Consider the line y = 7x-1.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Hi, there!
______
\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)
How are the slopes of parallel lines related to each other?How are the slopes of perpendicular lines related to each other?(1)
- The slopes of parallel lines are identical.
{The line \(\sf{y=7x-1}\) has a slope of 7}
Thus,
{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}
(2)
- The slopes of perpendicular lines are negative inverses of each other.
The negative inverse of 7 is
\(-\dfrac{1}{7}\).
Therefore,
\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)
Hope the answer - and explanation - made sense,
happy studying!! \(\tiny\boldsymbol{Frozen \ melody}\)
Brain Builders
Trail
A
00
с
D
Processes
9. & Practices Model Math The
table shows the lengths of four trails
at a horseback riding camp. The
estimated length of all four trails is
12 miles. Find a possible length for
trail D. Show your work.
Length (mi)
2.6
1.8
4.2
Cookies are sold in singly or in packages of 6 or 18. With this packaging how many ways can you buy 36 cookies?
The ways to pack are
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesThis is further explained below.
What is packaging ?Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.
In conclusion,
10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singlesRead more about packaging
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Plsss help me thanks whoever answers this Thank you
Which number sentence can be used to find the difference between five times three and two times six?
x= 5x3-2x6
x = 5x2+3x6
x = 5(3+2x6)
x = 5x3+2x6
Which number sentence can be used to find the difference between five times three and two times six?
x= 5x3-2x6
x = 5x2+3x6
x = 5(3+2x6)
x = 5x3+2x6
Between 9:00 am and 4:00 pm the temperature rose from 68° to 85°. What was the percent increase in temperature between 9:00 am and 4:00 pm?
Given the tables below, determine which ones represent exponential decay
Exponential decay models apply to any situation where the decay (decrease) is proportional to the actual size of the amount of interest.
Within the 4 options, two of them have a behavior like this
Options "b" and "d" have growth so they do not meet the conditions of the question.
In conclusion, the answer are "a" and "c" options
HELPPP FOR 100 points plsss
Answer:
a. YES
b. YES
c. NO
d. YES
Step-by-step explanation:
\(\frac{7^6}{7^3}\) simplifies to \(7^3\)
a:
Let's simplify this:
(\(7^9\))(\(\frac{1}{7^6}\))
Now:
\(\frac{7^9}{7^6}\)
Which equals:
\(7^3\)
So, YES
b:
Simplify this one:
\(\frac{1}{7^8} / \frac{1}{7^1^1}\)
Or:
\((\frac{1}{7^8})(7^1^1)\)
Which simplifies to:
\(7^3\)
So, YES
c:
Simplifies to:
\(\frac{7^8}{7^4}\)
Which equals:
\(7^4\)
So, NO
d:
This simplifies to:
\(\frac{1}{7^3} * 7^6\\\\ \frac{7^6}{7^3} \\\\7^3\)
So, YES
Write a explicit formula for the given recursive formulas for each arithmetic sequence
9,15,21,27 and 7,0,-7,-14
In arithmetic progression, 9,15,21,27,33,39 is a₅ and a₆ .
What is arithmetic progression?
A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. It also goes by the name Arithmetic Sequence.a₁ = 9
a₂ = 15
a₃ = 21
Notice that a₂ - a₁ = 6 and a₃ - a₂ = 6
We can deduce that aₙ₊₁ = aₙ + 6
We can test this on the 4th term : a₄ should equal 21 + 6 = 27
Since this checks out we can say that the sequence is an arithmetic progression with a common difference of 6.
a₅ = 27 + 5 = 33
and
a₆ = 33 + 6 = 39
7,0,-7,-14
find the common difference by substracting any term in the sequence from the term that comes after it.
a₂ - a₁ = 0 - 7 = -7
a₃ - a₂ = -7 - 0 = -7
a₄ - a₃ = -14 - -7 = -7
the difference of the sequence is constant and equals the difference between two consecutive terms.
d = -7
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Write 250 beads in total on 8 necklaces as an algebraic expression.
The algebraic expression that represents the number of beads per necklace is given as follows:
250/8.
How to write the algebraic expression?The algebraic expression representing the number of beads per necklace is obtained applying the proportion in the context of the problem.
The proportion is given by the division of the total number of beads by the total number of necklaces, as follows:
Beads per necklace = Number of beads / Number of necklaces.
The parameters for this problem are given as follows:
Number of beads: 250.Number of necklaces: 8.Hence the algebraic expression that represents the number of beads per necklace is given as follows:
250/8.
(dividing the number of beads by the number of necklaces given in this problem).
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Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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Jose bought six boxes of cereal and 3 pounds of apples at the local
market.
Each box of cereal cost $2.37
One pound of apples cost $4.10
How much money did Jose spend at the market?
Answer: $26.52
Step-by-step explanation:
1 Box of cereal is $2.37 so 6 boxes is equal to 6 * $2.37 = $14.22
1 Pound of apples is $4.10 so 3 pounds is equal to 3 * $4.10 = $12.30
Total = $14.22 + $12.30 = $26.52
Assume that adults have IQ scores that are normally distributed with a mean of μ=105 and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ between 93 and 117.
The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
What is probability?
Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.
To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.
The z-score formula is:
z = (x - μ) / σ
where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
For the lower bound of 93, the z-score is:
z = (93 - 105) / 20 = -0.6
For the upper bound of 117, the z-score is:
z = (117 - 105) / 20 = 0.6
Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:
normalcdf(-0.6, 0.6, 0, 1)
This gives us a probability of 0.6827.
Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.
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5. Which sentence is not true?
A.1/5>1/8
B.1/3>1/6
C.1/7<1/2
D.1/4<1/9
Answer:
D is not the correct sentence
Step-by-step explanation:
1/4 is closer to 1 than 1/9 is.
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population
According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.
To find the wide variety of girl population, we will subtract the quantity of male population from the full population.
Total population = 88,51,84,692
Number of male = 45,40,34,570
Number of female = Total population - Number of male
= 88,51,84,692 - 45,40,34,570
= 43,11,50,122
Therefore, the number of female population is 43,11,50,122.
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P is the midpoint of NO and equidistant from MN and MO. If M=8i+3j and no = 4i-5j Find MP
The position vector of point P, MP, is given by MP = 6i - j.
To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.
The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:
Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Let's find the position vector of point P using the given information:
Point N: N = 4i - 5j
Point O: O = 8i + 3j
Using the midpoint formula, we can find the coordinates of point P:
x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i
y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j
Therefore, the position vector of point P, MP, is given by:
MP = 6i - j
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answer and ill give brainliest
Answer:
1/25 or 2/5 i guess
Step-by-step explanation:
Answer:
A) 3/100
Step-by-step explanation:
3/10x1/10=3/100
A pound of flour costs $12. How many ounces of flour can be purchased for $3.30?
Answer:
4.4 ounces/ 4 ounce (if rounded)
Step-by-step explanation:
There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.
Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces
Hope this helps!
Algebra Please Help!!
Answer:
c = 5/9 (F-32)
F-32 = c ÷ (5/9)
F-32 = c × (9/5)
F-32= 9c/ 5
F= (9c/5) + 32
I hope I helped you^_^
If you can help me with this whole thing i will be forever in your dept
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Answer the questions to solve this problem using a system of equations.
1. Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Write your answer in the space below.
2. Write an equation to represent the number of pages Jesse has read.
Using x, the number of days Amir has been reading, write an expression to represent the number of days Jesse has been reading. Remember that Jesse started reading one day before Amir. Use this expression to write an equation for the number of pages Jesse has read. Let y represent the number of pages read.
Write your answer in the space below.
3. Write the system of equations using your answers from questions 1 and 2.
Write your answer in the space below.
4. You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution.
Write your answer in the space below.
5. Solve the system of equations. Show your work.
Write your answer in the space below.
6. Interpret your solution. How many days does it take Amir to catch Jesse? At that time, how many pages have they read?
Write your answer in the space below.
Answer:
Answer:
6 days
210 pages
Step-by-step explanation:
As stipulated by the question, let the number of days Amir has been reading be x and the number of pages he had read to be y.
Now since he reads 35 pages per day.
Then mathematically;
y = 35x
For Jesse, He started reading a day before, this means that the number of days he had read would be x + 1. Since he reads 30 per day, the total number of pages he would have read is 30(x+1)
To find the number of days which is x, we have to assume that at a point in time, the number of books they would have read would be the same meaning that
Also; y = 30(x + 1)
Equating the two situations
35x = 30(x + 1)
35x = 30x + 30
35x -30x = 30
5x = 30
x = 30/5
x = 6 days
This means that it will take Amir 6 days to catch Jese.
The number of books they would have read by then is y = 35x = 30(x + 1)
= 35 * 6 or 30(6+1)
= 210
Step-by-step explanation:
Answer: dude above me copied
Step-by-step explanation:
1. y = 35x
2. y = 30x + 1
3. y = 35x
y = 30 x + 1
4. Its more convenient to substitute y because It's easier.
35x = 30(x + 1)
5. 35x = 30x + 1
35x = 30x + 30
35x -30x = 30
5x = 30
x = 6 (30/5 = 6)
35 x 6 = 210 (y)
6. Both people have read 210 pages and it takes amir 6 days to catch up.
36 divided by m over x times 9
Answer:
Step-by-step explanation:
4/mx
Can someone help me with exterior angle theorem?
According to the exterior angle theorem, an external angle's measure is equal to the sum of its remote interior angle's two measurements. The opposite interior angles are another name for the remote interior angles. Where can I determine a triangle's outer angle? In a triangle, how can I determine the interior and outside angles?
Take the total of two interior angles of a triangle that are known and deduct it from 180 to find the internal angle of the triangle.
Simple addition of the triangle's two opposite internal angles will yield the triangle's external angle. 180° minus the inside angle equals each exterior angle. Using this formula requires the knowledge of the corresponding internal angle. Exterior angle = Total.
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PLS HELP!!!!!!!!!!!!!!
Answer: B
Step-by-step explanation:
The actual distances is 1.7 - ( -0.5)= 2.2
A 1.7- 0.5= 1.2 and the absolute value of 1.2 is 1.2
B 1.7- (-0.5) = 2.2
Evaluate the given expression for x=5
x² + 3x - 2
(5)² + 3 × 5- 2
25 + 15 - 2
40 - 2
38...
A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
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Previou
Next >
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
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Enter an equation that represents the data in the table.
x 3 5 8 10
y 15 25 40 50
An equation is y
Answer:
y=5x
Step-by-step explanation:
3 x 5
5 x 5 and so forth
give your answer as a mixed number
will someone show me how
to work out questions like this in the pictures step but step
Answer:
The value of given expression is 13 / 3
Step-by-step explanation:
Given expression in the form of improper fraction;
17/3 - \(1\frac{1}{3}\)
Find;
The value of given expression
Computation:
⇒ 17/3 - \(1\frac{1}{3}\)
Step 1 ;
Change mixed fraction into simple fraction
⇒ 17/3 - 4/3
Step 2 ;
By taking LCM of denominators;
⇒ [17 - 4] / 3
Step 3 ;
Subtract 17 from 3
⇒ [13] / 3
The value of given expression is 13 / 3
Simplify.
2 ( to the power of 3)+4⋅8
40
80
96
160
Answer:
2 to the power of 3 is 8 so
8 + 4.8 = 12.8
Step-by-step explanation:
helppppp meeeeeeeedjhrbbffnfn
Answer:
Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.
Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.
According to the context clues provided by the author, what is a pesticide?
Group of answer choices
Step-by-step explanation:
Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.
Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.
According to the context clues provided by the author, what is a pesticide?
Group of answer choices