Answer:
B
Explanation:
The north is opposite to the south
So the vector [tex]j[/tex] represents 1 mile per hour south.
Maria is jogging south at 12 miles per hour.
Therefore, the vectors [tex]12j[/tex] represents Maria's velocity. The correct answer is B.
The vector used to represent the position of Maria is -12j.
What is Vector?A measurement with a magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position, while having magnitude and direction.
Given:
vector i represents 1 mile per hour east
and, vector j represents 1 mile per hour north
Now, the position of north is opposite to south
Now, Maria is jogging south at 12 miles per hour.
So, the vector used to represent the position of Maria is -12j.
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Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 9) would represent a height of 9 inches after 0 hours.
A function assigns the values. The list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The rate at which the candle burns down is 0.5 inches per hour. Now, if we substitute the value of the point (0,9) in the function of a line, and the rate as well, we will get,
y = mx +c
9 = -0.5(0) + c
c = 9
Now, the equation that can represent the height of the candle at any hour after it is lit will be,
y= -0.5x+9
substitute the value of x as 1, 2, 3, 4, 5, and 6 to get the value of y and form ordered pairs.
y=-0.5(1)+9 = 8.5 inches ⇒ (1,8.5)y=-0.5(2)+9 = 8 inches ⇒ (1,8)y=-0.5(3)+9 = 7.5 inches ⇒ (1,7.5)y=-0.5(4)+9 = 7 inches ⇒ (1,7)y=-0.5(5)+9 = 6.5 inches ⇒ (1,6.5)y=-0.5(6)+9 = 6 inches ⇒ (1,6)Hence, the list of 6 ordered pairs to show the height of the candle inches are (1,8.5), (1,8), (1,7.5), (1,7), (1,6.5), and (1,6).
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The polygon has six sides. find the length of each side of the polygon
Answer:
question is incomplete,there must be something else too
Step-by-step explanation:
i hope this help you and have a great day
Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution for X is given in the table.
A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.
What is the probability that the hens lay more than two eggs?
0.07
0.12
0.88
0.95
The probability that the hens lay more than two eggs is 0.80
How to determine the probability?The probability that the hens lay more than two eggs is calculated using:
P(x > 2) = P(3) + P(4) + P(5) + P(6)
Using the data on the table, we have:
P(x > 2) = 0.12 + 0.30 + 0.2 +, 0.18.
Evaluate the sum
P(x > 2) = 0.80
Hence, the probability that the hens lay more than two eggs is 0.80
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Answer:
C. 0.88
Step-by-step explanation:
you just add all the probabilities for more than 2 eggs
0.12 + 0.30 + 0.28 + 0.18 = 0.88
The box plot below shows the total amount of time, in minutes, the students of a class surf the Internet every day:
A box plot is shown. The left-most point on the plot is 20 and the right-most point is 95. The box is labeled 35 on the left edge and 60 on the right edge. A vertical line is drawn inside the rectangle at the point 55.
Part A: List two pieces of information that are provided by the graph and one piece of information that is not provided by the graph. (4 points)
Part B: Calculate the interquartile range of the data, and explain in a sentence or two what it represents. (4 points)
Part C: Explain what affect, if any, there will be if an outlier is present. (2 points)
The information that provided by the graph are median and the range. The information that cannot be gotten from the graph is the mode.
The interquartile range is 25.
The outlier would distort the value of the median and mean.
How can a box plot be interpreted?The information that can be derived from the box plot are the minimum value, maximum value, range, median, first quartile and third quartile.
The interquartile range is the difference between the first quartile and third quartile.
Interquartile range = 60 - 35 = 25
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Answer:
PART A: You cannot find the mode from the box plot. However, you can find the mean, median, and the range along with outliers.
PART B: 60-35=25 This is the interquartile range.
PART C: The outliers will cause the mean into increase.
Step-by-step explanation:
The region r is enclosed by the curves y=4-4x2 and y=0
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0 is 16/3 or 5.333 square units.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The region r is enclosed by the curves y₁ = 4 - 4x² and y₂ = 0
The intersection points will be
y₁ = y₂
4 - 4x² = 0
x = ±1
Then the area bounded by the curves will be
[tex]\rm Area = \int _{-1}^1 (y_1- y_2) dx\\\\Area = \int _{-1}^1 (4 - 4x^2) dx\\\\Area = \left [ 4x - \dfrac{4x^3}{3} \right ]_{-1}^1\\\\Area = 4 \left ( 1 + 1 \right ) - \dfrac{4}{3} \left ( 1^3 - (-1)^3 \right )\\\\Area = 8 - \dfrac{8}{3}\\\\Area = \dfrac{16}{3} = 5.333 \[/tex]
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find the length of YZ
Answer: 11.42
Step-by-step explanation: Pythagorean Theorem
Answer:
11.42
Step-by-step explanation:
3,4,5 and 8,3,sqrt(55)
around 11.42
What inequality does the number line show
x>3
Inequalities with one variable are plotted on a number line, with the output representing the solution to the inequality. A number line is used to graph a linear inequality with only one variable. Two-dimensional graphs plot linear inequalities with two variables because the output gives the solution to both variables.
Answer:
x>3
Step-by-step explanation:
on a number line, an open circle indicates that the given value (3) isnt included and you would use < or >. a closed (filled in) means that the given value is included and u would use ≤ or ≥. the direction of the arrow (left of right) indicates if the values will be greater than or less than the value indicated by the circle (3). Here, the arrow is pointing right meaning that the values are getting larger until infinity starting at 3 (3 isnt included because of the open circle)
A square has a side length of 7 ft. Find the area of the square in feet.
Answer:
49 ft²
Step-by-step explanation:
The sides of a square are all the same. This means if one of the sides is 7 ft then the others will be too.
To work out the area you have to times two of the sides together.
7x7=49
anyone knows the answer?!
Answer:
x = 3
Step-by-step explanation:
the axis of symmetry is a vertical line passing throught the vertex with equation
x = c ( where c is the value of the x- coordinate of the vertex )
vertex has coordinates (3, - 1 ) with x- coordinate 3 , then
equation of axis of symmetry is x = 3
Answer:
Your Answer is D. x = 3
Step-by-step explanation:
The axis of symmetry is x = 3.
I have copied your graph to appear to be this equation.
y = 2 * (x-3)^2 - 1
The Brittle Bird Store prepares bird-seed blends by mixing sunflower seeds and millet and packaging them in 5-pound bags for sale. Sunflower seed (s) is regularly sold for $1.75 per pound, and millet (m) is sold for $2.50 per pound. The mixture is sold for $11.60.
How many pounds of sunflower seed does the mixture contain?
3.8 pounds
3 point 8 pounds
1.2 pounds
1 point 2 pounds
2.9 pounds
2 point 9 pounds
2.1 pounds
Answer:
Hai! saya dari Indonesia! salam kenal yaa ^^ oh ya maaf tidak bisa menjawab pertanyaan kamu ^^
What is the inverse of y = x2 + 16
Answer:
[tex] {y}^{ - 1} = \sqrt{x - 16} [/tex]
Step-by-step explanation:
To find the inverse of this function, we make "x" the subject of the equation .[tex]y = {x}^{2} + 16 \\ {x}^{2} = y - 16 \\ x = \sqrt{y - 16} [/tex]then we interchange "y" and "x" .[tex]hence \: the \: inverse \: is \\ {y}^{ - 1} = \sqrt{x - 16} [/tex]pls help asap first correct answer gets brainleist
Answer:
72 m^2
Step-by-step explanation:
0.5 x 9 x 16 = 72
hope this helps
have a good day
The table shows the rainfall in four towns on the same day.
Town
Morristown 3 9/16
Brighton 3 5/16
Pine Grove 3 13/24
Springfield 3 8/12
Which town had more rain, Brighton or Springfield? Morristown or Pine Grove?
Answer:
Springfield trust me it is the only one that makes sense
A faucet is leaking at a rate of 0.8 gallon per hour. Can you write a rule to find the volume of water that will leak in 3 hours.
4
Which symbol makes this statement true?
18 - 3 x 6 4 = 4
A X
B
C
+ 1
D +
Answer:
18-3×6+4=0
18-18+4=0
0+4=4
it is completely right(+) is the correct symbol
please help me on this my moms really mad at me
A spinner is divided into 8 identical sectors and labeled 1 through 8.
How many spins are expected for a multiple of 3 to be spun 6 times?
The spinner is expected to have to spin approximately ______ times for a multiple of 3 to be spun 6 times.
Question 8 options:
12
16
24
48
Answer:
The answer is 12
Step-by-step explanation:
1-8(6)
The multiples of 3 would be 3 and 6.
3 and 6 are found 12 times within those 6 spins
For one spin
Sample space ={1,2,..,8}So
|S|=8Elements which are multiple of 3
3,6So
Total probability
2/8=1/4Now
For 6 spins
Total time spins as multiple of 3
2(6)=12 timesKevin has 17 trading cards. Billy has more trading cards than Kevin. Choose the expression that shows how many trading cards Billy has.
A. t
B. t+17
C.17-t
D.t-17
Answer:
t + 17
Step-by-step explanation:
it’s this because, t + 17 = more than what Kevin has t = 17 I’m assuming which is why it’s B. Or t + 17.
Natalia paid $38.95 for three medium-sized pizzas and a salad. if Natalia paid $11.98 for the salad, which equation can be used to find how much did each pizza cost?
A. 3m + $11.98 = $38.95
B. 4m + $11.98 = $38.95
C. 3m + $38.95 = $11.98
D. none of these
PLEASE HELP!!
Answer:
A
Step-by-step explanation:
$38.95 for 3 m size pizzas and a salad
38.95 = 3m + 11.98
Answer:
3m+$11.98=$38.95
Step-by-step explanation:
$11.98=one salad ,
3m=The price of three medium-sized pizza &
$38.95=The price of three medium-sized pizza & a salad
classify 24 as a polynomial by degree and number of terms
PLEASE PLEASE I NEED THIS
the number changes by the degree so you need to multiply it.
The annual commissions per salesperson employed by a retailer of mobile communication devices are normally distributed, and averaged $40,000, with a standard deviation of $5,000. what percent of the salespersons earn between $32,000 and $42,000?
Using the normal distribution, it is found that 60.06% of the salespersons earn between $32,000 and $42,000.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 40000, \sigma = 5000[/tex]
The proportion of salespersons that earn between $32,000 and $42,000 is the p-value of Z when X = 42000 subtracted by the p-value of Z when X = 32000, hence:
X = 42000:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{42000 - 40000}{5000}[/tex]
Z = 0.4
Z = 0.4 has a p-value of 0.6554.
X = 32000:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{32000 - 40000}{5000}[/tex]
Z = -1.6
Z = -1.6 has a p-value of 0.0548.
0.6554 - 0.0548 = 0.6006 = 60.06%.
60.06% of the salespersons earn between $32,000 and $42,000.
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Answer: 60.06% of the salespersons earn between $32,000 and $42,000.
I don't know what the answer is
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=9\\ s=9.7 \end{cases}\implies 9.7=\cfrac{\theta \pi (9)}{180}\implies 9.7=\cfrac{\theta \pi }{20} \\\\\\ 194=\theta \pi \implies \cfrac{194}{\pi }=\theta \implies 62\approx \theta[/tex]
Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:
Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95
Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?
please help ASAP. dont put wrong answers. people who have flvs and got a 100 on this pleasezanswer
The patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
What is erosion?It should be noted that erosion simply means the washing away of the top soil.
In this case, the patterns shown by the erosion data measurements is that Western Beach is losing sand while Dunes beach is gaining sand.
The years when the beaches have approximately the same width will be between 11 and 12 years.
Assuming these rates remain constant, to get a better approximation of when the two beaches will have the same width, one can plot the data against time and draw a curve that goes through the data.
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please help. please i beg.
Answer:
Step-by-step explanation:
Don't make life difficult with decimals. First multiply both sides with 10 to get rid of decimals.
