The absolute value of any number is that number as a positive one.
Absolute value of -1/2 is 1/2
m + 5 = 5
+ 5 can you guys help
Answer:
the answer would be 0 because 0+5=5
Find the integer that exceeds –5 by the same amount that 13 exceeds –1. \
Answer:
7
Step-by-step explanation:
13 exceeds - 1 by - 1 + 13 = 12, then
- 5 + 12 = 7
Answer:
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
13 exceeds - 1 by - 1 + 13 = 12, then
- 5 + 12 = 7
A motorboat travels 440 km in eight hours going upstream and 510 km in six hours going down stream what is the rate of the boat in Still water and what is the rate of the current
Answer:
Rate of boat in still water = 70 km/hr
Rate of current = 15 km/hr
Step-by-step explanation:
Let the speed of motorboat in still water = \(u\ km/hr\)
Let the speed of current = \(v\ km/hr\)
Equivalent Speed upstream = \((u-v)\ km/hr\)
Equivalent Speed downstream = \((u+v)\ km/hr\)
Distance traveled upstream = 440 km
Time taken upstream = 8 hours
Using the formula:
\(Speed = \dfrac{Distance}{Time}\)
\(u-v = \dfrac{440}{8}\\\Rightarrow u -v=55 ..... (1)\)
Distance traveled downstream = 510 km
Time taken downstream = 6 hours
\(u +v = \dfrac{510}{6}\\\Rightarrow u+v=85 ...... (2)\)
Adding (1) and (2):
\(2u = 140\\\Rightarrow u = 70\ km/hr\)
By equation (1):
\(v = 85-70\\\Rightarrow v =15\ km/hr\)
Therefore, the answer is:
Rate of boat in still water = 70 km/hr
Rate of current = 15 km/hr
3644-878 x 4 = a
a+54-21=b
a =
b =
the answer is supposed to be 132 at the most of a
for b it is 165
Answer:
a=132
b=165
Step-by-step explanation:
,
Find the length of the missing side of the right triangle. Round to three decimal places, if necessary. 1) a -10, b 24 Solve the problem. If necessary, round to the nearest tenth.
Answer: We can use the Pythagorean theorem to solve this problem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have:
a = -10
b = 24
c = ?
Using the Pythagorean theorem, we can solve for c:
c^2 = a^2 + b^2
c^2 = (-10)^2 + 24^2
c^2 = 676
c = sqrt(676)
c = 26
Therefore, the length of the missing side of the right triangle is 26 units.
The length of the missing side of the right triangle is 26. To find the length of the missing side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
The formula is:
\(c² = a² + b²\)
In this problem, a = 10 and b = 24. To find the length of the missing side (the hypotenuse, c), we can plug these values into the formula:
c² = 10² + 24²
c² = 100 + 576
c² = 676
Now, we take the square root of both sides to find the length of the missing side:
c = √676
c = 26
So, the length of the missing side (the hypotenuse) of the right triangle is 26.
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A company invests $12,000 to produce a product that will sell for $49.60. Each unit costs $7:45 to produce. (a) How many units must the company sell to break even? units (b) How many units must the company sell to make a profit of $115,0002 units
Answer:
Step-by-step explanation:
a=number of products
product profit=49,60-7,45=42,15
115000+1200=42,15xa
127000=42,15xa
a=3013
Covert 89.3% to decimal
Given:
89.3%
To convert into decimal:
\(\begin{gathered} 89.3\text{ \%=}\frac{89.3}{100} \\ =0.893 \end{gathered}\)Hence, the answer is 0.893.
The heptagon at the right has been dissected into five triangles with angles labeled as shown use the five triangles to prove that the sum of the interior angles of any heptagon is always 900°
We can utilise the five triangles in the provided heptagon and the characteristics of triangles to demonstrate that the total interior angle of a heptagon is 900 degrees.
How is this determined?A triangle's internal angles are always added up to 180 degrees. The inner angles of the five triangles that make up the heptagon add up to 5 * 180, or 900 degrees.
The total of the interior angles of the heptagon can be calculated using the five triangles that make up the shape. We can see that the sum of the interior angles of the heptagon equals the sum of the angles of the five triangles because the angles of the heptagon are labelled.
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-2(8f+9)-6n use f=5 and n=7
Answer: Correct me if I am wrong, but this is how I think you should solve it.
Step-by-step explanation:
1. Simplify 8×5 to 40.
−2×(40+9)−6×7
2. Simplify 40+9 to 49.
−2×49−6×7
3. Simplify −2×49 to −98.
−98−6×7
4. Simplify 6×7 to 42.
−98−42
5. Simplify
−140
Your all done! Hope this helps.
round 43.093 to the hundredths place
Answer:
43.09
Step-by-step explanation:
It is due jan 30th pls help
Answer:
slope of original line; m = -3/-4
=3/4
slope of parallel line = 3/4
slope of perpendicular line = m1*m2=-1
=(3/4)*m2=-1
=-4/3
equation passes through point (4,-3) is : 3x + 4y = -12
which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x 13y
The constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The equations are
5x+13y = 232
12x + 7y = 218
Here we can cancel both x term and y terms, lets choose x terms and apply the elimination method
The coefficient of x in first equation is 5 and 12 in second equation
We have to make it same
Prime factorization
5 = 5×1
12 = 2×2×3
LCM (5, 12 ) = 2×2×3×5 = 60
Multiply the first equation by 12 and second equation by 5
60x + 156y = 2784
60x + 35y = 1090
Subtract equation 2 from equation 1
121y = 1694
Here we have eliminated x term
Hence, the constants that we have to multiply to eliminate one variable from the system are 12 and 5.
The complete question is:
Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232
12x + 7y = 218
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Consider a hash table, a hash function of key % 10. Which of the following programmer-defined constants for quadratic probing cannot be used in a quadratic probing equation? O c1 = 1 and 2 = 0 O c1 = 5 and c2 = 1 O c1 = 1 and c2 - 5 O c1 = 10 and 2
D: "\(c_{1} = 10\) and \(c_{2} = 2\)" are programmer-defined constants for quadratic probing that cannot be used in a quadratic probing equation. Option D is correct answer.
The quadratic probing equation is defined as:
h (k, i) = (h′(k) + \(c_{1}\) * i + \(c_{2}\) * i^2) mod m,
where h′(k) is the hash value of key
k and m is the size of the hash table.
The constants \(c_{1}\) and \(c_{2}\) are programmer-defined constants that are used to compute the new hash index when a collision occurs in the hash table.
The given hash function is h(k) = k % 10.
Therefore, the hash value of any key will be between `0` and `9`.Now, let's check which of the given programmer-defined constants for quadratic probing cannot be used in a quadratic probing equation:
Option A: `c1 = 1 and c2 = 0`This option can be used in the quadratic probing equation. It means that linear probing is being used.
Option B: \(c_1 = 5\) and \(c_2 = 1\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 5i + i^2) mod m`.
Option C: \(c_1 = 1\) and \(c_2 = 5\) This option can be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + i + 5i^2) mod m`.
Option D: \(c_1 = 10\) and \(c_2 = 2\) This option cannot be used in the quadratic probing equation. It means that the new index is being computed as `h(k, i) = (h′(k) + 10i + 2i^2) mod m`.
Since \(c_{1}\) is greater than or equal to `m`, this equation will always result in a hash index that is greater than or equal to `m`. Therefore, it is not possible to use `\(c_{1}\)= 10` in the quadratic probing equation. Hence, the correct option is D.
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I have to find p to get 13
5p-4(p+3)=13
Answer:
p=25
Step-by-step explanation:
5p-4(p+3)=13
5p-4p-12=13
x-12=13
x=13+12
x=25
a check:
5(25)-4(25+3)=13
125-100-12=13
125-112=13
13=13
Two large books are stacked on top of each other on a table(Figure 3). The mass of each book is 6. 5 kg. Given that the coefficient of static friction between the bottom book and the table is 0. 15, what is the lowest the coefficient of static friction between the books can be in order to apply force and move both books?
Answer: 19.11
Step-by-step explanation:
Since there are 2 books, multiply 6.5kg by 2.
6.5 x 2 = 13kg
Then, turn kg into Newtons.
F=MG
13x9.8=127.4 N
Then, you multiply that by μ
F=Nμ
127.4x0.15=19.11
A triangle has two sides with lengths 7 and 12 which of the folowing lengths could represent the third side
Answer:
If s₃ is the length of the 3rd side, the possible values are in the interval.
5 < s₃ < 19
Step-by-step explanation:
For a triangle, we know that the sum of any two sides is always larger than the other side.
So if a triangle has 3 sides:
s₁, s₂, and s₃, we have:
s₁ + s₂ > s₃
s₁ + s₃ > s₂
s₂ + s₃ > s₁
In this case, we know that two sides are:
s₁ = 7
s₂ = 12
And we want to find the possible values of s₃.
Then if we use the above inequalities, we get:
7 + 12 > s₃
7 + s₃ > 12
12 + s₃ > 7
With the first one we get:
19 > s₃
Now we can rewrite the other two as:
s₃ > 12 - 7 = 5
s₃ > 7 - 12 = -5
The first one is more restrictive than the second:
s₃ > 5 > -5
So we can use only the first one.
Then the two inequalities are
s₃ > 5
s₃ < 19
Then the range is:
5 < s₃ < 19
This means that any value between 5 and 19 can be a possible length of the third side (5 and 19 are not possible lengths)
Ms. McCormick keeps a rectangular recycling bin for used paper in her classroom. The area of the bottom of the bin is 400 square inches. Paper completely fills the bin to a height of 17 inches. What is the volume of paper in the recycling bin?
According to the dimensions given, the volume of paper in the recycling bin is of 6800 cubic inches.
What is the volume of a rectangular prism?It is given by the multiplication of the base area by the height, that is:
\(V = S_bh\)
In this problem, we have that the measures in square inches and inches, respectively, are given by:
\(S_b = 400, h = 17\)
Hence:
\(V = 400 \times 17 = 6800\)
The volume of paper in the recycling bin is of 6800 cubic inches.
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Answer:
6800
Step-by-step explanation:
How many solutions are there to this equation?
7x-3(x-1)= 2(2x+3)
Answer:
none
Step-by-step explanation: parallel lines
when the sum of the lowest data value and the highest data value is divided by 2, the measure is called the .
The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.
What do we mean by the Mid-range?The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.
The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.
The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.
Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.
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The formula T = 2 pi StartRoot StartFraction L Over 32 EndFraction EndRoot relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth. What is the length of a pendulum that makes one full swing in 2.2 seconds? Use 3.14 for Pi.
The length of this pendulum that makes one full swing is 3.93 meters.
Given the following data:
Time = 2.2 seconds.\(\pi = 3.14\)To determine the length of this pendulum that makes one full swing:
How to calculate the length.Mathematically, the time taken by this pendulum is given by this formula:
\(T=2\pi \sqrt{\frac{L}{32} }\)
Making L the subject of formula, we have:
\(T^2 = 4\pi ^2 \frac{L}{32} \\\\32T^2 =4\pi ^2L\\\\L=\frac{32T^2}{4\pi ^2}\)
Substituting the given parameters into the formula, we have;
\(L=\frac{32 \times 2.2^2}{4 \times (3.14)^2 } \\\\L=\frac{32 \times 4.84}{4 \times 9.8596 }\\\\L=\frac{154.88}{39.4384}\)
L = 3.93 meters.
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Answer:
4
Step-by-step explanation:
What transformation has changed the parent function f(x) = (0.5)x to its new appearance shown in the graph? exponential graph passing through point negative 3, 2 and negative 2, 1 a f(x) − 2 b f(x + 2) c f(x) + 1 d −1 • f(x)
Correct option is A, f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.
What modification has caused the parent function to change?The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.
In the picture below you can see the blue line is the graph of the function
f(x) = log(5x) and the green line is the graph of the function
g(x) = log[5(x + 4)] - 2
Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.
We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.
The function shifts to the left when you add a number to x;
The function moves to the right when you remove a number from x;
The function increases when you add a number to it;
The function decreases when you take a number away from it.
Then we get a function g(x) = log[5 (x + 4)] - 2.
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Consider the line =y+−54x4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Considering the definition of parallel and perpendicular line, the parallel line has a slope of -54 and the perpendicular line has a slope of 1/54.
What is a linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin.Parallel lineParallel lines are two lines that prolonged towards infinity never touch.
Two lines are parallel if they have the same slope.
Perpendicular linePerpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Slope of parallel line in this caseIn this case, the line is y= -54x -4.
where:
the slope is -54.the ordinate to the origin is -4.Since two lines are parallel if they have the same slope, the parallel line has a slope of -54.
Slope of perpendicular line in this caseIf you multiply the slopes of two perpendicular lines, you get –1. So:
-54 × slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-54)
slope perpendicular line= 1/54
The perpendicular line has a slope of 1/54.
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NEED HELP IMMEDIATELY!
Simplify 10√2y + 5√2y + 3√2y.
A. 18√6y
B. 18√2y
C. 12√2y
D. 18√6y^3
(ANSWER IS NOT A)
18 root
2
Step-by-step explanation:
In this question imagine there is no y
It will be 10 root2 +5 root2 +3 root 2 it will be 18 root 2
Vanessa deposit $12,000 in a saving account with an annual interest rate of 3.5%. What function represents the value of her account after x year? What will her balance be after 5 years?
Answer:
Marion’s account will have $237 more at the end of 10 years
Step-by-step explanation:
Solve using Matrices
I figured out letter a.
It's 15.75 units^2
But I just CANNOT find how to figure out b.
Someone please help!
Answer: 4823243.75 square miles
Step-by-step explanation:
We know that each unit represents 175 miles. This means that one square unit is equal to \(175^2 =30625\) square miles.
Thus, the area is \((30625)(15.75)=4823243.75\) square miles.
A club has 200 members, 45 of whom are lawyers, 38 of the memebres are liars, while 132 are neither lawyers nor liars. What is the probability that if a random person is randomly chosen from the group of lawyers, the person will be a liar?
The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.
As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.
As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):
38 ÷ 45 ≈ 0.8444444444444444
Rounded to two decimal places, this would be approximately 0.84.
As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:
0.8444444444444444 * 100 ≈ 84.44%
Rounded to two decimal places, this would also be approximately 84.44%.
So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.
This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.
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PLSSS HELP IMMEDIATELY!!!! i’ll mark brainiest if u don’t leave a link!
Answer:
A
Step-by-step explanation:
Answer: I would say it's B
Step-by-step explanation: The reason is because whiskers are primary to have, Sharp claws is a tool for animals to get food, and large beaks are used to pick at the food so they don't eat the wrong things.
A florist sold 4 fewer tulips than roses.
The florist sold 80 roses. How many
tulips did the florist sell?
Answer:
76
Step-by-step explanation:
80-4=76
Answer: ✥ ✦ ☆ ❃ ✻
The florist sold 76 roses. ✿ ✿ ❋ ✯
Step-by-step explanation:
I hope it helps you!
\(*GraceRosalia*\\IAmAnAceIWillHelpYouDon'tWorry\)
The number of caps a new online store sells increases by a factor of 4 each month. The function f(x) = 4
The store sells 64 caps in the month 3.
What are functional equations ?In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, when a statement represent a definite function using one or more dependent parameter then it is an example of a functional equation.
here, we have,
to find the given parameter from functional equation :
Given that the number of caps a new online store sells increases by a factor of 4 each month.
Function is , f(x) = 4^x
We have to find the month where it sells 64 caps.
Therefore for finding the month number, we should satisfy the value of x with the given value of f(x).
∴ f(x) = 64
⇒ 64 = 4^x
∴ x = 3
Therefore we have the month number as 3.
Thus, the store sells 64 caps in the month 3.
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The temperature in an oven changes from 350 degrees to 362% What is the percent increase in temperature, to the nearest tenth of a percent?
Answer:
3.43%
Step-by-step explanation:
362-350=12
12:350*100 =
(12*100):350 =
1200:350 = 3.43