Answer:
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
Step-by-step explanation:
Given sequence is:
25, 21, 17, 13,...
Here
a1 = 25
a2 = 21
a3 = 17
First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.
So,
[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]
The explicit formula is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]
Hence,
The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]
solve the following inequality showing all steps -3n+7<4
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]
[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3
B
5y + 1
C
5y + 3
D
9y + 3
Answer:
C
5y + 3
Step-by-step explanation:
Use the figure to find the measure of the angle.Explain your reasoning.
angle2=180-152=28
angle3=28
angle4=152
angle5=152
angle6=28
angle7=28
angle8=152
The values of the marked angles: angle 2, angle 3, angle 4, angle 5, angle 6, angle 7, angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.
What is an angle?When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.
Given, angle 1 = 152°
We know, angle 1 + angle 2 is 180°. (supplementary angles)
Therefore, angle 2 = (180° - 152°) = 28°.
Again, angle 2 = angle 3. (opposite angles)
Therefore, angle 3 = 28°.
Similarly, angle 1 = angle 4
Therefore, angle 4 = 152°.
Now, angle 1 = angle 5 (corresponding angle)
Therefore, angle 5 = 152°.
Now, angle 2 = angle 6 (corresponding angle)
Therefore, angle 6 = 28°.
Now, angle 3 = angle 7 (corresponding angle)
Therefore, angle 7 = 28°.
Now, angle 4 = angle 8 (corresponding angle)
Therefore, angle 8 = 152°.
Learn more about an angle here: https://brainly.com/question/18129828
#SPJ2
which of the following are exterior angles? help!
Answer:
2, 4, 6
Step-by-step explanation:
Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.
Answer: 4
Step-by-step explanation:
Can someone please help me with this math problem I don’t understand it
Answer:
i need points
Step-by-step explanation:
i need points ,, hope you find your answer
CAN SOMEONE HELP ME ITS URGENT I NEED THIS ASAP
Answer:
1200
Step-by-step explanation:
1680/1050 = 1920/x
1680x = 2,016,000
x=1200
There are 1200 vertical pixels.
Step-by-step explanation:This is a ratio problem, which uses ratios to relate different items in the question. In a ratio problem, it's important to remember to
1) Write the items in the ratio as a fraction.
2) Make sure that you have the same items in the numerator and denominator.
→ Step 1:The first step is to assign variables. Let x = vertical resolution of the 23" monitor.
Write the items in the ratio as a fraction.
[tex]\frac{horizontal}{vertical} = \frac{1680}{1050} = \frac{1920}{x}[/tex]
→ Step 2:Solve the equation.
Cross multiply:
[tex]1680*x = 1920 * 1050[/tex]
[tex]1680x=2016000[/tex]
Isolate variable x:
[tex]x=\frac{2016000}{1680}[/tex]
[tex]x=1200[/tex]
There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour
Answer:
Total people on the tour will be: 105 people
Step-by-step explanation:
Total people on a mountain trail = 125Given that 84% of the people on the trail are on a hiking tour.
We need to determine how many people are on the tour.
All we need is to multiply 84% or 0.84 by 125.i.e.
People are on the tour = 84% × 125
= 84/100 × 125
= 0.84 × 125
= 105 people
Therefore, total people on the tour will be: 105 people
I don't understand math please help me
Answer: I cant really read the questions.
Step-by-step explanation:
List the following in order from least (top) to greatest (bottom).
6, 25, 27, V64, 764
Answer:
6
25
27
64
764
It's just ascending order, easy.
Solve for X: 6x+25=1
6x+25=1
move +25 to the other side
sign changes from +25 to -25
6x+25-25=1-25
6x=1-25
6x=-24
divide both sides by 6 to get x by itself
6x/6=-24/6
x=-4
answer: x=-4
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3
Answers above on the picture^ thank you:)
Answer:
#3
Step-by-step explanation:
Don’t understand pls help
Answer:
-1.5x + 3
Step-by-step explanation:
The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:
WHENS MY BDAY I SAID THIS
Answer:
reeee whenever it was happy bday ily by :)
draw a flowchart to calculate the average from 25 exam scores
Answer:
?
Step-by-step explanation:
18% of what number is 22?
Answer:122.222222
Step-by-step explanation: hope this helps
can i have brainliest?
Lisa received 34 text messages on Monday and 43 text messages on Tuesday. She received 98 text messages on Wednesday. How many more text messages did Lisa receive on Wednesday than on Monday and Tuesday combined?
Answer:
she received 21 more
Step-by-step explanation:
43 + 34 =77
98-77= 21
Hope this helps!!!
A retail store makes k% profit on the selling price. What is the least integer value of k that will enable the store to make a profit of at least 30% of the cost of the item?
Answer:
k = 23% profit on sale price is needed to ensure 30% profit on cost price
Step-by-step explanation:
Let sale price be = s , Profit = k% of s
Let cost price be = 100 , Profit = 30% of c
Cost price (c) + profit (p) = Sale price (s)
c + 0.3c = s
1.3c = s
Profit as a percentage of sale = (Profit / Sale) x 100
= (0.3c / 1.3c) x 100
= 23%
Assume that 12 jurors are randomly selected from a population in which 73% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.
0 0+
1 0+
2 0.0001
3 0.0007
4 0.004
5 0.0172
6 0.0542
7 0.1255
8 0.2122
9 0.2549
10 0.2068
11 0.1016
12 0.0229
Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=
Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=
Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?
no
yes
Answer:
I'm not sure if i'm correct but i'm guessing no
Step-by-step explanation:
PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.
1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1
Answer:
1. 1
2. -1
3. -3
4. 3
If you have any questions on the topic let me know. :)
Answer:
1. 1
2. -1
3. -3
4.3
Step-by-step explanation:
...
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.
Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex] )
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e
[tex]\bigg(^{27}_{4} \bigg)[/tex]
∴
The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]
[tex]= \dfrac{27!}{4!(27-4)!}[/tex]
[tex]= \dfrac{27!}{4!(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]
[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]
[tex]= \dfrac{421200}{24}[/tex]
= 17550 solutions
help neeeddded........
Answer:
D 7a - 11b
Step-by-step explanation:
9a- b -2a - 10b
7a - b -10b
7a - 11b
Answer:
I believe the correct answer is D.
Step-by-step explanation:
What is the special rule with multiplying or dividing an equality by a negative number?
answer the following correctly
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10Xander takes a quiz worth 150 points. Each question is worth 30 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answer:
If he missed five questions he can get a zero
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME ASAP
what is the value of the expression below (81^2)^1/8
[tex]\textsf{Hey there!}[/tex]
[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]
[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]
[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
Answer:
c
Step-by-step explanation:
because I said so " But rearle you cant start a sentence with because"
ok then, The answer is C because I said so
if two points are in a plane, then the line that contains them is
Answer:
...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
Step-by-step explanation: