Answer: 6
Step-by-step explanation:
ax/ay=r^(x-y)
in this case it will be
a4/a1=r^(4-1)
24/3=r^3
8=r^3
r=2
----------------------------------
an=a1×r^(n-1) ⇔ geometric sequence formula
a2=3×2^(2-1)
a2=3×2^1
a2=3×2
a2=6
N=1500(2^018t), t≥0 Find the initial number of cells (N) in the culture, given the exponential function.
Answer:
1500
Step-by-step explanation:
Step 1: Understand what the question is asking you
It wants to know how much cells do you start off with or in other words how much cells are in the culture when time is 0
Step 2: Set t = 0
[tex]N = 1500(2^{0.18(0)} )[/tex]
Step 3: Solve for N
[tex]N = 1500(2^{0.18(0)} )[/tex]
[tex]N = 1500(2^{0} )[/tex]
[tex]N = 1500(1 )[/tex]
[tex]N = 1500[/tex]
Therefore when the initial amount of cells there in the culture is 1500
Property can be used to remove the parentheses in the expression 1.7(x+9)
Answer:
The Distributive Property.
Step-by-step explanation:
1.7(x + 9)
= 1.7 * x + 1.7 * 9
= 1.7x + 15.3.
Trisha wants to be a nurse practitioner or doctor for her future career. Which CTSO would be best for Trisha to join?
A. TSA
B. DECA
C. HOSA
D. FEA
Answer:
C. Since she wants to be a nurse she'd go into the health and technology field.
Step-by-step explanation:
TSA - Technology Student Association or Transportation Security Administration
DECA - Defense Commissary Agency
HOSA - Health Occupations Students of America
FEA - ?
Answer:
C. HOSA
Step-by-step explanation:
7.
I then took medicine prescribed by my doctor to help with my
fever. My fever went down 1.2 degrees every 4 hours. What is
my temperature after 12 hours?
Answer:
The answer would be 3.6 degrees less than the starting temperature.
Step-by-step explanation:
1.2 * 3 = 3.6
4*3 = 12
3.6/12 hours
Simply this expression: -2+3-(5-6x)
Answer:
6x-4
Step-by-step explanation:
Answer:
-4-6x
Step-by-step explanation:
you would just combine -2 and 3 so you get 1 and then you would get 1-(5-6x) and you can just take away the parenthesis since in this case it doesn't matter and when you simplify that you get -4-6x
3.3x10^5+44,000 in scientific notation? please please
Answer
4.4×10^4
For converting a number into scientific form just bring the decimal after the first non zero digit and write it with multiplier 10 raising to the number of places you moved the point
Step-by-step explanation:
Find the solution for the following equation: 3x = 45
Answer: x = 15
Step-by-step explanation: Since x is multiplied by 3, divide both sides
of the equation by 3 to get x by itself, and show all your work!
Put both sides of the equation over 3
and cancel out the 3's on the left side.
It's tempting to want to show off your
math skills by doing the work in your head.
Don't fall into this trap!
It's extremely important to develop the habit
of writing every step down on paper or digitally.
It will serve you very well for many years.
write 23/25 as a decimal
i need help A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?
Answer:
first of all i need to know the fractions and answer choices to answer this question.
Enter the numerator and denominator of a fraction in simplest form that is equivalent to 0.941941 Repeating.
Answer:
[tex]\frac{941}{999}[/tex]
Step-by-step explanation:
Let x = 0.941941........
Three digits are repeating. So, multiply both side by 1000
1000x = 941.941941...... (I)
x = 0.941941....... (II) {subtract equation (II) from (I) }
999x = 941
x = 941/999
This diagram is a straightedge and compass construction. A is the center of one circle, and B
is the center of the other. Select all the true statements.
a. AC = BC
b. AC = BD
C. CD = AB
d. ABCD is a square
e. ABD is an equilateral triangle
f. CD = AB + AB
Answer:
Correct choices are a, b, e
Step-by-step explanation:
As per diagram, the circles are equal.
Since the distance AB is the radius of both circles:
AB = AC = BC = BD = AD = rSo the answer choices:
a. AC = BC
Correct, both equal to rb. AC = BD
Correct, both equal to rC. CD = AB
Incorrect. Half of CD is the leg of 30-60-90 triangle and is equal to r√3/2, so CD = AB√3d. ABCD is a square
Incorrect. ACBD is rhombuse. ABD is an equilateral triangle
Correct, all three sides are equal to rf. CD = AB + AB
Incorrect as CD = AB√33(x+14)=42 plz need help now
Answer:
0
Step-by-step explanation:
So we have the equation:
[tex]3(x+14)=42[/tex]
Divide both sides by 3:
[tex]x+14=14[/tex]
Subtract 14:
[tex]x=0[/tex]
The value of x is 0
Answer: x=0
Step-by-step explanation:
Given
3(x+14)=42
Distributive property
3x+42=42
Subtract 42 from both sides
3x=0
Divide 3 on both sides
x=0
----------------------------------------------------
Given
3(x+14)=42
Divide 3 on both sides
x+14=14
Subtract 14 on both sides
x=0
Both ways are fine
Hope this helps!! :)
what is blank plus 1/2 to equal 4
Answer:
either 3 1/2 or 7/2
Step-by-step explanation:
4 is equal to 8/2
8/2 minus 1/2 is 7/2
7/2 can be simplified to be 3 1/2
Consider the function below. g(x) = 4x − 1 Find the difference quotient below (where h ≠ 0) and simplify your answer. g(x + h) − g(x) -------------------- h
Answer:
The difference quotient is 4.
Step-by-step explanation:
Given that:
[tex]g(x) = 4x - 1[/tex]
To find:
Difference quotient = ?
where [tex]h \neq 0[/tex]
Solution:
Formula for Difference quotient is given as:
[tex]\dfrac{g(x+h)-g(x)}{h}[/tex]
First of all, let us find out [tex]g(x+h)[/tex]
Replacing [tex]x[/tex] with [tex]x+h[/tex]
[tex]g(x+h) = 4(x+h)-1 \\\Rightarrow g(x+h) = 4x+4h-1[/tex]
Now,
[tex]g(x+h)-g(x) = (4x+4h-1 )-(4x-1)\\\Rightarrow g(x+h)-g(x) = 4x+4h-1 -4x+1\\\Rightarrow g(x+h)-g(x) = 4h[/tex]
Putting the above value in:
[tex]\dfrac{g(x+h)-g(x)}{h} = \dfrac{4h}{h}[/tex]
We are given that, [tex]h \neq 0[/tex]
[tex]\therefore \dfrac{4h}{h} = 4[/tex]
So, the difference quotient is 4.
PLEASE HELP ME ILL MARK BRIANLIEST I NEED IT ASAP!
Answer:
14(1/2-t)≤28
14(1-2t)/2≤28
14-28t≤28
-28t≤56-14
-28t≤42
t≤42/-28
t≤ -1.5
15k+11≤18k-5
15k-18k≤-5-11
-3k≤-16
k≤-16/-3
k≤-5.333
44y>11+88y-22y
44y>11+66y
44y-66y>11
-22y>11
y>11/-22
y>-0.5
7/9(b-27)>49/81
(7b-180)/9>48/81
81(7b-189)>9(49)
567b>441+15309
567b>15750
b>15750/567
b>27.78
18 divide by 2/3 ??????????
Answer:
30
Step-by-step explanation:
2/3 = .6
18/.6 = 30
Answer:
27
Step-by-step explanation:
If you want to divide a fraction, you have to divide it from it's reciprocal.
The reciprocal of 2/3 is 3/2.
Now, you have to multiply 3 and 18
18 x 3/2 = 54/2
54 divided by 2 is 27.
Hope it helped :>
Give an example of a set of ordered pairs that has five elements in its domain and four elements in its range.
Answer:
[ (-1,0) (0,0) (1,1) (2,2) (3,3) ]
Domain = { -1,0,1,2,3 }; Range = { 0,1,2,3 }
Step-by-step explanation:
Set or collection of ordered pairs is called 'Relation'. The ordered pairs are in terms f x & y coordinate.
Eg : [ (-1,0) (0,0) (1,1) (2,2) (3,3) ]
Domain is a set of all x axis values. Range is a set of all y axis values. They are arranged non repetitively in ascending order.
Domain = { -1,0,1,2,3 }
Range = { 0,1,2,3 }
As mentioned : the relation has been designed, as such to have five elements in its domain and four elements in its range
what is the change in each termof the sequence? 5, -2, -9, -16, -23
Answer:
-7
Step-by-step explanation:
To find the common difference, take the second term and subtract the first term
-2 - 5 = -7
Check by subtracting the second term from the third term
-9 - (-2) = -9+2 = -7
The common difference is -7
Identify the roots of the equation x^2 = 9x − 14 by factoring. x = 2 or x = 7 x = −2 or x = 7 x = 2 or x = −7 x = −2 or x = −7
Answer:
x = 7, x = 2
Step-by-step explanation:
Given
x² = 9x - 14 ( subtract 9x - 14 from both sides )
x² - 9x + 14 = 0 ← in standard form
(x - 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and splve for x
x - 7 = 0 ⇒ x = 7
x - 2 = 0 ⇒ x = 2
How much will it take to do a work of 190J with 15w power
Answer:
[tex]\Huge \boxed{\mathrm{12.67 \ s}}[/tex]
Step-by-step explanation:
[tex]\displaystyle power \ (W) = \frac{work \ done \ (J)}{time \ (s)}[/tex]
[tex]\displaystyle P= \frac{W}{t}[/tex]
[tex]\displaystyle 15= \frac{190}{t}[/tex]
Solve for t.
Multiply both sides by t.
[tex]15t =190[/tex]
Divide both sides by 15.
[tex]\displaystyle t= \frac{190}{15}[/tex]
[tex]t \approx 12.67[/tex]
[tex] \bf \underline{ \underline{given : }}[/tex]
Work = 190 JPower = 15 W[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]
Calculate the time ?
[tex]\bf \underline{ \underline{
Formula \: applied :}}[/tex]
[tex] \boxed{ \bf{Power = \frac{Work \: done}{Time} }}[/tex]
[tex]\bf \underline{ \underline{Solution : }}[/tex]
We know,
[tex]\sf {Power = \dfrac{Work \: done}{Time}}[/tex]
[tex] \sf{ Time = \dfrac{Work \: done}{Power } }[/tex]
Substituting the values of work and power, we get:
[tex] \sf \implies{Time = \dfrac{190}{15} }[/tex]
[tex] \sf\implies{Time = 12.66 \: s}[/tex]
Thus,the time taken by a body is 12.66 seconds.
find the sum of -3/2 - 7/4 + 1/8
Answer: -25/8
Step-by-step explanation:
Answer:
The sum of -3/2-7/4+1.8 = -3.125
what is half the sum of x and y decreased by one-third y as a algebraic expression
Answer:
1/2(x+y) - 1/3
Step-by-step explanation:
I think this may be the answer based on the info you've given
Answer:
[tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex]
Step-by-step explanation:
We can translate these words into an expression by just reading them and interpreting them.
Half the sum of x and y.
We know that it's going to include [tex](x+y)[/tex], and if we're taking half of that, we multiply that by [tex]\frac{1}{2}[/tex], so [tex]\frac{1}{2}(x+y)[/tex]
We also know that one third of y will be multiplying y by [tex]\frac{1}{3}[/tex], so [tex]\frac{1}{3}y[/tex].
Since we are decreasing [tex]\frac{1}{2}(x+y)[/tex] by [tex]\frac{1}{3}y[/tex], there's a minus sign between the terms.
So, [tex]\frac{1}{2}(x+y) - \frac{1}{3}y[/tex].
Hope this helped!
order of operations
Simplify z+9(8−x)+8(z+8)=
Simplify (3−10)^2−(5−12)^2
Evaluate 2^2⋅4^3=
Answer:
z+9(8−x)+8(z+8)=
z+72-9x+8z+64=
9z-9x+136
(3−10)^2−(5−12)^2 parenthesis first
(-7)²-(-7)²=
49-(49)=49-49=0
2^2⋅4^3 exponent first
2*2*4*4*4
4*64=256
Solve for x. Evaluate and round your answer to 1 decimal place (tenths place). 10x=3588
Answer:
x =3.6Step-by-step explanation:
[tex]10^x=3588\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(10^x\right)=\ln \left(3588\right)\\x\ln \left(10\right)=\ln \left(3588\right)\\\mathrm{Solve\:}\:x\ln \left(10\right)=\ln \left(3588\right):\quad x=\frac{\ln \left(3588\right)}{\ln \left(10\right)}\\\\= 3.55485\\=3.6[/tex]
what is the answer to
-9 +(-2)
Answer:
-11
Step-by-step explanation:
Substarct 2 from -9.
Answer:
-11
Step-by-step explanation:
lets think about it this way, you owe 9, you also owe 2, so altogether you owe 11, which is -11
what equation for 10-3x2+(7-4)
Answer:
13-6x
Step-by-step explanation:
10 - 3x ×2+(7-4)
10 - 6x+(7-4)
10-6x+3
=13-6x
Is it possible to draw a quadrilateral with one pair
of congruent consecutive sides?
- yes or no
It is possible to draw a quadrilateral with one pair of congruent consecutive sides
How to determine the true statement?A quadrilateral has four sides
The four sides can be congruent or not congruent
However, when a pair of consecutive sides are congruent, then the quadrilateral is a square
Hence, the statement is yes
Read more about quadrilaterals at:
https://brainly.com/question/22254043
#SPJ2
The original price of a toy was $400. It was increased by 20%. after some time the sale of toys decreased. So, the shop owner decided to decrease the price by 20%
What is the final price of the toy.
Answer:
$384
Step-by-step explanation:
Original price = $ 400
Increased price = 20% of 400
= [tex]\frac{20}{100}[/tex] * 400
= $ 80
Price after increase = 400 + 80 = $ 480
Decreased price = 20% of 480
= [tex]\frac{20}{100}\\[/tex] * 480
= $ 96
Price after decreasing 20% = 480 - 96 = $ 384
Final price of the toy = $ 384
pineapples are on sale for $1.50 per pound. Let y be the total cost in dollars of x pounds of pineapple which equation represents the situation
Answer:
y=1.5x
Step-by-step explanation:
Step 1: State what you know
Pineapples are 1.50 per pound
X represents how many pounds of pineapples you want to buy
Y represents how much do 'x' amount of pineapples cost in dollars
Step 2: Write the equation
y (the price of 'x' pounds of pineapple)=1.5(the cost of a pineapple)x(how many pounds of pineapples you bought)
Therefore the equation that represents the problem is y=1.5x
Answer:
y=1.5x
Step-by-step explanation:
Fill in the blank
answers parallel , congruent, opposite, quadrilateral, four ,four ,rhombus, connected right
pls help
Answer:
Quadrilateral
Four
Parallel
Four
Right
Congruent
Rhombus
Opposite
Connected
Step-by-step explanation: