The number corrected to 1 decimal place is 78.5
The number corrected to the nearest hundredth is 78.47
EstimationFrom the question, we are to estimate the given number to the nearest 1 decimal place
The given number is
78.4695
Correcting to 1 decimal place
In the given number, we can observe that the hundredth digit is greater than 5, thus we will add 1 to the tenth digit
Thus,
78.4695 corrected to 1 decimal place is 78.5
Correcting to the nearest hundredth
The thousand digit is greater than 5, thus we will add 1 to the hundredth digit
Thus,
78.4695 corrected to the nearest hundredth is 78.47
Hence,
The number corrected to 1 decimal place is 78.5
The number corrected to the nearest hundredth is 78.47
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Claire has $300 in an account. She decides she is going to take out half of what's left in
there at the end of each month.
Recursive:
Explicit:
(there is a graph)
Answer:
The Recursive formula for the given condition is f(n-1) . 1/2 and the Explicit formula for the same situation is f(n) = 300 . (1/2)^x
Step-by-step explanation:
It is given that Claire has $300 in an account and she decides that she is going to take out half of the amount left in there in the account at the end of each month.
For such a situation, first of all let's take a look at the graph given below;
Now, let us understand what is recursive and explicit;
Recursive: A recursive formula bases its value on the preceding term whereas,
Explicit: An explicit formula offers the value of a given phrase depending on the location.
Furthermore, by looking at the graph attached herewith, it can be figured out that,
Recursive formula for the above mentioned condition will be;
=> f(0) = 300, f(n)
=> f(n-1) . 1/2
and the Explicit formula for the above mentioned situation will be;
=> f(n) = 300 . (1/2)^x
Therefore, the Recursive formula for the above mentioned condition is f(n-1) . 1/2 and the Explicit formula for the above mentioned situation is f(n) = 300 . (1/2)^x
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10. (01.03 lc) when constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? (1 point) connect every other intersection of an arc and the circle with a segment. connect the intersections of the diameters and the circle with a segment. connect every intersection of an arc and the circle with a segment. connect the midpoint of the radius to the endpoint of the diameter.
The correct option is C. Connect every intersection of an arc and the circle with a segment.
When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.
What is regular hexagon?A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.
Some key features related to regular hexagon are-
A regular hexagon is a closed 2D shape with six equal sides as well as six equal angles. Each regular hexagon angle measures 120 degrees. The total of all interior angles is 120 × 6 = 720 degrees.Both have six sides, six interior angles, and six vertices.All six interior angles add up to 720 degrees.All six exterior angles add up to 360 degrees.To know more about the regular hexagon, here
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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.
When building an engraved regular hexagon.
Following the creation of six arcs on the circle, the following steps will be taken.
A segment should be connected to every intersection of an arc and a circle.
The correct question is -
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?
A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.
C. Connect every intersection of an arc and the circle with a segment.
D. Connect the midpoint of the radius to the endpoint of the diameter.
Answer: (C) Connect every intersection of an arc and the circle with a segment.
Step-by-step explanation: butter
triangle mno is shown. which triangle can be shown to be congruent to triangle mno with only the given information? explain your reasoning.
Answer: triangle 4 MNO≅JKL
Step-by-step explanation:
Can someone please answer this. I need it today
-19 + 16 + (-42)
Answer:
-45
Step-by-step explanation:
math
-19 + 16 = -3
-3 + (-42) = -45
Three red cards are numbered 1, 2, and 3 and the other three green cards are also numbered 1, 2, and 3. All of them are in a box. Randomly pick 2 cards one by one with returning before the second pick. Find the probability that they have the same number or the same color.
