
210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)
so she bought 15 stickers each day
