No, as long as you remember that distance is awlays zero or positive.
Define a function f : R → R by the formula
f(x) = 2x − 8.
Prove that f is one-to-one.
Let a, b is in R, and suppose that
f(a) = f(b).
Then
2a − 8 =
In triangle ∆PQR, C is the centroid.
a. If CY = 10, find PC and PY
b. If QC = 10, find ZC and ZQ
c. If PX = 20, find PQ
Find the area of the parallelogram shown below
Six less then two thirds of a number is negative ten what is the number
2/3X-6 = -10
2/3x = -4
x = -4 / 2/3 = -6
X = -6
check:
2/3(-6) - 6 = -4 -6 = -10 TRUE
Jessie received the following scores on her math tests this year. (45, 65, 70, 80, 85, 100) Suppose the teacher removes the lowest and highest scores. (65, 70, 80, 85) What are the interquartile ranges of Jessie’s original scores and her new scores?
Answer:
Interquartile ranges of Jessie’s original scores = 20
Interquartile ranges of Jessie’s new scores = 15
Step-by-step explanation:
Interquartile range IQR = Higher quartile (Q3) - lower quartile (Q1)
Where Q3 is the mid-value of the second half of a dataset and
Q1 is the mid-value of the first half of a dataset.
Original score = 45, 65, 70, 80, 85, 100
Q1 of original score:
First half of original score = 45, 65, 70
Therefore Q1 = 65
Q3 of original score:
Second half of original score = 80, 85, 100
Therefore Q3 = 85
:. Interquartile range IQR of original score = Q3 of original score - Q1 of original score
:. IQR = 85 - 65 = 20
New score = 65, 70, 80, 85
Q1 of new score:
First half of new score = 65, 70
Therefore Q1 = (65+70)/2 = 67.5
Q3 of new score:
Second half of new score = 80, 85
Therefore Q3 = (80 + 85)/2 = 82.5
:. Interquartile range IQR of new score = Q3 of new score - Q1 of new score
:. IQR = 82.5 - 67.5 = 15
Therefore:
Interquartile ranges of Jessie’s original scores = 20
Interquartile ranges of Jessie’s new scores = 15
5b-2=13 what does b equal
5b-2=13
add 2 to both sides
5b=15
divide both sides by 5
b = 15/5 = 3
b=3
Which expression is equal to 7(1+3)
A.) 7+21
B.) 7+3
C.) 1+21
D.) 7+4
I would say D. 7+4 because it is the only one that makes since to me
The sum of 5 consecutive integers is 505
505/5 = 101
so 101 is the middle number, now add the 2 below it and the 2 above it
99 + 100 + 101 + 102 +103 = 505
what is 1 and 6/24 simplified as ?
Determine the sign of cos pi divided by seven without using a calculator.
Answer:
The [tex]\cos \frac{\pi}{7}[/tex] has positive sign.
Step-by-step explanation:
we need to determine the sign of [tex]\cos \frac{\pi}{7}[/tex] without using calculator
Cartesian system ( shown in figure -1)
The angle [tex]\cos \frac{\pi}{7}[/tex] lies in quadrant-1 , Where angles are zero (0) to [tex]\frac{\pi}{2}[/tex]
and in first quadrant all trigonometric ratios has positive sign
so, [tex]\cos \frac{\pi}{7}[/tex] has positive sign.
A rectangular board is 1.8 meters long and 1.5 meters wide. What is the area of the board in square millimeters?
The area of the rectangular board is 2,700,000 mm².
Explanation:The subject of this question is Mathematics and it's likely suitable for a Middle School student. The question asks for the area of a rectangular board given specific length and width in meters, and requires the answer in square millimeters.
First, let's calculate the area of the rectangular board in square meters (m²) by multiplying the length and the width. So, 1.8 m * 1.5 m equals 2.7 m². Now, to convert the area from square meters to square millimeters (mm²), remember that 1 m² is equal to 1,000,000 mm². Therefore, the area of the board in square millimeters is 2.7 m² * 1,000,000 equals 2,700,000 mm².
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Three-fourths of the yard is covered in grass but 4/5 of the grass has died. How much of the yard has dead grass?
multiply the 2 together:
3/4 x 4/5 = 12/20 = 3/5 has dead grass
To find the area of the yard that has dead grass, multiply three-fourths (the grassy area) by 4/5 (the dead portion). Simplifying (3/4) × (4/5) gives us 3/5, which means 3/5 of the yard has dead grass.
To determine how much of the yard has dead grass, we need to calculate the portion of the yard covered in grass and then the fraction of it that has died. Given that three-fourths of the yard is covered in grass, we represent this as 3/4. It is known that 4/5 of this grass has died, hence we multiply the two fractions: (3/4) × (4/5).
Performing the multiplication of these two fractions:
Multiply the numerators: 3 × 4 = 12.Multiply the denominators: 4 × 5 = 20.Combine the products to form the new fraction: 12/20.Now, simplify the fraction 12/20 by dividing both the numerator and denominator by their greatest common divisor, which is 4:
Divide the numerator: 12 ÷ 4 = 3.Divide the denominator: 20 ÷ 4 = 5.The simplified fraction is 3/5.Therefore, the correct answer is that 3/5 of the yard has dead grass.
There are two numbers, which sum up to 53. Three times the smaller number is equal to 19 more than the larger number. What are the numbers
Jeff takes 20 mins to jog around the race course one time. And 25 mins to jog arpund second time. What is his average speed in kms per hr fpr the whole jog if the course is 3 kms long?
Which equation can be used to calculate the area of the shaded triangle in the figure below? A rectangle is shown with a width of 8 ft and a length of 14 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey. 2(14 + 8) = 44 square feet 1 over 2.(14 + 8) = 11 square feet 2(14 × 8) = 224 square feet 1 over 2.(14 × 8) = 56 square feet
Answer:
D) 1 over 2. (14 × 8) = 56 square feet
Step-by-step explanation:
You first need to look at the w x h formula (width x height).
W= 14
H= 8
14 x 8= 112
Then, you have to divide 112 by 2. The reason why is because 112 is the area of the whole rectangle, but you only need the area to the triangle, which is half of the rectangle.
112 ÷ 2= 56 sq. ft.
Therefore, the answer is D. Hope this helped!! <3
How to show numbers are related to each other
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
What is the sine value of pi over 6?
Answer:
The sine value of pi over 6 is:
[tex]\dfrac{1}{2}[/tex] or 0.5
Step-by-step explanation:
we have to find the value of [tex]sin\dfrac{\pi}{6}[/tex]
we know that value of [tex]sin\dfrac{\pi}{6}[/tex] is [tex]\dfrac{1}{2}[/tex]
Hence, the sine value of pi over 6 is:
[tex]\dfrac{1}{2}[/tex] or 0.5
5+1x10 is the answer 60 or 15? there are no parenthesis***
I WILL GIVE BRAINLIEST please answer both parts
If 365 work days are split among 12 employees evenly
PART: A How can you rewrite this as a fraction?
PART:B What does the fraction represent?
a pair of jeans cost 75% as much as a pair of corduroy pants what is the cost of each if the total cost for the jeans and courds is $42
j= jeans
c= corduroy
jeans = 0.75C
0.75 +c = 42
1.75c = 42
c = 42/1.75 = 24
jeans cost 24*0.75 = 18
corduroys cost $24
Jeans cost $18
Answer with Step-by-step explanation:
Let j denote the cost of jeans
and c denotes the cost of corduroy
A pair of jeans cost 75% as much as a pair of corduroy pants.
i.e. j = 0.75c
The total cost for the jeans and corduroy is $42
i.e. j+c=42
⇒ 0.75c+c=42
⇒ 1.75c=42
Dividing both sides by 1.75,we get
c=24
Putting value of c in j= 0.75c gives
j=18
Hence, Cost of jeans=$18
and cost of corduroy=$24
2n2-24n+72 factor completely
Use the Distributive Property to simplify each expression:
6(a + 10)
(5 + w)5
14(4f - 8)
2.1(5w -15)
0(3.7x - 4.21)
-(-m + n + 1)
6a + 60
5w + 25
56 f - 122
10.5 w - 31.5
0
m - n -1
What is the measure of angle 4?
The singing club keeps sheet music in files. Each file holds 12 sheets. Of all the club's music, 2/3 fit into 3 files. How many sheets of music does the club have?
The singing club has a total of 36 sheets of music.
Explanation:To find the total number of sheets of music the club has, we can set up a proportion using the given information. Since 2/3 of the club's music fits into 3 files, this means that 1/3 of the music fits into 1 file. So, if 1/3 represents 12 sheets, then 1 represents 12 * 3 = 36 sheets. Therefore, the club has a total of 36 sheets of music.
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If T is the point at a distance 3pi/5 from P(1, 0) on the unit circle with its center at (0, 0), in what quadrant does T lie?
Final answer:
The point T lies in the second quadrant of the unit circle when it is at an angular distance of 3π/5 from P(1, 0), because this angle falls between π/2 and π radians.
Explanation:
If T is the point at a distance 3π/5 from point P(1, 0) on the unit circle with its center at (0, 0), to determine in what quadrant T lies, we must consider where this angle places T on the unit circle.
Recall that a point on the unit circle has coordinates (x, y) = (cos θ, sin θ), where θ is the angle measured counterclockwise from the x-axis. An angle of 3π/5 radians is more than π/2 radians but fewer than π radians. Therefore, it falls in the second quadrant of the unit circle, where x-coordinates are negative and y-coordinates are positive.
Kayla has a tshirt store. she sold three times as many white tshirts as blue tshirts. she sold a total of 48 tshirts. How many white tshirts did kayla sell
Suppose you buy a movie for $12.98 the sales tax is 6% find the total cost
A pudding recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?
4 1/2 cups = 9/2 cups
9/2 / 1/3=
9/2 * 3/1 = 27/2 = 13 1/2 servings at 1/3 cup each
Answer:
13 1/2
Step-by-step explanation:Just trust
Dominique needs to solve the system of equations by graphing. Which statement is true about the system?
2x-3y=12
y=-3/5x+2
A)Both equations are in slope-intercept form.
B)Neither equation is in slope-intercept form.
C)The first equation is y= 2/3x-4 when written in slope-intercept form.
D)The second equation is 3x+5y=10 when written in slope-intercept form.
Answer:
Option C) The first equation is y= 2/3x-4 when written in slope-intercept form
Step-by-step explanation:
we have
[tex]2x-3y=12[/tex] ----> First equation
The first equation is in standard form
Convert to slope intercept form
Isolate the variable y
[tex]3y=2x-12[/tex]
Divide by 3 both sides
[tex]y=\frac{2}{3}x-4[/tex]
[tex]y=-\frac{3}{5}x+2[/tex] ----> Second equation
The second equation is in slope intercept form
Convert to standard form
Multiply by 5 both sides to remove the fraction
[tex]5y=-3x+10[/tex]
[tex]3x+5y=10[/tex]
Verify each statement
case A) Both equations are in slope-intercept form.
False
Because only the second equation is in slope -intercept form
case B) Neither equation is in slope-intercept form
False
Because, the second equation is in slope -intercept form
case C) The first equation is y= 2/3x-4 when written in slope-intercept form
True (see the procedure)
case D)The second equation is 3x+5y=10 when written in slope-intercept form.
False
Because, the second equation is 3x+5y=10 when written in standard form