Answers
Answer:
1. Coefficient
2. Variable
Related Questions
Polluted water is passed through a series of filters. Each filter removes 90% of the remaining impurities from the water. If you have 10 million particles of pollutant per gallon originally, how many filters would the water need to be passed through to reduce the pollutant to below 500 particles per gallon? You can only use a whole number of filters.
Answers
Answer:
5 filters
Step-by-step explanation:
1 filter = 1 million remain
2 filter =100,000 remain
3 filter =10,000 remain
4 filter =1,000 remain
5 filter = 100 remain which is below to 500
To reduce the pollutant to below 500 particles per gallon, the water would need to be filtered through 13 filters.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Let's first define a variable, p, to represent the number of filters. We can then say that the number of particles remaining in the water after the first filter is applied is 0.9 x 10,000,000 = 9,000,000 particles per gallon.
After the second filter is applied, the number of particles remaining is 0.9 x 9,000,000 = 8,100,000 particles per gallon, and so on.
This equation would be \(0.9^p \times 10,000,000\). We want to find the smallest value of p that makes this expression less than 500.
We can solve this by setting the expression equal to 500 and solving for p. This gives us the equation \(0.9^p \times 10,000,000=500\).
Solving for p, we get p = log(500/10,000,000) / log(0.9), which is approximately 12.39.
Since we can only use a whole number of filters,
Thus, we would need to use 13 filters to reduce the pollutant to below 500 particles per gallon.
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How many minutes is 65% of 3 hours? ____ just write the number part of the answer.
Answers
Answer:
117
Step-by-step explanation:
There are 60 minutes in each hour, and to find how many minutes there are in 3 hours you would have to multiply 3 x 60.
3 x 60 = 180
To find 65% of 180 you can use the equation
65 x 180/100
65 x 180 divided by 100 is 117.
Tay-Sachs disease is a genetic disorder that is usually fatal in young children. If both parents are carriers of the disease, the probability that their offspring will develop the disease is approximately 0.25. Suppose that a husband and wife are both carriers and that they have four children. If the outcomes of the four pregnancies are mutually independent, what are the probabilities of the following events?
a. All three children will develop Tay–Sachs disease.
b. Only one child will develop Tay–Sachs disease.
c. The third child will develop Tay–Sachs disease, given that the first two did not.
Answers
Lo siento mucho, necesito los puntos porque estoy en una prueba.
Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong
Answers
KM, JK, PK, and MJ are shown on the diagram.
Then the correct options are B, C, D, and F.
Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
A line segment in mathematics has two different points on it that define its boundaries.
All the line segments will be
JK, JM, KM, MP, PK, and KL
The triangle KPM.
And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.
Then the correct options are B, C, D, and F.
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Find the measure of angle x. Round your answer to the nearest hundredth.
Answers
Answer:
28.07°
Step-by-step explanation:
use SohCahToa
in this case we use tan^-1 to get the angle x°
tan^-1(8/15)=28.07248694
to the nearest hundredth
=28.07°
A fruit company delivers its fruit in two types of boxes: large and small.
A delivery of 2 large boxes and з small boxes has a total weight of 78 kilograms. A delivery of 6 large boxes and s small boxes has a total weight of 180 kilograms. How much does each type of box weigh?
Answers
let's try to understand this.
a fruit company delivers its fruit in two types of boxes: large and small.
DeA group of fruit companies delivers its fruit in two types of boxes: large and small.
You can set x = weight of the large box and y = weight of the small box. Since they tell you 3 large boxes and 5 small boxes have a total weight of 77 kg you can create an equation of 3x+5y = 77. They also tell you that 6 large boxes and 2 small boxes have a total weight of 104 kg so you can write 6x+2y = 104.
Now you have two equations and two unknowns so you can solve using systems of equations.
3x+5y=77
6x+2y=104
You can see that you can easily multiply the first equation by 2 to get a 6x and leave the second equation as is since it also has a 6x so you can subtract the two equations to eventually only have one variable.
6x+10y = 154
-(6x+2y=104)
___________
8y = 50
y = 50/8 = 25/4 kg
Now you solved for the smaller box's weight and you can plug it into any of the two equations above to solve for x.
6x+2(25/4) = 104
6x+25/2=104
6x+25/2 = 208/2
6x = 183/2
x = 183/12 = 61/4 kg (the larger box's weight)
You can check your answer by plugging in these values of x and y into both equations to make sure they still hold.
therefore: x = 183/12 = 61/4 kg (the larger box's weight)
Select the statement that is not true.
A. The translation of a line is a pair
of parallel lines.
B. The rotation of a pair of parallel lines is a pair of parallel lines.
C. The reflection of a line is a line.
D. The rotation of a line is a line.
Answers
Answer: B. The rotation of a pair of parallel lines is a pair of parallel lines.
Explanation: A translation of a line is a displacement of the line, or a transformation which moves all points of the line, without changing its shape or orientation. This means that a pair of parallel lines will remain parallel after a translation.
A rotation of a line is a transformation in which all points of the line are rotated around a pivot point, and the line will change its orientation.
A reflection of a line is a transformation in which all points of the line are reflected across a single axis. This means that a line will remain a line after a reflection.
Therefore, the statement that is not true is B. The rotation of a pair of parallel lines is a pair of parallel lines.
Please help me ;-; idk how to do this
Answers
Answer:
7.5
Step-by-step explanation:
12.5/10=1.25
7.5/6=1.25
I buy a 5 kg jar of sweets for £25. Then i divide the sweets into 125g packets and sell them for 99p each
Answers
Answer:
is that the whole question? it looks unfinished to me-
Find the area of a rectangle whose length (L) = 15 in. and width (W) = 2 in.
(a) 17 in ²
(c) 13 in. ²
(b) 30 in.²
(d) 68 in.²
Answers
Cuz area is LxW
In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
Answers
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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Help me please this is due today and I’m stuck on this question
Answers
Answer:
\(b = 90\)
\(c=80\)
\(d =100\)
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
\(b + 10 + b - 10 = 180\) --- base angles of a parallelogram
Collect like terms
\(b + b =180+10-10\)
\(2b = 180\)
Solve for b
\(b = 180/2\)
\(b = 90\)
Then, we have:
\(d =b + 10\)
\(c = b - 10\) --- opposite angles
So, we have:
\(d =90 + 10\)
\(d =100\)
\(c = 90 - 10\)
\(c=80\)
which point lies on the line with a slope of m= 7 that passes through the point (2, 3)(10,3)(4,-3)(3,10)(-3,-4)
Answers
which point lies on the line with a slope of m= 7 that passes through the point (2, 3)
step 1
Find the equation of the line in point slope form
y-y1=m(x-x1)
we have
m=7
(x1,y1)=(2,3)
substitute
y-3=7(x-2)
REmember that
If a point lies on the line, then the point must satisfy the equation
Verify each point
1) (10,3)
For x=10 and y=3
substitute in the equation
3-3=7(10-2)
3-3=56
0=56 ------> is not true
that means, the point not lies on the line
2) (4,-3)
For x=4, y=-3
-3-3=7(4-2)
-6=42 -----> is not true
3) (3,10)
x=3, y=10
10-3=7(3-2)
7=7 -----> is true
the point lies on the line
therefore
answer (3,10)
If John has drank three drinks per day how many will he have drank in 3 day's?
Answers
Answer: 9
do the 3 times table
Step-by-step explanation: if 3 in 1 than 9 in 3
hoped this helped let me know if it did
The class midpoint for the class 23 - 29 is
Answers
The midpoint is 26.
Midpoint in this scenario = mean
(23+29)/2 = 26
Answer:
-6
Step-by-step explanation:
The local farmers' market usually sells potatoes for $0.90 per pound. on fridays, they sell potatoes at a 30% discount. the market also sells cantaloupes for $3.50 each. which of the following represents the total cost, c , if a customer buys 2 cantaloupes and p pounds of potatoes on a friday?
A. c = 0.63p + 7
B. c = 0.9p + 7
C. c = 0.3p +3.5
D. c = 0.9p + 3.5
Answers
If a customer buys 2 cantaloupes and p pounds of potatoes on friday from the local farmers' market, the total cost equation would be A. C = 0.63p + 7.
Equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation also often contain an algebra. Algebra is used in maths when you do not know the exact number in a calculation.
Based from the question above, we don't know the exact number of potato that the customer bought. We only know that the customer buys p pounds of potatoes.
Potato price = $0.90
on Friday, the potato price is (30% discount)
= 0.90 - (0.90 * 30%)
= $0.63
Since the customer buys for p pounds of potatoes, therefore the total cost of potatoes
= $0.63 * p
= 0.63p
From the question above, we know that the customer buys 2 cantaloupes.
cantaloupes price = $3.50 each
The total cost for cantaloupes
= 2 * $3.50
= $7
Now, let's put it into the total cost equation to find the answer from the multiple choice.
Total cost (c) = 0.63p + 7
Therefore, the answer is A.
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Merrisa is booking a holiday costing £660.
She needs to pay a deposit of of the total cost of the booking
How much does she pay?
Answers
The amount of money she will have to pay for booking of the holidays would be = £220
How to calculate the amount ofr deposit?The total amount of money that will cost Merrisa for booking of holidays = £660
The fraction of the total cost that she needs to deposit = 1/3
Therefore, the actual amount that she needs to deposit = 1/3 of £660
= 1/3× 660
= £220
Therefore, in conclusion, Merrisa would have to pay a total of £220 for booking of the holidays. This total amount is ⅓ of total cost of booking.
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If 4A=5B and 6B=7C, find A:B.C
Answers
Answer:
A:B:C = 35:28:30
Step-by-step explanation:
(Idk if it is the correct process but I remember doing it like this)
First...
4A = 5B
or, A/B = 5/4
= 5×7/4×7
= 35/28
Next...
6B = 7C
or B/C = 7/6
= 7×5/6×5
= 28/30
(Since there are two Bs which are 4 and 7, we divided it like 4×7 and 7×4 so they would be equals since both Bs should have same value. So we need to divide both denominator and numinator with same number.)
so...
A:B:C = 35 : 28 : 30
Solve the following inequality:
Answers
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
A company is painting the exterior walls of a warehouse. find the lateral surface are of the walls in square feet if the walls are 100 ft., 200 ft, and 30 ft
Answers
The lateral surface area of the walls of the warehouse is 18,000 sq ft.
Area is a measure of the size of a surface or the amount of space that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.
To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:
Lateral Surface Area = 2 * (l * h + w * h)
where l is the length of the wall, w is the width of the wall, and h is the height of the wall.
Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:
Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft
Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft
Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft
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3^-2 find the equivalent expression from these choices
Answers
The fourth expression 3⁻⁷/3⁻⁵ is equivalent to 3⁻².
What exactly are expressions?
In mathematics, an expression is a combination of numbers, variables, operators, and functions that are combined in a particular way to represent a mathematical value or relationship. Expressions can be simple or complex, and they can involve any number of mathematical operations.
Expressions can be used to represent many mathematical concepts:
Arithmetic operations: addition, subtraction, multiplication, and divisionExponents and logarithmsTrigonometric functions: sine, cosine, and tangentAlgebraic equations: variables and constantsCalculus: derivatives, integrals, and limitsNow,
To find the equivalent expression of 3⁻², we can simplify each of the given choices using the rules of exponents:
1. 3⁻²/3³ = 1/3²⁺³ = 1/3⁵
2. 3⁻⁷/3⁵ = 3⁻⁷⁻⁵ = 3⁻¹²
3. 3³/3⁻¹² = 3³⁺¹² = 3¹⁵
4. 3⁻⁷/3⁻⁵ = 3⁻⁷⁺⁵ = 3⁻²
Out of the given choices, the fourth choice 3⁻⁷/3⁻⁵ is equivalent to 3⁻².
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_______ is the lowest point in a particular section of the graph.
A. relative maximum
B. relative minimum
C. absolute maximum
D. absolute minimum
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. relative minimum
Step-by-step explanation:
This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.
How do you solve 6^14/(2^5)(3^7)?
Answers
Answer:
1119744
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
\(\frac{6^{14}}{(2^5)(3^7)}\)
Step 2: Evaluate exponents
6¹⁴ = 78365164096
2⁵ = 32
3⁷ = 2187
Step 3: Replace
\(\frac{78364164096}{32(2187)}\)
Step 4: Multiply
\(\frac{78364164096}{69984}\)
Step 5: Divide
1119744
URRGENT PLEASE HELP!!!! DOC ATTACHED
Answers
1. A conditional statement can be written as
If it is sunny then there is daylightThe hypothesis is: It is sunny
The conclusion is: there is daylight
2. The converse of the conditional statement
If there is daylight then it is sunny3. The inverse of the conditional statement
If it is not sunny then there is no daylight4. The contrapositive of the conditional statement
If there is no daylight then it is not sunny5. The biconditional statement and can be written because the statement and the converse are both true
6. The biconditional statement is
it is sunny if and only if there is daylightHow to identify a conditional statementA conditional statement is a term used in logic that refers to the type of statement that has "if-then". It is sometimes called if-then statements. Conditional statement are of two parts the hypothesis required to ensure that the conclusion. Other forms of conditional statements are
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an oil company bores a hole 80m deep estimate the cost of boring if the cost is £30 for drilling the first meter with an increase in cost of £2 per meter for each succeeding meter
Answers
Answer: £188
Step-by-step explanation:
Given
The depth of the hole is 80 m
For the first meter, it is £30
After that, it is £2 per meter
after a meter, it is 79 m more
The total cost is C
\(\Rightarrow C=30+2\times 79\\\Rightarrow C=30+158=188\)
Divide 2x^3+4x^2+5 by x-3 using long division.
Answers
Answer:
2x^2 + 10x + 30 + 95/x-3
Step-by-step explanation:
Hope this helps!
100 POINTS AND BRAINLIEST!!
Answers
Answer:
Step-by-step explanation:
4. A = 1/2(2+6)3 = 12
5. m∠a = 50 because the 2 horizontal lines are parallel
m∠b = 180 - 110 = 70 because consecutive angles in a parallelogram are supplementary
Answer:
4. A = 1/2(2+6)3 = 12
5. m∠a = 50
m∠b = 180 - 110 = 70
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options
Answers
Respuesta de la expresión 5 + {4 * 6÷3+1+ [3-(4-8) + (3-2)] }
Answers
Answer:
Vota Trump
Step-by-step explanation:
Write the equation of the line, in slope-intercept form, with the following information: slope:-1/12 point: (36, 2)
Answers
Answer:
y = - 1/12x + 5------------------------------------
Use point-slope form first and convert to slope-intercept.
Point-slope form:
y - y₁ = m(x - x₁), where (x₁, y₁) is a point and m- slopeSlope-intercept form:
y = mx + b, where m- slope, b- y-interceptPlug in the values:
y - 2 = - 1/12(x - 36)y - 2 = - 1/12x + 3y = - 1/12x + 3 + 2y = - 1/12x + 5Answer:
y = - 1/12x + 5
Step-by-step explanation: