Answer: 1.45 is a growth factor.
Step-by-step explanation:
Exponential growth function: [tex]y=Ab^x[/tex], where A = initial value , b = growth factor (if b>1)
Here, The expression [tex]6.7\cdot(1.45)^t[/tex] models the number of billions of genetic sequence bases available in the public database of the Whole Genome Shotgun project t years since 2002.
Here, b=1.45 >1
Thus,1.45 is a growth factor.
Given
g(x) = 4x2 + 6
What is g(-3)
Answer:
[tex]g(-3)=42[/tex]
Step-by-step explanation:
Given:
[tex]g(x)=4x^2+6[/tex]
Let's substitute -3 for [tex]x[/tex]
[tex]g(-3)=4(-3)^2+6[/tex]
Now, let's solve
[tex]g(-3)=4(9)+6[/tex]
[tex]g(-3)=36+6[/tex]
[tex]g(-3)=42[/tex]
Hope this helps
what is the simplified form of the following expression?
[tex]7( \sqrt[3]{2x} ) - 3( \sqrt[3]{16x}) - 3( \sqrt[3]{8x} ) [/tex]
Answer:
Step-by-step explanation:
edge 2021
Which expression is equivalent to StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue?
Answer:
15
Step-by-step explanation:
Given :
StartAbsoluteValue 8 EndAbsoluteValue + StartAbsoluteValue Negative 7 EndAbsoluteValue
THE ABSOLUTE value of any given number is the positive equivalent of that number ; hence ;
|8| = 8 ;
|-7| = 7
Hence,
|8| + |-7| = 8 + 7 = 15
Answer:
15
Step-by-step explanation:
Sally is three times as old as Sam. The sum of their ages is 84. How old is Sally?
Answer:
Sally is 63
Step-by-step explanation:
Represent Sally's age by x and Sam's by y.
Then x = 3y and x + y = 84.
Substituting 3y for x in the second equation, we get:
3y + y = 84, or 4y = 84, or y = 21. Since Sally is 3 times as old as Sam, we multiply 21 by 3: Sally's age is 3(21 years) = 63 years
What is another name for the line GI in the image below?
Answer:
Line m
Step-by-step explanation:
The line is labeled with an m.
Question 6
1 pts
If there are initially 12,000 bacteria in a culture, and the number of bacteria double
each hour, the number of bacteria after t hours can be found using the formula
N = 12,000 (24). How many bacteria will be present after 7 hours?
O 1,536.000
O 768,000
168,000
384.000
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Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
trust
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
ahhh help its PLATO
'la
Answer:
D
Step-by-step explanation:
To find the inverse of a function, first replace f(x) with y.
Next, switch all the x's and y's, and then solve for y.
Finally, replace y with f-1(x).
Pleaseee help ASAP !!!!!!!!!!!
Given:
The dimensions of base are 5 cm and 5cm.
The height of the pyramid is 3 cm.
To find:
The volume of the pyramid.
Solution:
The volume of a pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
The base area of the given pyramid is:
[tex]B=length \times width[/tex]
[tex]B=5 \times 5[/tex]
[tex]B=25[/tex]
Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(25)(3)[/tex]
[tex]V=25[/tex]
Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.
PLEASE HELP ME!!! I NEED THIS TO BE CORRECT THANK YOU
EXPLAIN UR ANSWER = BRAINLIEST
A trapezoid with an area of 54 cm² is dilated by a factor of 2/3.
The area of the dilated trapezoid is ___ square centimeters.
(this is just a word question!)
Answer:
The area of the image is equal to the area of the pre-image multiplied by the scale factor.
The area of the dilated trapezoid is __54*2/3=36_ square centimeters.
The following is a parallelogram solve for the variables
If X = 13 units, Y = 15 units, and h = 11 units, what is the area of the parallelogram shown above?
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units
Step-by-step explanation:
Plz help ill give brainlyest
Answer:
your answer would be become 11 feet
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
Select the equivalent expression.
the equivalent expression is C
A bike trail is 5 25 miles long. Rosie rides her bicycle on the bike trail 6 days a week. How many miles does Rosie ride per week? Choices are A. 30 2/5 miles B. 30 4/5 miles C. 32 2/5 miles D. 32 4/5 miles Thanks <3
Pls only help if you know the correct answer! Thanks! :)
Answer:
Line C.
Step-by-step explanation:
Negatives are supposed to be on the left side of the 0, not the right side, so we can determine that lines B and D are wrong. On line A, -3/5 is on -2 which is wrong, so line C is the correct answer.
o(d)'?
Which expression is equivalent to
Answer:
2nd Option:[tex] \frac{1}{ {a}^{42} } [/tex]
Step-by-step explanation:
[tex] {( {r}^{ - 7}) }^{6} [/tex]
Since,
[tex] {( {a}^{x}) }^{y} = {a}^{xy} [/tex]
Then,
[tex] = {r}^{ (- 7 \times 6)} = {r}^{ - 42} [/tex]
Since,
[tex] {a}^{ - 1} = \frac{1}{a} [/tex]
Then,
[tex] = {r}^{ - 42} = \frac{1}{ {r}^{42} } [/tex]
Therefore,
2nd Option is correct.
If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?
Answer:
S = 62.5%
Step-by-step explanation:
Let the junior members be J.Let the senior members be S.Given the following data;
Ratio of J:S = 3:5 = 3 + 5 = 8
To find what percent of team members are seniors;
[tex] S = \frac {5}{8} * 100 [/tex]
[tex] S = \frac {500}{8} [/tex]
S = 62.5%
Additionally, to find what percent of team members are juniors;
J = 100 - S
J = 100 - 62.5
J = 37.5%
Kevin's class just held a class election. 75% of the 28 students in the class voted. How many students voted?
THANKS, IM DESPERATE
Answer:
21
Step-by-step explanation:
75÷100×28=21
if its correct please mark as brainliest answer
b One of these numbers is the area of the outside curved surface of the cylinder, in cm', using
= 3. Which one?
A 15 B 30 C 1000 D 1500 E 3000
Answer:
B
[tex]area = 2\pi \: rh \\ = 2 \times 3 \times 5 \times 1 \\ = 30 \: {cm}^{2} [/tex]
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
B (x+3)−2=8open paren x plus 3 close paren minus 2 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
D x+3=9x plus 3 is equal to 9
E 2x=122 x is equal to 12
F 2x=15
Answer:
A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8
C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18
E 2x=122 x is equal to 12
Step-by-step explanation:
Given:
2(x+3) − 2 = 16
2x + 6 - 2 = 16
2x = 16 - 6 + 2
2x = 12
x = 12/2
x = 6
A. (x+3)−1=8
x + 3 - 1 = 8
x = 8 - 3 + 1
x = 6
B (x+3)−2=8
x + 3 - 2 = 8
x = 8 - 3 + 2
x = 7
C 2(x+3)=18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 12/2
x = 6
D x+3=9x
3 = 9x - x
3 = 8x
x = 3/8
E 2x=12
x = 12/2
x = 6
F 2x=15
x = 15/2
x = 7 1/2
John got $30 for weeding the garden. He used money to buy a $15.25 video game and three snacks that cost $1.25 each. He bought his friend a snack too. If he went home with 1/6 of the money he started with, how much did his friends snack cost? A $5.00 B $6.00 C $8.50 D $11.00 E $13.50 F $14.75
Answer:
B
Step-by-step explanation:
His friends snack was 6 dollars.
15.25+1.25= 16
16+1.25= 17.25
17.25+1.25= 19
1/6 of 30 is 5 because 5x6=30.
30-19=11
He has to have 5 left over so the snack was 6 dollars.
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
How many solutions does the system have?
