Given a linear equation 8x - y = 1
\(\begin{gathered} y\text{ = mx + c} \\ 8x\text{ - y = 1} \\ 8x\text{ - 1 = y} \\ y\text{ = 8x - 1} \\ m\text{ = 8 , c = -1} \end{gathered}\)equation that represents a line which is parallel to the line 8x - y = 1
for Parallel equation m₁ = m₂ (same slope)
Option A is wrong the slope are not equal
Option B is wrong the slope are not equal
Option C is wrong the slope are not equal
Option D is correct since the slope are equal
Hence the equation 8x - y = 1 is parallel to y = 8x -3
When you need to convert from one system of measurement to another, you should convert to the a) system that will have the highest number. b) system that will have the smallest number. c) system used on the medication label. d) metric system.
Given a data set of all positive values, if the largest value of a data set is doubled, which of the following is not true?
a) The mean increases.
b) The range increases.
c) The interquartile range increases.
d) The standard deviation increases.
When the largest value of a data set is doubled, c) The interquartile range increases.
What is the interquartile range?The average of the numbers is the mean. Calculating is simple: add up all the numbers, then divide by the total number of numbers. When the sample maximum and minimum are subtracted, the range of a set of data is the difference between the largest and smallest values. It uses the same units as the data to express itself.
A high standard deviation in a normal distribution denotes that values are typically far from the mean, while a low standard deviation denotes that values are grouped closely around the mean.
The difference between the third and the first quartile is defined by the interquartile range. The partitioned values known as quartiles divide the entire series into four equally sized segments. There are thus three quartiles.
Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR). Quartile 1 (Q1) and Quartile 3 are these values (Q3). The IQR represents the variation between Q3 and Q1.
In this case, there'll be an increase in the IQR. Therefore, the correct option is C.
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STONE COAST ACADEMY
22) A broker bought stock at $21.45 per share and sold it the following month for $26.40 per share. What was his gross profit (before
commissions and taxes) on 120 shares sold?
A. $610
B. $580
C. $594
D $601
hurry plz in exam
Х
x
Josh buys 6 pencils at the bookstore. Each pencil costs $0.20. How can Josh use the number
line to find the total cost of the pencils?
1
1.2 1.4
1.6 1.8
2
2.2 2.4
++++
0 0.2 0.4 0.6 0.8
Drag the numbers or costs into the boxes below to explain your answer. Numbers may be used once or
not at all.
$1.20
0.6
6
1.2
09
0.2
$6.00
0
$1.00
1
parts that are each
The
Start at
product
on the number line. Mark
represents the total cost, which is
Answer:30
Step-by-step explanation:
Tyler needs to complete this table for his consumer science class. He knows that 1 tablespoon contains 3 teaspoons and that 1 cup contains 16 tablespoons. What belongs in cell A?
Answer: 96 teaspoons
Step-by-step explanation:
If 1 cup contains 16 tablespoons the 2 cups will contain;
= 16 * 2
= 32 tablespoons
If 1 tablespoon contains 3 teaspoons then 32 tablespoons will contain;
= 32 * 3
= 96 teaspoons
Mr. Johnson receives 160 emails in four hours. At this rate, how many emails will he receive in six hours?
Greetings! Hope this helps!
Answer
240 emails in 6 hours
Explanation
160/4 = 40 emails per hour
40 x 6 = 240 emails in 6 hours
Have a good day!
_______________
A brainliest would help tons! :D
Find cos ø.
(Give your answer in lowest terms)
The value of cos ø, for the given coordinates (8, 6), is 4/5 in the lowest terms.
To find the value of cosine (cos) ø, we need the coordinates (8, 6) of a point on the unit circle.
The unit circle is a circle with a radius of 1, and the coordinates (8, 6) do not lie on the unit circle. However, we can use these coordinates to calculate the cosine value indirectly.
First, we need to find the hypotenuse (r) of the right triangle formed by the coordinates (8, 6). We can use the Pythagorean theorem:
r = √(8² + 6²) = √(64 + 36) = √100 = 10
Now, we can find the cosine value by dividing the adjacent side length (x-coordinate) by the hypotenuse:
cos ø = 8 / 10 = 4/5.
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y =
Volume of Oxygen (liters)
+
10
M(0, 1)
Point M is a minimum value of the function. What is the equation of a cosine function, using radians, that gives the
volume as a function of time?
Enter your numbers in the boxes to complete the equation.
ANSWER FAST PLEASEEE
Y = 5 cos(0.3185x) + 10 is the volume of oxygen as a function of time can be modeled by this cosine function.
What is cosine function ?
The cosine function is a mathematical function that relates the ratio of the sides of a right triangle. In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse. In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. The cosine function is periodic, meaning it repeats itself at regular intervals, and has a range of values between -1 and 1. It is commonly used in mathematics, physics, and engineering to model periodic phenomena such as sound waves, electromagnetic waves, and oscillations.
According to the question:
To find the equation of the cosine function, we need to identify the amplitude, period, phase shift, and vertical shift of the function based on the given information.
Since point M is the minimum value of the function, the vertical shift is 10. This means that the equation of the function is of the form:
Y = A cos(Bx - C) + D
where D = 10.
To find the amplitude, we need to find the distance between the maximum and minimum values of the function. Since the graph of a cosine function oscillates between its maximum and minimum values, the amplitude is half the distance between these values.
From the graph, we can see that the maximum value of the function is 20, so the distance between the maximum and minimum values is:
20 - M = 20 - 10 = 10
Therefore, the amplitude is:
A = 10/2 = 5
To find the period, we need to find the distance between two consecutive peaks or troughs of the function. From the graph, we can see that the distance between two consecutive peaks is approximately 6.28 units. This means that the period is:
P = 6.28
To find the phase shift, we need to find the horizontal shift of the function from its standard form. Since the minimum value of the function occurs at x = 0, the phase shift is:
C =
Therefore, the equation of the cosine function is:
Y = 5 cos((2π/P)x - C) + D
Y = 5 cos((2π/6.28)x) + 10
Simplifying,
Y = 5 cos(0.3185x) + 10
So, the volume of oxygen as a function of time can be modeled by this cosine function.
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1. UV = 8 and WX = 5
TU=
WU=
TX=
TV=
All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.
Solve for x.
(17x - 23)
(&r - 4)*
-(3x + 17)
Answer:
17rx2−23rx−71x+75
Step-by-step explanation:
(17x−23)(xr−4)−(3x+17)
=(17x−23)(xr−4)+−1(3x+17)
=(17x−23)(xr−4)+−1(3x)+(−1)(17)
=(17x−23)(xr−4)+−3x+−17
=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=17rx2+−68x+−23rx+92+−3x+−17
=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)
=17rx2+−23rx+−71x+75
What does "a' control in a graph of * f(x) = ax + bx+ c?
Answer:
the stretch or compression of a quadratic, and if it's opening up to down.
Step-by-step explanation:
Deon bought a desk on sale for $105.60. This price is 67% less than the original price. What was the original price?
Answer:
.33x = 105.60
$371
Step-by-step explanation:
Answer:
63.44
Step-by-step explanation:
its 63.44697 but you round so its 63.44
In an algebraic expression, the quantities being multiplied are called factors.
We can be performed Multiplication on algebraic expressions in the same way as it can be performed on two whole numbers or fractions.
Multiplication of algebraic expressions or variable expressions involves multiplying two expressions combined with various arithmetic operations like addition, subtraction, multiplication, and division and contains constants, variables, terms, and coefficients.
Multiplying the algebraic equation involves the following steps.
1. Multiply the coefficients of the terms, add the powers of the variables with the same base, and obtain the algebraic sum of the like and unlike terms before learning about the multiplication of algebraic expression.
The multiplication of two terms with the same signs is positive, and two terms with different signs are negative.
Example:
−a×−b=ab
a×−b=−ab
We can add the exponents of the same bases in case of multiplication as a^m×a^n=a^m+n
Example:
a^2×a^3=a^2+3=a^5
b^5×b^8=b^5+8=b^13
Algebraic Expression: An algebraic expression is the collection of the constants and the variables connected by fundamental operators like addition (+), subtraction (−), etc.
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Jack drove 300 miles using 8 gallons of gas. At this rate, how many gallons of gas would he need to drive 500 miles?
Answer: 13.3333333333333333333333334
Step-by-step explanation:
8/300 x 500
is this a equation or expression 4r+3=12
Answer:
Equation
Step-by-step explanation:
Because there is only one unknown term in it
I hope it helps
Thank U
helppp me its need to be done quick
Answer:
100
Step-by-step explanation:
The number has the same digit in its hundreds place and its hundredths place. The digit in the hundreds place is 100 times greater than the digit in the hundredths place (https://ccssmathanswers.com/hundredth-place-in-decimals). Therefore, the value of the digit in the hundreds place is 100 times greater than the value of the digit in the hundredths place.
Therefore, the answer is 100.
each marble bag sold by susan marble company contains 6 blue marbles for every green marbles . if a bag has 25 green marbles , how many blue marbles does it contains?
Answer:
150 blue marbles
Step-by-step explanation:
1 green = 6 blue
25 green = x blue
- 6 x 25 = 150
Solve the given equation for v.
Answer:(3t)^2
Step-by-step explanation:
Steps below
Solve equation by using the quadratic formula. 15x² + 31x = -10
Please help ASAP!
(Picture attached)
Answer:
\( \frac{14}{45} \)option D is the right option.
Solution,
1 liquid pint=0.5 liquid quart
( 2 pints=1 quart)
Since,
2 pints=1 quart them,
14 pints=7 quarts
Ratio is 14 pints(7 quarts) to 45 pints.
Thus the fraction is:
\( \frac{14}{45} \)
hope this helps...
Good luck on your assignment..
The bedroom of our house is 1,200 cubic meters. We know that there are 3.4×10^9
particles of dust per cubic meter. Write how many particles of dust are present in the bedroom of our house.
Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 12% for 6 months. Calculate the simple interest using I = prt. $69 $90 $420 $1,080
The simple interest that Oliver needs to pay is $ 90
Calculating Simple interest:Simple interest is nothing but interest on a loan at a rate. The formula for Simple interest is given below
Simple interest, I = ptr
where p = principal amount
t = time period in years
r = rate of interest in decimals
Here we have
Oliver borrowed $1,500 to purchase a riding lawn mower
The rate of interest r = 12%
=> 12/100 = 0.12 (in decimals )
The time period given = 6 months = 0.5 years [ 6/12 = 0.5 ]
From the above formula,
The simple interest, I = ptr
=> I = $1,500(0.12) (0.5) = $ 90
Therefore,
The simple interest that Oliver needs to pay is $ 90
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PLEASE HELP, FOR REAL THO
I have a page of math questions I seriously need done, please help. It's on my profile. I'll give you 23 points, that's literally all I've got, and give you brainliest if I can. Please help.
Answer: ok il try maybe
Step-by-step explanation:
Answer:
nosee d que pagina ehbalsa
Step-by-step explanation:
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two
other equivalent forms. Explain how each form was created. (10 points)
Polynomial: 6x^3 + 12x^2 - 18x
Form 1: 6(x^3 + 2x^2 - 3x)
Explanation: This form was created by factoring out the GCF of 6 from each term in the polynomial.
Form 2: 6x(x^2 + 2x - 3)
Explanation: This form was created by factoring out the GCF of 6x from each term in the polynomial.
In both forms, the GCF of 6 allows us to factor out common factors and simplify the polynomial expression while preserving its original meaning.
To create a factorable polynomial with a greatest common factor (GCF) of 6, we can start by considering the common factors of the terms. Let's construct a polynomial:
Polynomial: 6x^3 + 12x^2 - 18x
To rewrite this polynomial in two other equivalent forms, we can factor out the GCF from each term and simplify.
Form 1: 6(x^3 + 2x^2 - 3x)
In this form, we factored out the GCF of 6 from each term: 6x^3/6 = x^3, 12x^2/6 = 2x^2, and -18x/6 = -3x.
Form 2: 6x(x^2 + 2x - 3)
In this form, we factored out the GCF of 6x from each term: 6x^3/6x = x^2, 12x^2/6x = 2x, and -18x/6x = -3.
We created each form by identifying the common factors in the polynomial and factoring them out. This process allows us to rewrite the polynomial in equivalent forms that emphasize different aspects.
In Form 1, we factored out the GCF of 6, leaving the remaining polynomial inside the parentheses. This form highlights the fact that the polynomial can be written as the product of the GCF and the remaining terms.
In Form 2, we factored out the GCF of 6x, again leaving the remaining polynomial inside the parentheses. This form emphasizes the fact that the polynomial can be written as the product of the GCF and another factor, in this case, x.
By rewriting the polynomial in these two forms, we have created equivalent expressions that emphasize the presence of the GCF and demonstrate the polynomial's factorability.
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Consider the inequity
Answer:
What inequality??
Step-by-step explanation:
Answer:
where?
Step-by-step explanation:
please help me????????
Answer:
2. 5x+8
3.5a+2b+2-b
4.15+10y
5.8+9x+5y
6. 9+w(to the fourth power)
7. i cant figure out how to do the last
I’ve been struggling on this question please help ASAP <333
3 3/4 divided by 5/7
The answer is in the image below and the steps are also in one of the images too.
Hope this helps! :)
Let p and q represent the following simple statements:
symbolic representation is .........p v q read as p conjunction q .
Plz mark me brainest .
find the solution set of the inequality
\(x - \frac{4}{5} \leqslant \frac{1}{5} \)
if the domain is the set {2,1,0,1,2}
Step-by-step explanation:
\( = > x - \frac{4}{5} \leqslant \frac{1}{5} \)
\( = > x \leqslant \frac{1}{5} + \frac{4}{5} \)
\( = > x \leqslant 1\)
=> Solution in the set {-2,-1,0,1,2} is {-2,-1,0,1}
Hope you've understood the solution.