Answer:
16.5 m/s
Step-by-step explanation:
Facot the expression 81x^2-25 ?
Apply difference of two square
\(x^2-y^2\text{ = (x - y)(x + y)}\)\(\begin{gathered} 81x^2\text{ - 25} \\ =(9x)^2-5^2 \\ \text{Apply difference of two square} \\ =\text{ (9x - 5)(9x + 5)} \end{gathered}\)Help with this math problem!
Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
Write a word problem for the equation:
2,530/23=9
Solve your problem any way you choose.
Answer:
bob has 2530 apples and he has 23 friends. if he were to divide the apples evenly between his friends, how many apples would each friend receive?
this is one possible word problem.
a bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?
Answer:
0.01462069 cost per tablespoon
Step-by-step explanation:
a bag of sugar costs $2.12
145 tablespoons of sugar
145:2.12 is the ratio
1:x where x represents per tablespoon cost
2.12 / 145 = 0.01462069 which rounds up to 0.02
Check if it correct:
145 x 0.01462069 = 2.12
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
In the diagram below, FC = 10.9,
DE = 17.5, and DF = 13.1. Find the
length of EB. Round your answer to the
nearest tenth if necessary.
D
F
E
C
B
The length of EB is approximately 14.6 units when rounded to the nearest tenth.
To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.
Using the similarity ratio, we can set up the proportion:
DF / CF = DE / EB
Plugging in the given values, we have:
13.1 / 10.9 = 17.5 / EB
To find EB, we can cross-multiply and solve for EB:
13.1 * EB = 10.9 * 17.5
EB = (10.9 * 17.5) / 13.1
EB ≈ 14.6
Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.
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(-9,2) and (-5, -6)
find midpoint of the segment with the following endpoints
Step-by-step explanation:
here is your answer.is it helpful or not,?
Given f(x)2x and g(x) = x^2+3 , find f(g(x)).
Answer:
2x^2 + 6.
Step-by-step explanation:
Replace the x in f(x) by g(x):
f(g(x)) = 2(x^2 + 3)
= 2x^2 + 6.
Nick mowed about 3/5 of the school lawn yesterday. The mowed another 1/4 of the remaining portion of the lawn this morning. How much is left to mow?
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%
Answer:
Alright, so we want to know how much that can be earned in one year. So that's going to be 3000. And this is simple interest. So this is one plus 0.011, which equals $3,033. And that's the solution to this exercise.
Answer:
$3,036
Step-by-step explanation:
The new customer can open a money market account. The bank will deposit $3,000 into the account.
The bank will pay 1.2% (0.012) in interest every year. This interest will increase the original amount to $3,036.
What is the sum of just the fraction parts of 1 5/8 and 1 6/8?
Answer:
Just the fraction parts: 11/8 or 1 3/8
Step-by-step explanation:
1 5/8 + 1 6/8 = 3 3/8
Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Hanna spells her name using 5 letter tiles. She places the tiles in a bag.
She randomly draws a tile, and then she draws a second tile from those
that remain. What is the probability that Hanna draws two tiles having
the same letter?
A. 2/15
B.1/6
C.1/5
D.4/5
Answer:
I'd assume D
Step-by-step explanation:
Hanna has 5 letters and 4 are 2 letters that are the same therefore 4 letter out of 5 chance
hi can you please help me with my work
Answer:
The answer is 3 1/2 inches!
Step-by-step explanation:
Which choice shows (5 + 9) + 10 correctly rewritten using the associative property
and then correctly simplified?
O 10 + (5 + 9) = 10 + 14 = 24
O 5+ (9 + 10) = 5 + 19 = 24
O 10 + (9+5) = 10 + 14 = 24
O 5+ (91+0) = 5 +91 = 96
Question ID: 116111
Submit
Copyright 2023 The MOC
The correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
What is the associative property?The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
Given that, an expression, (5 + 9) + 10
According to associative property of addition, (a+b)+c = a+(b+c)
Therefore,
(5 + 9) + 10 = 5+(9+10)
= 5+19
= 24
Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is 5+ (9 + 10) = 5 + 19 = 24
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The lion population in a certain reserve drops by 5% every year. Currently, the population's size is 325. i.Write a function that gives the lion population size,P(t), t years from today ii. What will the population be in 4 years. Write an exponential function for all three
Answer:
1. The function that gives the lion population size P(t), t years from today is:
P(t) = 325(0.95)^t
2. To find the population in 4 years, we can substitute t=4 in the function:
P(4) = 325(0.95)^4
P(4) = 279.14
So the population will be approximately 279 lions in 4 years.
3. The exponential function for all three years is the same as in part 1:
P(t) = 325(0.95)^t
If a randomly selected customer was satisfied with his/her meal, what is the probability that the customer ordered fish
Answer:
87.5%
Step-by-step explanation:
Complete question -
75% of the people who eat at Doug's Diner order fish and 90% of the people who order fish also order fries. Given that 80% of all people who eat at Doug's order fries, what is the probability that a randomly chosen customer orders fries without fish?
Solution
Given
People who order fish at the Doug's Diner = 75%
Out of this 75%, 90% also order fries which means that nearly 67.5% ordered fries with the fish.
Given that, 80% of people dining at Doug's Diner order fries
Then percentage or people who ordered only fires and no fish = 80% - 67.5% = 12.5%
The probability of customers who ordered fish = 100 - 12.5% = 87.5%
Question 20
1 pts
The probability that you will be ticketed for illegal parking on campus is about 1/3. During
the last nine days, you have illegally parked every day and have NOT been ticketed (you
lucky person!), Today, on the 10th day, you again decide to park illegally. Assuming the
outcomes are independent from day to day, the probability that you will be caught is
Answer:
Step-by-step explanation:
1/3
Since the outcomes are independent from each other, the probability remains the same for every day.
Which function will cross the y-axis at (0, 7)?
Oy=x+7
Oy=x-7
0y=x+5
Oy=7x
The value of function which cross the y-axis at point (0, 7) will be;
⇒ y = x + 7
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The point which cross the function = (0, 7)
Now,
Since, The point which cross the function = (0, 7)
Hence, The point must be satisfy the function.
By option (1);
⇒ y = x + 7
Put (x, y) = (0, 7)
⇒ 7 = 0 + 7
⇒ 7 = 7
Thus, The correct function which passes through the point (0, 7) is,
⇒ y = x + 7
Option (i) is true.
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If the Federal Reserve decreases the reserve rate from 6% to 4%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $15,000?
A.
It increases the amount by $250,000.
B.
It increases the amount by $125,000.
C.
It decreases the amount by $125,000.
D.
It decreases the amount by $250,000.
The amount of money increases by $125,000 due to the decrease in the reserve rate. The correct answer is B. It increases the amount by $125,000.
When the Federal Reserve decreases the reserve rate, it allows banks to hold a smaller portion of their deposits as reserves and lend out a larger portion. This change stimulates lending and increases the money supply in the economy through the process of fractional-reserve banking.
In this scenario, the initial deposit of $15,000 can be multiplied by the money multiplier, which is the reciprocal of the reserve rate. Initially, with a reserve rate of 6%, the money multiplier is 1/0.06 = 16.67. Therefore, the initial deposit can lead to a maximum increase in the money supply of $15,000 x 16.67 = $250,050.
When the reserve rate is decreased to 4%, the money multiplier becomes 1/0.04 = 25. Therefore, the same initial deposit of $15,000 can now result in a maximum increase in the money supply of $15,000 x 25 = $375,000.
The difference between the two scenarios is $375,000 - $250,050 = $124,950, which is approximately $125,000. Hence, the amount of money increases by $125,000 due to the decrease in the reserve rate.
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Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) integral 4 + Squareroot x + x/x dx
The answer of this queation :∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C
where C = C1 + C2 + C3 is the constant of integration for the entire expression.
eparate integrals:
∫ 4 dx + ∫√x dx + ∫ x/x dx
The first two integrals can be easily integrated as follows:
∫ 4 dx = 4x + C1, where C1 is a constant of integration.
∫√x dx = 2/3 x^(3/2) + C2, where C2 is a constant of integration.
For the third integral, note that x/x simplifies to 1 for all nonzero x.
∫ x/x dx = ∫ 1 dx = x + C3, where C3 is a constant of integration.
Putting it all together, we have:
∫ (4 + √x + x/x) dx = 4x + 2/3 x^(3/2) + x + C
where the integration constant for the entire statement is C = C1 + C2 + C3.
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Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.
3y = x
A. inverse variation
B. direct variation
Answer:
B
Step-by-step explanation:
the equation representing direct variation is
y = kx ← k is the constant of variation
The equation representing inverse variation is
y = \(\frac{k}{x}\) ← k is the constant of variation
Given
3y = x ( divide both sides by 3 )
y = \(\frac{1}{3}\) x ← equation representing direct variation
with k = \(\frac{1}{3}\)
Which number line represents the solution to 2.5 – 1.2x < 6.5 – 3.2x? A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 4 and a bold line starts at 4 and is pointing to the right. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the left. A number line from negative 5 to 5 in increments of 1. An open circle is at 2 and a bold line starts at 4 and is pointing to the right.
Answer:
Graph C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did the asignment and got it right
CAN SOMEONE HELP ME WITH ALGEBRA 2?
The solution set is for the given inequality is (-∞, -2.25]
How to solve the inequality?Here we want to solve the following inequality:
-11 - 8k ≥ 23 - (7 - 4k)
To solve this, we need to isolate the variable k in one side of the equation.
First we can expand the right side so we get:
-11 - 8k ≥ 23 - (7 - 4k)
-11 - 8k ≥ 23 - 7 + 4k
Group like terms:
-11 - 23 + 7 ≥ 4k + 8k
-34 + 7 ≥ 12k
-27 ≥ 12k
-27/12 ≥ k
-2.25 ≥ k
Then the solution is the set of all values smaller than or equal to -2.25, then the solution set is (-∞, -2.25]
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Can someone help me with this answer I’m on a test and it’s almost due
16.5 / p = 11 / 18
p = 16.5 × 18 / 11
p = ( 16.5 / 11 ) × 18
p = 1.5 × 18
p = 27
Solve by graphing
x + 3y = 1
-3 - 3y = -15
The solution of the given equation is (-11, 4). the graph is attached below.
What are Systems of equations?Simultaneous equations, a system of equations are Two or more equations in algebra that must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equation x + 3y = 1 and -3 - 3y = -15
Before solving it with a graph we need to simplify the equation:
From equation 1
=> -3 - 3y = -15
=> -3y = -12
=> y = 4
From substitution in equation 1
x = -11
therefore, The solution of the given equation is (-11, 4).
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Write an equation in standard form passing through the given point and parallel to the given line: (-1,-1) y = - x - 5
A: x - y = -2
B: x + y = 0
C: x - y = 0
D: x + y = -2
Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.
What is standard form?The process of expressing a specific element in mathematics in the most typical way is known as standard form. Every element of mathematics, including big and small numbers, equations and lines, is designated in a standard form.
A standard form is a way of expressing a certain mathematical idea, such as an equation, number, or expression, in a way that adheres to a set of rules. The standard form is used to clearly represent extremely large or extremely small numbers.
To write an equation in standard form passing through the (-1,-1) and parallel to y = - x - 5, we need to find y-intercept form first
We know that parallel lines have same slope, so
y - y1 = m(x - x1)
y -(-1) = -1(x -(-1)
y + 1 = -x - 1
y = -x - 2
y + x = -2
Thus, Option D, x + y = -2 is the equation in standard form passing through the (-1,-1) and parallel to y = -x - 5.
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Karima made `9` pairs of earrings in `6` hours. How long will it take Karima to make `12` pairs of earrings?
Answer:
8 hours
Step-by-step explanation:
9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours
Karima can make 12 pair of earrings in 8 hours.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Given that, Karima made 9 pairs of earrings in 6 hours.
Let the number of hours it took to make 12 pair of earrings be x.
Now, the proportion is
9/6 =12/x
9x=72
x=8
Therefore, Karima can make 12 pair of earrings in 8 hours.
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The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an inequality for the temperature during the winter day. What constant should Digby use in the inequality?
The constant that will be used in Digby's linear inequality will be 8.
What are linear inequalities, exactly?
Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.
The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.
Now,
Given that The temperature during a winter day was less than 8 degrees Fahrenheit.
let x be the temperature in degree Fahrenheit
then the linear inequality to show the statement will be
x<8 where 8 is a constant
Hence,
The constant that will be used in Digby's linear inequality will be 8.
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Answer:
The awnser is 8.
Step-by-step explanation:
i just know<33