The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.The intercept b represents the initial position.The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.x2(t) = 600 - 90t. (negative as they travel in opposite direction).They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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The time that it will take for the spaceships to meet is given as follows:
3 hours.
How to model the situation?
Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
The slope m represents the velocity.
The intercept b represents the initial position.
The positive direction is considered from the first spaceship towards the second spaceship.
The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:
710,000 - 110,000 = 600,000 km.
Then the functions are given as follows:
x1(t) = 110t.
x2(t) = 600 - 90t. (negative as they travel in opposite direction).
They will meet when:
x1(t) = x2(t).
Hence:
110t = 600 - 90t
200t = 600
t = 600/200
t = 3 hours.
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Max used 12 1⁄2 pounds of deli meat in one week at his sandwich shop. If he uses 1⁄4 of a pound of meat for each sandwich, how many sandwiches did he make with the deli meat?
Answer:
[tex]12 \frac{1}{2} \div \frac{1}{4} = x \\ 12.5 \div 0.25 = x \\ x = 50[/tex]
Max made 50 sandwiches
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The equations that are true for x = –2 and x = 2 are:
x^2-4=0 and 4x^2 = 16
How can the equation be known?We can determine the equations that are true for x = –2 and x = 2 by testing the given options:
After testing the options option 1 ; x^2-4=0 putting x = 2 or -2 into the equation will give zero.
(2^)2-4=0
(-2)^2-4=0
Then option 4: 4x^2 = 16
4(2)^2 = 16
4(-2)^2 = 16
Therefore, option 1st and 4th are correct.
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If a jacket is marked up 75% to be $350 and a month later is 20% off and then two weeks later is 30% off how much money did the company gain or lose
PLEEEEASE HELP!!!!!
280 AND 245 RS the company GAIN,20% OFF it is 280 rs and 30% off it is 245 rs
How to calculate discount price in rupees?For example, you may want to calculate the sale price of a shirt that regularly costs Rs 1,000. If the shirt is 20% off, you must convert 20% to a decimal (20/100 = 0.2). You have Rs 1,000 * 0.2 = Rs 200. You then subtract the discount from the original price as Rs 1,000 – Rs 200 = Rs 800.Discount is the difference between the marked price (list price) and the selling price of an article. Therefore, the formula used to calculate discount is: Discount = List price - selling price.For example, $100 invested today in a savings scheme that offers a 10% interest rate will grow to $110. In other words, $110, which is the future value (FV), when discounted by the rate of 10% is worth $100 (present value) as of todayTo learn more about discount price refers to:
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What is the quotient of the following division problem?
97 - 9 = ?
A. 12 r7
B. 9r7
C. 10 r8
D. 107
Answer:
D. 10r7
Explaination:
9 goes into 97 10 times, and has a remainder of 7
Polynomial in standard form
1.
7-3x^3+6x^2
2.
2y-3-8y^2
Answer:
[tex]-3x^3+6x^2+7[/tex][tex]-8y^2+2y-3[/tex]Step-by-step explanation:
The terms are ordered from greatest to least degree.
When you sign up for dance class you have a startup fee of $75 and then a monthly fee of $54.
The dance company uses the expression 75 + 54m to find out how much it will cost to attend classes.
How much would it cost to take classes for 10 month?
Work Shown:
75+54m
75+54*10
75+540
615
neeeeeeeeeeeeeedddddddddddddddddddd will give brain
Answer:
7
Step-by-step explanation:
11 times 7 =77
Write a system of equations for the word problem and then solve to find the answer.
At least week’s basketball game, Ben’s team scored 3 times as many points as Sam’s
team. Together, both teams scored 80 points in total. How many points did each team score?
Equation 1 __________
Equation 2 __________
Answer:
Sam's team scored 20 points. Ben's team scored 60 points
Step-by-step explanation:
b = 3s
s + b = 80
Substitute
s + 3s = 80
4s = 80
s = 20
I need help with problem eight.
Forty points for whoever answers this problem
Answer:
1
Step-by-step explanation:
1/1260 = 0.00079365079
0.00079365079 * 1260 = 1
-50 POINTS- only answer if you know. NOT (4,7) OR (5,2).
Answer:
(8, -2)
Step-by-step explanation:
Given:
[tex]\textsf{If P = (8, 2), Find $\sf R_{x-axis}(P)$}[/tex]
[tex]\sf R_{x-axis}(P)[/tex] means to reflect the given point P in the x-axis.
When a point is reflected in the x-axis, the x-value is unchanged, but the y-value becomes negative:
(x, y) → (x, -y)Therefore:
[tex]\sf R_{x-axis}(P)=(8,-2)[/tex]
what the answer to the math question?
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.
Entering GPA Current GPA
3.5 3.6
3.8 3.7
3.6 3.9
3.6 3.6
3.5 3.9
3.9 3.8
4.0 3.7
3.9 3.9
3.5 3.8
3.7 4.0
Answer: y=3.67+0.313x
Step-by-step explanation:
I just took the test. Good luck, future hustlers.
80/100 as a percentage
Answer:
80%.Step-by-step explanation:
Since,
Any number if divided by hundred then that no. is known as a percentage.
Here,
80 is divided by 100 i. e.
80 / 100
= 80% (Ans)
Answer:
[tex]80\%[/tex]Step-by-step explanation:
Write the problem as a mathematical expression.
[tex] \frac{80}{100} [/tex]Convert to decimal.
[tex]0.8[/tex]Multiply 0.8 by 100 to convert to a percentage.
[tex]0.8 \times 100[/tex] [tex]80\%[/tex]Hope it is helpful.....An investment of $2,500 compounded continuously at an annual interest rate of 2.5%.
The investment is kept in the account for 25 years.
Answer:
4,670.61 Dollars
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.5/100
r = 0.025 rate per year,
Then solve the equation for A
A = Pert
A = 2,500.00(2.71828)(0.025)(25)
A = $4,670.61
What are the mean absolute deviation and population standard deviation of this data set? Round to the nearest tenth if necessary. 2, 4, 6, 9, 14
Answer:
For a data set of N elements:
{x₁, x₂, ..., xₙ}
The mean is:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}[/tex]
And the population standard deviation is:
[tex]PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}[/tex]
In this case, our set has 5 elements, and the set is:
{2, 4, 6, 9, 14}
The mean of this set is:
[tex]M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7[/tex]
The mean absolute deviation is:
[tex]MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6[/tex]
And the population standard deviation is:
[tex]PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2[/tex]
Find the value of X. Round your answer to the nearest tenth.
Answer:
60°
Step-by-step explanation:
check the above attachment to verify the answer.
The following graph represents the function f(x). Sketch and label the following functions on the same coordinate plane
Answer:
It's in the attachment
hope it helps...
have a great day!!
If 1 summon cost 80 gold and each summon gives you 20 points how much points will 10 summons give you?
Answer:
200
Step-by-step explanation:
cause 10 x 20=200
Answer:
100
Step-by-step explanation:
The first part is useless, so let it go
The second is exactly what we need
1 : 20
10 : 200
Those are the ratios and the other answer explains it easily
In Exercises 10-11, find the range of the function.
10. k(x) = x² + 9
11. f(x) = (x + 5)² +3
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
What is function?Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.
Here,
The formula is presented as
k(x) = x² + 9
The aforementioned equation is linear.
the range is (-∝, ∝) and the domain is(-∝, ∝)
Formula 2
The formula is presented as
y = (x + 5)² +3
The aforementioned equation is linear.
The range is (-∝, ∝), and the domain is (-∝, ∝).
As a result, the answer to the given function question is that the domain and range are both(-∝, ∝) and that the domain is (-∝, ∝).and that the range is(-∝, ∝).
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Find the length of line segment x.
A)
4
B)
5
6
7
Answer:
x = 6
Step-by-step explanation:
4(x + 4) = 5(3 + 5) => Intersecting Secants Theorem
4(x + 4) = 5(8)
Open the bracket
4x + 16 = 40
Subtract 16 from each side
4x + 16 - 16 = 40 - 16
4x = 24
4x/4 = 24/4
x = 6
The length of the segment x is 6
The length of the segment x is calculated using the Intersecting Secants Theorem
This is represented as:
[tex]4(x + 4) = 5(3 + 5)[/tex]
Evaluate 3 + 5
[tex]4(x + 4) = 5(8)[/tex]
Open brackets
[tex]4x + 16 = 40[/tex]
Collect like terms
[tex]4x = 40 - 16[/tex]
Evaluate the like terms
[tex]4x = 24[/tex]
Divide both sides by 4
[tex]x = 6[/tex]
Hence, the length of the segment x is 6
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Use what you know about decomposing fractions to write 11/10 as a mixed number
Answer:
11/10 as a mixed number is 1 and 1/10
Step-by-step explanation:
10 out of 10 is 1 but there is still another tenth that needs to be added so it is 1 and one tenth.
solve this please! I'll say your answer is the brainliest..
Answer:
46.6666667 mi/hr
20.8618519 m/s
Answer:
other person is right
Step-by-step explanation:
the sum of two rational numbers is -2. if one of the numbers is -14/5 find the other number
The other number is 4/5
Step-by-step explanation:
let the number be x
if one of the numbers is -14/5
The sum of two rational numbers is -2.
Here, we get the equation
x + (-14/5) = -2
x - 14/5 = -2
x = 14/5 - 2
x = 14 - 2 × 5 ÷ 5
x = 14 - 10 ÷ 5
x = 4/5
Thus, The other number is 4/5
FOR VERIFICATION ONLY:x + (-14/5) = -2
4/5 + (-14/5) = -2
4/5 - 14/5 = -2
4 - 14/5 = -2
-10/5 = -2
-2 = -2
Hence, L.H.S = R.H.S
-TheUnknownScientist
Which statement about the values 0.034 and 3.40 are true
Answer:
See Explanation
Step-by-step explanation:
This question requires options.
Since none is provided, I will give a general solution.
We have: 0.034 and 3.40
Required
The relationship between them
3.40 can be expressed as:
[tex]3.40 \to 0.034 * 100[/tex]
This means that 3.40 is 100 of 0.034
Similarly, 0.034 can be expressed as:
[tex]0.034 \to 3.40 * \frac{1}{100}[/tex]
This means that 0.034 is 1/100 of 3.40
Adam, Linda and Rytis share an amount of money.
Linda gets three times as much money as Rytis gets.
Linda gets half as much money as Adam gets.
What fraction of the amount of money does Linda gets
please answer for this question
Answer:
Step-by-step explanation:
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How many total people responded to the survey? And can i get the numbers that are missing that’s supposed to be place in the missing spots
Answer:
56 42 98
3 7 10
59 49 108
Step-by-step explanation:
108 people responded to the survey
Find the greatest common factor of the
following monomials:
gh5
OOHO
Clear all
10g5h4
Enter the correct answer.
?
DONE
To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.
What is monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables. Let us consider an expression 6xy2. The variables, the coefficient, and the degree of this monomial are shown in the table given below. Observe the table to learn the various parts of the monomial 6xy2.In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials. In other words, each term in a polynomial is a monomial.To learn more about coefficients refer to:
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What is the y intercept of the graph of the equation y=3(2)^x
Answer:
y-int. is (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
What is the Slope of x-y=6?
help please!
write in terms of i
Answer:
2√10i
Step-by-step explanation:
√-40 = √40 × √-1
= √(4 × 10) × √-1
= √4 × √10 ×√-1
√-1 = i
√40 = 2√10i