The equation of an exponential function will be y = 7.68 × 2.5ˣ.
What is equation of line?
The equation of line with slope m and passes through the point (x₁, y₁) is calculated as;
y - y₁ = m (x - x₁)
Given that;
An exponential function passes through the points (2, 48) and (5, 750).
Now, The exponential function is;
y = abˣ
Where, a and b are unknowns.
Hence, For the point (2, 48), we get the equation;
48 = ab² .. (i)
And, For the point (5, 750), we get;
750 = ab⁵ .... (ii)
Solve the equation (i) for value of a, we get;
48 = ab²
a = 48/b²
Substitute in equation (ii);
750 = ab⁵
750 = (48/b²) b⁵
750 = 48 b³
b³ = 750/48
Take cube root both side;
b = 5/2
Hence, a = 48/b² = 48/(5/2)²
a = 48 × 4 / 25
a = 7.68
Thus, After substitute the value of a and b we get the exponential equation as;
y = 7.68 × 2.5ˣ
Therefore, The equation of an exponential function will be,
⇒ y = 7.68 × 2.5ˣ.
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the circumference of a circle is about 29.202 inches. the circles area is about ___ square inches.
use 3.14 for pi.
round your answer to the nearest tenth.
Answer:
110
Step-by-step explanation:
really Gregg gift vg6
A cylinder has a base radius of3 and a hight of 20m what is its volume in cubic m,to the nearest tenths
Answer:
hi
Step-by-step explanation:
Answer:
V = 565.5
Step-by-step explanation:
Cylinder Formulas in terms of r and h
Calculate the volume of a cylinder: V = πr2h Calculate the lateral surface area of a cylinder (just the curved outside): L = 2πrh Calculate the top and bottom surface area of a cylinder (2 circles): T = B = πr2 Total surface area of a closed cylinder is: A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)If your input is 7 what is your output?
Answer:
the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32
USE Six digits are given. 7 2 0 6 8 4 Answer the questions about these digits. Be sure to use commas when writing your numbers. a. What is the greatest 6-digit number that can be written with the given digits? b. What is the least 6-digit number that can be written with the given digits? c. What is the difference between these two numbers?
Answer:
a) 888,888
b) 200,00
c) 888,888-200,000=688,888
step-by-step explanation:
the biggest number possible is 888,888 because 8 is the largest number and the question doesn't say that you have to use each number
200,000 is the smallest number because outside 0, 2 is the second-smallest number, and since 000,000 isn't a number 200,000 is the next best thing
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
The table below shows the transportation method of all of the employees who work at the mall. What percent of employees walk to work?
Car: 758
Bus: 530
Walk: 7
Other: 105
Answer:
0.005 or 0.5% walk
Step-by-step explanation:
Total:
758 + 530 + 7 + 105 = 1400
To find how many employees walk:
7/1400 = 0.005
The town provides free lemonade for people at the parade. Marty determines how much lemonade to order. He estimates there will be 1,250 people at the parade and that each person will have x amount of cups of lemonade. He uses his estimate and also orders an additional 150 cups of lemonade. He determines that he needs an amount of lemonade equal to 1,087.5 cups. Write an equation that can be used to determine the value of x. PLEASE HELP ME. I'VE ASKED A LEAF BLOWER.
Answer:
x = 1,087.5 /1250
Step-by-step explanation:
If there are 1250 at the parade and each person needs x amount of cups
total amount of cups needed = 1250x
total cups needed = 1,087.5
therefore - 1250x = 1087.5
x = 1087.5 / 1250
The square root of x is less than or equal to 6, select all that apply. Answers: 22 77 1296 -2 17 36
Answer:
The answer is "36"
Step-by-step explanation:
Given:
[tex]\to \bold{\sqrt{x} \leq 6}[/tex]
Square the above value:
[tex]\to (\sqrt{x})^2 \leq (6)^2\\\\\to x \leq 36\\\\[/tex]
Find the median of the data set.
{28,36,78,22,65,38,49,36}
Answer:
37 because 37 was in the middle of all these value when placed dorm smallest ro biggest
first to answer correclty gets brainelist! thx pls help:)
Answer:
Its C
Step-by-step explanation:
6.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 212; your car travels 212 miles.
B. 1/53; Your car travels 53 miles every 1 hour.
C. 53/1; Your car travels 53 miles every 1 hour.
D. 10; your car travels for 10 hours.
Answer:
D. 10; your car travels for 10 hours.
Step-by-step explanation:
Parallelogram Properties - Angles
Answer: x=30°
Step-by-step explanation:
A parallelogram always add up to 360°.
Opposite angles like F and H are always the same, so H=150°.
150+150=300 (what angles F and H add up to)
So we can do:
360-300=60
Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.
We can check this by adding up all of the sides:
150+150+30+30=360°
Hope this helped :)
Angels ABC and DEF are supplementary angles. The measure of angle ABC, in degrees, is given by the expression 2x + 10. The measure of angle DEF, in degrees, is given by the expression 3x - 15. What is the value of x?
