Answer
Option C is correct.
8.0 × 10³ miles = 8 thousand miles.
Explanation
The number given in scientific notation is
8.0 × 10³ miles
= 8.0 × 1000 miles
= 8000 miles
= 8 thousand miles.
Hope this Helps!!!
Describe the error in finding the distance between A(6, 2) and B(1,-4). X AB = V(6-2)2 +[1-(-4)] = 142 +52 = V 16 + 25 = 141
The distance between two points can be calculated using the formula;
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]For points;
[tex]A(x_1,y_1)\text{ and B}(x_2,y_2)[/tex]Given the points;
[tex]\begin{gathered} A\left(6,2\right)and \\ B\left(1,-4\right) \end{gathered}[/tex]The distance between the two points can be calculated using the above formula;
[tex]\begin{gathered} AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \\ AB=\sqrt{(-4-2)^2+(1-6)^2} \\ AB=\sqrt{(-6)^2+(-5)^2} \\ AB=\sqrt{36+25} \\ AB=\sqrt{61} \end{gathered}[/tex]The distance between the two points is;
[tex]AB=\sqrt{61}=7.81[/tex]A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $9.75, and tickets cost $13.75 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
group of friends have $150 to spend on the amusement park admission and parking.
150 - 13.50 = 136.50
136.50 / 22.75 = 6
x = 6
13.50 + 22.75x = 150
13.50 + 22.75(6) = 150
22.75 * 6 = 136.50
136.50 + 13.50 = 150
HELP
A toy rocket is launched from a 2.1 m high platform in such a way that its height, h (in meters), after t seconds is given by the
equation h = -4.9t² + 14.0t+2.1. How long will it take for the rocket to hit the ground?
Answer:
3 seconds
Step-by-step explanation:
The height of the rocket when it hits the ground will be zero meters.
Therefore, set the equation to zero and solve for t by using the quadratic formula.
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Given equation:
[tex]-4.9t^2+14t+2.1=0[/tex]
Therefore:
[tex]a=-4.9, \quad b=14, \quad c=2.1[/tex]
Substitute the values into the quadratic formula:
[tex]\implies t=\dfrac{-14 \pm \sqrt{14^2-4(-4.9)(2.1)}}{2(-4.9)}[/tex]
[tex]\implies t=\dfrac{-14 \pm \sqrt{196+41.16}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-14 \pm \sqrt{237.16}}{-9.8}[/tex]
[tex]\implies t=\dfrac{-14 \pm15.4}{-9.8}[/tex]
Therefore:
[tex]\implies t=\dfrac{-14 +15.4}{-9.8}=\dfrac{1.4}{-9.8}=-\dfrac{1}{7}[/tex]
[tex]\implies t=\dfrac{-14-15.4}{-9.8}=\dfrac{-29.4}{-9.8}=3[/tex]
As time is positive, t = 3 s only.
Therefore, it will take 3 seconds for the rocket to hit the ground.
-3p-4<6 help me please never done these before and teacher isn’t at school to ask!!!
Answer:
p>-1/3
Step-by-step explanation:
-3p-4<6
+4 +4
-------------
-3p<10
Divide -3 on both sides and you get something like p>-1/3 because you have to flip the sign.
5. Ramya exercises every 8 days and Deepika every 4 days • Ram and Deepike exerised today. After how many days they exercise together again?
Using LCM, Ramya and Deepika will exercise together after 8 days.
How do I figure out LCM?Step 1: Use the repeated division method to identify the prime factors of the supplied numbers.
Write the numbers in exponent form in step two. Only those prime factors' product with the highest power should be sought.
Step 3: The LCM of the provided numbers is the product of these factors with the highest powers.
Factors of 8 = 2 × 2 × 2
Factors of 4 = 2 × 2
LCM of 8 and 4 = 8
∴ Ramya and Deepika will exercise together after 8 days.
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Correct Question -
Ramya exercises every 8 days and Deepika every 4 days • Ramya and Deepika exerised today. After how many days they exercise together again?
shirley earns £52 for an 8 hour shift at a call centre. In one week, shirley works fifty hours at the call centre. How much does shirley earn during this week
The amount she earned this week is £325
How to find the amount Shirley earn?Shirley earns £52 for an 8 hour shift at a call centre.
Therefore,
8 hours = £52
1 hour = ?
cross multiply
1 hour earning = 52 / 8
1 hour earning = £6.5
Therefore, In one week, Shirley works fifty hours at the call centre. The amount she earns during the week is as follows:
Hence,
amount she earns this week = 6.5 × 50
amount she earns this week = £325
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Which graph represents the system of inequalities? {y+3/4x<2 {y−1≥2x
The graph of the inequality is attached below to represent the solution.
Graph of InequalityTo solve this problem, we can simply plot the graph of the inequality using a graphing calculator. To do this, we can simply input the value of both inequalities and then plot the values.
In the graph below, the the red broken line represents the first equation which is "<" or less than and the second equation which is the straight blue line which represents the ">" or greater than sign.
Kindly find the attached image below.
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a set of license plates has three letters followed by 5 digits. (a) in how many ways can a license plate be made with three letters followed by 5 digits? (letters or digits may be repeated.)
The license plate can be made in 1,757,600,000 ways
For the license plate, we need 3 letters out of 26 letters of the English alphabet and 5 digits out of 0-9
For the alphabet:
So, the first letter can be chosen in 26 ways
The second letter can be chosen in 26 ways
The third letter can be chosen in 26 ways
For the digits:
The first number can be chosen in 10 ways
The second number can be chosen in 10 ways
Similarly, the remaining three numbers can be chosen in 10 ways each
So, total ways = 26*26*26*10*10*10*10*10 = 1,757,600,000
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Write an inequality statement comparing m and n. Using complete sentences, explain how you know that your inequality is true.
The inequality statement comparing m and n is m > n.
The inequality is true because m is further along the number line than n
What is an inequality?It should be noted that an inequality is simply used to express the information given hat aren't equal.
Based on the number line that's drawn we came we that is close to 3 and n is close to 1.
Therefore, this shows that m is greater than n.
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Please answer number 8.
Answer:
Step 2
Step-by-step explanation:
In basic algebra, if one side is positive then you must subtract on both sides, and if one side is negative then you must add on both sides to isolate the x variable.
A quadratic function passes through the points (−3, 20), (0,−1), and (2, 15).
What is the equation of the function in standard form?
A) f(x)=3x^2−x−2
B) f(x)=3x^2−x+2
C) f(x)=3x^2+2x−1
D) f(x)=3x^2−2x−1
The quadratic equation in standard form is y = 3 · x² + 2 · x - 1. (Correct choice: C)
How to derive the quadratic equation associated with a set of three points
In accordance with the fundamental theorem of algebra, a quadratic function can be found by knowing three distinct points. Quadratic functions are polynomials of the form, known as standard form:
y = a · x² + b · x + c
Where a, b, c are real coefficients.
If we know that (x₁, y₁) = (- 3, 20), (x₂, y₂) = (0, - 1) and (x₃, y₃) = (2, 15), then the coefficients of the polynomial are found by numerical methods:
9 · a - 3 · b + c = 20
c = - 1
4 · a + 2 · b + c = 15
The solution to the system of linear equations is (a, b, c) = (3, 2, - 1). The equation is y = 3 · x² + 2 · x - 1.
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tell if the lines are parallel, perpendicular or neither
a- 3x–4y =6 and 3y= –4x+9
b- y= 1⁄2x–7 and 6x–12y = 24
A. The lines with equation 3x - 4y = 6 and 3y = -4x + 9 are perpendicular
B. The lines with equation y = 1⁄2x - 7 and 6x - 12y = 24 are parallel
How do I determine if the lines are parallel or perpendicular?From the equation of lines, we can detect if they are parallel or perpendicular as follow:
Parallel lines have the same slope (or gradient). Thus, m₁ = m₂Perpendicular lines have slope that have the following property: m₁ × m₂= -1With the above information, we can obatin the answer to the questions. Details below
For question A.
We shall determine the slope of each line. This can be obtained as follow:
3x - 4y = 6
Rearrange
4y = 3x - 6
y = 3/4x - 6/4
Comparing y = 3/4x - 6/4 with y = mx + c, the slope is 3/4
3y = -4x + 9
y = -4/3x + 9/3
Comparing y = -4/3x + 9/3 with y = mx + c, the slope is -4/3
Slope (m₁) of 3x - 4y = 6 is 3/4Slope (m₂) of 3y = -4x + 9 is -4/3m₁ × m₂
3/4 × -4/3 = -1
Thus, we can say: 3x - 4y = 6 and 3y = -4x + 9 are perpendicular
For question B.
We shall determine the slope of each line. This can be obtained as follow:
y = 1/2x - 7
Comparing y = 1/2x - 7 with y = mx + c, the slope is 1/2
6x - 12y = 24
Rearrange
12y = 6x - 24
y = 6/12x - 24/2
y = 1/2x - 12
Comparing y = 1/2x - 12 with y = mx + c, the slope is 1/2
Slope (m₁) of y = 1/2x - 7 is 1/2Slope (m₂) of 6x - 12y = 24 is 1/2m₁ = m₂
Thus, we can say: y = 1/2x - 7 and 6x - 12y = 24 are parallel
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8 is 20% of what number?
Answer: 40
Step-by-step explanation:
Lauren Rodriquez earns 8.35 per hour as a swimming instuctor . How many hours per week must she work if she wants to earn approximately 190.00 per week
A unit rate is the amount of a quantity at the rate of one.
The number of hours per week to earn approximately 190 is
22 hours 45 minutes
What is a unit rate?A unit rate is the amount of a quantity at the rate of one.
It is written as a ratio with a denominator of one.
Example:
If 3 miles in 3 minutes then 1 mile in 1 minute.
We have,
The amount earned per hour = 8.35
This can be written as:
1 hour = 8.35
Multiply 190/8.35 on both sides.
190/8.35 x 1 hour = 190/8.35 x 8.35
22.75 hours = 190 ____(1)
1 hour = 60 minutes
0.75 hour = 45 minutes
From (1) we get,
22 hours 45 minutes = 190
Thus,
The number of hours per week to earn approximately 190 is
22 hours 45 minutes.
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What is the point of (7.0) after translation right 2 units and up 1 unit?
Answer:
(9, 1 )
Step-by-step explanation:
a translation 2 units right means add 2 to the x- coordinate
a translation of 1 unit up means add 1 to the y- coordinate.
(7, 0 ) → (7 + 2, 0 + 1 ) → (9, 1 )
Distance between (4,5) and (-1,3)
Answer:
[tex]D=\sqrt{29}[/tex]
Step-by-step explanation:
To solve the inequality StartFraction m over negative 7 EndFraction less-than-or-equal-to 14, what should be done to both sides? I NEED TO GET THIS DONE NOW HELP IM SO CONFUSED
To solve the inequality given by -n/7 ≤ 14 , -7 should be multiplied to both sides of the inequality .
Any monotonically rising function can, by definition, be applied to both sides of an inequality without changing their connection to one another (provided that both expressions are in the domain of that function).
If a monotonically falling function were applied to both sides of an inequality, the inequality relation would be reversed.The rules for the additive inverse and the multiplicative inverse for positive numbers serve as illustrations of the use of a monotonically declining function.If the function is strictly monotonic and the inequality is strict (a b, a > b), the inequality remains strict.If only one of these conditions is fulfilled, the resulting inequality is not strict. The conditions for both additive and multiplicative inverses really serve as a demonstration that a strictly monotonically dropping function is being applied.The inequality is -n/7 = 14
or, -n ≤ 14 × 7
or, -n ≤ 98
or, n ≥ -98
Therefore the first step is solve the inequality is to multiply both sides by 7.
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Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.
The equivalent expression is (-2)^2. Option D
What are index forms?Index forms are simply defined as mathematical expressions with a number or element raised to a variable or number.
Example for index forms are;
2^7
5^2
6^x
2^y
What are equivalent expressions?Equivalent expressions are defined as algebraic expressions that are equal to each other but have different arrangement of its values or elements.
From the information given, we have that;
negative two raised to the fourth power = (-2)^4negative two raised to the second power = (-2)^2Now, substitute the values, we have;
(-2)^4/(-2)^2
Take inverse of the power
(-2)^4 - 2
Subtract the values
(-2)^2
Hence, the expression is (-2)^2
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The complete question:
Choose an expression that is equivalent to negative two raised to the fourth power divided by negative two raised to the second power.
a. 6
b. (-2)^4
c. 8
d. (-2)^2
Answer:
d
Step-by-step explanation:
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]
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Need help pls y’all will help me
The correct description regarding each table is given as follows:
1. Rate of change of 4, linear.
2. Rate of change of -2/3, linear.
3. Rate of change of 1/4, linear.
4. Rate of change of -1, linear.
5. Not linear.
6. Rate of change of 3, linear.
Linear functionsA linear function has the definition presented as follows:
y = mx + b.
In which:
m is the slope, which is the constant rate of change.b is the y-intercept.A data-set will only be classified as linear if the rate of change is constant.
Hence the tables in this problem are classified as follows:
Table 1: Linear, as for each two points, the change in the output y divided by the input x has a result of 4, which is the rate of change.Table 2: Linear, as for each increase of 3 in x, there is a decay of 2 in y, hence the rate of change is of -2/3.Table 3: Linear, as for each increase of 4 in x, there is a increase of 1 in x, hence the rate of change is of 1/4.Table 4: Linear, as for each increase of 1 in x, there is a decay of 1 in y, hence the rate of change is of -1.Table 5: Not Linear, as from x = 1 to x = 2 an increase of 1 in x resulted in a an increase of 2 in y, while from x = 2 to x = 3 an increase of 1 in x resulted in a an increase of 4 in y.Table 6: Linear, as an increase of 2 in x results in an increase of 6 in y, hence the rate of change is of 6/2 = 3.Learn more about linear functions at https://brainly.com/question/24808124
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Jon buys 3 shirts for $20.
Answer: I think the answer is 6.70$ or 6.66666667
Step-by-step explanation:6.70 x 3 = 20.1
But You Multiply 6.66666667 x 3 = 20
What is the solution to -(5m+11) = 3 (m - 41)
Answer:
m = 14
Step-by-step explanation:
-(5m+11) = 3 (m - 41)
-5m -11 = 3m - 123
-5m -3m = -123+11
-8m = -112
m = -112/-8
m = 14
is 12.6 repeating a fraction
Answer: You Welcome
Step-by-step explanation:
12.6 Repeating Decimal = 12 2/3 as a Fraction
Answer:
no, it not
Step-by-step explanation:
It's not a repeating decimal because
A fraction is a repeating decimal if the prime factors of the denominator of the fraction in its lowest form do not only contain 2s and/or 5s or do not have any prime factors at all. This is not the case here, which means that our answer is as follows:
12/6
= no.-repeating
A boy scout has 3 meters of rope. He cuts rope into cords ⅗ meters long. How many cords will he make?
Number line please.
Answer:
5
Step-by-step explanation:
If he wants to cut it into 3/5 meters long then each rope is 0.6 meters long.
3/0.6 = 5
Khadija is trying to pick out an outfit for the first day of school. she can choose from 2 pairs of pants, 2 t-shirts, and 6 pairs of shoes. how many different outfits does khadija have to choose from?
Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:
N= n1*n2*n3.....nn
In this problem:
For the pants, there are 2 options, hence n1=2 .
For the t-shirts, there are 2 outcomes, hence n2=2.
For the shoes, there are 9 outcomes, hence n3=6.
Thus, the total number of outfits is given by:
N = 2 x 2 x 6 = 24.
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Anupa's favorite fraction is equal to $\frac{5}{3}$. The sum of the numerator and denominator of Anupa's favorite fraction is $160$. What is the difference between the numerator and denominator of Anupa's favorite fraction?
The difference between the numerator and denominator of the fraction parameters is 40
How to determine the difference between the fraction parameters?From the question, the fraction is given as
5/3
The above fraction can be represented as
5x/3x
This is so because of the following equation
5x/3x = 5/3
The above is calculated by dividing the numerator and the denominator by the common factor x
Solving further, we have
Sum of the numerator and denominator = 160
This means that
5x + 3x = 160
Evaluate the sum in the above equation
So, we have
8x = 160
Divide both sides of the fraction by 8
So, we have
x = 20
The required difference is represented as
Difference = 5x - 3x
Evaluate
Difference = 2x
Substitute x = 20 in Difference = 2x
So, we have
Difference = 2 x 20
Evaluate
Difference = 40
Hence, the difference between the fraction parameters is 40
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Write a verbal expression of x+y
If you explain and I’ll give you brainiest if not but the correct answer I’ll accept that also just NO nonsense answers!!!
Answer:
1: missing: x values are 4 and 2. missing y values are 20.
2: missing: x values are 12. missing y values are 5 and 3.
3: missing x value is 18. missing y value is 2 and 5.
4: missing x values are, 5, 8, and 12
fill in answers are going from in order left to right
^3√-1
0-1
O undefined
01
O-3
The answer of the given question of radicals is -1.
What is radicals?
A surd or radical is an unresolved root, particularly one that employs the radical symbol. A radical expression is any expression that contains a radical, whether it is a square root, a cube root, or a higher root, while an algebraic expression is any statement that does not contain any transcendental functions or transcendental numbers. The root test is used to determine the radius of convergence of a power series. The nth roots of 1 are known as roots of unity, and they play an important role in many areas of mathematics, including number theory, equation theory, and the Fourier transform.
Given, ∛-1
if we evaluate this radical then,
∛-1 = -1
because 1 perfect cube.
Hence, the answer is option(a) i.e, -1
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how do i solve this? |34a−3|=9