i need help, i already did the first part but i don’t understand the second part.
Answers
a) To convert to radical form, we follow this:
[tex]m^{\frac{a}{b}}=\sqrt[b]{m^{a}}[/tex]So:
[tex]R=73.3m^{\frac{3}{4}}=73.3\sqrt[4]{m^{3}}[/tex]b) The formula we have is for mass in Kilograms, so the first step is to convert the mass stated from lbs to kg.
1 lb -- 0.454 kg
160 lb -- m
[tex]m=0.454\cdot160=72.64\operatorname{kg}[/tex]Now, we can use this value in the formula:
[tex]R=73.3m^{\frac{3}{4}}=73.3\cdot(72.64)^{\frac{3}{4}}=1823.84[/tex]a) To convert to radical form, we follow this:
[tex]m^{\frac{a}{b}}=\sqrt[b]{m^{a}}[/tex]So:
[tex]R=73.3m^{\frac{3}{4}}=73.3\sqrt[4]{m^{3}}[/tex]b) The formula we have is for mass in Kilograms, so the first step is to convert the mass stated from lbs to kg.
1 lb -- 0.454 kg
160 lb -- m
[tex]m=0.454\cdot160=72.64\operatorname{kg}[/tex]Now, we can use this value in the formula:
[tex]R=73.3m^{\frac{3}{4}}=73.3\cdot(72.64)^{\frac{3}{4}}=1823.84[/tex]Related Questions
A medical experiment on tumor growth gives the following data table.
x y
61 48
95 76
97 82
101 95
115 118
The least squares regression line was found. Using technology, it was determined that the total sum of squares (SST) was 2640.8 and the sum of squares of regression (SSR) was 2429.8. Calculate R2, rounded to three decimal places.
Provide your answer below:
Answers
The calculation of the coefficient of determination, or R² rounded to three decimal places is 0.080.
What is the coefficient of determination (R²)?The coefficient of determination, R², is a statistical measurement that determines the proportion of variance in the dependent variable that the independent variable can explain.
In other words, R² shows how well the actual data is approximated by the regression line.
R-Squared (R²) is widely used to predict future outcomes and for hypothesis testing because it provides information about the goodness of fit of the statistical model.
x y
61 48
95 76
97 82
101 95
115 118
The total sum of squares (SST) = 2640.8
The sum of squares of regression (SSR) = 2429.8
R² = 1 - SSR/SST
R² = 1 - 2429.8/2640.8
R² = 1 - 0.92
R² = 0.080
R² = 8%
Thus, with R² = 8%, we can conclude that the y values are only accountable for 8% of the variation in x.
Learn more about the coefficient of determination (R²) at https://brainly.com/question/17237825
#SPJ1
Check off all of the equations that would give infinitely many solution
Answers
All of the equations that would give infinitely many solutions are given as follows:
[tex]\begin{gathered} 1)\text{ 3x + 12 = 3x + 12} \\ 2)\text{ 2\lparen3x - 4\rparen = 6x - 8} \end{gathered}[/tex]Thus the correct answer is option 3 and option 5.
Please help with this
Answers
Answer:
228
Step-by-step explanation:
Top 6x 6 = 36
4 sides 4(6x8)
4(48)
192
192 + 36 = 228
Answer:264
Step-by-step explanation: the surface area is every side added together and you calculate each side by multiplying the width height and length
Real estate prices in a Denver neighborhood areNormally distributed with a mean price of $187,500 and astandard deviation of $12,500.ALDenver Neighborhood Real Estate Pricing
Answers
First, find the z-score of the two values $150,000 and $225,000
[tex]\begin{gathered} \text{z-score for }x_1 \\ z=\frac{x-\mu}{\sigma} \\ z=\frac{150000-187500}{12500} \\ z=\frac{-37500}{12500} \\ z_1=-3 \\ \; \\ \text{z-score for }x_2 \\ z=\frac{x-\mu}{\sigma} \\ z=\frac{225000-187500}{12500} \\ z=\frac{37500}{12500} \\ z_2=3 \end{gathered}[/tex]Since the z-scores are both 3 standard deviations away from the mean, by Emperical rule, we conclude that about 99.7% of the homes will be priced between $150,000 and $225,000.
In a music class of 20 students, there are 12 who play the Guitar (G), 7 who play the Piano (P) and 4 who do not play any of these instruments.1)Represent this situation using a Venn diagram2)What is the probability no randomly selected student plays guitar and piano3)What is the probability that no randomly selected student plays either of these two instruments?4) How likely is it that no randomly selected student plays the piano
Answers
GIVEN:
Total number of students: 20
Number that plays the Guitar: 12
Number that plays the Piano: 7
Number that does not play any of the instruments: 4
Note that included in the number that plays either the guitar and the piano is the number that plays both instruments. Let's call this number x.
Number that play both instruments: To calculate this number, we have to get the number that plays each instrument alone and find the sum equated to the total number of students.
Number that plays the Guitar only: 12 - x
Number that plays the Piano only: 7 - x
Therefore, the total number of students will be:
[tex]\begin{gathered} 12-x+7-x+x+4=20 \\ 23-x=20 \\ \therefore \\ x=23-20 \\ x=3 \end{gathered}[/tex]Hence, there are 3 students that play both instruments.
Therefore, 9 students play the guitar only and 4 students play the piano only.
VENN DIAGRAM:
QUESTION 2:
The formula to calculate the probability of an event E is given to be:
[tex]P(E)=\frac{n(E)}{n(U)}[/tex]where
[tex]\begin{gathered} P(E)=\text{ Probability of event E happening} \\ n(E)=\text{ Number of times event E happened} \\ n(U)=\text{ Number of times all possible events occured} \end{gathered}[/tex]The number of students that play the guitar and piano is 3. This means that the number that does not play the guitar and piano is
[tex]\Rightarrow20-3=17\text{ students}[/tex]Therefore, the probability is given to be:
[tex]P=\frac{17}{20}[/tex]QUESTION 3:
This question requires us to find the probability of students that do not play any of the two instruments. This number is 4.
Therefore, the probability is given to be:
[tex]P=\frac{4}{20}=\frac{1}{5}[/tex]QUESTION 4:
The number of students that play the piano is 7. Hence, the number that doesn't play the piano will be:
[tex]\Rightarrow20-7=13[/tex]Therefore, the probability is:
[tex]P=\frac{13}{20}[/tex]Painter charges $20 every hour that he paints let H represent the number of hours he paints & E represent his earnings select all statements that are trueA. The equation H equals 20 E shows the correct relationship between the earnings and hours worked B. With this hourly rate the painter must work more than 12 hours to earn 500C. With this hourly rate the painter earns 20h dollars for each hour worked.D. With this hourly rate if the painter works 10 hours he earns 20.E. Is the painter raises his hourly rate by two dollars the new equation is e=22h
Answers
Answer:
No.
Yes.
Yes.
No.
Yes...
I need help with my homework pls be fast it’s 11pm for me and I couldn’t do this earlier because of family business
Answers
We have a linear function and we have to find the meaning of the slope.
The function is:
[tex]C=50h+35[/tex]In this function the slope is m=50, as it is the coefficient for h, the number of hours.
The slope usually represents the variation of the result variable (in this case, the cost in dollars) and the independent variable (in this case, h, the number of hours).
Then, we can think of the slope in this model as the marginal hourly rate he charges. This means that any additional hour of work will cost $50 more.
Then, from the options given, the correct one is: the charge per hour [Option D].
A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the
probability of reaching into the bag and selecting a yellow marble?
73.
13
16
26
Answers
Answer:
2/13
Step-by-step explanation:
Out of a total 13 marbles , 2 are yellow 2 out of 13 = 2/13
Answer:
2/13
Step-by-step explanation:
6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble = 13 marbles
P( yellow) = number yellow / total
= 2/13
What is the quotient of 2.592 x 10^7 and 7.2 x 10^4 expressed in scientific notation?
Answers
Answer:
Explanation:
Given the expression:
[tex]\frac{2.592\times10^7}{7.2\times10^4}[/tex]We can rewrite it as:
[tex]\frac{2592\times10^{-3}\times10^7}{72\times10^{-1}\times10^4}[/tex]Combine all powers of 10:
[tex]\begin{gathered} =\frac{2592\times10^{-3+7}}{72\times10^{-1+4}^{}} \\ =\frac{2592\times10^4}{72\times10^3} \\ =\frac{2592}{72^{}}\times\frac{10^4}{10^3} \\ =36\times10 \\ =3.6\times10^1\times10^1 \\ =3.6\times10^{1+1} \\ =3.6\times10^2 \end{gathered}[/tex]The quotient expressed in scientific notation is 3.6 x 10².
a can of juice is 5.5 inches high and its base has a diameter or 6 inches what is the volume of the can? round to the nearest hundredth
Answers
According to the problem, the can of juice has the form of a cylinder, so we have to use the following formula
[tex]V=\pi(r)^2h[/tex]Where the radius is half the diameter, r = 3 in, h = 5.5 in, and pi = 3.14. Replacing these values, we have
[tex]V=3.14\cdot(3in)^2\cdot5.5in=155.43in^3[/tex]Hence, the volume of the can is 155.43 cubic inches.Beginning in 1995,( 1995= 0 years) the Chicago Cubs decreased its ticket price by a constant amount each year until 2016 when they finally won the World Series. A ticket cost $77.50 in 2005, but only $49.50 in 2012. How much did a ticket cost in 2000?
Answers
The cost of the Chicago Cubs ticket in the year 2000 was $97.50.
What is defined as the constant rate of change?A rate of change is defined as the ratio of change in dependent values as well as outputs to change in independent variables or inputs. The change, also known as the function's slope, describes what numbers change between 2 points on the a coordinate plane.For the given question.
The price of the Chicago Cubs ticket in year 2005 is $77.50.
The price of the ticket reduced in year 2012 as $49.50.
There is a constant amount of decrease in the price.
Thus, difference in years;
= 2012 - 2005
= 7 years.
Difference in amount;
= 49.50 - 77.50
= -28
Price decreased in one year = 28/ 7 = -4 per year.
For the price of the ticket in the years 2000.
= 2005 - 2000
= 5 years.
Price decreased in 5 years is;
= -4 x 5
= -20
The price is 2000 is 77.50 + 20 = 97.50
Thus, the cost of the Chicago Cubs ticket in the year 2000 was $97.50.
To know more about the constant rate of change, here
https://brainly.com/question/7326947
#SPJ10
Hello good night everyone I need help with number 6 I’m so lost I’m abt to cry
Answers
We have to add and substract this complex numbers.
In this type of problems, where we have to add or substract complex numbers, we need to have the real and imaginary terms separated.
In this case, we already have all the terms as real or imaginary.
Then, we can group the real terms on one side and the imaginary terms on the other side and simplify them. We can do it like this:
[tex]\begin{gathered} (7-2i)-(-1-4i)+3 \\ 7-2i+1+4i+3 \\ (7+1+3)+(-2i+4i) \\ 11+2i \end{gathered}[/tex]Answer: 11 + 2i
HELP HELP! PLEASE, MY MOM WANT ME TO BE DONE!
Answers
From least to greatest, we have:
2 to 3, 3:4, and 7/8
Explanation:Given the following:
7/8, 2 to 3, and 3:4
The least is 2 to 3, followed by 3:4, then 7/8
The diagram has a hollow cylindrical tube, of internal radius 4cm and external radius 6cm. How can I determine the area of an external curved surface, how can I get the area of the inner curved surface and how can I get the total surface area of the tube?
Answers
Given:
internal radius = 4cm
External radius = 6cm
Height = 20cm
Curved surface area of the external surface
The formula for the curved surface is:
[tex]\begin{gathered} =2\pi rh \\ \text{Where r is a radius} \\ \text{and h is the height of the cylinder} \end{gathered}[/tex]Hence, the curved surface area:
[tex]\begin{gathered} C\mathrm{}S\mathrm{}A\text{ of external surface = 2}\times\pi\times6\times20 \\ =753.982cm^2 \end{gathered}[/tex]Curved surface area of the inner surface:
[tex]\begin{gathered} C\mathrm{}S\mathrm{}A\text{ of inner surface = 2 }\times\pi\times4\times\text{ 20} \\ =502.654cm^2 \end{gathered}[/tex]The total surface area of the tube :
The total surface area can be found using the formula:
[tex]\text{Total Surface area = }2\pi(R^2-r^2)\text{ + }2\pi h(R\text{ + r)}[/tex]Where R is the radius of the external surface and r is the radius of the inner surface
Hence:
[tex]\begin{gathered} \text{Total Surface area = 2}\times\pi\times(6^2-4^2)\text{ + 2}\times\pi\times20\times(6\text{ + 4)} \\ =\text{ }1382.3cm^2 \end{gathered}[/tex]Chen is opening a new account with a $1,200 deposit. She will be keeping money in the account, compounded monthly for no more than 3 years. the formula gives the value, V, of the account as a function of time, t. Which is a reasonable domain of this function?V(t)= 1,200(1 + 0.02)^t/12A) 0< or equal to t < or equal to 36B) 0C) 0 < or equal to t < or equal to 1,273.45D) 1,200 < or equal to t < or equal to 1,273.45
Answers
The Solution:
Given the function:
[tex]V(t)=1200(1+0.02)^{\frac{t}{12}}[/tex]We are required to find a reasonable domain for the given function.
The domain of the function V(t) is the range of values for t.
The question says Chen is will continue to keep money in the account for not more than 3 years, but the interest will be compound monthly.
Recall:
1 year = 12 months
So,
3 years will be
[tex]12\times3=36\text{ months}[/tex]This means that the range of values for t is:
[tex]0\leq t\leq36[/tex]Therefore, the correct answer is [option A]
INT. ALGEBRA: You have a coupon for $20 off the purchase of a calculator. At the same time, the calculator is offered with a discount of 20%, and no further discounts apply. For what price on the calculator do you pay the same amount for each discount?
Thank you for your help, and please do show work! I will be looking to give the Brainliest answer to someone!
Answers
Write a quadratic equationwith vertex (3,-6) and otherpoint (-7,14). Solve for a!
Answers
We have to find the parameter a of a quadratic equation knowing the following
• The vertex is (3,-6).
,• A random point is (-7,14).
Based on the given information, we have the following
[tex]\begin{gathered} h=3 \\ k=-6 \\ x=-7 \\ y=14 \end{gathered}[/tex]The vertex form of a quadratic equation is
[tex]y=a(x-h)^2+k[/tex]Replacing all the givens, we have
[tex]14=a(-7-3)^2-6[/tex]Now, we solve for a
[tex]\begin{gathered} 14=a(-10)^2-6 \\ 14=a(100)-6 \\ 14+6=100a \\ 100a=20 \\ a=\frac{20}{100}=\frac{1}{5} \end{gathered}[/tex]Therefore, a is equal to 1/5.which question is best modeled with a division expression?
how many 3/8's are in 48
what is 3/8 of 48
what is the total of 3/8 and 48
how much more than 3/8 is 48
Answers
The question that can be best modeled as a division expression is how many 3/8's are in 48.
What is division?Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. The other mathematical operations are addition, multiplication and division.
In order to determine the 3/8's in 48, divide 48 by 3/8.
In order to determine 3/8 of 48, multiply 48 by 3/8.
In order to determine the total of 3/8 and 48, add the numbers together.
In order to determine how much more than 3/8 is 48, subtract 3/8 from 48.
To learn more about division, please check: https://brainly.com/question/13281206
#SPJ1
in a hurry! have to finish the practice test in 30mins, so I can take the real one!(CHECKING AWNSERS, SO ONLY NEED AWNSERS TO I CAN COMPARE)
Answers
The expression can be simplified as,
[tex]\begin{gathered} \frac{3}{x+2}+\frac{2}{x-3}=\frac{3(x-3)+2(x+2)}{(x-3)(x+2)} \\ =\frac{3x-9+2x+4}{(x-3)(x+2)} \\ =\frac{5x-5}{(x-3)(x+2)} \end{gathered}[/tex]Thus, option (D) is the correct option.
The perimeter of a rectangle is 36 cm and the length is twice the width. What are the dimensions of this rectangle? What’s the length and width?
Answers
Perimeter = 2x + 2x + x + x = 6x. 6x = 36, so x = 6. The rectangle is 6*12, so area = 72 sq cm.
Company operates stores under multiple banners in 13 states in the United States
Answers
Given:
Banners in 13 states in united states:
Total states in united state is 50.
(A)
Do not have store is:
[tex]\begin{gathered} =50-13 \\ =37 \end{gathered}[/tex]So in 37 states Company not operates any store.
(B)
Fraction do not have a store operates :
[tex]\begin{gathered} =\frac{37}{50} \\ =0.75 \end{gathered}[/tex]Car Survey In a survey of 3,100 people who owned a certain type of car, 1,550 said they would buy that type of car again.
What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
(Type a whole number.)
Answers
The percentage of people satisfied with car is 50.
What is percentage?
A number or ratio which can be expressed as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of something, we mean that it is 50% of everything. As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any subject have been calculated in terms of percentages in academics. Ram, for instance, scored 78% on his exam.
To find the percentage We divide 1550 by 3100 and then multiply by 100
We get
[tex]\frac{1550}{3100}*100\\=50[/tex]
Hence the percentage of people satisfied with the car is 50%
To learn more about percentage please refer
https://brainly.com/question/24304697
#SPJ13
Consider the following data. The expected value is -2.1.Find the variance, standard deviation, P(X ≥ -1), and P(X ≤ -3).
Answers
Given
The data,
To find:
The variance, standard deviation, P(X ≥ -1), and P(X ≤ -3).
Explanation:
It is given that,
Then,
The variance is,
[tex]\begin{gathered} Var[x]=(-4-(-2.1))^2\times0.2+(-3-(-2.1))^2\times0.3+(-2-(-2.1))^2 \\ \times0.1+(-1-(-2.1))^2\times0.2+(0-(-2.1))^2\times0.2 \\ =(-4+2.1)^2\times0.2+(-3+2.1)^2\times0.3+(-2+2.1)^2\times0.1+(-1+2.1)^2 \\ \times0.2+(2.1)^2\times0.2 \\ =3.61\times0.2+0.81\times0.3+0.01\times0.1+1.21\times0.2+4.41\times0.2 \\ =0.722+0.243+0.001+0.242+0.882 \\ =2.09 \end{gathered}[/tex]And the standard deviation is,
[tex]\begin{gathered} SD=\sqrt{Var[x]} \\ =\sqrt{2.09} \\ =1.45 \end{gathered}[/tex]Also,
[tex]\begin{gathered} P\left(X≥-1\right)=P(X=-1)+P(X=0) \\ =0.2+0.2 \\ =0.4 \\ P\left(X≤-3\right)=P(-4)+P(-3) \\ =0.2+0.3 \\ =0.5 \end{gathered}[/tex]Hence, the answers are,
Variance is 2.09
Standard deviation is 1.45
P(X ≥ -1) is 0.4
P(X ≤ -3) is 0.5.
Yea I can see if it works if it’s okay
Answers
SOLUTION
We want to find the derivative of
[tex]y=sin(1.2t-3.7)[/tex](a) So, using chain rule, the inside function is u,
we have the inside:
[tex]u=1.2t-3.7[/tex]outside becomes
[tex]y=sin(u)[/tex](b) The derivative of
inside, we have
[tex]\frac{du}{dt}=1.2[/tex]derivative of the outside, we have
[tex]\frac{dy}{du}=cos(u)[/tex]chain rule we have
[tex]\begin{gathered} \frac{dy}{dt}=\frac{dy}{du}\times\frac{du}{dt} \\ =cos(u)\times1.2 \\ =cos(1.2t-3.7)\times1.2 \end{gathered}[/tex]Hence the answer is
[tex]\frac{dy}{dt}=1.2cos(1.2t-3.7)[/tex]3.615 x 4 regrouping
Answers
if you could please answer quickly my brainly app keeps crashing
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
diagram:
circle and chords
Step 02:
congruent chords:
Congruent chords are equidistant from the center of a circle.
x = 7 + 7
x = 14
The answer is:
x = 14
Evaluation the expression -19-9-(11)
Answers
Then the final answer will be -17.
For each value of v, determine whether it is a solution to -96= -8(v +7)
Answers
Everything else is no
Simplify the given expression into the form a+bi, where a and b are rational numbers?
Answers
Given:
2(-36- 3i )+ (5+2i)(12-2i)
Open the parenthesis
2(-36- 3i) + 5( 12 - 2i) + 2i ( 12 - 2i)
- 72 - 6i + 60 - 10i + 24i + 4 ( Note: i² = -1)
Re-arrange
-72+60 + 4 - 6i - 10i + 24i
= -8 + 8i
Geometry ? What is the coordinate of G if triangle E’F’G’ is created by dilating EFG with a scale factor of 4 about the origin
Answers
In order to dilate the figure around the origin by a scale of 4, we need to multiply the coordinates of each point by 4. This is done below:
[tex]\begin{gathered} F^{\prime}=(4\cdot-1,4\cdot2)=(-4,8) \\ G^{\prime}=(4\cdot2,4\cdot-2)=(8,-8) \\ E^{\prime}^{}=(4\cdot-2,,4\cdot0)=(-8,0) \end{gathered}[/tex]The coordinates are: F'(-4, 8), G'(8,-8) and E'(-8,0).