The 34th term of the sequence 158, 155, 152 ...... is 59
The sequence is as follows:
158, 155, 152 ......
let
a = first term = 158
d = common difference = 155 - 158 = -3
Using Arithmetic progression formula, let's find the 34th term as follows:
aₙ = a + (n - 1)d
a₃₄ = 158 + (34 - 1)-3
a₃₄ = 158 + (33)(-3)
a₃₄ = 158 - 99
a₃₄ = 59
Therefore, the 34th term of the sequence is 59.
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solve (2x + 5)= (2x + 3)(2x - 1)
[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]
Answer:
x = -1± sqrt( 33)
----------------------------
4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
----------------------------
2a
x = -2± sqrt( 2^2-4(4)(-8))
----------------------------
2(4)
x = -2± sqrt( 4+128)
----------------------------
8
x = -2± sqrt( 132)
----------------------------
8
x = -2± 2sqrt( 33)
----------------------------
8
x = -1± sqrt( 33)
----------------------------
4
There are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?
Answer: 60%
Step-by-step explanation:
39/65 = 3/5 = 60%
Answer:
60%
Step-by-step explanation:
65 seats in total = 100%
divide by 65 on both sides to get 1 seat
1 seat=1.54
times by 39
39 seats=60%
Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?
(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.
Answer:
a
Step-by-step explanation:
Evaluate.
−[4.1−3(2.2)](−0.2)2+2
What is the value of the expression?
Enter your answer as a decimal in the box.
64.5
Explanation:
-(4.1-3(2.2))=2.5
2.5÷(-0.2)^2=62.5
62.5+2=64.5
THEREFORE
the answer is 64.5
The solution of the mathematical expressions will be 64.5
What is Number system?
A system of writing to express the number is called number system.
Given that;
The mathematical expressions are,
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Now,
Solve the expression as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
Using the BODMAS rule to solve the expressions as;
⇒ −[4.1 - 3 (2.2)] / (-0.2)² + 2
⇒ - [ 4.1 - 6.6 ] / (-0.2)² + 2
⇒ - [-2.5] / (-0.2)² + 2
⇒ 2.5 / 0.04 + 2
⇒ 62.5 + 2
⇒ 64.5
Therefore,
The solution of the mathematical expressions will be 64.5
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PLEASE HELP!! find the value of x. attached image.
Answer:
x = 4
Step-by-step explanation:
The angle markings at the bottom of the triangle mean they are congruent. Since they are the only two congruent to each other, that means this triangle is an isosceles triangle.
In an isosceles triangle, not only are the bottom angles congruent, their opposing sides are congruent as well. In this instance, that means 9x - 8 = 28. Knowing that we can solve for x.
[tex]9x-8=28\\\\9x-8+8=28+8\\\\9x=36\\\\\frac{9x}{9}=\frac{36}{9}\\\\x=4[/tex]
Answer:
x = 4Step-by-step explanation:
9x - 8 = 28 ( converse of isosceles triangle )
(If two angles of a triangle are congruent , then the sides opposite to these angles are congruent.)
[tex]9x - 8 = 28 \\ 9x - 8 = 28 + 8 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]
True or false: (log x)2 = 2logx. Explain your thinking.
Mrs. Taylor bought 16⅓ yards of material. She used 5¾ yards. How much material does she have left? *
Answer:
10\frac{7}{12}
Step-by-step explanation:
First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.
Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.
Now you are left with \frac{4][12] and \frac{9}{12}.
Add those back to your numbers
16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}
How would I solve this?
Answer:
2a+3b=4a-3b
a+3=4b
b=3
a=9
Step-by-step explanation:
2a+3b=4a-3b
-2a=-6b
a=3b
a+3=4b
3b+3=4b
3=b
a=9
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
Write an equation for the graph.
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done
Answer:
(d) 9/2
Step-by-step explanation:
The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.
Here, we have ...
x = 0, y = 1
x = 1, y = 9/2
These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.
Given the system of equations, what is the x-coordinate of the solution?
y = 3 - x 1/2
3x + 4y = 1
-11
22
-17/2
Answer:
i think x = -11
Step-by-step explanation:
x = -11
y = -17/2
Answer:
x = -11
Step-by-step explanation:
Which expression is equivalent to (15aºb²c34) (3a166-29cº) for all values of a, b, and
c where the expression is defined?
The answer is 45a16c34b27
the actual height of the building in this scale drawing is 144 feet what is its actual width?
Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help
Answer:
equation of g(x) is 3-x
f(x)= -x+6 g(x)=f(x+3)
then,,
f(x+3)=-(x+3)+6 =-x-3+6 = 3-xie.. g(x)=3-x
In one vending machine, 5 white milk are sold for every 6 chocolate milk. If 20 white milk are sold, how many chocolate milk are sold?
Answer:
Its easy
Step-by-step explanation:
[tex]20 = 5 \times 4[/tex]
[tex]20 = 5 \times x \\ x = 4[/tex]
So we know the x is four so it will be like this
[tex]6 \times 4 =x \\ x = 24[/tex]
So there were sold 24 chocolate milks
Hope this helps
Answer:
24
Step-by-step explanation:
because
5____6
20___x
Proportion: x=20*6/5=24
The relationship between y and x is 9/3 which table represents this relationship and why?
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
Can someone please help me with this question.
How can you tell whether two sets of data, ordered pairs, vary directly?
Answer:
graph them
Step-by-step explanation:
you can tell if you graph them
Find the equation of a line parallel to y = x + 8 that passes through the point
(-3,3).
Answer:
y=x + 6
Step-by-step explanation:
G1=G2
so G2 =1
y-3 /x+3 =1/1
y-3 = x +3
y=x + 6
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answer: point E
Step-by-step explanation:
Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?
Answer:
i think 10
Step-by-step explanation:
you multiply 3*5=15 and 2*5=10
a farm is sold for $457000, which gives a profit of 19%. Find the profit
Answer:
The profit is 86830
Step-by-step explanation:
To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830
Answer:
Profit: $73000
Step-by-step explanation:
Profit = Selling price (SP) - Cost price (CP)
First you need to find the CP
CP = (SP*100)/(100+Percentage profit)
SP= $457000
Percentage profit = 19%
CP= (457000*100)/(100+19)
CP= 45700000/119
CP= $384,033.6134
Profit = 457000-384,033.6134
Profit = $72966.3866
Profit rounded to the nearest 1,000 or the Thousands Place = $73,000
Hope this helps. Please give me the brainliest?
What value of x satisfies the equation 3x – 2 = 2x + 4?
Answer:
x = 6
Step-by-step explanation:
3x - 2 = 2x + 4
First, we need only 1 set of x, so I'll subtract the smallest x from the other.
-2x both sides.
x - 2 = 4
Next, add +2 to both sides. (In these types of questions always do the inverse!)
And so your answer is:
x = 6
Answer:
x = 6
Step-by-step explanation:
1. Add 2 to both sides of the equation
3x - 2 = 2x + 4
3x - 2 + 2 = 2x + 4 + 2
2. Simplify
3x = 2x + 6
3. Subtract 2x from both sides of the Equation
3x - 2x = 2x + 6 - 2x
4. Simplify
x = 6
You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?
Group of answer choices
Exponential
Linear
Answer:
B Exponential
Step-by-step explanation:
Hope this helps
The equation for the fruit fly population doubling every 3 hours would be exponential.
Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.
The general form of an exponential growth function is given by: y = a * b^x
Where:
- y is the final quantity or population size after x intervals of time.
- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).
- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).
- x is the number of intervals of time (in this case, the number of 3-hour periods).
In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.
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Determine the intercepts of the line
Answer:
25, -55
Step-by-step explanation:
Intercepts are where the line crosses the x and y axis
x intercept = 25
y intercept = -55
please please look at the picture and see if you can help!!!! i’m struggling so badly!
If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?
Answer:
28%
Step-by-step explanation:
(3red+4red)/25candy = 7/25 = 28/100 = 28%
What is the area of this figure?
please help me ASAP!
Answer:
35cm squared
Step-by-step explanation:
5*5=25 for the square
10cm for the triangle (multiply base by height)
add it for 35
HELP!!! THIS IS IMPORTANT
, aflred runs 2 1/2 miles in 3/4 of an hour.
Which unit rates are true for this situation?
3/10 miles per hour
3/10 to run a mile
3 1/3 miles per hour
3 1/3 hours to run a mile
question that EQUALS
67.5