Answer:
3
Step-by-step explanation:
Given the function : y = x/3 + 1
If an input value, x is given as 6 ;
Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y
Calculation goes thus ;
y = 6/3 + 1
y = 2 + 1
y = 3
Output, y = 3
Determine whether the series -20 + 100 - 500 + ... is convergent or divergent.
a. convergent
b. divergent
Please select the best answer from the choices provided
it's divergent, you can actually simplify this series by combining terms in pairs
Answer:
B
Step-by-step explanation:
practice on edg 2021
Algebraically, find the roots of x² - 4x - 5=0,
Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric consumption?
Answer:
30
Step-by-step explanation:
Subtract the 1023 reading from the 1053 one:
1053
-1023
---------
30
Her electric consumption was 30.
What is 6.23 billion in scientific notation?
Answer:
6.23 E9
Step-by-step explanation:
1 Billion = 1 E9
6.23 billion = 6.23 E9
Leave a thanks and mark brainliest if this helped.
Leave a thanks and mark brainliest if this helped.
Simplify:
3×5-1-(2² +6÷2)
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
3×5-1-(2^2+6÷2)
3×5-1-(4+6÷2)
3×5-1-(4+3)
3×5-1-7
15-1-7
14-7
7
An angle measures 56° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
118, 62
Step-by-step explanation:
We can set a system of equations where x and y are the two angles and x is the larger one
x+y=180
x-y=56
If we subtract the second equation from the first, we get 2y=124, simplifying that, we get y=62. Plugging it into either equation, we get x=118. We can check that 118 is 56 larger than 62, which it is. Thus, x=118, y=62.
Please helpp with thiss
1. Solve for x
4x + 7 - 3 = 4x + 2x - 3
2. Solve for x
2+5x-2x=9x+8x - 4
3. Solve for m.
3+ 4m - 2 + 2m = 5 + 6 - 3m
Step-by-step explanation:
4x+4=6x-3
4=2x-3
7=2x
x=3,5
3x+2=17x-4
2=14x-4
6=14x
x=3/7
6m+1=-3m+11
9m+1=11
9m= 10
m=10/9
When a system of two linear equations has no solution, how do the graphs of the equations appear?
Answer:
parallel lines that never intersect.
Step-by-step explanation:
When dealing with two linear equations that have no solution, it means that they usually have two variables and are part of a system of equations. Such an example would be the following two equations
2x - y = 2
4x - 2y = 8
These two equations would be part of the same system and they have no solution because there is no pair of values that will give a valid solution to both for the variables x and y. In a graph these equations would appear as parallel lines that never intersect. This is why no solution is found, because there is no intersection.
An experienced carpenter could build a house in 4 days. How much would he have finished if
he worked for 3 days?
Answer:
Percentage: 75%
Fraction: 3/4
Step-by-step explanation:
helppp me plsssssssss
Answer:
The class 35 - 40 has maximum frequency. So, it is the modal class.
From the given data,
[tex]\sf \:\:\:\:\:\:\:\:\:\:x_{k}=35[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k}=50[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42[/tex][tex]\sf \:\:\:\:\:\:\:\:\:\:h=5[/tex][tex] {\bf \:\: {By\:using\:the\: formula}} \\ \\ [/tex]
[tex]\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\ [/tex]
[tex]\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\ [/tex]
[tex]\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\ [/tex]
[tex]{\large{\frak{\pmb{\underline{Additional\: information }}}}}[/tex]
MODE
Most precisely, mode is that value of the variable at which the concentration of the data is maximum.MODAL CLASS
In a frequency distribution the class having maximum frequency is called the modal class.[tex]{\bf{\underline{Formula\:for\: calculating\:mode:}}} \\ [/tex]
[tex]{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\ [/tex]
Where,
[tex]\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.[/tex]
[tex] \small \blue{ \bigstar}[/tex][tex]\sf \: f_{k}=frequency\:of\:the\:modal\:class[/tex]
[tex]\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class[/tex]
[tex]\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class[/tex]
[tex] \small \purple{ \bigstar}[/tex][tex]\sf \: h= width \:of\:the\:class\:interval[/tex]
What are the x-intercepts of the graph of y= (x - 2) (x – 4)?
Answer: The x-intercepts of the parabola are (2,0) and (4,0).
Step-by-step explanation:
which set of ordered pairs could be generated by an exponential function
Answer:
Option C represents an exponential function
Step-by-step explanation:
Generally, we have an exponential function in the form ;
y = a.b^x
Where in fact, a is not 0
In this case, let us have a as 1 and b as 2
So we have;
for x = -1
y = 2^-1 = 1/2
for x = 0
y = 2^0 = 1
for x = 1
y = 2^1 = 2
for x = 2
y = 2^2 = 4
So the correct choice here is the third option
Help please! Im on my last question! 15 points.
Question below!
Answer:
n^2 + 12 = 61
-12 -12
n^2 = 49
Step-by-step explanation:
7 is your answer
7 x 7 = 49 + 12 = 61
Camila is working two summer jobs, making $10 per hour lifeguarding and $6 per hour walking dogs. Last week Camila worked 5 more hours lifeguarding than hours walking dogs and earned a total of $114. Write a system of equations that could be used to determine the number of hours Camila worked lifeguarding last week and the number of hours she worked walking dogs last week. Define the variables that you use to write the system.
Let L = the numbers of hours lifeguarding
Let D = the number of hours walking dogs
Camila makes $10 per hour lifeguarding, so in L hours she will make 10L dollars. Camila makes $6 per hour walking dogs, so in D hours she will make 6D dollars. The total amount earned 10L+6D equals $114.
Since Camila worked 5 more hours lifeguarding than hours walking dogs, she worked more hours lifeguarding, so if we add 5 to the number of hours walking dogs, we will get the number of hours lifeguarding, meaning L equals D+5.
10L+6D=114
L=D+5
1. A tourist sights the Hancock tower from the highway with an angle of elevation of 12°. If the
Hancock tower is known to be 1350 feet high, how far away is the tourist, to the nearest tenth?
Answer: [tex]6351.25\ ft[/tex]
Step-by-step explanation:
Given
Angle of elevation [tex]x=12^{\circ}[/tex]
Height of tower [tex]h=1350\ ft[/tex]
Suppose tourist is d feet away from the tower
from the figure, we can write
[tex]\Rightarrow \tan 12^{\circ}=\dfrac{1350}{d}\\\\\Rightarrow d=\dfrac{1350}{\tan 12^{\circ}}=6351.25\ ft[/tex]
Thus, the distance of tourist from the tower is [tex]6350.25\ ft[/tex]
12 + 6 − 4 ÷ (2 + 5)
A. Divide 4 by 2.
B. Add 2 and 5.
C. Add 12 and 6.
D. Subtract 4 from 6.
hey !! what's the answer ??
[tex] \sqrt{39 \times 13 \times 3} [/tex]
Answer:
39
Step-by-step explanation:
sqrt(39*13*13)
= sqrt(1521)
= 39
Substitute each given value of the variable to find which, if any, is a solution of inequality.
Given:
The inequalities are:
a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,
[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
After substituting the given values one by one, we get
[tex]-4.3<-8[/tex] False statement.
[tex]-5.3<-8[/tex] False statement.
[tex]-8.3<-8[/tex] True statement.
[tex]-9<-8[/tex] True statement.
Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].
b)
We have,
[tex]t>-25, t=-24, -25, -25.1, -27[/tex]
After substituting the given values one by one, we get
[tex]-24>-25[/tex] True statement.
[tex]-25>-25[/tex] False statement.
[tex]-25.1>-25[/tex] False statement.
[tex]-27>-25[/tex] False statement.
Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].
WILL REWARD BRAINIEST! A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm. Find the volume of the stone.
Answer:
102cm^3
Step-by-step explanation:
v=l×w×h
10x6x7=420 cm^3
the volume of water+stone=
10×6×(7+1.7)
522cm^3
522-420= 102cm^3
The solution is: the volume of the stone is : 102cm^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
Given that,
A right rectangular container is 6 cm wide and 10 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 1.7 cm.
We know that,
volume is :
v=l×w×h
so, we get,
10x6x7=420 cm^3
the volume of water+stone=
10×6×(7+1.7)
522cm^3
522-420= 102cm^3.
Hence, The solution is: the volume of the stone is : 102cm^3.
To learn more on volume click :
brainly.com/question/1578538
#SPJ2
Need help ASAP
work out the value of 4y + 3x when x=5 and y=-3
( these are the only answers I can choose from)
A.32
B.-32
C.17
D.11
All support appreciated:)
Answer:
3
Step-by-step explanation:
4y+3x
4(-3)+3(5) Plug the numbers into the equation.
-12+15
3
Hope this helps and have an amazing day! ❤
A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.
Answer:
it could either be 10.781 or 65.6, if not either of em then iam truly very sorry
Step-by-step explanation:
If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the pyramid
Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
The expression (x^3)(x^-17) is equivalent to x^n. What is the value of n?
Answer:
n = -14
Step-by-step explanation:
when multiplying bases, add their exponents
Ja'hones has pizza dough for making pizza. she separates the dough into three portions
listed below.
Portion A is 8.25 ounces
Portion B is twice as much as portion A
Portion C is twice as much as portion B
What is the weight, in ounces, of portion B and the weight, in ounces, of portion C?
Answer:
Portion B is 16.5 ounces.
Portion C is 33 ounces.
Step-by-step explanation:
Portion B.
8.25 * 2 = 16.5
Portion C.
16.5 * 2 = 33
Hope this helps! :)
What is the value of the third quartile of the box plot shown?
39
39
25
25
20
20
19
19
Hello, I Am BrotherEye
Answer: Here is an Example On How To Solve Your Problem.
Step-by-step explanation:
Explanation:
29
,
33
,
36
,
37
,
39
,
40
,
41
The minimum is the lowest number in the data set.
Since it is listed from smallest to largest, we know that the minimum is
29
.
The median is the middle number. Cancel out
3
numbers from each side and we are left with the median:
29
,
33
,
36
,
37
,
39
,
40
,
41
Therefore, the median is
37
.
The first quartile (Q1) is the median of the lower half of data which lies at 25% of the data.
Let's look at the lower half of numbers:
29
,
33
,
36
The number in the middle is
33
, so that is the first quartile.
The third quartile (Q3) is the median of the upper half of data which lies at 75% of the data.
Let's look at the upper half of numbers:
39
,
40
,
41
The number in the middle is
40
, so that is the third quartile.
The maximum is the highest number in the data set; it is
41
.
So here's the five-number summary:
Minimum: 29
First quartile: 33
Median: 37
Third quartile: 40
Maximum: 41
You can send 34 text messages in 12 minutes. How many minutes does it take you to send 68 messages?
Answer:
24
Step-by-step explanation:
34 messages per 12 minutes
68 is just 34 mulitplied by 2.
it would take you twice as long because there are twice as many messages.
12 minuted multipled by 2 is 24.
It would take you 24 minutes to send 34 messages.
Answer:
24 minutes
Step-by-step explanation:
34/12
68/x
34*2=68
12*2=24
Please help it's for my sister
What is the average rate of change between Hour 1 and Hour 4? QUICKLY
Answer:
2%
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
hi! just remember that you are amazing and everything will be okay! never give up! you got this just take a deep breath and remember your worth!
Answer:
thank you for this inspiration
Step-by-step explanation: