1. What is the vertex of the parabola?
Answer:
Step-by-step explanation: frost add the vertical and horizontal axis to find your nearest angle
Use the Euclidean algorithm to find ged(707, 413), and find integers s, t such that 707s + 413t = gcd (707,413). (b) Are there integers x, y such that 707x +413y = 9? If there are, give an example. If there are no such r, y, then prove it.
a) Using the Euclidean algorithm, we can find gcd (707,413) as follows:707 = 1 · 413 + 294413 = 1 · 294 + 119294 = 2 · 119 + 562119 = 2 · 56 + 71356 = 4 · 71 + 12 71 = 5 · 12 + 11 12 = 1 · 11 + 1
Thus, gcd (707,413) = 1.
We can find the coefficients s and t that solve the equation 707s + 413t
= 1 as follows:1 = 12 - 11 = 12 - (71 - 5 · 12) = 6 · 12 - 71 = 6 · (119 - 2 · 56) - 71
= - 12 · 56 + 6 · 119 - 71
= - 12 · 56 + 6 · (294 - 2 · 119) - 71 = 18 · 119 - 12 · 294 - 71
= 18 · 119 - 12 · (413 - 294) - 71 = 30 · 119 - 12 · 413 - 71
= 30 · (707 - 1 · 413) - 12 · 413 - 71 = 30 · 707 - 42 · 413 - 71
Thus, s = 30, t = -42. So we have found that 707(30) + 413(−42) = 1.
b) Since 707s + 413t = 1 and 9 does not divide 1, the equation 707x + 413y = 9 has no integer solutions. Therefore, we can conclude that there are no such integers x and y.
To know more about Euclidean visit :
https://brainly.com/question/3589540
#SPJ11
Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.0119? Select one: a. 1.26 b.2.26 C.-2.26 d. -1.26
The z-value is -2.26. Therefore, the correct option is (C).
Given that z is a standard normal random variable, the value of z if the area to the left of z is 0.0119 is -2.26. So, the correct answer is (C).
The area to the right of z is (1-0.0119) = 0.9881.
Using a standard normal distribution table or calculator, find the z value for an area of 0.9881.
We get z=2.26.
Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.
The area to the left of z is 0.0119. The area to the right of z is (1-0.0119) = 0.9881.
Using a standard normal distribution table or calculator, find the z value for an area of 0.9881. We get z=2.26.
Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.
Therefore, the z-value is -2.26. Therefore, the correct is (C).
To know more about calculator visit:
https://brainly.com/question/30151794
#SPJ11
6. Name a fraction larger than 1/2 and
smaller than 5/8
Answer:
3/5 works
Step-by-step explanation:
its in between 1/2 and 5/8
Answer:
it's 9/16 it is in between 1/2 and 3/4
Cho sells kakigori, a Japanese frozen dessert flavored with sweet syrup, at a street stand.
The scatter plot shows the daily high temperature and the number of servings of kakigori
Cho sells each day for 12 days. Based on a line of best fit for the data, about how many
servings of kakigori will Cho sell on a day when the high temperature is 29° Celsius?
Number of Servings Sold
115
110
105
100
95
90
85
80
75
70
65
60
55
50
0
18 19 20 21 22 23 24 25 26 27 28 29 30
Temperature (°C)
94
101
88
111
We can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.
Based on the line of best fit for the data, we can estimate the number of servings of kakigori Cho will sell on a day when the high temperature is 29° Celsius.
From the scatter plot, we can see that the line of best fit is increasing as the temperature increases.
By estimating the value on the line of best fit for the temperature of 29° Celsius, we can approximate the number of servings sold. Based on the scatter plot, it appears that the number of servings sold is around 100 when the temperature is 29° Celsius.
Therefore, we can estimate that Cho will sell around 100 servings of kakigori on a day when the high temperature is 29° Celsius.
Learn more about Scatter Plot here:
https://brainly.com/question/29231735
#SPJ1
50PTS 50 PTS (DONT explain just answer please)
Answer: 17
Step-by-step explanation:
Answer:
x = 17°
Step-by-step explanation:
The given angles are,
→ 6x + 8
→ 4x + 2
Now we have to,
→ find the required value of x.
Forming the equation,
→ (6x + 8) + (4x + 2) = 180°
{As two angles in a straight line is 180°}
Then the value of x will be,
→ (6x + 8) + (4x + 2) = 180°
→ 6x + 4x + 8 + 2 = 180°
→ 10x + 10 = 180°
→ 10x = 180° - 10
→ x = 170/10
→ [ x = 17° ]
Hence, the value of x is 17°.
Please use the information provided in your textbook page 290 and answer the following question:
Which of the following is the correct scatter-plot of variable y1 on the vertical axis versus variable x1 on the horizontal axis?
To identify the correct scatter plot for variables y1 and x1, you need to analyze the data and look for a clear pattern in the relationship between the two variables.
What is scatter plots?
A scatter plot is a type of data visualization that displays the relationship between two variables.
In a scatter plot, each point represents a pair of values, one for each of two variables. The horizontal axis represents the values of one variable (in this case, x1), and the vertical axis represents the values of the other variable (y1).
The scatter plot can show the relationship between the two variables. If there is a positive correlation, the points will tend to cluster in a line that slopes up and to the right. If there is a negative correlation, the points will cluster in a line that slopes down and to the right. If there is no correlation, the points will be scattered randomly.
To determine which scatter plot is correct, you need to examine the data and see which plot matches the pattern of the data. If there is a clear positive or negative correlation, the correct plot will show a line sloping up or down. If there is no correlation, the correct plot will show a scatter of points with no clear pattern.
In summary, to identify the correct scatter plot for variables y1 and x1, you need to analyze the data and look for a clear pattern in the relationship between the two variables.
To learn more about scatter plots from the given link:
https://brainly.com/question/13984412
#SPJ4
find the measure of
a. 71 degrees
b. 109 degrees
c. 180 degrees
d. 82 degrees
Answer:
71°
Step-by-step explanation:
Given;
<A=27°
<B=82°
<T=?
We add all angles and subtract it from 180 since an interior angle adds up to 180
<A+<B+<T=180
27°+82°+<T=180
109°+<T=180
<T=180-109
<T=71°
Therefore angle T <T is equal to 71°degrees
The truncated right circular cone has a large base radius 8 cm and a small base radius of 4 cm. The height of the truncated cone is 6 cm. How many are in the volume of this solid
This is known as a "frustum" of a cone
The volume is given by
pi * ( height / 3 ) ( R^2 + Rr + r^2)
Where R is the larger base radius and r is the smaller base radius
So we have
pi * ( 6/3) ( 8^2 + 8*4 + 4^2) =
pi * (2) ( 64 + 32 + 16) =
2pi * ( 112) =
224 pi cm^3 ≈ 703.7 cm^3
Volume is a measure of the occupied three-dimensional space. Often quantified numerically using SI units or various imperial units. Volume is a measure of the volume contained in an object. For example, if 100ml of water fills the rim of the cup, the capacity is said to be 100ml.
Volume can also be defined as the amount of space occupied by a three-dimensional object. In mathematics, "volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or closed surface. Volume units are cubic units such as m3, cm3, and in3. Volume is sometimes called capacity.
Learn more about volume here
https://brainly.com/question/12410983
#SPJ4
A right triangle has two side lengths of `10` and `15` units. What could be the length of the third side?
The possible length of the third side of the right triangle is approximately 18.027 units.
To determine the possible length of the third side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's denote the length of the third side as x.
According to the Pythagorean theorem, we have the equation:
x² = 10² + 15²
x² = 100 + 225
x² = 325
To find the possible length of the third side, we need to take the square root of both sides:
x = √325
Calculating the square root of 325, we find:
x ≈ 18.027
Therefore, the possible length of the third side = 18.027 units.
Learn more about right triangle here:
https://brainly.com/question/29869536
#SPJ11
Help me please
Can someone answer number 4 please?
Will give brainlest
The measures of angles 4 and 5 are:
∠5 = 104°
∠4 =76°
How to find the measures of the angles?On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.
Then we can write the sum:
∠1 + ∠2 = 180°
(3x + 5) + (2x + 10) = 180
5x + 15 = 180
5x = 180 - 15
x = 165/5 = 33
the measure of angle 5 is the same one of angle 1 then:
∠5 = (3*33 + 5)° = 104°
And angle 4 is supplementary of angle 1, then:
∠4 + 104° = 180°
∠4 = 180 - 104= 76°
These are the measures
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
Identify the percent of change as an increase or a decrease.
5/4 to 3/8
Responses
Increase
Increase
Decrease
Decrease
Question 2
Find the percent of change. Round to the nearest tenth of a percent if necessary.
The percentage of the change is 70% decrease
How to identify the percentage change as increment or decrementFrom the question, we have the following parameters that can be used in our computation:
Initial value = 5/4
Final value = 3/8
3/8 is less than 5/4
This means that the percentage is a decrease
What is the percentage change?We have
Initial value = 5/4
Final value = 3/8
The percentage change is then calculated as
Percentage change = (Final value - Initial value)/Initial value * 100%
Substitute the known values in the above equation, so, we have the following representation
Percentage change = (3/8 - 5/4)/(5/4) * 100%
Evaluate
Percentage change = -70%
Hence, the percentage change is 70% decrease
Read more about percentage change at
https://brainly.com/question/11360390
#SPJ1
need help to solve please
Answer:
\(\displaystyle m\angle RTU=73^\circ\)
Step-by-step explanation:
Interior Angle of a Circle
An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.
Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x is:
\(\displaystyle x=\frac{p+q}{2}\)
The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:
\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)
\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)
\(\boxed{\displaystyle m\angle RTU=73^\circ}\)
PLEASE HELP
I NEED HELP ASAP
Question in photo
Answer:
See below
Step-by-step explanation:
ΔABC has been flipped over, so we have a reflexion using line BC
So, the answer to 1. is line BC
The result is ΔE'F'D'
Now ΔE'F'D' is moved 4 units to the right. That is the answer to 2.
The result is ΔE"F"D"
Finally ΔE"F"D" is moved 1 unit down. That is the answer to 3.
The final result is ΔEFD
Ok. Did that help you?
Loch ness is the largest lake in Scotland.
The lake has a volume of water of 7.45x10^9 m^3.
The volume of water in Lake Superior is k times the volume of water in Loch ness.
Lake Superior = 8.21x10^10
Work out the value of k.
Give your answer correct to 3 significant figures.
Answer:
11.020
Step-by-step explanation:
vol of l.supe = k(lochness)
88.21 * 10^10 = k( 7.45 * 10^9)
divide and k =11.020
in fraction = 1642/149
Using the digits 1 to 9, at most one time each, fill in the boxes to make a product that equals 800,000,000
We have the following:
\((4\cdot10^5)\cdot(2\cdot10^3)=800.000.000\)Please help!! I will give brainliest.
Answer:
7.) 0.7
8.) 1
9.) 4.24
Step-by-step explanation:
Answer:
4.24
Step-by-step explanation:
Miguel measured a house and its lot and made a scale drawing. The backyard, which is 40 feet wide in real life, is 20 inches wide in the drawing. What scale did Miguel use? plz help
Answer:
Can you please post a picture?!
Step-by-step explanation:
Answer: Henge
Step-by-step explanation:
I got you boys ;)
Arthur get paid 74.75 for working 6.5 hours how much do Arthur get paid per hour
Arthur gets paid 11.5 per hour if Arthur gets paid 74.75 for working 6.5 hours.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Arthur gets paid 74.75 for working 6.5 hours.
The amount earned by Arthur = 74.75
A number of hours = 6.5 hours
The earning per hour = 74.75/6.5 per hour
The earning per hour = 11.5 per hour
Thus, Arthur gets paid 11.5 per hour if Arthur gets paid 74.75 for working 6.5 hours.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ1
Please help!
Question:
The space Needle is 605 feet tall. A model of the building is 15 inches tall. What is the ratio of the height of the model to the height of the actual Space Needle?
Answer Choices:
A- 12:484
B- 1:484
C- 484:12
D- 484:1
Answer:
The ratio they are asking for is Model height to actual height. Rewritten that is:
Model Height: Actual Height
So the ratio after plugging in numbers is;
15:605
Ratios can be simplified by dividing both sides.
Both numbers are divisible by 5.
Therefore the ratio is;
3:121
(this is the simplest form of the ratio because 121
is not evenly divisible by 3)
Now, that is not an answer you can select,
however you can also multiply both sides by theKalius Call be simple by uviuiny po siues. Both numbers are divisible by 5.
Therefore the ratio is;
3:121
(this is the simplest form of the ratio because 121 is not evenly divisible by 3)
Now, that is not an answer you can select, however you can also multiply both sides by the same number. Take 4 for example (I'm choosing 4 because 3*4=12)
12:484
Sally is serving lemonade to four friends. She is serving 4/7 cup per person.
Estimate how much lemonade she needs. Then calculate exactly how much she needs. What is the difference between the estimate and actual amount?
pls help, :)
Answer:
oi ngl levi is hawt I like your pfp ^^
Step-by-step explanation:
my name is Riley
How many and what type of solutions does 5x2−2x+6 have?
1 rational solution
2 rational solutions
2 irrational solutions
2 nonreal solutions
Answer:
2 nonreal solutions
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 (a ≠ 0 )
then the nature of the roots are determined by the discriminant
b² - 4ac
• if b² - 4ac > 0 then 2 real and irrational solutions
• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
5x² - 2x + 6 = 0 ← in standard form
with a = 5 , b = - 2 , c = 6
b² - 4ac
= (- 2)² - (4 × 5 × 6)
= 4 - 120
= - 116
since b² - 4ac < 0
then there are 2 nonreal solutions to the equation
A map of an island is shown on a half-centimeter grid,
where A, B, and Care houses.
The actual distance between A and B
is 960 meters.
a) Work out the scale on the map
Give your answer as 1:n
Answer:
The answer is below
Step-by-step explanation:
A map can either be scaled up or scaled down. If the map is enlarged then it is scaled up and hence represented by n:1, where n > 1. While is the map is reduced, it is scaled down and is represented by 1 : n, where n < 1.
Since one box has a length of 1 cm by 1 cm. The distance between A and B is 4 boxes = 4 cm = 0.04 m
Hence the scale is given as 1:n, where n > 1. n is gotten from:
n = 960 m / 0.04 m = 24000
Therefore the scale is 1 : 24000
Answer:
1:48000
Step-by-step explanation:
960m=96000cm
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
From a group of 5 math majors and 4 computer science majors a committee consisting of 3 math majors and 2 computer science majors is to be formed. One math major and one computer science major refuse to serve together. If the committee is randomly selected, what's the probability they wind up on the committee together?
The probability that the one math major and one computer science major who refuse to serve together wind up on the committee together is 3/7.
The probability that the one math major and one computer science major who refuse to serve together wind up on the committee together, we can consider two cases:
Case 1: The math major who refuses to serve is selected.
In this case, we need to select 3 math majors from the remaining 4 math majors and 2 computer science majors from the 4 computer science majors who are willing to serve together. The probability of this case can be calculated as:
P(case 1) = (4 choose 3) × (4 choose 2) / (9 choose 5)
Case 2: The computer science major who refuses to serve is selected.
In this case, we need to select 3 math majors from the 5 math majors who are willing to serve together and 2 computer science majors from the remaining 3 computer science majors. The probability of this case can be calculated as:
P(case 2) = (5 choose 3) × (3 choose 2) / (9 choose 5)
To find the overall probability, we need to sum up the probabilities of both cases:
P = P(case 1) + P(case 2)
Calculating the probabilities:
P(case 1) = (4 choose 3) × (4 choose 2) / (9 choose 5) = (4 × 6) / 126 = 24 / 126 = 4 / 21
P(case 2) = (5 choose 3) × (3 choose 2) / (9 choose 5) = (10 × 3) / 126 = 30 / 126 = 5 / 21
P = P(case 1) + P(case 2) = 4/21 + 5/21 = 9/21 = 3/7
To know more about probability click here :
https://brainly.com/question/10185463
#SPJ4
Sketch the set of points in space satisfying the cylindrical coordinate conditions (1≤r≤2),(0≤θ≤π/2),and(1≤z≤2).
A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.
What is cylinder ?
A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.
The cylindrical coordinate conditions can be expressed mathematically as:
1≤r≤2
0≤θ≤π/2
1≤z≤2
These conditions define a cylinder with radius 1 and height 1 located in the first octant of the xyz-plane. The cylinder has its center at the origin (0,0,0) and its height extends from z = 1 to z = 2. The angle θ ranges from 0 to π/2, meaning that the cylinder is restricted to the first quadrant in the xy-plane.
A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.
To learn more about cylinder visit : brainly.com/question/16134180
#SPJ4
Several classes in your school are going on a field trip. To transport the students, the teachers rent buses and vans. A total of 120 students are going on this field trip. Each bus can seat 24 students, and each van can seat 8 students. (a) Write a linear equation that describes the relationship of the number of buses and the number of vans needed, assuming exactly 120 students need transportation. (b) If the teachers rent 4 buses, how many vans will they need to transport all the students? (c) If the teachers rent 6 vans, how many buses will they need to transport all the students? (d) Suppose the teachers rented only vans. How many vans would they need? Show your work, and explain your answer. (e) Suppose the teachers rented only buses. How many buses would they need? Show your work, and explain your answer.
a) A linear equation that describes the relationship between the number of buses and the number of vans needed for 120 students is 24x + 8y = 120.
b) If the teachers rent 4 buses, the number of vans they will need to transport all the students is 3.
c) If the teachers rent 6 vans, the number of buses they will need to transport all the students is 3.
d) If the teachers rent only vans, the number of vans needed will be 15.
e) Suppose the teachers rented only buses, the number of buses needed will be 5.
What is a linear equation?A linear equation is an algebraic equation of the form y = mx+b.
A linear equation involves a constant and a first-order (linear) term, with m as the slope and b as the y-intercept.
The total number of students on the field trip = 120
The number of students a bus can seat = 24
The number of students a van can seat = 8
Linear equation:Let the number of buses = x and the number of vans = y
24x + 8y = 120
b) Renting 4 buses, the number of vans needed:
24(4) + 8y = 120
96 + 8y = 120
8y = 24
y = 3
c) Renting 6 vans, the number of buses will be:
24x + 8(6) = 120
24x = 48 = 120
24x = 72
x = 3
d) Renting only vans, the number needed will be:
24(0) + 8y = 120
8y = 120
y = 15
e) Renting only buses, the number needed will be:
24x + 8(0) = 120
24x = 120
x = 5
Learn more about linear equations at https://brainly.com/question/28732353
#SPJ1
i like fire i like to watch things burn
can anyone agree
Answer:
i like to melt straws with my lighter and make it into different shapes
Step-by-step explanation:
Answer:
sameeeeee
Step-by-step explanation:
ellen plans to leave an 18 percent tip withher 23.75 lunch bill
Answer:
23.75/100*118=28.025
You divide by a 100 to find 1%
Answer:
$4.27
I hope this helps!!!
Complete the equation so that it has no solution 9(x-4)-5x=
Answer:
9(x-4)-5x=
open brackets
9x-36-5x=0
relate with similar expressions
note,when negative crosses the equal sign,it becomes positive
9x-5x=36
4x=36
x=9