Answer:
y - 6 = (-1/2)(x - 4)
Step-by-step explanation:
As we go from (4, 6) to (6, 10), x (the run) increases by 2 and y (the rise) increases by 4. Thus, the slope of the line connecting these two points is m = rise / run = 4/2 = 2.
The slope of a line perpendicular to this one is the negative reciprocal of 2, which is -1/2.
Using the point-slope formula, we get the following equation for the perpendicular line:
y - 6 = (-1/2)(x - 4) ( obtained using the point (4, 6) )
Which equation is NOT written in slope-intercept form?
Answer:
2x - 5 + 2y + 14 is not in slope intercept form
Step-by-step explanation:
Slope intercept form is y = mx + b
yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?
Find the measure of ∠3.
26°
64°
90°
116°
Answer:
90
Step-by-step explanation:
will give brainliest help
i need both of them.
Answer:
#5. n=140
#6.Y=60 X=120
Let me know if you need the work for either problem
A minivan is traveling at 80.5 kilometers per hour. Cargo is strapped to the roof at a height of 1.75 meters. The car hits a concrete barrier, and the cargo is ejected from the roof. Use the following two equations to determine how long it takes for the cargo to hit the ground and how far it travels in the horizontal direction. Let y represent height in meters, x represent horizontal distance in meters, and t represent time in seconds. Equation 1: y = -4.9t2 + 1.75 Equation 2: y = -0.0081x2 + 1.75
The time taken for the cargo to hit the ground will be 0.6 seconds and it travels in the horizontal direction for around 14.69 feet.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here,
The calculations are attached in images.
To calculate t we will use that is y because at the moment of cargo will have a height 0, so we get,
= −4.9t² +1.75
-1.75=-4.9t²
t²=-1.75/-4.9
t²=√0.3571
=0.6 seconds
Now we will calculate x, then y = 0
because since the cargo will be on the ground it will no have height, so
0= -0.0081x²+1.75
-1.75 =-0.0081x²
x²=-1.75/-0.0081
x= √216.04 = 14.69 feet
It will take the cargo 0.6 seconds to hit the ground, and it will travel 14.69 feet in a horizontal direction.
To know more about equation,
https://brainly.com/question/649785
#SPJ4
9 29/40 as a decimal
Step-by-step explanation:
I think 9.279..............
12 • (3 + 2)2 ÷ 2 – 10
Answer:
50
Step-by-step explanation:
12*(5)2/2-10
60*2/2-10
60-10=50
Answer:
140
Step-by-step explanation... using
12 • (3 + 2)2 ÷ 2 – 10
P -(5)2 /2 - 10
E - 5 times 5 = 25
M -12 times 25 = 300
D - 300 divided by 2 = 150
A
S - 150 - 10 = 140
Which comparison is NOT true?
A 3.64 > 3.579
4.400 = 4.4
C 5.7 < 5.89
D 6.349 > 6.5
Answer:
D
Step-by-step explanation:
Just look at the symbols lol
the number of people p that are contracting a new disease can be modeled by the population virus p of t equals 3725 divided by quantity 1 plus 1 and 72 hundredths times e to the negative 52 hundredths times t power end quantity comma where t is measured in days. at approximately what rate is the disease spreading on day 4?
Using the given exponential function,
The rate of the disease spreading is approx. 140 peoples per day affected.
let P be the number of people's that are contacting a new disease.
given exponential function about the new disease modeled by population is
P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)
where t is time measured in days
we want to calculate the rate of diseases spreading on day 4 i.e t = 4
putting the value t = 4 in above formula, we get
P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)
=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)
=> P(t=4) = 3725/(1 + 1.72× 0.124)
=> P(t = 4) = 3725/(1+ 0.2148)
=> P(t=4) = 3725/1.2148
=> P(t = 4) = 3066.14
Hence, after 4 days of diseases spread , total 3066 people's are affected from it .
rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75
so, rate of spreding diseases is 139.75 ~ 140 peoples per day .
To learn more about exponential rate function, refer:
https://brainly.com/question/28596507
#SPJ4
Expand and simplify (2x^2+3)(4x+5)-8x(x^2-2)
Answer:
\(10x^2+28x+15\)
Step-by-step explanation:
\((2x^2+3)(4x+5)-8x(x^2-2)\\\\=(2x^2)(4x)+(2x^2)(5)+(3)(4x)+(3)(5)-8x^3+16x\\\\=8x^3+10x^2+12x+15-8x^3+16x\\\\=10x^2+28x+15\)
Use the given information to find the equation of the quadratic function. Write the function in standard form f(x) ax² + bx + c.
The zeros of the function are x = 8 and x = -2. Use the fact that f(2)=-72 to find a.
f(x)=
The equation of the quadratic function is: f(x) = 3x² - 18x - 48
To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.
Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:
f(x) = a(x - 8)(x + 2)
To find the value of "a," we can use the fact that f(2) = -72.
Substituting x = 2 into the equation, we have:
-72 = a(2 - 8)(2 + 2)
Simplifying, we get:
-72 = a(-6)(4)
-72 = -24a
Dividing both sides by -24, we find:
3 = a
Now that we know the value of "a," we can rewrite the equation in standard form:
f(x) = 3(x - 8)(x + 2)
So, the equation of the quadratic function is:
f(x) = 3x² - 18x - 48
Learn more about quadratic function :
https://brainly.com/question/28038123
#SPJ11
What’s the equation for this graph?
Answer:
y=-1/4x+2
Step-by-step explanation:
y=mx+b
M=slope
B= y intercept
The numerator of a fraction is 19 less than the denominator of the fraction. GIve that the fraction 2/9 is obtained when 1 is subtracted from the numerator and 1 is added to the denominator, fing the original fraction.
Answer:
\(\frac{7}{26}\)
Step-by-step explanation:
let x be the denominator of the fraction then x - 19 is the numerator , so
\(\frac{x-19}{x}\) ← is the original fraction
subtrating 1 from the numerator and adding 1 to the denominator , then
\(\frac{x-20}{x+1}\) = \(\frac{2}{9}\) ( cross- multiply )
9(x - 20) = 2(x + 1) ← distribute parenthesis on both sides
9x - 180 = 2x + 2 (subtract 2x from both sides )
7x - 180 = 2 ( add 180 to both sides )
7x = 182 ( divide both sides by 7 )
x = 26
Then the original fraction is
\(\frac{26-19}{26}\) = \(\frac{7}{26}\)
what is the sum of the following equation? 16/100
a. 10/100
b. 22/100
c. 36/100
d. 76/100
Answer:
0.76
\(\frac{19}{25}\)
Step-by-step explanation:
Answer:
D) 76/100
Step-by-step explanation:
16/100 + 6/10 = ?
16/100 + 60/100 = ?
16/100 + 60/100 = 76/100
Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty-two feet long and six yards wide. What is the perimeter of the field in feet
The perimeter of the field is 100 feet.
The length of the field is 32 feet, and the width is 6 yards.
Since 1 yard is equivalent to 3 feet, the width is 18 feet.
To find the perimeter, add the lengths of all sides.
There are two lengths and two widths in a rectangle like this field.
Therefore, we have to multiply each length by two and each width by two and add them together.
Perimeter = 2(32 ft) + 2(18 ft)
Perimeter = 64 ft + 36 ftPerimeter = 100 ft
Therefore, the perimeter of the field is 100 feet.
Know more about perimeter here:
https://brainly.com/question/397857
#SPJ11
To compare moral reasoning skills of younger and older children,Professor Hauten tested and retested a group of children from the time they were 4 until they reached the age of 12.The professor conducted a ________ study.
A) longitudinal
B) "sandwich generation"
C) neurogenesis
D) cross-sectional
To compare moral reasoning skills of younger and older children, Professor Hauten tested and retested a group of children from the time they were 4 until they reached the age of 12. The professor conducted a A. longitudinal study.
This is because the researcher studied the same group of children over a period of time. Longitudinal study is a type of research design used in psychology and social sciences in which the same individuals or group of people are studied repeatedly over a period. It is one of the most effective ways to investigate developmental changes occurring in a group over time.
An example of a longitudinal study is a study of child development, where researchers might track children’s development over several years. Through longitudinal studies, researchers can assess the stability of individual differences over time, the effects of aging on behavior, or how different variables might interact over time.
To know more about children’s visit:-
https://brainly.com/question/13387533
#SPJ11
there are 6 people in line to board a plane with 6 seats. the first person has lost his boarding pass, so he takes a random seat. everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat. what is the probability the last passenger ends up in his/her assigned seat, as a decimal?
The probability that the last passenger end up in his/her assigned seats is 0.20.
In the given question, there are 6 people in line to board a plane with 6 seats.
The first person has lost his boarding pass, so he takes a random seat.
Everyone that follows takes their assigned seat if it's available, but otherwise takes a random unoccupied seat.
We have to find the probability the last passenger ends up in his/her assigned seat.
Given 6 people with 6 Seats.
The probability that the last passenger end up in his/her assigned seats = 1/5
The probability that the last passenger end up in his/her assigned seats = 0.20.
To learn more about probability link is here
brainly.com/question/11034287
#SPJ4
Arrange the matrices in increasing order of their determinant values.
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
\(D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]\)
The determinant of the matrix is:
\(|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)\)
\(|D | = \cos^2\theta + \sin^2\theta\)
Using trigonometry ratio, we have:
\(|D | = 1\)
(b)
\(\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]\)
The determinant of the matrix is:
\(|D| = 2 * 2 - 0 * 0\)
\(|D| = 4 - 0\)
\(|D| = 4\)
(c)
\(\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]\)
The determinant of the matrix is:
\(|D| = 0 * 0 -(-i * i)\)
\(|D| = 0 +i^2\)
\(|D| = i^2\)
In complex numbers
\(i^2 = -1\)
So:
\(|D| = -1\)
So, the order of the determinants is: c, a, b
In assessing the reliability of a new test, a sample of 1,000 examinees take the test, and one week later are asked to take the same test agaThis is an example of which type of reliability
Answer:
Test-retest
Step-by-step explanation:
Based on the information given it is an example of TEST-RETEST.
TEST-RETEST is a relibility test that is been conducted on a group of people twice but on a different day or different time reason been that once the group of people write the test ,they will be ask to come back and retake the same test a week later in order to assess whether the test results they wrote earlier on and the new test results they newly rewrite a week later are the same or for the sole aim of assessing the reliability of the new test they rewrite and the old test they wrote earlier.
Example a group of students may write a test on Friday in which the same group of students will be ask to come back and rewrite the same test the following Friday which inturn makes the students to write the same test twice.
Therefore this is an example of which type of reliability TEST-RETEST.
Find the equation of the line. Use exact numbers. y =__ x +__
EXPLAIN:
Ex: the line is: y = ax + b
The line go through 2 points ( 0 ; -5 ) and ( 5 ; 0 )
So: \(\left \{ {{0=5a+b} \atop {-5=0a+b}} \right. =>\left \{ {{b=-5a} \atop {b=-5}} \right. =>\left \{ {{a=1} \atop {b=-5}} \right.\)
The line: y = x - 5 = (1)x + (-5)
ANSWER: y = (1)x + (-5)
ok done. Thank to me :>
Help me for brainliest...
The scale on a map is 1:320 000. What is the actual distance represented by 1 centimere? Give your answer in kilometres.
Answer:
1cm = 320 km?
Step-by-step explanation:
Answer:
\(3.2km\)
Step-by-step explanation:
\(1 \: : 320000 \\ 1cm = 320000cm\)
\(1cm = 100m \\ \)
\(1cm = 320000cm \\ 1cm = 3200m\)
\(1km \: \: = 1000m\)
\(1cm = 3200m \\ 1cm = 3.2km\)
hope this helps
brainliest appreciated
good luck! have a nice day!
with regard to a​ regression-based forecast, the standard error of the estimate gives a measure of:______.
With regard to a regression-based forecast, the standard error of the estimate gives a measure of option (C) the variability around the regression line
The standard error of the estimate in a regression-based forecast is a measure of the variability of the actual data points around the predicted values of the regression line.
It tells us how much the actual data points are likely to deviate from the predicted values, and provides a measure of the accuracy of the forecast. It is not related to the time required to derive the forecast equation, the maximum error of the forecast, or the time period for which the forecast is valid.
Therefore, the correct option is (C) The variability around the regression line.
Learn more about regression-based forecast here
brainly.com/question/14803765
#SPJ4
The give question is incomplete, the complete question is:
With regard to a regression-based forecast, the standard error of the estimate gives a measure of:
A. the time required to derive the forecast equation.
B. the maximum error of the forecast.
C. the variability around the regression line.
D. the time period for which the forecast is valid.
Line segment ON is perpendicular to line segment ML.
What is the length of chord ML?
A) 20 units
B) 24 units
C) 26 units
D) 30 units
Answer:
24 units
Step-by-step explanation:
OM = ON, so
OP= 13-8
That means OP is 5.
Using the Pythagorean Theorom to find MP:
5^2+b^2=13^2
25+b^2=169
b^2=169-25
b^2=144
B=12
This means MP =12. ML is twice as long as MP. 12x2=24
The answer is B. 24 units
Suppose you're doing a hypothesis test where the level of significance is 0.05, and you get a P-value of 0.165. What would your decision be in Step 4?
Answer;
Reject the null hypothesis
Explanation;
Here, we are having a situation in which the level of significance is less than the p-value
In this type of case, what we simply do is to reject the null hypothesis and accept the alternative hypothesis
Hence, simply put, we are going to reject the nulll hypothesis
Sandra made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 6 pans. Each batch of peanut butter brownies makes 3 pans. Sandra made 17 batches and ended up with 75 pans of brownies. How many batches of each type of brownie did she make?
Using the equations x + y = 17 and 6x + 3y = 75 the number of batches of fudge brownies and peanut butter brownies is obtained as 8 and 9 respectively.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
Let's use variables to represent the unknown quantities we're trying to find. Let -
x be the number of batches of fudge brownies that Sandra made
y be the number of batches of peanut butter brownies that Sandra made
From the problem, we know that -
Each batch of fudge brownies makes 6 pans, so the total number of pans of fudge brownies is 6x.
Each batch of peanut butter brownies makes 3 pans, so the total number of pans of peanut butter brownies is 3y.
Sandra made 17 batches in total, so x + y = 17.
Sandra ended up with 75 pans of brownies in total, so 6x + 3y = 75.
We can now use these equations to solve for x and y.
First, let's use the equation x + y = 17 to solve for x in terms of y -
x + y = 17
x = 17 - y
Substituting this into the second equation, we get -
6x + 3y = 75
6(17 - y) + 3y = 75
102 - 3y = 75
-3y = -27
y = 9
So Sandra made 9 batches of peanut butter brownies.
To find the number of batches of fudge brownies, we can use the expression x + y = 17 -
x + y = 17
x + 9 = 17
x = 8
Therefore, Sandra made 8 batches of fudge brownies and 9 batches of peanut butter brownies.
To learn more about equation from the given link
https://brainly.com/question/28871326
#SPJ1
List five vectors in Span {v_1, v_2}. Do not make a sketch. v_1 = [8 2 -7], v_2 = [-6 4 0] List five vectors in Span {v_1, v_2} (Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element.)
The integer for vector 1 {2,6,-7}, integer for vector 2 is 10,8,-14}, integer for vector 3 is {4,12,-14}, integer for vector 4 is {14,-2,-7} and integer for vector 5 is {22,0,-14}. (all these vectors are in span {V1 and V2})
List five vectors in Span {v_1, v_2}?
1) V1+v2={8,2,-7 }+{-6,4,0 }
={2,6,-7}
2) 2v1+v2={16,4,-14}+{-6,4,0}
={10,8,-14}
3)2v1+2v2={16,4,-14}+{-12,8,0}
={4,12,-14}
4)V1-v2={8,2,-7}-{-6,4,0}
={14,-2,-7}
5)2v1-v2={16,4,-14}-{-6,4,0}
={22,0,-14}
All of these vectors are contained within the span.
{v1,v2}={av1+bv2:ab∈r}
A matrix is a rectangular variety of ordered numbers (real or complex) or functions .Assume we want to express the following information about Ram and his two friends Rohan and Yash's possession of pens and pencils:
Ram has 20 pens and 7 pencils,
Rohan has 15 pens and 5 pencils,
Yash has 12 pens and 3 pencils
Now, this could be arranged in tabular form as follows,
⎢20 7⎢
⎢15 5⎢
⎢12 3⎢
To learn more about vectors
https://brainly.com/question/13322477
#SPJ4
The following graph depicts which inverse trigonometric function?
Considering the fact that the function has a value of 0 at the origin and no vertical asymptotes, the graph represents:
B: y = Arcsin(x).
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
In this problem, the function has no vertical asymptotes, hence it does not involve secant(1/cos) or tangent(sin/cos).
Since f(0) = 0, it is y = Arcsin(x), as sin(0) = 0, hence option B is correct.
More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565
Answer:
D
Step-by-step explanation:
Just took the quiz
this is soo hard help please
g = 3 and h = 5
=============================================================
Explanation:
The line y = 2 is horizontal.
Reflecting any (x,y) point over a horizontal mirror line will keep the same x coordinate, but the y coordinate will change (unless the point is on the mirror line itself).
The point P(g, -1) has y coordinate -1. The gap from y = -1 to y = 2 is 3 units.
So we move 3 units up to go from P(g, -1) to the point (g, 2) on the mirror line y = 2. Then we move another 3 units up to arrive at point Q(3,h) aka the location (g, 5)
Comparing (3,h) and (g,5) shows that g = 3 and h = 5
- 2x + 4y = 17
3x - 10y = -3
Answer:
1.-2x+4y=17
if you want me to solve for x : x=-17/2 +2y
If you want me to solve for y: y=17/4+x/2
2. If you want me to solve for x: x=-1+10y/3
If you want me to solve for y: y=3/10+3x/10
3. If you want me to do it all together it would be:
x=-79/4, y=-45/8
Step-by-step explanation:
brainly won’t register this
Answer:
The simplified form is \(x^{\frac{2}{3} }\)
Step-by-step explanation:
So before solving this question we need to know that.....
\(\sqrt[6]{x}\) = \(x^{\frac{1}{6} }\)
(proof)
\(\sqrt[6]{x}\) = \(x^{\frac{1}{6} }\)
\((\sqrt[6]{x}) ^{6}\) = \((x^{\frac{1}{6} })^{6}\)
x = x
So now we can rewrite the question as.........
\((\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }\)
Answer:
A
Step-by-step explanation:
x^2/3