10 (3x^2 + 2.5x) = 10 (12.5)
30x^2+ 25x = 125 (now rearrange to write in quadratic form)
30x^2 + 25 x - 125 = 0 (now we know a = 30, b= 25, c = -125)
Final answer x = 5/3 , -5/2
Sally is older than Jenny. The sum of their ages is 45 and the difference is 9. Find the ages of Sally
and Jenny
Answer:
Sally is 27
Jenny is 18
Step-by-step explanation:
using algebra:
x+(x-9)= 45
x+x-9
2x-9=45
2x-9+9=45+9
2x=54
54÷2=27
Sally = 27
27-9 = 18
Jenny = 18
This should be it!
hope this helps :)
Answer plsss my cousin need it!:(
Answer:
Step-by-step explanation:
For a graph, put the bottom(x) with the teachers and the side(y) with the number of students. Maybe that kind of helps? You can choose how you want to space out the numbers on the side
Step-by-step explanation:
a pie chart is a circle with differently sized pizza slices designating how many or how much in every category in relation to the whole (the full circle).
a full circle = 360°.
the listed teachers together have obviously 200 students.
that means 200 is the whole, and correlates to 360° (everything takes the whole circle).
20 students for Michelle means then 20 of 200 :
20/200 = 1/10 = 360/10 = 36°
38 students for Rose Grace.
38/200 = 19/100 = 19×360/100 = 0.19 × 360 = 68.4°
28 students for Melanie.
28/200 = 7/50 = 7×360/50 = 7×36/5 = 50.4°
36 students for Joy.
36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°
42 students for Josephine.
42/200 = 21/100 = 21×360/100 = 21×36/10 = 75.6°
36 students for Daisy.
36/200 = 9/50 = 9×360/50 = 9×36/5 = 64.8°
you need to draw a circle with the sectors having the listed degrees. of course, you round to the nearest full degree.
if done right, these sectors fill the whole circle.
Find the slope of the graphed line.
Multiple choice question.
A)
4/3
B)
3/4
C)
−4/3
D)
−3/4
Answer:
3/4 shall be our slope.
Step-by-step explanation:
You can solve the slope by doing this formula y₂ - y₁ / x₂ - x₁ = slope.
Your coordinates:
(-4,0) and (0,3)
You have to set up your formula:
3 is the y2 and 0 is the y1
3-0 for y so far.
Now, set up the x's
0 is our x2 more known as our second x
Then our x1 is -4
0 - (-4).
Our Formula:
3-0 / 0+4
**Notice the negatives canceled to a positive due to the rule.**
3/4 shall be our slope.
You could've also risen and run starting from (-4,0) to (0,3) to get a slope of 3/4.
Landon draws a quadrilateral that is not a rhombus. which features could her quadrilateral have?
choose each correct answer. 4 sides
4 square corners
sides that are all the same length
2 sets of opposite sides that are the same length
sides that are all different lengths
sides that are all the same length
plssss i need help
ASAPP
Answer:
1 ) 1 cubic centimeter = 0.000001 cubic meters
2 ) 4 cubic meters = 4000000 centimeters
3 ) 948 cubic meters = 948000 liters
Step-by-step explanation:
1 )
Conversion
1 centimeter = 0.01 meters
1 cubic centimeter
= 0.01 x 0.01 x 0.01
= 0.000001 cubic meters
72 cubic meters
= 72 x 0.000001
= 0.000072 cubic centimeters
2 )
Conversion
1 meter = 100 centimeter
1 cubic meter
= 100 x 100 x 100
= 1000000 cubic centimeters
4 cubic meters
= 4 x 1000000
= 4000000 centimeters
3 )
Conversion
1 cubic meter = 1000 liters
948 cubic meters
= 948 x 1000
= 948000 liters
What is an equation of the line that passes through the points (-5, -1) and
(5, -3)?
The answer is
[tex]y = - \frac{1}{5} x - 1.2[/tex]
or you can replace -1/5 with -0.2
follow the procedures in the attachment please.
Dr. Strauss has a bottle that contains 18 ounces of medicine. How many one-fourth ounce doses are in 18 ounces?
Answer: 72 one-fourth ounce doses in 18 ounces
Step-by-step explanation:
1/4's in 1 is 4.
18x4=72