Lisa swims laps during swim practice. Her coach tells her to swim a certain number of meters (total) each week. Here's a formula for this scenario:
p= t/n
t= total number of meters
p= length of a lap (in meters)
n= number of laps Lisa swims
Lisa wants to know how many laps she must swim to meet her goal. Rewrite the formula to determine the number of laps (not a multiple choice, you don't have to show work) someone please help!
Answer:
formula = n = t / p
Step-by-step explanation:
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers shee can drive with 12 liters of fuel. How many kilometers can Pamela drive with 12 liters of fuel?
Answer:
132 km
Step-by-step explanation:
1. she can drive 99 km (kilometers) with 9 liters of fuel, 99/9 is 11
2. if she wants to find out how many kilometers she can drive with 12 liters of fuel, then just multiply 12x11 which is 132
Find the probability for the experiment of tossing a six-sided die twice. the sum is less than 7
Final answer:
The probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12. There are 15 possible outcomes where the sum is less than 7 out of 36 total outcomes.
Explanation:
The question asks for the probability that the sum of the numbers shown by rolling a six-sided die twice is less than 7. To find this probability, we need to consider all the possible outcomes of rolling two dice.
Each die has 6 faces, so when you roll two dice, there are a total of 6 x 6 = 36 possible outcomes. To get the sum less than 7, we can have the following combinations:
(1,1) Sum = 2
(1,2) Sum = 3
(2,1) Sum = 3
(1,3) Sum = 4
(2,2) Sum = 4
(3,1) Sum = 4
(1,4) Sum = 5
(2,3) Sum = 5
(3,2) Sum = 5
(4,1) Sum = 5
(1,5) Sum = 6
(2,4) Sum = 6
(3,3) Sum = 6
(4,2) Sum = 6
(5,1) Sum = 6
Adding up the number of outcomes, there are 15 possibilities where the sum is less than 7. Therefore, the probability is 15 out of 36. This simplifies to 5/12 when reduced to its simplest form.
So, the probability of getting a sum less than 7 when rolling a six-sided die twice is 5/12.
True or False ? explain your answer
18.csc^{-1} (csc(-\frac{\pi}{4} )) = -\frac{\pi}{4}
19.sec(sec^{-1} (\sqrt{3} ))=\sqrt{3}
Need help on this!!!
What is the selling price of an item if the original cost is $784.50 and the mark up on the item is 6.5 percent?
from my calculations it should be $835.49
Answer:
30
Step-by-step explanation:
Danny decided to invest his $500 tax refund rather than spending it. He found a bank that would pay him 4% interest, compounded quarterly. If he deposits the entire $500 and does not deposit or withdraw any other amount, how long will it take him to double his money in the account? Round your answer to the nearest tenth of a year. It will take Answer years for his investment to double.
Anyone know the answer?
What is the domain of the function
Which is the graph of the inequality?
5y + x > -10?
Answer:
This one is Right...
Step-by-step explanation:
Your test scores in one class are 82 and 88. What possible scores can you earn on your next test to have a test average between 85 and 90, inclusive?
To have a test average between 85 and 90, inclusive, the scores on the next test should be greater than or equal to 85 and less than or equal to 100.
Explanation:To have a test average between 85 and 90, inclusive, you need to find the possible scores on your next test. Let's assume the score on the next test is x. Then, the average of all three tests can be calculated as (82 + 88 + x) / 3. Now, we can set up an inequality to find the possible values of x:
(82 + 88 + x) / 3 ≥ 85 and (82 + 88 + x) / 3 ≤ 90
Simplifying each inequality, we get:
170 + x ≥ 255 and 170 + x ≤ 270
Subtracting 170 from both sides, we have:
x ≥ 85 and x ≤ 100
Therefore, the possible scores you can earn on your next test to have a test average between 85 and 90, inclusive, are any scores greater than or equal to 85 and less than or equal to 100.
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If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)
The question is
if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)
We use the synthetic division to find the remainder,
x-5=0
x=5
Now, write the coefficients of polynomial.
5 | 2 0 -3 5
| ↓ 10 50 235
-------------------------------
2 10 47 | 240→ is the remainder.
Quotient= 2x²+10x+47
Remainder= 240
The remainder of [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is
Explanation:
If division of a polynomial by a binomial result in a remainder of zero means that the binomial is a factor of polynomial.
The polynomial is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and [tex]\left( {x - 5} \right).[/tex]
The numerator of the division is [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] and the denominator is
Solve the given polynomial [tex]P\left( x \right) = 2{x^3} - 3x + 5[/tex] by the use of synthetic division.
Now obtain the value of [tex]x[/tex] from the denominator.
[tex]\begin{aligned}x - 5 &= 0\\x&= 5\\\end{aligned}[/tex]
Divide the coefficients of the polynomial by [tex]5.[/tex]
[tex]\begin{aligned}5\left| \!{\nderline {\,{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\,\,\,\,\,\,\,\,\,\,\,\,\, - 3\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5} \,}} \right. \hfill\\\,\,\,\,\underline{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,235}\hfill\\\,\,\,\,\,2\,\,\,\,\,\,\,\,\,\,\,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,47\,\,\,\,\,\,\,\,\,\,\,\,\,\,240\hfill\\\end{aligned}[/tex]
The last entry of the synthetic division tells us about remainder and the last entry of the synthetic division is [tex]240[/tex].Therefore, the remainder of the synthetic division is [tex]240.[/tex]
The remainder of [tex]p\left( x \right) = 2{x^3} - 3x + 5[/tex] divided by [tex]\left( {x - 5}\right)[/tex] is [tex]\boxed{240}.[/tex]
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1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Synthetic Division
Keywords: division, binomial synthetic division, long division method, coefficients, quotients, remainders, numerator, denominator, polynomial, zeros, degree.
Use logarithms to solve each equation 2x9/8=111
A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
Answer:
Difference in cash and plan = $155 - $149.50 = $5.50
Interest Rate = 3.68%
Step-by-step explanation:
Given:A food processor for $149.50 cash, or $5.00 down and $10.00 per month for 15 months
A food processor by cash = $149.50
Payment plan = Down payment + $10*15 months
= $5 + $10*15
= $5 + $150
Payment plan = $155
Difference in cash and plan = $155 - $149.50 = $5.50
Now we have to find the interest rate
= (difference/original)*100
= (5.50/149.50)*100
Interest Rate = 3.68%
Answer:
Step-by-step explanation:
Which expression is equivalent to 17s-10+3(2s+1)?
A.23s-9
B.23s-7
C.11s-7
D.11s-9
What is the equation of a parabola with a focus (-2,4) and directrix y = 0?
The equation of the parabola with focus (-2,4) and directrix y = 0 is (x + 2) = 8(y - 2). This is derived by finding the vertex and applying the general equation for a vertically oriented parabola.
To find the equation of a parabola with a given focus and directrix, we use the definition that a parabola is the set of all points that are equidistant from the focus and the directrix. In this case, the focus is at (-2,4) and the directrix is y = 0. The vertex of the parabola will thus be halfway between the focus and the directrix, which means it will lie on the line y = 2 (since the focus has a y-coordinate of 4 and the directrix is at y = 0).
The standard form equation of a vertically oriented parabola with its vertex at the origin is x = 4py, where p is the distance from the vertex to the focus (or to the directrix). For a parabola that is shifted to have a vertex not at the origin, the equation is (x-h)² = 4p(y-k) where (h,k) is the vertex.
In this scenario, because the vertex is not at the origin and the parabola opens upwards (since the directrix is below the focus), we'll adjust the standard form equation to take these factors into account. The vertex (h,k) is (-2,2), the focus is (-2,4), thus p = 2. Therefore, the equation is (x + 2)² = 4*2*(y - 2)
Tony makes an hourly salary of 15.40 for 40 Regular hours of work. For any time work beyond 40 hours, he is paid at a rate of time and a half per hour. Last week, Tony worked 46 hours. Find each of the following for this period.
Tony's total earnings for the week are $754.60, which includes his regular pay for 40 hours at an hourly rate of $15.40 and overtime pay for 6 extra hours at a rate of time and a half.
Explanation:The subject of this question is Mathematics, specifically, it involves calculations relating to wage and overtime pay.
Calculating Regular and Overtime Pay
Tony earns an hourly wage of $15.40 for regular hours and is paid at a time and a half rate for any hours worked beyond 40 hours. Since he worked 46 hours last week, we can calculate his earnings as follows:
Calculate regular pay for 40 hours: 40 hours × $15.40 = $616.00.
Calculate the overtime pay rate: $15.40 × 1.5 = $23.10 per hour.
Calculate overtime pay for 6 hours: 6 hours × $23.10 = $138.60.
Add regular pay and overtime pay to get total earnings: $616.00 + $138.60 = $754.60.
Therefore, Tony's total earnings for the week, including overtime, are $754.60.
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual. what is the value for the sum of the squared residuals
The value for the sum of the squared residuals is SS(residuals) = (1 - r²) SS(y).
What is meant by Residual Value?Residual value is defined as the difference of the value that we predicts with that of the observed value.
Given that,
The distance between the y value in the data and the y value predicted from the regression equation is known as the residual.
Sum of the squared residuals is used to measure the variance level in a regression model.
We know that,
r² = 1 - [SS(residuals) / SS(total)]
[SS(residuals) / SS(total)] = 1 - r²
SS(residuals) = (1 - r²) SS(total)
SS(residuals) = (1 - r²) SS(y)
Hence the value is SS(residuals) = (1 - r²) SS(y).
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Find a polynomial with integer coefficients that satisfies the given conditions degree 3 with roots 9 2 and 0
Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use the pow function. submit
2. Find the area of the regular polygon. Give the answer to the nearest tenth. Hexagon with a radius of 5 in.
A. 65.0 in.^2
B. 129.9 in.^2
C. 259.8^2
D. 53.0^2
3. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35°. To the nearest hundredth, find the search area.
A. 2.08 mi.^2
B. 2.97 mi.^2
C. 1.49 mi.^2
D. 1.04 mi.^2
Answer: The correct options are (2). A, (3). A.
Step-by-step explanation: The calculations are as follows:
(1) We are to given the area of a regular hexagon with radius 5 in.
The AREA of a regular hexagon with side 'a' units is given by
[tex]A=\dfrac{3\sqrt3}{2}a^2.[/tex]
We know that the radius of a regular hexagon is equal to the length of each side, so we have
a = 5 in.
Therefore, the area of the hexagon will be
[tex]A=\dfrac{3\sqrt3}{2}\times 5^2=1.5\times 1.732\times 25=64.95\sim 65~\textup{in}^2.[/tex]
Thus, (A) is the correct option.
(2) Given that two adjacent sides of the triangle measure 1.32 miles and 2.75 miles.
The angle lying between the two sides measure 35°.
we are to find the area of the triangle.
We know that the area of a triangle with two adjacent sides of measure 'a' and 'b' units and 'β' be the measure of the angle lying between them is given by
[tex]A=\dfrac{1}{2}ab\sin \beta.[/tex]
Here, a = 2.75 miles, b = 1.32 miles and β = 35°.
Therefore, the total search area, in the form of triangle is given by
[tex]A=\dfrac{1}{2}\times 2.75\times 1.32\times \sin 35^\circ=1.815\times 0.5735=2.08~\textup{mi}^2.[/tex]
Thus, the correct option is (A) 2.08 mi².
Hence, the correct options are (2). A, (3). A.
In ΔMNP, what is the measure of < N?
20 degrees
46 degrees
64 degrees
76 degrees
Answer:
76
Step-by-step explanation:
You toss a coin 15 times. P(Heads) = 2/5. (1 point)
A• experimental; the result is found by repeating an experiment. ****
B• experimental; the result is based on the number of possible outcomes.
C• theoretical; the result is found by repeating an experiment.
D• theoretical; the result is based on the number of possible outcomes .
I think it's A...
Tell me if I'm wrong.
Experimental Probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
Theoretical probability is equal to the number of favorable outcomes divided by the total number of possible outcomes.
In your case, when tossing a coin 15 times, you get the Pr(Heads)=2/5, this probability is experimental and the result is found by repeating an experiment.
Answer: correct option A.
A ________________ event has a 100% chance of occurring. Example: Picking a red ball from a bag of only red balls.
We have been given that probability of the even is 100%. In other words we can say that the probability is 1. It means that the event will certainly occur.
Now, we know that the highest value of probability is 1 and lower value is 0.
Mathematically, we can represents it as
[tex]0\leq P(E)\leq 1[/tex]
If the probability is 0 then the event will never occur.
And if the probability is 1 then event will definitely occur.
Therefore, A certain event has a 100% chance of occurring.
what expression is equivalent to \root(4)(x^(10))
The equivalent expression to \(\root(4)(x^{10})\) is \(x^{\frac{5}{2}}\), which is obtained by realizing that the fourth root of a number can be expressed as raising that number to the 1/4 power and then applying exponent multiplication.
Explanation:To find an expression equivalent to \(\root(4)(x^{10})\), we need to apply the laws of exponents for roots and powers. The fourth root of a number is the same as raising that number to the 1/4 power, and we know from the properties of exponents that when we raise a power to another power, we multiply the exponents. Therefore:
\(\root(4)(x^{10}) = x^{\frac{10}{4}} = x^{\frac{5}{2}}\)
Thus, the equivalent expression is \(x^{\frac{5}{2}}\).
Which expression is equivalent to (x2 – 3x)(4x2 + 2x – 9)?
A. x2(4x2 + 2x – 9) – 3x
B. x2(4x2 + 2x – 9) – 3x(4x2 + 2x – 9)
C. x2(4x2 + 2x – 9) + 3x(4x2 + 2x – 9)
D. x2(4x2 + 2x) – 3x(2x – 9)
Answer:
B. [tex]x^2(4x^2 + 2x -9) -3x(4x^2 + 2x - 9)[/tex]
Step-by-step explanation:
The distributivity establish that in order to multiply these two polynomials, first you have to multiply [tex]x^2[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] and then multiply [tex]-3x[/tex] by every element in [tex]4x^2 + 2x - 9[/tex] as well.
That is exactly what the option B. says, since
in the expresion [tex]x^2(4x^2 + 2x - 9) - 3x(4x^2 + 2x - 9)[/tex] [tex]x^2[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex] and also [tex]-3x[/tex] is being multiplied by every element in [tex](4x^2 + 2x - 9)[/tex].
Use the distance formula to find the distance between (−8, 2.5) and (0, −4.5). 1. Substitute coordinates: 2. Simplify parentheses: 3. Evaluate powers: 4. Simplify. What is the distance between (–8, 2.5) and (0, –4.5)? Round to the nearest hundredth. d ≈
We have to use the distance formula to find the distance between (−8, 2.5) and (0, −4.5).
The distance formula states:
" For the given points [tex] A(x_{1},y_{1}) [/tex] and[tex] B(x_{2},y_{2}) [/tex], the distance between A and B is given as:
AB = [tex] \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} [/tex]
We have to find distance between (−8, 2.5) and (0, −4.5). So, [tex] x_{1}= -8, y_{1}= 2.5 , x_{2}=0 , y_{2}=-4.5 [/tex]
AB = [tex] \sqrt{(0+8)^{2}+(-4.5-2.5)^{2}} [/tex]
AB = [tex] \sqrt{64+49} [/tex]
AB = [tex] \sqrt{113} [/tex]
AB = 10.630 units
By rounding to the nearest hundredth, we get
Distance between A and B = 10.63 units.
A surveying instrument aimed at a location can “shoot” the distance to the location, giving the surveyor a measurement. A surveyor used such an instrument to record the distance to a point on a tree 60 m from his position. After rotating his surveying instrument 57° to the left, he measured the distance from his same position to a fence post 35 m away.
a.) Draw the diagram and label the tree as point T, the surveyor as point S, and the fence post as point F.
b.) Determine the distance between the point on the tree and the fence post. (Show
the appropriate formula, substitutions, and work. Give the distance to the nearest tenth of
a meter.)
c.) Use the Law of Sines to find the measure of T. (Show the appropriate formula, substitutions, and work. Give the measure of T to the nearest degree.)
d.) Find mF
Please Help Me :(
As the weight of purchased items increases, the shipping charges increase, as shown in the table below. Weight, in oz Total Shipping Cost not more than 5 $9.50 more than 5, not more than 10 $13.25 more than 10, not more than 15 $17.00 more than 15, not more than 20 $20.75 Assuming only positive domain values, which statement is true of the graph that represents the data in the table? Beginning at 5 ounces, the graph is discontinuous at every fifth integer of the domain. The range values graphed for the set of data are $10, $14, $17, and $21. For every 1 ounce increase in weight, the total shipping cost increases by $3.75. The left side of each horizontal interval is a closed circle, and the right side is an open circle.
If the area of a circle below is 18ft, what is the area of the shaded sector?
Answer: It’s definitely 4.5, so D! Hope this helps someone! :>