Answer:
y = ( 6 / 5 )x - 5;
Step-by-step explanation:
Perpendicular Line Theoryy = - ( 1 / m )x + c;
AlgebraConvert dual intercept to standard form.
5x + 6y = 18;
Subtract 5x from both sides.
6y = - 5x + 18;
Divide both sides by 6.
y = ( - 5x + 18 ) / 6;
y = ( - 5x / 6 ) + ( 18 / 6 );
y = ( - 5 / 6 )x + 3;
Get the perpendicular line.
y = ( 6 / 5 )x + c;
Substitute the point.
7 = ( 6 / 5 )( 10 ) + c;
7 = 12 + c;
Subtract 12 from both sides.
- 5 = c;
c = - 5;
y = ( 6 / 5 )x - 5;
What is the average of the expressions 2x+5, 5x-6, and -4x+2
Answer:
x+1/3
Step-by-step explanation:
Add the terms together (3x+1), then divide by how many terms there are (3), to get the average of the expressions
1. In polynomial x - 12; 12 is a ______
Answer :- Constant term
In p(x) = x - 12, 1 is the coefficient of x and -12 is the constant term.
Find the reminder when 2 to the 100th power is divided by 5 explain your work
The reminder of 2 to the 100th power divided by 5 is 1
What is the reminder when 2 raised to the power of 100 is divided by 5?2 to the 100th power is:
[tex]2^{100}[/tex] = 1,267,650,600,228,229,401,496,703,205,376
Then dividing 2 to the 100th power by 5:
1,267,650,600,228,229,401,496,703,205,376 / 5 = 253,530,120,045,645,880,299,340,641,075 (without considering the decimal value)
This tells us how many times 5 can divide 2 to the 100th power.
Next, we need to multiply the answer obtained from the division by 5 (since we used 5 to divide):
253,530,120,045,645,880,299,340,641,075 x 5 = 1,267,650,600,228,229,401,496,703,205,375
Lastly, subtracting our last answer from the value of 2 to the 100th power will give us the reminder:
1,267,650,600,228,229,401,496,703,205,376 - 1,267,650,600,228,229,401,496,703,205,375 = 1
Therefore, the reminder when 2 raised to the power of 100 is divided by 5 is 1.
Learn more about remainder on:
https://brainly.com/question/25289437
#SPJ1
x-3 divided by x^2 + 5x + 2
Answer:
[tex]6x - \frac{3}{X^2} + 2[/tex]
Step-by-step explanation:
Hope this is correct and helps you! :))
Use the order of operations to demonstrate that the Distributive Property holds by showing that both sides of each equation are equal.
RHS= 2*4/5*3+2*1/5*3
= /15+2/15
= +2/15
= /15
= /3
Applying the distributive property and precedence of operations, the results to each side of the expression is of 2/5, hence they property holds.
Left-hand side:The left-hand side of the expression is defined as follows:
2/5(4/3-1/3)
Applying the distributive property, 2/5 multiplies each term as follows:
2/5(4/3-1/3) = 8/15 - 2/15
(multiplication of fractions -> multiply numerators and denominators with themselves).
They have common denominator, then the subtraction of the fractions is calculated as follows:
2/5(4/3-1/3) = 8/15 - 2/15 = 6/15
6 and 15 are divisible by 3, hence the fraction is simplified as follows:
6/15 = 2/5.
Right-hand sideThe right-hand side of the expression is given as follows:
2/5 x 4/3 - 2/5 x 1/3
We have two operations, subtraction and multiplication. The multiplication has higher precedence, hence:
2/5 x 4/3 - 2/5 x 1/3 = 8/15 - 2/15
Then the procedure is the same as the left-hand side, obtaining an equal result, and so the distributive property holds.
Missing information2/5(4/3-1/3)=2/5*4/3-2/5*1/3
We need to solve:
Left-hand side: Distributive property.Right-hand side: Precedence of operations.Learn more about the Distributive Property at https://brainly.com/question/2807928
#SPJ1
Answer the question below
Suppose that 13 inches of wire costs 52 cents.
At the same rate, how many inches of wire can be bought for 36 cents?
Answer:
9 inches
Step-by-step explanation:
Set it up like a fraction ratio and solve for x. as the price (denominator) and amount (numerator) have a set ratio, you can cross-multiply for your answer.
[tex]\frac{13}{52} =\frac{x}{36\\}\\[/tex]
13*36 = 468
468/52 = 9
Another way would be to divide 13 by 52 and multiply by 36, but then you end up with decimals and cross multiplication will be easier in the long run.
help me these two questions please
The values are given as;
1. - 2a - 9 = 6a + 15, a = -3
2. 14 + 3n = 5n - 6, n = 10
What is an algebraic expression?An algebraic expression can simply be described as a mathematical expression that composed of arithmetic operations, such as;
ParenthesesAdditionsubtractionBracketDivisionMultiplicationThey are also known to be made up of terms, variables, constants, factors and coefficients.
Given the algebraic expression;
- 2a - 9 = 6a + 15
Let's take the following steps;
collect like terms
- 2a - 6a = 15 + 9
add or subtract like terms
-8a = 24
Make 'a' the subject
a = 24/-8
Find the quotient
a = -3
14 + 3n = 5n - 6
collect like terms
3n - 5n = -6 - 14
-2n = -20
Make 'n' the subject of formula
n = 10
Hence, the values are -3 and 10
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Twenty years from now I will be 4 times as old as my present age what is my present age
approximately 7 years old
Step-by-step explanation:
1.5x+0.5y=12
a. solve for y
b. find ordered pairs for the function
Answer:
Step-by-step explanation:
y=-3x+24
(0,24)
2
The graph of a linear function is shown
below. What is the domain of the
function?
Answer:
G
Step-by-step explanation:
the domain is the interval or set of all valid x values.
we see x starts at -3 and goes up to +1.
but x = 1 has the be excluded (the hollow point tells us that, a filled point says "include").
therefore, the -3 <= x < 1 answer is correct
Use the order of operations to evaluate.[tex]16.5 + ({62 }^{2} - 15.6) - 2[/tex]
Thus, the final answer is 34.9.
2.
[tex]16.5+(6^2-15.6)-3=16.5+(36-15.6)-3[/tex]what is y= –12x–6 on a graph
The graph of the equation y = –12x – 6 is attached in the solution.
We can find the x and y intercept of the line to find make the graph.
Putting x = 0 in the given equation, we get:-
y = -12(0) - 6 = 0 - 6 = -6
Hence, the x -intercept is (0,-6).
Putting y = 0 in the given equation, we get:-
0 = -12x - 6
6 = -12x
x = 6/(-12)
x = -1/2
Hence, the y -intercept is (-1/2,0).
We can find another point on the line.
Putting x = -1 in the given equation, we get:-
y = -12(-1) - 6
y = 12 - 6 = 6
y = 6
Hence, another point on the line is (-1,6).
Plotting these points we can graph the equation of the line.
To learn more about graph of the equation, here:-
https://brainly.com/question/1971145
#SPJ1
I’m very confused with this question, I tried to do it but I just have slight feeling I got this wrong and I want to double check make sure my answer is correct. Would you please me help me thank you very much
The powers of the imaginary number i have four possible values: 1, i, -1, and -i. Let's see some examples:
i⁰ = 1 (any number with the exponent 0 equals 1)
i¹ = i (any number with the exponent 1 is the number itself)
i² = -1 (this follows from the definition of the imaginary number, the square root of -1)
i³ = i² * i = -1 * i = -i
Now, the results start to repeat from 1 to -i:
i⁴= i² * i² = (-1) * (-1) = 1
i⁵ = i⁴ * i = 1 * i = i
i⁶ = i * i⁵ = i * i = i² = -1
i⁷ = i⁶ * i = -1 * i = -i
From that, we can follow the steps below to find the value of a power of i:
• divide the exponent by 4;
,• if the rest of the division is 0, then the power equals ,i⁰ = 1,;
,• if the rest of the division is 1, then the power equals ,i¹ = i,;
,• if the rest of the division is 2, then the power equals ,i² = -1,;
,• if the rest of the division is 3, then the power equals ,i³ = -i,.
So, for the power i⁶⁴⁹, the exponent is 649. Following the steps above, we find:
• 649/4, has a quotient of 162 and the, rest 1,. Therefore:
i⁶⁴⁹ = i¹ = i
Thus, i⁶⁴⁹ equals i.
Write answer in scientific notation
(1.94 × 10³) (8 × 10")
Scientific notation the
The scores for 21 students on an exam are summarized
in the stemplot below.
Exam Scores
4
5
69
7 125567
8012455699
9
90147
Key: 910 = 90% on the exam
The teacher realizes that a mistake was made and the
student whose score was recorded as 49% should have
been 69%. If the mistake is corrected, what effect will
this have on the mean and median scores?
The mean and median will both increase.
* Neither the mean nor the median will change.
The mean will increase but the median will
decrease.
The mean will increase but the median will be
unchanged.
It’s D :)
The median value is the 11th score which is 84%.Changing 49% to 69% will increase the mean but the median will not change.
What are mean, median and mode ?The three measures of central tendency used in statistics are mean, median, and mode. While describing a set of data, we always specify the focal point of any data set. The measure of central tendency is this. Every day, data are presented to us. We discover them in books, articles, bank statements, phone and utility bills, as well as in newspapers. There are so many; they are all around us. The challenge now is if we can identify some key characteristics of the data by focusing on only a few data points. The means, medians, and modes—measures of central tendency or averages—can be used to do this. When describing a set of data, a measure of central tendency locates the set's center.
To know more about mean median and mode ,visit:
brainly.com/question/14859109
#SPJ13
Answer:
IT WAS NOT D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Select the correct words in the problem so no answers are duplicatedIdentify the different parts of the expression below.3.9253g2 + 8(24 – 2p)nee eduseIn the mathematical expression,2p represents aA difference24 - 2p represents adifferencecoefficient® coefficientproduct© product2sumquotientOsumquotient53p2represents aA difference® coefficientod productosumquotient3 represents a A differenceclercoefficienta© productOsum© quotient
Explanation
To answer the question, we have to understand the different parts of an algebraic expression
An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.
We are given the algebraic expression:
[tex]\frac{3p^2}{5}+8(24-2p)[/tex]For the given question
The difference means the result of subtracting one number from another or How much one number differs from another, so we have
[tex]24-2p\text{ representing Difference}[/tex]Then
The coefficient is is a number or any symbol representing a constant value that is multiplied by the variable of a single term or the terms of a polynomial, so we have
[tex]3\text{ representing coefficient}[/tex]Also
A quotient is a number resulting from the division of one number by another, so we have
[tex]\frac{3p^2}{5}\text{ representing a quotient}[/tex]Finally,
A product is the result of multiplication or an expression that identifies factors to be multiplied.
Thus, we have
[tex]2p\text{ representing a product}[/tex]if 124 people attend a concert and tickets for adults cost $2.5 while tickets for children cost $2 and total receipts for the concert was $274, how many of each went to the concert?
Answer: (52,72) (52 adults and 72 children)
Step-by-step explanation:
1) Create 2 formulas that show the information show above, 2.5x+2y=274 showing how the x is how many adults paid for a ticket and y is how many children paid for a ticket. The second formula being x+y=124 meaning the combination of children and adults equal 124 people.
2) Take those formulas and input them into a graph as shown in the picture (Graph 1)
3) Find the common point shown on the graph (should be the middle grey dot if on Desmos as shown (Graph 2)
4) The common point is (52, 72)
And if you plug these numbers in by replacing the x's and y's i shown in step 1 they bring an output of 274 and 124
Hope this helps :)
Question 18 of 25
What are the more appropriate measures of center and spread for this data
set?
H
16
22 24 26
0246 8 10 12 14 16 18 20 22 24 26 28 30
Select two choices: one for the center and one for the spread.
A. Better measure of spread: standard deviation
B. Better measure of center: mean
Option C and Option D are the appropriate measurements of center and spread for the dataset.
What are the best measures of center and spread of the data?The mean, median, and mode are three examples of center-of-data measurements.
Included in the spread measurements are range, mean deviation, variance, and standard deviation.
The given data is displayed as a box plot with the minimum, maximum, median, Q1 and Q3 values.
The median is the most accurate measurement of the middle of the data.
The interquartile range is the appropriate way to measure spread.
In conclusion, the median and interquartile range, respectively, are the most suitable measures of the data set's center and dispersion.
To learn more about measures of center and spread ,visit:
brainly.com/question/10252810
#SPJ13
Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)
Answer:
f(1) = 15
f(-9) = -65
f(0) = 7
Step-by-step explanation:
f(1) = 8(1) + 7
f(1) = 8 + 7
f(1) = 15
f(-9) = 8(-9) + 7
f(-9) = -72 + 7
f(-9) = -65
f(0) = 8(0) + 7
f(0) = 7
evaluate (8+2)³-6 pla help me thanks
Answer:
994
Step-by-step explanation:
work inside the parenthesis first. 8+2 = 10 then raise 10 to the power of 3 which is 1000. subtract 6 from 1000 & you get 994
Answer:
994
Step-by-step explanation:
PEDMAS
Do the math inside the parentheses first
8+2 = 10 Now do the exponent 10^3 = 1000 Now subtract 6 = 994
the slop of (10,8) and (1,9)
Answer:
slope = -1/9
Step-by-step explanation:
Hope this helps!!!
A bicycle company has designed and built a new model of sports bicycle. They have determined that the profit for the sale of the bicycles can be modeled by the function ��(��) =− 2�� , where x is the price of each bicycle. Which of the 2+ 920�� + 84, 000 following is a sale price for the bicycles that will allow the company to achieve a profit of $189,800?
Answer:120 dollars
Step-by-step explanation:
2. Evaluate the expression
4 (-1.2-4-4.75) +1+(-3)².
Answer:
-29.8
Step-by-step explanation:
4 (-1.2-4-4.75) +1+(-3)²
4 (-1.2-4-4.75) +1+(-3)²
4 (-9.95) +1+9
4 (-9.95) +1+9
-39.8 +1+9 = -29.8
What is the value of pi
Answer:
the value of pi is 3.14159
Help in this asap due soon
Answer:
Q4) 20
Q5) 48%
hope this helps
Which operation comes first in the problem below? 4(3.7 +1.23) -12 A. Addition B. Subtraction C. Multiplication D. Division
A. Addition
Explanation
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. Given two or more operations in a single expression, the order of the letters in PEMDAS tells you what to calculate first, second, third and so on, until the calculation is complete
Step 1
so, firts calculate the parenthesis
[tex]\begin{gathered} 4(3.7+1.23)-12 \\ 4(4.93)-12 \end{gathered}[/tex]
the operation in parenthesis is an addition
i hope this helps you
what is the missing measurement (w) for the poster of spongebob.
To make a poster you have to keep the ratio between lenght and height (otherwise it will look weird)
This is:
[tex]\frac{12\operatorname{cm}}{20\operatorname{cm}}=\frac{w}{36\operatorname{cm}}[/tex]At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.25 and the cost of a large greeting card is $4.50. How much would it cost to get 5 small greeting cards and 4 large greeting cards? How much would it cost to get xx small greeting cards and yy large greeting cards?
The Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the Cost of the small greeting card = is $1.25 .
The Cost of the large greeting card =$4.50.
We need to determine the Total cost of 5 small and 4 large greeting cards and the total cost of x small and y large greeting cards.
The Cost of 5 small greeting cards = 6.25
The Cost of 4 large greeting cards = 18
Then the Total cost = $6.25+ $18 =$24.25
Therefore, the Total cost of 5 small and 4 large greeting cards is; $24.25.
Now, the total cost of x small and y large greeting cards will be;
Cost of x small greeting cards = 1.25x
Cost of y large greeting cards = 4.50y
Total cost = 1.25x + 4.50y
Therefore, the Total cost of x small and y large greeting cards is; 1.25x + 4.50y.
To learn more about cost visit:
brainly.com/question/15135554
#SPJ1
a newsletter publisher believes that 333% of their readers own a rolls royce. a testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. after performing a test at the 0.100.10 level of significance, the testing firm fails to reject the null hypothesis. what is the conclusion regarding the publisher's claim?
There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
According to the newsletter publisher that 33% of their readers own a Rolls Royce.
The testing firm says that this is an inaccurate issue and performs a test to dispute the publisher's claim, after performing the test at the 0.10 level of significance the results are as follows,
Null hypothesis:
H₀ : p = 0.33
Alternative hypothesis:
H₁ : p ≠ 0.33
We reject H₀ at the 0.10 level of significance.
Therefore, There is sufficient evidence at the 0.10 level of significance that the percentage is not 33%.
To learn more about Hypothesis click here:
https://brainly.com/question/8409823
#SPJ4