Answers
Answer:
Step-by-step explanation:
23) a) n - (n+1)
Remove the parenthesis by multiplying (n+1) by (-1)
n - (n+1) = n - n - 1 = -1
b) n(n+1) = n*n + n*1
= n² + n
c) When we are adding the two numbers it is,
n² + n - 1. This will always be odd because n² + n will always be even and when we subtract 1 from that it will be odd
Example: Take n = 3
n² + n = 3*3 + 3 = 9 + 3 =12; So, n² + n -1 = 12- 1 =11 --> odd
When n = 7
n² + n = 49 + 7 = 56 ; So, n² + n -1 = 56-1 = 55 ---> odd
When n =8
n² + n = 64 + 8 = 72; So, n² + n -1 = 72 -1 = 71
When n = 16
n² + n = 256 +16 = 272 ; So, n² + n - 1 = 272 - 1 = 271 ----->odd
Related Questions
Evaluate the variable expression for x = 5, and enter your answer in the box
below.
6.(x- 9) - 5
Answers
The value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
To evaluate the variable expression for x = 5, we simply substitute 5 for x in the expression.
6.(x- 9) - 5 = 6.(5- 9) - 5
= 6.(-4) - 5
= -24 - 5
= -29
Therefore, the value of the variable expression 6.(x- 9) - 5 when x = 5 is -29.
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In a Bag there are four white marbles and four blue marbles. if two marbles are drawn out at the same time what is the probability that both marbles it will be white
Answers
Answer:
1/8
Step-by-step explanation:
Answer:
4 out of the 8
Step-by-step explanation:
Because there are 8 marbles total in the bag and only 4 of them are white.
Joel biked 9 miles east and then 12 miles north. If he
biked back to his starting point using the most direct
route, how many miles would he ride all together?
Answers
Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
36
Step-by-step explanation:
Simplify the expression.
18a + 12x − 12a + 15x
A) 6a + 27x
B) 6a − 3x
C) 30a − 18x
D) −30 −3x
Answers
Answer:
6a+27x
it's simple math there is no work needed
Answer: A. 6a +27x
combine like terms
18a - 12a
12x + 15x
2 Points
Sara starts walking at noon at a speed of 4 miles per hour. Eddie leaves the
same place an hour later and walks in the same direction at a speed of 5
miles per hour. What time will Eddie catch up with Sara?
O
A. 5 p.m.
O B. 6 p.m.
O c. 3p.m.
O D. 4p.m.
SUBS
Answers
Let x represent number of hours after noon.
We have been given that Sara starts at noon and walks at a speed of 4 miles per hour. So distance covered by Sara in x hours would be [tex]4x[/tex].
We are also told that Eddie leaves the same place an hour later. This means that Sara will be 4 miles ahead of Eddie as Sara will travel 4 miles in 1 hour.
As Eddie walks in the same direction at a speed of 5 miles per hour. So distance covered by Eddie in x hours would be [tex]5x[/tex].
Total distance covered by Sara when Eddie will start would be [tex]4x+4[/tex].
Now we will equate distance covered by both in x hours as:
[tex]5x=4x+4[/tex]
Let us solve for x.
[tex]5x-4x=4x-4x+4[/tex]
[tex]x=4[/tex]
Since x represents number of hours after noon, so 4 represents 4 hours after noon.
Therefore, Eddie will catch up with Sara at 4:00 pm and option D is the correct choice.
Answer: D
Step-by-step explanation: Is too much to explain
Find the value of x that makes this equation true, just write a number for your answer. Use / for writing fractions
3/5 + x = 2/3
Answers
Answer:
1/15
Step-by-step explanation:
The first thing to do is to change both denominators so that they're the same. In this case, that would be 15.
Then, whatever you do to the denominator, you must also do to the numerator.
[tex]\frac{9}{15}[/tex] + x = [tex]\frac{10}{15}[/tex]
X = 1/15
explanation: because it is for sure
How do you solve number #4?
Answers
Answer:
b
Step-by-step explanation:
Area of the shaded region =[ (3x-2)(x+3) ] - [ x*6 ]
= 3x*x +3x*3 + (-2)*x + (-2)*3 - 6x
=3x² + 9x - 2x - 6 - 6x {bring like term together}
=3x² + 9x - 2x - 6x - 6
= 3x² + x - 6 {9x - 2x - 6x = 9x - 8x = x}
Area = 24 square units
3x² + x - 6 = 24
3x² + x - 6 - 24 = 0
3x² + x - 30 = 0
Product = 3* -30 = -90
Sum = 1
Factors = 10 , (-1)
3x² + x - 30 = 0
3x² - 9x + 10x - 10*3 = 0
3x*(x - 3) +10*(x - 3) = 0
(x-3)(3x +10) = 0
3x + 10 is ignored because measurements will not be in negative values.
x - 3 = 0
x = 3
A snow cone holder is a cone with diameter of 3 inches and a height
of 3 inches. What is the volume of the snow cone holder?
