Answer:
y = 13 × [tex]4^{x}[/tex]
Step-by-step explanation:
Substitute the given values into the exponential
Using (0, 13 ) , then
13 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so
a = 13
y = 13 [tex]b^{x}[/tex]
Using (3, 832 )
832 = 13 b³ ( divide both sides by 13 )
64 = b³ ( take cube root of both sides )
b = [tex]\sqrt[3]{64}[/tex] = 4
The exponential function is
y = 13 [tex](4)^{x}[/tex]
1.
A train travels at a constant rate of 45 miles per hour.
a.
What is the distance, d, in miles, that the train travels in t hours?
How many miles will it travel in 2.5 hours?
b.
112.5 miles in 2.5 hours
Answer:
11.25 miles in 2.5 hoursStep-by-step explanation:
speed × time = distance
45 × 2.5 = 112.5
45 is the speed
2.5 is the time
11.25 is the distance
A store sells a 3 -pound bag of oranges for $3.60 and a 5 -pound bag of oranges for $5.25 . What is the difference between the price per pound for the 3 -pound bag of oranges and the price per pound for the 5 -pound bag of oranges
Answer:
The price of 3 pounds would be $1.20 per pound and the price of 5 pounds would be $1.05 per pound
So, Five pound would cost 15 cents less than the 3 pounds
Step-by-step explanation:
Divide the price by the pounds
Hope this helps
Place the following steps in order to describe how to solve the following equation: 2(2x+3)-2=5
Answer:
0.25
Step-by-step explanation:
First, you distribute the equation.
2(2x+3)-2=5
4x+6-2=5
Then, you combine like terms.
4x+6-2=5
4x+4=5
Next, you subtract 4 from each side.
4x+4=5
4x+4-4=4x
5-4=1
4x=1
Finally, you divide each side by 4.
4x/4
1/4
(4x/4 you'd end up with x)
Answer: x=1/4
Translate the sentence into an equation or formula.
The perimeter P of a triangle is equal to the sum of the lengths of sides a, b, and c.
Answer:
P = a + b + c
Step-by-step explanation:
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer:
Question 1:
A) Perpendicular
Question 2:
B) y = -8 and y = 2
What is the sum of the 15th square number and the 4th square number?
Answer:
241
Step-by-step explanation:
15th squared number = 225
4th squared number = 16
225 + 16 = 241
what is the amount of water in the aquarium at 0 minutes
Answer:
I would guess it would be 0 but is there a graph or background info
?
Step-by-step explanation:
Arrange in ascending order:
7,85,460 ; 7,58,406 ; 7,85,046 ; 7,85,640.
Answer:
7,58,406 , 7,85,046 , 7,85,460 , 7,85,640
Step-by-step explanation:
Which numbers represent the solutions to the inequality below? Check all that apply.
Find three consecutive integers such that twice the first is equal to 17 more than the largest number
smallest is X
middle is X+1
largest is X+2
2X = x+2 + 17
2X = x + 19
x = 19
19. 20, 21
a car is traveling at a steady speed. it travels 2 1/2 miles in 3 1/3 minutes. how far will it travel in 25 minutes. in 1 hour?
Answer:
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.Oct
2.2.10^6 cm in standard notation
Answer:
1000000 or 2200000
Step-by-step explanation:
(im not sure if your asking for 10^6 or for 2.2 times 10^6 so whichever one applies to you
402/3333 simplified please
Answer:
134/1111
Step-by-step explanation:
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact form: [tex]\frac{134}{1111}[/tex]
Decimal form: 0.1206... (repeating)
Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?
Answer:
Step-by-step explanation:
25- guaranteed
$14 on each table waited on
He waited on 17.
17x14= $238 tips
238+25= $263
1. Marques expects to earn $263 on 17 tables
2. He expects to make 25+14t per day.
Find x
Please show your work
Answer:
I think it would be
A= 3/5
B= 7/6
3) A rock is thrown from the top of a tall building. The distance, in feet, between the rock and the
ground x seconds after it is thrown is given by f(x)=-16x2 - 4x + 382 How long after the rock is
thrown is it 340 feet from the ground?
Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
[tex]x = -\frac{7}{4} =-1.75 . or .x= \frac{3}{2} = 1.5[/tex]
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
(hop this helps can I pls have brainlist (crown)☺️)
I will Brainlist Who can Answer this 4 Question Math Match the situation with the corresponding linear system. Write the letter of your answer.
Step-by-step explanation:
6 = b
7 = d
8 = c
9 = a
hope this answer helps you dear...take care and may u have a great day ahead!
The component form of a vector indicates the changes in x and y from the
starting point to the endpoint. What is the component form of this vector?
We will see that the component form of the given vector is <-8, 2>, so the correct option is D.
How to get the component form of the vector?For a vector with starting point (a, b) and endpoint (c, d), the component form is:
<c -a, d -b>
In this case, we can see that the starting point is (4, -1), and the endpoint is (-4, 1)
Then the component form of the vector is:
<-4 - 4, 1 - (-1) > = <-8, 2>
So the correct option is D.
If you want to learn more about vectors, you can read:
https://brainly.com/question/3184914
At last year's company picnic, 25 pounds of ground beef were needed to make 100 hamburgers.
How many pounds of ground beef will be needed this year if 120 hamburgers are to be made?
30 lb
45 lb
50 lb
55 lb]
Answer:
46lb
Step-by-step explanation:
you take twenty five divide by one twenty
Answer:
30lbs your awnser is that 30 pounds
In general, the diameter of a tree trunk increases with age.
What could be the correlation between the diameter of the tree trunk and age for all trees?
0
0.7
−0.7
1
answer is 0.7 ...............
NEED ASAP hurry plz
Write a story that would explain the graph below.
Answer:
A kid leaping happily to home after school
The graph represents the relationship between height and time.
Given that,
A curve has been shown we have to explain the behavior of the curve.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
The curve is shown, where the vertical axis represents the height above the ground and the horizontal axis represents the time. Let's assume a plane of paper is flying, the plane getting a rise and then a certain down and again rise and down as according to the height of the plane.
Thus, the graph represents the relationship between height and time.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
Find the surface area of the square pyramid. Round your answer to the nearest hundredth.
A. 175.42
B. 176.42
C. 185.42
D. 192.42
Answer:
175.42
Step-by-step explanation:
surface area of square pyramid is given by:
Area= s^2 + 2(s)(l)
where s is the base and l is the slant height
in given problem, slant height l is not given, so by using Pythagoras theorem finding l:
c^2= a^2 + b^2
= 8^2 + 4^2
= 48.49
c = 6.96348
Now putting values of s=8 and l= 6.96 in first formula
Area= 8^2 + 2(8)(6.96)
= 64 + 111.41
= 175.42
!
Find the value of X and Y
Answer:
x = 20 , y =43
Step-by-step explanation:
1- 7x-3 + 3x-17 = 180
10x = 200, x = 20
Y = 3x-17 x is 20 so Y=60-17=43
PLEASE HELP ME WILL MARK YOU BRAINLIEST
1.
2(2)^3 - 5(2)^2
2(8) - 5(4)
16 - 20
-4
2.
[ 4(5)^2 + 2 ] / [ 5 + 1 ]
(4(25) + 2) / 6
100 + 2 / 6
102 / 6
17
3.
15 - (-1)^5
15 - - 1
15 + 1
16
Hope this helps!! :)
How do you do this question?
Answer:
The answer is D) 12
There are two trips, but the distances are the same.
Trip #1: uphill, at 9 mph
Trip #2: downhill at 18 mph
Total round trip is 30 minutes.
Since he's going half the speed uphill, Trip #1 takes twice as long as Trip #2.
So if the time for Trip #2 is x, then the time for Trip #1 is 2x.
x + 2x = 30, so x=10
Trip #2 takes 10 minutes.
Trip #1 takes 20 minutes.
Trip #1: 20 minutes at 9 mph = 3 miles
Trip #2: 10 minutes at 18 mph = 3 miles
This means his school is 3 miles away.
If you want an equation to solve,
Let d = distance to school. We use d = r·t formula to set up that t = d/r
let t1 = time going to school and t2 = times going home
t1 + t2 = 30 and t1 = d/9 and t2 = d/18.
d/9 + d/18 = 0.5 (it's 0.5, because we need the time in hours)
mutiply both sides b 18
2d + d = 9
3d = 9
d = 3
PLEASE HELP HELPPPPPPPPP
Answer:
(1,-4)
Step-by-step explanation:
2x+4y=-14
x-2y=9
2x+4y=-14
2(x-2y)=(9)2
2x+4y=-14
2x-4y=18
Add X
4x=4
X=1
Substitute x into any equation
(1)-2y=9
-2y=8
y=-4
6x² +12x²y + 6xy² chỉ tui đi
Answer:
6x(x+2xy+y^2)
Step-by-step explanation:
There are 15 pieces of the same size candy in a bag. Four are banana flavored, three strawberry flavored, six cherry flavored, and two orange flavored. What would be the probability of picking a banana, cherry, or a strawberry flavored candy from the bag? Write your answer as a simplified fraction in a/b form.
Answer:
The answer is 7/15
When President Obama stated, "Transparency and the rule of law will be the touchstones of this presidency," he meant that
Answer:
that what
Step-by-step explanation:
What is the correct number form for ""seven and eighty-three thousandths?""7.8037.0837.837.830
Answer: 7.083
Step-by-step explanation:
Can not be 7.803 because the 8 is in the tens place and the 3 is separated from it. Can't be 7.83 or 7.830 either because the 83 is only in the hundredths place. They are also the same thing seeing as the 0 is not needed, so they are said the same way, which would be seven and eighty-three hundredths.