Answer:
a = 249 and b = 1.16
Step-by-step explanation:
Consider the provided information.
The exponential function for growth is: [tex]y=a(1+ r)^x[/tex]
Here, a is the initial value and r is the rate of change.
It is given that the number of birds is 249.
It means a = 249
The rate is given 16%
r=0.16
Put the value of a and r in the above formula.
[tex]y=249(1+0.16)^x[/tex]
[tex]y=249(1.16)^x[/tex]
Now we will compare it with the exponential function form [tex]y=ab^x[/tex]
Therefore, a = 249 and b = 1.16
Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-
A problem contains the points (0,0),(1,-2) and (-1,-4). What is the equation of this parabola in standard form?
Answer:
The general equation of the parabola y = -3 x² + x
Step-by-step explanation:
Step(i):-
Given points are (0,0) , (1, -2) and ( -1 , -4 )
Given the standard parabola
y = ax²+ b x + c ...(i)
Passing through the point (0,0)
c = 0
Passing through the point (1,-2)
-2 = a(1) +b(1)
a + b = -2 ...(ii)
Passing through the point (-1, -4)
- 4 = a - b
a - b = -4 ...(iii)
Step(ii):-
Adding (ii) and (iii) equations , we get
2 a = -6
a = - 3
substitute a = - 3 in equation (ii)
-3 + b =-2
b = -2 + 3 = 1
Final answer:-
The general equation of the parabola
y = ax²+ b x + c
y = -3 x² + x + 0
y = -3 x² + x
Help plz I need to fin before today help
Answer:
BD = 12.1 (nearest tenth)
Step-by-step explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)
2. What is the largest decimal in hundredths rounded to 0.5?
3. One centimeter is equivalent to about 0.3937 inch. Round off the given equivalent to the nearest hundredths.
4. Mrs. Edlagan has a total deposit of Php 50 766.25. The annual interest at 3% simple interest is Php 1 522.9875. Round the interest off to the
nearest hundredths and thousandths.
Answer:
In mY Knowledge
answer of 2) 0.49
3) 0.39
4) 50 766.20 and 1 522.9878
hope it helps :D
am I too late to answer this!?
The given numbers can be rounded off by using the rules of rounding off to the nearest hundredths and rounding off to the nearest thousandths.
Rules for rounding off to the nearest hundredths are:
Rule 1 - In rounding off to the nearest hundred, the digit at tens place is in between 0 to 4 then replace that digit by 0.
Rule 2 - In rounding off to the nearest hundred, the digit at units place is replaced tens place digit by 0 if the digit is greater than or equal to 5 and hundreds place digit is increased by 1.
Rules for rounding off to nearest thousandths:
Rule 1 - In rounding off to nearest thousandths, if the digit at hundreds place is in between 0 to 4 then it is replaced by 0.
Rule 2 - In rounding off to the nearest thousandths, if the digit at hundreds place is greater than or equal to 5 then increase it by 1.
2). The largest decimal in hundredths rounded to 0.5 is 0.49.
3). One centimeter is equivalent to about 0.3937 inches. So, the given equivalent rounding to the nearest hundredths is 0.39.
4). The number 50766.25 rounded to the nearest hundreds is 50766.20 and the number 1522.9875 rounded to the nearest thousandths is 1522.9878.
For more information, refer to the link given below:
https://brainly.com/question/2096984
1) Working alone, Ryan can dig a 10 ft by 10 ft
hole in five hours. Castel can dig the same
hole in six hours. How long would it take
them if they worked together?
Step-by-step explanation:
(Ryan+ castel)/2
(5+6)/2
11/2
5.5 hrs or 5½ hrs
Help me please ASAP PLEASE BRAINLIEST ANSWER
Answer:
the answer is d im srry if im wrong
Step-by-step explanation: they all are going upwards brainliest plss
Answer:
hello this is my other account so yea i hope your happy with your brainliest im about to give you
Step-by-step explanation:
What is the slope of h(x)?
Answer:
slope=-2/5
Step-by-step explanation:
rise -2
run 5
Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to
identify the triangle as scalene, isosceles, or equilateral.
K(7,0), L(3, 4), M(2, -1)
Answer:
Step-by-step explanation:
KL = [tex]\sqrt{(3-7)^2 +(4-0)^2}[/tex] = 4√2
LM = [tex]\sqrt{(2-3)^2 +(-1-4)^2}[/tex] = √26
KM = [tex]\sqrt{(2-7)^2 +(-1-0)^2}[/tex] = √26
ΔKLM is isosceles.
Answer:
Triangle KLM is isosceles.
Step-by-step explanation:
Hope this helps.
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answer: it is 1,3,4
Step-by-step explanation:
Position
1 2 3 4 5 n
Value of term
2 12 17 22 27
Note: It seems the first term of your sequence is 7 instead of 2. So, I am assuming you meant the sequence such as;
7, 12, 17, 22, 27
Answer:
The expression for the nth term of the givens sequence is:
[tex]a_n=5n+2[/tex]Step-by-step explanation:
Given the sequence
7, 12, 17, 22, 27
Here, the first element of the sequence is:
[tex]a_1=7[/tex]
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5,\:\quad \:27-22=5[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=5[/tex]
so substituting d = 5 and [tex]a_1=7[/tex] in the nth term to determine the expression
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=5\left(n-1\right)+7[/tex]
[tex]a_n=5n+2[/tex]
Therefore, the expression for the nth term of the givens sequence is:
[tex]a_n=5n+2[/tex]Given the functions f(x)=1/2x+6 and g(x)=5x-1, evaluate f(4)
Answer:
f(4) = 1/2 * 4 + 6 = 8
Step-by-step explanation:
f(x)=1/2x+6
f(4) = 1/2 * 4 + 6 = 8
Are trying to evaluate f*g(4) ?
please help me please will give brainliest to
Answer:
the answer is 32 square inches
Explanation:
Divide the shape into a rectangle and a square
Area of the rectangle = 20 square inches
Are of the square = 12 square inches
Add both the areas
= 20 square inches + 12 Square inches
= 32 square inches
Select the correct answer from each drop-down menu.
In this graph, the y-intercept of the line is . The equation of the line is y = x .
Answer:
The y-intercept is -2 and the equation is y=x-2
Step-by-step explanation:
-That's where the line crosses the y axis.
-The equation is y= x -2 because it has a rise/run of 1/1 which is just 1 and the y intercept is -2
( I'm so sorry I totally missed the second part of the question lol)
Answer:
Step-by-step explanation:
Which expression shows 20% of 60?
a) 1/4 • 60
b) 1/20 • 60
c) 1/5 • 60
d) 1/50 • 60
Answer:
C | 1/5
Step-by-step explanation:
There are 5 20s in 100. Meaning if you only have one 20, it'd be 1/5.
Answer:
C: 1/5 · 60
Step-by-step explanation:
I got it right on I-ready.
Hope this helps!
From: Aug1e
Given f(x)=3x−2, find f(−5).
Step-by-step explanation:
f(x)=3x-2
f(-5) means that x equals -5
All you would need to do is substitute -5 into the equation
3(-5) - 2
-15-2
-17
f(-5) is -17
Answer:
-17
Step-by-step explanation:
f(-5) means plug -5 for x
thus f(-5) = 3(-5) -2 = -17
If 18 apples are to be packed 6 to a bag, then how many bags are needed?
Answer:
3
Step-by-step explanation:
18 divided by 6 is 3, im not very good at explaining-
Keri has two pencils. Her yellow pencil measures 1/4 of a foot, and her green pencil measures 2/3 of a foot. How much shorter is Keri's yellow pencil than her green pencil?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} - \frac{1}{4}[/tex]
Common Denominator:
[tex]\frac{8}{12} - \frac{3}{12}[/tex]
Subtract the numerator, the denominator stays the same.
[tex]\frac{5}{12}[/tex]
2х+3= -6x -29
how do i solve this?
Answer:
x= -4
Step-by-step explanation:
I hope this helps, have a great day/night :) !
Answer:
x = -4
Step-by-step explanation:
2x + 3 = -6x - 29
2x + 6x = -3 - 29
8x = -32
x = -32/8
x = -4
Hope this helps :D
if 2x°,3x°, (2x°+10°) and x°+30° are the size of angles of a quardilateral, find them.
Answer:
40 degrees
Step-by-step explanation:
2x + 3x + 2x + x + 10 + 30 = 360
Combine like terms
8x + 40 = 360
8x = 360 - 40
8x = 320
x = 320/8
x = 40
40 degrees
Please Rate and Mark as Brainliest!