Select one:
O
O
277 in
34 in
Answers
Calculate the volume of the rectangular prism.
Answers
Answer:
189 cm³
Step-by-step explanation:
V = lwh
V = 9*7*3
V = 189 cm³
Hope this helped! :)
Answer:
V =189 cm^3
Step-by-step explanation:
V = l*w*h
V = 3 cm* 9 cm * 7 cm
V =189 cm^3
American Football: A quarterback throws a pass from the 12-yard line, 11 yards from the sideline. A wide receiver catches the pass on the 34-yard line, 40 yards from the same sideline. How long is the pass?
Answers
Answer:
36.4 yards
Step-by-step explanation:
The coordinates of origin is (12, 11) while coordinates of final landing is (34, 40)
Considering two points, x1, y1 and x2, y2, the distance between them is given by
[tex]d=\sqrt {(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
Similarly, the distance between these two given points will be
[tex]d=\sqrt {(34-12)^{2}+(40-11)^{2}}\\d=36.4005494464026\approx 36.4 yd[/tex]
Therefore, the distance is 36.4 yards
Round to the underlined place.
Answers
Answer:
158
Step-by-step explanation:
Find the missing lengths of the sides.
Answers
Answer:
The second bubble
Step-by-step explanation:
In a 30 60 90 triangle as shown here a is always 1/2 the hypotenuse (Which the hypotenuse is 6) and then just add [tex]\sqrt{3}[/tex] to the end of it to get b
So, lets demonstrate
a = 1/2 * 6 = 3
b = a*[tex]\sqrt{3}[/tex] = a[tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]
So,
a = 3
b = 3[tex]\sqrt{3}[/tex]
If the area of parallelogram ABCD is 27 square feet, what is the area of triangle ABC?
A. 13.5 ft 2
B. 27 ft 2
C. 13 ft
D. 54 ft 2
Answers
Answer:
13.5 ft2
Step-by-step explanation:
At = Ap/2
= 27/2
= 13.5 ft2
Megan has A quarters and B dimes with a total value of $1.95, where A and B are both counting numbers. How many different values of A can Megan have?
Answers
Answer: The number of quarters can be 1, 3, 5 or 7
Step-by-step explanation:
Megan has A quarters and B dimes.
The value of a quarter is $0.25 and the value of a dime is $0.10
Then we have that:
A*$0.25 + B*$0.10 = $1.95
We want to know the different possible values of A.
Now, it is usefull to see the different multilpes of 0.25 (this is the odd multyples of 0.25) we only care for the ones that have a 5 in the undredth place, becauses we only can ad multiple of $0.10, so the 5 in the undredth place needs to come from this
Then the possible values of A are the odd numbers such that A*0.25 is smaller than 1.95, let's do the math:
0.25*1 = 0.25 (here 1.95 - 0.25 = 1.70, then B = 1.70/0.10 = 17) the pair is B = 17 and A = 1
0.25*3 = 0.75 (here 1.95 - 75 = 1.20, then B = 1.20/0.10 = 12) the pair is B = 12 and A = 3.
0.25*5 = 1.25 (here 1.95 - 1.25 = 0.70, then B = 0.70/0.10 = 7) the pair is B = 7 and A = 5
0.25*7 = 1.75 (here 1.95 - 1.75 = 0.20, then b = 0.20/0.10 = 2) The pair is B = 2 and A = 7
WILL GIVE BRAINLIEST
The ratio of the length of an arc "a" to the ____ of a circle is equal to the ratio of the degree measure of the arc to ___ degrees
Answers
Answer:
see explanation
Step-by-step explanation:
In any circle the ratio of the arc length to the circumference of the circle is equal to the degree measure of the arc to 360°
Which equation is equivalent to Two-thirds x minus StartFraction 5 Over 6 EndFraction = negative StartFraction 5 Over 12 EndFraction x + one-fourth?
Answers
Answer: 2/3x-13/12=-5/12x
Step-by-step explanation:
The equivalent equation is (8x + 5x)/12 = (3 + 10)/12 and x = 1.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
(2/3)x - 5/6 = -(5/12)x + 1/4
Add like terms.
(2/3)x + (5/12)x = 1/4 + 5/6
(8x + 5x)/12 = (3 + 10)/12
13x / 12 = 13/12
x = 1
Thus,
x = 1
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can somebody solve this for me?
Answers
Answer:
its C
Step-by-step explanation:
each number in j is half of the corresponding number in r as specified in the question
95feet covert to meters to the nearest tenth
Answers
2. Beth covered a picture with unit squares. Each unit square is 1 square
inch. The area of Adam's picture is 12 square inches more than the area
of Beth's picture. The length of Adam's picture is 7 inches.
Answers
Answer:
Beth area=16 in²
Adam width=4 in
Step-by-step explanation:
Considering the attached image, Beth's area will be 4*4=16in²
Since Adams area is 12 more then his area will be 12+16=28 in²
Since area is given as A=lw where l is length and w is width then
28=7w
w=28/7=4 in
The attached figure is used for question parts
Final answer:
The area of a larger square with side lengths twice that of a smaller square is four times greater. This is because the scale factor for areas is the square of the scale factor for lengths, leading to an area of 64 square inches for the larger square, compared to 16 square inches for the smaller one.
Explanation:
When Marta has a square with a side length of 4 inches and then creates a similar square with dimensions that are twice the first square, we are working with a scale factor in geometry. As the new square has side lengths that are twice that of the original square (4 inches x 2 = 8 inches), the area of the larger square will be greater than that of the smaller square. To find the area of the larger square, we square the side length (8 inches x 8 inches), which gives us 64 square inches. This is exactly four times the area of the first square (4 inches x 4 inches = 16 square inches), since the scale factor for the areas of similar figures is the square of the scale factor for their corresponding lengths.
In the context of the examples given, this principle applies to understanding how the area of shapes scales when their dimensions are proportionally increased or decreased. The scale factor can be used to calculate dimensions or area of similar figures in various geometric problems.
Determine the area of the composite figure to the nearest whole number.
A)
9 ft²
B 11ft2
C 13 ft2
D 17ft2
Answers
Answer:
C
Step-by-step explanation:
The area of the composite figure to the nearest whole number is 13 ft².
What is area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
Given:
Radius= 2 feet
As, Area of a single Quadrant = πr²/4
and, For 3 semi circle
= πr²/4 + πr²/4 + πr²/4 or 3 (πr²/4)
= 3 x 3.14 x 2 x 2 /4
= 9.42 ft²
and, Area of Square
= s x s
= 2 x 2
= 4 ft²
So, the Area of Figure = 4 + 9.42 = 13.42 ft²
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What is the value of a $2500 investment after it has grown by 6.3% for 10 years?
Answers
Answer: The value of the investment would be $4,075
Step-by-step explanation: The initial investment, that is, the principal is given as $2500, and it was invested for a period of 10 years at the rate of 6.3%. Using the simple interest calculation formula, the investment would have a present value as follows;
Interest = P x R x T
Where P = amount invested (2500), R = rate of interest (6.3 or 0.063) and T = number of years (10)
Interest = 2500 x 0.063 x 10
Interest = 1575
The value of the investment at 6.3% after 10 years is now;
Initial investment + Interest
2500 + 1575 = 4075
Therefore the value of the investment is $4,075
Nathan took his car in for service and repairs. He had a coupon for 15% off. Original Prices • Labor $262.40 • Parts $304.46 • Other $76.04 Which amount is closest to Nathan's total costs after the 15% discount and including 7% sales tax? [Assume tax is applied after the discount is applied.]
Answers
Answer:
$584.72
Step-by-step explanation:
$262.40+$304.46+$76.04 = $642.90
$642.90 - ($642.90 * 15%) = $546.47
$546.47 + ($546.47 * 7%) = $584.72
Potter's lemon cookie recipe calls for 4 cups of sugar. How much sugar would Porter use to make 1/3 of a batch of cookies
Answers
The distance from home plate to left field in a model of a baseball stadium measures 16.4 in. The scale of the model to the actual stadium is 1:232. What is the distance from home plate to left field in the actual stadium to the nearest foot?
Answers
Answer:
317
Step-by-step explanation:
Since the ratio is 1:232, multiply 232 by 16.4:
[tex]232*16.4=d[/tex]
[tex]d=3804.8 in[/tex]
Divide by 12 to find the feet
[tex]3804.8[/tex]÷[tex]12=d[/tex]
[tex]d=317.066[/tex]
Round to the nearest foot
[tex]d=317[/tex]
Final answer:
To find the actual stadium distance from home plate to left field, convert 16.4 inches to feet and then multiply by the scale factor of 232, resulting in approximately 317 feet.
Explanation:
The student is asking how to convert a scale model measurement to the actual size measurement. Given the scale of 1:232 and the model's distance from home plate to left field as 16.4 inches, we can find the actual stadium distance by multiplying the model measurement by the scale factor.
First, convert inches to feet: 16.4 inches × (1 foot / 12 inches) = 1.3666667 feet (rounded to seven decimal places).
Then multiply by the scale factor to get the distance in the actual stadium: 1.3666667 feet × 232 = 317.0666674 feet, which we round to 317 feet to the nearest foot.
Therefore, the distance from home plate to left field in the actual stadium is approximately 317 feet.
A rectangular prism with a length of 1 meter, width of 3 meters, and height of 2 meters.
The area of each of the bases will be ___ m2.
The area of the right and left lateral faces will be ___ m2.
The area of the front and back lateral faces will be ___ m2.
The lateral area of the prism will be ___ m2.
The surface area of the prism is 22 m2.
Answers
Answer:The area of the base will be (1)(3) m
The area of the right and left lateral faces will be (1)(2) = 2m
The area of the front and back lateral faces will be (2)(3) = 6m
The lateral area of the prism will be 16 m
Step-by-step explanation:
Answer:
1. (1)(3) = 3m
2. (1)(2) = 2m
3. (1)(6) = 6m
4. 16m
Step-by-step explanation:
This is Correct On Edge 2020
Hope This Helps
Have A Blessed Day
What is the midpoint value of a data set, where the values are arranged in ascending or descending order?
A) Mode
B) Outlier
C) Median
D) Mean
E) Center of data
Answers
Answer:
Median
Step-by-step explanation:
Remember ...
Mean = Average
Median = Middle
Mode = Most (the number that appears most)
Final answer:
The midpoint value of a data set arranged in order is the median, which is the central value dividing the dataset into two halves.
Explanation:
The midpoint value of a data set, where the values are arranged in ascending or descending order, is known as the median. The median is the value that divides the dataset in half so that there are an equal number of values above and below it. In a dataset with an odd number of data points, the median is the middle value. For an even number of data points, the median is the average of the two central values. The mode is the most frequently occurring value in a set, while an outlier is an observation that is significantly different from the rest of the data. The mean represents the average of all values in the data set.
Choosing the appropriate measure of the center of data — whether mean, median, or mode — depends on the specific characteristics of the dataset, such as the presence of outliers and the distribution shape. The median is especially useful when the dataset contains outliers that may skew the mean.
6) The length of a rectangle is 2 inches more than twice its width. Write an
equation relating the length of the rectangle to its width w. *
Answers
Answer:
2w + 2
Step-by-step explanation:
Width = w
Twice its width = 2*w =2w
2 inches more than twice its width = 2w + 2
Length = 2w + 2
Please help!!! I NEED HELP!
A triangular pyramid has a triangular base with a height of 4 inches and a base length of 7 inches. The height of the pyramid is 6 inches. What is the volume of the pyramid in cubic inches?
(Recall the formula V = one-third B h.)
A. 14
B. 56
C. 28
D. 42
Answers
Answer:
the answer is 28
Step-by-step explanation:
i guessed ngl
Answer:
Bb 2ent option 28
Step-by-step explanation:
If two concentric circles have radii of 4 cm and 5 cm, how much longer, in cm, is the intercepted arc in the larger circle than an intercepted arc in the smaller circle for a central angle that is π2 radians?
Answers
Answer:
[tex]\dfrac{\pi}{2} cm[/tex]
Step-by-step explanation:
Given two concentric circles where:
Radius of the Larger Circle =5Radius of the smaller circle=4Length of the intercepted arc for a central angle of [tex]\dfrac{\pi}{2} =\dfrac{\frac{\pi}{2} }{2\pi} X2\pi r=\dfrac{\pi r}{2}[/tex]
For the larger circle of radius 5cm, Length of the intercepted arc[tex]=\dfrac{5\pi}{2}[/tex]
For the smaller circle of radius 4cm, Length of the intercepted arc[tex]=\dfrac{4\pi}{2}[/tex]
Difference in Arc length
[tex]=\dfrac{5\pi}{2}-\dfrac{4\pi}{2}\\=\dfrac{\pi}{2} cm[/tex]
The difference in arc lengths between the two concentric circles for a central angle of π/2 radians is approximately 1.57 cm.
To compare the lengths of arcs intercepted by the same central angle in two concentric circles, we use the formula for arc length, which in a circle is a portion of its circumference that corresponds to the central angle. For a central angle π/2 radians, the arc length is given by (rθ), where r is the radius of the circle and θ is the central angle in radians.
For the smaller circle, the arc length is 4 cm × π/2 = 2π cm, and for the larger circle, it is 5 cm × π/2 = 2.5π cm. The difference in arc lengths is 2.5π cm - 2π cm = 0.5π cm. Using the approximate value of π as 3.14159, the difference in arc lengths is approximately 1.57 cm.
Solve for x: [x - 2 + 10 = 12
Answers
Answer:x-2+10=12
We move all terms to the left:
x-2+10-(12)=0
We add all the numbers together, and all the variables
x-4=0
We move all terms containing x to the left, all other terms to the right
x=4
Step-by-step explanation: