From the given information, we know that the expression that models the population of amoebas with respect to time is:
[tex]P=8x^3[/tex]Where x is the number of hours. by replacing 9 for x, we can find the population after 9 hours, like this:
[tex]\begin{gathered} P=8\times9^3 \\ P=8\times729 \\ P=5832 \end{gathered}[/tex]Then, the population of amoebas after 9 hours is 5832.
which of the following could be the distant of Allyson's map
The real distance from Mumbai to Bangalore is 845 km.
The real distance from Mumbai to Dehli is 1160 km.
Allyson has made a map in which distance is in cm and is proportional to the real distance.
Since the real distance and the distance on the map are proportional then their ratio must be equal.
Let us compare the ratio of real distance with the distance in given options.
Option A:
Bangalore to Mumbai = 116.5 cm
Mumbai to Dehli = 174 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{116.5}{174} \\ 0.728\ne0.669 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option B:
Bangalore to Mumbai = 42.25 cm
Mumbai to Dehli = 58 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{42.25}{58} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option C:
Bangalore to Mumbai = 23.4 cm
Mumbai to Dehli = 29 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{23.4}{29} \\ 0.728\ne0.807 \end{gathered}[/tex]As you can see, the ratio is not equal so this is wrong.
Option D:
Bangalore to Mumbai = 16.9 cm
Mumbai to Dehli = 23.2 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{16.9}{23.2} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Option E:
Bangalore to Mumbai = 25.35 cm
Mumbai to Dehli = 34.8 cm
[tex]\begin{gathered} \frac{845}{1160}=\frac{25.35}{34.8} \\ 0.728=0.728 \end{gathered}[/tex]As you can see, the ratio is equal so this is correct.
Therefore, the following can be the possible distances on Allyson's map
Option B
Option D
Option E
-21x + 3 (-x-4) - 8x
Answer:
Step-by-step explanation:
-21x + 3(-x-4) -8x =
-21x -3x -12 - 8x=
-32x -12=
-32x = 12
X= -3/8
What is 275 = 5 (1 - 6k)
Answer:k=-9
Step-by-step explanation:
275=5(1-6k)
55=1-6k
54=-6k
-9=k
your gross income is 4520.00 your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. How much is the total interest earned between both accounts in 60 days?
The total interest earned between both accounts in 60 days is $92.01.
What is the interest?Given gross income = $4520/ month
Deductions = FICA+federal withholding + state with holding
Deductions = 7.65%+ 11.75%+8.5%= 27.9%
Total deductions = 27.9% of 4520= $1261.08
Net income = Gross income - Deductins = 4520-1261.08= $3258.92
Now 30 % of these are fixed expenses
Fixed expenses = 30% of 3258.92= $977.676
Amount left for month = 3258.92-977.676= $2281.244
5 months worth = 5*2281.244= $11406.22
Total money in the emergency fund = $11406.22
Since 75% in CD, amount imvested = 75% of 11406.22= 8554.665
APR= 5.25%
Number of days = 60
A= P*(1+r) ^n
Assuming they compound daily
r= 0.0525/365= 0.0001438
n= 60
A= 8554.665*(1+0.0001448) ^60
A= $8628.81
Regular savings:
25% in RS, Amount invested = 25% of 11406.22= 2851.55
APR= 3.8%
Number of days = 60
A= P*(1+r) ^n
Assuming they compound daily
r= 0.038/365= 0.0001041
n= 60
A= 2851.55*(1+0.0001041) ^60
A= $2869.42
Total interest earned = (2869.42+8628.81) -11406. l22
= $92.01
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may you please help me! Whether you can help or not I hope you are doing amazing!!the instructions at the top fully say " use the compass and straightedge to construct a segment congruent to WX with endpoint P."
Step Guide:
Step 1: Place your compass at W and extend it to X.
Step 2: Using the same length, place your compass at P and mark an arc.
Step 3: Using the straightedge, draw a line from P to meet the arc.
Step 4: Label the point of intersection of the line and the curve Q.
This gives segment PQ that is congruent to WX,
Please help :') ty ty ty ty ty
Answer:
C
Step-by-step explanation:
The x intercept is 40, which represents the number of month payments needed to repay the loan.
answer:
c) the x-intercept is 40, which represents the number of monthly payments needed to repay the loan.
step-by-step explanation:
the x-intercept is what x equals when y is zero. you can also determine what the x-intercept represents by understanding what the x-axis represents. hope that helps!
You are dealt one card from a 52-card deck. Find the probability that you are dealt a six or a red card.
Answer:
[tex]P(\text{ six or red)=}\frac{7}{13}[/tex]Step-by-step explanation:
The probability of an event is represented by the following equation;
[tex]P(A)=\frac{\text{ Number of favorable outcomes}}{\text{ Number of possible outcomes}}_{}[/tex]Therefore, from a 52-card deck which is better shown with the following image:
There are 4 6's in a 52-card deck and 26 red cards.
*If the events A and B are not mutually exclusive, the probability is:
[tex]P(A\text{ or B)=P}(A)+P(B)-P(A\text{ and B)}[/tex]Then to determine the probability that you dealt a six or a red card:
[tex]\begin{gathered} P(six\text{ or red)=}\frac{4}{52}+\frac{26}{52}-\frac{2}{52} \\ P(\text{ six or red)=}\frac{7}{13} \end{gathered}[/tex]This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of thepyramid to the volume of the prism?1A} volume of Pyramidvolume of priamB} volume of pyramidvolume of priuamC} volume of pyramidvolume of priimD} Volume of pyramidvolume of priem
This pyramid has the same base as the prism and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
1
A} volume of Pyramid
volume of priam
B} volume of pyramid
volume of priuam
C} volume of pyramid
volume of priim
D} Volume of pyramid
volume of
prime
____________________________________________
volume of the prism
Make g the subject
X = 3g + 2
Answer:
g = X - 2/3
Step-by-step explanation:
X = 3g + 2
Try to make g stand alone and collect the terms.
X - 2 = 3g
Divide both sides by the coefficient of g, which is 3
X - 2/3 = 3g/3
g = X - 2/3
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 10.8 seconds
Step-by-step explanation:
[tex]-16t^2 + 170t+40=10\\\\16t^2 -170t-30=0\\\\t=\frac{-(-170) \pm \sqrt{(-170)^2 -4(16)(-30)}}{2(16)}\\\\t \approx 10.8 \text{ } (t > 0)[/tex]
help pleaseee !!
thank you !!!!!
The value of x for the given figure is 7.
According to the question,
We have the following information:
We have a figure where two parallel lines are cut by another line. Some of the measurements of angles are given.
Now, we know that angle made on a straight line is 180°.
So, we have the following expression:
∠4+118 = 180
∠4 = 180-118
∠4 = 62°
Now, we know that alternate interior opposite angles are equal. In this case, ∠4 and (8x+6) are alternate interior opposite angles.
(8x+6) = m∠4
8x+6 = 62
Subtracting 6 from both the sides:
8x = 62-6
8x = 56
x = 56/8
x = 7
Hence, the value of x for the given figure is 7.
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Divide…. Unit 2 test: scientific notation
Answer:
I do believe the answer for you is B. 2 x 10^14.
Step-by-step explanation:
4 x 10^4
Add four zeros to the original number since the exponent to the 10 is positive.
40,000/ 2 x 10^-10
Since the exponent here is a negative number, make 9 zeros behind the decimal point and the 2 at the end.
40,000/.0000000002
Using a calculator, you will get 2e14 which is equivalent to 2 x 10^14. Hope this helped!
Answer:
The answer is B
When being dealt two cards from a standard deck of fifty-two playing cards, find the probability that both cards are an ace.
We have:
Total number of cards in a pack = 52
Total number of aces in a pack = 4
The probability of drawing an ace is:
[tex]P(one\text{ }ace)=\frac{4}{52}[/tex]The probability that both are aces is:
[tex]P(both\text{ aces\rparen=}\frac{4}{52}\cdot\frac{3}{51}=\frac{4\cdot3}{52\cdot51}=\frac{12}{2652}=\frac{1}{221}[/tex]Answer: the probability is 1/221
What is 1/0 and how explain
Answer:0
Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!
Javier biked 4 miles on Tuesday, 2 miles on Wednesday , and 7 miles on Saturday . if he hopes to bikes a total of 30 miles for the week , how many miles should Javier bike on Sunday
Answer:
Step-by-step explanation:
4 miles plus 2 miles equals 6 miles, then you add 7 miles to the 6 which equals 13, lastly you minus 13 from 30 then you get your answer, which is 17.
At the local pizzeria, a slice of pizza costs $3.00. if there are eight slices in one pizza . how much would two whole pizzas cost?
Answer:
48 dollars
Step-by-step explanation:
3 x 8 = 24
24 x 2 = 48
Two whole pizzas will cost forty-eight dollars
Answer:
48 dollars
Step-by-step explanation:
because for each slice is 3 dollars and there is 8 slices in 1 pizza so 8*3=24 so for 1 whole pizza its 24 dollars and because we want 2 we multiply it by 2 so 24*2= 48 so for 2 whole pizzas it equals 48 dollars.
A easier way, in 2 pizzas there is a total of 16 slices so 16*3= 48
Sketch a graph of the polynomial function f(x) = –x3 + 5x2 – 2x – 8. Use the graph to complete the following:f is __________ on the intervals (–∞, 1/3) and (3, ∞)f is __________ on the interval (1/3, 3)f is __________ on the intervals (–∞, -1) and (2, 4)
To sketch the graph, we need to find the x-intercepts and y-intercepts.
To find the x-intercepts we solve the equation when y = 0.
That is
[tex]-x^3+5x^2-2x-8=0[/tex][tex]\begin{gathered} f(-1)=-(-1)^3+5(-1)^2-2(-1)-8=1+5+2-8=0 \\ \text{Hence} \\ x=-1\text{ is a zero of f(x)} \\ \Rightarrow\text{ x+1 is a factor of f(x)} \end{gathered}[/tex]Next, we find the result of :
[tex]\frac{f(x)}{x+1}[/tex][tex]\begin{gathered} So \\ \frac{-x^3+5x^2-2x-8}{x+1}=-x^2+6x-8 \end{gathered}[/tex]Now we solve
[tex]\begin{gathered} -x^2+6x-8=0 \\ \Rightarrow-x^2+2x+4x-8=0 \\ \Rightarrow-x(x-2)+4(x-2)=0 \\ \Rightarrow(4-x)(x-2)=0 \\ \Rightarrow x=4\text{ or 2} \end{gathered}[/tex]So the zeros of f(x) are -1, 2, and 4
Next, we find the stationary points.
[tex]\begin{gathered} \frac{df(x)}{dx}=-3x^2+10x-2 \\ \text{When }\frac{df(x)}{dx}=0,\text{ we have} \end{gathered}[/tex][tex]\begin{gathered} -3x^2+10x-2=0 \\ \text{Dividing through by -3 we have} \\ x^2-\frac{10}{3}x+\frac{2}{3}=0 \end{gathered}[/tex][tex]\begin{gathered} (x-\frac{5}{3})^2-(-\frac{5}{3})^2-2=0 \\ \Rightarrow(x-\frac{5}{3})^2=2+\frac{25}{9}=\frac{43}{9} \\ \Rightarrow x=\frac{5\pm\sqrt[]{43}}{3} \\ \Rightarrow x=2.55\text{ or }0.78 \end{gathered}[/tex][tex]\frac{d\frac{df(x)}{dx}}{dx}=-6x+10[/tex]At x = 2.55
[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(2.55)+10=-5.3<0[/tex]Hence we have a maximum point at x = 2.55
[tex]\frac{d\frac{df(x)}{dx}}{dx}=-6(0.78)+10=5.32>0[/tex]Hence, there is a minimum point at x = 0.78
[tex]\begin{gathered} f(0.78)\text{ = }-6.99 \\ f(2.550=2.83 \end{gathered}[/tex][tex]\begin{gathered} To\text{ check the intervals where the function increasing or decreasing} \\ \text{For x < 0.78 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \\ \text{For 0.78 < x < 2.83 } \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is negative} \\ \text{For x > 2.83} \\ \frac{df(x)}{dx}=(x-0.78)(x-2.83)\text{ is positive} \end{gathered}[/tex]This implies that
f is increasing on the intervals (–∞, 1/3) and (3, ∞)
Perform the following food service calculation.
