Answer:
number of terms=9
Step-by-step explanation:
[tex]t_{1}=6\\t_{5}=18\\\\t_{n}=t_{1}+(n-1)d\\18=6+(5-1)d\\18-6=4d\\4d=12\\d=12/4=3\\s_{n}=162\\s_{n}=\frac{n}{2}[2t_{1}+(n-1)d]\\162=\frac{n}{2}[2(6)+(n-1)3]\\162 \times 2=n(12+3n-3)\\324=n(3n+9)\\3n^2+9n-324=0\\n^2+3n-108=0\\n^2+12n-9n-108=0\\n(n+12)-9(n+12)=0\\(n+12)(n-9)=0\\n=-12,9\\n=-12 (rejected)[/tex]
as number of terms can't be negative.
Answer:
PLS MARK BRAINLIEST
Step-by-step explanation:
Sn = n/2(2a+(n-1)d)
a=6
a+ 4d= 18
6 +4d= 18
4d = 12
d = 3
162= n/2(12+(n -1)3)
324=n(12 + 3n-3)
324=12n + 3n^2 - 3n
3n^2 + 9n-324=0
3n^2+ 36n-27n -324 =0
3n(n+12) -27(n+12)= 0
3n-27 =0; n+ 12=0
n=9 ; n= -12
since n can't be negative n=9
The number of terms is 9
f(x)=2x^2-3x+7 evaluate f(-2)
Answer:
Step-by-step explanation:
Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?
Let p(x)=kpx+dp and q(x)=kqx+dq than
f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7
p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7
(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)
So you want:
−2kpk2q=0
and
kpkq=−1
and
2kpd2p−3kpdq+7=0
Now I amfraid this doesn’t work as −2kpk2q=0 that either kp or kq is zero but than their product can’t be anything but 0 not −1 .
Answer: there are no such linear functions.
Use the graph and the translation (x,y) (x+1,y+4) to answer parts a and b below
Answer:
Use the translation formula to determine the new points.
A' → ( 5 + 4, -8 + 2) = ( 9, -6 )
B' → ( 1 + 4, -1 +2) = ( 5, -1 )
C' → ( -7 + 4, -3 + 2 ) = ( 3, -1 )
A' = (9, -6)
B' = (5, 1)
C' = (-3, -1)
The segments shown below could form a triangle.
A
C
B
7
9
16
A. True
B. False
Answer:
that's a big false.
Step-by-step explanation:
9+7 =16 so your best try is just colinear points
59 out of 95 students are going on a field trip. What is the ratio of the number of students who are staying at school to the number of students who are going on the field trip?
Answer:
the answer i
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of x+2y=−4 .
Then plot the intercepts to graph the equation. Plzzz help
Answer: graph is in picture
Graph the line using the slope and y-intercept, or two points
Slope: −1/2
x y
0. −2
2. −3
—————-————————————
the x- and y-intercepts :
x-intercept(s): (−4, 0)
y-intercept(s): (0, −2)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
PLEASE I NEED HELP ON THESE 3 QUESTIONS
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
Which of these months had the lowest high temperature? (ignore this)
1. Write the three temperatures in order from least to greatest. Explain how you put the numbers in order.
2. Which month had the lowest high temperature?
3. Which month had the highest temperature?
Answer:
sorry explenation lang po kaya ko ☺ thanks for points
Step-by-step explanation:
Task
Here are the low temperatures (in Celsius) for one week in Juneau, Alaska:
Monday Tuesday Wednesday Thursday Friday Saturday Sunday
5 -1 -6 -2 3 7 0
Arrange them in order from coldest to warmest temperature.
On a winter day, the low temperature in Anchorage was 23 degrees below zero (in ∘C ) and the low temperature in Minneapolis was 14 degrees below zero (in ∘C ). Sophia wrote,
Minneapolis was colder because −14<−23.
Is Sophia correct? Explain your answer.
The lowest temperature ever recorded on earth was −89∘C in Antarctica. The average temperature on Mars is about −55∘C. Which is warmer, the coldest temperature on earth or the average temperature on Mars? Write an inequality to support your answer.
IM Commentary
The purpose of the task is for students to compare signed numbers in a real-world context. It could be used for either assessment or instruction if the teacher were to use it to generate classroom discussion.
Solution
Let’s begin by plotting them all on the same number line.
Sol_2_ec6fb38ef3896587f51b9afceb07f705
The number line has positive numbers to the right of zero and negative numbers to the left of zero. This means that numbers farther to the right are always greater than those to the left. In terms of temperature, the coldest temperature (the least number) is all the way to the left, and the warmest temperature (the greatest number) is all the way to the right.
We can now list the temperatures from coldest to warmest:
−7,−6,−2,−1,0,3,5
Sophia is incorrect. It is common for students to compare negative numbers as if they were positive and to assume that the one with the greatest magnitude is the greatest number. However, −23 is to the left of −14 on the number line, and so it is less than −14. Thus
−23<−14
and Anchorage was colder.
Again, the coldest temperature corresponds to the least number. So the warmest temperature corresponds to the greatest number. Since
−55>−89
the average temperature on Mars is warmer than the coldest temperature on Earth.
11=-5x-2 plzzzzzzzzzz help...
Answer:
-5x-2=11
+2
-5x=9
÷-5
x=1.8
Step-by-step explanation:
Answer:
x = -2.6
or x=-2 and 3/5
Step-by-step explanation:
Simplifying
11 = -5x + -2
Reorder the terms:
11 = -2 + -5x
Solving
11 = -2 + -5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '5x' to each side of the equation.
11 + 5x = -2 + -5x + 5x
Combine like terms: -5x + 5x = 0
11 + 5x = -2 + 0
11 + 5x = -2
Add '-11' to each side of the equation.
11 + -11 + 5x = -2 + -11
Combine like terms: 11 + -11 = 0
0 + 5x = -2 + -11
5x = -2 + -11
Combine like terms: -2 + -11 = -13
5x = -13
Divide each side by '5'.
x = -2.6
Simplifying
x = -2.6
Select ALL that could take P to Q:
Answer:
No question.
Step-by-step explanation:
Peyton has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and $16 per hour to work at the nursery. How many total hours does she work if she does 12 hours at the grocery store and 9 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?
Answer:
Total hours worked = 21
Total earned = 15gg + 16nn
Step-by-step explanation:
We know:
Grocery store: $15/hour
Nursery: $16/hour
Total hours worked = 12 + 9 = 21
Your expression would be:
Total earned = 15gg + 16nn
help, I'm so confused rn
Answer:
The answer is
→ [tex]-4 \frac{4}{35}[/tex]
Step-by-step explanation:
[tex]3\frac{2}{7} - 7\frac{6}{15}[/tex]
[tex]=\frac{23}{7} - 7\frac{6}{15}[/tex]
[tex]=\frac{23}{7} - 7\frac{2}{5}[/tex]
[tex]=\frac{23}{7} - 7\frac{37}{5}[/tex]
[tex]=\frac{-144}{35}[/tex]
[tex]=-4 \frac{4}{35}[/tex]
Therefore, [tex]-4 \frac{4}{35}[/tex] is your answer.
Hope this helped! :^)
⭐Brainliest will be appreciated!⭐
✉️Message me if you have any more questions!✉️
- ✨7272033Alt✨
Submitted on 4/16/2022 at 6:01 PM
(To avoid plagarism, by users whom decide to copy.)
What are the combining like terms ?
Answer: 6 + 3 − 9
− 3 + 3
-3+3m
3m-3
Step-by-step explanation:
Hey, guys, I did help. So I'm making my own video game for a science project and I need help coming up with my own video game. What should my video game be like? Make it simple. Also please don't report me because I'm doing this for a science project.
Who is the video game for? If its for gamers, make it something that a gamer would like. If its for people who need help with studies, make it educational. It all depends on the audience ;)
-Wolfie
The ______ is the number that is being repeated as a factor.
7) Why must the amount of hot chocolate (50 ml) be the same in both cups for the experiment to work?
Because the amount of hot chocolate is an independent variable and needs to stay consistent throughout the experiment
When the fraction below is written as a decimal, how many digits are in the smallest
sequence of repeating digits?
5/11
OA) 0
OB) 1
OC) 2
OD) 3
Answer:
5/11 = 0.45454545......
so, option c.
please someone help me. Im giving brainliest!
