The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.
An arithmetic sequence has a constant difference (d) and is defined by
a(n) = a(1) + (n-1)d ----------- (1)
Here a(1) = 33, a(2) = 25, a(3) = 17
d = a(2) - a(1)
d = 25 - 33 = -8
Substitute the values in (1)
a(n) = 33 + (n-1)(-8)
a(n) = 33 - 8n + 8
a(n) = -8n + 41 ------------- (2)
We have to find a(4) and a(5)
Substitute n = 4 in (2), we get
a(4) = -8(4) + 41 = -32 + 41 = 9
Substitute n = 5 in (2), we get
a(5) = -8(5) + 41 = -40 + 41 = 1
Hence the next two terms are 9, 1.
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10x-6=5y
Tttttttgfffffffffffffffd
Answer: I am guessing that you want to know what x and y equals
can someone help me really quick
If the price of apples are proportional, the value of p is $6.75.
What is the value of p?If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.
The function that represents the cost of purchasing apples is:
Total cost = cost per apple x number of apples bought
$4.50 = 6c
c = $4.50 / 6
c = $0.75
The price of 9 apples is p
p = 9 x $0.95
p = $6.75
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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the value of p.
For 6 Apples the price is $4.5
We need to find for 9 apples.
For 9 apples the price is p, which we have to find
Let us form a equation to find it.
6/4.50=9/p
Apply cross multiplication
6p=4.5(9)
6p=40.5
Divide both sides by 6
p=6.75
Hence price of 9 apples is $6.75.
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₁ d 4. Ca are not to scale): 3,4 cm 37 mm 3,2 cm 4,3 cm b) 0.3. Calculate the perimeter of the polygons in centimeters
What is the probability of landing on a number greater then 5 and then landing on a number greater then 4
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the formula for calculating probability
[tex]Probability=\frac{number\text{ of required outcomes}}{number\text{ of total possible outcomes}}[/tex]STEP 2: Find the probability of landing on a number greater than 5
[tex]\begin{gathered} Pr(greater\text{ than 5\rparen}=Pr(6\text{ and above\rparen} \\ Pr(greater\text{ than 5\rparen}=Pr(6)=\frac{1}{4} \end{gathered}[/tex]STEP 3: Find the probability of landing on a number
-3+n ≥ -4n-3 or 3n-4≥4n + 1
Answer:
-3+n ≥ -4n-3
Step-by-step explanation:
its good to use a number for n
if n = 5
-3+n ≥ -4n-3 or 3n-4≥4n + 1
for
-3+n ≥ -4n-3
-3+5 ≥ -4(5)-3
-2 ≥ -20-3
-2 ≥ -23
true
for
3n-4≥4n + 1
3(5)-4≥4(5) + 1
15-4≥20 + 1
11 ≥20 + 1
11 ≥21
not true
q - r - 3s = p solve for q
Answer:
q = p + r + 3s
Step-by-step explanation:
q - r - 3s = p solve for q
q - r - 3s = p
add r to both sides:
q - r - 3s + r = p + r
q - 3s = p + r
add 3s to both sides:
q - 3s + 3s = p + r + 3s
q = p + r + 3s
6. Which of the following facts, if true, would allow you to prove that lines I and m are parallel? (1 point)
5/6
7 8
m22-m23
m27+m28=180*
Om24-m25
m26+m22=180°
1
3
4
2
m
Answer:
The first 3 answers
Step-by-step explanation:
∠2 and ∠3 are vertical angles which means they are congruent. That would then make ∠1 and ∠4 congruent.
∠7 and ∠8 = 180 means that is a straight line.
∠4 and ∠5 are alternate interior angles which make them congruent.
That would then mean ∠3 and ∠4 = 180 which is a straight line because ∠3 would then be a corresponding angle to ∠7.
10 gal to quarts ? qt
40 quarts
Explanation
to figure out this we need to know the equivalence
[tex]1\text{ gal=}4\text{ quarts}[/tex]therefore, to convert gal into quarts jus multyply by 4
so
[tex]\begin{gathered} 10\text{gal}=\text{ 10gal}\cdot4(\frac{quarts}{gal}) \\ 10\text{gal}=40\text{ quarts} \end{gathered}[/tex]so, the answer is
40 quarts
I hope this helps you
the sides of a rectangle are in the ratio 4:5.If the breadth is 10cm find the length of the rectangle
Answer:
If breadth means width then it will be 12.5
5 Let A(-2,5) and B(5,0) be the endpoints of AB. What is the length of the segment?
The equation for finding the length between two points is:
[tex]l\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).
We assign A to be point 1 and B be point 2
Therefore,
[tex]\begin{gathered} l\text{ = }\sqrt[]{(0_{}-5_{})^2+(5_{}-(-2)_{})^2} \\ l\text{ = }\sqrt[]{(-5)_{}^2+(7_{})^2} \\ l\text{ = }\sqrt[]{25+49^{}} \\ l\text{ =}\sqrt{\text{74}} \end{gathered}[/tex]what is the answer to 8x= - 44 ?
We need to solve the following equation for x:
[tex]8x=-44[/tex]To isolate x, we divide both sides
please fill in the missing
According to Table B, There is a series that is being followed next, i.e.,
m = (m+1) * (m-1)
In the given data,
Input is 5, then given output is 6 * 4, similarly
Input is 10, then given output is 11 * 9 which implies that
Output is the products of one more than input and one less than input
⇒5 = (5+1) * (5-1)
⇒5 = 6 * 4
again with 15 = (15+1) * (15-1) ⇒ 16 * 14
with 300 = (300+1) * (300-1) ⇒ 301 * 299
At last, we can construct a series from these data,
m = (m+1) * (m-1)
Where m is input and (m+1) * (m-1) is output of data.
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cards are drawn from a deck (52 cards) until the first spades comes out. the eighth card drawn is the first spade. what is the probability the next card drawn is the ace of spades?
Probability that an ace is pulled from the deck = A/T=4/52=1/13
52 cards are there in all.
Four aces are found in all of the card A's.
Thirteen spades in all.
Probability that an ace is pulled from the deck = A/T=4/52=1/13
likelihood that a spade will be the next card drawn =S/T=13/52=1/4
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A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
What is the slope of the line x=4?
O A. 0
O B. Undefined
O C. 4
• D.1
Answer:
B. Undefined
Step-by-step explanation:
x = 4 is a vertical line, and vertical lines are Undefined because they go straight up.
If the point C (-6, 9) is reflected over the y-axis, the coordinates of C’ would be ________.
Answer:
C' (6, 9 )
Step-by-step explanation:
under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
C (- 6, 9 ) → C' (6, 9 )
Select the correct answer.
Which of these graphs represents a function?
A. W
B. X
C. Y
D. Z
Answer:
The second graph (B: X?)
Step-by-step explanation:
The second graph (B?) is a function because the graphed line passes the vertical line test (no two points are vertically on top of each other).
María compro dos boletos para una rifa con dis números
rosa compró 4 boletos calcular la
probabilidad de cada una de ganar
Answer:
translate to eng
Step-by-step explanation:
How do you find ratios?
For example, if there are 5 blue balls and 7 red balls. the ration of the blue balls with the red balls is
[tex]5\colon7[/tex]it can also be written as a fraction :
[tex]\frac{5}{7}[/tex]It is important to put the one that was mentioned first in the numerator. in this case is blue ball, that's why 5 came first. If we are asked what is the ratio of the red balls with the blue balls , then we will have to indicate 7 first. The ratio will have to be
[tex]\begin{gathered} 7\colon5 \\ or \\ \frac{7}{5} \end{gathered}[/tex]The sequence is important.
Two studies were done on the same set of data, where study a was a two-sided test and study b was a one-sided test. The p-value of the test corresponding to study a was found to be 0. 40. What is the p-value for study b?.
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, assuming that the null hypothesis is true.
Therefore, the p-value for study b exists 0.080.
What is meant by p-value?The P value is the likelihood, for a particular statistical model, that the statistical summary would be either equal to or more extreme than the actual observed results if the null hypothesis were to hold.
In a two tailed test the probability of occurrence exists the total area beneath the critical range of values on both the sides of the curve (negative side and positive side)
Therefore, the probability values for a two tailed test as compared to a one tailed test exists given by the under given relation -
[tex]$p-\text { value }=P\left(Z < -\frac{\alpha}{2}\right)+P\left(Z > \frac{\alpha}{2}\right)$$[/tex]
simplifying the above equation, we get
[tex]$P \frac{\alpha}{2}=0.040$[/tex]
Substituting the given value in above equation, we get -
Probability values for a two tailed test
= 0.040 + 0.040
= 0.080
Therefore, the p-value for study b exists 0.080.
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Let f: R - {2} => RX => f (x) = (3x + 4) / (x-2)Is F a bijection?
A function is called bijective if it is one-to-one and onto.
To check one to one, let x1 = x2 , where x1, x2 belongs to R.
so, we can say that:
[tex]3x_1+4=3x_2+4[/tex]and
[tex]x_1-2=x_2-2[/tex]Given the condition that x1 and x2 are not equal to 2. So, the above equation implies that
[tex]\frac{3x_1+4}{x_1-2}=\frac{3x_2+4}{x_2-2}\Rightarrow f(x_1)=f(x_2)[/tex]So, it is a one-to-one function.
For onto function, let y= (3x + 4) / (x-2). Now, interchange x and y, and solve the equation fo y:
[tex]\begin{gathered} x=\frac{3y+4}{y-2} \\ \Rightarrow xy-2x=3y+4 \\ \Rightarrow xy-3y=2x+4 \\ \Rightarrow y(x-3)=2x+4 \\ \Rightarrow y=\frac{2x+4}{x-3} \end{gathered}[/tex]Here, the domain of the inverse of the function is R - {3}. But the function is R - {2} => R. So, it is not onto.
thus, the given function is not a bijection.
Please Help me graph the linear equation!! 70 Points
Answer:
Step-by-step explanation:
We will follow the same steps as in the previous question. First, we can start by leaving the variable [tex]y[/tex] alone.
[tex]2y=5x+11[/tex][tex]y=\frac{5x+11}{2}[/tex]In this step, let's be careful to give the variable [tex]x[/tex] odd numbers. The rational expression will then be an integer.
For [tex]x=1,y=8[/tex]For [tex]x=-1, y=3[/tex]For [tex]x=-3, y=-2[/tex]Finally, connect these three points. You can see the connected version in the photo. Good luck!
HELP ASAP PLSSSPLSPSLPSLPLSS
Given f(x) = 3x − 4 and g(x) = f(2x), which table represents g(x)?
The values of g(x) at x = 1, 2 and 3 are 2, 8 and 14 respectively.
Which table contains the values of g(x)?
Since f(x) = 3x - 4 and g(x) = f(2x)
so, in f(x) = 3x - 4, we can replace x with 2x:
g(x) = f(2x) = 3(2x) - 4 = 6x - 4
when x = 1:
g(x) = 6(1) - 4
= 6 - 4 = 2
when x = 2:
g(x) = 6(2) - 4
= 12 - 4 = 8
when x = 3:
g(x) = 6(3) - 4
= 18 - 4 = 14
Therefore, when x = 1, 2 and 3, their corresponding values of g(x) are 2, 8 and 14. So 4th table contains the values of g(x).
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Answer: D
Step-by-step explanation: I Chose D and got it right for my quiz.
what is 4 2/3 + 1 3/4?
Answer: 6 5/12
Step-by-step explanation: You could do 3x4 = 12
so, 2x4 = 8, also 3x3 = 9 which would be 4 8/12 + 1 9/12, then just add.
Answer:
6 5/12
Step-by-step explanation:
We can first begin by separating the whole number and the fraction:
4 + 2/3 + 1 + 3/4
After reordering, it becomes:
4 + 1 + 2/3 + 3/4
5 + 2/3 + 3/4
Now, we must find the common denominator for the fractions so that we may add them:
The common denominator is 12.
5 + 2(4)/3(4) + 3(3)/4(3)
5 + 8/12 + 9/12
5 + 17/12
Simplifying the improper fraction gives us:
5 + 1 + 5/12
And the final answer is:
6 + 5/12
6 5/12
Hope this helped!
Look at this diagram:If KM and NP are parallel lines and m
Answer
Angle NOL = 70°
Explanation
Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. If the two lines are parallel to each other, then alternate angles are equal.
We can see that Angle MLO and Angle NOL are alternate angles.
And since we have been told that KM and NP are parallel lines,
Angle NOL = Angle MLO = 70°
Hope this Helps!!!
If f(1)=4 f(2)=5 and f(n)=f(n-1) + f(n-2) then find the value of f(5)
Answer:
23
Step-by-step explanation:
f(3) = f(2) + f(1) = 5 + 4 = 9
f(4) = f(3) + f(2) = 9 + 5 = 14
f(5) = f(4) + f(3) = 14 + 9 = 23
Answer:
substituting n by 5 gives;
f(5)=(5-1)+(5-2)=7
Find the value of x in the following equation:
1.2(3x + 5) = 3.6x + 6
Infinite solutions
No solution
x = 1.8
x = 0
1.2(3x+5)=3.6x+6
We move all terms to the left:
1.2(3x+5)-(3.6x+6)=0
We multiply parentheses
3.6x-(3.6x+6)+6=0
We get rid of parentheses
3.6x-3.6x-6+6=0
We add all the numbers together, and all the variables
=0
x=0/1
Hence, x = 0
A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?
The number of ounces of meat were used is 52 ounces.
Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)
Number of sandwiches can make with 91 ounce of meat and cheese
= 91/7
= 13 sandwiches
Number of ounces of meat = 13 × 4 = 52 ounces
Number of ounces of cheese = 13 × 3 = 39 ounces
Therefore, the number of ounces of meat were used is 52 ounces.
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2/11 and 1/5 common denominator
Answer:
The answer is 55.
Step-by-step explanation:
2/11 = 2/11 × 5/5 = 10/55
1/5 = 1/5 × 11/11 = 11/55
Answer:
55
Step-by-step explanation:
2/11 and 1/5
To find the common denominator, take 11 and multiply by 5
11*5 = 55
2/11 * 5/5 = 10/55
1/5 * 11/11 = 1/55
If [tex]f(x) = -4x^{5} and g(x) = 10x^9 - 12x^4 + 6[/tex] (what is f x g) x?
A.) [tex]-40x^{14} + 48a^{3} x^{9} +6[/tex]
B.) [tex]40x^{14} - 12x^{4} + 6[/tex]
C.) [tex]-40x^{14} + 48x^{9} - 24x^{5}[/tex]
D.) [tex]-40x^{9} + 48x^{4} - 24[/tex]
Answer:
C
Step-by-step explanation:
(f×g)x just means
f(x) × g(x)
Multiply the two given functions together. Use distributive property. To multiply terms with the same base, add the exponents.
see image.