Answer:
the answer for the number of stickers in all 4 boxes is 1200.
Step-by-step explanation:
there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.
I am a parallelogram. Two of my sides are parallel to the bottom of the paper. The endpoints of the bottom side are at (2, 5) and (9, 5). The slope of the line segments that form my two sides is 0.75, and the length of each side is 5 units. What are my other two vertices?
According to the information, the vertex at the top left of the parallelogram is (4, 8.25). Thus, the other two vertices of the parallelogram are (2, 5), (9, 5), (7, 8), and (4, 8.25).
How to find the vertices of the parallelogram?To find the vertex of the parallelogram we can use the point-slope form of a line: y - y1 = m(x - x1), where,
m = slope(x1, y1) = point on the lineFor the side sloping up from left to right, we can use the point (2, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = 0.75(x - 2)Simplifying, we get:
y = 0.75x + 3.5To find the point where this line intersects the top side of the parallelogram, we can use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (2, 5) is 5 units away from the intersection point in the x-direction, so we can add 5 to the x-coordinate to find the intersection point. Plugging in x = 7 into the equation above, we get:
y = 0.75(7) + 3.5 = 8Therefore, the vertex at the top right of the parallelogram is (7, 8).
For the side sloping down from left to right, we can use the point (9, 5), since it is on the bottom side of the parallelogram. Plugging in the values, we get:
y - 5 = -0.75(x - 9)Simplifying, we get:
y = -0.75x + 11.25To find the point where this line intersects the top side of the parallelogram, we can again use the fact that the length of the sloping side is 5 units. We know that the endpoint of the bottom side at (9, 5) is 5 units away from the intersection point in the x-direction, so we can subtract 5 from the x-coordinate to find the intersection point. Plugging in x = 4 into the equation above, we get:
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Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in the bag on the days after it was brought.
A firm makes two products X and Y, and has a total production capacity of 9 tones per day, X and Y requiring the same production capacity. The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company. Each tone of X requires 20 machine hours of production time and each tone of Y requires 50 machine hours of production time. The daily maximum possible number of machine hour is 360. All the firm’s output can be sold, and the profit made is birr 80 per tone of X and birr 20 per tone of Y. it is required to determine the production schedule for maximum profit.
The production schedule for maximum profit is; X = 3 and Y = 6 with a maximum profit of $960
How to solve Linear Programming problems?We are told that two products X and Y, has a total production capacity of 9 tones per day, X and Y requiring the same production capacity
The firm has a permanent contract to supply at least 2 tones of X and at least 3 tones of Y per day to another company.
Let product A be x and product B be y. Therefore we have the following inequalities and constraints as;
x + y ≤ 9
x ≥ 2
y ≥ 3
Now, we are told that each tonne of A requires 20 machine hours of production time and each tonne of B requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. Thus, we have;
20x + 50y ≤ 360
Wea re told that all the firm's output can be sold and the profit made is $80 per tonne of A and $120 per tonne of B. Thus, we have the inequality as;
Z = 80x + 120y maximize
The solution from the graph attached is;
x = 3, y = 6
Thus, the maximum profit is;
Z = 80(3) + 120(6)
Z = 960
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can someone help me with this question?
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.18. The probability that it will not rain and the flight will leave on time is 0.8. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
The probability that it is raining if the flight has been delayed is 0.07, or 7%.
How to calculate the probabilityWe can use the following formula to calculate the probability that it is raining if the flight has been delayed:
P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)
We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):
= 0.07 * 0.18
= 0.0126.
Substituting these values into the formula, we get:
P(Rain|Delayed) = 0.0126 / 0.18 = 0.07
Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.
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1. 18x^3-2x^2+4x-1
1.1 How many terms are in 18x^3-2x^2+4x-1
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
The number of terms in a polynomial helps when performing operations like simplification, factoring, or evaluating expressions.
The polynomial 18x³ - 2x² + 4x - 1 consists of four terms.
In order to determine the number of terms in a polynomial, we count the number of distinct algebraic expressions separated by addition or subtraction operations.
In this polynomial, we have:
Term 1: 18x³ (This is the term with the highest degree, which is 3 in this case, and it includes the coefficient 18.)
Term 2: -2x² (This term has a degree of 2 and a coefficient of -2.)
Term 3: 4x (This term has a degree of 1 and a coefficient of 4.)
Term 4: -1 (This is a constant term with a degree of 0.)
We can see that there are four distinct terms separated by addition and subtraction operations:
18x³, -2x², 4x, and -1.
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1yard=36 inches2/3 yard= what inches
ANSWER:
2/3 yard will gives 24 inches
EXPLANATION
Given that: 1 yard = 36 inches
2/3 yard = what inches
Let x = what inches
To find x, we need to establish a proportion
1 yard = 36 inches
2/3 yard = x inches
Cross multiply
1 * x = 36 * 2/3
x = 36 x 2 / 3
x = 72 / 3
x = 24 inches
Hence, 2/3 yard will gives 24 inches
seb buys 1 gallon of paint that covers 400 square feet
The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.
How to find the amount of paint ?There would be two walls with 10 x 16 dimensions so the area is :
= 2 x 10 x 16
= 320 square feet
Two walls with 20 x 10 dimensions :
= 2 x 20 x 10
= 400 square feet
The total area is :
= 400 + 320
= 720 square feet
One gallon of paint can cover 400 square feet so the number of gallons needed is:
= 720 / 400
= 1. 8 gallons
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Full question is:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.
Find the area of EFGH
The area of triangle FGH that is similar to triangle ABC is: 8 square feet.
What is the Area of Similar Figures?If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.
Therefore:
area of triangle EFG / area of triangle ABC = FG²/BC²
Plug in the values
area of triangle EFG / 18 = 2²/3²
area of triangle EFG / 18 = 4/9
area of triangle EFG = (18×4)/9
area of triangle EFG = 8 sq. ft.
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Damario invite friends over for a special dinner. For drinks, he made 32 gallons of lemonade. Each gallon had 16 cups. Each of Damario's 18 friends drank 9 cups of lemonade. How many cups of lemonade does Damario have left?
Brainliest if correct
Answer:
-11u
Step-by-step explanation:
A light bulb consumes 3600 watts hours per day. How long does it take to consume 13500 watts hours
Answer:
3.75 days
Step-by-step explanation:
To find out how long it takes to consume 13500 watt hours, you would divide 13500 by the number of watt hours consumed per day, which is 3600.
13500 / 3600 = 3.75
So it takes 3.75 days for the light bulb to consume 13500 watt hours.
please help by tomorrow
What is the Cubed root of -108
Answer:
about -4.7622
Step-by-step explanation:
You want the cube root of -108.
CalculatorYour calculator will tell you the cube root of -108 is about -4.7622.
__
Additional comment
Some calculators compute roots using logarithms. Since the logs of negative number are not real, they will give you an error if you try to do this directly. You have to know that the odd index root of a negative number is the opposite of the same root of its absolute value.
The prime factoring of 108 is 2²·3³. Factoring out the perfect cube gives the simplified form ...
∛-108 = -3∛4
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A recent survey of students at John Tukey High School revealed that
18% of the students are in favor of changing the dress code. If you ran-
domly select 15 students from this school, what is the probability that
at least three of these students are in favor of the proposal to change the
dress code?
Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that \(p = 0.18\)
You randomly select 15 students
This means that \(n = 15\)
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is
\(P(X \geq 3) = 1 - P(X < 3)\)
In which
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)\)
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051\)
\(P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678\)
\(P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578\)
\(P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766\)
\(P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234\)
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
How many inches are in 4 feet 6 inches?
6 inches
54 inches
46 inches
48 inches
Answer:
54 inches
Step-by-step explanation:
There are 12 inches in 1 foot
12in = 1ft
There are 4 feet and 6 inches
If you break it down its 4×12
4 × 12 = 48
Add 6 inches
48 + 6 = 54
Therefore the answer would be 54 inches
Your welcome <3
Mary jogged 2 7/8 miles per hour for 2 2/3 hours. During 1/3 of her jogging time, she was jogging in the rain. How many miles did she jog in the rain?
Answer:
C
Step-by-step explanation:
QRRT
A deck is shaped like a parallelogram with a base length of 27 feet and a height of 11 feet. A can of wood stain will cover 40 square feet.
How many cans of stain will be needed to stain the deck?
Enter your answer in the box.
From the area of the parallelogram, it is found that 8 cans of stain will be needed to stain the deck.
What is the area of a parallelogram?The area of a parallelogram of base length l and height h is given by:
A = lh
In this problem, the dimensions are l = 27, h = 11.
Hence, the area, in square feet, is given by:
A = 27(11) = 297.
Each can cover 40 square feet. How many cans are needed for 297 square feet?
\(n = \frac{297}{40} = 7.425\)
Rounding up, 8 cans of stain will be needed to stain the deck.
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Answer: 8 cans
Here's Proof
Use the definition of continuity and the properties of limits to show that the function is continuous at the given number (a).
f(x) = (x+3x^5)^4 , a= (-1)
 lim f(x) as x approaches -1 (x+3x^5)^4
= (lim x +3 times lim x^5)^4
= (-1 +3 (???)^5)^4 ------got stuck here
= ???
f(-1) = ??
The function\(f(x)\) is continuous at \(x = -1.\)
We must demonstrate the following to establish that the function \(f(x) = (x+3x5)4\) is continuous at \(a=-1\)
if\(x -1\), then\(f(x) = f (-1)\)
\(f(-1) = (-1 + 3(-1)^5)^4 = (-1 - 3)^4 = 16\)
The phrase \(lim x -1\)f can then be made simpler using the properties of limits (x). The formula for binomial expansion allows us to express \(f(x)\) as follows:
\(f(x)=x4 + 12 + 9 + 54 + 13 + 108 + 81\)
Next, we have
\(lim x → f(x) = -1 lim x (x4 + 12x9 + 54x13 + 108x17 + 81x21) - 1 = lim x -1 x^4 + lim x → -1 12x^9 + lim x → -1 54x^13 + lim x → -1 108x^17 + lim x → -1 81x^21 \s= (-1) (-1) ^4 + 12(-1)^9 + 54(-1)^13 + 108(-1)^17 + 81(-1)^21 \s= 1 - 12 + 54 - 108 + 81 \s= 16\)
Therefore, since \(lim x → -1 f(x) = f(-1)\), the function \(f(x)\) is continuous at\(x = -1.\)
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A class contains 5 girls and 7 boys. Two are selected for a class committee. What is the probability that a girl and boy are selected?
The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.
Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.
Determine the total number of students in the class. That is 5 + 7 = 12.
Determine the number of ways to select two students from the class.
Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.
In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).
C(12, 2) = 12! / (2!(12-2)!) = 66.
Determine the number of favorable outcomes.
In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.
To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):
Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.
So, the probability of selecting a girl and a boy for the class committee is 5/6.
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-4x = 7y + 13
Find the slope of the line
Answer:
-4/7
Step-by-step explanation:
The first step of this problem would be changing the format of the equation so that it fits into slope-intercept form.
-4x = 7y + 13
-4x -7y = 13 (subtract 7y from both sides)
-7y = 4x + 13 (add 4x to both sides)
7y = -4x -13 (divide both sides by -1)
y = -4/7x - 13/7 (divide both sides by 7)
Now that it is in slope-intercept form, finding the slope is simple as long as you know what to look for.
Remember that y is simply a variable, just because it is at the beginning of the equation does not mean -4/7x - 13/7 is the answer. The question is asking specifically for the slope of the line. Slope in this equation is m. If y = mx + b, then m = -4/7.
The slope of the line is -4/7.
kid had a apple he split with his friends
Answer:
The approximate diameter of the mirror is;
\(20\text{ inches}\)Explanation:
Given that the length of ribbon that is enough to go round the circular mirror once is 63 inches which is equal to the circumference of the mirror.
\(C=63\text{ inches}\)Recall that the formula for the circumference of a circle is;
\(\begin{gathered} C=2\pi r \\ C=\pi d \\ d=\frac{C}{\pi} \\ \text{where;} \\ C=\text{circumference} \\ r=\text{radius} \\ d=\text{diameter} \end{gathered}\)Substituting the value of C to calculate d;
\(\begin{gathered} d=\frac{C}{\pi}=\frac{63}{\pi}\text{ inches} \\ d=20.05\text{ inches} \\ d\approx20\text{ inches} \end{gathered}\)Therefore, the approximate diameter of the mirror is;
\(20\text{ inches}\)A team of researchers is testing the effectiveness of a new HPV vaccine. They randomly divide the subjects into two groups.
Group 1 receives a placebo, and Group 2 receives new HPV vaccine.
The patients in the study do not know which group they are in.
Which is the treatment group?
Group 1
Group 2
Neither group
Correct
Answer:friends
Step-by-step explanation:
Graph the circle (x-2)^2 + (y-7)^2 = 4
Answer:
see attached
Step-by-step explanation:
You want the graph of the circle defined by the equation ...
(x-2)^2 + (y-7)^2 = 4.
Circle equationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Comparing this to the given equation, we see ...
h = 2, k = 7, r² = 4
Then r = √4 = 2.
The circle will have its center at (2, 7) and will have a radius of 2. It is shown in the attached graph.
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At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?
x + y < 12
x + y > 12
x + y ≤ 12
x + y ≥ 12
The inequality that best represents the purchase made by Gabriela, given the number of hand soaps and lotions purchased, is x + y > 12
How to find the inequality ?Gabriela bought more than 12 bottles of hand soaps and lotions which simply means that the total number of these items that Gabriela bought as more than 12 bottles when added together.
The inequality would therefore be:
Number of hand soaps + Number of lotions > 12
Assuming the number of hand soaps is x and the number of lotions is y, the inequality would be:
x + y > 12
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Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10
10a +12
9a +12
12a+10
10a +22
The equivalent expression is (c) 12a + 10
How to determine the equivalent expressionWe can apply the associative property of addition and group the like terms together first:
2(a + 5) + 4(2a + 3) - 10
= 2a + 10 + 8a + 12 - 10 (distributing 2 and 4)
= 10a + 12 (combining like terms)
Now we can apply the commutative property of addition to rearrange the terms in any order we want:
10a + 12 = 12 + 10a
Hence, an expression equivalent to 2(a+5)+4(2a+3)−10 using the associative and commutative properties is: 12 + 10a
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At LevelSolve for the variable. Round to 2 decimal places. (Make sure your calculator is set on degrees!)37°37Х
Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Which of the following is not a condition for a geometric setting?
The trials are independent
The probability of success is the same for each trial
There are a fixed number of trials
The variable of interest is the number of trials required to reach the first success
There are only 2 outcomes for each trial
There are a fixed number of trials is not a condition for a geometric setting
In a geometric setting, we are dealing with a sequence of independent trials, where each trial can result in either a success or a failure.
The key concept in a geometric setting is the number of trials needed until the first success occurs.
The trials are independent is essential in a geometric setting.
It means that the outcome of one trial does not affect the outcome of subsequent trials.
The probability of success is the same for each trial is also crucial in a geometric setting.
It implies that the probability of achieving a success does not change from trial to trial.
There are a fixed number of trials is not specific to a geometric setting.
The variable of interest is the number of trials required to reach the first success is fundamental to a geometric setting.
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HELP MIDDLE SCHOOL MATH BRAINLIEST 30 POINTS
Answer:
Step-by-step explanation:
A. -1/3x
B. -x
c.-5/4x