-87 + 2y = 8
- 40 +y=4
THERE ARE 18 RED CRAYONS
AND 24 GREEN CRAYONS IN A
BASKET. WHAT IS THE RATIO OF
RED TO GREEN CRAYONS
Answer:
4 : 3
Step-by-step explanation:
So to answer this, we must find the greatest common factor(GCF) of 18 adn 24 , then divide by that to get the ratio.
So, what are the factors of 18?
2369118Now what are the factors of 24?
2368124All of these work, but we need to GCF, which is the largest factor that goes into both numbers.
Looking at them, it would be 6.
So lets divide both numbers by 6 and see what we get:
18/6
=
3
24/6
=
4
So now there are 3 red crayons and 4 green crayons.
OR
For every 3 red crayons there are 4 green crayons.
This makes the ratio:
3 : 4
Hope this helps!
Ration of red to green crayons is 3:4
Given that;Number of red crayons = 18
Number of green crayons = 24
Find:Ration of red to green crayons
Computation:Ration of red to green crayons = Number of red crayons / Number of green crayons
Ration of red to green crayons = 18 / 24
Ration of red to green crayons = 3/4
Ration of red to green crayons = 3:4
Learn more:https://brainly.com/question/20753385?referrer=searchResults
Help me with this problem !!!!!!!!!!
Answer:
Hi, your answer is y=[tex]-\frac{1}{2} x[/tex]-3
Step-by-step explanation:
We will use the slope-intercept formula which is
[tex]\frac{y2-y1}{x2-x1}[/tex]
We will use two points in this case I'll use
(-2,-2) and (-8,1)
[tex]\frac{1-(-2)}{-8-(-2)}[/tex]=[tex]-\frac{3}{6}[/tex] which can be simplified as [tex]-\frac{1}{2}[/tex]
Your Y will be -3
which your final answer will be y=-1/2x-3
Hope this helps :)
4x + 5 = 3x + 4??????????
4x + 5 = 3x +4
4x - 3x = 4-5
x = -1
value of x is equal to -1
Answer:
x = -1
Step-by-step explanation:
4x + 5 = 3x +4 (subtract 3x from both sides)
-3x -3x
=1x =0
rewrite: x + 5 = 4 (subtract 5 from both sides)
-5 -5
=0 =-1
Therefore x = -1 (Please mark brainliest hope i helped :)
A warehouse has a height of 8\frac{1}{2}8 2 1 meters, length of 120120 meters, and width of 20\frac{3}{10}20 10 3 meters. What is the volume of the warehouse?
Answer: [tex]20,706\ m^3[/tex]
Step-by-step explanation:
Given
The warehouse has the following dimension
Height is [tex]h=8\frac{1}{2}\ m[/tex]
[tex]h=\dfrac{17}{2}\ m[/tex]
Length is [tex]l=120\ m[/tex]
Width is [tex]w=20\frac{3}{10}\ m[/tex]
[tex]w=\dfrac{203}{10}\ m[/tex]
Volume of the warehouse is the product of height, length and width
[tex]\Rightarrow V=h\times l\times w\\\\\Rightarrow V=\dfrac{17}{2}\times 120\times \dfrac{203}{10}\\\\\Rightarrow V=20,706\ m^3[/tex]
Therefore, the length of the warehouse is [tex]20,706\ m^3[/tex].
p borrowed Rs. 16000 from a person at 12 % per Annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, how much did he gain after 3 years ? Find it.
Answer:
P earned $ 718.85.
Step-by-step explanation:
Given that P borrowed $ 16000 from a person at 12% per annum simple interest and lent the whole amount to Q at the same rate of annually compound interest, to determine how much did he gain after 3 years the following calculation must be performed:
16,000 x 0.12 x 3 = X
1,920 x 3 = X
5,760 = X
16,000 x (1 + 0.12 / 1) ^ 3 = X
16,000 x 1.12 ^ 3 = X
16,000 x 1.404928 = X
22,478.85 = X
22,478.85 - 16,000 = 6,478.85
6,478.85 - 5,760 = X
718.85 = X
Therefore, P earned $ 718.85.