Answer:
2-3x
Step-by-step explanation:
jeremy has 2
scarves has X
Dawniehas 3time that of scarves
Scalcet8 3. 7. 501. xp. a particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = t3 − 15t2 72t
The position of the particle at time t is given by s = f(t) = t^3 - 15t^2 + 72t, So, at t = 3 seconds, the particle's position is 108 feet.
Let's proceed with the calculation.
The law of motion for the particle is given by the function f(t) = t^3 - 15t^2 + 72t, where t represents time in seconds and s represents the displacement of the particle in feet.
To calculate the position of the particle at a specific time t, we substitute the value of t into the function f(t).
For example, let's calculate the position of the particle at t = 3 seconds:
f(3) = (3)^3 - 15(3)^2 + 72(3)
= 27 - 135 + 216
= 108 feet
So, at t = 3 seconds, the particle's position is 108 feet.
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An airplane flies 370 miles from point A to point B with a bearing of 24" . It then flies 240 miles from point B to point € with a bearing 0f 37" Draw diagram of the information. Then find the distance from point A to point C and the bearing from point A to point C
The distance from point A to point C and the bearing from point A to point C is 229.5 miles.
Given that:
AB = 370 miles
angle A = 24 degrees
BC = 240 miles
angle B = 37 degrees
To determine the distance from point A to C, we can use the cosine law since we are given two angles and two sides of a regular triangle.
The angle opposite side AC is angle B which is equal to 37 degrees.
(AC)^2 =(AB)^2 + (BC)^2 - 2(AB)(BC)cos(B)
Now we have to solve for AC:
(AC)^2 =(370)^2 + (240)^2 - 2(370)(240)cos(37)
AC = 229.48 miles.
Hence the answer is, the distance from point A to point C and the bearing from point A to point C is 229.5 miles.
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How to count 100 dollar bills
There are different ways to count 100 dollars
One of them is count 100 individual 1$dollar
Other possible way is count 20 individual $5 dollar
Other possible way is count 10 individual 10$ dollar
other possible way is count 5 individual $20 dollar
And the other possibility is just have one $100 dollar
You could count the dollar bills individually or in sections for example:
1x100
5x20
10x10
20x5
What is the equation of the line that passes through (4, -1) and (-2, 3)?
Answer:
y= - 4/6x+1.66
Step-by-step explanation:
To get the slope you subtract y2-y1 / x2-x1. This gives the slope. Then you need to get the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
what’s is the fractional value of a?
Answer:
Step-by-step explanation:
25/100
x^(1/12) = 49^(1/24), find x
The calculated value of x in the expression x^(1/12) = 49^(1/24) is 7
Calculating the value of x in the expressionFrom the question, we have the following parameters that can be used in our computation:
x^(1/12) = 49^(1/24)
Express 49 as 7^2
So, we have
x^(1/12) = 7^(2 * 1/24)
Evaluate the products
This gives
x^(1/12) = 7^(1/12)
When both sides of the equations are compared, we have
x = 7
Hence, the value of x in the expression is 7
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What is true of any triangle created by points u, v, and any point on line r t other than s? it will be a right triangle. it will be an acute triangle. it will be an equilateral triangle. it will be an isosceles triangle.
For any triangle created by points u, v, and any point on the line r t other than s, it will be an isosceles triangle.
Isosceles triangle, in geometry, refers to a triangle that has at least two equal length sides. The isosceles triangle sometimes is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length. The triangle which has at least two sides of equal length includes the equilateral triangle as a special case. An isosceles triangle has two sides that are congruent to each other and the third side which is unequal to the other two sides is called the base of the isosceles triangle. The two angles opposite to the equal sides are congruent to each other. Hence, in the given situation, any triangle created by u, v, and any point on the line r t other than s, will be an isosceles triangle as the sides UR and UV will always be equal.
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PLEASE HELP ASAP- What is the value of AB?
Answer:
the answer would be 19 because these are congruent shapes
Hope this helps:)
Step-by-step explanation:
Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).
The true statement about the function is,
⇒ The graph of the function is a parabola.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The quadratic function is,
⇒ f(x) = x² - 5x + 12
Now, We check all the options as;
For the value of f (-10), we can put x = - 10 in given equation, we get;
⇒ f(x) = x² - 5x + 12
⇒ f(-10) = (-10)² - 5×-10 + 12
⇒ f (-10) = 100 + 50 + 12
⇒ f (-10) = 162
Option 1 is wrong.
After draw the graph of quadratic equation, we get;
The quadratic function f(x) = x² - 5x + 12 represent a parabola.
Hence, Option 2 is true.
By graph it is clear that the quadratic function f(x) = x² - 5x + 12 open up and not contain the points (20, - 8) and (0, 0).
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Copper is a metal.
At room temperature copper is a strong solid.
Give two other properties of copper that show it is a metal.(pleez help ver urgent
Answer:
ductile
Step-by-step explanation:
Two other properties of copper that show it is a metal are malleable and ductile.
What is a metal?A metal is a substance that exhibits a better surface when properly processed, refined, or shattered, and transports warmth and electricity rather well. Generally speaking, metals generally malleable and ductile. These characteristics are the outcome of the metallic link that exists here between metal particles or atoms.
This suggests that the metal is ductile, malleable, and a superb energy and heat transmitter. It can be cleaned to a bright gloss and is smoother than zinc.
Unlike gold and silver, it is a member of group Ib on the regular chart. The chemical stability of copper is minimal. The metal when presented at room temperature will be in the solid phase.
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How many three-digit numbers can you make if you are not allowed to use any other digits except 1 and 2? (You may use 1 and 2 in a number more than once or not at all!)
The first digit can be 1 or 2.
For each one ...
The second digit can be 1 or 2.
For each one ...
The third digit can be 1 or 2.
That's (2•2•2)= 8 different possibilities.
click on one answer only. if you're driving for long periods of time, night or day, how long and frequent should your breaks be? one hour every ten hours thirty minutes every five hours fifteen minutes every two hours five minutes every hour
When driving for long periods of time, it is recommended to take breaks of approximately fifteen minutes every two hours.
Taking regular breaks while driving is crucial for maintaining alertness and reducing fatigue. The suggested interval of fifteen minutes every two hours allows for rest, stretching, and refreshing oneself without significantly prolonging the journey.
It helps prevent driver fatigue, improves concentration, and enhances overall safety on the road. By adhering to this guideline, drivers can effectively manage their energy levels and minimize the risk of accidents caused by drowsiness or reduced attention.
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Find the extreme values of f on the region described by the inequality.
f(x, y) = x2 + y2 + 4x − 4y, x2 + y2 ≤ 49
2.Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane.
x + 5y + 8z = 15
For the function f(x, y) = x^2 + y^2 + 4x - 4y, subject to the constraint x^2 + y^2 ≤ 49, the extreme values occur at the boundary of the region. The minimum value is -49, which occurs at the point (-7, 0), and the maximum value is 51, which occurs at the point (7, 0).
To find the extreme values of f(x, y) = x^2 + y^2 + 4x - 4y, we need to consider the boundary of the region defined by the inequality x^2 + y^2 ≤ 49. The boundary is a circle with radius 7 centered at the origin (0, 0).
First, we evaluate the function f(x, y) at the points on the boundary of the circle. Plugging in x = 7 and y = 0, we get f(7, 0) = 51, which is the maximum value. Plugging in x = -7 and y = 0, we get f(-7, 0) = -49, which is the minimum value.
Since the boundary of the region is a closed and bounded set, the extreme values occur at the boundary. Therefore, the minimum value of f is -49, which occurs at (-7, 0), and the maximum value is 51, which occurs at (7, 0).
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cylindrical container of paint is 3 cm across the top and about 7 cm high. how many cubic centimeters of paint can it hold?
The number of cubic centimeters of paint that will fit in the cylindrical container is:
66.36 cm³
How to find the volume of a cylindrical container?The volume of a cylinder can be determined by multiplying the area of the base by the height. It may be expressed using the formula:
V = πr²h
where π (pi) is approximately equal to 3.14, r is the radius, and h is the height.
You should also note that the radius of the cylinder is one-half of the diameter.
V = πr²h
Since the cylindrical container of paint has a diameter of 3 cm, its radius would be 1.5 cm. Furthermore, its height is around 7 cm. As a result, by substituting the given values into the formula, we may get the following result:
V = πr²hV = π(1.5)²(7)
V = 66.36 cm³
Therefore, the cylindrical container of paint can hold approximately 66.36 cubic centimeters of paint.
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The following angles are given in degrees, arcminutes, and arcseconds. Rewrite them in degrees and decimal fractions of degrees.A. 2 degrees 18 ′ 36 ′′B. 36 ′ 18 ′′C. 7 degrees 59′ 59′′D. 1′E. 1′′
On solving the provided question, we can say that 1 degree = 3600 arc seconds and 1 degree = 60 arc minutes.
what is degrees ?A 160 degree angle is measured in arc minutes, often known as arcmin, arcmin, arcmin, or arc minutes (represented by the sign '). One minute is equal to 121600 revolutions, or one degree, hence one degree equals 1360 revolutions (or one complete revolution). A degree, also known as a complete angle of arc, angle of arc, or angle of arc, is a unit of measurement for plane angles in which a full rotation equals 360 degrees. A degree is sometimes referred to as an arc degree if it has an arc of 60 minutes. Since there are 360 degrees in a circle, an arc's angles make up 1/360 of its circumference.
1 degree = 3600 arc seconds
1 degree = 60 arc minutes
A. 2 degree 18'36 = 2 + 18/60 + 36 / 2600 = 231 / 100 degree
B. 36 ′ 18 ′′ = 36/60 + 18/2600 = 121 / 200 degree
C. 7 degrees 59′ 59′′ = 7 + 59 / 60 + 59 / 3600 = 28799 / 3600 degree
D. 1' = 1/60 degree
F. 1" = 1/3600 degree
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Family is selected at random. find the conditional probability that the size of the family is less than 6 giventhat it is at least 3
The conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.
To find the conditional probability that the size of the family is less than 6 given that it is at least 3, we need to use the formula for conditional probability.
Let's denote A as the event that the size of the family is less than 6, and B as the event that the size of the family is at least 3.
The conditional probability of A given B, denoted as P(A|B), is calculated as follows:
P(A|B) = P(A and B) / P(B)
First, we need to find P(B), the probability that the size of the family is at least 3. Since the family is selected at random, we can assume that all possible family sizes have an equal chance of being selected.
Let's assume the total number of possible family sizes is n. The probability of selecting a family with at least 3 members is the sum of the probabilities of selecting a family with exactly 3 members, exactly 4 members, and exactly 5 members.
P(B) = P(3) + P(4) + P(5)
Next, we need to find P(A and B), the probability that the size of the family is both less than 6 and at least 3. Since any family size less than 6 is also at least 3, P(A and B) will be the same as P(B).
Finally, we can substitute the values into the formula for conditional probability:
P(A|B) = P(A and B) / P(B) = P(B) / P(B) = 1
Therefore, the conditional probability that the size of the family is less than 6 given that it is at least 3 is 1.
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There are 752 cal in 8 ounces of a certain ice cream how many calories are there in 2 pounds
Solve the problem. Round dollar amounts to the nearest cent. Use ordinary interest (360 days in a year) unless otherwise indicated. Chris Owens bought a new computer system. To pay for the system, he borrowed $3,290 from the credit union at 10(1/3)% interest for 110 days. Find the interest.
To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:
Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)
Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.
A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.
It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.
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How can i learned maths hardly?
Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.
Some tips that may help you learn maths quickly and efficientlyStart with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.
Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.
Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.
Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.
Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.
Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.
Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.
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In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical number line? What is the answer?! Help plz.
Answer:
Closer to 0 than 0.5, or under zero
Step-by-step explanation:
On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.
Answer:
The other number would be located below 0.5 on the vertical number line.
Step-by-step explanation:
If your insurance has a $2,500 deductible, and 20% coinsurance for hospitalizations, and a $5,200 out of pocket maximum, how much of a $12,500 hospitalization would you pay? $4,500 $2,500 $5,000 $2,500 $5,200
Based on the given insurance plan, if you have a $12,500 hospitalization, you would pay $2,500.
You would pay $2,500.
The $2,500 is equal to the deductible amount specified in the insurance plan. A deductible is the initial amount you need to pay out of pocket before your insurance coverage kicks in. In this case, the deductible is $2,500, so you are responsible for paying that amount.
The $2,500 is the total amount you would pay for the hospitalization. It represents the deductible portion, which you need to cover before the insurance starts sharing the costs with you. After you meet the deductible, the coinsurance comes into effect. The 20% coinsurance means that you would be responsible for paying 20% of the remaining expenses, while the insurance would cover the remaining 80%. However, since the out-of-pocket maximum is $5,200, and your hospitalization cost is $12,500, you would not reach the out-of-pocket maximum in this case. Therefore, you would pay the deductible amount of $2,500.
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Find x if f(x) = 2x + 7 and f(x) = -1.
A. 5
B. -3
C. -4
Answer: C
Step-by-step explanation: When I graphed the equation and went to -1 y, the answer was -4.
Which equation can be used to solve for x in the following diagram?
Pleasee help me with my Math is important and I need help
Answer:
aint no way im answering all of those
kid just put them in y=mx+b form by isolating the y
Step-by-step explanation:
i'll do #19 for ya
y-4 = 3(x-2)
3(x-2) turns into 3x-6 when u distribute it
y-4 = 3x-6
isolate the y by adding 4 on both sides
y=3x-2
there ~ it's in slope intercept form
Answer:
19. Y = 3x - 2
20. Y = -x - 6
21. Y = -2x + 2
22. Y = -5x + 14
23. Y = 6x - 3
24. Y = 3x + 23
25. Y = 1/2x + 5
26. Y = 1/3x + 2
27. Y = x + 1
subscript indices must be either positive integers or logicals:T/F
Therefore, subscript indices must be either positive integers or logical. True
Explanation: The statement "subscript indices must be either positive integers or logicals" is true. Subscript indices are used to identify elements in an array. A positive integer subscript identifies a particular element in an array, while a logical subscript identifies a subset of elements based on a logical condition. For example, if we have an array A, then A(1) would identify the first element of the array, while A(A > 0) would identify all elements in the array that are greater than zero. Subscript indices cannot be negative or non-integer values.
Therefore, subscript indices must be either positive integers or logical. True
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find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 5xy. (note: start your answer with y
The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.
To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:
We have:
Point: (0, 1)
Slope: 5xy
We can start by integrating the slope function to find the equation of the curve:
∫(dy/dx) dx = ∫(5xy) dx
Integrating both sides:
∫dy = ∫(5xy) dx
Integrating with respect to y on the left side gives us:
y = ∫(5xy) dx
To solve this integral, we treat y as a constant and integrate with respect to x:
y = 5∫(xy) dx
Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:
y = 5 * (1/2) * x^2y + C
Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:
1 = 5 * (1/2) * (0)^2 * 1 + C
1 = C
Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:
y = 5 * (1/2) * x^2y + 1
Simplifying further, we have:
y = (5/2) * x^2y + 1
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A group of friends wants to go to the amusement park. They have no more than $190 to spend on parking and admission. Parking is $7, and tickets cost $15. 25 per person, including tax. Write and solve an inequality which can be used to determine
�
p, the number of people who can go to the amusement park
a group of at most 8 friends can go to the amusement park with a budget of no more than $190.
Let's assume that the group of friends consists of p people.
Each person needs to pay for both parking and admission, so the total cost per person is:
Total cost per person = Parking cost + Ticket cost
Total cost per person = $7 + $15.25
Total cost per person = $22.25
To determine how many people can go to the amusement park with a budget of no more than $190, we can write and solve an inequality:
Total cost for p people ≤ Budget
$p \times 22.25 \leq 190$
Dividing both sides by 22.25 gives:
$p \leq \frac{190}{22.25} \approx 8.52$
Since p represents the number of people and must be a whole number, we round down to the nearest integer to get:
p ≤ 8
Therefore, a group of at most 8 friends can go to the amusement park with a budget of no more than $190.
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Margaret walks in 28 days if she walks for 30 minutes per day how long will she in 28 days?
Answer:
840 minutes or 14 hours
Step-by-step explanation:
30 min x 28 days = 840 min
:]
Answer: 14 Hours or 840 mins
30 × 28 = 840 mins = 14 hours
One-third of the students in Mrs. Hayko's class walk to school. Of the students who do not walk to school, four-fifths take the bus.
a.) What fraction of the students in Mrs. Hayko's class take the bus to school?
b.) How many students might be there in her class?
Answer:
The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.
Step-by-step explanation:
a)
Let 'x' be the total number of students in Mrs. Hayko's class.
One-third of the students walk to school: (1/3)x.
The remaining students who do not walk to school: (2/3)x.
Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.
Simplify to find the fraction of students taking the bus: (8/15)x.
b)
Consider different values for 'x' to find a whole number of students taking the bus.
Start with a small number, such as x = 15.
Calculate the number of students taking the bus using (8/15)x.
If the result is a whole number, it's a possible class size.
Repeat with different values of 'x' until a whole number is obtained.
The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.
One week, Huang ordered 1 pizza and 2 sodas for $12.
The next week, he ordered 3 pizzas and 4 sodas from the
same restaurant for $30. Write and graph a system of
equations to determine the cost of each pizza and the cost
of each soda from this restaurant.
Let x = the cost of a pizza
Let y = the cost of a soda
Answer: x=6 y=3
Step-by-step explanation:
12/2 = 6
1 pizza is 6 dollars
6/2=3
1 soda is 3 dollars
3*4=12
6*3=18
18+12=30