Given:
The growth of a sample of bacteria can be modeled by the function
[tex]b(t)=100(1.06)^t[/tex]
where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,
[tex]b(t)=100(1.06)^t[/tex]
Here, b(t) number of total bacteria after t hours.
Substitute t=3 in the given function, to find the number of total bacteria after 3 hours.
[tex]b(t)=100(1.06)^3[/tex]
[tex]b(t)=100(1.191016)[/tex]
[tex]b(t)=119.1016 [/tex]
Therefore, the number of total bacteria after 3 hours is 119.1016.
what is 100+100+56+88+90=
then divide all of the numbers
Answer:
86.8
Step-by-step explanation:
100+100+56+88+90
divide the answer by 5
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation: (
100+100=200
200+56=256
256+88=342
342+90=432
432/5= 86.4
how do you solve this pls help!!!
Answer:
y = 1
x = -0.75
Step-by-step explanation:
The alternate angles theorem states that if two parallel lines are cut by a transversal, then each pair of alternate interior angles are equal.
21y - 1 = 4x + 23
21y - 24 = 4x
5.25y - 6 = x
21y - 1 = 4x + 23
21y = 4x + 24
y = 4/21(5.25 - 6) + 1.14
y = 1 - 1.14 + 1.14
y = 1
5.25(1) - 6 = x
-0.75 = x
PLEASE HELP MEEE!!! Algebra 2.HELP
Patrick recently bought food for his family reunion. He bought a total of 23 hot dog and hamburger packs. The hot dogs cost $3 each and the hamburgers cost $5 each, he spent a total of $95. How many hot dogs and hamburgers did he buy each?
Write this as a linear equation (_x+_y=_) There should be two of them. PLEASE HELP ME! ITS MY LAST QUESTION ON THISSS
Answer:
3(x)+5(y) = 95
Step-by-step explanation:
I'm pretty sure this is correct, maybe double check, but I hope this helps :)
X is the amount of hotdogs bought, and y is the amount of hamburgers bought.
Consider the function represented by the equation y-6x-9=0. Which answer shows the equation written in
function notation with x as the independent variable?
YUX) = 6x+9
10 = x+
10 = 6 +9
Answer:
F ( x ) = ( 6 x +9 )
Step-by-step explanation:
Change to slope-intercept form y = mx + b:
y - 6x - 9 = 0
y = 6x + 9
As function notation where x is the independent variable: f(x) = 6x + 9
What is the value of the expression below when z = • 3?
622 + 2z + 10
Answer:
632.6
Step-by-step explanation:
Z = .3 right? It looks weird on my screen
Anyway, if z is .3 than this is how to solve
First you plug in 0.3 where the z would go, making the expression 622 + 2(0.3) + 10. Then you solve! (below)
622 + 2(0.3) + 10.
622 + 0.6 + 10.
622 + 10 + 0.6
632 + 0.6
632.6
I hope this helped! If you have any questions, feel free to message me :)
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the nearest cent if necessary. $26.85 $28.91 $437.78 $439.85At Appliance Market, a salesperson sells a dishwasher for $569. She gets a commission rate of 18 percent. Which expression represents how much she will receive in commission from the sale? 569 (0.18) 569 (0.72) 569 (1.18) 569 minus left-bracket (569) (0.18) right-bracket
Answer: See explanation
Step-by-step explanation:
1. Cost = $413
Sales percent = 6.5%
Cost of bike = $413 + (6.5% × $413)
= $413 + (0.065 × $413)
= $413 + $26.845
= $439.85
2. Cost of dishwasher = $569
Commission rate = 18%
The expression for the commission will be:
= 18% × $569
= 18/100 × $569
= 0.18($569)
Answer:
D
Step-by-step explanation:
2 intersecting lines are shown. A line with point T, R, W intersects a line with points S, R, V at point R. Clockwise, from the top left, the angles are (2 x + 10) degrees, blank, blank, (x minus 10) degrees. What is the measure of angle TRV? 20° 50° 60° 130°2 intersecting lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. 4 angles are created. Clockwise, from the top, the angles are blank, (x + 15) degrees, blank, (2 x minus 20) degrees. What is mAngleMHJ? 35° 50° 72.5° 92.5°
Answer:
Step-by-step explanation:
a) sum of angle on the straight line TRW is 180.
Given <TRS = 2x+10
<SRW = x-10
<TRS+<SRW = 180
2x+10+x-10 = 180
3x = 180
x = 180/3
x = 60°
<TRV = 180°-(2x+10)
Substitute x = 60° into the expression
<TRV = 180-(2(60)+10)
<TRV = 180-(120+10)
<TRV = 180-130
<TRV = 50°
2) From the diagram attached <MHJ= <LHK (oppositely directed angle)
Given
<MHJ= x+15
<LHK = 2x-20
Substitute the given data into the formula to get x
x+15= 2x-20
x-2x = -15-20
-x = -35
x = 35°
Next is to get the measure of <MHJ
<MHJ = x+15
<MHJ = 35+15
<MHJ = 50°
3(x + 4) – 4= 2(x + 4) + x
Answer:
No solution
Step-by-step explanation:
3x+12-4=2x+8+x
3x+8=2x+8+x
3x+8=3x+8
sub tract 3x on both sides and poof
we get 8 =8
High Hopes^^
Barry-
please help
Solve the equation. 5( 3x - 2 ) - 7 = 23
X= 8/3 :)) hope this helps !
(02.02 MC) A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice Does a possible solution of (12.36) make sense for this function? Explain your answer.
Answer:
D step by step explanations
You work 4 hours on Saturday and 7 hours on Sunday. You also receive a $35 bonus. If your paycheck was for $142.25, how much do you make an hour?
Answer:
9.75
Step-by-step explanation:
first we are going to subtract the bonus
142.25 -35 = 107.25
assuming that you are not takeing breaks you work a total of 11 hours (7+4)
so 11/107.25 = 9.75
so you would make 9.75 an hour before taxs
1.95 × 10^5 in standard form?
You may need to remove the comma
=============================================
Explanation:
Start with 1.95 and move the decimal point 5 spots to the right to get 195,000
Or you could have this as your steps maybe
1.95 × 10^5
1.95 × 100,000
195,000
The exponent over the 10 tells us how many spaces to move. If the exponent was negative, then we would move the decimal point to the left.
What is the sum of this expression?
2 1/16 + 7 3/8
A. 9 1/4
B. 9 7/16
C. 9 3/4
D. 9 7/8
Answer: [tex]9\frac{13}{24}[/tex]
Step-by-step explanation:
Add 2 and 7.
9
Add 1/16 and 3/8 = 13/24
9 13/24 is the answer.
Answer:
b. 9 7/16
Step-by-step explanation:
2 1/16 + 7 3/8
= 33/16 + 59/8
= 33/16 + 118/16
= 151/16
= 9 7/16
(5x² + 8x - 3) + (2x² - 7x + 13x)
Answer:
Simplify the expression.
7x2+14x−3
Step-by-step explanation:
The required simplification can be given as 7x²+ 14x - 3
What is simplification?
The operation in mathematics to process and interpret the relation to make function simple or more simple is called simplify and the phenomenon is called simplification.
We have,
= (5x² + 8x - 3) + (2x² - 7x + 13x)
= 5x²+ 2x²+ 8x - 7x + 13x - 3
= 7x²+ 14x - 3
Thus, the required simplification can be given as 7x²+ 14x - 3
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains. Did Osvoldo meet his goal? Why?..
Answer:
Answer: Osvoldo did not meet his goal.
Step-by-step explanation:
Total carbohydrate ate by Osvoldo = 220 g
carbohydrate from grains = 55 g
Percentage of carbohydrate of grain is
\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}
=
Total carbohydrate
carbohydrate taken from grains
×100
=
220
55
×100=25%
Goal of getting carbohydrate from grains = at least 30%
but he ate only 25% of carbohydrate
Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.
Which number is a perfect square?
A 265
B 281
C 265
D 249
Answer:
a and C
Step-by-step explanation:
What is 2.4(x-10)=8+1.2x-5
Answer:
x = 22.5
Step-by-step explanation:
Step 1: Write equation
2.4(x - 10) = 8 + 1.2x - 5
Step 2: Solve for x
Distribute 2.4: 2.4x - 24 = 8 + 1.2x - 5Combine like terms: 2.4x - 24 = 1.2x + 3Subtract 1.2x on both sides: 1.2x - 24 = 3Add 24 to both sides: 1.2x = 27Divide both sides by 1.2: x = 22.5Step 3: Check
Plug in x to verify it's a solution.
2.4(22.5 - 10) = 8 + 1.2(22.5) - 5
2.4(12.5) = 8 + 27 - 5
30 = 8 + 22
30 = 30
Answer:
x=22.5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2.4(x−10)=8+1.2x−5
(2.4)(x)+(2.4)(−10)=8+1.2x+−5(Distribute)
2.4x+−24=8+1.2x+−5
2.4x−24=(1.2x)+(8+−5)(Combine Like Terms)
2.4x−24=1.2x+3
2.4x−24=1.2x+3
Step 2: Subtract 1.2x from both sides.
2.4x−24−1.2x=1.2x+3−1.2x
1.2x−24=3
Step 3: Add 24 to both sides.
1.2x−24+24=3+24
1.2x=27
Step 4: Divide both sides by 1.2.
1.2x
1.2
=
27
1.2
x=22.5
Answer:
x=22.5
Write the coordinate of A’ after A (5,3) got reflected over the x-axis.
Answer:
A'(5, -3)
Step-by-step explanation:
Reflection over the x-axis changes the sign of the y-coordinate:
(x, y) ⇒ (x, -y)
A(5, 3) ⇒ A'(5, -3)
Se realiza un viaje en avión desde una ciudad A a una ciudad C, haciendo escala en un aeropuerto ubicado en la cuidad B, en el primer aeropuerto se bajan la mitad de los pasajeros, en su segunda parada llegando a su destino se bajan 1/3 pasajeros, la cantidad de pasajeros que quedan en el avión serán
Answer:
La cantidad de pasajeros que quedan en el avión serán [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Sabes que en el primer aeropuerto se bajan la mitad de los pasajeros, es decir que se bajan [tex]\frac{1}{2}[/tex] pasajeros, y en la segunda parada llegando a destino se bajan [tex]\frac{1}{3}[/tex] pasajeros. Entonces, la cantidad de pasajeros que se bajan en ambas paradas es la suma de la cantidad de pasajeros que se bajaron entre el primer y segundo aeropuerto:
[tex]\frac{1}{2}+\frac{1}{3}[/tex]
Lo primero que debes hacer es hayar un denominador común entre el 2 y el 3. Para eso, hallas el mínimo común múltiplo entre ambos, en este caso 6.
Luego debes multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividis este mínimo común múltiplo entre el denominador inicial, y este resultado se multiplica por el numerador de esa fracción. De esta manera se obtiene:
[tex]\frac{1}{2}+\frac{1}{3}=\frac{3}{6} +\frac{2}{6}[/tex]
Finalmente se suman los numeradores y se obtiene:
[tex]\frac{1}{2}+\frac{1}{3}=\frac{5}{6}[/tex]
Considerando que 1 es un entero que representa la cantidad de total de pasajeros, para calcular la cantidad de pasajeros que quedan en el avión se realiza la sustracción:
[tex]1-\frac{5}{6}[/tex]
Resolviendo de manera similar a la suma, se obtiene:
[tex]1-\frac{5}{6}=\frac{6}{6} -\frac{5}{6}[/tex]
[tex]1-\frac{5}{6}=\frac{1}{6}[/tex]
Entonces la cantidad de pasajeros que quedan en el avión serán [tex]\frac{1}{6}[/tex]
what is 5+5= because i have no clue
Answer:
5+5=10
Are you a student of class 1??
how long does it take for a bee to fly 12 miles going 15 mph?