Pls help and show workings
Answer:
x = 30
Step-by-step explanation:
Since RQ bisects ∠ PRS, then
∠ SRQ = ∠ PRQ , substitute values
3x - 20 = x + 40 ( subtract x from both sides )
2x - 20 = 40 ( add 20 to both sides )
2x = 60 ( divide both sides by 2 )
x = 30
(2 + 1/2) = (1 + 2/3) / y
Answer: y= 0.64 is the answer
PLEASEEE HELP!!!! WILL GIVE BRAINLEST
SHOW ur work!
Answer:
The answer is 16.
Step-by-step explanation:
When you calculate the ratio of 42:28, you would get 3:2. divide 24 by 3, and you get 8. Then multiply 2 by 8 you get 16.
If y − 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
A. {(0, 3), (1, 6), (2, 9)}
B. {(3, 0), (6, 1), (9, 2)}
C. {(1, 3), (2, 6), (3, 9)}
D. {(3, 1), (6, 2), (9, 3)}
Answer:
A. {(0, 3), (1, 6), (2, 9)}
Step-by-step explanation:
All you have to do is substitute them
A.
y − 3 = 3x
3 - 3 = 3 (0)
0 = 0
y − 3 = 3x
6 - 3 = 3 (1)
3 = 3
y - 3 = 3x
9 - 3 = 3 (2)
6 = 6
__________________________________________________________
B.
y - 3 = 3x
0 - 3 = 3(3)
-3 = 6
You can tell that this one can't be one of the answer which means that B wont be the answer, so you don't have to do anymore work for this one.
__________________________________________________________
C.
y - 3 = 3x
3 - 3 = 3(1)
0 = 3
This one can't be an answer either
__________________________________________________________
D.
y - 3 = 3x
1 - 3 = 3(1)
-2 = 3
And this one can't be an answer either
__________________________________________________________
This concludes, that A will be the answer here since all of the ordered pair can be x and y when you use the inputs and outputs that were given.
Hope this helped!
35 POINTS.!!!!! PLEASE HELP MEEEEEEE.!!!!!
Select the correct shapes.
Select the shapes that are similar to shape A.
The pink shape is the shape that is the exact shape.I'm pretty sure the purple and blue shape are smaller points of the shape though.
find the value of X
Answer:
B X equals 3
Step-by-step explanation:
e3quals 3
3
2 X-3
5
S
[tex]2( \frac{x - 3}{5} ) = x - \frac{3}{5} [/tex]
Answer:
x=-1
Step-by-step explanation:
Given,
[tex]2(\dfrac{x-3}{5})=x-\dfrac{3}{5}[/tex]
To Find : x
[tex]\dfrac{2(x-3)}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x-6}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x}{5}-\dfrac{6}{5}=x-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x}{5}-x = \dfrac{6}{5}-\dfrac{3}{5}[/tex]
[tex]\dfrac{2x-5x}{5} = \dfrac{6-3}{5}[/tex]
[tex]\dfrac{-3x}{5} = \dfrac{3}{5}[/tex]
[tex]x = -1[/tex]
Hence, the value of x is -1.
What is the ratio of the average number of catfish to the average number of all fish in the samples?
1:4
3:10
2:5
6.33:20
Pweeze help and I will give brainliest
Answer:
Part A) plot 1 and -2.5.
B) The opposite of 2 is -2. The only number that has its own opposite is 0. The first statement is false.
The opposite of 1.5 is -1.5, so the opposite of the opposite of 1.5 is equal to the opposite of -1.5, which is 1.5. The second statement is true.
Hope this helps sorry for not answering earlier
Which expression is equivalent to 4 (2p+4q)?
A 4p + 169
B 8p + 49
2p+ (3p + 169)
None of the above
Answer:
None of the above.........
La floristería de Rosalina vende rosas por docenas. El viernes Rosalina recibió un pedido de 21 docenas de rosas. ¿Cuántas rosas necesita Rosalina para cumplir el pedido? A 144 rosas B 212 rosas C 252 rosas D 262 rosas
Rosalina's florist sells roses by the dozen. On Friday Rosalina received an order for 21 dozen roses. How many roses does Rosalina need to fulfill the order? A 144 roses B 212 roses C 252 roses D 262 roses
Given that,
Rosalina received an order for 21 dozen roses
To find,
Number of roses.
Solution,
We know that,
1 Dozen = 12 items
We need to find number of roses in 21 dozen roses.
21 dozen = 21 × 12
= 252 roses
Hence, 252 roses Rosalina need to fulfill the order