This is a geometric sequence problem.
The first term is 10 bacteria cells
and it grows 75% every hour.
It can be represented as :
\(n=n_1(1+r)^t\)where n is the number of cells after t hours
n1 is the first term
and
r is the growth rate.
Substitute the following values :
n1 = 10
r = 75% or 0.75
t = 1 day which is equal to 24 hrs
The number of cells after 24 hours will be :
\(\begin{gathered} n=n_1(1+r)^t_{} \\ n=10(1+0.75)^{24} \\ n=10(1.75)^{24} \\ n=6,806,332.61 \end{gathered}\)Therefore, the correct answer is Choice C. 6,806,333
d.
X
-2
-1
0
1
2
f(x)
-17
-12
-7
-2
3
Type of function:
Nature of change:
Recursive equation
Explicit equation
Answer:
integers . whole number and nutural number
karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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Find the measure of 7
Answer:
97°
Step-by-step explanation:
83° alternates above 7
Hence angles on a straight line adds up to 180°
180-83= 97°
What is the explicit formula for this sequence?
write 47% as a decimal
Answer:
0.47
Step-by-step explanation:
47% is the same as 0.47.
Hope it helps!
Question 8 (1 point)
A real estate agent received a 5.5% commission on the sale of a home. If her
commission was $14,960, how much did the home sell for?
The amount of the sale of the home is $2090181.82
How to determine how much the home sells for?From the question, we have the following parameters that can be used in our computation:
Commission = 5.5% on the sale of a home
Also, we have
Commission = 114960
using the above as a guide, we have the following:
5.5% on the sale of a home = 114960
So, we have
5.5% * sale of a home = 114960
Divide both sides by 5.5%
sale of a home = 114960/(5.5%)
Evaluate
sale of a home = 2090181.82
Hence, the sale of the home is $2090181.82
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Which of the following describes similarity in general
is x + 9 nonlinear or linear
Answer: nonlinear
because i said so
Answer:
Linear
Step-by-step explanation:
================================================
I am assuming that you mean:
\(y = x + 9\)
================================================
Since the equation does not contain an exponent, nor has 'x' as a denominator in a fraction, it is a linear equation.
You can also tell that it's linear because it's in slope-intercept form.
================================================
Hope this helps.
Select the correct answer.
Simplify.
(m^3)^6 / m^18
A.
B.
C.
D.
Answer:
B. 1
Step-by-step explanation:
We are given (m^3)^6 / m^18
When we have exponents that are in and out within the parenthesis, you have to multiply them.
(m^3)^6
3 * 6
18
m^18
Now when you are dividing two numbers with exponents, you have to subtract the exponent amount.
m^18 / m^18
18 - 18
0
m^0
When you have a number with an exponent of 0, it should be 1.
Therefore, m^0 = 1
Answer: Real Awnser is m-9
Step-by-step explanation:
Please show work thank you
Answer
No solution
Step-by-step explanation:
4y + 2x = 18
3x + 6y = 26
You need either the x's or the y's to have the same coefficients.
let's line things up first.
4y + 2x = 18 (multiply by 3)
6y + 3x = 26 (multiply by 2)
to keep numbers relatively small we will multiply the top equation by 3 and the bottom equation by 2. Multiply all terms. This will make the coefficients equal.
12y + 6x = 54
12y + 6x = 52
So, if you subtract them from each other you get :
0 = 2
When this happens the solution set is : no solution
Answer:
Impossible
Step-by-step explanation:
Ok, so we first rearrange for convenience:
2x+4y=18
3x+6y=26
We multiply the two equations to eliminate x:
2x+4y=18 * -3
3x+6y=26 * 2
So:
-6x-12y=-54
6x+12y=52
And now we add the two equations:
0+0= -2
Try multiplying the two equations by any other number which will lead to them cancelling, (eg. -9, 6), still the equation will not work.
if the mean of x,x+3,x-5,2x and 3x then find the value of x
The Value of x is 2/3.
The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.
The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.
Mean = (x + x+3 + x-5 + 2x + 3x) / 5
Next, we simplify the expression:
Mean = (5x - 2 + 3x) / 5
Mean = (8x - 2) / 5
We are given that the mean is also equal to x:
Mean = x
Setting these two expressions equal to each other, we have:
(x) = (8x - 2) / 5
To solve for x, we can cross-multiply:
5x = 8x - 2
Bringing all the x terms to one side of the equation and the constant terms to the other side:
5x - 8x = -2
-3x = -2
Dividing both sides by -3:
x = -2 / -3
Simplifying, we get:
x = 2/3
Therefore, the value of x is 2/3.
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Sunny earns $12 per hour delivering cakes. She worked for x hours for this week. Unfortunately,she was changed $15 for a late delivery on Tuesday. How much did sunny ear this week? Write tryout answer as an expression
Step-by-step explanation:
Total Wages = Number of hours worked x Hourly Wage
\( = 12x\)
Any other charges:
1)Late Delivery Charge : $15
Total Actual Wages = Total Wage - Late Delivery Charge =
\(12x - 15\)
Josiah can jog 5/6 mile in 15 minutes. What’s the average speed in miles per hour?
Can the following lengths be
used to form a right triangle?
Explain.
Length 1: 15 units
Length 2: 20 units
Length 3: 35 units
Sarah and Michelle have 20 feet of shelf space in their dorm room. Sarah has tons of stuff and insists that she needs twice as much shelf space as michelle. If she gets her wish how much shelf space will Michelle be stuck with?
Answer:
x = 6.67
Explanation:
If we call
x = amount of shelf space Michelle gets
then we know that
the amount of shelf space Sarah wants = 2x
Now the the total shelf space is 20 ft; therefore, we must have
\(x+2x=20\)which simplifies to give
\(3x=20\)\(\Rightarrow x=\frac{20}{3}\)\(x=6.67\)Hence, the amount of space Michelle will be stuck with is 6.67 ft.
Write an
equation of the line that passes through each pair of points.
(-3,9), (-3,-5)
Answer:
since slope(m) = y2 -y1/x2- x1
-5 - 9/ -3 - (-3)= -14/0
m = -14/0 (undefined)
using the formula
y-y1 = m(x -x1)
y - 9 = -14/0(x - (-3)
y-9 = -14/0(x + 3)
0 = -14( x+3). (cross multiplication)
0 = -14x - 42
14x = -42
x = -3( equation of the line)
Number 22. The local toy store sells a package of 7 different shaped erasers for 4.20 $ what is the unit cost of each eraser in the package
Answer:
$4.20 / 7 erasers = $0.60 per eraser
So each eraser in the package costs $0.60.
Can someone help me with this pleaseeeeee
The values of x, y , and z in the matrix equation is 3, 4, 0 respectively.
What is the solution of the matrix equation?The solution of the matrix equation is calculated by applying Cramer's rule as shown below;
[ 1 1 -1 ] [ 7 ]
[ 2 3 0 ] [ 18 ]
[ -5 -7 -1 ] [ -43 ]
The determinant of the matrix is calculated as follows;
[ 1 1 -1 ]
[ 2 3 0 ]
[ -5 -7 -1 ]
Δ = 1 (-3 - 0) - 1(-2 - 0 ) - 1(-14 + 15)
Δ = -2
The x determinant of the matrix is calculated as follows;
[ 7 1 -1 ]
[ 18 3 0 ]
[ -43 -7 -1 ]
Δx = 7 (-3 - 0) - 1 (-18 - 0 ) - 1(-126 + 129)
Δx = -6
The y determinant of the matrix is calculated as follows;
[ 1 7 -1 ]
[ 2 18 0 ]
[ -5 -43 -1 ]
Δy = 1 (-18 - 0 ) - 7(-2 - 0 ) -1(-86 + 90)
Δy = -8
The z determinant of the matrix is calculated as follows;
[ 1 1 7 ]
[ 2 3 18 ]
[ -5 -7 -43]
Δz = 1 (-129 + 126) - 1(-86 + 90) + 7(-14 + 15)
Δz = 0
The values of x, y , and z is calculated as;
x = Δx/Δ = -6/-2 = 3
y = Δy/Δ = -8/-2 = 4
z = Δz/Δ = 0/-2 = 0
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USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W=5) AS AN EQUIVALENT EXPRESSION
answer ?
30 or 30W
Step-by-step explanation:
this isn't a real equation. you can't have an equal sign inside a parentheses but assuming that the question is 6(W) and W equals 5, we can substitute the 5 and distribute the 6 to get 6x5 = 30
x + 121 = 4x - 20 what is x
Answer:
x = 47
Step-by-step explanation:
x + 121 = 4x - 20
-3x + 121 = - 20
-3x = -141
x = 47
So, the answer is x = 47
What is the equation of the line that passes through the point (-6,8) and has a slope of -5/3? Please show step by step solution,
Answer:
The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Step-by-step explanation:
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
We have the point (-6,8) and a slope of -5/3.
Step 1: Use the point-slope formula to find the equation of the line in point-slope form.
y - y1 = m(x - x1)
where x1 and y1 are the coordinates of the given point.
y - 8 = (-5/3)(x - (-6))
Simplify this equation:
y - 8 = (-5/3)(x + 6)
Step 2: Convert the equation to slope-intercept form.
Distribute (-5/3) to get:
y - 8 = (-5/3)x - 10
Add 8 to both sides:
y = (-5/3)x - 2
This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.
Find the indicated measures, given that EA is a diameter
a) mDEF =
b) mEFG =
c) mAC=
d) Explain how you found each angle measure below. Be sure to show all of your work.
Using the knowledge of the measure of a semicircle, the measures in the circle given are:
a. m(DEF) = 152°
b. m(EFG) = 70°
c. m(CA) = 28°
What is the Measure of a Semicircle?Half of a circle is a semicircle = 180°.
Given the following:
m(CDE) = 152°m(FG) = 31°m(AG) = 110°m(DC) = m(EF) = 180 - 110 - 31 = 39° (semicircle)a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]
m(DEF) = (152 - 39) + 39
m(DEF) = 152°
b. m(EFG) = m(EF) + m(FG)
m(EFG) = 39 + 31 = 70°
c. m(CA) = 180 - 152 (semicircle)
m(CA) = 28°
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Please help. I’ll mark you as brainliest if correct
Answer: He doesn't have any money left that period point blank
Step-by-step explanation
7-6=1
1-3= you cant do that
so he doesn't get soda at all.
7 -6 =1. . . . . . . - . . . . . . = . 1-3= nope. - . . . = nahhh
An elementary bake sale is selling brownies and cookies. Their goal is to make $500
dollars. Each brownies is sold for $2 and each cookie is sold for $1.50. Write an
equation to represent the number of brownies, b, and cookies, c, that must be sold to
make $500.
Answer:
Submit Answer
Answer:
2b + 1.5c = 500
Step-by-step explanation:
Cost per brownie = $2
Cost per cookie = $1.50
Number of brownie = b
Number of cookie = c
1)
Find the value of x in
the triangle below:
17
A) 20.2
B) 18.7
C) 19.5
D) 21.1
E) 22.6
K
84⁰
65°
Mrs. Wilson
Mrs. Crane
Mr. Haynes
Ms. Lindstrom
Mr. Swasey
O Gina Wilson (All Things Algebra), 2014
The correct option is A) 20.2.
What is triangle sum?
The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.
Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:
Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:
K = 180 - A - B
= 180 - 84 - 65
= 31 degrees
Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:
sin(A)/x = sin(K)/17
Substitute the values we know into the equation and solve for x:
sin(84)/x = sin(31)/17
x = sin(84)*17/sin(31)
Using a calculator, we get:
x ≈ 20.2
Therefore, the value of x in the triangle is approximately 20.2.
So, the correct option is A) 20.2.
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SHARE 300 USING 2:3:5
If we divide 300 into parts using the ratio 2:3:5, we get:
2 parts = 2/10 of the total ratio = 2/10 x 300 = 60
3 parts = 3/10 of the total ratio = 3/10 x 300 = 90
5 parts = 5/10 of the total ratio = 5/10 x 300 = 150
Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.
I hope I helped!
~~~Harsha~~~
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
2 lb
1.5 lb
3 lb
Answer:3
Step-by-step explanation:
15 percent of 20 pounds is 17 subtract 17 from 20 equals 3
a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
You want to create a simulation of the following scenario:
In country x 50% of people have blood type O, 25% have blood type A, 12.5% have blood type B, and 12.5% have blood type AB.
In country y, 60% have blood type O, 20% have type A, 10% have type B and 10% have type AB.
What is the best way to assign values for a simulation using random digits table?
Choose answer from photo below! A, B, C, or D : this is the answer I want, not just an explanation please, thank you so much! 100 points!
Thank you :)
The best way to assign values for a simulation using random digits table will be option A.
What will be the simulation?The best way to assign values for a simulation using a random digits table would be to use a table with at least 10 digits (0-9) in each row.
For Country X, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. If a digit outside of these ranges is generated, it would be ignored.
For Country Y, we would assign Blood type O with the digits 0-5, Blood type A with digits 6-7, Blood type B with digit 8, and Blood type AB with digit 9. Again, if a digit outside of these ranges is generated, it would be ignored.
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3 problems for 1 final answer. fairly easy 8th grade math.
When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)
How do i determine the value of A/5 + √(B - C)?
First, we shall determine the value of A. Details below:
A = Product of roots in x² - 11x + 30Value of A =?Quadratic equation is expressed as:
x² - (sum of root)x + product of root
Comparing the above with x² - 11x + 30, we have
x² - 11x + 30 = x² - (sumof root)x + product of root
Product of roots = 30
Thus,
A = 30
Next, we shall determine the value of B. details below:
f(x) = x² + 5Value of B = f(2) =?f(x) = x² + 5
f(2) = 2² + 5
f(2) = 9
Thus,
B = 9
Next, we shall determine the value of C. Details below:
(x² - 2x - 24) / (x + 4)Value of C = Remainder =?Let
x + 4 = 0
Thus,
x = -4
Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:
Remainder = x² - 2x - 24
Remainder = (-4)² - 2(-4) - 24
Remainder = 0
Thus,
C = 0
Finally, we shall determine value of A/5 + √(B - C). Details below:
A = 30B = 9C = 0Value of A/5 + √(B - C) =?A/5 + √(B - C) = 30/5 + √(9 - 0)
A/5 + √(B - C) = 6 + √(9
A/5 + √(B - C) = 6 + 3
A/5 + √(B - C) = 9
Thus, the value of A/5 + √(B - C) is 9 (option B)
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