From the situation described, we have that:
a. The absolute value equation is: |w - 35| = 8.
b. The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.
What is the missing information?A home improvement store sells bags of sand, which are labeled as weighing 35 pounds. The equipment used to package the sand produces bags with a weight that is within 8 pounds of the labeled weight.
What is the absolute value function?The absolute function is defined by:
|x| = x, x ≥ 0.|x| = -x, x < 0.It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.
For this problem, the difference between the weight w and 35 pounds is of 8 pounds, hence the equation is:
|w - 35| = 8.
From the definition, the solutions are given as follows:
w - 35 = -8 -> w = 27.w - 35 = 8 -> w = 43.The solutions are w = 27 and w = 43, meaning that the minimum weight is of 27 pounds and the maximum weight is of 43 pounds.
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Next week, there will be 63 campers. How many adults should the camp have next week? Show your work.
Answer: Campers: 7, 14, 28, 42
Adults: 1,2,5,30
Step-by-step explanation:
Matt had $23 to spend on eight pens. After buying them he had $7. How much did each pen cost?
Answer: $2
Step-by-step explanation:
p=cost of pens
23-8p=7
23-23-8p=7-23
-8p=-16
p=$2
Record your answers on the answer sheet provided by your teacher or on a sheet of paper.
Quadrilateral W X Y Z is a rhombus. If m∠ X Y Z=110° , find m∠ Z W Y .
If quadrilateral WXYZ is a rhombus and ∠XYZ = 110°, then ∠ZWY is equal to 110°.
Rhombus is a quadrilateral that is similar to a parallelogram since its opposite sides are parallel with each other and its opposite angles are equal. All four sides of a rhombus are of equal length and the diagonals bisect each other at 90°.
Rhombus has 4 interior angles whose sum is 360°. The opposite angles of a rhombus are equal to each other while the adjacent angles are supplementary.
∠XYZ is the opposite angle of ∠ZWY and opposite angles of a rhombus are equal to each other.
If the measure of ∠XYZ is 110°,
∠XYZ = ∠ZWY
110° = ∠ZWY
then the measure of ∠ZWY is also equal to 110°.
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How do the mean and median compare in a normal distribution?
Step-by-step explanation:
Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.
An executive invest $21,000, some at 8% and the rest at 5% annual interest. if he receives an annual return of $1,470, how much is invested at each rate
Using algebraic expression and equation, an executive assistant invested $14,000 and $7,000 at the rate of 8% and 5% annual interest, respectively.
An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".
Given that an executive invest a total of $21,000, we can express this as:
x + y = 21,000 ⇒ x = 21,000 - y (equation 1)
where x = amount invested at 8% annual interest
y = amount invested at 5% annual interest
If the annual return is $1,470, then the sum of the product of the rate and the amount is equal to the annual return.
8%x + 5%y = $1,470
0.08x + 0.05y = 1,470 (equation 2)
Substitute equation 1 to equation 2 and solve for y.
0.08(21,000 - y) + 0.05y = 1,470
1680 - 0.08y + 0.05y = 1470
-0.03y = -210
y = 7000
amount invested at 5% annual interest = $7000
x = 21,000 - y
x = 21,000 - 7000
x = 14,000
amount invested at 8% annual interest = $14000
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Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)
The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints are A(-12, 2) and C(-3,5).
Then the coordinates of the midpoint of a segment with the given endpoints will be
(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]
(x, y) = (-15/2, 7/2)
(x, y) = (-7.5, 3.5)
The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).
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The interior angle measure of a regular polygon is given. Identify the polygon.
135
The regular polygon with an interior angle of measure 135 is an octagon.
A regular polygon is a polygon that has equal side lengths and equal interior angle measures.
Interior angle of a polygon is the angle inside it that is formed by two adjacent sides. The number of interior angles formed inside a polygon is the same as the number of its sides. Meanwhile, the sum of all the interior angles of any polygon is constant to that polygon and depends on the number of sides.
sum = 180(n - 2)
Let n = number of sides of the polygon = number of interior angles
sum = measure of interior angle x n
Using the formula,
sum = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
180n - 135n = 360
45n = 360
n = 8
If the polygon has 8 sides and 8 interior angles, then the regular polygon is an octagon.
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Amanda spent $56 on seven colored markers.
How much did each marker cost?
Answer:
$56/7 = 8 She spent $8 on each marker, (that's a lot).
Step-by-step explanation:
Hope it helps
Answer:
So per $8 per marker
Step-by-step explanation:
$56 ÷ 7 =$8
Need help with this problem please
Answer:
-16
4
9
19
29
Step-by-step explanation:
Whenever one of these questions comes up, just plug in whatever number is in the x column into the x in the problem above. Ex) for 3, you would want to turn 5x+4 into 5(3)+4, which is 19.
The number of chirps per minute, c, that the tree cricket makes is linearly dependent on the temperature, t, in fahrenheit. the crickets do not chirp at all at 34 degrees and at 56 degrees they chirp about 77 times per minute. a) express the number of chirps, c, in terms of the temperature, t. c = b) how many chirps per minute will crickets make at 62 degrees? select an answer
According to the question, the crickets don't chirp at all at [tex]34[/tex] degrees or below [tex]40[/tex] degrees and at [tex]56[/tex] degrees they chirp about [tex]140[/tex] times per minute. And [tex]55[/tex] chirps per minute when crickets make at [tex]62[/tex] degrees.
What is the calculation rule?
The calculation rule is to consider chirp rate as input and temperature as output. Then count the number of chirps, divide it by four and add forty to it. Therefore, the standard formula can be written as:
Estimated temperature = [tex](\frac{1}{4} )[/tex] chirp rate+[tex]40[/tex]
This formula is a mathematical model, it predicts the chirp rate with different temperatures. In mathematics, the temperature depends on the chirp rate that means once the chirp rate value is known then the temperature calculation becomes easy.
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W + 14 = -8
What’s the value of w
W is equal to -22
W=22
Answer:
-22
Step-by-step explanation:
First, lets flip the equation so That we can find W
-8 - 14 = W
The rules of math state that a negative minus a positive can be equal to that negative turned positive plus that positive, the answer turned negative
For example
8+14 = 22
-8-14 =-22
So this means W is -22
Lets check our work
-22+ 14 =-8
So the answer is true
Hope this helps!^^
Solve for r
V= 4/3 pi r^2h
Answer:
r = [tex]\sqrt{\frac{3V}{4\pi h} }[/tex]
Step-by-step explanation:
V = [tex]\frac{4}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )
3V = 4πr²h ( isolate r² by dividing both sides by 4πh )
[tex]\frac{3V}{4\pi h}[/tex] = r² ( take square root of both sides )
[tex]\sqrt{\frac{3V}{4\pi h} }[/tex] = r
6(8f+10g) + 9g - 4(3g+9f)
Answer: 12j+7g
Step-by-step explanation:
not sure
What is the equilibrium condition given by ? (that is, what does this derivative equal in equilibrium?)
The second derivative is zero tells us nothing about stability.
What is a solution's equilibrium?
Differential equations can have solutions called equilibrium solutions when the derivative along those solutions equals zero. In other words, at that solution, the slope is a horizontal line.
Consider the following potentials:
U(x) = [tex]x^{4}[/tex]
U(x ) = [tex]x^{6 } - x^{4}[/tex]
U( x ) = [tex]x^{4} + x^{3}[/tex]
All three of these potentials have an equilibrium point at x=0. All three of these potentials are such that the second derivative of U(x) at this equilibrium point is zero.
However, you should convince yourself (perhaps by plotting these potentials) that in the first case the equilibrium is stable, in the second case it is unstable, and in the third case the equilibrium is, as you put it, "stable in one direction but unstable in the other".
The second derivative is zero tells us nothing about stability.
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Charlie's phone number is 555-3703. If he places each of the digits in a bowl and randomly selects one number at a time without replacement, what is the probability that lie will choose his phone number?
The probability that he will choose his phone number is 1/420.
we are given the phone number 555- 3703, which contains 7 digits : 3 5s, 2 3s, 1 0s, and 1 7s,
The formula for the probability of an event is:
no.of possible cases / total number of cases.
For the final result, we need to find the individual digits' probabilities and multiply them.
So, the probability of first digits: 3/7
the probability of Second digits: 2/6
the probability of third digits: 1/5
the probability of fourth digits: 2/4
the probability of fifth digits: 1/3
the probability of Sixth digits: 1/2
Therefore the probability of picking up his phone number is
= 3/7 * 2/6 *1/5 * 2/4 * 1/3 *1/2
= 1/420
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What does the slope of a line mean, and how can you find it?
PLS Give Me Brainliest!?
Answer:the slope of a line it the angle/slope that that line is at
Step-by-step explanation: slope times width
please help me with the first one
Answer:
Asking people at an international airport can be thought of as bias because there might a lot of people at the airport who are old and who like to travel.
Asking people whether they’d prefer Italy or France could be bias because what if the people are Italian? Then they’d obviously choose Italy. Or maybe they’re French and they’ve lived in France and been to France too many times and they’d rather visit Italy.
If 86% of people asked took a French course, you can assume they want to learn French (obviously) and that they probably want to learn French so they can visit and be able to communicate with others in France.
Step-by-step explanation:
Find the first five terms of each sequence. aₙ =3n+1
Answer:yes b
Step-by-step explanation:because tou add it
Find the 10 th term of each geometric sequence. a₉ =8, r= 1/2
The 10th term of the geometric sequence as described in the task content is; 4.
What is the 10tg term of the geometric sequence as given in the task content?It follows from the task content that the 10th term of the sequence is to.be determined.
On this note, since the 10th term differs from the 9th term by a factor of r, common ratio.
Hence; a(10) = a(9) × r
= 8 × (1/2)
a(10) = 4.
Ultimately, the 10th term is; 4.
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The value of a stock opens at 130.48 on monday . It change throughout the day as follow: -0.47, +2.89 , +3 .39 , -4. 47, what is the closing price of the stock
The closing price of the stock is 131.82 dollars.
What is a stock ?A stock is an equity or share that represents the ownership of a fraction of a issuing corporation.If someone holds a stock more than 50% that person decides or in charge of most of the things in that co-corporation.
According to the given question The value of a stock opens at 130.48 on monday.
Given it change throughout the day as follow: -0.47, +2.89 , +3 .39 , -4. 47.
∴ The closing price of the stock will be
130.40 + ( -0.47 +2.89 +3 .39 -4. 47 )
= 130.48 + 1.34.
= 131.82 dollars.
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how to make 86/6 a mixed number
Answer:
14 1/3
Step-by-step explanation:
You have to divide 86 by 6, which gives you 14 with a remainder of 2. This would result in 14 2/6, or simplified: 14 1/3
Answer:
14 2/6
Step-by-step explanation:
We want to transform 86/6 into a mixed number. We can achieve this by following these steps:
Step 1: Divide the numerator (86) by the denominator (6):
86 / 6 = 14 remainder 2
Step 2: Build your answer using the quotient (14) as the whole number and the remainder (2) as the numerator, keeping the same denominator (6). Thus,
The improper fraction 86/6
is equivalent to 14 2/6
simplest form is 14 1/3
MARKING BRAINLIEST!!!!
Answer:
Step-by-step explanation:
Use the distributive property to remove the parentheses. Then use the addition property of equality to move the variables to the left and the constants to the right. Then simplify both sides of equation. Divide -1.76 to both sides of equation to solve for d.
1.8(6.4d + 4) = 1.6(8.3d + 6.7)
11.52d + 7.2 = 13.28d + 10.72
11.52d -13.28d = 10.72 -7.2
-1.76d/-1.76 = 3.52/-1.76
d = -2
Determine whether each sequence is geometric. If so, identify the common ratio and find the next two terms. 1,3,5,7, . . . .
The sequence is in an arithmetic sequence, common difference is 2, next two term is 9 and 11.
The arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Here the sequence is 1, 3, 5, 7....
Here the sequence is in arithmetic sequence, so the common difference(d) is 3-1 = 5-3 = 2
So the common difference is 2
Now we need to find the next two terms, and for this, we have the formula to find the nth term of the sequence,
[tex]a_{n}[/tex] = a + (n-1)d
We have to find the 5th and 6th terms.
[tex]a_{5}[/tex] = 1 + 4×2
= 1 + 8
= 9
[tex]a_{6}[/tex] = 1 + 5×2
= 1 + 10
= 11
Therefore the sequence is in an arithmetic sequence, the common difference is 2 and the next two terms of the sequence are 9 and 11.
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how to find area of cross section
Just search it up online
In 2004,8 million Americans over the age of 7 participated in mountain biking, and in 2006,8.5 million participated.
c. If participation continues at the same rate, what will be the participation in 2013 to the nearest 10,000 ?
If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000 .
Slope(m) for given two points (x₁,y₁) and (x₂,y₂) is calculated using the formula
m=(y₂-y₁)/(x₂-x₁)
In the given question ,we will take year as x coordinate and the participation as y coordinate.
Given " The participation in 2004 was 8milllion" , So
The point becomes (2004,8)
and "the attendance in 2006 was 8.5 million" So
the point becomes (2006,8.5)
Now as we have the two points (2004,8) & (2006,8.5) ,
x₁=2004 , y₁=8 , x₂=2006 , y₂=8.5
slope can be calculated as
m=(8.5-8)/(2004-2006)
m=0.5/2
m=0.25
Hence , the rate of change is 0.25 million participants per year.
It is given in the question that rate of change remains constant.
To predict the attendance for the year 2013.
Let the attendance for the year 2013 be x.
we have (2004,8) and (2013,x)
let m=0.25, x₁=2004 , y₁=8 , x₂=2013 , y₂=x
m=(y₂-y₁)/(x₂-x₁)
Substituting the values above we get
[tex]0.25=\frac{8-y}{2013-2004} \\ \\ 0.25=\frac{8-y}{9}[/tex]
By cross multiplying we get
[tex]0.25*9=8-y\\ \\ 2.25=8-y\\ \\ y=8-2.25[/tex]
[tex]y=5.75[/tex]
Therefore , If participation continues at the same rate, the participation in 2013 will be 5.75million i.e. 5750000.
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COORDINATE GEOMETRY Find the measures of the sides of ΔJ K L and classify each triangle by the measures of its sides. (Lesson 4-1)
J(4,6), K(4,11), L(9,6)
ΔJKL has sides that measure 17.07 units.
What is the definition of a triangle?A triangle is a three-sided polygon with three edges.It is a basic geometric shape.Triangle ABC is a three-vertical triangle with the letters A, B, and C.In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.So,
The formula of perimeter: √(x₂−x₁)²+(y₂−y₁)²
Filling the values in the formula, we obtain:
= √(4−4)²+(11−6)²= 17.07 unitsThen, each side of the triangle will be: 17.07 units
Therefore, ΔJKL has sides that measure 17.07 units.
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There are 2 gyms. One, Buff Billy's, has a joining cost
of $80 and charges $25 a month. The other,
Shredded Eddie's, has no joining cost but charges
$35 a month. At what month are both gyms the same
total cost?
In linear equation, the intersection at coordinate (9, 315).
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Gym one:
f(x) =80 x + 25
Gym two:
g(x) = 35x (+ 0 [since there was no joining fee])
The first month is easy.
Gym one's cost is just the joining fee plus the one month of membership fee. Or...
105 = 80(1) + 25
Gym two's cost is just that first month's membership fee. Or...
35 = 35(1) + 0
then second month
[f(x) = 185 = 80(2)+25
g(x) = 70 = 35(2)],
then a tenth month [
f(x) = 825 = 80(10) + 25;
g(x) = 350 = 35(10)]
and that gym one's cost exceeded the cost of gym two,
back one month and found the answer.
By month nine, both gyms had equalized at $315.
the intersection at coordinate (9, 315).
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Two lines perpendicular to the same line are ___ to each other.
Answer: well they are parallel to each other
Answer:
parallelStep-by-step explanation:
Two lines perpendicular to the same line are ___ to each other.
Two lines perpendicular to the same line are parallel to each other.
HElp me pleaseASAP
F(x) = -3x + 12, what is F(4)
G(x) = 2x - 8, what is G(-5)
6. Which one of these pictures is not like the others? Explain what makes it different using
ratios.
How do i explain this
