The sequence is will always have even numbers, is hence proved.
Given, the quadratic sequence is: 44:52:64:80
Sequences with a term are known as quadratic sequences. They can be distinguished by the fact that the first differences between terms are not equal but the second differences between terms are. Utilizing the term sum in an arithmetic progression formula, the sum of even numbers formula is achieved. The equation is Sum of Even Numbers Formula = n(n+1), where n is the total number of terms in the series.
The formula is: Tₙ = 2n² ₊ 2n ₊ 40
take 2 common
Tₙ = 2(n² ₊ n ₊ 20)
in other words n² ₊ n ₊ 20 = y
therefore , Tₙ = 2y
which by definition makes Tₙ an even number at all times.
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Integrate the following function:
Answer: a
Step-by-step explanation:
First term
[tex]\int \sqrt{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \sqrt{u} \mathrm{du}\\\\=\frac{1}{15}u^{3/2}+C\\\\=\frac{1}{15}(10x-15)^{3/2}+C[/tex]
Second term
[tex]\int (10x-15)^{10} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int u^{10} \mathrm{du}\\\\=\frac{1}{110} u^{11}+C\\ \\ =\frac{1}{110}(10x-15)^{11}+C[/tex]
Third term
[tex]\int \frac{1}{10x-15} \mathrm{dx}[/tex]
We can use the substitution u=10x-15, meaning dx = 1/10 du.
[tex]=\frac{1}{10} \int \frac{1}{u} \mathrm{du}\\\\=\frac{1}{10} \ln u+C\\\\=\frac{1}{10} \ln(10x-15)+C[/tex]
Adding these results, we get the answer to be a.
Suppose X is normally distributed with a mean of 5 and a standard deviation of 0.4. Assume that P(X ≤ X₀) = P(Z ≤ 1.3). Which of the following equations should be solved to get the value of X₀?
For the standard deviation, from the equation find the value of X₀ is 10.2
What is Standard Deviation ?
The standard deviation measures the degree of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean (also known as the expected value) of the set, whereas a high standard deviation indicates that the values are dispersed over a wider range.
Given
Z = 1.3
μ = 5 , σ = 0.4
Now for X₀
Z = X₀ -X / σ
1.3 = X₀ - 5 / 0.4
X₀ = 10.2
Hence, X₀ = 10.2
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What is .75x.75x.75x.75x.75 written as a power
Answer: 75^5 which mean 75 to the 5th power
Step-by-step explanation:
Looking at the box-an-whisker plot for the package weight data below, what
does the position of the median line in the box and the length of the whiskers
tell you about the shape of the distribution?
Ground Beef Package Weight Data (in pounds)
0.75
0.83
0.87
0.89
0.89
0.89
0.92
0.93
0.96
0.96
0.97
0.98
0.99
1.06
1.08
1.08
1.15
1.16
1.16
1.19
1.19
1.2
1.21
1.24
1.28
1.38
1.41
OA. The data is uniformly distributed.
B. The distribution is strongly skewed to the right.
OC. The position of the median and length of whiskers tell you little
about the shape of the distribution.
D. The data is roughly symmetrical and mound-shaped (normally
distributed).
O E. The distribution is strongly skewed to the left.
The box-plot for the package shows that median is almost at center and the data is roughly symmetrical and mound -shaped (normally-distributed ) .
A box plot, ajso referred to as a box and whisker plot, is a type of chart that is widely used in data analysis in descriptive statistics.
Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.Box plots display a data set's minimum score, first (lower) quartile, median, third (upper), and maximum scores in a five-number summary.The median is the average value from a set of data and is shown by the line that divides the box into two parts.Almost half the scores are greater than or equal to this value and half are less than the median value.Now we know that from the box plot that the median is almost at the Centre , and both the third quartile and first quartiles are almost at equal distance from median, thus we can say that it is almost symmetric and normally distributed.
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What is an equation of the line that passes through the points (5,0) and (-8,0)
Answer:
y = 0x
explaination
Write 3thousands 16 tens 7 ones in standard form
Answer: 3,167
Step-by-step explanation:
What is 12.75w + 25 =114.25
Answer:
w = 7
Step-by-step explanation:
12.75w + 25 = 114.25
12.75w + 25 - 25 = 114.25 - 25
12.75w = 89.25
12.75w/12.75 = 89.25/12.75
w = 7
Hope this helps! :)
The estimated weight of a blue whale is 3.46 x 105 pounds. The estimated weight of a
sei whale is 5.6 x 104 pounds. What is the combined estimated weight of the two
whales?
The combined estimated weight of the two whales is 945.7 Pounds.
The estimated weight of a blue whale = 3.46 × 105
Total estimated weight of a blue whale = 363.3 Pounds
Now, the estimated weight of a sea whale = 5.6 × 104
Total estimated weight of a sea whale = 582.4 Pounds
For finding the combined estimated weight of the two whales,
we will add the total estimated weight of both whales.
Here is how we will do it:
Total estimated weight of a blue whale + Total estimated weight of a sea whale
= 363.3 Pounds + 582.4 Pounds
Hence, 945.7 Pounds will the combined estimated weight of the two whales.
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LESSON 7.6 THERE ARE 4 QUESTIONS HERE PLEASE ANSWER ALL FOUR TO GET THE POINTS
Find the measure of the indicated angle to the nearest degree.
By using a trigonometric relation, we can see that the missing angle is a = 41.1°
How to find the missing angle on the right triangle?In the image we have a right triangle where we know the measures of the 3 sides and we want to find an interior angle.
These measures are:
Hypotenuse: 73 units.Opposite cathetus: 48 units.Adjacent cathetus: 55 units.Now we can use the trigonometric relation:
Cos(a) = (adjacent cathetus)/(hypotenuse)
Where a is the angle we want to get, so we can rewrite:
Cos(a) = 55/73
Now, if we apply the inverse cosine function in both sides, we get:
Acos(Cos(a)) = Acos( 55/73)
a = Acos(55/73) = 41.1°
By using a trigonometric relation, we can see that the missing angle on the right triangle is a = 41.1°
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the perimeter of a college basketball court is 96 meters
and the length is 3 meters less then twice the width.
What are the demensions.
Answer:
Width=17m and Length=31m
Step-by-step explanation:
The perimeter of basketball court is rectangle in shape and is 96 m.
let us assume width be x m
so accordingly length will be 2*x-3=2x-3m
Perimeter= 2*(length+width)
96=2*(2x-3+x)
96=2*(3x-3)
96=6x-6
6x=102
x=102/6
x= 17
so, the width is 17m
and length is 2x-3=2*17-3=31m
sin²A+sin²A.tan²A=tan²A
Greetings from Brasil...
Putting SIN² A in evidence
SIN² A(1 + TG² A) = TG² A
1 + TG² A = SEC² A
SIN² A(SEC² A) = TG² A
SIN² A/COS² A = TG² A
TG² A = TG² A
What is the approximate value of √77, to the nearest whole number?
7. The question is in the screenshot
The total number of vehicles is simply given as
A total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
This is further explained below.
What is the distance?Generally, How far away two things or points are may be measured, either quantitatively or quantitatively, using something called distance.
When discussing physics or using the term in daily conversation, "distance" may either refer to a literal measurement or an approximation based on several other factors.
In conclusion, Here, we need to include all of the cars that are available on the length of road that is 20 miles long, and we can accomplish this by integrating the density function f. (x).
Therefore a total number of vehicles. =[tex]\int_0^{20} f(x) d x[/tex]
Option C
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( m n ) (x) for x = -3. m n (-3)=
Two expressions with equal sign is equation, if (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).
What is Equation?Two expressions with equal sign is called as Equation.
Given,
(m/n)(x) for x=-3
i.e means we need to find (m/n)(-3)
So we have to calculate by putting -3 in to two functions m and n.
(m/n)(-3)=m(-3)/n(-3)
Therefore (m/n)(x) for x=-3 is (m/n)(-3)=m(-3)/n(-3).
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Find CD if KD=x+1 And KC=2x-1
Answer:
B) 2
Step-by-step explanation:
Is BK bisecting CD?
x + 1 = 2x -1 Subtract x from both sides
1 = x -1 Add 1 to both sides
2 = x
4. A parcel of land is subdivided into five building lots as
shown below. What fractional part of the total area of the
parcel of land is represented by each of the five lots?
Express answers in lowest terms.
LOT #2
AREA =
19,750 sq ft
LOT #1
AREA =
15,000 sq ft
LOT #3
AREA =
14,500
sq ft
LOT #4
AREA =
17,875
sq ft
LOT #5
AREA =
16,625
sq ft
[4 marks]
The fractional representation of each plot is given by 12/67 , 79/335 , 58/335 , 143/670 and 133/670 .
A fraction denotes a component of a whole or, more broadly, any number of equal pieces. A common or simple fraction is made up of a non-zero denominator that is displayed below (or after) the line that the numerator is displayed above (or before a slash, as in the case of 12). Compound fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.
The total area of the lot is given by (19750+15000+14500+17875+16625) =83750 square feet.
Fractional representation of Lot 1= 15000 ÷ 83750 = 12/67
Fractional representation of Lot 2= 19750 ÷ 83750 = 79/335
Fractional representation of Lot 3= 14500 ÷ 83750 = 58/335
Fractional representation of Lot 4= 17875 ÷ 83750 = 143/670
Fractional representation of Lot 5= 16625 ÷ 83750 = 133/670
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What is the factored form of the polynomial?
x² - 12x + 27?
O(x+4)(x
+ 3)
O(x-4)(x
+ 3)
O(x + 9)(x + 3)
O(x-9)(x-3)
Answer:
D. (x-9)(x-3)
PLEASE MARK AS BRAINLIEST!!!
CAN YOU ANSWER NUMBER 30? THANK YOU
Answer:
the slope is -5/2 and the y-intercept is (0,-3)
Step-by-step explanation:
Answer:
y = -5/2x - 3
Step-by-step explanation:
First you distribute, -5/2 or -2.5 (x +4)
Which results in y - 7 = -2.5x + -10
and then add +7 to both sides
y = -2.5x + (-3 )
Turn x into a fraction and:
y = -5/2x - 3 The last answer choice
i t h i n k
Evaluate squareroot of
61.73²-38.27²
Answer:
48.43552415324934
Step-by-step explanation:
61.73²-38.27² = 2346
[tex]\sqrt{2346}[/tex] = 48.43552415324934
my number has 2 periods. There are digits 8,7,4 in that order and 4,2,3 in that order. what is my number?
The required number is 874 and 423.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
My number has 2 periods, There are digits 8,7,4 in that order and 4,2,3 in that order.
According to given question we have
First period=4(Ones) , 7(Tens) , 8(Hundreds)
Number Hundred Tens Ones
874 8 7 4
Second Period =3(Ones) , 2(Tens) , 4(Hundreds)
Number Hundred Tens Ones
423 4 2 3
Therefore, the required number is 874 and 423.
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The Gomez family has 3 dogs and 2 birds. What fraction of the pets are birds?
Answer:
2/5
Step-by-step explanation:
if there’s 5 pets and 2 of them are birds 2/5 of them are birds
Please help me I’m confused
[tex]she \: paid = 2(1.69) + 1(1.49) + 1(1.09) + 0.68=6.64 \\ change = 10 - 6.64 = 3.36[/tex]
If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are
a. substitutes.
b. complements.
c. normal goods.
d. inferior goods.
e none of the above
If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The statement "If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes"
Substitutes are two goods that can be used in place of each other for a similar purpose.
In this case, if the price of blue jeans increases, consumers may switch to buying more tennis shoes instead, since they serve a similar purpose in terms of clothing.
Complements are two goods that are used together, such as peanut butter and jelly.
Normal goods are goods whose demand increases as income increases, while inferior goods are goods whose demand decreases as income increases.
Hence, If an increase in the price of blue jeans leads to an increase in the demand for tennis shoes, then blue jeans and tennis shoes are substitutes.
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What expression is equivalent to 5^0 • 5^3 A: 0. B:1. C:5^3. D:1/5^3
Enter the difference in feet between the elevation at Zabriskie Point and Badwater Basin
The distinction in feet between the elevation at Zabriskie purpose and Badwater Basin is 930 feet.
Subtraction is associate degree operation wont to realize the distinction between numbers. Difference: the ultimate result once subtracting the number from the number.The image of the amount line of the question is given below.
From the image , we are able to see that
Zabriskie purpose is at 648 feet and Badwater Basin is at - 282 feet.
The distinction between these points is given by
= 648 - (-282)
= 930 feet
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The complete question is mention below :
The number line shows four elevations in Death Valley National Park.Enter the difference ,in feet between the elevation at Zabriskie Point and Badwater Basin .
A tree is 5 feet and 10 inches tall how tall is it in inches
Answer:
70 inches
Step-by-step explanation:
remembering that 1 foot is 12 inches, you would do 12 inches multiplied by 5 feet. 12x5=60. After adding 60 inches to the remaining 10 inches, you get 70 inches. The tree is 70 inches tall
A dealer sold two oven for rupees 18000 each one one he gain 20% and on other he lost 20% find his loss or gain percent on the whole transaction
Answer:
0%
Step-by-step explanation:
The gain on the first oven = 18000 x 20% = 18000 x 20/100
= 18000 x 0.2 = 3600. Since it is a gain, we have to add this number
So selling price = 18000 + 3600 = 21600
The loss on the second oven is also the same 18000 x 0.2 = 3600. This time, it being a loss, selling price = 18000-3600 Total= 14400
The total before sales price of both ovens C = 18000 + 18000 = 36,000
Total sold price S = 14, 400 + 21,600 = 36000
So net gain/loss = S - C = 36000 - 36000 = 0
So net gain/loss as percent = 0%
19.7 1. Jake found the hypotenuse of a right triangle to be an irrational number. Which of the following could be the number he found? O√16 O 12/13 O √2 k
Answer:
√2
Step-by-step explanation:
An irrational number is one that cannot be expressed as p/q where both p and q are integers
Square roots of numbers which do not result in an integer are irrational
So it is the last choice √2
2. How is the sentence "9 less than x is-1" written as an equati
Answer:
x - 9 = -1
Step-by-step explanation:
When you see less than you switch the numbers. So, for instance, it says 9 less than x means x-9
Help me fast. somone please thanks <3
Answer:
[tex]6\frac{1}{9}[/tex]
Step-by-step explanation:
You said you needed the answer fast if you want I cant still give an explination.