There were 9 zebra mussels in 2018.
We are given that in 2018, there were z zebra mussels in a section of the river.
In 2019, there were \(z^3\) zebra mussels in the same section.
And it is mentioned that there were 729 zebra mussels in 2019.
To find the value of z, we can set up an equation using the given information.
We know that \(z^3\) represents the number of zebra mussels in 2019.
And we are given that \(z^3\) = 729
To find the value of z, we need to find the cube root of 729.
∛(729) = 9
So, z = 9.
Therefore, in 2018, there were 9 zebra mussels in the section of the river.
You can verify this by substituting z = 9 into the equation:
\(z^3 = 9^3 = 729.\)
Hence, there were 9 zebra mussels in 2018.
for such more question on zebra mussels
https://brainly.com/question/31192031
#SPJ8
If 7n+3=4/3 , what is the value of 7n + 5? Group of answer choice A. -5/21 B. -5/3 C. 13/3 D. 10/3
PLZ help me
Answer:D-10/3
Step-by-step explanation:
The value of 7n + 5 is 13/3
In order to determine the value of 7n + 5, the first step is to determine the value of n from the first equation given : 7n+3=4/3
7n+3=4/3
Combine similar terms
7n = 4/3 - 3
7n = 1 1/3 - 3
7n = -1 2/3
Divide both sides of the equation by 7
n = -1 2/3 ÷ 7
n = -5/3 x 1/7 = -5/21
Substitute for the value of n in this equation: 7n + 5
7(-5/21) + 5
= -5/3 + 5
= -1 2/3 + 5 = 4 1/3 = 13/3
A similar question was solved here: https://brainly.com/question/15757732?referrer=searchResults
Which represents the inverse of the function f(x) = 4x?
• h(x) = x + 4
• h(x) = x-4
•h(x) = 3/4x
•h(x) = 1/4x
Answer:
f^-1 (x) = x/4
Step-by-step explanation:
HOW DO I SOLVE THIS 20POINTS
The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1
Determining the solution of the system of equationsFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2^x + 1
g(x) = 3^x
The above expression is a system of exponential equations
We are required to solve by graph
That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system
Next, we plot the graph
See attachment for the graph of the equations
The ordered pairs of the intersection point is (1, 3)
Read more about equations at
https://brainly.com/question/148035
#SPJ1
HELP! BRAINLIEST AND 15 POINTS!
Step-by-step explanation:
first solve for h
\(fh(4)=f(\frac{4+3}{3} )=f(\frac{7}{3} )\)
\(f(\frac{7}{3} )=-3(\frac{7}{3} )-1=-7-1=-8\)
\(so fh(4)=-8\)
Could someone please help! been struggling on these for a few mins !
The logarithmic form of the exponential expressions are;
1) log2 5 = x
2) log3 10 = y
3) logk 6 = 5
4) log2 32 = 5
5) log3 81 = 4
6) log 3 27 = 3
7) log10 100 = 2
8) logx y = 2
9) log10 x = 20
10) logp q = 10
11) logx y = 1/2
12) log9 3 = 1/2
What is the logarithmic form?We have to note that we can be able to write an exponential equation in the logarithmic form or in the exponential form. In the exponential form we we would have something like;
a^x = P
While in the logarithmic form we can be able to have something like;
logaP =x
These are the two forms that we can be able to write the equations that we have in the question.
Learn more about exponential form:https://brainly.com/question/29287497
#SPJ1
On a digital clock, how many times in a 12 hour period is each succeeding digit one more than the preceding digit? (example:12345)
In a 12-hour period of digital clock, there are 2 instances.
The 12-hour clock runs from 1am to noon and then from 1pm to midnight. The 24-hour clock runs from 00:00 (midnight) to 23:59.
In a 12-hour period on a digital clock, there are a few instances when each succeeding digit is one more than the preceding digit. Let's break it down hour by hour,
1. 01:23 (only in the 1st hour)
2. 12:34 (only in the 12th hour)
In a 12-hour period, there are only 2 instances when each succeeding digit is one more than the preceding digit on a digital clock.
Learn more about "clock": https://brainly.com/question/2078551
#SPJ11
What is the axis of symmetry? Type the answer only as a number.
F(x)=(x+1)(x+2) PLS ANSWER FAST
Answer:
I just want some p0ints hope you find the answer
Answer:
the axis of symmetry is -3/2
In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..
Answer:
2x+5x+3x=180°
10x=180°
x=180/10
x=18° ans..
Answer:
18
Step-by-step explanation:
Sum of angles in a straight line is 180,
2x + 5x + 3x = 180
10x = 180
x = 180 / 10
x = 18
For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
a) always
b) when b = 0
c) when b = 5/4
d) when b = 5
Answer:
B
Step-by-step explanation:
Let C=D={-3, -2, -1, 1, 2, 3} and define a relation S from C to D as follows: For all
( x , y ) \in C \times D
(x,y)∈C×D
.
( x , y ) \in S
(x,y)∈S
means that
\frac { 1 } { x } - \frac { 1 } { y }
x
1
−
y
1
is an integer. a. Is 2 S 2? Is -1S-1? Is (3, 3)
\in S ?
∈S?
Is (3, -3)
\in S ?
∈S?
b. Write S as a set of ordered pairs. c. Write the domain and co-domain of S. d. Draw an arrow diagram for S.
Answer:
Step-by-step explanation:
I'm pretty
a. Let's check whether the given pairs are in the relation S or not.
Is 2 S 2?
To check if (2, 2) is in S, we need to evaluate the expression:
(1/2) - (1/2) = 1/2 - 1/2 = 0
Since 0 is an integer, (2, 2) is in S.
Is -1 S -1?
To check if (-1, -1) is in S, we need to evaluate the expression:
(1/-1) - (1/-1) = -1 - (-1) = 0
Since 0 is an integer, (-1, -1) is in S.
Is (3, 3) ∈ S?
To check if (3, 3) is in S, we need to evaluate the expression:
(1/3) - (1/3) = 1/3 - 1/3 = 0
Since 0 is an integer, (3, 3) is in S.
Is (3, -3) ∈ S?
To check if (3, -3) is in S, we need to evaluate the expression:
(1/3) - (1/-3) = 1/3 + 1/3 = 2/3
2/3 is not an integer, so (3, -3) is not in S.
b. Set of ordered pairs S:
S = {(x, y) | (1/x) - (1/y) is an integer}
S = {(2, 2), (-1, -1), (3, 3)}
c. Domain and Co-domain of S:
Domain of S: The set of all first components (x-values) of the ordered pairs in S.
Domain of S = {-3, -2, -1, 1, 2, 3}
Co-domain of S: The set of all second components (y-values) of the ordered pairs in S.
Co-domain of S = {-3, -2, -1, 1, 2, 3}
d. Arrow diagram for S:
Domain (C): {-3, -2, -1, 1, 2, 3}
Co-domain (D): {-3, -2, -1, 1, 2, 3}
(2, 2) -----> (0) // 0 represents an integer
(-1, -1) -----> (0)
(3, 3) -----> (0)
(3, -3) -----> (2/3) // 2/3 is not an integer
Note: The arrow diagram helps visualize the mapping of elements from the domain to the co-domain based on the relation S. Arrows point from the element in the domain to the result of the expression (integer or not integer) in the co-domain.
To know more about integer here
https://brainly.com/question/929808
#SPJ2
Please help I am not understanding
Answer:
12.39cm
Step-by-step explanation:
cos 25°=AB/12.5
AB=12.5 cos 25°
cos 25°=0.9912
AB=12.5×0.9912
=12.39cm
NEED HELP ASAP! Triangles RST and UVW are similar. Find the missing side y?
A.) 10.965
B.) 11.345
C.) 10.15
Step-by-step explanation:
A.)10.965
byffdddooiy77
===============================================
Explanation:
RS and UV are the first two letters of RST and UVW respectively. So that means RS corresponds to UV to form the ratio RS/UV.
RT and UW are the first and last letters of RST and UVW. So we have RT/UW as another ratio. This ratio is equal to the first ratio we found since the triangles are similar. Similar triangles have their corresponding sides be in proportion with one another.
So we can form this equation
RS/UV = RT/UW
Let's apply substitution and solve for y
------------------
RS/UV = RT/UW
10/(14.5) = 7/y ...... substitution
10*y = 14.5*7 ........ cross multiply
10y = 101.5
y = 101.5/10 ....... dividing both sides by 10
y = 10.15
Bill's Apparel and Bud's Apparel are two sporting goods retailers. Bill's want to buy 360 small jerseys, 540 medium jerseys, and 300 large jerseys, while Bud's want to buy 240 small jerseys, 600 medium jerseys, and 360 large jerseys. The two dealers from which they are looking to buy their jerseys are Zest Athletics and Zeal Sporting Wear. Zest charges $14 for small jerseys, $18 for medium jerseys, and $21 for large jerseys. Zeal charges $16 for small jerseys, $18 for medium jerseys, and $19 for large jerseys. Use matrix multiplication to find the dealer each retailer should choose for its purchase.
Answer:
D
Step-by-step explanation:
Doing the math, For Bill's to buy it's clothes from Zest, it would take $21060,
while it would take $21180 from Zeal. So Bill's wants Zest.
Bud's price for Zest is $21720, and for Zeal is $21480. Bud's Wants Zeal.
Bill should purchase from Zest and Bred should purchase from Zeel.
What is matrix multiplication?
Matrix multiplication is a binary operation that creates a matrix from two matrices in mathematics, especially in linear algebra. The first matrix's columns must have the same number of rows as the second matrix's rows in order for matrices to be multiplied.
Bud's Apparel and Bill's Apparel are two stores that sell athletic items. In contrast to Bud, who wants to purchase 240 small jerseys, 600 medium jerseys, and 360 large jerseys, Bill wants to purchase 360 small jerseys, 540 medium jerseys, and 300 large jerseys. They are looking to purchase their jerseys from Zest Athletics and Zeal Sporting Wear, respectively. Small, medium and large jerseys cost $14, $18, and $21, respectively, from Zest. Small, medium and large jerseys cost $16, $18, and $19, respectively, from Zeal. From matrix multiplication.
For bill,
if bill buys from zest: 14* 360 + 18* 540 +21*300 = 21060
if bill buys from zeel: 16*360 + 18* 540 + 19*300 = 21180
Since 21060<21180
thus bill should buy from the zest
For bud
if bud buys from zest: 14* 240 + 18* 600 +21*360 = 21720
if bud buys from zeel: 16*240 + 18* 600 + 19*360 = 21480
Since 21720 > 21480
thus bud should buy from the zeal
Therefore, Bred should buy from Zeel, and Bill should buy from Zest.
Learn more about Matrix multiplication here:
https://brainly.com/question/28180105
#SPJ2
Tyreek and his 4 friends equally split 3cups of juice. How much juice does each person get?
Answer:
\(\frac{3}{5}\) or 0.6 of a cup of juice
Step-by-step explanation:
Divide 3 by 5:
3/5
= 0.6
So, each person would get \(\frac{3}{5}\) or 0.6 of a cup of juice.
1. -9x + 1 = -80
What is the value of x
please help I suck at 2 step equations
and answer the questions below as well, please
find the value of X
2. x/8 = 11
3. 10 - 6x = -104
4. -3x = 18
5. x/-4 = 6
6. -9x - 13 = -103
7. 8 + x/-4 = 5
8. 5 - x = 20
THANK YOU
Answer:
1. x=9
2. x=88
3. x=-15.7
4. x=-6
5. x=-20
6. x=10
7. x=-12
8. x=25
Hope this helps
? Question
Each set of ordered pairs represents two points on a line. Match each set of ordered pairs with the description of the line
they are on.
