Answer:
1,2,4,8,16.
Step-by-step explanation:
they are a square root of 2 for each question. it will eventually get up higher then additive.
The sequence that has the second greatest value for the 10th term is
1, 2, 4, 8, 16, . . .
The geometric sequences in the given sequences is 1, 2, 4, 8, 16, . . .
What is a sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Now the given sequences are,
30, 40, 50, 60, 70, . . . :
0, 5, 15, 30, 50, . . . :
1, 2, 4, 8, 16, . . .
For sequence 30, 40, 50, 60, 70, . . . :
we have common difference, d = 10
So, this is an arithmatic sequence.
So, Tn = a1 + (n-1)d
Hence, 10th term of the series,
T10 = 30 + (10-1)10
T10 = 30 + 9*10
T10 = 30 + 90
T10 = 120
For sequence 0, 5, 15, 30, 50, . . .
This is a recurssive sequence
Hence each term of the series is given as,
0
5 = 5*1
15 = 5*(1 + 2)
30 = 5*(1 + 2 + 3)
50 = 5*(1 + 2 + 3 + 4)
.
.
.
.
.
10th term = 5*(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)
10th term = 225
For sequence 1, 2, 4, 8, 16, . . .
Here common ratio, r = 2
also, Tn = ar^(n-1)
So, T10 = 1*2^(10-1)
or, T10 = 1*2^9
or, T10 = 512
Therefore,
The sequence that has the second greatest value for the 10th term is
1, 2, 4, 8, 16, . . .
and The geometric sequences in the given sequences is
1, 2, 4, 8, 16, . . .
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Please help ( if you want )
The correct answer is option (3)
Hope It Helps Uh! ❤
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
Are any of these numbers an Integer?
15
20/5
44
13/19
-35.47
;w; help
Answer: 15, and 44 are integers.
Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.
How many solutions does the following equation have? -6(x + 7) = -42 - 2
Answer:
x = 1/3 or .333
Step-by-step explanation:
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?
Answer:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Step-by-step explanation:
Let a be the amount of pounds of apricot bought
Let b be the amount of pounds of banana bought
If he buys a total pounds of 5 pounds then;
a + b = 5 ...........1
Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a
Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b
If he spends a total of $24.50 on both banana and apricots, then:
6a + 4b = 24.50 ......... 2
The system of equations that represents the constraints in the situation is:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Answer: C
Step-by-step explanation:
A survey found that women's heights are normally distributed with mean 62.6 in. And standard deviation 2.5 in. The survey also found that men's heights are normally distributed with mean 68.3 in. And standard deviation 3.3 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. And a maximum of 64 in. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
Answer:
The new height requirements are minimum of 64.1875 inches and maximum of 68.3 inches
Step-by-step explanation:
To exclude the tallest 50% of men and shortest 5% of men, we need to find the critical z-value for a significance level of 0.5 & 0.05 and then solve for x in the z-score equation.
For significance value of 0.5, z = 0
We are given;
μ = 68.3 in
σ = 2.5 in
Thus from z = (x - μ)/σ, we have;
0 =(x - 68. 3)/2.5
0 = x - 68. 3
x = 68.3 inches for men max
Similarly, for significance value of 0.05, z = -1.645
Thus to find x;
-1.645 = (x - 68. 3)/2.5
-4.1125 = x - 68.3
x = 68.3 - 4.1125
x = 64.1875 inches for men min
which expression is the simplest for of -(3ₓ³+ₓ²)+2(ₓ³-4ₓ²)?
Answer:
5x^3-7x^2
Step-by-step explanation:
Answer: i think -26
Step-by-step explanation: (3ₓ³+ₓ²)+2(ₓ³-4ₓ²)=-26
Find roots (zeroes) of : F(x) = 5x3+x2-32
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 5 and the Trailing Constant is -32.
The factor(s) are:
of the Leading Coefficient : 1,5
of the Trailing Constant : 1 ,2 ,4 ,8 ,16 ,32
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 -36.00
-1 5 -0.20 -32.00
-2 1 -2.00 -68.00
-2 5 -0.40 -32.16
-4 1 -4.00 -336.00
Note - For tidiness, printing of 19 checks which found no root was suppressed
Polynomial Roots Calculator found no rational roots
-26
ILL GIVE BRAINLIEST IF RIGHT ASAP
Answer:
Everything with a dilation so B and E
Step-by-step explanation:
The second and last one, because dilations are only transformation that makes figures SIMILAR!
18 less than half a number is 6
Answer:
18<1/2x=6
Step-by-step explanation:
The equation for the given description is 18 - 0.5x = 6
Calculation of an equation:Since 18 less than half a number is 6
So here we assume the number be x
Now the equation is
18 - 0.5x = 6
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What are the equivalent forms of the number shown in the model?
Word: _____
Fraction: _____
Decimal: _____
Answer:
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
Step-by-step explanation:
i got it right
word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
As, per the diagram there are total of 10 columns out of which 8 are shaded blue.
So, if we write the fraction of shaded part it will be 8/10.
So, in word: eight-tenths
fraction: 8/10 = 4/5
decimal: 0.8
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A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit every hour,what will be the Temperature by 2:00pm of the same day
Given:
Temperature at 10:00 am = 8 degrees Fahrenheit
Temperature drops by 3 degrees Fahrenheit every hour.
To find:
The temperature by 2:00pm of the same day.
Solution:
Let y be the temperature after x hour after 10:00 am.
The temperature at 10:00 am is the initial temperature.
So, y-intercept of the linear function is 8.
Temperature drops by 3 degrees Fahrenheit every hour.
So, slope of linear function is -3. Here, negative sign represents the decrease in the temperature.
Slope intercept form of a linear function is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Substitute m=-3 and y=8 in the above equation.
[tex]y=-3x+8[/tex]
Difference between 2:00pm and 10:00 am is 4 hours. So, substitute x=4 in the above equation.
[tex]y=-3(4)+8[/tex]
[tex]y=-12+8[/tex]
[tex]y=-4[/tex]
Therefore, the temperature by 2:00pm of the same day is -4 degrees Fahrenheit.
Please help i will give brainliest
Answer:
f(x)= 2/3x + 1
Step-by-step explanation:
Answer:
A. f(x) = 2/3x + 1
Step-by-step explanation:
Your y-intercept is + 1 because it the line crosses the y-axis at (0,1)
The slope is +2/3 because it rise up 2 units then right at 3 units; sloping to the right (positive slope)
ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP
Answer:
[tex]105 \frac{3}{10}[/tex], so most likely G
Step-by-step explanation:
[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]
First, we convert to a fraction. Then, we simplify.
The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?
60 ft/s = ? Km/h
Please show me how to solve this.
Answer: 65.88 km/h
Step-by-step explanation:
When multiplying conversion factors, make sure the only remaining units are the desired units.
James has $40 to spend. He wants to buy 2 tickets to a show. He has to spend $7 to get where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2x+7 less than or equal to 40.
A.) x less than or equal to 23.5
B.) x less than or equal to 16.5
C.) x greater than or equal to 23.5
D.) x greater than or equal to 16.5
Answer:
B.) X less than or equal to 16.5
Step-by-step explanation:
If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.
Answer:
x ≤ 16.5
Step-by-step explanation:
40 ≤ 2t + 7 Subtract 7 from both sides.
40 - 7 ≤ 2t + 7 - 7
33 ≤ 2t Divide both sides by 2.
[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]
16.5 ≤ t or t ≥ 16.5
When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the formula using skills for solving literal equations. How would you find LaTeX: x_2\:\:\:or\:\:\:y_2x 2 o r y 2? Use LaTeX: x_m\:\:and\:\:\:\:y_mx m a n d y mto notate the midpoints. Remember the original midpoint formula is LaTeX: \left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)
Answer:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
Step-by-step explanation:
Given
[tex]\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)[/tex]
Required
Determine x2, y2
Start by splitting the expression
[tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex] and [tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Solving for x2 in [tex]x_m = \left(\frac{x_1+\:x_2}{2})[/tex]
Multiply through by 2
[tex]2 * x_m = \frac{x_1 + x_2}{2} * 2[/tex]
[tex]2x_m = x_1 + x_2[/tex]
Make x2 the subject;
[tex]x_2 = 2x_m - x_1[/tex]
Similarly:
[tex]y_m = (\frac{y_{1\:}+y_2}{2})[/tex]
Multiply through by 2
[tex]2 * y_m = \frac{y_1 + y_2}{2} * 2[/tex]
[tex]2y_m = y_1 + y_2[/tex]
Make y2 the subject;
[tex]y_2 = 2y_m - y_1[/tex]
Hence:
[tex](x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )[/tex]
8. Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders
smaller than a dozen pies, there is a $5 delivery charge. Is the cost proporti
to the number of pies ordered? Use a table of values to explain your reason
Answer:
Yes, because the more pies ordered the more money it will cost to buy them all
Step-by-step explanation:
total cost is not proportional to the number of pies.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
given Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.
Let us draw a table for the number of pies and the total cost
Number of pie Total Cost
1 $4.50+5=$9.50
2 $9+5=$14
3 $13.50+5=$18.50
4 $18+5=$230
5 $22.50+5=$26.50
now Total cost/number pies = 9.50/1 is not equals to 14/2
Therefore the total cost is not proportional to the number of pieces
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marton charges $15 for every five bags of leaves he rakes last weekend he raked raked 20 bags of leaves how much money did he earn
Answer:
20*15=300
He earned $300
The population of pine bluff is 6791 and is decreasing at a rate of 7 per year.Write the linear equation that models this situation.
Answer:
y=15x+10
Step-by-step explanation:
The linear equation that models the situation is y = 6791 - 7x.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept
Given that, the population of pine bluff is 6791 and decreasing at a rate of 7 per year.
The population after x year is:
6791 - 7x
Now, if the population after x year is represented by y, then the equation is:
y = 6791- 7x
Hence, the linear equation that models the situation is y = 6791 - 7x.
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What is the y-intercept of the function f(x) = -2/9x + 1/3
-2/9
-1/3
1/3
2/9
Answer:
Step-by-step explanation:
-1/3
4400 x 400=????????????
Answer:
An easiest way to multiply without a calculator would be:
1) First multiply 44*4 = 176
2) Then count the zeroes in the question and add it to your answer. So your answer will look like: 1760000
Which statement is true about the graph of
the function y = 3|x – 2| + 4?
A Its vertex is at (-6,0)
B Its vertex is at (-2, 4)
C Its vertex is at (2, 4)
D Its vertex is at (4,2)
PLEAse i need help brainlist if u get it right
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
HELP ME PLS PLS PLS
A. yes
B. Yes
C. No
Hope this helps :)
Solve the quadratic
9x2 + 25 = 0
Answer:
9x^2=-25
X^2=-25/9
X^2=-2. 77
X= root - 2.77
=-1. 664Hope this helps you Stay happy and safe Do mark as brainliest ✌️plz help important!!!!!!!!!!!!!!!!!!!!!!
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
The value of a baseball card can be represented by the equation y = 3 x + 39, where x represents the number of years that Robert has owned the card and y represents the total value, in dollars, of the card. What was the value of the card when Robert originally purchased it?
$3
$13
$36
$39
Answer:
The answer will be $39 :)
Answer:
$39
Step-by-step explanation:
Subtract the expression :
- 5x + 3x - 24
Plzz ....answer....plzzz
Answer:
-2x-24
Step-by-step explanation:
-5x+3x-24 = - 2x-24
Answer:
-2x-24 hope dis helped