Answer:
x = 31°
Step-by-step explanation:
Recall ;
Supplemtary angles summ up to 180°
Given that :
ABC and DEF are Supplementary angles and hence sum up to 180°
ABC + DEF = 180°
(2x + 10) + (3x + 15) = 180
2x + 10 + 3x + 15 = 180
2x + 3x + 10 + 15 = 180°
5x + 25° = 180°
5x = 180 - 25
5x = 155
x = 155 / 5
x = 31°
what is 2/4 + 1/4 + 1/4
Answer:
4/4 or 1
Step-by-step explanation:
You can convert these fractions into decimals if decimals are easier for you to work with:
2/4 = .50 or 50
1/4 = .25 or 25
.50 + .25 + .25 = 1.00
Please help me will mark brainest
Answer:
your work is hard
Step-by-step explanation:
I’m doing a map test for math
Answer:
good luck
Step-by-step explanation:
400ml of squash is made by mixing 50ml of cordial with water. what fraction of the drink is water?
3) Sumalee's school is selling tickets to the annual dance competition. On the first day of ticket sales the school
sold 8 senior citizen tickets and 10 child tickets for a total of $162. The school took in $180 on the second
day by selling 10 senior citizen tickets and 10 child tickets. What is the price each of one senior citizen
ticket and one child ticket?
Answer:
$380
Step-by-step explanation:
add the money then add the other numbers
0.051x40(0.5+0.01)x40 using distributive property
Answer:
41.616
Step-by-step explanation:
Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y=-0.6875x -1.8125
y= -11/16x -29/16
Step-by-step explanation:
.find the slope and y intercept form equation from the table
Answer:
y = 4x - 26
Step-by-step explanation:
The change in y is 4 when the change in x is 1.
So the slope is change in y/change in x = 4/1 = 4
y = mx + b
30 = 4(14) + b
30 = 56 + b
b = - 26
Therefore, y = 4x - 26
HELP ME PLEASE I NEED THE ANSWERS ASAP. geometry
Answer:
[tex]6\pi[/tex], 6pi
Step-by-step explanation:
The area of the full circle would be [tex]\pi *4^{2}[/tex], which is [tex]16\pi[/tex]
A full circle is 360 degrees. Since we are only taking a part of that, 135, we would put it in a fraction. [tex]\frac{135}{360}[/tex]
Last, multiply 16pi and 135/360 since we are taking a part of 16pi.
[tex]16\pi *\frac{135}{360}[/tex]
[tex]\frac{2160\pi}{360}[/tex]
[tex]6\pi[/tex]
HELPP ME PLEASE!!!
(don’t answer if you don’t know/for points,or i’ll report you.)
Answer:
4) -15 + (3)
Step-by-step explanation:
1: -9-(-9) = -9-9 = 0
2: -2-(6) = -2-6 = -8
3: 15 + (-7) = 15 - 7 = 8
4: -15 + (-3) = -15-3 = -18
-18 is the smallest value
The number of shelves, s, in a bookcase and the number of books, b, the bookcase can hold
Answer:
whats the question
Step-by-step explanation:
Please help! 15 points!
Answers:
(a) Area: 2108 in² Perimeter: 192 in
(b) Area
(c) perimeter
Step-by-step explanation:
To find the area, you do 34 × 62
To find the perimeter you do 34 + 34 + 62 + 62
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation:
7) Usain Bolt is almost 7 foot tall. What is this height (approximately) in meters?
Answer:
since 7 feet is 2.1336
aproximatly would be 2.08 rounded 2 meters
Step-by-step explanation:
URGENT PLS HELP: If the transit telescope is 4.5 feet above the ground at the first location during this reading, how wide is the trench? (ANSWER FOR 30 POINTS)
Answer:
37.45'
Step-by-step explanation:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
i need help with this please
Answer:
diameter = 24 yards
Step-by-step explanation:
C = π·d
75.36 = 3.14d
d = 75.36/3.14
d = 24
933 months
years
months
Answer:
933mounths=77years and 9 mounts
Answer:
[tex]77\frac{3}{4}[/tex] years = 933 months
77.75 years = 933 months
Step-by-step explanation:
1 year = 12 months
y = 933 months
[tex]\frac{1}{12}= \frac{y}{933}[/tex]
12 × y = 933 × 1
12y = 933
12y ÷ 12 = 933 ÷ 12
y = 77.75
Find the area of the parallelogram. 9 m 2 m A = b.h • 9 m?
Answer:
2.9
18 [tex]m^{2}[/tex]
Step-by-step explanation:
I need the answer pls
Answer:
Mean = 25, Median = 21, Mode = 38, Range = 23
Step-by-step explanation:
sort from smallest to greatest
15, 18, 19, 21, 26, 38, 38
mean = [tex]\frac{sum}{# of terms}[/tex] = [tex]\frac{175}{7}[/tex] = 25
median = middle = 21
mode = more than 1 of the same # = 38
Range = largest - smallest = 38-15 = 23