Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a.6, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing there are currently 15 stray dogs, and it is estimated that the population will triple every year.
How many dogs will there be after 1 year? 2 years? 3 years?
1) a =
4) Dogs after 1 years =
2) b =
5) Dogs after 2 years =
3) Equation:
6) Dogs after 3 years =
Answer:
Directions - Identify the key components, create an exponential equation, then answer the questions.
Exponential Form: y=a\cdot b^{x},\ a\ is\ the\ \textit{starting}\ \textit{value},\ b\ is\ the\ base\ (rate).\y=a⋅b
x
, a is the starting value, b is the base (rate).
In a small town, the stray dog population is rapidly increasing. there are currently 15 stray dogs, and it is estimated that the population will triple every year. How many dogs will there be after 1 year? 2 years? 3 years?
1) a = 15
4) Dogs after 1 years = 45
2) b = 3
5) Dogs after 2 years = 135
3) Equation:
y= 15 ×3x
6) Dogs after 3 years =
405
Step-by-step explanation:
Can someone help me ASAP!!
Answer:
UR in trouble
Step-by-step explanation:
Look, the First order is the biggest force in the galaxy.
Now, it is gonna send a star destroyer to ur house and blow it up.
2a) Solve using substitution.
y = 2
2x + 2y = 10
Explain how you got the answer please step by step
Answer:
3
Step-by-step explanation:
2x+2 x 2= 10
2x + 4 = 10
-4 -4
2x= 6
divide them by 2 to get x by itself
x=3
I NEED HELLLLPPPP:(((((
Answer: C. -1
Step-by-step explanation: -1 is your "a" value and is your leading coefficient.
Hey guys I need help on question 38 and 39 please! :)
A gardener measured the heights of two plants at the end of every week. The function y=3x+8.5 gives the hight of plant a in centimeters at the end of x weeks. The function y= 2.5x+14.5 gives the hight of plant b in centimeters at the end of x weeks
Answer:
12 weeks
Step-by-step explanation:
Step one:
given data
let the heights of the plants be y
and the number of weeks be x
Plant A
y=3x+8.5--------------1
Plant B
y=2.5x+14.5----------2
Required
The number of weeks taken for both plants to have the same height
,equate the two expressions above
3x+8.5=2.5x+14.5
3x-2.5x=14.5-8.5
0.5x= 6
divide both sides by 0.5
x= 6/0.5
x= 12 weeks
the volume of cylinder can be 1.5litre and area of its base is 77 . find its height
Answer:
20.07 cm³
Step-by-step explanation:
Volume of Cylinder = 1.54 liters = 1540 cm³.
Area of its base = 77 cm².
πr² = 77
(22/7) * r² = 77
r = 4.94
Now,
Volume of cylinder = πr²h
⇒ 1540 = (22/7) * (4.94)² * h
⇒ h = 20.07 cm³
Deon has taken a car loan for $1800. To pay the loan off in 12 months, how much would he have to pay per month?
Variable: x = amount to pay per month
Answer:
$150 per month
Step-by-step explanation:
If you divided 1800 by 12 you will get 150 so therefore he needs to pay $150 per month.
There are 15 fruits in a bowl and 3 of them are apples. What percent of the fruits in the bowl are apples?
Answer:
20 percent of them
Step-by-step explanation:
3/15=1/5=20%
Grocery Mart has cookies on sale for $3.84 for 12 cookies. Food Shoppe has cookies on sale for $5.70 for 19 cookies. Which store has a better deal on cookies?
Grocery mart:
12÷$3.84=3.125
Food Shoppe:19÷$5.70=3.333
so grocery mart is cheaper by
0.2075333333
Answer:
grocery mart has cookies on sale for $3.84 is a better deal
Step-by-step explanation:
41. Write a proof of the theorem that states if an angle of a quadrilateral is supplementary to both of its consecutive angles, the quadrilateral is a parallelogram.
Given: m∠F + m∠G = 180, m∠F + m∠J = 180
Prove: FGHJ is a parallelogram
What statement proves the theorem?
A. By the Angle Addition Postulate m∠F = m∠J and m∠G = m∠H. So, by the definition of a parallelogram, FGHJ is a parallelogram.
B. By the Converse of the Same-Side Interior Angles Postulate, FJ|| GHand FG||JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
C. By the Polygon Interior Angle-Sum Theorem, m∠F + m∠G + m∠F + m∠J = 360. So, by the definition of a parallelogram, FGHJ is a parallelogram.
D. By the Converse of the Same-Side Interior Angles Postulate, FJ = JH andFG=JH. So, by the definition of a parallelogram, FGHJ is a parallelogram.
Answer:
B.
there's proof that opposite sides are parallel so it must be a parallelogram
Step-by-step explanation:
A class of 36 students has 18 boys. What is the ratio of girls to boys? What is the ratio of boys to girls?
Answer:
18:18
Step-by-step explanation:
You first do 36-18 and then add your answer with the 18 to check it and correct it.
Lauren wants to build a model
airplane using a scale where 2 inches
represents 15 feet. If the airplane is
75 feet long, how long should the
model be?
Answer:
Step-by-step explanation:
you got this i believe in you!
Elsa received a $70 gift card for a coffee store. She used it in buying some coffee that cost $8.69 per pound. After buying the coffee, she had $43.93 left on her
card. How many pounds of coffee did she buy?
