Answer:3
Step-by-step explanation:
So 59 rounded to the nearest ten is
Answer:
60
This is because a number 5 or above is rounded up. Lower than 5 is equal to the lower number.
Answer:
60.. hope it helps
Step-by-step explanation:
Check the number in the ones place
It's is 9, which is greater than 5 so we will add 1, to the tens place,
It becomes 60
Another method..
The closest tens multiples to the given number are 50 and 60.
Evidently, it is closer to 60 so when it is rounded off to the nearest ten, it's 60
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
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Write 0.15 as a fraction in simplest form. 0.15 =
Step-by-step explanation:
0.15 as a Fraction in simplest form to convert 0.15 to a fraction and simplify to the lowest form.
Working:
0.15 = 15/100
So the simplest form is :
0.15 = 3/20
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal base angles.
Given that : AK = KC and MN∥ AC
ΔMNB is similar to ΔACB (congruence property)
ΔANB = ΔANC (SAS congruence property)
ΔCMB = ΔCMA (SAS congruence property)
\(\frac{AB}{BN}\) = \(\frac{AC}{CN}\) (Angle bisector theorem)
So that:
<BAC = <ACB (base angle property of an isosceles triangle)
/AB/ = /BC/ (side property of an isosceles triangle)
Therefore, ΔABC is an isosceles triangle.
solve this problem
may be easy or nt
Answer:
Mark me as brainliest ❤️
Prove or disprove that a 4×4 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape. 4. Prove or disprove that an 8×8 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape. 5. Determine if (¬(p⇒q))∧(¬(q⇒p)) is a tautology, a contradiction or neither. 8. Use the gcd reduction theorem (the Euclidean algorithm) to nd the greatest common divisor of 7854 and 4746 . 9. Find [884
2
⋅(−4940)
20
](mod7)
It is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares, it is impossible to tile a 8 × 8 board with one square removed using the L-shaped pieces consisting of three squares, this is a contradiction since the premises p ∧ ¬p and q ∧ ¬q are never true and [884 2 ⋅(−4940) 20 ](mod7) is 6.
Prove or disprove that a 4×4 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape.
We can prove that this is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares.
The number of squares on the 4 × 4 board is 16, while the number of squares on each L-shaped piece is three; as a result, the total number of squares on the L-shaped pieces is 12.
However, the board has 15 squares remaining after removing one square, thus the 15 squares cannot be covered using the 12 squares on the L-shaped pieces.
Thus, it is impossible to tile a 4 × 4 board with one square removed using the L-shaped pieces consisting of three squares.
Prove or disprove that an 8×8 board with any one square removed can be tiled with pieces consisting of three squares in an L-shape.
Let's split the 8 × 8 board into four smaller 4 × 4 boards.
One of the 4 × 4 boards has had one of its squares removed.
Let's call it board A.
On board A, we can't use L-shaped pieces because we know it can't be done.
As a result, we can't use one of the L-shaped pieces for each of the other three boards.
If we take out an L-shaped piece, we're left with a board that has two diagonally opposite corners filled with squares.
This board can be tiled using L-shaped pieces.
As a result, we have three boards that are each missing an L-shaped piece.
The remaining 13 L-shaped pieces are sufficient to cover these three boards, as each one requires four L-shaped pieces.
Determine if (¬(p⇒q))∧(¬(q⇒p)) is a tautology, a contradiction or neither.
Let us first evaluate the expression ¬(p ⇒ q) using the following table:
P Q p ⇒ q ¬ (p ⇒ q) q ⇒ p ¬ (q ⇒ p)(T, T) T F T T F(T, F) F T F T F(F, T) T F T F F(F, F) T F T T T
The column for ¬(p ⇒ q) indicates that the original statement is equivalent to p ∧ ¬q.
The second column of our expression ¬(q ⇒ p) is as follows:
P Q q ⇒ p ¬ (q ⇒ p) T T T F T T F T T T F F T T F T T T F F
The column for ¬(q ⇒ p) indicates that the original statement is equivalent to q ∧ ¬p.
As a result, we can write(¬(p⇒q))∧(¬(q⇒p)) as (p ∧ ¬q) ∧ (q ∧ ¬p)
This is a contradiction since the premises p ∧ ¬p and q ∧ ¬q are never true.
Use the gcd reduction theorem (the Euclidean algorithm) to nd the greatest common divisor of 7854 and 4746.
Let's use the Euclidean Algorithm to find the greatest common divisor (GCD) of 7854 and
4746.7854 = 1(4746) + 3108.4746
= 1(3108) + 1638.3108
= 1(1638) + 1470.1638
= 1(1470) + 168.1470
= 8(168) + 126.168
= 1(126) + 42.126
= 3(42).
Thus, GCD(7854, 4746) = 42.9.
Find [884 2 ⋅(−4940) 20 ](mod7)
We have [884 2 ⋅(−4940) 20 ](mod7).
We know that any integer can be represented in the form a/b (mod m), where m is a positive integer, and a and b are any integers.
If a ≡ c (mod m) and b ≡ d (mod m), then a + b ≡ c + d (mod m), a − b ≡ c − d (mod m), ab ≡ cd (mod m), and a^p ≡ c^p (mod m) for any nonnegative integer p.
884^2 ≡ 5^2 ≡ 4 (mod 7).-4940 ≡ 2 (mod 7) since 7 divides 4941 (the sum of the digits is divisible by 7).20 ≡ 6 (mod 7) since 7 divides 21.
The solution is:
[884 2 ⋅(−4940) 20 ](mod7) = (4)(2)(6)(mod7)
= 48(mod7)
= 6(mod7).
Therefore, [884 2 ⋅(−4940) 20 ](mod7) is 6.
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A chocolate bar measures 30 mm wide, 70 mm long, and (or 4.5) mm high. Will's Wrapping Company is making a wrapper to cover the chocolate bar. Use the correct net and determine how much paper will be needed to make the wrapper.
Hey there! I'm happy to help!
First, let's find the area of the top of the bar.
30×70=2100
This is the same as the bottom of the bar, so we have another 2100 mm, giving us 4200 in total.
Now we want to find the two long sides. This is 70×4.5, which is 315. Since there are two of these sides, we have another 315, giving us 630 in total there.
Now we have the short sides.
30×4.5=135
135×2=270
Now, we add up all of these measurements.
4200+630+270=5100
Therefore, Will's Wrapping Company will need 5100 mm² of paper to make their wrapper.
Have a wonderful day! :D
-3/8 (-6-2y) = 1/2 (2y - 3) -1°
solve it
Answer:
y= -10/89
Step-by-step explanation:
89y=-10
89y/89 = -10/89
y= - 10/89
Three pens cost £1.05. How much would seven pens cost in pence
Answer:
The cost of 7 pens is Rs. 60, so 2.45
Step-by-step explanation:
find the cost of 7 pens. so 3 divided by 1.05 = 0.35 then multiply by 7 = 2.45 hope this helps can i get brainlyesti tried my best;]
Determine the ratio of the geometric sequence: 1/16, -1/4, 1,...
Answer:
The common ratio of the given sequence is - 4-------------------------------
Given sequence:
1/16, - 1/4, 1, ...Find the common ratio, the ratio of two consecutive terms:
r = 1 ÷ (- 1/4) = 1 × (- 4) = - 4or
r = - 1/4 ÷ 1/16 = - 1/4 × 16 = - 4Translate this phrase into an algebraic expression.
Nine less than the product of 18 and Jose's age
Use the variable j to represent Jose's age.
Answer:
J(18)-9
Step-by-step explanation:
j times 18 minus 9
The volume of a right cone is 2016
�
π units
3
3
. If its diameter measures 24 units, find its height.
The height of the cone is 13.38 units
What is volume of a cone?A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the centre of base) called the apex or vertex.
The volume of a cone = 1/3 πr²h
volume = 2016 units³
r = d/2 = 24/2 = 12 units
2016 = 1/3 × 3.14 × 12² h
6048 = 452.16h
h = 6048/452.16
h = 13.38units
therefore the height of the cone is 13.38 units
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Jackson was solving a two-step equation. Which property justifies the work done between steps one and two?
The work done between steps one and two is justified by applying the Addition Property of Equality.
In step one, we start with the equation 3x - 2 = 10.
To isolate the variable, we can use the Addition Property of Equality, which allows us to add 2 to both sides of the equation.
This yields 3x = 12 (step two).
The Addition Property of Equality states that if the same value is added to both sides of an equation, the equality remains true.
Hence, the property utilized between these steps is the Addition Property of Equality.
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An engineer designs a structure that is is 21 feet long and 3
yards high. What is the ratio of length to height?
Answer:
7:3
Step-by-step explanation:
Convert one of the measurements to the other before attempting to solve the question.
1 yard = 3 feet
Multiply both sides by 3 to get:
3 yards = 9 feet
Therefore the ratio would be
21:9
Simplify to 7:3 length to height.
heyy!! i need help!!
Answer:
X - 3 = 5
Step-by-step explanation:
X decreased by 3 means X-3.
If X - 3 is 5, then it can be written as X - 3 = 5
Answer: 8
Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.
its in the file below
According to the information we can infer that Dora's conclusion may be incorrect because the information provided only states that the number of people who spent time reading falls within specific ranges (0-2 hours, 2-4 hours, and 2-10 hours), but it does not give a specific count for those who spent at least 4 hours. Therefore, Dora's assumption that "most people spent at least 4 hours a week reading" is not supported by the given data.
How to calculate the range of the time that Dora's friends spent reading?The range of the time spent reading cannot be determined from the information provided because the ranges are overlapping. For example, a person who spent exactly 2 hours reading could fall into both the first range (0-2 hours) and the second range (2-4 hours). Without more specific data or non-overlapping ranges, it is not possible to determine the exact range of time spent reading.
To estimate the mean time spent reading by Dora's friends, we can calculate the midpoint of each range and use it as an approximate value. The midpoint for the first range (0-2 hours) is 1 hour, for the second range (2-4 hours) is 3 hours, and for the third range (2-10 hours) is 6 hours. We can then calculate the estimated mean by taking the weighted average of these midpoints using the respective number of people as weights.
Estimated mean = [(4 * 1) + (5 * 3) + (11 * 6)] / (4 + 5 + 11) = 4.53 hours (approximately)
So, an estimate of the mean time spent reading by Dora's friends is approximately 4.53 hours.
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What is the measure of an angle that goes through 2/8 of a circle?
The measure of an angle that goes through 2/8 of a circle is 90°
A circle is a 2-dimensional shape that is round in shape it is equidistant from the center.
A circle has a total angle of 360°
That is the whole complete angle of the circle = 360°
The 2/8 th of the complete angle of the circle = 360 * 2/8
= 360 * 1/4
= 360/4
=90°
Thus, the 90° of the circle is given as 2/8th of an angle of the circle or we can say that the quarter angle of a circle comes out to 90°.
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Let n be the largest integer for which 14n has exactly 100 digits. Counting from right to left, find the 68th digit of n
Counting from right to left, find the 68th digit of n is 10.
An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.
The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.
This integer is equal to 10100 = 10
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tell me a secret that you will never tell anyone
Answer:
i had a breathing problem when i was 3 years old and i almost died, but i got surgery and i got my breathing back to normal
Step-by-step explanation:
Solve for x:
3/2 (x – 6) = -3
Α. χ = -8
Β. χ = 2
C. χ = 4
D. χ = 9
Answer:
4
Step-by-step explanation:
3(x-6)/2=-3
3(x-6)=-3 x 2
3(x-6)=-6
x-6=-6/3
x-6=-2
x=-2+6
x=4
mia i was there for u all the time i literally helped u and ur mom pay off stuff and you tell me you dont wanna be friends anymore cus im black? thats so disgusting and hurtful bc a 7 yr friendship is down the drain because of my skin color ur dad is black inculding your grandpa so what do u mean just bc you look white dont mean u are ur mixed. so the fact u would even have the audacity to say that hurts me pretty bad and ik you wouldnt say that to ur dad.
Answer:
:( we will all be here for you m :)
Step-by-step explanation:
Answer:
Ong she woulda had to see the hand.
Step-by-step explanation:
...
Lindsey is working really hard to improve her grade. on her first quiz she scored 67 point, on her second she scored 71, and on her third she scored 75. her scores continue to increase at the same rate. write a recursive and explicit formula for this geometric sequence.
The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)
To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.
From the given information, we can observe that Lindsey's scores are increasing at the same rate.
This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.
Let's denote the first term as a₁ = 67 and the common ratio as r.
Recursive Formula:
In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:
aₙ = aₙ₋₁ \(\times\) r
For Lindsey's scores, the recursive formula would be:
aₙ = aₙ₋₁ \(\times\) r
Explicit Formula:
The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.
The explicit formula for a geometric sequence is:
aₙ = a₁ \(\times r^{(n-1)\)
For Lindsey's scores, the explicit formula would be:
aₙ \(= 67 \times r^{(n-1)\)
In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.
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3.[1-4
-4 5-7]
3 -12 15 -21]
[4
-18 -4]
O [3 12 15 21]
O
[4 -12 8 -21]
Answer:
what is your question because I'm not sure if u accidentally forgot to put the question up
Step-by-step explanation:
Hope I'm able to help you later with your question
Mr. Wayne uses his cell phone for work. He is reimbursed $45.95 each month. How much will Mr. Wayne himself pay for his family's cell phone service over the 3-year period? Explain your thinking.
Answer:
$1654.20
Step-by-step explanation:
There are 12 months in a year. There are 36 months in 3 years. If he gets charged $45.95 each month for 3 years or 36 months, he pays:
$45.95×36=
$1654.20 for three years.
-560.114 a rational or irrational
what is the probability that the card you draw is a face card? what is the probability that the card you draw is red? what is the probability that the card you draw is a red face card?
The probability of drawing a face card is 12/52 or 23.08%. The probability of drawing a red card is 26/52 or 50%. The probability of drawing a red face card is 6/52, or approximately 11.54%.
The probability of drawing a face card from a standard deck of 52 cards (where face cards are kings, queens, and jacks) is 12/52, or approximately 23.08%. This is because there are 12 face cards in the deck and 52 total cards.
The probability of drawing a red card (which includes hearts and diamonds) is 26/52, or exactly 50%. This is because half of the cards in a deck are red (26 out of 52).
To find the probability of drawing a red face card, we need to find how many cards in the deck are both red and a face card. There are 6 red face cards in a deck (2 red kings, 2 red queens, and 2 red jacks) out of a total of 52 cards. So the probability of drawing a red face card is 6/52, or approximately 11.54%.
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If a sum of money earns $11,178 as simple interest over a period of 9 years at the rate of 6% per annum, what is the principal
Answer:Formular for simple interest is
I = P X R XT
————
100
where P is the amount borrowed or loan , Rate is the percentage of interest in P while T is the Time range for the loan
Now to find the Principal, we now change the original subject of the formula to suit or reflect P.
P = I X 100
———-
R X T
= 11, 178
———
6 X 9
=. 11, 178
——
54
=. $20,700
Step-by-step explanation:
Answer:
$20,700
Step-by-step explanation:
Simple Interest Formula
I = Prt
where:
I = interest accruedP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $11,178r = 6% = 0.06t = 9 yearsSubstitute the given values into the formula and solve for P:
\(\implies \sf 11178=P(0.06)(9)\)
\(\implies \sf 11178=0.54P\)
\(\implies \sf P=\dfrac{11178}{0.54}\)
\(\implies \sf P=20700\)
Therefore, the principal amount is $20,700.
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explain in your own words why it takes more to prove that quadrilaterals are similar
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Explaining quadrilaterals?
With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals' internal angles add up to a constant 360 degrees.
What is quadrilateral formula?
When the diagonal and the sum of the lengths of the perpendiculars drawn from the remaining two vertices are known, the area of the quadrilateral can be determined as follows Area of quadrilateral = (12) diagonal length sum of the lengths of the perpendiculars drawn from the remaining two vertices.
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The complete question is -
Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
The set {6, 7, 8, 9, 10} is part of the solution set for which inequality?
(x-3)45° find the value of x
Answer:
the value of x is 135 i believe
Step-by-step explanation:
sorry if im wrong