Answer:
Step-by-step explanation:
According to the information, first pick with returning make the question easy, it means that fist pick and second pick are independent events, we want to calculate the probability of same number or same color so 'or' means the addition method in statistics, from above second card has same number or same color decide the probability, not the first picked card,
P = P(same number) + P(same color) = 1/3 + 1/3 = 2/3
Or you can draw a tree diagram
A hairdresser is making 6 hair bows. She needs 5 over 8 yards for each bow. If she has 8 and 1 over 2 yards of ribbon, how much will be left over after making the bows?
three and one over eight yards
four and three over four yards
six and three over four yards
sixteen and seven over ten yards
Answer:
4 and 3 over 4 yards
Step-by-step explanation:
the midpoint of uv is m(10, 6). one endpoint is v(10, 7). find the coordinates of the other endpoint u.
The coordinates of the other endpoint U are found to be (Xu, Yu) = (10, 5).
What is coordinates of a point?The coordinates are a pair of numbers which characterize the exact location of a point on a cartesian plane through using horizontal and vertical lines.
The x and y values of a point on a graph are usually represented by (x, y). Each point or ordered pair has two coordinates.Now, as per the question.
To find the coordinates of U, use the midpoint formula with the coordinates of points u and v (Xv, Yv) and (Xm, Ym) respectively.
Let's refer to them as (Xu, Yu)
Midpoint formula {(Xv + Xu)/2, (Yv + Yu)/2)}
Fill in the recognized coordinates as needed.
Point V at (10, 7) = (Xv, Yv)
Midpoint, point M at (10, 6) = (Xm, Ym)
For the x coordinates;
(10 + Xu)/2 = 10
Xu = 10.
Similarly for the y coordinate;
(7 + Yu)/2 = 6
7 + Yu = 12
Yu = 5
We can test this by plugging U's coordinates into the midpoint formula.
(10 + 10)/2 = 20/2 = 10
(5 + 7)/2 = 12/2 = 6
Therefore, the coordinates of the are (Xu, Yu) = (10, 5).
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6. Find the number that can be added to 207 to make the sum divisible by 17.
Answer: 14
207+14 = 221
221/17 = 13 (so the sum of 207 and 14 is divisible by 17)
You are given the equation v = ir, if you compare this to y = mx b, what is the y intercept, b equal to?
The y-intercept is (0, C/B).
What is the y-intercept?A y-intercept or vertical intercept is a point in analytic geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the common conference that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, these points satisfy the condition x = 0.Given:
v = iry = mxbThen,
Ax + By = C, where B ≠ 0By = - Ax + cy = - A/Bx + C/B ......(1)y = mx + bm = - A/B(0, C/B)Therefore, the y-intercept is (0, C/B).
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Which of the following options are examples of how you can name the angle? Select all that apply.
Answer:
∠A
∠EAU
∠UAE
Step-by-step explanation:
You can name an angle by their middle vertex letter which, in this case, is A.
You can also name an angle using the three letters provided: E, A, U.
However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.
Let me know if you don't understand or need more explanation.
Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?ll
The equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
Luis has 1/2 quart of grape juice. he pours the same amount into each of 5 glasses. which equation represents the fraction of a quart of grape juice n that is in each glass?
n = (1/2)(1/5)
n = (1/2)(5/1)
n = (1/2)(5)
n = (1/2)
From the data given in the question:
Let n be the fraction of a quart of grape juice n that is in each glass:
n = (1/2)(1/5)
Thus, the equation n = (1/2)(1/5) represents the fraction of a quart of grape juice n that is in each glass option (A) is correct.
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If a lawnmower has a cost price of $2500 and was sold for $2895 what is the percentage profit
The profit percentage for the lawn owner is 15.8%
Profit Percentage:
Profit means, if the selling price of a product is more than its cost price, there is a profit earned in the transaction.
So, it can be calculated as,
Profit = Selling Price - Cost Price
The formulas for profit percentage is,
Profit percentage(P%) = (Profit /Cost Price) × 100
Given,
Here we need to find the profit percentage, If a lawnmower has a cost price of $2500 and was sold for $2895.
Based on the question,
We know that,
Cost Price = $2500
Selling Price = $2895
So, the profit is,
profit = $2895 - $2500
profit = $395
Now, the profit percentage is calculated by apply the values on the formula,
profit percentage (P%) = (395/2500) x 100
Therefore,
P% = 395/25
P% = 15.8%
Therefore, the profit percentage for the lawn owner is 15.8%.
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Choose the expression that is equivalent to a fraction with seven raised to the negative third power in the numerator and the quantity three raised to the negative second power times seven squared end quantity in the denominator and the entire fraction is cubed.
need answer ASAP pls answer quick
The expression that is equivalent to the given expression is 3⁶/7¹⁵
Simplifying an expressionFrom the question, we are to determine the expression that is equivalent to the given expression
The given expression is
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
Simplifying
[tex]\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}[/tex]
[tex]\left(\frac{7^{-3 \times 3} }{3^{-2 \times 3} \times 7^{2 \times 3}} \right)[/tex]
[tex]\left(\frac{7^{-9} }{3^{-6} \times 7^{6}} \right)[/tex]
= [tex]\left( 7^{-9} \times \frac{1}{3^{-6}} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left( \frac{1}{7^{9} } \times 3^{6} \times \frac{1 }{7^{6}} \right)[/tex]
= [tex]\left(\frac{3^{6} }{7^{9} \times 7^{6}} \right)[/tex]
= [tex]\frac{3^{6} }{7^{9+6}}[/tex]
= [tex]\frac{3^{6} }{7^{15}}[/tex]
Hence, the expression that is equivalent to the given expression is 3⁶/7¹⁵
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i don’t understand this i already tried but got 1.25 bad i’m pretty sure it’s wrong
Answer:
Smallest integer=14
Step-by-step explanation:
(x+x+2+x+4+x+6)/4=17
(4x+12)/4=17
4x+12=68
4x=68-12
4x=56
x=56/4
x=14
numbers are: 14, 16, 18, 20
quadratic function - which one of these is a quadratic function
A basketball team raised $200 to purchase new jerseys. there are 8 people on the team and jerseys cost $22 each. with the extra money, the team would like to purchase socks at $5 per pair.
write an inequality that describes the situation and solve it. what is the greatest number of pairs of socks the team can purchase? explain your answer.
The inequality that describe the situation is (22 x 8) + (5 x S) = 200 and with the money left over, the team will be able to buy 4 pairs of socks, and there will be $4 left over.
Inequality:
Inequality means relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
A basketball team raised $200 to purchase new jerseys.
There are 8 people on the team and jerseys cost $22 each.
With the extra money, the team would like to purchase socks at $5 per pair.
Here we need to find the inequality that describes the situation and solve it. And also we need to find the greatest number of pairs of socks the team can purchase.
Let S be the number of Socks they brought.
Based on the given details,
The following inequality must be raised:
=> (22 x 8) + (5 x S) = 200
When we solve it,
=> 176 + 5S = 200
=> 5S = 200 - 176
=> 5S = 24
=> S = 24 / 5
Here the S has the value of 4 and the remaining is 4.
Therefore,
with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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I bought 2 books. One cost twice as much as the other. Together they cost £3.45.
How much did the dearer book cost?
We can express this as:
x + 2x = £3.45
We can solve for x with no additional work.
x + 2x = £3.45
3x = £3.45
3x/3 = £3.45/3
x = £1.15
Im guessing you're British by the use of the £ symbol, and I don't understand what "dearer" means as in America we don't use that term. I'll just give you both values.
x = £1.15 (this is the first book)
2x = £2.30 (this is the second book, which costs twice as much as the first.)
solve the following below
6 3/5 + 4 1/2
Given the function f(x)=-6x-1, then what is f(-x) as a simplified polynomial?
Solve for x.
(x+40)°
(3x-17)
(2x-5)
Answer:
x = 27
Step-by-step explanation:
All angles in a triangle add up to 180 degrees
180 = (3x - 17) + (x + 40) + (2x - 5)
Combine like terms.
180 = 6x + 18
Subtract 18 from both sides.
162 = 6x
Divide both sides by 6.
x = 27
Express 80 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
the answer of that is 16 x 5
Step-by-step explanation:
(2x6)^3/2 in simplest form
(2x6)^3/2 in it's simplest form is equal to 41.56. See the computation below.
What is the simplification of the above expression?Using BODMAS, we say
(2 x 6) = 12
12^(3/2)
= 41.5692
[tex]$\approx$[/tex] 41.56
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Convert 50 pounds into kilograms
Answer:
22.6796 kg
Step-by-step explanation:
for an approximate result, divide the mass value by 2.205
but the conversion is 50 pounds = 22.696 kilograms
Answer:
22.68 kilograms
Step-by-step explanation:
I found the answer on the internet
Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
Answer: 49,000 molecules = 4.9*10⁴ molecules
Step-by-step explanation:
49,000=
49*10³=
4.9*10⁴ molecules
hi everyone
10x -20y =
Answer:
[tex]10\left(x-2y\right)[/tex]
Step-by-step explanation:
[tex]-20 = 2\cdot \:10\\=10x+2\cdot \:10y\\=10\left(x-2y\right)[/tex]
Steps
• -20 gets converted to 2 × 10
• -20 in its new form is put into the rewritten equation.
• 10 was factored out, because it is the most common term in this equation.
9. If h(x)=√x-3 +5, then for what value(s) of 10
x does h(x) = 3?
Answer:
There are no values of x that make this equation true.
Step-by-step explanation:
We know h(x)=[tex]\sqrt{x-3} +5[/tex]
So lets substitute h(x) for 3
3=[tex]\sqrt{x-3}+5[/tex]
We are going to then subtract 5 from each side leaving us with
-2=[tex]\sqrt{x-3}[/tex]
We then need to get rid of the square root, so we will square both sides. which gives us
4=x-3
We then need to subtract 3 from both sides which leaves us with
x=1
However, when you substitute 1 for x into the original equation, you get
h(x)=[tex]\sqrt{-2}+5[/tex]
Which is not equal to 3
Therefore, there are no values of x that make this equation true.
Bag A contains 9 red marbles and 3 green marbles. Bag B contains 9 black marbles and 6 orange marbles.
What is the probability of selecting a a green or black marble?
Five girls entered the pass, kick,
and punt competition. Below is how
far they threw the football
Kim 23.8 yds.
Julia
40 yds,
Trisha 38.94 yds.
Dianne 28.2 yds,
What is the combined total length for the 4 girls
Answer:
130.94
Step-by-step explanation:
'Combine' I assume is to add so here's the answer!
23.8+40+38.94+28.2= 130.94
The distance around track is 400 m if you take 14 more laps how much is total amount of distance
The total distance covered is 6,000 m.
What is distance?Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.
The magnitude as well as size of displacement between two positions is defined as distance. It is important to note that the distance between two points isn't the same as the distance traveled among them. The total length of a path traveled among two points is referred to as the distance traveled. Travel distance isn't a vector.Now, as per the question;
The distance around track is 400 m.
14 more laps has been covered along with the initial one.
Thus the total distance will be;
Total distance = 400 + 400×14
= 400 + 5,600
Total distance = 6,000
Therefore, the total distance covered is 6,000 m.
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Evaluate the expression when m = 5 and n = 38
N-6m
An expression is a set of terms combined using the operations +, -, x or ÷, for example 4 x − 3 or 5 x 2 − 3 x y + 17 . An equation is a statement with an equals sign, which states that two expressions are equal in value, for example 4 b − 2 = 6
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.
50
6m-n
Let m = 9 and n = 4
when m = 5 and n = 38
N-6m6*9-4
Multiply first
54-4
Then subtract
50
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