Meat served: meat with little bone
Pounds of meat available: 27 lbs.
Number of guests that can be served:
The number of guests that can be served is 7
How to determine the number of guests?From the question, we have the following parameters that can be used in our computation:
Meat served: 3 lbs meat with little bone
Pounds of meat available: 27 lbs.
The number of guests needed is calculated using the following equation
Number of guests = Pounds of meat available/Meat served
Substitute the known values in the above equation, so, we have the following representation
Number of guests = 27/3
Evaluate the quotient
Number of guests = 9
Hence, 9 guests can be served with the available meat
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Possible question
Perform the following food service calculation.
Meat served: 3 lbs meat with little bone
Pounds of meat available: 27 lbs.
Number of guests that can be served:
Joey invented an electric light device to put on his 26-inch diameter bicycle
wheel. Every time the tire makes a full revolution, a wire touches a battery
contact and a light flashes on the back of the bike seat. How many times will
the light flash if he rides 50 yards?
π = 3.14
F
G
H
J
2 times
7 times
22 times
82 times
If he rides 50 yards then the light will flash 22 times.
Given,
Diameter of wheel =26 inch
Radius of wheel,r=[tex]\frac{26}{2}=13 inch[/tex]
Distance covered by bicycle =50 yards =50*36=1800 inch
First find the perimeter of wheel,
[tex]Perimeter =2\pi r\\\\Perimeter =2*3.14*13\\\\Perimeter =81.64[/tex]
This perimeter represents the distance covered for 1 revolution
Now, to find number of times of revolution,
[tex]\frac{Total\ distance\ covered }{distance\ covered\ for\ 1\ revolution}\\\\=\frac{1800}{81.64}\\\\=22.04[/tex]
So,it will take 22 revolutions to complete the whole distance.
Hence, the light will flash 22 times if he rides 50 yards.
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Please help meeeeeeeeeee
Answer:
Okay
Step-by-step explanation:
want me to come over to your place
11. What are the zeros for the following quadratic relation: *
y = 5x² - 1125
O x = 0
O x = 5,15
O x= -15,5
O x=-15, 15
Answer:
x=15,-15
Step-by-step explanation:
5x^2-1125=0
5x^2=1125
x^2=225
x=square root of 225
x=+15 or -15
You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking a 7 and then picking a 7
Given:
There are four cards numbered as
[tex]6,\text{ }7,\text{ }8,\text{ and }9.[/tex]Required:
We have to find the probability of picking a 7 and then picking a 7.
Explanation:
When you pick the first card there are four possibilities out of which only one card is numbered as 7.
Therefore, the probability of picking a 7 is
[tex]\frac{1}{4}[/tex]Before picking the second card you have put back the first card. So when you pick the second card there are four possibilities out of which only one card is numbered as 7.
Therefore, the probability of picking a 7 is
[tex]\frac{1}{4}[/tex]Hence the probability of picking a 7 and then picking a 7 is
[tex]\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}[/tex]Final answer:
Hence the final answer is
[tex]\frac{1}{16}[/tex]
4. A garden sells flowers in trays. Each tray has 11 flowers on it. If the garden sells 124 trays, how many flowers did the garden sell in all?
A garden sells flowers in trays
each tray has 11 flowers on it
mathematically,
1 tray = 11 flowers
if the garden now sells 124 trays, then how many flowers do we have
1 tray = 11 flowers
124 trays = x flowers
cross multiplication
x * 1 = 124 x 11
x = 1364 flowers
,the answer is 1364 flowers 11 flowers
if the garden now sells 124 trays, then how many flowe
find the area of 2 1/2 units * 2 units
Answer:
5 square units
Explanation:
Emma's Rectangle is:
• 2½ units long.
,• 2 units wide.
[tex]\begin{gathered} \text{Area}=2\frac{1}{2}\times2 \\ =\frac{5}{2}\times2 \\ =5\text{ units}^2 \end{gathered}[/tex]Answer: its 5
Step-by-step explanation:
A basket contains 5 pieces of paper numbered from 1 to 5. A hat contains the letters A, B, C and D. If a blindfolded person picks a number and then a letter, what is the probability that the number is greater than 3 AND the letter is C?
We have a basket and a hat.
The basket has the numbers 1, 2, 3, 4 and 5.
The hat contains the letters A, B, C and D.
We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.
We have two events:
- Drawing a number greater than 3 from the basket
- Drawing a C from the hat
They are independent as the probability of each on does not depend on the outcome of the other event.
Then, we can calculate the probability of the two events happening together as the product of its probabilities:
[tex]P(n>3&l=C)=P(n>3)\cdot P(l=C)[/tex]The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.
The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.
Then, we can calculate the probability as:
[tex]\begin{gathered} P(n>3&l=C)=P(n>3)\cdot P(l=C) \\ P(n>3&l=C)=\frac{2}{5}\cdot\frac{1}{4}=\frac{2}{20}=\frac{1}{10} \end{gathered}[/tex]Answer: the probability is 1/10 or 0.1.
There are two numbers that
multiply to 45 and combine to 18. Find
the two numbers, then the SMALLER
number is your answer for this question.
Answer: 3 x 15= 45, 3 + 15= 18, 3 is the smaller number
Step-by-step explanation:
1st find the factors of 45 then find which factors add to 18
Solve the equation 5.9g + 4 = 3.9g + 12.
Rearranging an equation:
isolating for a variable (g)merge like terms and solveuse inverse operations[tex]5.9g+4=3.9g+12[/tex]
[tex]5.9g-3.9g=12-4[/tex]
[tex]2g= 8[/tex]
[tex]\frac{2g}{2} = \frac{8}{2}[/tex]
[tex]g = 4[/tex]
g = 4
Answer:
g=4
Step-by-step explanation:
5.9g+4=3.9g+12
-4 -4
5.9g= 3.9g+8
-3.9g -3.9g
2g=8
/2 /2
g=4
HELP PLEASE. WILL GIVE BRAINLIEST.
Partition a segment.
The coordinate of first stop of bus which is halfway through the route. is (9, -9).
What is coordinate?
Using the horizontal and vertical separations from the two reference axes, a coordinate is a pair of numbers that expresses a point's location on a coordinate plane. generally expressed by the x-value and y-value pair (x,y).
We have to find the coordinate of first stop of bus which is halfway through the route.
It means, We have to find the coordinates of the midpoint of line segment which has start point and end point coordinates as A(-10, 10) and B(8, -8).
The formula to get the mid point coordinate of a line segment which start point and end point coordinates as A(x₁, y₁) and B(x₂, y₂) is:
[tex]M(a,b) = (\frac{x_2 -x_1}{2} , \frac{y_2-y_1}{2} )[/tex]
putting the value from question:
[tex]M(a,b) = (\frac{8 -(-10)}{2} , \frac{-8-10}{2} )[/tex]
M(a, b) = (9, -9)
Therefore the coordinate of the midpoint is (9, -9)
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PLS HELP ME ASAP!! I WILL GIVE U BRAINLYEST!! NO LINKS!Frankie worked at the gas station for four months. He earned $4,800.00 andmust pay a total of 12% in income taxes. What is his net pay if there are noadditional deductions? A. 576.00B.5,376.00C.3,600.00D.4,224.00
Frankie worked at the gas station for four months. He earned $4,800.00 and
must pay a total of 12% in income taxes. What is his net pay if there are no
additional deductions?
A. 576.00
B.5,376.00
C.3,600.00
D.4,224.00
we have that
12%=12/100=0.12
Multiply $4,800.00 by 0.12
$4,800.00*0.12=$576.00
answer is option ARebekah walks 10 miles in 3 hours. At what unit rate does Rebekahwalk?10/3 miles / 1 hour3 miles / 10 hoursООО10 miles / 3 hours3 hours / 10 miles
ANSWER
(10/3 miles) / (1 hour)
EXPLANATION
A unit rate is a rate where the denominator is 1. In this problem, the denominator is the time in hours. If Rebekah walks 10 miles in 3 hours, we have to find how many miles will she walk in 1 hour,
[tex]1hour\cdot\frac{10miles}{3hours}=\frac{10}{3}miles[/tex]She will run 10/3 miles in 1 hour. Hence the unit rate is (10/3 miles) / (1 hour).