Answer:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursStep-by-step explanation:
Given exponential growth equation:
[tex]y=a(1+r)^t[/tex]
where:
y = total amounta = starting amount r = the growth rate as a decimal t = number of growth periodsIf a sample of bacteria cells in a petri dish increases by 50% every hour, the growth rate is:
r = 50% = 0.5If the starting amount of bacteria cells is 30 then:
a = 30Therefore, the equation that can be used to determine the number of cells after x hours is:
[tex]y=30(1.5)^x[/tex]
where:
y = total amount of bacteria cellsx = number of hoursVictor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest
Answer:
185,500 -.15(185,500)=157,675
Yes he can afford it, it doesn't go over his income and it's %27 below.
Determine if (2, - 1) is a solution 2x - 4y = 8 to the system - 3x + 6
Answer:
not a solution
Step-by-step explanation:
substitute the coordinates of the point into both equations and compare values on both sides. If both equations are true then the point is a solution.
2(2) - 4(- 1) = 4 + 4 = 8 ← true
- 3(2) + 6 = - 6 + 6 = 0 ≠ - 1
then (2, - 1 ) is not a solution of the system
put the equation below into vertex form.
y=(x+9)(x+25)
Answer:
Step-by-step explanation:
simplified?
(7 × 10^7) × (7 × 10^-2)
A circular flower bed is 24m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for pie (round to nearest 10th)
Answer:
163.3m²
Step-by-step explanation:
area = Pi(r²)
r = d / 2
r = 12
12² = 144
144 x 3.14 = 452.16
diameter of bigger circle = 24 + 4 (2 on each side)
28 / 2 = 14
14² = 196
196 x 3.14 = 615.44
sidewalk = bigger - smaller
sidewalk = 615.44 - 452.16
sidewalk = 163.3
Identify the domain and range of the relation.
x −5 −2 1 5
y 10 11 4 10 what is the function
Answer:
Domain: -5, -2, 1, 5
Range: 10, 11, 4, 10
To get the function, you need to create an equation.
Step-by-step explanation:
For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.
Determine whether the following sequence is geometric. If so, find the common ratio,
1.-3.9. - 27,...
Answer:
Yes, the sequence is geometric
common ratio (r) = -3
Step-by-step explanation:
Given:
[tex]a_1=1[/tex][tex]a_2=-3[/tex][tex]a_3=9[/tex][tex]a_4=-27[/tex]If a sequence is geometric, common ratio [tex]r[/tex]:
[tex]r=\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}[/tex]
Substituting the given values:
[tex]\implies \dfrac{a_4}{a_3}=\dfrac{-27}{9}=-3[/tex]
[tex]\implies \dfrac{a_3}{a_2}=\dfrac{9}{-3}=-3[/tex]
[tex]\implies \dfrac{a_2}{a_1}=\dfrac{-3}{1}=-3[/tex]
Therefore, as
[tex]\dfrac{a_4}{a_3}=\dfrac{a_3}{a_2}=\dfrac{a_2}{a_1}=-3[/tex]
the sequence is geometric with common ratio of -3
Triangle ABC has side lengths AB= 25 units, BC = 24 units and AC = 7 units. Triangle ABC is mapped to triangle A'B'C' by a reflection across a
horizontal line and translated left 12 units
What is the length of segment B'C'?
A. 25 units
B. 12 units
C. 24 units
D. 7 units
Answer: C. 24 units
Step-by-step explanation:
C is the correct answer. This is because the length of the segment doesn't change when reflected along the x-axis or translated left or right. The length of a segment only changes if the given figure is stretched or compressed, which doesn't occur in the given case or question.
A and b are supplementary angles. angle a measures 67° what is the measure of angle b
Answer:
113°
Step-by-step explanation:
because supplementary angles add up to 180°
thus if a is 67° then we subtract 67° from 180° and b will be 113°
Question on picture(how the question short bozo)
Answer: The correct answer is C.
Step-by-step explanation: C Shows multiple animals and shows plants. It also shows water which is needed in an ecosystem.
Hope this helps!
PLEASE HELP ASAP NO LINKS
Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10
(В
10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315
function : p(x) = 65 + 25(x)
for 3 sells
p(3) = 65 + 25(3)p(3) = 140for 10 sells
p(10) = 65 + 25(10)p(10) = 315So,
140 ≤ p(x) ≤ 315
Answer:
D) 140 ≤ p(x) ≤ 315
Step-by-step explanation:
Domain
Henry sells 3 to 10 computers per day3 ≤ x ≤ 10Range
To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315Writing linear functions
Use the graph or table to write a linear function that relates y to x
Step-by-step explanation:
3. Slope is postive
x1=6
x2=3
y1=10
y2=6
m=6-10/3-6
m=4/3
y=mx+b find b
10=4/3*3+b
10=4+b
b=6
y=4/3x+b
4.slope is zero
y=b
Y=3
What's the answer?? I really need help
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
A toy is on sale for 15%. If the sales price is $79.90, what was the original price?
helpp mee
Answer:
$94.00
Step-by-step explanation:
First, do [tex]79.9*\frac{100}{85}[/tex]
Then multiply to get your answer of 94.
which of the following statements is true?
Answer:
D. In an axiomatic system, every statement, either its capable of being proven true or false.
Step-by-step explanation:
I'm sure.
A certain type of steel is 65% iron. How many pounds of iron are in 120 pounds of this steel?
= 65% x 120 = 78 pounds of iron
Answer:
78
Step-by-step explanation:
65% of 120 = 78
Answer these questions
Answer:
62
8.8
2.7
Step-by-step explanation:
that should be right. try that out
Answer:
62,8.8,2.8
Step-by-step explanation:
Help as soon as possible thanks
Luke bought a video game system that costs $99.95 and games that cost $19.99 each. Bella bought a game system that costs $125.79 and games that cost $15.99 each. Luke spent no more than what Bella spent.
Which inequality represents this situation?
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
Answer:
a
Step-by-step explanation:
because < means bigger and 125 is bigger than 99
Answer:
99.95 + 19.99x ≤ 125.79 + 15.99y
Step-by-step explanation:
Given:
Luke bought a video game system that costs $99.95 and games that cost $19.99 each.
Bella bought a game system that costs $125.79 and games that cost $15.99 each.
Luke spent no more than what Bella spent.
To Find:
Which inequality represents this situation?
Solve:
Let Luke bought = x.
Let Bella bought = y.
How much Luke paid = $99.95 + $19.99 × x = $99.95 + $19.99x
How much Bella paid = $125.79 + $15.99 × y = $125.79 + $15.99y
Luke paid is equal or lesser than how much Bella paid, then
99.95 + 19.99x ≤ 125.79 + 15.99y
~lenvy~
Need help. can anyone please give an explanation along with the answer?
Answer:
what's the question
Step-by-step explanation:
Use the dot plot to answer the question.
A dot plot that has 3 dots at 1, 4 dots at 2, 3 dots at 3, 4 dots at 4, 5 dots at 5, & 3 dots at 6.
What is the mean of the data set in the dot plot?
Enter your answer as a number rounded to the nearest tenth, like this: 42.5
¡Practicamos!
create 10 sentences answer the questions asked
use this vocabulary:
el menú
la cuenta
el camarero / la camarera
el azúcar
el tenedor
la sal
la pimienta
la servilleta
el cuchillo
la cuchara
el vaso
el plato
la taza
me faltan
le traigo
me trae
de nada
¿algo más?
delicioso
¡Qué rica!
pedir
Tengo calor
Tengo frío
el postre
otro
tengo sueño
ahora
¿Qué desean Uds?
During the party, you will help serve food. To practice, pretend that you have to answer the following questions from guests.
1. ¿Dónde están los platos?
2. Me faltan la sal y la pimienta. ¿Me trae a la mesa?
3. ¡Qué rico! ¿Necesito azúcar o ya estátext annotation indicator en el café?
4. ¿Uds tiene camareros o necesito servir comida para mis niños?
5. Describe el menú por favor.
6. ¿Tienen otros postres con el pastel?
7. Necesito pedir refrescos. ¿Qué tipo tienen Uds.?
8. ¿Dónde están las servilletas?
9. Tengo frío. ¿Tienen Uds. algunas mesas a fueratext annotation indicator, en el sol?
10. ¿Cuál es la comida mejor, que Ud. recomienda?
Answer:
All
Computing
Commerce
verb
past tense: wrote
1.
mark (letters, words, or other symbols) on a surface, typically paper, with a pen, pencil, or similar implement.
"he wrote his name on the paper"
Similar:
put in writing
write down
put down
put in black and white
commit to paper
jot down
note
note down
make a note of
set down
take down
mark down
record
register
log
list
make a list of
inscribe
sign
scribble
scrawl
pencil
2.
compose, write, and send (a letter) to someone.
"I wrote a letter to Alison"
Similar:
correspond
write a letter
communicate
Is -9,8 a solution to y=-9
Answer:
No, it isn't.
Step-by-step explanation:
In (-9, 8), -9 is the x coordinate. The y is 8. In order for -9 to have been a solution, the y would have had to been -9.
Here's what I mean:
(The graph I drew is in the image. I hope it makes sense! Sorry for my bad handwriting, I'm not used to writing on computers.)
I hope this helps!
-No one
Do number 27 please
Answer:
To find the volume of this figure, we must find the base area(pentagon) and multiply it by the figure's height.
Formula for area of a pentagon:-
A = 1/2 x p x a
Where 'p' represents the perimeter, and 'a' represents the apothem.
First, let's figure out the perimeter of the base pentagon.
One side of this pentagon is 10cm, and there are 5 side lengths of 10cm to this pentagon. So it'll result in (5 x 10) = 50cm altogether.
The apothem is given, 6.9cm.
So, we plug these into our formula:-
A = 1/2 x p x a
A = 1/2 x 50 x 6.9
A = 50/2 x 6.9
A = 25 x 6.9
A = 172.5cm, is the area of the pentagon.
Now we find the height of this figure and multiply it by the base area we've found(pentagon).
Our height is 17cm.
172.5(17)
= 2,932.5 cubic centimetres, is our volume.
Rowan has 3 pieces of yarn, as described below. *a red piece of yarn that is 3/4 foot long *a yellow piece of yarn that is 6/8 foot long * a blue piece of yarn that is 4/12 foot long Wich number sentence correctly compares the lengths of 2 of these pieces of yarn. A 3/4 < 3/6 B 4/12 < 3/4 C 3/4 > 6/8 D 4/12 > 6/8
Answer:
b
Step-by-step explanation:
because all the orher ones are wrong and not correct.
Sam rode a bull for 8 seconds.
Maddie rode a bull for 2 fewer seconds than Sam did.
How long did Maddie ride her bull?
Answer:
is it 7?
Step-by-step explanation:
if he rode for 8 seconds and it says she rode for 2 seconds FEWER are you not subtracting from 8 to get 7?
The population of the town of fort mill was 10,811 in 2010. what is the population in 2016 if it grew 7.5% per year
Answer:
16,688 people lived in that town in 2016.
Step-by-step explanation:
10,811 + 7.5% = 11,621.8 = 11,622 (2011)
11,622 + 7.5% = 12,493.6 = 12,494 (2012)
12,494 + 7.5% = 13,431.05 = 13,432 (2013)
13,432 + 7.5% = 14,439.4 = 14,440 (2014)
14,440 + 7.5% = 15,523 (2015)
15,523 + 7.5% = 16,687.225 = 16,688 (2016)
I’m thinking trapezoid and rhombus but I don’t know
A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their originally.
Answer:
10779
i think some error in this question
I neeed helpppppppppppppppppppp
Answer:
1: 1; 3: 4; 5: 3
Step-by-step explanation:
when you have a negative exponent it basically is the regular exponent but the number is put over one
so 2^-2 is 1/2^2 which is 1/4
1/4 * 4 is 1
then for three
you have
(1/2)^-1
when the number is a fraction and you have a negative exponent you can put the number on the top
so this is 2
2 * 2 is 4
for the last one
anything times 0 is 1
this means that the answer is 3
Answer:
1. 1
3. 4
5. 3
Step-by-step explanation:
3.y= 2 (1/2)^x where x= -2
1/2=2^-1
(2^-1)^-1
-1×-1
=1
=2^1
2 (2)
=4
1. y=4 (2)^x
2^-2
1/2^2
=1/4
=4×1/4
=1
5.y=3 (1/3)^X
1/3=3^-1
(3^-1)^0
3^0
=1
3(1)
=3