Answer:
The answer is
[tex]3x + 2y = 7[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the perpendicular line we must first find the slope of the original line
From the question the original line is
2x - 3y = 3
Write the equation in the general form above
That's
3y = 2x - 3
y = 2/3x - 1
Comparing with the general equation above
Slope = 2/3
Since the lines are perpendicular to each other the slope of the perpendicular line is the negative inverse of the original line
Slope of perpendicular line = - 3/2
So the Equation of the line using point
( 1 , 2) and slope - 3/2 is
[tex]y -2 = - \frac{3}{2} ( x - 1) \\ 2y - 4 = - 3(x - 1) \\ 2y - 4 = - 3x + 3 \\ 3x + 2y - 4 - 3 = 0[/tex]
We have the final answer as
[tex]3x + 2y = 7[/tex]
Hope this helps you
Consider the strength data for beams given below :5.7 7.2 7.3 6.2 8.1 6.8 7.0 7.6 6.8 6.5 7.0 6.3 7.9 9.08.2 8.7 7.8 9.7 7.4 7.7 9.7 7.8 7.7 11.6 11.5 11.8 10.6Required:a. Construct a stem-and-leaf display of the data. What appears to be a representative strength value? Do the observations appear to be highly concentrated about the representative value or rather spread out?b. Does the display appear to be reasonably symmetric about a representative value, or would you describe its shape in some other way?c. Do there appear to be any outlying strength values?d. What proportion of strength observations in this sample exceed 10 MPa?
Answer:
(a) Shown below
(b) Positively Skewed
(c) No Outlier
(d) 15%
Step-by-step explanation:
Arrange the data set in ascending order as follows:
S = {5.7 , 6.2 , 6.3 , 6.5 , 6.8 , 6.8 , 7 .0, 7 .0, 7.2 , 7.3 , 7.4 , 7.6 , 7.7 , 7.7 , 7.8 , 7.8 , 7.9 , 8.1 , 8.2 , 8.7 , 9 .0, 9.7 , 9.7 , 10.6 , 11.5 , 11.6 , 11.8}
(a)
Construct a stem-and-leaf display of the data as follows:
5 | 7
6 | 2 3 5 8 8
7 | 0 0 2 3 4 6 7 7 8 8 9
8 | 1 2 7
9 | 0 7 7
10 | 6
11 | 5 6 8
The representative strength value is the mid-value.
The mid-value is: 7.7
Thus, the representative strength value is 7.7.
(b)
No, the data does not appear to be highly concentrated about the representative value or rather spread out.
As we take the stem-and-leaf plot into consideration we observe that most of the observations are concentrated towards the right of the graph.
So, the data is right or positively skewed.
(c)
No, there doesn't appear to be any outlying strength values.
This is because all the values are closer to each other and none of the observations are too extreme.
(d)
The number of observations more than 10 MPa is, 4.
Total number of observations, 27.
Compute the proportion of strength observations that exceed 10 MPa as follows:
[tex]P(>10\ \text{MPa})=\frac{4}{27}=0.14815\approx 0.15[/tex]
Thus, the proportion of strength observations that exceed 10 MPa is 15%.
During the first round of a game, Silas scores 15 points. He loses 30 points during the second round and gains 10 points during his final turn. What is Silas’ final score? A. –55 B. –25 C. –5 D. 55
Answer:
C. -5
Step-by-step explanation:
Imagine a number line from -15 to 15.
Start at 15, and go left for 30 hops, since we are subtracting. This gives us -15.
Now, start at -15. We go right for 10 hops since we are adding. Where do we land? -5. Thus giving us our answer.
Or you can do it this way:
15-30= -15
-15+10= -5
-5
I hope this helped!
224 fl oz equals how many gallons
Jens purchased a new ski jacked for $91. The Jacket was marked down 35%. What was the original price of the jacket?
Answer:
1.00-.35=.65
.65×140.00=$91.00
You are going shopping for some new sweaters, t-shirts, and pants. Sweaters (s) cost $29, t-shirts (t) cost $16, and pants (p)
cost $25. What algebraic expression models the total cost of clothes that you buy?
Suppose you bought 28 sweaters, 7 t-shirts, and 17 pairs of pants. How much did you spend?
Answer:
You spent $1349
Step-by-step explanation:
sweaters s = $29
t-shirts t = $16
pants p = $25
Cost = C
28s + 7t + 17p = C
28 ($29) + 7 ($16) + 17 ($25) = C
$812 + $112 + $425 = C
$1349 = C
What is the value of the dot shown on the number line below? If the answer is not a whole number, enter it as a fraction or mixed number. PLEASE HELP ME ASAP SCHOOL STARTS RN!
Answer:
-3.4 = (-17 /5) = -3 2/5
Step-by-step explanation:
Question 3 (1 point)
(03.06)
Choose the point slope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope of -3.
Answer:
Step-by-step explanation:
y -6 = -3(x + 1)
y - 6 = -3x - 3
y = -3x + 3
TRUE OR FALSE: When two lines intersect then they create 4 linear pairs
Each of the following are true with respect to Hypothesis testing except for:______.a. by failing to reject the null hypothesis, one has not proven that the alternative hypothesis is correctb. there are no exceptions, because all of the statements above are true.c. the statement of the alternative hypothesis always contains an equal signd. if the null hypothesis is not rejected, it does not mean the null is true
Answer:
b. there are no exceptions, because all of the statements above are true.
Step-by-step explanation:
Hypothesis testing refers to the method which is used to test the outcomes of the hypothesis. The result of the experiment conducted is analyzed whether or not the desired results are found. It helps in justifying and finding conclusions in the absence of the scientific theories about the conclusions. A null hypothesis is to be known by the individual before performing the Hypothesis testing.
Which of the following is a solution to the equation. X^2
x^2 -6x+5=0
A: -5
B: -1
C: =1/5
D: = 5
Answer:
x=1 or x=5
Step-by-step explanation:
x2−6x+5=0
Step 1: Factor left side of equation.
(x−1)(x−5)=0
Step 2: Set factors equal to 0.
x=1 or x=5
Natalie has 1/2 gallon of milk. She pours an equal amount of milk each of 8 glasses.
Answer:
there are 4 quarts in a gallon so therefore the glasses are half a quart
Step-by-step explanation:
yes
Which of the following is most likely the next step in the series? o O A. o o OB. O c. D.
=====================================================
Explanation:
The number of points goes down by 1 each time.
The first figure has 4 points on the circle. The second figure has 3 points, and after that is 2 points. So the fourth figure is mostly likely to have 1 point on the circle.
The next step in the circular series is Option C with a point on the circle
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the first figure be represented as A
A = figure with a rectangle with 4 points on the circle
Let the second figure be represented as B
B = figure with a triangle with 3 points on the circle
Let the third figure be represented as C
C = figure with a line with 2 points on the circle
Let the next series be represented as D
where D should have only 1 point on the circle
Hence , the figure is Option C with a point on circle
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need help −5x = 15 !!!!!!!!!!!!
Answer:
x = -3
Step-by-step explanation:
−5x = 15
-5x/-5 = 15/-5
x = -3
9+(-3)=______________
Answer:
6
Step-by-step explanation:
9-3=6
Since -3 is in (), you can just do 9-3 easily
Answer:
My answer to the question is 6.
9+(-3)=9-3=6.
Give a picture about real- life situation illustration percentage and decimals
Step-by-step explanation:
A good example that comes to find is the fuel gauge found on a car, this gauge allows the driver to monitor the percentage of fuel left in the car.
Let's assume the car fuel tank has a capacity of 100 liters. if the indicator is showing half-filled, to illustrate this in percentage it is written as 50% while decimal it will be 0.5.
Sally works as an estimator for G&J Electric. She has determined that 550 feet of electrical cable will be needed to wire a new house. Later, Sally is told that the
homeowner has decide to cut back from a three-car garage to a two-car garage, which will eliminate two branch circuits, one of 23 feet and the other of 34 feet. How
many feet of wire will be needed now?
Answer:34
Step-by-step explanation:
i just did it
Answer: the number of feet needed after the change is 493 Feet
Step-by-step explanation:
you’re welcome
The product of two whole numbers is 650 and their sum is 51. What are the two numbers?
Answer:
The numbers are 25 and 26.
Step-by-step explanation:
When you multiply 25 with 26 you get their product, 650. And when you add them you get the answer 51.
Show that the equation represents a circle and find its center and radius.
x2 + y2 +6y + 2 = 0
Answer:
Step-by-step explanation:
The general equation of a circle can be expressed as (x-a)²+(y-b)² = r² where (a,b) is the centre of the circle and r is the radius.
To show that the equation x² + y² +6y + 2 = 0 represents a circle, we need to write it in the format above using the completing the square method.
Given x² + (y² +6y) + 2 = 0
First we need to complete the square of the square in parenthesis by adding the square of half of the coefficient of y i.e [tex](\frac{1}{2}*6) ^2[/tex] to the equation and adding the constant to the other side of the equation as well.
x² + (y² +6y) + 2 = 0
[tex]x^2+(y^2+6y+(\frac{1}{2}*6) ^2)+2 = 0+(\frac{1}{2}*6) ^2\\x^2+(y^2+6y+(3) ^2)+2 = 0+3 ^2\\x^2+(y^2+6y+9)+2 = 0+9\\x^2+(y+3)^2+2 = 9\\x^2+(y+3)^2+2-2 = 9-2\\x^2+(y+3)^2 = 7\\(x-0)^2+(y+3)^2 = 7\\[/tex]
Hence the equation represents a circle with centre C at (0, -3) and radius of √7
There are 28 flowers in a bouquet. 7 of the flowers are tulips. What
percent of the bouquet are tulips?
Answer:
25%
Step-by-step explanation:
1.46 x 10^-7 in standard form
Answer:
0.00000014 x
Step-by-step explanation:
3z+2x+6 use z=9 and x=6
1.
The approximate total surface area of Earth is 5.1 x 108 km2. All the salt water on Earth has an approximate
surface area of 352,000,000 km2, and all the freshwater on Earth has an approximate surface area of 9 x 106 km?.
How much of Earth's surface is covered by water, including both salt and fresh water? Write your answer in
scientific notation.
Answer:
1,49 10^8 Km²
Step-by-step explanation:
What number is 23 percent of 556?
Answer:
127.88
Step-by-step explanation:
=>23/100*556
=>127.88
Answer:
127.88
Step-by-step explanation:
23 x 556 = 127.88
100
1 Point P(-12. 7) is reflected over the x-axis. What are the coordinates of P'?
Answer:
P prime would be (-12, -7)
3 sets of 6 boxes.What is 3 ÷ 5/6 ? three three and three-fifths three and three-sixths three and three-fourths
Answer:
3.6 or 3 3/5
Step-by-step explanation:
invert the 5/6 to 6/5 and multiply 3x6/5 which would get you 3 3/5
Answer:
the answer is b .
Step-by-step explanation:
the product of 9 and the sum of a number x and 12
Answer:
X * 12 = 9
Step-by-step explanation:
The required model of the given situation is given as y = 9 (x + 12).
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
the product of 9 and the sum of the number x and 12 is given as
Let the product is equal to y
y = 9 (x + 12)
Thus, the required model of the given situation is given as y = 9 (x + 12).
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Find the x ? Help please
Answer:
x=23
Step-by-step explanation:
In Texas, the coldest temperature ever recorded is -23 F. That's a lot chillier than in Florida, where the coldest recorded temperature is -2 F. How many degrees warmer is Florida's coldest recorded temperature than Texas's?
Answer:
21
Step-by-step explanation:
The answer is negitive 21 becuase it you sub and
After conducting some mathematical operations, we can conclude that Florida is warmer than Texas by 21°F.
What exactly are mathematical operations?In mathematics, an operation is a function that converts zero or more input values into a discrete output value. The number of operands in the operation determines how difficult it is. The order of operations refers to the rules that outline the sequence in which certain operations should be carried out in order to solve an expression. The following is the order of operations: parentheses, exponents, multiplication, division (from left to right), addition, and subtraction. PEMDAS (from left to right) (from left to right).
So, Florida is warmer than Texas by:
Florida's coldest temperature is -2°F.Texas's coldest temperature is -23°F.Now, calculate as follows:
23 - 221°FTherefore, after conducting some mathematical operations, we can conclude that Florida is warmer than Texas by 21°F.
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what is the answer to: (4x)(7y) + (x)(3y)=
Answer:
31xy
Step-by-step explanation:
28xy + 3xy = 31xy
What is the estimate sum of 709, 645, 798, 704 and 658
⇔·⇔
Answer:
3550
Step-by-step explanation:
Round each number: 709 ⇒ 700, 645 ⇒ 650, 798 ⇒ 800, 704 ⇒ 700, 658 ⇒ 700Add the rounded numbers: 700 + 650 + 800 + 700 + 700 Start slow: 700 + 650 = 13501350 + 800 = 21502150 + 700 = 28502850 + 700 = 3550I hope this helps!
Answer:
3550
Step-by-step explanation:
Round each number: 709 ⇒ 700, 645 ⇒ 650, 798 ⇒ 800, 704 ⇒ 700, 658 ⇒ 700
Add the rounded numbers: 700 + 650 + 800 + 700 + 700
Start slow: 700 + 650 = 1350
1350 + 800 = 2150
2150 + 700 = 2850
2850 + 700 = 3550