If the number is supposed to be
[tex]a^n + a^{n+1} + a^{n+2} + a^{n+3} + a^{n+4}[/tex]
then it can be factorized as
[tex]a^n \left(1 + a + a^2 + a^3 + a^4\right)[/tex]
but there's not much to say about divisibility here without any more information about a.
If you meant
[tex]a^n + (a^n+1) + (a^n+2) + (a^n+3) + (a^n+4)[/tex]
simplifying gives
[tex]5a^n + 10 = 5 (a^n+2)[/tex]
which is clearly divisible by 5.
How much time has passed 8:15 to 2:30
Answer:
The time passed between 8:15 to 2:30 is 6 hours 15 minutes.
What is the median of the followng set of number 1,6,8 and 10
The answer is 2.5
Step-by-step explanation:
Formula = (N + 1 / 2th) term
So,
Total numbers (N) = 4
Now,
(N + 1 / 2th) term
= (4 + 1 / 2th) term
= (5 / 2th) term
= (2.5th) term
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What factors of -6 have the sum of -5
Answer:
-6 and 1
Step-by-step explanation:
-6*1=-6
-6+1=-5
Calculate the straight line distance between the points (-10, -7) and (-8,1).
G.2(B)
Answer:
2√(17) or about 8.2462 units.
Step-by-step explanation:
We want to determine the distance between the two points (-10, -7) and (-8, 1).
We can use the distance formula. Recall that:
[tex]\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Substitute and evaluate:
[tex]\displaystyle \begin{aligned} d &= \sqrt{((-10)-(-8))^2 + ((-7) - (1))^2} \\ \\ &=\sqrt{(-2)^2+(-8)^2} \\ \\ &= \sqrt{(4) + (64)} \\ \\ &= \sqrt{68}\\ \\ &= 2\sqrt{17}\end{aligned}[/tex]
Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.
[tex] \qquad \qquad\large\rm{Together \: We \: Go \: Far!} \\ \qquad \qquad \sf \small{\red{♡}\:Swifties\:\red{♡}}[/tex]
Question :-
Calculate the straight line distance between the points (-10, -7) and (-8, 1).Answer :-
The straght line distance between the two points is 8.2462 units.[tex] \rule{200pt}{3pt}[/tex]
Solution :-
As per the provided information in the given question, we have been given that:
[tex](x_1, y_1) = (-10, -7)[/tex][tex](x_2, y_2) = (-8, 1)[/tex]To calculate the distance between the two points, we will apply the formula below:
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \: \: }}[/tex]
Substitute the given values into the above formula and solve for d:
[tex]\sf:\implies{ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{[-8 - (-10)]^2 + [1 - (-7)]^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{(2)^2 + (8)^2}}[/tex]
[tex]\sf:\implies{d = \sqrt{4 + 64}}[/tex]
[tex]\sf:\implies\bold{d = \sqrt{68} \approx 8.2462 \: units}[/tex]
Therefore :-
The straght line distance between the two points is 8.2462 units.[tex]\\[/tex]
Learn more about the distance formula at https://brainly.com/question/25841655
Have a great day! <33
12 4 + 2 X 3 Evaluate 2 O A) 11 OB) 13 OC) 20 OD) 27
4 + 2 · 3² = 4 + 2 · 9 = 4 + 18 = 22
22 : 2 = 11
Answer → A)
If a distribution is skewed to the right with no outliers, which expression is correct?
mean < median
mean ≈ median
mean = median
mean > median
We can’t tell without examining the data.
Answer:
Mean>Median
Step-by-step explanation:
A right skewed distribution with no outliers will have it's mean value greater than the median ( mean > median)
A distribution is said to be right skewed if it's peak is to the left such that it has a long tail to the right.
Conversely, a distribution with it's peak to the right such that it has a long tail is said to be left skewed.
Using the analogy of a boxplot, a right skewed distribution will have it's box to the left and a longer whisker to the right. This means that the median point which is the vertical line in between the box will be lesser than the mean value.
Median < mean = mean > median
Learn more : https://brainly.com/question/3907939
Please help i will give extra points
Answer:
20
Step-by-step explanation:
solve expression like in the image attached
the radius of a circle is 3 in . find area to the nearest tenth
The radius r = 3 in
Area of circle = πr² = 3.14*3*3= 28.26 in²
(5.01 x 10^5) / (7.8 x 10^2)
Answer:
numerator; 5.01×(10^5)= 5.01×100000
denomenator ; 7.8×(10^2)= 7.8×100
therefore : 501000/780
= 642.3077 answer
Which product is negative?
Answer:
Second answer
Step-by-step explanation:
first answer: 4 negative numbers multiplied = 2 postive numbers multipled = 1 positive number
second answer: 3 negative numbers multiplied = 1 positive number multiplied by 1 negative number = 1 negative number
third answer: Negative and positive numbers multiplied by zero = 0
fourth answer: 2 negative numbers multiplied by 2 positive numbers = 1 positive number multiplied by 1 positive number = positive number.
-6 * -6 + 7 * -6 + 8
Answer:
0
Step-by-step explanation:
The * means multiplication where the ^ means exponents, so you multiply in this case.
-6 * -6 = 36
Two negatives equals a positive.
PEMDAS shows that multiplication and division occurs first so...
7 * -6 = -42
36 + -42 + 8
-8 + 8
= 0
You can search it up to see what PEMDAS is.
The process of translating phrases or sentences into algebraic expressions or equations is called
Answer:
Modeling with Linear Equations
In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called
Answer:
Modeling with Linear Equations
In this section, you will use algebra to solve problems that occur in real-life situations. The process of translating phrases or sentences into algebraic expressions or equations is called
Step-by-step explanation:
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7th grade math find the volume of the solid
Answer:
252 Inches cube
Step-by-step explanation:
So for this question you need to find the area of cross section which is the H,
2 Times (3 Inches by 7 Inches) {The 2 same shape}
+
3 Inches by 7 Inches {The middle shape}
For the H Shape = 63 Inches Square
Then you'll time the lenght which is given 4 Inches
63 Inches square ×4 Inches
252 Inches Cube
The volume of this shape will be 252 Inches cube
Hope this helps dont hesitate to ask any question!!
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To evaluate the following expression, what step should you do first? 7 X (4 + 16) = 4 - 2
Answer:
Remember BODMAS
Bracket first, then division, then multiplication, then addition, then substraction
Answer:
PEMDASStep-by-step explanation:
In order to evaluate the expression, use PEMDAS. It stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.7 × (4 + 16) ÷ 4 - 2 7 × 20 ÷ 4 - 2 = ?140 ÷ 4 - 2 = ?35 - 2 = ?32[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
4(x − 3) = 8
solve please
Answer:
x = 5
Step-by-step explanation:
4(x - 3) = 8
=> x - 3 = 8/4
=> x - 3 = 2
=> x = 2 + 3
=> x = 5
3x(2 + 5y)?
What is the correct formula to get the correct answer ?
Answer:15xy+6x
Step-by-step explanation:
3x(5y+2)
15xy+6x
0.066 rounded to the nearest cent
Write 2 1/4 miles in 3/4 hour as a unit rate.
6 3/4 per hour or, in an hour
2 1/4 miles in 3/4 of an hour
2 1/4 miles = 9/4 miles in 1/3 of hour
9/4 miles divided by 1/3 hr
9/4 ÷ 1/3
Remember: Keep, Change Flip
9/4 x 3/1 = 27/4
Simplify:
27/4 = 6 3/4
So,
6 3/4 in one hour
I hope this helps!
A box has 59 cubic inches we need to find what is the length and width and also height explain how you got the answer and also solve the problem
Answer:
59÷4
you will find the answer
What is the difference between the mass of a solid and the mass of a liquid?
Answer:
A solid is a form of matter characterized by a particular shape that also has volume. A liquid, on the other hand, has volume but no exact shape, taking the shape of its container. The molecules in solid matter are compressed as its molecules are closely bound together and can only vibrate.
Fatore a expressão algébrica a seguir:
20x³ y³ + 10x² y² + 2xy
Answer:
[tex]32 {x}^{6} {y}^{6} [/tex]
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 in, find its area
Answer:
The perimeter of a rectangle is the sum of all of it’s sides. Since a rectangle has 2 lengths of the same size and two widths of the same size, the perimeter is length + length + width + width, or 2(length) + 2(width), or, to make it shorter, 2l + 2w.
Since the length of the rectangle (l) in this scenario is really 4w, we can replace those, and get 2(4w) + 2w, and since we know the total is 50, we can say 2(4w) + 2w = 50.
Using the distributive property, we get 8w + 2w = 50, and 10w = 50, or w = 5. Since the length is 4w, the length is 4*5 = 20.
To find the area, you multiply length and width to get 5 * 20 = 100 sq meters.
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number 15. The digit in the hundred thousands place has 10 times the value it would have if it was in the (blank) place.
Answer:
ten thousands place
Step-by-step explanation:
10,000 × 10 = 100,000
Solve the equation
5(x + 8) = 4(x - 8) + x
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution.
9514 1404 393
Answer:
A. the solution is x = -72
Step-by-step explanation:
Eliminating parentheses gives ...
5x +40 = 4x -32
x = -72 . . . . . . . . . . . subtract (4x+40)
There is one solution: x = -72.
Given are the slopes of several lines. Indicate whether each line is horizontal, vertical, rises from left to right, or falls from left to right.
Answer:
Rises from left to rightVertical LineHorizontal LineFalls from left to rightStep-by-step explanation:
Keep in mind we read graphs from left to right just like how we read and write.
A positive slope will be increase from left to right. A negative slope with decrease left to right. A vertical line will have a undefined slope.A horizontal line will have a slope of 0.We can use those tips to solve the problem.
Option A:
4/5 is a positive slope so it will rise from left to right.
Option B:
No slope automatically means "undefined" so that falls in the definition of a vertical line.
Option C:
A slope of 0 is defined as a horizontal line.
Option D:
-4/5 is a negative slope so it will fall from left to right.
Best of Luck!
What is the approximate value of each radical expression to the nearest tenth?
Drag and drop the answer into the box to match each radical expression.
Answer:
19−−√ 4.4
23−−√ 4.8
37−−√ 6.1
Step-by-step explanation:
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The value of the radical expressions is given below:-
√19 = 4.4
√23 = 4.8
√37 = 6.1
What is a radical expression?Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The radical expression is one in which all the numbers are represented in the form of the roots.
The given expressions are √19,√23, and √37. The value of the radical expressions are given below:-
√19 = 4.4
√23 = 4.8
√37 = 6.1
Therefore, the answers are given above.
To know more about radical expressions follow
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Lol help What is 3.5 × 1.2 =
Answer:
4.2
Step-by-step explanation:
3.5 x 1.2 = 4.2
Answer:
3.5 x 1.2 = 4.2
Step-by-step explanation:
Write a addition equation or a subtraction your choice to section your diagram
Answer:
7 - 2 = 5
Step-by-step explanation:
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Fun Fact: The hagfish is the only animal that has a skull but no spine.
1 1/11 rewrite each number as a single fraction greater then one
Answer:
12/11
Step-by-step explanation:
11/11=1
1/11=1/11
11/11+1/11=12/11
[tex]1\frac{1}{11}[/tex] rewritten as a single fraction is 12/11
[tex]1\frac{1}{11}[/tex] is a mixed fraction.
A fraction is a number that is made up of a numerator and a denominator.
A mixed fraction is made up of a whole number and a proper fraction. A proper fraction is a fraction that is made up of a numerator that is less than a denominator.
For example, [tex]\frac{1}{11}[/tex] is a proper fraction. The numerataor,1, is less than the denominator, 11.
We are to convert the mixed fraction to an improper fraction. An improper fraction is a fraction that its numerator is greater than the denominator.
In order to convert to an improper fraction, take these steps
multiply the whole number with the denominator ( 1x 11) = 11Add the numerator to the answer gotten in the previous step = 11 + 1 = 12 Divide the answer gotten in the previous step by the denominator : 12/11A similar question was answered here: https://brainly.com/question/14549871?referrer=searchResults
I really do need help solving this equation
Answer:
D
Step-by-step explanation:
3/5 = 0.6
75% = .75
0.8, 0.75, 0.6, 0.56