Answer:4c^2(5c+3)
Step-by-step explanation:
How many shipments had at least 10 broken tiles but less than 20 broken tiles ?
Answer:
5 shipments had at least 10 broken tiles but less than 20 broken tiles.
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
Systems of equations with different slopes and different y-intercepts have more than one solution. (5 points)
Always
Sometimes
Never
Answer:
The correct answer would be never
Step-by-step explanation:
The systems of linear equations can have:
1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.
I hope this helps
Answer:
The answer should be never, I took the test and I got it right!
Step-by-step explanation:
Evaluate the following expression.
6 ^1
Answer:
6 has the exponent of 1, meaning that 6 does not need to be multiplied by it self. So it is simpily six.
PLEASE FAST
What is the equation of the line containing the paints A and B?
a) y = - 3x + 4
b) y = 1/3x + 4
c) y = 3x + 4
d) y = - 1/3x + 4
The equation of the line containing the paints A and B is y = -1/3x + 4
How to determine the linear equation that represents the graphfrom the question, we have the following parameters that can be used in our computation:
The graph
Where, we have
(6, 2) and (0, 4)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 4
Using the other points, we have
6m + 4 = 2
So, we have
6m = -2
Evaluate
m = -1/3
So, we have
y = -1/3x + 4
As an equation, we have
y = -1/3x + 4
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netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
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3x+7x−28+31−8x for x=2043
The simplified expression is-
The value is-
AND
123−2x−3x+7 for x=5
The simplified expression is-
The value is-
Answer:
see below
Step-by-step explanation:
3x + 7x − 28 + 31 − 8x
Simplified:
2x + 3
Value when x = 2043:
2x + 3
2(2043) + 3
4086 + 3
= 4089
123 − 2x − 3x + 7
Simplified:
-5x + 130
Value when x = 5:
-5x + 130
-5(5) + 130
-25 + 130
= 105
what is 3 -7 then minus 7366 then minus 0285676 then minus 0 plus 0 then minus 656282 the minus 0mc 0 what is it you are meanoes?
Answer:
-949328 ^^
Step-by-step explanation:
Here's the answer to your idi..otic question UwU, thanks for the points!!! be seeing you soon budd!!!!
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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Find the slope of the line that passes through the two points.
Answer:
slope is 5
Step-by-step explanation:
use formula (y2-y1)/(x2-x1) to find the slope
(2-(-3))/(6-5)
= 5/1
=5
if you want the equation to the graph here:
y=mx+b
2=5(2)+b
2=10+b
b=-8
equation: y=5x-8
equalivent fraction of 2/3
Answer:
4/6
6/9
just multiply both sides by 2 and then u have an equivalent fraction
Step-by-step explanation:
have a good day and i hope i helped!
A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Answer:
128 servings
Step-by-step explanation:
It takes 1 1/4 cups to make 10 servings
1 1/4 as a mixed fraction = 5/4
So 5/4 cups makes 10 servings
1 cup makes 10 ÷ 5/4
Use the fraction rule for division
a/b ÷ c/d = a/b x c/d
10 ÷ 5/4 = 10 x 4/5 = 8 servings from 1 cup
1 gallon = 16 cups
At 8 servings per cup, total number of servings for 16 cups
= 8 x 16 = 128 servings ANSWER
Find the mean 5575 5617 3324 7860 494 3204 275 6899 578
que mats soya de mućha la pañe trasdeće
The pounds of bananas sold each week at all Metro Seattle Alberstons stores as a function of price, p, in dollars/pound(lb.) is given by.
q(p) = 100e^(1.5(5-p))
1. What is the price elasticity of demand for bananas at $.20/lb. ?
(nearest 0.01)
2. What is the price elasticity of demand for bananas at $1/lb. ?
3. At what price is the maximum revenue per week achieved?
+/- $0.01
4. What is that maximum revenue per week?
5. How many pounds will be sold each week at that optimal price
140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.
How will you solve all the parts of this question?To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:
According to the given data:
E(p) = -p(q'/q(p))
where q' is the derivative of q(p) with respect to p.
First, we need to find q'(p):
\(q'(p) = -225e^(1.5(5-p))\)
Then, we can plug in the values:
E(0.20) = -0.20(q'(0.20)/q(0.20))
= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)
= 2.70
Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.
To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:
E(p) = -p(q'/q(p))
First, we need to find q'(p):
\(q'(p) = -225e^(1.5(5-p))\)
Then, we can plug in the values:
E(1) = -1(q'(1)/q(1))
= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)
= 0.68
Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.
To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.
Revenue is given by:
R(p) = pq(p)
= \(p100e^(1.5(5-p))\)
To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:
\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)
Simplifying this expression, we get:
\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)
2 = 3p
p = 2/3
Therefore, the price that maximizes revenue is $0.67/lb.
To find the maximum revenue per week, we can plug this price back into the revenue equation:
\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)
= $167.56
Therefore, the maximum revenue per week is $167.56.
To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:
\(q(2/3) = 100e^(1.5(5-2/3))\)
= 140.55
Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.
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The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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Review the graph. Is it a function? Yes or no. Is it continuous or discrete? What is the domain? What is the range? (Please see attachment for graph and questions.
From the graph, notice that a set of four points are given.
The points are:
\((-2,-3),(-2,2),(1,3),(2,-3)\)Recall that a relation that assigns to each element x in the domain set exactly one element y from the range set is called a function.
Notice from the points that the x-value -2 is mapped to two y-values -3 and 2. Since an element is not mapped to a unique element y in the range, it follows that the relation given by the graph is not a function.
A discrete graph is one with scattered points. Since the given graph contains scattered points, it follows that the graph is discrete.
The Domain is the set of x-values. Hence, the domain is the set:
\(\mleft\lbrace-2,1,2\mright\rbrace\)The Range is the set of y-values. Hence, the range is the set:
\(\mleft\lbrace-3,2,3\mright\rbrace\)Answers:
The graph does not represent a function (No).
The graph is discrete.
The domain is {-2,1,2}
The range is {-3,2,3}
A decimal number is represented by (3 x 110) + (5 x 1100) + (8 x 11000).
Question 1
Which decimal is represented by the given expansion?
Responses
A 35.835.8
B 0.03850.0385
C 0.3580.358
D 3.58
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
Alice wants to use the stack method to pay down her debts listed in the table below. If she applies an extra $150 a month to her debts, what will be the first debt she targets to pay off and what will be the monthly amount she applies to it?
Debts Interest Rate Minimum Monthly Payment
Debt 1 5.5% $75
Debt 2 2.75% $250
Debt 3 13.25% $150
The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C
How to calculate the debt using the stack methodFrom the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.
The amount of 150 dollars would then be added to the debt that has the second highest rate.
Hence the amount of debt that would be paid off first would be the first debt based on the stack method.
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x/8=5 what is x? PLEASE HURRY ITS DUE TOMORROW!!!!
Answer:
40
Step-by-step explanation:
simple just 8 times 5
Answer:
yea 40
Step-by-step explanation:
its like regular multiplication don't overthink it
What’s a reasonable domain for V(x)=x(11-2x)(17-2x)
Answer:
(-∞ , ∞) -∞ < x < ∞
Step-by-step explanation:
function has no domain constraint
The domain of the expression is all real numbers except where the expression is undefined.
The given function is v(x)=x(11-2x)(17-2x).
What is domain and range of the function?The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x∈ R}
Therefore, the domain of the expression is all real numbers except where the expression is undefined.
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PLS HELP ASAP I NEED BOTH OF THESE
A bank loaned out 20,500, part of it at the rate of 9% annual interest, and the rest at 11% annual interest the total interest earned for both loans was 2,225.00 how much was loaned at each rate
The money loaned at 9% annual interest was 1500 and the money loaned at 11% annual interest was 19000.
Let the amount of money loaned at 9% be x
the amount of money loaned at 11% be y
According to the question,
Total money loaned = 20,500
Thus the equation formed is,
x + y = 20,500 ------ (i)
Simple interest is calculated by
I = P * r * t
where I is the simple interest
r is the rate of interest
t is the time
Thus, the interest on x = 0.09x
the interest on y = 0.11y
Total interest gained = 2,225
Thus the equation formed is,
0.09x + 0.11y = 2225 -------(ii)
Multiply (i) by 0.09
0.09x + 0.09y = 1845
Subtract the above from (ii)
0.02y = 380
y = 19000
x = 1500
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(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Question
Use the provided ruler to measure the segment shown. Find the scale of the drawing.
The length of the segment is _____ centimeters.
The scale is ___ cm : ___ mm.
The length of the segment is 2.4 centimeters.
The scale is 2.4 cm :24 mm.
How to change mm to cm?
One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.
Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.
Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,
So,
\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)
The scale is 2.4 cm :24 mm.
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whats the answer? please help meeeeeeee Asap
Answer:
8/9 is correct
Step-by-step explanation:
8/9 is your answer!
~iwa-chan
What is the domain of this graph
put in final form (only the awnser)
solve the equation -3(w+12)=-16
Pablo randomly picks three marbles from a bag of seven marbles (four red ones, two green ones, and one yellow one).
How many outcomes are there in the sample space?
How many outcomes are there in the event that all of the marbles he picks are red?
Answer:
354Step-by-step explanation:
You want to know the number of outcomes in the sample space when 3 marbles are chosen from 7. If four are red marbles, you want to know the number of outcomes when all chosen are red.
OutcomesThere are C(7,3) = 7!/(4!·3!) = 35 ways to choose 3 marbles from 7. Given that there are different colored marbles involved, not all of these outcomes are unique.
There are 35 possible outcomes.
3 RedThere are C(4, 3) = 4 ways to choose 3 red marbles from 4 red marbles.
There are 4 possible outcomes with all red marbles.
__
Additional comment
The 35 possible outcomes are ...
(RRR) - 4, (RRG) - 12, (RRY) - 6, (RGG) - 4, (RGY) - 8, (GGY) - 1
<95141404393>
Hakeem leans a 26-foot ladder against a wall so that it forms an angle of 72^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
To solve this problem, we can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side of a right triangle. Since the angle formed by the ladder and the ground is 72 degrees, we can consider the horizontal distance between the base of the ladder and the wall to be the adjacent side of the right triangle, and the height of the ladder to be the opposite side.
We can set up the following equation to represent this relationship:
tan(72^{\circ}) = opposite/adjacent
Substituting the values given in the problem, we get:
tan(72^{\circ}) = 26 feet / adjacent
To find the value of the adjacent side, we can solve for "adjacent" in the equation above. We can do this by dividing both sides of the equation by 26 feet and then taking the inverse tangent (tan^(-1)) of both sides:
adjacent = 26 feet / tan(72^{\circ})
Using a calculator or a table of tangent values, we can find that the value of tan(72^{\circ}) is approximately 3.73. Substituting this value into the equation above, we get:
adjacent = 26 feet / 3.73
Solving this equation, we find that the horizontal distance between the base of the ladder and the wall is approximately 6.99 feet. Rounding this value to the nearest hundredth of a foot, we get an answer of approximately 6.99 feet.
(pls give brainliest
Answer: 8.03
Step-by-step explanation:
helpppppppppppppppppp
Answer:
1) 4 bottles
2) $0.75
3) $5.25
Step-by-step explanation:
1)9/3 = 3 so you must divide 12 by 3
12/3=4 bottles
2)12/1=12
divide 9 by 12
9/12 =$0.75
3)12/7 =\(\frac{12}{7}\) (The actually number is too long to write so just leave it in fraction form)
9÷12/7=$5.25