Answer:
229
Step-by-step explanation:
100+40+6+80+3
ok why is your math so easy
Which geometric series diverges?
Answer:
is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that agrees with the formula for the convergent case
Step-by-step explanation:
Answer:
If |r| >= 1 then the above geometric series diverges. If the above series converges, then the remainder RN = S - SN (where S is the exact sum of the infinite series and SN is the sum of the first N terms of the series) is bounded by 0< = RN <= (N.. ) f(x) dx.
Step-by-step explanation:
stretch by 1/3, shift up 4 and left 5
Step-by-step explanation:
Example: (1,4) (2,5) (3,4) triangle
Stretch by 1/3, shift up 4, and left 5
Find the area of the triangle/square/shape.
Multiply by 1/3
Move the answer by 4 spaces up.
Then, to the left.
what is the slope of a line that contains the points (-1, -1) and (3, 15)
Answer:
4
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
1 + 15\1 + 3 = 4
16 4
I am joyous to assist you anytime.
9+7 x 5 solution please
Answer:
44
Step-by-step explanation:
Answer:
the answer is 44
Step-by-step explanation:
Which fraction is equivalent to 1/8
Answer: 2/16
Step-by-step explanation:
If we multiply 1/8 time 2/2(which is equal to 1) we get 2/16
Answer:
5/40
Step-by-step explanation:
PRACTICE AND PROBLEM SOLVING
Explain why the triangles are similar and write a similarity sta
atement.
Answer:
Because they are
Step-by-step explanation:
they ar4
Triangles are similar if their angles are congruent, supported by the AAA theorem. The similarity of triangles implies that the corresponding side lengths are proportional, which can be expressed algebraically or in words.
To justify that the triangles are similar, we look for congruent angles and proportional sides. The student indicated that the triangles have the same angles, which satisfies the AAA (Angle-Angle-Angle) similarity theorem. Because the angles are congruent, the sides are proportional, which means the ratios of corresponding sides are equal.
With words, we can express the relationship of corresponding lengths in similar triangles as the ratio of one triangle's side lengths to the other's. Algebraically, if we have corresponding sides a, b, and c from Triangle 1, and sides d, e, and f from Triangle 2, then a/d = b/e = c/f.
To solve for an unknown quantity, we algebraically isolate the variable in our equation, plug in the known values, calculate the answer, and then check to ensure the result is reasonable. For example, if we know sides a, b, d, and e, and we want to find side c, we would set up the proportion c/f = a/d, and after substituting the known values, we solve for c.
The two rectangles in the figure are similar. What is the value of x?
The value of x for the given rectangles is 15.
What are similar figures?When two figures in mathematics have the same shape but different sizes, those two figures are referred to as comparable figures. For instance, similar objects are seen in different-sized images of a person, such as a passport size, stamp size, etc., but they are not consistent. Two comparable shapes in geometry are those whose dimensions are equivalent or have a shared ratio but the width or length of their sides differ. Examples include similar triangles, similar rectangles, and similar squares.
Given two rectangles are similar,
so the ratio of their lengths is equal, according to similar figure property,
given dimensions of rectangle 1 is 14 and 10
dimensions of rectangle 2 ia 21 and x
so 14/21 = 10/x
x = 21 x 10/14
x = 15
Hence value of x is 15.
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only number 24 please
Answer:8 ft.
Step-by-step explanation:
Given: right Δ
it's 8 because you know the triangle is a right triangle which means that you can use the Pythagorean Theorem. which would be
x²= 10²- 6²
x²= 100-36
x²=64
x=8
or you can use the Egyptian triangle which is a right triangle that's sides are equal to 3,4,5. This triangle is just double the Egyptian triangle which means everything is times 2. So knowing that and that two sides of this triangle is double two sides of the other triangle, you'll find that the third side is 8, because:
6÷3=2
10÷5=2
so now proving its double you can multiply by four by two since the answer of the previous problems is two
4×2=8
The base of the wall is 8 feet from the bottom of the pole.
A football team starts with the ball at their own 20-yard line. They make two 6-yard gains in a row, then they have three 5-yard losses in a row. What yard line is the ball on at this point?
A driver swims 5.875 feet up to the surface of the water.Which number represents the driver position in relation to the surface before swimming to the top. A.-5.9 B. -5 3/4 C.-58 D.-5 7/8 feet
Answer:
-5 7/8 ft (Answer D)
Step-by-step explanation:
Note that 5.875 ft is the same as 5 7/8 ft.
The diver is initially 5 7/8 ft beneath the water surface, so we give that 5 7/8 ft the negative sign:
-5 7/8 ft represents the diver's position in relation to the surface.
The driver's position in relation to the surface before swimming to the top is represented by D. -5 7/8 feet. This is because in this scenario, a negative number signifies underwater depth.
Explanation:In mathematics, the term 'relation' is often used in the context of functions and refers to the way two sets of numbers are interconnected. In your scenario, a negative number is used to signify the driver's position underwater, while a positive number indicates their position above water. Therefore, if the diver swims 5.875 feet up to the surface, this would mean their original position was -5.875 feet. When expressed in decimal form, this would be -5.9, and when expressed in fractions, it would be -5 7/8 feet. Hence, the correct answer would be D. -5 7/8 feet.
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X : 6 = 10 : 150
X =
What does X equal?
Answer:
[tex]\large\boxed{x=\dfrac{2}{5}=0.4}[/tex]
Step-by-step explanation:
[tex]x:6=10:150\\\\\dfrac{x}{6}=\dfrac{10}{150}\qquad\text{cross multiply}\\\\150x=(6)(10)\\\\150x=60\qquad\text{divide both sides by 150}\\\\\dfrac{150x}{150}=\dfrac{60}{150}\\\\x=\dfrac{60\!\!\!\!\diagup}{150\!\!\!\!\diagup}\\\\x=\dfrac{6:3}{15:3}\\\\x=\dfrac{2}{5}=0.4[/tex]
SOR
16. Bob made a picture graph of the
marbles he and his friends have.
How many more marbles does
Bob have than Kayla? Explain how
you found the answer.
Ρε
Bob has 1 more marble than Kayla, calculated by subtracting Kayla's marble count from Bob's.
To determine how many more marbles Bob has than Kayla, we can subtract Kayla's number of marbles from Bob's. The calculation is straightforward: [tex]\(6 - 5 = 1\)[/tex]. Therefore, Bob has 1 more marble than Kayla.
In a visual representation of their marbles, Bob has 6 marbles, Malik has 3 marbles, and Kayla has 5 marbles. To find the difference between Bob and Kayla, we subtract Kayla's count from Bob's. The result, 1, indicates the additional marble Bob possesses compared to Kayla.
This is a simple arithmetic operation that reflects the concept of finding the difference between two quantities. In this case, the subtraction represents the surplus marbles that Bob has in comparison to Kayla. The positive result suggests that Bob has an extra marble beyond what Kayla possesses.
In summary, Bob has 1 more marble than Kayla, as determined by subtracting Kayla's marble count from Bob's. This simple arithmetic operation provides a clear understanding of the numerical difference in their marble quantities.
The question probable maybe:
(Given in the attachment)
Perform the indicated operation.
15 - 12
3
-3
-27
27
Final answer:
The result of the operation 15 - 12 is 3. The calculation involves simple subtraction where 12 is subtracted from 15. So the correct answer is A) 3.
Explanation:
To perform the indicated operation of 15 - 12, we simply subtract 12 from 15. This is a straightforward arithmetic operation.
Step 1: Identify the numbers involved in the operation. Here, the numbers are 15 and 12.
Step 2: Perform the subtraction. Subtract the smaller number (12) from the larger number (15). 15 - 12 equals 3.
Step 3: Select the correct answer from the options provided. The correct answer is A) 3.
joshua drove 360 miles in 5 hours. how fast was he driving in miles per hour?
Answer:72 miles
Step-by-step explanation:
You have to divide 5 by 1 then 360 by 5 and then get 72
What is the solution to the set inequality (4x-3)(2x-1)
Answer:
Set each factor equal to 0
4x-3 = 0
2x-1 = 0
Solve for x.
4x-3=0
4x=3
x= 3/4
Solve for x.
2x-1= 0
2x= 1
x= 1/2
Eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x
Answer:
its d
Step-by-step explanation:
Ryan had a balance of −$767.25 in his bank account, and Tim had a balance of −$556.75 in his bank account. Which statement explains why Ryan owes the bank more than Tim? −767.25 < −556.75 −767.25 > −556.75 |−767.25| < |−556.75| |−767.25| > |−556.75|
Answer: -767.25<-556.75
Explanation: Ryan has less money than tim therefore making him owe the bank more
Answer:
Answer is B. Hope this helps
Step-by-step explanation:
which statement could be used in step 2 when proving x = 30
Answer: ORP and ORN are a linear pair
Answer:
Option A.
Step-by-step explanation:
Statements Reason
1). m∠ORP = 80°, m∠ORN = (3x + 10)° Given
2). m∠ORP + m∠ORN = 180° ∠ORP & ∠ORN are linear pair
80 + (3x + 10) = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
x = [tex]\frac{90}{3}[/tex]
= 30°
Hence x = 30° is proved.
Option A. is the answer.
4 friends buy cinema tickets using this offer.
buy 3 cinema tickets and get 1 free
they each pay £6.15
how much does a ticket cost
To find the cost of a single cinema ticket, multiply the amount each friend paid, £6.15, by 4 to get the total cost for 3 paid tickets. Divide this total, £24.60, by 3 to find that the cost of one ticket is £8.20.
The question pertains to a group of 4 friends who buy cinema tickets using an offer where they buy 3 tickets and get 1 free. Since each friend pays £6.15, we need to determine the actual cost of a single ticket.
Under the offer, they are buying a total of 4 tickets for the price of 3. Therefore, we can calculate the cost of 3 tickets by multiplying £6.15 by 4, which gives us a total of £24.60. To find the cost of a single ticket, we divide the total cost of £24.60 by the number of tickets bought, which is 3.
Here is the calculation step:
Total cost for 4 friends = 4 × £6.15 = £24.60
Cost of a single ticket = [tex]\frac{24.60}{3}[/tex] tickets = £8.20
Therefore, the cost of one ticket without the offer is £8.20.
Use long division to convert −
74
8
to a decimal.
Answer: 9.25
Step-by-step explanation:
Answer:
−9.25
Step-by-step explanation:
Since the fraction is negative, the decimal equivalent is negative, too. Divide 74 by 8. The answer is −9.25.
why is four squared called four squared
Answer:
Step-by-step explanation:
Because a square has equal lengths on a side so finding the area of the square would just be the number on one side multiplied by itself so they decided to call it four squared.
The term 'four squared' refers to the mathematical expression 42, which represents the number four multiplied by itself resulting in 16. It also reflects the area of a square with side lengths of four units, illustrating the foundational concept of squaring numbers in geometry and algebra.
The term 'four squared' refers to the mathematical expression 42, which equals 16. This expression is the result of multiplying the number four by itself. In mathematics, squaring a number represents the area of a square with sides of that specific length. For example, a square with sides of 4 units has an area of 16 square units because the length of one side (4) is multiplied by the width, which is also 4 (since all sides of a square are equal). Hence, four squared (4 x 4) equals 16.
Another representation of this concept comes from geometry and the visualization of physical space. A square with a side length of 2 units, for instance, has an area of 22 or 4 square units because it has four equal divisions, each 1 unit by 1 unit. So when we talk about 'four squared', we're discussing an area that's four times larger than the original 2 x 2 square.
The concept of numbers being squared is foundational to algebra and geometry. The phrase 'four squared' is an embedded term in mathematics that signifies the squaring operation, which is critical for finding areas of squares and also is applied in various mathematical laws and properties, such as the Pythagorean theorem.
What does x equal in -6(8+7x)=-342
Answer:
x = -7
Step-by-step explanation:
-6(8 + 7x) = -342
-48 + 42x = -342
42x = -294
x = -294/42
x = -7
Answer is provided in the image attached.
3x + 8 + 4x = -8(x - 6) - 8(13x + 5)
3x+8+4x=-8(x-6)-8(13x+5)
Get rid of parenthesis.
3x+8+4x=-8(x-6)-8(13x+5)
3x+8+4x=-8x+48-104x-40
Comine like terms.
7x+8=-112x+8
Add 112x on both sides and subtract 8 from both sides.
119x=0.
Now since you cannot solve, or will get a 0, the answer is x=0.
What is 7/12 - 2/5 equal too
Answer: 11/60
Step-by-step explanation: 7/12 - 2/5 find the common denominator which is 60 so that would be 35/60 - 24/60
Answer:
0.183
Step-by-step explanation:
simply go to desmos.com use their scientific calculator for problems like these
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sales on the two instruments, find the price of a trumphet.
Answer:
$159.95
Step-by-step explanation:
Let price of trumphet be defined by [tex]x[/tex]
price of clarinet = $139.95
Number of clarinets sold = 19
Earning through clarinets' sale = [tex]19*139.95 = 2659.05[/tex]
Total earning of store = $4578.45
Earning through trumphets' sale = [tex]4578.45 - 2659.05 = 1919.40[/tex]
price of one trumohet = [tex]\frac{1919.40}{12} = 159.95[/tex]
price of clarinet = $159.95
The sum of two numbers is 39 . The larger number is 5 more than the smaller number. What are the numbers?
Answer:
Possibly 17 and 22.
Step-by-step explanation:
17 plus 22 equals to 39.
22 is five more than 17.
The two numbers are 17 and 22 whose sum is 39.
What is a numerical expression?A numerical expression is in form of numbers and variables separated by the operation of addition and subtraction.
Given that the sum of two numbers is 39.
Also given that the larger number is 5 more than the smaller number.
Assuming the smaller number to be 'n'.
∴ The larger no. is (x+5).
So, the given statement can be written as,
x + (x+5) = 39.
2x + 5 = 39.
2x = 39 - 5.
2x = 34.
x = 34/2.
x = 17.
So, the larger number is (5+17) = 22.
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What is the angle of rotation for rotational symmetry of a regular pentagon? A) 36° B) 60° C) 72° D) 90°
Answer:
c
Step-by-step explanation:
72
Final answer:
The angle of rotation for rotational symmetry of a regular pentagon is 72°, which is found by dividing the full rotation of 360° by the number of sides (5).
Explanation:
The angle of rotation for rotational symmetry of a regular pentagon is the angle you rotate the pentagon until it looks exactly the same as it did before the rotation. A regular pentagon has five sides that are all of equal length, and the amount of rotation required to bring one vertex to the position of the next is 360° divided by the number of sides. Therefore, the angle of rotation for a regular pentagon is 360°/5, which equals 72°.
Evaluate 3a2 + 4b2 for a = 2 and b = 3.
Answer:
48
Step-by-step explanation:
Substitute the given values for a and b into the expression
3(2)² + 4(3)²
= 3 × 4 + 4 × 9
= 12 + 36
= 48
can someone help me with all this?? i really dont get it
Answer:
A=78
B=102
C=78
Step-by-step explanation:
A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C
B= the vertical angle for 102, or the same thing with a and c, just flipped around
A stock market index drops by 1.38 points. What rational number represent the change in the index
Answer:
The change in the index is - 69/50
Step-by-step explanation:
* Lets explain what is the rational number
- A rational number is a number that can be expressed as a fraction
a/b where a and b are integers and b ≠ 0
- A rational number have numerator and denominator
- Whole numbers, integers, fractions, terminating decimals and
repeating decimals are all rational numbers
- The rational numbers includes all positive numbers, negative
numbers and zero that can be written as a fraction
- To convert a Decimal to a Fraction follow these steps:
# Write down the decimal divided by 1
# Multiply both top and bottom by 10 for every number right the
decimal point
# Simplify (or reduce) the fraction
* Lets solve the problem
- A stock market index drops by 1.38 points
- We need to find the rational number represents the change in
the index
∵ Drop means the stock is become less
∴ The value of change will be negative
∵ The stock is drops by 1.38
∴ -1.38 = -1.38/1
- Multiply up and down by 100 because there are 2 digits right the
decimal point
∴ -1.38 = -138/100
- Divide up and down by 2
∴ -1.38 = - 69/50
∴ The change in the index is - 69/50 (-1.38)
Answer: [tex]\dfrac{69}{50}[/tex]
Step-by-step explanation:
A rational number is in the form of [tex]\dfrac{p}{q}[/tex] , where [tex]q\neq0[/tex]. and p and q are integers.
Given : A stock market index drops by 1.38 points.
To convert 1.38 into rational , we divide and multiply it by 100 ( 1.38 is decimal expression up to hundredth) , we get
[tex]1.38\times\dfrac{100}{100}=\dfrac{138}{100}[/tex]
Now , we divide numerator and denominator by 2 , we get
[tex]\dfrac{69}{50}[/tex]
Hence, the rational number represent the change in the index is [tex]\dfrac{69}{50}[/tex].
The height of a door has a dimension given in feet and inches. Which unit of measure is more accurate?
The unit of measure that is more accurate for measuring the height of a door in feet and inches is inches.
Explanation:The unit of measure that is more accurate for measuring the height of a door in feet and inches would be inches. This is because inches provide a smaller unit of measurement, allowing for more precise measurements. To convert the height of a door from feet and inches to inches, you can multiply the number of feet by 12 and add the number of inches. For example, if a door is 6 feet 2 inches tall, you would multiply 6 by 12 to get 72 inches, and then add 2 inches to get a total height of 74 inches.
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