The gradient of a line perpendicular to a line with a gradient of −2/3 is 3/2.
Gradient of a line
The gradient of a line is defined as the change in the "y" coordinate with respect to the change in the "x" coordinate of that line. The gradient of a line is helpful to find the inclination or steepness of a line.
We know that,
The product of gradient of two lines perpendicular to each other is equal to -1.
Let the gradient of the other line be m.
Hence, according to the data given in the question, we can write,
(-2/3)*m = -1
m = -1*(-3/2)
m = 3/2
To learn more about gradient of a line, here:-
https://brainly.com/question/24200465
#SPJ1
I need Algebra II help. Solve for x. 6x-10≤8 or 1/3x+6>12
If you can, please add an explanation. Thank you sm!
The solution of the inequality is x ≤ 3 or x > 18.
An inequality in mathematics is a relation that compares binary number or other mathematical in an unequal way.
The majority of the time, size comparisons between two figures on the number line are made. Different types of inequalities are represented by a variety of notations . The symbol for "larger than" that is divided in half by the word "not" can also be used to denote the relationship not greater than. For not fewer than and and a b, the same holds true.Now let us solve the inequality:
6x - 10 ≤ 8
adding 10 on both sides:
or, 6x -10+10 ≤ 8+10
or, 6x ≤ 18
dividing both sides by 6 we get :
or, 6x ÷ 6 ≤ 18 ÷ 6
or, x ≤ 3
For the second inequality:
1/3x+6>12
subtracting 6 from both sides :
or, 1/3x+6 - 6 > 12 - 6
or, 1/3 x > 6
Multiplying both sides by 3
or, x > 18
Therefore the complete solution is x ≤ 3 or x > 18 .
To learn more about inequality visit:
https://brainly.com/question/11612965
#SPJ1
What number is 150 decreased by 15%?
Answer:127.5
Step-by-step explanation:
m(d)=-4d^2+16d-40
Convert the function into vertex form.
The function into vertex form is m(d) = -4(d -2 )^2 - 24
Given in the question:
m(d)= - 4d^2 + 16d -40
and, Convert the function into vertex form.
Let's Know:
How do you change a function into vertex form?
m(d) = - 4d^2+16d-40 Convert the function into vertex form.
To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.
Come to the solution:
m(d)= - 4d^2 + 16d -40
take out the leading coefficient;
m(d)= - 4(d^2 - 4 x d ) -40
Complete the square
m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))
Express the function in vertex form :
m(d) = -4(d -2 )^2 - 24
Hence, The function into vertex form is m(d) = -4(d -2 )^2 - 24
Learn more about Vertex form at:
https://brainly.com/question/13921516
#SPJ1
Match each equation with the slope m and y-intercept of its graph.
A. m = -6, y-int = (0, 12)
1.5x-6y=30
B. m = -6, y-int = (0,5)
C. m = -, y-int = (0, 1)
D. m = 2, y-int = (0, 1)
E. m = 2, y-int = (0, -1)
F. m = , y-int = (0, -5)
2. y = 5-6x
3.y = x+1
4.5x-6y=6
5.5x+6y=6
6.6x + y = 12
For 5x-6y=30, slope = m = 5/6 and y-intercept = (0, -5)
For y = 5-6x, slope = m = -6 and y-intercept = (0, 5)
For y = x+1, slope = m = 1 and y-intercept = (0, 1)
For 5x-6y=6, slope = m = 5/6 and y-intercept = (0, -1)
For 5x+6y=6, slope = m = -5/6 and y-intercept = (0, 1)
For 6x + y = 12, slope = m = - and y-intercept = (0, 12)
What is the slope-intercept form of a line?
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
Given, the first equation is 5x - 6y = 30
Solving the equation for y, we get: y = (5/6)x + (-30/6) = (5/6)x + (-5)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -5)
The second equation is y = 5 - 6x
Solving the equation for y, we get: y = (-6)x + 5
Comparing this to the standard slope intercept form in literature, we have, slope = m = -6 and y-intercept = (0, 5)
The third equation is y = x + 1
Solving the equation for y, we get: y = x + 1
Comparing this to the standard slope intercept form in literature, we have, slope = m = 1 and y-intercept = (0, 1)
The fourth equation is 5x - 6y = 6
Solving the equation for y, we get: y = (5/6)x + (-6/6) = (5/6)x + (-1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -1)
The fifth equation is 5x + 6y = 6
Solving the equation for y, we get: y = (-5/6) + (6/6) = (-5/6)x + (1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = -5/6 and y-intercept = (0, 1)
The sixth equation is 6x + y = 12
Solving the equation for y, we get: y = (-6)x + 12 = (-6)x + 12
Comparing this to the standard slope intercept form in literature, we have, slope = m = - and y-intercept = (0, 12)
To learn more about this tap on the link below:
https://brainly.com/question/19440459
#SPJ9
Dividing Decimals: Rounding the quotient
0.03 divided by 0.148 =
The quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
According to the question,
We have the following information:
0.03 is divided by 0.148
Now, we have the quotient as:
0.2027
Now, when rounding off the numbers we know that the digits from where we are rounding off we look at the right next to that digit and when that digit is greater than 5 then the digit should be increased by 1 and when that digit is less than 5 then the digit should be the same.
So, we will round it off by taking the underlined digit to be next to first 2:
So, the digit is 0.
Then, we have:
0.2
Hence, the quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
To know more about quotient here
https://brainly.com/question/16134410
#SPJ1
What are the domain and range of this relation? ( – 3,9) ( – 8, – 7) (3, – 8) (0, – 1) ( – 2,4)
Answer: Domain: -8,-3,-2,0,3 Range: -8,-7,-1,4,9
Step-by-step explanation: To find the domain and range, just see the X values for the domain, and Y values for the range and put them in order from least to greatest. (because this is a relation and not just points, you don't just take the greatest point minus the least)
What is the area of this trapezoid 13 cm 15cm 29cm
Answer:315
Step-by-step explanation:
In the American flag there are 7 red stripes for
every 6 white stripes. How many red stripes
and white stripes are there in 120 American
flags?
Total number of stripes in 120 American flag = 120 × 13 = 156 stripes
When do we use unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
1. In simple terms, the unitary method is used to find the value of a single unit from a given multiple.
2 . If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method.
Given: Number of red stripes in American flag : 7 stripes
Number of white stripes in American flag = 6 stripes
Thus total number of stripes in an American flag = 6 + 7 = 13 stripes
By using unitary method we get ;
Number of stripes in 120 American flag = 120 × 13 = 156 stripes
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ13
Find the equation of each line in slope intercept form
Answer:
The equation is y = 1/2x +4
Copy and complete the prime factor trees
for 21 and 33.
What is the highest common factor (HCF)
of 21 and 33?
21
33
Answer:
21 = 3 * 7
33 = 3 * 11
HCF 3
What number n is four times as close to 2 as it is to 10
Answer:
n=38/3
Step-by-step explanation:
4*(n-10)=(n-2)
4*(n-10)=n-2
4n-40=n-2
3n-40=-2
3n=38
n=38/3
32” TV height: 16” width: _____
Answer:
16:9Step-by-step explanation:
The dimensions of a 32-inch TV are 81.28 cm for the diagonal, and approximately 71 cm and 40 cm for width and height in the 16: 9 format.
instructions! answer the question, add me as a friend, put funny explanation, and tell name:)
666666 X 4443332221119111
i will make brainliest to best one!
The numbers are 666666 X 4443332221119111. The number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
Given that,
The numbers are 666666 X 4443332221119111
We have to solve the number multiplication.
Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.
666666 X 4443332221119111
[tex]2.962218518 \times10^{21}[/tex]
Therefore, the number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].
To learn more about multiplication visit: https://brainly.com/question/2364418
#SPJ1
Use an integer chip model to help you evaluate −8 + (−8) and write the solution on the line.
Answer:
-16
Step-by-step explanation:
there should be two set of -8 add together which is -16
A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean = 90 and standard deviation = 20. Note: After 50 years of age, both the mean and standard deviation tend to increase. For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Step( i ) :-
Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.
Mean of the Population 'μ' = 83
Standard deviation of the Population 'σ' = 27.
Step(ii):-
Given X =60
Step(iii):-
Given X = 110
The Probability that between 60 and 110
P(60 < x<110) = P( -0.851 < z< 1)
= P( Z≤1) - P(Z≤ -0.851)
= (0.5 + A(1)) - (0.5- A(-0.851))
= (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)
= 0.8413 - 0.1977
P(60 < x<110) = 0.6436
The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
What happen in uniform probability distributions?In case of uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.
Therefore, The probability that x is between 60 and 110.
P(60 < x<110) = 0.6436
Learn more about probability on:
https://brainly.com/question/12905909
#SPJ2
What is the probability that a randomly chosen student prefers rap or sings in the shower 3-4 times a week
The equation for the probability that student sings or rap in the shower 3-4 times a week is,
[tex]P\text{ (sing or rap)=P(sings) + P(rap) - P(Sings and rap)}[/tex]Substitute the values in the equation to determine the probability hat student sings or rap in the shower 3-4 times a week.
[tex]\begin{gathered} P\text{ (sings or rap)=0}.4+0.5-0.2 \\ =0.9-0.2 \\ =0.7 \end{gathered}[/tex]So answer is 0.7.
How do you solve Mr.Fillbach drinks 1 cup of orange juice every morning He bought a 1 gallon jug of orange juice How many mornings will he be able to have orange juice before having to buy more juice
Mr. Fillbach will be able to have orange juice before having to buy more juice for 16 mornings.
The gallon is a unit of volume in imperial units and us a customary device. 3 one-of-a-kind variations are in modern use: the imperial gallon.
A clean manner to discern from liters to gallons, for an instance, is that a quart is a bit much less than a liter and 4 liters is a touch extra than 1 gallon. To be specific, 1 liter is 0.264 gallons (a bit greater than a quart), and four liters is 1.06 gallons. Q-I need to shop for a 35 mm. A gallon is equal to approximately 3.78541 liters. consequently, a gallon is larger than 3 liters.
Cups and liters each measure the extent of beverages, so whether or not you need to know how many cups are in a liter or water, oil or a bottle of soda, there will constantly be approximately four.3 cups in a liter! The liter is a metric measurement closest to the quart in imperial measurements.
Given,
Mr.Fillbach drinks 1 cup of orange juice every morning.
He bought a 1-gallon jug of orange juice.
Since there are 16 cups in 1 gallon.
Therefore, he is able to have orange juice before having to buy more juice = for 16 days
Learn more about gallon here:-https://brainly.com/question/1106482
#SPJ1
Suppose a shipment of 150 electronic components contains 4 defective components. To determine whether the
shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or
more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected?
The probability that the shipment will be rejected is 2/75.
What is probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how likely something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. is the study of events subject to probability.So, the probability that the shipment is rejected:
Probability formula: P(E) = Favourable events/Total events.Where favorable events are 4 and total events are 150.Now, substitute the values in the formula and solve as follows:
P(E) = Favourable events/Total eventsP(E) = 4/150P(E) = 2/75Therefore the probability that the shipment will be rejected is 2/75.
Know more about probability here:
https://brainly.com/question/25870256
#SPJ13
Which equation best represents the graph?
Please help me
this is difficult please help I need to know the answer I give more point pls help.
Answer:
decagon
Step-by-step explanation:
all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(-1, 9) \text{ and } (4, -3)
(−1,9) and (4,−3)
The distance between the given points will be 13 square units.
A triangle may be defined as a closed figure having three sides and three interior angles. A right triangle may be defined as a triangle which has one interior angle as 90°. The right triangle consists of a base, an altitude and a hypotenuse. We have the coordinates of the hypotenuse as (-1, 9) and (4, -3). If we plot these points on graph paper, we get the other point as (-1, -3). Also, the distance between the points (-1. 9) and (4, -3) is given by
Distance = √(-3 - 9)² + (4 + 1)²
Distance = √(-12)² + (5)²
Distance = √144 + 25
Distance = √169
Distance = 13 square units.
Learn more about right triangle at:
brainly.com/question/20877441
#SPJ1
An election ballot asks voters to select five city commissioners from a group of nineteen candidates. In how many ways can this be done?
Answer:
Hello! I Have the Correct Answer to This Question, 8,568 ways
Hope This Helps!
Explination:
C(18, 5) = 18!/((18 - 5)! 5!)
C(18, 5) = 18!/(13! 5!)
C(18, 5) = 14*15*16*17*18/(2*3*4*5)
C(18, 5) = 8,568 ways
Brainliest?
Find
(3.2x10¹0) (3.75x10⁰)
(4x10°) (6x105)
expressed in scientific notation.
PLEASE HELP!!! I WILL GIVE BRAINLIEST
The scientific notation of the given numbers is 12 x [tex]10^{10}[/tex] and 24 x [tex]10^{5}[/tex].
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 x [tex]10^{8}[/tex]
The given numbers are
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
and (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
So, Considering these numbers one by one,
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])
We multiply 3.2 and 3.75 and add the exponents of 10.
(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex]) = 12 x [tex]10^{10}[/tex]
Now the second number that we have is (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])
We multiply 4 and 6, and we add the exponents of 10.
(4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex]) = 24 x [tex]10^{5}[/tex]
To read more about scientific notation, https://brainly.com/question/18073768
#SPJ9
|z-18|-15=-5 , what's the absolute value for Z?
Answer:
8
Step-by-step explanation:
absolute value of z-18 = z + 18
z + 18
-15
______
z + 3
z + 3 - 3 = -5 - 3
z = -8
|z| = |-8|
z = 8
hope this helped ^^
what is the answer to (-8) - (-1) ?
Answer:
-7
Step-by-step explanation:
the answer is -7 no bracket needed
two hot air balloons are traveling along the same path from a town beginning from different locations at the same time. Henrys balloon begins 15 miles from town and is 29 miles from the town in 2 hours. The distance of tashas Balloon from the town is represented by the function y= 6x + 10
Henry's balloon was faster as according to the graph of both the equations y = 7x +15 and y = 6x + 10. The line of Henry's balloon is more inclined toward the y-axis which reflects it is moving faster.
In 2 hours, Henry's balloon went 14 miles from 29 to 15, 29 - 15 = 14 miles.
So the balloon's speed was 14 miles per 2 hours = 7 miles per hour, 14 miles per 2 hours = 7 miles per hour.
His position might be represented by the equation y = 7x +15.
The rate of change is 9, while the beginning value is 15.
When compared to Tasha's location function, her balloon began 10 miles from town and proceeded at a speed of 6 miles per hour.
As a result, the equation is y = 6x + 10.
The green line reflects, y = 7x +15
with coordinates (0,15), (1,22), (2,29)...till infinity.
And the blue line reflects, y = 6x + 10
with coordinates (0,10), (1,16), (2,22)...till infinity.
The green line is more inclined towards the y-axis which makes the fact clear that it is moving faster than the blue line.
As a result, Henry's balloons began their journey further out of town and traveled faster.
Read more about distance graphs at
https://brainly.com/question/21360487?referrer=searchResults
#SPJ1
What is the value of the expression −34 − 17 − (−22)?
A. 39
B. 5
C. −29
D. −73
[tex] = - 34 - 17 + 22 \\ = - 51 + 22 \\ = - 29[/tex]
THE ANSWER IS OPTION C.
Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Answer:
for x =
[tex]x = 5 - 2y \div 3[/tex]
for y =
[tex]5 - 3x \div 2[/tex]
PLEASE HELP QUICK !!
Answer:
The second option: f(x) = -(200/x)
Step-by-step explanation:
We can see that the input of the function is 20 and the output is -10. For the inverse, these values will swap: -10 will be the input and 20 will be the output.
Given that, we can substitute -10 into each equation and use trial and error to find out which one gives 20 as the output.
The first one, f(x) = -(0.5/x) will give an output of -(0.5/-10) = 1/20, which is incorrect.
The second one, f(x) = -(200/x) will give an output of -(200/-10) = 20, which is correct. Therefore, this must be the inverse. There will only be one inverse, so we don't need to try the rest.
Hafsa has planted a total of 40 plants in her new garden. 22 of these are flowering cacti. What percentage of the plants are flowering cacti?
Answer:
55%
Step-by-step explanation:
22 ÷ 40 × 100 = 55
Hope this could help you
