Answer: 13 is a rational number
Step-by-step explanation: By definition, a rational number is a number q that can be written as a fraction in the form q=a/b where a and b are integers and b≠0. So, 1/3 is rational because it is exactly what you get when you divide one integer by another.
Calculate the sum of the first 50 terms in the sequence. 18, 21, 24, 27,
Answer:
[tex]sum = \frac{n}{2} (2a + (n - 1)d) \\ = \frac{50}{2} ((2 \times 18) + (50 - 1) \times 3) \\ = 25(36 + 147) \\ = 25 \times 183 \\ sum = 4575[/tex]
How many arc degrees are in the minor arc?
- 32.5 degrees
- 65 degrees
- 115 degrees
- not here
Answer:
115°
Step-by-step explanation:
x =180-65=115°
------
What is the area of this figure?
Answer:
627.
Step-by-step explanation:
32 x 10 = 320
27 x 9 = 243
16 x 4 = 64
add them up to get 627
I hope this helps!
Find the values of the variables
Answer:
[tex]x = 7[/tex]
[tex]y =16[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find x and y
From the sign on each line, we have:
[tex]y - 4 = x + 5[/tex]
[tex]2x + 5 = x + 12[/tex]
Collect like terms
[tex]2x-x=12 - 5[/tex]
[tex]x = 7[/tex]
We have: [tex]y - 4 = x + 5[/tex]
Substitute [tex]x = 7[/tex]
[tex]y - 4 = 7+5[/tex]
[tex]y - 4 = 12[/tex]
So:
[tex]y = 12+4[/tex]
[tex]y =16[/tex]
Figure A maps to figure B with a scale factor of 0.25
Answer:
x would be 6
Step-by-step explanation:
This is becuase since the scale factor from Fig A to B is 0.25, the length of all of the sides follows this rule.
Since x on Fig A and 1.5 on Fig B are corresponding sides, you can do:
x * 0.25 = 1.5
x * 0.25 (4) = 1.5 (4)
x * 1 =6
x = 6
Can someone tell me the answer
Answer:
-3
Step-by-step explanation:
(-6)/(+2)
-6/+2
-3
Answer:
C. -3
Step-by-step explanation:
If you have a negative and a positive number the outcome will always be negative. So you just simply take 6 and take half of it which is 3. if you divide something by 2 you are just splitting it in half.
A set of equations is given below:
Equation C: y = 7x + 12
Equation D:y=
= 7x + 2
Which of the following best describes the number of solutions to the given set of equations?
Answer:
The number of solutions to the given set of equations is 0.
Step-by-step explanation:
Number of solutions of a system of equations:
System of equations: ax = b
If a = 0 and b = 0, infinite solutions.
If a = 0 and b != 0, zero solutions.
If a != 0 and b != 0, one solution.
We are given the following system of equations:
y = 7x + 12
y = 7x + 2
So
7x + 12 = 7x + 2
7x - 7x = 2 - 12
0x = -10
a = 0, b != 0, so zero solutions.
The number of solutions to the given set of equations is 0.
Which transformations will map the figure onto itself?
a. reflection across one of the lines of symmetry of the figure.
b. rotation of 180 degrees about the center of the figure.
c. translation of two units to the left and two units down.
d. rotation of 90 degrees about the center of the figure.
Answer:
a. reflection across one of the lines of symmetry of the figure.
Step-by-step explanation:
Us Wer
What's more to do?
Task 1
Directions: Find the circumference of each circle. Use 3.14 for the value of it.
1.
3.
15 cm
34 in
C =
C-
4.
2.
300 mm
C =
C =
20 cm
5.
62 cm
C =
Answer:
Find answers below.
Step-by-step explanation:
The question isn't so complete but I would have to improvise so as to assist you.
Therefore, let's assume the values given are diameters of the circle.
However, if it's the radius, you'll just have to use the formula 2πr.
Given the following data;
Pie, π = 3.14
1. Diameter = 15 cm
Mathematically, the circumference of a circle (C) with diameter (D) = πD
C = 3.14 * 15
C = 47.1 cm
2. Diameter = 34 inches
C = 3.14 * 34
C = 106.76 inches
3. Diameter = 300 mm
C = 3.14 * 300
C = 942 mm
4. Diameter = 20 cm
C = 3.14 * 20
C = 62.8 cm
5. Diameter = 62 cm
C = 3.14 * 62
C = 194.68 cm
ASAP PLS HELP!!! Find the value of x
A)127
B)147
C)53
D)None of these answer
E)37
Answer:
should be C
Step-by-step explanation:
They are congruent
In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.
Which ordered pair is a solution of the system
x + 2y < -2 and y <-3x + 4
Where's the system? I can't answer your question without it.
Choose the correct equation for an arithmetic
sequence in which t(4) = 8 and t(10) = 32
-
Answer:
The equation is [tex]t(n) = -4 + 4(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The general equation for an arithmetic sequence is:
[tex]t(n) = t(1) + d(n-1)[/tex]
Taking the mth term as reference, the equation can be written as:
[tex]t(n) = t(m) + d(n-m)[/tex]
t(4) = 8 and t(10) = 32
The common difference can be found:
[tex]t(n) = t(m) + d(n-m)[/tex]
[tex]t(10) = t(4) + d(10-4)[/tex]
[tex]6d = 24[/tex]
[tex]d = \frac{24}{6} = 4[/tex]
So
[tex]t(n) = t(1) + 4(n-1)[/tex]
Finding the first term:
[tex]t(4) = t(1) + 4(n-1)[/tex]
So
[tex]t(1) = t(4) - 12 = 8 - 12 = -4[/tex]
So
The equation is [tex]t(n) = -4 + 4(n-1)[/tex]
please i need help fast with explantion
9514 1404 393
Answer:
60°
Step-by-step explanation:
You recognize the ratio of the long side to the short side as 2 : 1, so you know this is the 1 : √3 : 2 "special" triangle that has angles 30°, 60°, 90°. The angle of interest is opposite the longer side, so is the 60° angle.
x° = 60°
_____
In case you don't remember the "special" 30-60-90 and 45-45-90 right triangles, you can use the relevant trig function:
Cos = Adjacent/Hypotenuse
cos(x°) = 16/32 = 1/2
x° = arccos(1/2)
x° = 60°
Nikki had swim practice 4 days this
week. She swam 425 yards Monday and
450 yards Tuesday. She swam 100 less
yards Wednesday than she did Tuesday.
If Nikki swam 1,600 yards in all, how
many yards did she swim on Thursday?
Nikki swam 375 yards on Thursday.
what is addition?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
Given
Nikki swam 375 yards on Thursday.
425+450+350= 1,225
1,600- 1,225= 375
To learn more about addition refer to:
https://brainly.com/question/4721701
#SPJ2
PLEASE HELP! PICTURES BELOW! I AM CRYING AND FEEL USELESS PLLLLLLLEEEEEEEEAAAAAAAAAASSSSSEEEEEEEE
Answer:
y=x
Step-by-step explanation:
MARK ME BRAINLIEST PLZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzPLS PLS PLS HELP I WILL MARK BRAINLIEST :)))
Answer:
28.3
Step-by-step explanation:
the formula for area is πr²
where π is 3.14
r is 3
area= 3.14 x 3²
area= 3.14 x 9
area= 28.28 approximately 28.3
Which equation represents a line which is parallel to the y-axis?
a) x= 1/4y
b) x= -7
c) y= 2
d) y= x
Answer:
b) x = -7
Step-by-step explanation:
x = -7 is a vertical line
vertical lines are parallel to the y axis
One month Reuben rented movies and video games for a total of . The next month he rented movies and video games for a total of . Find the rental cost for each movie and each video game.
Can you say the total cost? There's not enough to go by to answer this.
Max wants to start a farm to grow mussels. He needs to determine the best environment for growing them. He is going to try two different amounts of salt in the water (salinity) and three different water temperatures. For his experiment he has 18 aquariums, each with 20 mussels. He wants to see which environment produces the largest mussels.
1. Identify the subjects.
2. Identify the factors and levels.
3. Identify the treatments.
4. Identify the response variable.
5. Describe an advantage to random assignment of treatment.
6. Explain how replication would be used in this study.
7. Someone suggested that Max arrange the tanks so that six with the lowest temperature are on one end of the room, and the six with the highest temperature are at the other end of the room. Explain how this could introduce confounding into the experiment.
8. Would it make sense to have a control group that did not get any of the treatments described above?
Answer:
1.) Subject = 18 Aquariums each with mussel
2.) Factors(levels) = temperature(3 levels) and salinity (2 levels)
3.) Treatment = High salinity high temperature ; High salinity low temperature ; High Salinity medium temperature ; Low salinity Low temperature ; Low salinity, High temperature ; Low salinity Medium temperature.
4.) Response variable = size of mussel produced
5.) Random assignment will help prevent the introduction of bias and confounding variable.
6.) For replication purpose, Each of the six treatment could be assigned to 3 tanks, so 3 aquarium for one treatment.
7.) By doing such we might be a possible location based effect which might might creep into our research. Hence, causing a spurious relationship.
8.) A control experiment whereby no salt is added will cause the mussel to die as they require salt to survive.
Step-by-step explanation:
Answers are Explanatory.
Re-write the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t be time). There are currently 400 cases of Bangkok flu, and the number is growing by 40 new cases every month.
Answer:
[tex]n(t) = 400 + 40 t[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] --- initial
[tex]r = 40[/tex] --- rate
Required
Write in mathematical notation
Using mathematical notation,in terms of n.
The given parameters can be rewritten as
[tex]n(0) = a[/tex]
[tex]n(0) = 400[/tex]
and
[tex]\frac{dn}{dt} = r[/tex]
[tex]\frac{dn}{dt} = 40[/tex]
The mathematical notation can be determined using:
[tex]n(t) = n(0) + \frac{dn}{dt} * t[/tex]
So, we have:
[tex]n(t) = 400 + 40 * t[/tex]
[tex]n(t) = 400 + 40 t[/tex]
Help me quickkkkkkk!!!!!!!!
Answer:
a) G
b) C
Step-by-step explanation:
Solve for x. Show your work.
Question 1 of 10
Which best describes the meaning of the statement "If A, then B?
A. If A is false, then B must be false.
B. If A is false, then B might be false.
ОО ОО
C. If A is true, then B might be true.
D. If A is true, then B must be true.
SUBMIT
Answer:
I believe it would be D
Step-by-step explanation:
Since it implies that if A is true, then B is true, it would be D.
"If A" implies that it can be both true or false, but "then B" implies that it must be B if A is true.
Hence my choice of D.
HELP PLEASE ITS TIMED WILL MAK BRAINLIEST
Answer:
0,1is domain,4,2is range
The population of the world in 1987 was 5 billion and the growth rate was estimated at3 percent per year.the population size (in billions) can be modeled by the formula A = 5(1.03)t where t is the number of years after 1987. Find the projected world population in 1995 . Give your answer in terms of billions of people.
Answer:
6.3 billion people
Step-by-step explanation:
[tex]A=5(1.03)^t[/tex]
The "base year" is 1987 when there were 5 billion people. That year corresponds to t = 0 (t measures years after 1987)
That makes 1995 = 1995 - 1987 = 8, so t = 8.
Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]
Solve each equation. Please help
Answer:
x = 14
Step-by-step explanation:
Write a equation that will represent the information.
Answer:
consider r to be x. and t to be y
[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]
Which number is the median of the data represented on the box-and-whisker plot?
10
20
30
40
50
60
70
80
90
O 30
37
O45
0 72
Given:
The box-and-whisker plot of a date set.
To find:
The median of the data represented on the box-and-whisker plot.
Solution:
In a box-and-whisker plot of a data set, the line inside the box represents the median of the data set.
In the given box-and-whisker plot, it is clear that the there is a line inside the box at 45. It means the median of the data represented on the box-and-whisker plot is 45.
Therefore, the correct option is C.
Answer:
C. 45
I got it right on my assignment
someone can help me ?
Answer:
[tex] \frac{3}{2} [/tex]
Step-by-step explanation:
I'm not sure how to answer this but try to put the "5's" in Fraction form as 5/1 and divide them with 15/2. Which would be 3/2
Ben rents a car for one day. The charge is $20 plus the $0.12 per mile. He wants to
Spend exactly $80. How many miles can he drive?
Answer: 0
Step-by-step explanation:
Answer:
500 miles
Step-by-step explanation:
20 + .12m = 80
.12m = 60
m = 60/.12
m = 500