Answer:
x=−3y+6; x=−4y−6
Step-by-step explanation:
Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous year. Write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.
Answer: [tex]56,900\left( 0.919\right)^x[/tex]
Step-by-step explanation:
Given
Marcos purchased a sailboat for [tex]\$56,900[/tex]
Each year the boat will decrease in value by [tex]8.1\%[/tex]
After 1 year it is
[tex]\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\[/tex]
after another year it becomes
[tex]\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2[/tex]
After [tex]x[/tex] years it is
[tex]\Rightarrow 56,900\left( 1-0.081\right)^x[/tex]
[tex]\Rightarrow 56,900\left( 0.919\right)^x[/tex]
The area of a rectangle is 24x5y7 square yards. If the length of the rectangle is 3x2y6, which expression represents the width of the rectangle in yards?
Answer: [tex]8x^3y[/tex]
Step-by-step explanation:
Given
The area of a rectangle is [tex]24x^5y^7[/tex]
The length of the rectangle is [tex]3x^2y^6[/tex]
The area is given by the product of length and width
Suppose, w is the width of the area
[tex]\therefore A=l\times w\\\Rightarrow 24x^5y^7=3x^2y^6\times w\\\\\Rightarrow w=\dfrac{24x^5y^7}{3x^2y^6}\\\\\Rightarrow w=8x^3y[/tex]
Thus, the width of the rectangle is [tex]8x^3y[/tex]
HELP! WILL MARK BRAINLIEST!
Consider the function f(x) = x2 + bx – 2, where b is a constant. If the function has an axis of symmetry at x = – 3, what is the value of b?
Answer:
Step-by-step explanation:
if x=-3 is axis of symmetry then
(x+3)²=0
x²+6x+9=0
so b =6
Please help :) I will mark brainless
Which expression is equivalent to 16x4 – 64? and explain the answer plzz
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
Please help thank you
Answer:
1: one solution *x=6
2: no solution
Step-by-step explanation:
1: 4/ 2x -6 = 10/ x +9 --> *cross multiply*
20x - 60 = 4x + 36 --> *subtract 4x from both sides*
16x - 60 = 36 --> *add 60 to both sides*
16x = 90 --> divide by 16
x = 6
this is exact and approximate pi. SOMEONE HELP PLSSS
3. The quadratic function f(x) = - x ^ 2 + 8x - 2 has a turning point whose -coordinate is 4. Which of the following represents the range of this function?
Answer:
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
What is the vertex of the parabola? y+1=−1/4(x−2)2 Enter your answer in the boxes. ( , )
Answer: Just took the test the guy above me is correct correct
Step-by-step explanation:
Answer:
(2,-1)
Step-by-step explanation:
I took the test
no one wants to help me..someone please help!!
How many solutions does this system of equations have? y=6x+x+3 y=7x+3+1
:]
Answer: no solutions
Step-by-step explanation:
y = −7x + 3
y + 7x = 10
Answer:
No solution the lines are parallel
Step-by-step explanation:
y = 6x +x + 3
y = 7x + 3
y = 7x + 3 + 1
y = 7x + 4
No solution the lines are parallel
why is this true 9a=11a-2a
Answer:
9a = 11a - 2a
9a = 9a
Step-by-step explanation:
9a = 11a - 2a
11 - 2 = 9
Similarly, 11a - 2a = 9a
Eleven minus two equals nine. Similarly, 11a minus 2a equals 9a. You can subtract them because they both have the same variable a.
What is the equation of the circle with: center (5, 7) & point on the circle: (-2, 8)?
Answer: (x - 5)^2 + (y - 7)^2 = 50
Step-by-step explanation:
The general equation for a circle is (x - a)^2 + (y - b)^2 = r^2 where (a, b) is the centre
Use Pythagoras to find r^2
r^2 = (5 - -2)^2 + (7 - 8)^2
= 7^2 + (-1)^2
= 50
So the circle is (x - 5)^2 + (y - 7)^2 = 50
WHAT IS THE SIN (-300)
Answer:
√3/2 or 0.886025
Step-by-step explanation:
Use a calculator to find the value of these data. Round the value to three
decimal places.
A-0.953
B. -1.909
C. 0.909
D. 0.953
The value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
We have given data in the table.
As we know, the formula for the correlation is given by:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
After plugging the value, we will get the value of r:
r = -0.953
Thus, the value of coefficient of correlation coefficient is -0.953 which is a negative correlation between x and y option (A) is correct.
Learn more about the correlation here:
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the charge for a microwave repair visit was $81.21, including tax. if the tax was $6.70, then how much was repair visit?
Answer:
i belive the answer would be 74.51$?
Step-by-step explanation:
ASAP LAST DAY TO TURN IN*
Determine the surface area of the three-dimensional composite figure after rotation about the x-axis. Show all work to receive credit. Bubble answer on griddable. Round to the nearest hundredth if necessary.
Answer:
72.85 sq units
Step-by-step explanation:
SA = (½×4×3.14×2²)+(2×3.14×2×2) +(3.14×2×3.6)
= 25.12+25.12+22.61
= 72.85 sq units
when you see the word expect you will
Answer:
Um, yes? No clue what you're asking.
Answer:
could you try to rephrase that question? I don't think I understand it.
Dave rolled a number cube 10 times and recorded the frequency of each result in this table. According to the table, what is the experimental probability in simplest form that the number cube shows 6? A.1/10 B.1/6 C. 3/10 D. 1/2
Answer:
C is infact correct
Step-by-step explanation:
Give guy above brainly
The experimental probability in simplest form that the number cube shows 6 will be 3/10.
What is probability ?Probability is a branch of mathematics that deals with the occurrence of a random event.
According to the question
Dave rolled a number cube 10 times and recorded the frequency of each result in this table.
From the table it can be seen that the frequency of rolling a 6 is 3 and the probability of the event occuring is 1/6
so ,
The experimental probability in simplest form that the number cube shows 6 will be
= Frequency / No. of times the dice is rolled
= 3/10
The experimental probability in simplest form that the number cube shows 6 will be 3/10.
To know more about Probability
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Question 5 of 10
Which expression is equivalent to 22 - 3?
A. 22 + 3
B. -22 + 3
C. -22+(-3)
O D. 22+(-3)
SUB
Answer:
D is equivalent to the equation bc you can do additive inverse.
Step-by-step explanation:
22 - 3
You change the symbol to its inverse and the second number to its opposite
22 + (-3)
The graph of the function y=-2(x-1)+3
opens up.
a.True
b. False
highest common multiple of 36 and 100
Answer: 2
Step-by-step explanation:
there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of
these subjects. how many students
take both subjects?
.
Answer:
n(U)=30
n(H)=15
n(G)=18
n(H ∪ G)'=5
n(H ∪ G)=n(U)-n(H ∪ G)'
=30-5=25
So ,n(H ∩ G)=n(H)+n(G)-n(H ∪ G)
=15+18-25=8
Therefore, 8 students take both subjects.
A set is a mathematical model for a collection of diverse things. The total number of students who who take both History and Geography is 8.
What is a set?A set is a mathematical model for a collection of diverse things; it comprises elements or members, which can be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.
Given that there are 30 students in a class. of those, 15 take history, 18 take geography, and 5 take neither of these subjects. Therefore, we can write the following values,
Total students, n(S)=30Students who take History, n(H)=15Students who take Geography, n(G)=18Students who take neither of the subject, n(H' ∪ G') =5Now, the number of students who take at least one of the two subject can be written as,
Students who choose at least one subject
= Total students - Students who take neither of the subject
n(H ∪ G) = n(U) - n(H ∪ G)'
n(H ∪ G) = 30 - 5
=25
Further, the total number of students who who take both the subjects can be written as,
Students who take both the subjects = Students who take History + Students who take Geography - Students who choose at least one subject
n(H ∩ G) = n(H) + n(G) - n(H ∪ G)
n(H ∩ G) = 15 + 18 - 25
n(H ∩ G) = 8
Hence, the total number of students who who take both History and Geography is 8.
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The dot plots show the heights of boys and girls at a summer camp.
Heights of Boys and Girls at Camp
2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60.
Which is a true statement for most of the data in each plot?
Most of the data in each plot are greater than 48.
Most of the data in each plot are less than 48.
Most of the data in each plot are around 52.
Most of the data in each plot are around 54.
Answer:
A.
Step-by-step explanation:
Most of the data in each plot are greater than 48, EDG 2021
Answer:
a
Step-by-step explanation:
somebody pls help me and pls show work!
(no links)
Answer:
I think the answer is letter A.
Answer:
its A
Step-by-step explanation:
just expand it out
I'm guessing you don't know how to multiply fractions, just do a/b *c/d = ac/bd
and a(b+c) = ab+ ac
HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.
Answer:
V = 18.84 units³
Step-by-step explanation:
The formula for the volume of a cone of base radius r and height h is
V = (1/3)(pi)(r²)(h).
Here, with pi = 3.14, r = 3 and h = 2, we get:
V = 18.84 units³
hey! i’ll give brainliest please help!
Answer:
becoming a monarch I guess that is the correct answer
Answer:
becoming a monarch is the answer
If the correlation coefficient is 0.654, what is the explained variation? (give answer as a percent)
Answer:
42.7%
Step-by-step explanation:
Correlation is a statistical measure of inter relationship between two variables' co movement.
Correlation coefficient denotes the direction & extent by which two variables' (same or opposite) movement is linked to each other.
Coefficient of determination = r^2 symbolises percentage of variation in one variable, that can be explained by variation in other variable.
So, in this case r^2 = (0.654)^2 = 0.427716 ; Hence approx 42.7% variation in one variable can be explained by variation in other.
7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.
Answer:
x < 25
Step-by-step explanation:
ayee
Kailynn has a bag with an equal number of red, yellow, and blue marbles. She
makes a tree diagram to show the sample space if she randomly selects two
marbles out of the bag.
What is the probability that both marbles selected are different colors?
Answer:
6/9
Step-by-step explanation:
Probability is the likelihood or occurrence of an event. Probability is the ratio of the total number of possible outcomes to the total outcomes. That is:
Probability = total possible outcomes / total outcomes
From the tree diagram we can see that:
total outcomes = {RR, RY, RB, YR, YY, YB, BR, BY, BB} = 9
getting different colors = {RY, RB, YR, YB, BR, BY} = 6
Therefore, the probability that both marbles selected are different colors = number of different colors / total outcomes
The probability that both marbles selected are different colors = 6 / 9