10x-45-4x-2
6x- 47= 1
6x=1+47
6x=48
x=8
PLEASE MARK BRAINLIEST
Answer:
10x-45-4x-2
6x- 47= 1
6x=1+47
6x=48
x=8
How do I find an overall grade?
My scores are:
27.92 out of 30
19.25 out of 17.5
21.88 out of 17.5
11.55 out of 17.5
13.65 out of 17.5
The two scores I got bonus questions right that's why I scored above.
Can you please explain how to get the answer so I can know how to solve!
I have 6 tests left is it still possible to get an A in this class?
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
A. 16 years old
B. 15 years old
C. 17 years old
D. 20 years old
Answer:
C.17 years old
Step-by-step explanation:
consecutive means that they come after each other
17+16+15=48
Trey is buying a computer on
sale. The origina Price was
4200. If the sale price is 5/6 of
the original Price . How much did
trey pay for the computer?
Answer:
3500
Step-by-step explanation:
To find a fraction of something just keep in mind that "of" means to multiply (when dealing with fractions and percents). In this case we want to know what 5/6 of 4200 is. So do (5/6)*4200 and that equal 3500.
What is 97 divided by 80257
10x-1/3y=15
solve for y
Answer:
[tex]y = \frac{10x - 1}{45} \\ [/tex]
Step-by-step explanation:
[tex] \frac{10x - 1}{3y} = 15 \\ 10x - 1 = 15 \times 3y \\ 10x - 1 = 45y \\ \frac{10x - 1}{45} = y \\ [/tex]
Please help me I really need your help ASAP
in order to find the answer to your questions you need to find the value
Example:
y+10=18
y=8
Skylar is going to drive from her house to City A without stopping. An equation that determines Skylar's distance from City A tt hours after leaving her house is D=120-30t. What is the x-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
The x-intercept of the function is 4 which represents the total time of the trip, in hours.
Step-by-step explanation:
Since Skylar was a distance of 0 miles from City A after 4 hours, the x-intercept of 4 represents how many hours it took Skylar to drive from her house to City A.
Have a good day :)
The x- intercept is 4 hours.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δxwhere,m is the slope
Given:
D=120-30t.
According to slope - intercept form
y= mx+ b
where m is the slope and b is the y intercept.
So, the x-intercept
0= 120- 30t
t= -120/ (-30)
t= 4
Hence, the x- intercept is 4 hours.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ5
Determine the coordinates of A(2,3) after a reflection in the line y=2
Answer:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection)
i need this pleaseeeee!!!!
(a) The population of a certain city decreased by 4000 people. Write a signed number to represent this population change.
and also b!!!!
Answer:
the answer is 0004..................
how to write a fraction percent as a decimal such as ⅜%:
write each percent as a decimal.
[tex] \frac{3}{8} \% \: as \: a \: decimal[/tex]
Answer:
as a decimal,, you just devide 3/8 then multiply by 100 it results to
37.5
Can you please help me!
Answer:
< 2 and < 6
< 3 and < 7
>> Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
Choose the property that justifies the first step of simplifying the expression below.
3(-2x+5)
Property
Step
3.-2x+3.5
y is inversely proportional to x2.
When x = 5, y= 16.
Find y when x= 10.
Since y is inversely proportional to [tex]x^2[/tex], the value of y, when x = 10 is 4.
Given the following data:
x = 5y = 16To find the value of y, when x = 10:
Mathematically, translating the inverse relationship between x and y, we have:
[tex]y \;\alpha\; \frac{1}{x^2} \\\\y \;= \frac{k}{x^2}[/tex]
Substituting the given parameters into the formula, we have;
[tex]16 = \frac{k}{5^2} \\\\k = 16 \times 25[/tex]
k = 400
Now, we can find the value of y, when x = 10:
[tex]y = \frac{400}{10^2} \\\\y = \frac{400}{100}[/tex]
y = 4
Read more: https://brainly.com/question/18676621
John is 5 feet 10 inches tall. There are 2.54 centimeters in 1 inch.
What is John’s height in centimeters?
25.4 cm
⊝
17.78 cm
⊝
177.8 cm
⊝
152.40 cm
Answer:
It would be 177.8 cm!!
Step-by-step explanation:
Answer:
177.8 CM
Step-by-step explanation:
70 x 2.54
= 177.8
