Answer:
the answer is D (39.7, 39.175, 39.17, 3.917)
Step-by-step explanation:
The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
To know more about the symmetry along origin, here
https://brainly.com/question/1413522
#SPJ1
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $160 and first class tickets for $1,120. She used her total budget for airfare for the trip, which was $3,520. How many first class tickets did she buy? How many coach tickets did she buy?
Answer:
c + f = 5
120c + 1140f = 2640
f = 5 - c
120c + 1140(5 - c) = 2640
120c + 5700 - 1140c = 2640
1020c = 3060
c = 3 coach tickets
Step-by-step explanation:
HELP ASAP PLEASE 10 points
A). spinning a spinner that has 5 equal sections marked 1 through 5 and landing on an even number
B). picking a diamond from a standard deck of playing cards which has 13 cards in each of four suits: spades, hearts, diamonds and clubs
(Information for the problem in the photo)
The probability of spinning an even number on the spinner is 40%.
The probability of picking a diamond from a standard deck of playing cards is 25%.
How to calculate the probabilityP(even) = number of even sections / total number of sections
= 2/5
= 0.4
= 40%
Therefore, the probability of spinning an even number on the spinner is 40%.
P(diamond) = number of diamonds / total number of cards
= 13/52
= 1/4
= 0.25
= 25%
Therefore, the probability of picking a diamond from a standard deck of playing cards is 25%.
Learn more about probability on
https://brainly.com/question/24756209
#SPJ1
I need help with my math
Question:
Solution:
Remember that the point-slope is the general form y-y₁=m(x-x₁) for linear equations. Where m is the slope of the line and (x₁, y₁) is any point on the line. In this case, we have that m = 3 and (x₁, y₁) = (0,10). Thus, replacing the given data we can conclude that the point-slope form of a given line is:
\(y\text{ - 10 = 3(x-0)}\)that is:
\(y\text{ - 10 = 3x}\)then, the correct answer is:
\(y\text{ - 10 = 3x}\)Solve the equation. −2=67p
Answer:
p = -2/67
Step-by-step explanation:
We divide 67 on both sides.
-2 / 67 = -2/67
67p / 67 = p
We got p = -2/67
Hope this helps.
dara has 188 baseball cards. she sells 1/4 of them and gives 1/2 of them to her brother. how many cards does she have left?
Systems of Equations1) Create a real-world problem involving a related set of two equations.2) Write the system of equations that would be used to solve them.3) Show how to solve the same system using ALL 3 methods:• Graphing, Substitution, Elimination4) Identify your solution & explain what it means in the context of your word problem!
1) Create a real-world problem involving a related set of two equations
George bought 5 apples and 2 peaches, he pays $22.00. Isabella bought 10 apples and 2 peaches, she pays $32.00. a) How much does an apple cost? b) How much does a peach cost?
2)Write the system of equations that would be used to solve them.
Let x be the cost of an apple
Let y be the cost of a peach
George bought 5 apples and 2 peaches, he pays $22.00:
\(5x+2y=22\)Isabella bought 10 apples and 2 peaches, she pays $32.00:
\(10x+2y=32\)System of equations:
\(\begin{gathered} 5x+2y=22 \\ 10x+2y=32 \end{gathered}\)3) Show how to solve the same system using ALL 3 methods:
• Graphing
Find two points (x,y) for each equation:
-First equation:
\(\begin{gathered} When\text{ }x=0 \\ 5(0)+2y=22 \\ 2y=22 \\ y=\frac{22}{2} \\ y=11 \\ Point(0,11) \\ \\ When\text{ }x=6 \\ 5(6)+2y=22 \\ 30+2y=22 \\ 2y=22-30 \\ 2y=-8 \\ y=-\frac{8}{2} \\ y=-4 \\ Point(6,-4) \end{gathered}\)-Second equation:
\(\begin{gathered} When\text{ }x=0 \\ 10(0)+2y=32 \\ 2y=32 \\ y=\frac{32}{2} \\ y=16 \\ Point(0,16) \\ \\ When\text{ }x=4 \\ 10(4)+2y=32 \\ 40+2y=32 \\ 2y=32-40 \\ 2y=-8 \\ y=-\frac{8}{2} \\ y=-4 \\ Point(4,-4) \end{gathered}\)Use each pair of points to graph the corresponding line: Put the point in the plane and draw a line that passes through the corresponding pair of points:
The solution is the point of intersection (2,6)
• Substitution:
\(\begin{gathered} 5x+2y=22 \\ 10x+2y=32 \end{gathered}\)1. Solve x in the first equation:
\(\begin{gathered} 5x+2y=22 \\ 5x=22-2y \\ x=\frac{22}{5}-\frac{2}{5}y \end{gathered}\)2. Substitute x in the second equation with the value you get in the first step:
\(10(\frac{22}{5}-\frac{2}{5}y)+2y=32\)3. Solve y:
\(\begin{gathered} \frac{220}{5}-\frac{20}{5}y+2y=32 \\ \\ 44-4y+2y=32 \\ \\ 44-2y=32 \\ \\ -2y=32-44 \\ \\ -2y=-12 \\ \\ y=\frac{-12}{-2} \\ \\ y=6 \end{gathered}\)4. Use the value of y to solve x:
\(\begin{gathered} x=\frac{22}{5}-\frac{2y}{5} \\ \\ x=\frac{22}{5}-\frac{2(6)}{5} \\ \\ x=\frac{22}{5}-\frac{12}{5} \\ \\ x=\frac{22-12}{5} \\ \\ x=\frac{10}{5} \\ \\ x=2 \end{gathered}\)The solution is (2,6)
• Elimination:
\(\begin{gathered} 5x+2y=22 \\ 10x+2y=32 \end{gathered}\)1. Subtract the equations:
2. Solve x:
\(\begin{gathered} -5x=-10 \\ x=\frac{-10}{-5} \\ x=2 \end{gathered}\)3. Use the value of x to solve y:
\(\begin{gathered} 5x+2y=22 \\ 5(2)+2y=22 \\ 10+2y=22 \\ 2y=22-10 \\ 2y=12 \\ y=\frac{12}{2} \\ y=6 \end{gathered}\)The solution is (2,6)
4) Identify your solution & explain what it means in the context of your word problem!
The solution is (2,6), x=2, y=6The meaning of the solution is: The cost of an apple is $2.00 and the cost of a peach is $6.00King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
Find out more on the coupon rate at https://brainly.com/question/28528712
#SPJ1
a musician borrows 2200 to buy a trumpet the length of the loan is 3 years and the total simple interest owed will be 792
what is the annual rate of interest written as a percent on the musicains loans for the trumpet
To find the annual rate of interest as a percent on the musician's loan for the trumpet, we can use the simple interest formula:
$$\sf\:I = P \cdot r \cdot t \\$$
Where:
- I is the total interest owed (792 in this case)- P is the principal amount (2200 in this case)- r is the annual interest rate (what we need to find)- t is the length of the loan in years (3 in this case)We can rearrange the formula to solve for r :
$$\sf\:r = \frac{I}{P \cdot t} \\$$
Substituting the given values:
$$\sf\:r = \frac{792}{2200 \cdot 3} \\$$
Now, we can calculate the value of r :
$$\sf\:r = \frac{792}{6600} \\$$
Simplifying the fraction:
$$\sf\:r = 0.12 \\$$
To express this as a percentage, we multiply by 100:
$$\sf\:r = 0.12 \times 100 \\$$
Therefore, the annual rate of interest on the musician's loan for the trumpet is 12%.\(\)
which number when rounded to the nearest hundredth is 37.62
Answer:
Answer: B
Step-by-step explanation:
The number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612 and this can be determined by using the rules of rounding off to the nearest hundredths.
Given :
Number - 37.62
The following steps can be used to round off any number to the nearest hundredth:
Step 1 - In the thousandths place value analyze that digit to round off a decimal.
Step 2 - If the value is 5 or more than 5 in the thousandth place then the digit is increased by 1 which is at the hundredth place and in the thousandth place digit and thereafter becomes zero.
Now, the number given is 37.62. So, by rounding to the nearest hundredths the number becomes 37.612.
Therefore, the correct option is B) 37.612.
For more information, refer to the link given below:
https://brainly.com/question/2096984
What is the equation of the line that passes through
(-5, 0) and (4, 3)?
Answer:
\(y=\frac{1}{3}x+\frac{5}{3}\)
Step-by-step explanation:
The point-slope form of an equation for a line is y = mx + b (m is the slope; b is the y-intercept).
First, find the slope using the two given points.
\(m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}\)
At this stage, you know the slope and need to find the y-intercept. Plug in one of the points (either one) into the equation. Let's use (-5, 0).
\(y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b\)
The equation for the line is \(y=\frac{1}{3}x+\frac{5}{3}\).
You can check for errors by putting in the point you didn't use...
Check to make sure the point (4, 3) satisfies the equation.
\(3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}\) True!
There are 10 people holding an entry into the top 4 spots for the charity giveaway bonanza. How many different ways can the top prizes for first, second, third, and fourth places be awarded?
The number of different ways the top prizes for first, second, third, and fourth places be awarded is 105 ways.
What is a permutation?It is an arrangement of a set of numbers from a total set where the order of the set is relevant.
The formula for permutation is:
\(^nP_r\) = n! / (n-r)!
We have,
Number of people = 10
n = 10
Number of people to be awarded = 4
r = 4
The number of possible ways to arrange for the 4 awardees.
= \(^nP_r\)
= \(^{10}P_4\)
= 10 x 9 x 7
= 5 x 3 x 7
= 105
Thus,
The number of different ways the top prizes for first, second, third, and fourth places be awarded is 105 ways.
Learn more about combination here:
https://brainly.com/question/14355408
#SPJ1
Solve this equation to determine the number of solutions 3(2 + 4) - 2 = 2(2x + 5) - 2 Plsss help its do today and I leave for school in 20 minutes I have one more question after this!
Answer:
duh
Step-by-step explanation:
A tree is 73 inches tall. How tall is it in feet and inches?
Answer:
6 ft 1 inch
Step-by-step explanation:
We know that there are 12 inches in a foot. So we divide 73/12, which gives us 6 remainder 1. So there are 6 ft and 1 inch.
Answer:
6.08 feet
Step-by-step explanation:
converted it on a site and this was it
14/15 + 8/15 + 4/5 please help
Answer:
\(=\frac{34}{15}\)
\(=2\frac{4}{15}\)
Step-by-step explanation:
With unlike denominators find the Least Common Denominator (LCD)
LCD = 15
Multiplying numerators and denominators to get the LCD in all fraction denominators
\(=\frac{14}{15} +\frac{8}{15} +\frac{4*3}{5*3}\)
With like denominators we can operate on just the numerators
\(=\frac{14+8+12}{15}\)
\(=\frac{34}{15}\)
Simplifying the answer
\(=\frac{34}{15} \\=2\frac{4}{15}\)
Ronnie made a scale drawing of a shopping center. A bakery in the shopping center is 7 inches wide in the drawing. The actual bakery is 42 feet wide. What is the scale of the drawing?
Answer:
1:72
Step-by-step explanation:
The scale of a drawing is the ratio of the length in the drawing to the real length.
Drawing length: 7 inches
Real length: 42 ft × 12 in. / ft = 504 in.
Scale:
7 in. to 504 in.
Divide both numbers by 7:
1 in. to 72 in.
Scale: 1:72
for each parallel lines. you are given the measure of one angle
Answer:
The question is not complete
Pythagorean triples are given by these formulas:
(2²-37, 2zy, z²+37²)
The hypotenuse of a right triangle is 29. The lengths of the legs are whole numbers. List your answers in increasing
order.
The lengths of the two legs are
and
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
We have,
The formula given is incorrect.
The correct formula for Pythagorean triples with a given integer z is:
(z² - 1², 2z, z² + 1²)
Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:
z² + 1² = 29²
z² + 1 = 29²
z² = 29² - 1
z² = 840
z = √840
z = 28.98
Since z must be an integer, we can try integer values close to 28.98 to find one that works.
Trying z = 29,
a = z² - 1² = 840 - 1 = 839
b = 2z = 58
c = z² + 1² = 840 + 1 = 841
Therefore,
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
Learn more about the right triangle here:
https://brainly.com/question/14930619
#SPJ1
The local farmer’s market sells a 4-pound basket of pears for $6.00. What is the price per pound?
Answer:
1.50
Step-by-step explanation:
divide 6.00 by 4 and you get 1.5
A textbook store sold a combined total of 232 physics and math textbooks in a week. The number of physics textbooks sold was three times the number of math textbooks sold. How many textbooks of each type were sold?
The number of physics textbook is 174 and maths textbook is 58.
How to calculate the value?Let the number of maths textbook = x
The number of physics textbook = 3x
Therefore, the expression will be:
3x + x = 232
4x = 232
Divide
x = 232/4
x = 58
Physics textbook = 3x = 3 × 58 = 174
Therefore, the number of physics textbook is 174 and maths textbook is 58.
Learn more about expressions on:
brainly.com/question/22048677
#SPJ1
Can someone help me please
A population of bacteria is growing according to the equation p(t)=1950e^0.16t Estimate when the population will exceed 6371.
t= -------------
The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
How to deal with exponential function?To estimate when the population will exceed 6371, we can set up the inequality:
p(t) > 6371
where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)
Substituting the expression for p(t) into the inequality, we get:
\(1950e^{0.16t} > 6371\)
Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:
\(e^{0.16t} > 6371 / 1950\)
To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:
\(ln(e^{0.16t} > ln(6371 / 1950)\)
Using the property of logarithms that ln(e^x) = x, we get:
\(0.16t > ln(6371 / 1950)\)
Now, we can divide both sides of the inequality by 0.16 to solve for t:
\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)
Simplifying, we get:
\(t > ln(6371 / 1950) / 0.16\)
Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).
So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units
To know more about Exponential function visit:
brainly.com/question/14355665
#SPJ1
A. Function
B. Not a function
Answer:
a
Step-by-step explanation:
hope this helps
Realiza tres ejemplos de probabilidad subjetiva
ojala te sirva
es niño o niña?: La abuela de un bebe que esta por nacer asegura que el futuro bebé será una niña y no un niño, la abuela se basa en los antojos de la madre, la forma del estómago de la madre y otras características que ella ha podido observar durante el embarazo.
te comparto imagenes ok
Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
Learn more about weight here:
https://brainly.com/question/17490356
#SPJ1
student and a professor each choose a number between one and seven what is the probability that the two choose the same number
The probability that the two choose the same number is 1/7
A student and a professor each choose a number between one and seven and we have to determine the probability that the two choose the same number.
We can calculate the total pairs of numbers that the student and the professor choose. It can be calculated as
= 7 x 7 = 49 choices
Now, we can also determine all the pairs of the same numbers. The pairs of the same numbers are (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) and (7, 7).
So, there are 7 pairs with the same numbers.
Probability that the two choose the same number = Number of pairs with same numbers/Total choices
= 7/49
= 1/7
To learn more about probability here:
brainly.com/question/11234923
#SPJ4
Were do i plot 5/4 on a number line
Answer:
in between 3 and 4
Step-by-step explanation:
|-----0------1-------2------3-------5/4-----4----|
in between 3 and 4, you can put nine marks and just find the fifth mark and that is 5/4
hope that makes sense :)
With compound interest, what happens when you start compounding more and more frequently?
a. there is no correlation between compound c. the computed value gets larger
interest and the computed value
b. the computed value stays the same d. the computed value gets smaller
Please select the best answer from the choices provided
A
B
ОООС
Answer:
The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.
Step-by-step explanation:
Answer:
C
the computed value gets larger
Step-by-step explanation:
Find the area of the irregular figure. Round to the nearest hundredth.
Answer:
44.5 units squared
Step-by-step explanation:
First, separate the figure into two different shapes. You should get a rectangle and a triangle after doing this. Next, we'll work on the rectangle. Multiply 2 by 10, and you'll get the area of the rectangle, which would be 20 units squared. We can't multiply 3 by 2, as that would cause the triangle to have 4 sides rather than 3. A triangle can ONLY have 3 sides anyway, so always remember that. Next, we'll work on the triangle. Subtract 10 by 3, and you'll get 7. This will be the triangle's height, so the equation would be 7 X 7 divided by 2, which would be 24.5 units squared. Finally, add 24.5 and 20. You should get 44.5 units squared as your final answer.
So, the final answer for this problem would be 44.5 units squared.
Hope this helped!
250 Juniors at South Central High took the ACT in Spring 2022. The scores were distributed normally with a mean of 27 and a standard deviation of 3.
a) Label the mean and three standard deviations from mean. (4 points)
b) What percentage of scores are between 24 and 30? (3 points)
c) Approximately how many juniors scored between 27 and 30? (3 points)
what is the answer for 4+3x=-56
Answer:
x=-20
Step-by-step explanation:
3x=-56-4
3x=-60
x=-20