Tiles
(-5,-3) and (-5,3) (-7,-1) and (-1,-7)
(-6,-2) and (6,-2)
The correct matching of the ordered pairs and the line they are on are:
(-5,-3) and (-5,3) - No slope. (-7,-1) and (-1,-7) - Slope = -1(-6,-2) and (6,-2) - No slope What lines do the ordered pairs belong to?The slope of the first pair is:
= (3 - (-3)) / (-5 - (-5))
= No slope as slope is 0
The slope of the second pair is:
= (-7 - (-1)) / (-1 - (-7))
= -1
The slope for the third pair is:
= (-2 - (-2)) / (6 - (-6))
= 0 or No slope
Rest of the question is:
slope = -1
No slope
No slope
slope = 2
Find out more on the slope of a line at https://brainly.com/question/3493733.
#SPJ1
Answer: vertical line- (-5,-3) and (-5,3)
neither- (-7,1) and (-1,-7)
horizontal line- (-6,-2) and (6,-2)
hopefully this helps
Step-by-step explanation:
Solve: 5x-3+2x = 5x+3 show your work
Answer:
x = 3
Step-by-step explanation:
5x - 3 + 2x = 5x + 3
subtract 5x from both sides
5x - 5x - 3 + 2x = 5x - 5x + 3
-3 + 2x = 3
add 3 to both sides
-3 + 3 + 2x = 3 + 3
2x = 6
divide both sides by 2
2x/2 = 6/2
x = 6/2
x = 3
Answer:
x = 3
Step-by-step explanation:
5x - 3 + 2x = 5x + 3. that is
7x - 3 = 5x + 3 ( subtract 5x from both sides )
2x - 3 = 3 ( add 3 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
PLS HELP marking brainliest
20-27 show ur work
Answer:
-7?
Step-by-step explanation:
I mean, is the question 20 - 27 =? Or it's something else? Lol.
20 - 27 = -7, it's very straightforward cannot write it in more detailed way. When we substract a number from another and the first one is smaller the result is a negative number. Imagine someone sells up to 3 apples, you ask him to give you 5. He gives you all 3 of his so he has 0 but you force him to go and get another 2 for you. He lost another 2, so he has less than 0 now. He has -2 apples: 3 - 5 = -2.
Now, I don't know if this is the question or these are set of exercises you must solve and your picture just didn't upload. Let me know if you need help with anything else.
cv0627 answer this :))
they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!
Solve the System of Equations
Answer:
x = -4
y = 6
Step-by-step explanation:
\(y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\\)
\(\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4\)
\(Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6\)
3. Of the shareholders in a service corporation, 56% are women. If 72,820 shareholders are men, how many shareholders are women ?
Answer:
44% of 72,820 = .44 × 72,820 = 32,040.8 = 32,041 shareholders are women.
let ???? represent the difference between the number of heads and the number of tails obtained when a coin is tossed ???? times. what are the possible values of ?????
The possible values of X are that if n is even X can takes even integers from [-n, n], and if n is odd, X can takes odd integers from [-n, n]
To solve this question, we can use X to represents the difference between the number of heads and the number of tails obtained when a coin is tossed X times, the possible values of X are now obtained below:
Let H be the no. of heads and T be the no. of tails, since the coin is tossed n times, we have:
H+T=n
now, X = H-T ,
X=H-(n-H)
X=2H-n
Now,
H takes values {0,1,2,3 ......,n-2, n-1,n}
2H takes values {0,2,4,6,.....,2n-4,2n-2,2n}
2H - n takes values {-n,-(n-2),-(n-4), -(n-6),.............,n-4, n-2,n}
X takes values {-n,-(n-2), -(n-4),-(n-6),.............,n-4, n-2, n}
therefore, if n is even X can takes even integers from [-n, n]
and, if n is odd, X can takes odd integers from [-n, n]
Learn more about numbers here:
https://brainly.com/question/24813072
#SPJ4
Helpppppp please please
Step-by-step explanation:
answer: a) both x are 16, it is an equalatrial triangle
b) (mark as the brainliest and i"ll give you the answer
Answer:
22
Step-by-step explanation:
You can use division because the angles are the same:
From the first one to the second you divide by 2
16/2=8
So that means x/2=11
So x=22
what is the probability that a player wins $100 by matching exactly three of the first five and the sixth numbers or four of the first five numbers but not the sixth number?
The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.
To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.
Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.
Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.
Learn more about probability here: brainly.com/question/30034780
#SPJ11
Which expression is equivalent to −30+(−40)+(−70) ?
−(30−40)+(−70)
−30+(−70)+(−40)
30+40+70
−30−(40−70)
Answer:
the second on 222222222222
procedure mystery (number){ result ← 1 repeat until (number = 1) { result ← result * number number ← number - 1 } return (result)}
The Mystery PROCEDURE's behaviour is best described by the statement Return whether or not word is in list.
What is return?When control is sent back to the caller function, the running of a function is complete. Following the call, the calling function immediately continues operation. The invoking function might get a value via a return statement. Visit Return type to find out more.
The script or function that called the function will receive a value once the function has completed its task. Return values can be of any of the four variable types: handle, integer, object, or string. The task your function completes has a significant impact on the outcome it produces. A return, often known as a financial return, is the amount that an investment makes or loses over time.
To know more about Return, visit:
https://brainly.com/question/12948006
#SPJ1
The complete question is,
PROCEDURE Mystery (word, list)
{
FOR EACH item IN list
{
IF (item = word)
{
RETURN (true)
}
}
RETURN (false)
}
Which of the following best describes the behavior of the Mystery PROCEDURE?
f(x) = x + 2 g(x) = x - 4
(f g)(x) =
O 2x - 2
O x2-8
O x2 - 2x -8
O x2 + 2x - 8
Step-by-step explanation:
f(x) = x + 2
g(x) = x - 4
= (f×g)(x)
= f(x) × g(x)
= (x + 2)(x - 4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Option → C
Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help
Answer:
equation of g(x) is 3-x
f(x)= -x+6 g(x)=f(x+3)
then,,
f(x+3)=-(x+3)+6 =-x-3+6 = 3-xie.. g(x)=3-x
Review the data you collected for the angles in Question 2. Notice that ∠CFB is one of four angles formed by the two intersecting chords. What relationship do you observe that could help you determine the measure of any of the four angles created by two intersecting chords? Write the relationship as an equation.
Answer:
The measure of an angle created by two intersecting chords is half the sum of the measure of the intercepted arc and the measure of the arc vertically opposite to the angle. In this case, I can write m∠CFB = 1/2(m∠CAB + m∠EAD) because the measure of an intercepted arc is equal to the measure of its corresponding central angle.
Explanation:
sample answer from edmentum
Voltage Divider Formula / Equation
The voltage divider formula is used to calculate the output voltage of a circuit that is divided into two parts.It is expressed as Vout=Vin*(R2/(R1+R2))
It is expressed as Vout=Vin*(R2/(R1+R2)), where Vout is the output voltage, Vin is the input voltage, R1 is the resistance of the first part, and R2 is the resistance of the second part. The voltage divider formula is based on Ohm's Law, which states that the voltage across a circuit is equal to the current multiplied by the resistance. When a voltage is divided across two parts, the voltage in each part is equal to the voltage of the circuit multiplied by the resistance of each part. To calculate the output voltage, multiply the input voltage by the resistance of the second part, then divide it by the sum of the resistances of both parts. For example, if the input voltage is 10V and the resistances of the two parts are 5 Ohms and 10 Ohms, the output voltage would be Vout=(10V)*(10Ω/(5Ω+10Ω))=6.67V.
Learn more about voltage here:
https://brainly.com/question/30687226
#SPJ4