Line v passes through point (6, 6) and is perpendicular to the graph of y = 34x – 11. Line w is parallel to line v and passes through point (–6, 10). Which is the equation of line w in slope-intercept form?
A. y = 34x + 2
B. y = –34x + 2
C. y = 43x + 2
D. y = –43x + 2
Marco needs to buy some dog food at the nearest store five bags of dog food cost $27.50 how much would Marco spin on three bags of dog food
Answer:
16.5
Step-by-step explanation:
Answer: 16.50
Step-by-step explanation:
First, you need to divide 27.50 by 5. (It's easier to multiply the number by 100 so it's 2750, then divide the quotient by 100 to get the actual answer). Then after you divide 27.50 by 5 you will get 5.50. Multiply that by 3 and get 16.50!
five less than the qouicent of number of a number and 3 is -7
Sorry. Had to redo this with the correct answer.
Here it is...
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:
x = - 2/5 (fraction)
Decimal Form:
x = - 0.4 (decimal)
May I get some help on this please?
Answer:
2
Step-by-step explanation:
The answer is the second explanation I think
Answer:
it's the 2nd answer
Step-by-step explanation:
basically I just found the range and it kinda gave me the answer (range is the difference between the highest and lowest number, so 24-9=15)
preform the indicated operation.
4/11 ÷ 4/9
Answer:
0/8
Step-by-step explanation: i tried my best
Answer:
9/11
Step-by-step explanation:
4/11 divided by 4/9=
4/11 x 9/4= 1/11x9=
9/11
Bob is thinking about leasing a car with a MSRP of $24,000 for three years. After three years, the leasing company expects the car to have a value of 72% of its original MSRP. What will the residual value of the car be after three years?
a.
$3,000
b.
$6,000
c.
$17,280
d.
$33,333
Answer:C. 17,280
Step-by-step explanation:It this way because it cant be 3k obv or 6k. And it says 72% down not up so not d either :D
he residual value of the car be after three year is mathematically given as
R=17280
Option C
Residual value of the carQuestion Parameters:
A car with a MSRP of $24,000 for three years.
After three years, the leasing company expects the car to have a value of 72%
Generally the equation for the residual value is mathematically given as
R=percentage of drop *original price
R=0.72*24000
R=17280
Therefore, the residual value of the car be after three years is R=17280
Option C
For more information on Arithmetic
https://brainly.com/question/22568180
Can anyone solve this for me :))?
Answer:
x = 32°
y = 17°
Step-by-step explanation:
Let's look at the bottom triangle since it has two angles.
62° + 75° = 137°
180° - 137° = 43°
The missing angle measure is 43°. Since the two angles make up a straight line,
(4x + 9)° + 43° = 180
4x + 52° = 180°
4x = 128°
x = 32°
The angle measuring 62° is a vertical angle so the angle opposite it is also 62°. The missing angle for that triangle would 40° because 180° - 140° = 40°.
62° + 40° = 102°
180° - 102° = 78°
(5y - 7)° = 78°
5y = 85°
y = 17°
Hope that helps.
Which of these mappings is a function?? Plzzzz help <3333
Answer:
X
Step-by-step explanation:
Each input should have one output.
3
10. -16 - 7(2a + 3) = 23 - 2a
Answer:
a=-1.5 (lmk if im incorrect)
Step-by-step explanation:
-16 - 7(2a + 3) = 23 - 2a
-16-(14a+21)=23-2a
5-14a=23-2a
5=23+12a
-18=12a
-18/12 is -1.5
a=-1.5