Answer:
3
Step-by-step explanation:
70 - 8,69 - 8,69 - 8,69
You substracted it 3 times which means your answer is 3 pounds
Please help me out with this one, I don't know how to do this one
Answer:
3/14 or about 21%
Step-by-step explanation:
Just divide the number of black cars by the total number of cars.
15/70 = 3/14
8c-72=-2(6x-9)-4c fast
Answer:
2c+15/2
Step-by-step explanation:
According to the Center for disease control, 15% of US adults are estimated to have a chronic kidney disease. A random sample of 150 US adults are selected. What is the probability that exactly 35 have chronic kidney disease
Answer:
[tex]P(X=35) =0.2\%[/tex]
Step-by-step explanation:
From the question we are told that
Sample space n = 150
Sample percentage p = 0.15
Generally people without the disease in the set is give as X
[tex]X= 1-p[/tex]
[tex]X= 0.85[/tex]
35 have kidney disease,
[tex]P(X=35) = C(150,35)*(0.15)^35*(0.85)^115[/tex]
[tex]P(X=35) = 0.0021[/tex]
[tex]P(X=35) =0.2\%[/tex]
Joe wants to buy the new Air Jordans for $170. He has saved up $180 by plowing driveways. He knows that he will have to pay 7.5% tax. Will Joe have enough money to buy the sneakers?
Answer:
No
Step-by-step explanation:
This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.
Given z1 =9+9/3i and z2 = 2+/3i, what is z2-z1?
8+7/3i
-7-8/3i
7+ 10/3i
-7+ 10/3i
Answer:
z2 - z1 = 7/3i
Step-by-step explanation:
Given the following complex number:
z1 = 9+i/3i
z2 = 2+i/3i,
Taking the difference
z2 - z1 = 9+i/3i - (2+i))/3i)
z2-z1 = (9+i-(2+i))/31
z2 - z1 = 9+i -2-i/3i
z2-z1 = 9-2/3i
z2 - z1 = 7/3i
Note that the complex number given was not properly written and the ones used were assumed. Same procedure an be used for other complex numbers that might be given.
i need the answerrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
The first number is zero, and the second number is 17
Step-by-step explanation:
If we triple the first number (which is zero), it would still equal zero. Then, if you double the second number the answer would be 34.
have a good day!! :)
Help! Plz!!!!!!!!!!!!!!!!!!!!!!
Answer:
girl literally I have the same thing omg
Answer:
What grade is this? Do you have to simplify or something?
Can you guys please answer this it is due in 15 mins I really need help with all of them!
Answer:
3) is D
4)is A
5)
6)B
Step-by-step explanation:
hdhhdhdjd
4 + x/7 =2
Solve
a -14. b 10. c 12 d 42
Answer:
-14
Step-by-step explanation:
4 + x/7 =2
x/7= -2
x= -2 * 7
x=
-14
Joey built a skateboarding ramp. The base of the ramp along the ground is 13 feet, and the top of the ramp is 7 feet off the ground. What is the length of the ramp's incline?
Answer:
14.77 feet
Step-by-step explanation:
Using the pythagoras theorem to get the length of the ramp
l² = 13² + 7²
l is the length of the ramp
l² = 169 + 49
l² = 218
l = √218
l = 14.77 feet
Hence the length of the ram is 14.77 feet
Please help! To determine the height of the CN Tower in Toronto, Ontario, Canada a person stands away from the base of the tower and measures the angle of elevation to the top of the tower to be 60°. After moving 118 meters closer to the tower, the angle of elevation to the top of the tower is 70°. A. How tall is the CN tower? B. How far was the person standing from the base of the tower when each angle measurement was taken?
Answer:
A right triangle is formed by the tower, a point 1000m from the tower
Use the tangent. let h = the height of the tower
tan(28.81) = h%2F1000
h = 1000 * tan(28.81)
h = 550 meters
Step-by-step explanation:
Point S is on line segment \overline{RT}
. Given ST=3x-8,ST=3x−8, RT=4x,RT=4x, and RS=4x-7,RS=4x−7, determine the numerical length of \overline{RT}.
RT
.
.
Answer:
RT = 20
Step-by-step explanation:
Point S is on line segment
R------------S------------T
RS + ST = RT
Given
ST=3x-8
RT=4x
RS=4x-7,
Step 1
We find x
4x - 7 + 3x - 8 = 4x
4x + 3x -7 - 8 = 4x
7x - 15 = 4x
7x - 4x = 15
3x = 15
x = 15/3
x = 5
Step 2
We find RT
RT = 4x
x = 5
RT = 4 × 5
RT = 20
The numerical length of RT is 20
at the grocery sale you want to buy 4 and 9 tenths lb of cheese what decimal should the digital scale show
Answer:
4.9 lb
Step-by-step explanation:
Tenths are the first place after the decimal point.
A square has a side length of 13 meters. What is the area of the square?
If the dimensions of the square are doubled, what will be the area of the new square?
Answer:
Area of original = 169m^2
Area of new = 676m^2
Step-by-step explanation:
Area of a square = (length of side)^2
13^2 = 13 * 13 = 169
If the dimension is doubled:
(2*13)^2 = 26^2 = 676
Answer:
G00D LuCk
Step-by-step explanation:
Feel free to fail
Miles per Hour, Inches per Second, Feet per Min are all examples of ?
Which value of x from the set (5, 6, 7, 8) makes this equation true?
3x24
O A 5
OB. 6
O c. 7
OD
8
Answer:
D. X = 8
Step-by-step explanation:
Reason: 8 x 3 Would get you 24