Answer:
Area of Trapezium=1/2h(L1+L2)
I think it will help you
Consider the geometric series: 1000, 500, 250, 125,.
Question: A. Does this sequence converge or diverge?
B. What is the sum of the first 10 terms of the series?
C. What is the sum of the first 30 terms of the series?
D. What do these two sums tell you about the series as it continues?
Answer:
a diverge
b512000
c1000(2^30-1)
d
Step-by-step explanation:
t10=ar^9
=1000*2^9
s30=a(r^n-1)/r-1
=1000(2^30-1)/2-1
The geometric series given as 1000, 500, 250, 125,... is seen to be; Convergent.
What is divergent or convergent series?
A series is said to be divergent if it doesn't converge at any finite point. However, a series is said to be convergent if it converges at a finite point.
In this question, we see the series progressively reducing by one quarter of the previous number. Thus, it means that the sequence will converge close to zero and as such we can say taht the sequence is convergent.
Formula for sum of geometric series is;
Sₙ = a(1 - rⁿ)/(1 - r)
Thus;
S₁₀ = 1000(1 - 0.5¹⁰)/(1 - 0.5)
S₁₀ = 1998.05
Sum of first 30 terms is;
S₃₀ = 1000(1 - 0.5³⁰)/(1 - 0.5)
S₃₀ = 2000
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Thirty
five years ago, the average price of a textbook was $36. Today, the average textbook is $79. What percent increase is this? Round to the nearest percent if needed
A.54%
B.67%
C.119%
D.107%
pls help its an exam
Answer:
107% if you want to be sure check
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data? an association cannot be determined between the categorical variables because the relative frequencies are not similar in value. there is likely an association between the categorical variables because the relative frequencies are not similar in value. an association cannot be determined between the categorical variables because the sum of the relative frequencies is 1.0. there is likely an association between the categorical variables because the sum of the relative frequencies is 1.0.
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
What is the frequency?Frequency describes the number of waves that pass a fixed place in a given amount of time.
A conditional relative frequency table is generated by a column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.
If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data.
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Answer:
There is likely an association between the categorical variables because the relative frequencies are not similar in value.
Step-by-step explanation:
an electrician completes 1/6 of a job in 2/3 hour. at this rate, how long does it take the electrician to complete the job?
PLEASE HELP!!!! IM GONNA GET IN TROUBLE
Answer:
4 hours.
Step-by-step explanation:
2/3 * 6
= 12/3
= 4 hours.
Answer:
4
Step-by-step explanation:
1/6 x 2/3(flip 1/6 to 6/1 so its easier to calculate; they mean the same thing)6/1 x 2/3 = 12/33 x 12 = 4Hope this helps <3
try to stay out of trouble lol
Figure b 32.5 12.5 30 figure a 13 12 5
I already know what a and b are i just need help on c
Answer:
180⁰
Step-by-step explanation:
Since the angle of straight line is 180⁰
Answer:
A and B = 180 degrees
Step-by-step explanation:
this is because a circle is 360 and a line wich would be cutting the line in half is 180. so the two andles must add up to 180 degrees.
Complete the equivalent equation for –7x – 60 = x2 10x. (x )(x ) = 0 what are the solutions of –7x – 60 = x2 10x? x =
Answer:
(x + 5)(x + 12) = 0
What are the solutions?
x = -12 or -5
Step-by-step explanation:
Hope it helps! :D
Answer:
(x + 5)(x + 12) = 0
and
x = -12 or -5
Step-by-step explanation:
13) Which expression is equivalent to 2(5 – 3x)?
-
A) 10 - 5x
B) 10 - 6x
-
07 - 5x
D) 7 6x
Answer:
B
Step-by-step explanation:
you need to distribute the 2
this leads to (2*5)- (2*3x)
=10-6x !
The sum of two numbers is 53 The larger number is 11 more than the smaller number. What are the numbers?
Answer:
21 and 32 are the numbers
Step-by-step explanation:
Let assume that the the two numbers are X and Y and that X is the large number.
According to the question,
X + Y = 53 .................. Equation 1
then, X = 11 + Y........... Equation 2
Substitute equation 2 into equation 1.
[11 + Y] + Y = 53
11 + 2Y = 53
2Y = 53 - 11 = 42
2Y = 42
Y = 42 / 2 = 21,
Therefore, Y = 21 [Small number].
According to equation 1,
X +Y = 53
X + 21 = 53
X = 53 - 21 = 32.
Therefore, X = 32 [Big number]
How many 10 inch pieces of bar can be cut from a bar that measures 120 inches?
Please explain !!
Answer:
12 ten inch pieces
Step-by-step explanation:
you do 120 divided by 10 to get an answer of 12
hope this helped =)
Mr. Lee has 61 pencils. He gave some pencils away. Now he has 33 pencils left. Which equation can be used to find how many pencils Mr. Lee gives away.
Answer:
61-33...
Step-by-step explanation:
If he gave away 61 from his 33 then its 61-33
...................................................................
Answer:
b=2 and c=6
Step-by-step explanation:
According to the question,
a+b=c
Let b=2 and c =6 then, we get,
4+2=6
or, 6=6
proved
Round each fraction to help you estimate the solution for the following equation: (2 points) nine tenths minus eight tenths equals a 0 b one half c 1 d one and one half
Answer: 9/10-8/10=1/10
Step-by-step explanation: The answer is 1/110
Solve the formula S = 47tr2 for r.
Answer:
A
Step-by-step explanation:
First divide S by 4pi. Then take the square root to solve for r.
A hot air balloon is 1,200 feet above the ground. The angle of depression from the basket of
the hot air balloon to the base of a monument is 54°.
Which equation can be used to determine the distance, d, in feet, from the basket of the hot
air balloon to the base of the monument?
Answer:1200/d
Step-by-step explanation:
Selina is picking strawberries. She is using 5 boxes to hold them all. Each box has a width of 6 in, a height of 3 in, and a length of 4 in. What is the total volume of all 5 boxes? Explain how to solve this problem.
The volume of a cuboid is the product of its length, width, and height. The total volume with Selina is 360 in³.
What is the volume of a cuboid?The volume of a cuboid is the product of its length, width, and height. It is represented as,
[tex]\rm \text{Volume of Cuboid} = (Length \times Width \times Height)\ unit^3[/tex]
The volume of each of the boxes with a width of 6 in, a height of 3 in, and a length of 4 in, can be written as,
[tex]\rm \text{Volume of a single Box} = 6\ in \times 3\ in \times 4\ in = 72\ in^3[/tex]
Now, the total number of boxes Selina has is 5, therefore, the total volume with Selina can be written as,
[tex]\rm \text{Total\ Volume} = \text{Volume of a single box} \times 5 = 72\ in^3 \times 5 = 360\ in^3[/tex]
Hence, the total volume with Selina is 360 in³.
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Explain how to graph the point (-4, 6)
Answer:
four spaces to the left, and 6 spaces up.
Lin needs `5` cups of flour to make muffins for her family, but only has `3. 5` cups of flour left. How much more flour does she need?
Answer:
1.5 cups
Step-by-step explanation:
5 - 3.5 = 1.5
Solve for x.
Your answer must be simplified.
An inground swimming pool contains 2.3 times 10 superscript 4 units of water. which unit of measure was used? teaspoons cubic centimeters fluid ounces gallons
The measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
What is the Unit conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm,
Though the real measurement is still the same the units and numerical values have been changed.
As it is given, the pool's volume or the amount of water in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the measurement unit used for the water in the swimming pool is 2.3×10⁴ gallons.
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1. Ms. Rodriquez wanted to grow out her hair. She measured the growth each month. The first month
her hair grew 1.775 centimeters. The next month it grew 1.45 centimeters. The third month it grew
1.2 centimeters. How many centimeters did Ms. Rodriquez's hair grow in three months?
Answer:
Step-by-step explanation:
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
1. Set A
2. [tex]\textsf{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2[/tex]
3.
[tex](x+7)(x-7)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=7[/tex]
[tex]\implies x^2-7^2=x^2-49[/tex]
[tex](x-9)(x+9)=(x+9)(x-9)[/tex]
[tex]\implies a=x\:\textsf{and}\:b=9[/tex]
[tex]\implies x^2-9^2=x^2-81[/tex]
[tex](4x-3)(4x+3)=(4x+3)(4x-3)[/tex]
[tex]\implies a=4x\:\textsf{and}\:b=3[/tex]
[tex]\implies (4x)^2-3^2=16x^2-9[/tex]
4.
[tex](2x+5)(2x-5)[/tex]
[tex]\implies a=2x\:\textsf{and}\:b=5[/tex]
[tex]\implies (2x)^2-5^2=4x^2-25[/tex]
5. [tex](x-6)(x-6)[/tex]
Cannot use Difference of Two Squares Formula to expand this expression. To expand this expression, you would need to use the FOIL method: [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]\implies (x-6)(x-6)=x^2-6x-6x+(-6)^2=x^2-12x+36[/tex]
Answer:
1.Set A
2.Aplyyanses of shortcut based
[tex] \beta \sin( \sec( \cos(e \alpha \% log_{14 |kkjja| }(?) ) ) ) bcaue \: f \: thd \: \: aakdx[/tex]
Step-by-step explanation:
thire9
Determine the volume of the cylinder. Use 3.14 for T.
2 in.
SOUP
6.5 in.
cubic inches
Step-by-step explanation:
Given :-
Radius = 2 inchHeight = 6.5 inchTo find :-
Volume of CylinderSolution :-
Volume of Cylinder = πr²h
putting the known values ,3.14 × 2² × 6.5 cubic inches
Volume = 81.64 cubic inches
Answer:
81.64
Step-by-step explanation:
Volume
πr²hGiven
r = 2 inchesh = 6.5 inchesSolving
V = 3.14 x (2)² x 6.5V = 3.14 x 4 x 6.5V = 3.14 x 26V = 81.64 cubic inchesAre these ratios equivalent? 4:5 12:20
Answer:
No
Step-by-step explanation:
[tex]\dfrac{12}{20} =\dfrac{3 \times 4}{4 \times 5}= \dfrac 35\neq \dfrac 45[/tex]
Look at △ABC and △DEF on this coordinate grid.
Which transformation shows that △ABC and △DEF are similar?
A
a dilation of △ABC with a scale factor of 2
B
a translation of △ABC 1 unit up and 3 units to the right
C
a dilation of △ABC with a scale factor of 12
D
a translation of △ABC 3 units up and 3 units to the right
Answer:
A
Step-by-step explanation
Dilation: A shape is scaled up or down by a scale factor
Translation: A shape is moved on a coordinate plane to a different spot.
A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.
What is 7/47 as a percentage rounded to one decimal place?
Answer:
14.9%
When finding the unknown percentage, divide. For this case, separate 7 and 47 from the fraction and convert 7 to 7,000
[tex]0.47~/~7,000\\~~~~~~=14,893\\[/tex]
In percentage, 14,893 rounds to 14,900, which can be interpreted as 14.9%
11 is a quotient of a number y and 6
Answer:
y = 66
Step-by-step explanation:
"11 is a quotient of a numer y and 6" can be re-written as:
y/6 = 11
To solve, multiply both sides by 6.
y = 66.
Please Answer Both Questions!
If your correct I'll mark you brainliest if someone else answers
Only need answers
Answer:
Card 7: 59.66 Card 8: 25.12
Step-by-step explanation:
Which is f(6) for the quadratic function graphed?
-2
-0.5
1.5
ОО
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The Correct choice is 4
If we take value of x as 6 in the given function, then we will get the value of y as 4, as shown in the graph.
What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction
The solution of the given quadratic equation are,
[tex]x=\frac{-5-\sqrt{57} }{2}[/tex],[tex]x=\frac{-5+\sqrt{57} }{2}[/tex]
The equation to solve is given as
[tex]x^2=-5x+8[/tex]
Rearrange the given equation in standard form, [tex]ax^2+bx+c=0[/tex]
where, a,b and c are constants.
Therefore, we add 5x-8 on both sides to get,
[tex]x^2+5x-8=0[/tex]
Here, a=1,b=5 and c=-8
The solution to the above equation is
What is the quadratic formula?
[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex]
Use the value of a,b,c in the quadratic formula and solve for x
[tex]x=\frac{-5\±\sqrt{5^2-4(1)(-5)} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{25+35} }{2(1)}[/tex]
[tex]x=\frac{-5\±\sqrt{57} }{2(1)}[/tex]
Therefore, the solutions are
[tex]x=\frac{-5-\sqrt{57} }{2},x=\frac{-5+\sqrt{57} }{2}[/tex]
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Answer:
answer is b
Step-by-step explanation: