Answer:
y intercepts are (0,3), x intercepts are (0.43, 0)
Step-by-step explanation:
I think that's correct I'm not to sure.
Find the scale factor of ABC to MNO.
Answer:
6/5
Step-by-step explanation:
The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.
Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:
Original Length BC = 15 in
New Length NO = 18 in
Scale factor =?
Scale factor = New lenght NO / Original length BC
Scale factor = 18 / 15
Scale factor = 6/5
Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.
4. If z, a+bi and z, c+di represent two complex numbers with real components a, b, c and d, then which of the following represents the coefficient of i in the product of z, and z,?
(1) ac-bd
(2) ad-be
(3) ab+cd
(4) be+ad
Answer:3
Step-by-step explanation:
Read the problem in the box below. Make a list to help you solve the problem,
The menu at Jestine's Restaurant has side dishes
and main dishes. The side dishes are Rice,
Potatoes and Vegetables. The main dishes are
Chicken, Fish and Beef. If you can order one side
dish and one main dish, how many possible
combinations are there?
A. 9 combinations
B. 6 combinations
C. 7 combinations
D. 12 combinations
Answer is A
Explanation:
Imagine you had a table with 3 rows and 3 columns. The rows represent the possible main dishes (Chicken, Fish, Beef) and the rows represent the side dishes (Rice, Potatoes, Vegetables).
The table has 3*3 = 9 cells inside it. Each inner cell represents a different combo the customer can order.
A group of three people are selected at random, what is the probability that all the three people have different birthdays.
Answer:
1:1
Step-by-step explanation:
this is because they are selected at random 3/3=1
what is the answer to this im having trouble figuring it out
Answer:
option c - 9.9
Step-by-step explanation:
The angle between a tangent to a circle and the radius at the point of contact is 90 degree.
So the triangle is a right angle triangle.
The side opposite the 90°, is the hypotenuse.
Using Pythagoras theorem:
[tex]16.5^2 = 13.2^2 + x^2\\\\16.5^2 - 13.2^2 = x^2\\\\x^2 = 272.25 - 174.24 = 98.01\\\\x = \sqrt{98.01} = 9.9[/tex]
Suppose the x-axis of a density graph represents someone's height in inches. If the area under the density curve from 60 inches to 70 inches is 0.75, what is the probability of someone's height being anywhere from 60 inches to 70 inches? O A. 75% O B. 65% C. 70% D. 60% SUBMIT
OPTION A 75% is the correct answer
Before you factor you should check what two things?
Answer:
I put all the steps to factoring, hopefully this helps! ^^
Step-by-step explanation:
-Check for common factors. If the terms have common factors, then factor out the greatest common factor (GCF) and look at the resulting polynomial factors to factor further.
-Determine the number of terms in the polynomial.
-Look for factors that can be factored further.
-Check by multiplying.
Find the value of x then tell whether the side lengths form a Pythagorean triple 6 , 10 , x
Answer:
Explanation:
Use the Pythagorean theorem (
a
2
+
b
2
=
c
2
)
Lets label the right triangle such that:
a
=
12
b
=
16
c
=
x
Thus,
12
2
+
16
2
=
x
2
144
+
256
=
x
2
400
=
x
2
√
400
=
x
20
=
x
So our missing side,
c
is
20
We can now say that the sides of our triangle are
12
,
16
,
20
I've included a link that lists a couple of Pythagorean triples (a couple because they are infinitely many).
Step-by-step explanation:
Hope it helpful
Answer:
Step-by-step explanation:
a^2+b^2=c^2
6^2+10^2=x^2
36+100=x^2
136=x^2
[tex]\sqrt{136[/tex] =x
2[tex]\sqrt{34[/tex] =x
Jasmine recorded the number of minutes she spent doing homework each day during the months of March and April
The box plot shows her data for March
March
0
5
10
15
20
25
30
35
40
45
50
Time Spent Doing Homework (minutes)
Her data for April is given in the table
0 5 10 15
20 25 30 30 30
30 30 30 30
35 40 40 40 45
45 45 45 50 50 55 60 65 65 75
Select all true statements about the data
DA Jasmine spent more minutes doing homework during the month of April.
B
The mean value
greater for the month of April
C. The median value is greater for the month of April
D. Based on the interquartile range, there is greater variability for the month of April
Answer:
Option A,B,C and D is correct
Step-by-step explanation:
As we can see , the data set for April month has longer time duration taken for completing homework as compared to the time taken during the month of April. Hence, option A is correct.
Option B is also correct because most of the instance of time taken for doing homework is greater for month of April as compared to the month of March
Median value for the month of march = 25 and median value for the month of April is (30+35)/2 = 32.5. Hence, Option C is correct
There is greater variability for the month of April. Hence, option D is correct
the scale of a map is 1/8 inch = 10 miles. If 2 cities are 3 inches apart on the map, he
e are the from each other?
Answer:
They are 240 miles away from each other
Find the volume of the rectangular prism below.
Answer:
I have two but im unsure
without fractioned to pie it is
1568
but with the [tex]\pi[/tex] fraction it is
499.11
Step-by-step explanation:
i need help asap i don’t get it
1
15
3x =
2
Circle the ratio
xiy
6:1
1:6
3:2
2:3
Question isnt well formatted :
Answer:
1 : 6
Step-by-step explanation:
Given the question :
3x = 1/2y
3x = y/2
Multiply both sides by 2
3x * 2 = y/2 * 2
6x = y
This can be interpreted as :
y = 6 times the value of x
x = y/6
x : y
1 : 6
Please someone help me. Thank you.
Answer:
Step-by-step explanation:
take x degree as reference angle
using tan rule
tan x=opposite/adjacent
tan x=6.1/5.1
tan x=1.19
x=[tex]tan^{-1}[/tex]1.19
x=49.95
x=50 degree
I need help
Cristina and Kori both leave the restaurant at the same time, but in opposite directions. If Kori travels 9 mph faster than Cristina and after 6 hours they are 186 miles apart, how fast is each traveling?
Carrie left the restaurant traveling 12 mph. Then, 4 hours later, Leah left traveling the same direction at 24 mph. How long until Leah catches up with Carrie?
Paige started biking to the mall traveling 8 mph, after some time the bike got a flat so Paige walked the rest of the way, traveling 5 mph. If the total trip to the mall took 8 hours and it was 46 miles away, how long did Paige travel at each speed?
Answer:
Question 1)
Cristina is traveling 11 miles per hour and Kori is traveling 20 miles per hour.
Question 2)
Four hours.
Question 3)
Paige spent two hours biking and six hours walking.
Step-by-step explanation:
Question 1)
Let Cristina's speed be x.
Kori travels 9 miles per hour faster than Cristina. So, Kori's speed is (x + 9).
After six hours, Cristina would have traveled 6x miles and Kori would have traveled 6(x + 9) miles.
Since Kori traveled in the opposite direction, we can place a negative to represent this. So, after six hours, Kori is -6(x + 9) miles away from the restaurant while Cristina is 6x miles away from the restaurant.
Since the distance between them is 186 miles, the difference of the two expressions is 186. Hence:
[tex](6x)-(-6(x+9))=186[/tex]
Distribute:
[tex]6x-(-6x-54)=186[/tex]
Distribute:
[tex]6x+6x+54=186[/tex]
Simplify:
[tex]12x=132[/tex]
Hence:
[tex]x=11[/tex]
Cristina's speed is 11 miles per hour. Thus, Kori's speed is 20 miles per hour.
Question 2)
Let h represent the amount of time that has passed in hours.
Carrie left the restaurant traveling 12 miles per hour.
Four hours later, Leah left traveling in the same direction at 24 miles per hour.
After four hours, Carrie would have traveled 12(4) = 48 miles.
Carrie would still be traveling at 12 miles per hour. So, her distance from the restaurant is given by:
[tex]12h+48[/tex]
Since Leah just left and is traveling at a rate of 24 miles per hour, her distance from the restaurant is given by:
[tex]24h[/tex]
Leah will catch up when the two expressions are equivalent. Hence:
[tex]12h+48=24h[/tex]
Solve for h:
[tex]12h=48\Rightarrow h=4[/tex]
Leah will catch up with Carrie in four hours.
Question 3)
Let x represent the amount of hours spent biking and y represent the amount of hours spent walking.
The total trip to the mall took eight hours. Hence:
[tex]x+y=8[/tex]
The mall is a total of 46 miles away. Since Paige bikes at a rate of 8 miles per hour and walks at a rate of five miles per hour:
[tex]8x+5y=46[/tex]
Solve the system. We can use elimination. Multiply the first equation by -5:
[tex]-5x-5y=-40[/tex]
We can add this to the second equation:
[tex]3x=6[/tex]
Hence:
[tex]x=2[/tex]
Using the first equation again:
[tex](2)+y=8\Rightarrow y=6[/tex]
So, Paige spent two hours biking and six hours walking.
What are the coordinates of the terminal point for 8 = 4pie/3?
9514 1404 393
Answer:
B
Step-by-step explanation:
(4π)/3 is a 3rd-quadrant angle with a reference angle of π/3 = 60°. This means both coordinates of the terminal point are negative, and the x-coordinate has the smaller magnitude. The only applicable choice is ...
B. (-1/2, -√3/2)
which of the following values are in the range of the function graphed below?
Answer:
f)0
Step-by-step explanation:
HELP PLEASE
Question: 1. Line segment AB has endpoints A(8, 3) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:2. 2. Line segment AB has endpoints A(6, 4) and B(2, 6). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.
Answer:
a) (6,4)
b) (5, 4.5)
Step-by-step explanation:
much like when you find them midpoint where you average the x-coordinates and the y-coordinates to find the midpoint coordinates, you'll do the same thing here.
to set context, a midpoint would break the segment into a ratio of 1:1.
so in the first part, a ratio of 1:2 means you are breaking the segment into 3-parts. So you'll do this for the coordinates:
[tex]x = \frac{8 + 2}{3} \: and \: y = \frac{3 + 6}{3} [/tex]
for the second part as the ratio is 1:3, you are breaking the segment into 4 parts.
[tex]x = \frac{6 + 2}{4} \: and \: y = \frac{4 + 6}{4} [/tex]
please help me do this i need it
Answer:
(x+1)(3x+2) is the answer
Answer:
Step-by-step explanation:
3x^2+5x+2
3x^2+(3+2)x+2
3x^2+3x+2x+2
3x(x+1)+2(x+1)
(3x+2)(x+1)
Point P is the center of the circle below. What is the exact area
of the shaded sector in terms of pi?
A. 16 pie units?
B. 48 pi units?
C. 120 pi units?
D. 192pi units
NEED HELP ASAP PLEASE
Answer:
[tex]Area =192\pi[/tex]
Step-by-step explanation:
Given
[tex]\theta = 120^o[/tex]
[tex]r =24[/tex]
Required
The area of the shaded sector
This is calculated as:
[tex]Area =\frac{\theta}{360} * \pi r^2[/tex]
This gives
[tex]Area =\frac{!20}{360} * \pi *24^2[/tex]
[tex]Area =\frac{1}{3} * \pi *576[/tex]
[tex]Area =\pi *192[/tex]
[tex]Area =192\pi[/tex]
For the sample standard deviation(s) for situations involving means, explain whether it affects the width of a confidence interval, the center of a confidence interval, neither, or both.
Answer:
Affects the width of a confidence interval, as the margin of error is a function of the sample standard deviation.
Step-by-step explanation:
When we have the standard deviation for the sample, the t-distribution is used to solve the question.
It does not affect the center of the interval, which is a function only of the sample mean.
Width of a confidence interval:
The width of a confidence interval is a function of the margin of error, which is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In which s is related to the sample standard deviation. Thus, since s and M are directly proportional, a higher standard deviation makes the interval wider, lower standard deviation makes the interval narrower, and thus, the sample standard deviation affects the the width of a confidence interval.
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
8 x 13 = 104 yd^2
Step-by-step explanation:
To find the area of a rectangle we use the basic formula:
L x W
In this case 13 is your width and 8 is your length, multiply the two given lengths to get your area which is 104.
The scores on an exam are normally distributed, with a mean of 82 and a standard deviation of 10. What percent of the scores are less than 62?
Answer:a
a
Step-by-step explanation:
i took the test
(–2) + 6 + 1 = 1 + 6 + (–2) =
Answer:
5=5
Step-by-step explanation:
Karen and Dale and Tom sent a total of 84 messages during the weekend. Dale sent six fewer messages and Karen and Tom sent four times as many as Karen. How many did they send each.
Answer:
Karen: 15; Dale: 9; Tom: 60
Step-by-step explanation:
"Karen and Dale and Tom sent a total of 84 messages during the weekend."
k + d + t = 84
"Dale sent six fewer messages than Karen"
d = k - 6
"Tom sent four times as many as Karen."
t = 4k
Substitute k - 6 for d and 4k for t in the first equation.
k + d + t = 84
k + k - 6 + 4k = 84
6k - 6 = 84
6k = 90
k = 15
d = k - 6 = 16 - 6 = 9
t = 4k = 4(15) = 60
Answer: Karen: 15; Dale: 9; Tom: 60
measure the bearing from b to a then bearing from a to b
Answer:
[tex]ax \: \: \: \: \: \: \: \:xb[/tex]
find the midpoint of A and B where A has tge coordinates (8, 5) and B has the coordinates (3, 7)
Answer:
[tex]midpoint = ( \frac{8 + 3}{2} , \: \frac{5 + 7}{2} ) \\ = ( \frac{11}{2} , \: \frac{12}{2} ) \\ = (5.5, \: 6)[/tex]
With sales tax, it costs $707 to buy a $700 dining room table. What is the sales tax
percentage?
Write your answer using a percent sign (%).
Answer:
1%
Step-by-step explanation:
707-700=7 tax
700 x tax percentage=7
tax percentage =7/700
Tax percentage= .01 0r 1%
What is the nth term rule of the linear sequence below?
22
,
18
,
14
,
10
,
6
,
.
.
.
Answer:
tn=a+(n-1)d
tn=22+(n-1)4
tn=22+4n-4
tn=4n+18
Find the circumference of a circle with diameter,
d
= 6cm.
Give your answer in terms of
π
.
Answer:
6π cm
Step-by-step explanation:
