Write the equation of the sphere in standard form. 2x2 + 2y2 + 2z2 = 12x − 24z + 1
Use the empirical rule to calculate estimates of tolerance intervals containing 68.26 percent, 95.44 percent, and 99.73 percent of all possible bank customer waiting times. (round your answers to 3 decimal places. negative amounts should be indicated by a minus sign.)
Simplify each expression. use positive exponents. 1. m^3n^–6p^0
A recipe calls for 400 grams of flour. if leena makes one quarter of the recipe, how many kilograms of flour will she need?
at a wedding dance couples have new partners nine times during a five minute song how long does one couple dance together
one couple dances toghether for _ of a minute
Final answer:
To determine how long one couple dances together, divide the total song duration by the number of times partners change plus one. With nine partner changes during a five-minute long song, each couple dances together for 0.5 minutes.
Explanation:
The question involves calculating the amount of time one couple dances together during a wedding dance if couples change partners nine times during a five-minute song. To find the answer, we need to divide the total time of the song by the number of times the partners change.
First, we find out how many times the couples will dance together. If they switch partners nine times, there will be ten different dancing intervals. Next, we divide the total length of the song by the number of intervals:
5 minutes ÷ 10 intervals = 0.5 minutes per interval.
Therefore, one couple dances together for 0.5 of a minute.
You have $27 to spend at the mall and a coupon for $6 off at your favourite store. A t-shirt costs $11 how many tshirts can you buy using your coupon and money
Find the average.
11,16,15,22
A.64
B.15
C.17
D.16
Which percent is represented by the diagram below?
1.25%
12.5%
125%
1250%
Explain why the point (-3,2) is diffrent from the point (2,-3)?
a certain brand of vitamin C contains 300 mg per tablet. A bottle contains 150 vitamins. How many total grams of vitamin C are in the bottle?
The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
we know that
[tex]larger\ volume=original\ volume*(scale\ factor)^{3}[/tex]
and
[tex]larger\ surface\ area=original\ surface\ area*(scale\ factor)^{2}[/tex]
so
Find the scale factor
we know that
[tex](scale\ factor)^{3}=8 \\ scale\ factor=\sqrt[3]{8}=2[/tex]
Find the factor of the surface area increased
[tex](scale\ factor)^{2}=2^{2} =4[/tex]
therefore
the answer is
the surface area increased by a factor of [tex]4[/tex]
The need to cut the plastic by finding the measures of the angles (scale factor) is 4.
We have given,
Marcel is designing a circular necklace that will consist of 4 sections, each with a different color of plastic.
We know that
What is the formula of larger volume?larger volume=original volume×(scaler factor )^3
larger surface area =original surface area× (scaler factor)^2
To find the scale factor
we know that
(scalar factor)^3=8
Taking cube root on both sides
scale factor=2
Find the factor of the surface area increased
(scale factor)^2=2^2=4
Therefore, The surface area increased by a factor of 4.
To learn more about the surface area visit:
brainly.com/question/16519513#SPJ3
3 4/5 as a improper fraction may u pls explain how u get the answer
maggie’s brother is 6 years younger than four times her acne. the sum of their ages is 34. how old is maggie
What is the angle above the x axis (i.e., "north of east") for a vector with components (15 m, 8 m)?
Answer:28.071
Step-by-step explanation:
Given
vector component is (15,8)
i.e. its x component is 15 from origin and y component is 8 m
So angle made by vector with x axis is
[tex]tan\theta =\frac{8}{15}[/tex]
[tex] \theta =tan^{-1}\frac{8}{15} [/tex]
What power can you write to represent the volume of a cube shown? write the power as an expression with a base and an exponent and ,then find the volume of the cube.
Should the quotient of an integer divided by a nonzero integer always be a rational number? Why or Why not?
What is 60000 x 1000?
The solution is, the value is 60000 x 1000 =60000000.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
60000 x 1000
i.e. we have to multiply 60000 with 1000
so, we get,
60000 x 1000
=60000000
Hence, The solution is, the value is 60000 x 1000 =60000000.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ5
Which of the following fractions is closest to the decimal 0.35
What is the quadratic function
Find all the square number that are greater then 20 but less then 50
A school PTA wants to rent a dunking tank for its annual fundraising carnival. The cost is $80 for the first three hours and then $19.75 for each additional hour or part thereof. How long can the tank be rented if up to $200 is budgeted for this expense?
The tank can be rented for maximum of 6 hours.
We have school PTA wants to rent a dunking tank for its annual fundraising carnival. The cost is $80 for the first three hours and then $19.75 for each additional hour or part thereof.
We have to determine how long can the tank be rented if up to $200 is budgeted for this expense.
The critical level for the number of bacteria spread is 1000. Starting from 500, if the bacteria count rises by 5 every second, then determine whether after 30 seconds the critical level is passed or not?Initial count = 500
Count increasing per second = 5
Critical level = 1000
Assume that the bacteria count after t seconds is y. Then -
y = 500 + 5t
for t = 30 ↔ y = 150 + 500 = 650 < 1000 → Critical level not passed.
According to question, we have -
Cost for first three hours = $80
Cost for additional hour = $19.75
Total Budget = $200
Assume that the tank can be bought for 'n' hours. Then -
80 + 19.75n ≤ 200
Solving the inequality -
19.75n + 80 - 80 ≤ 200 - 80
19.75n ≤ 120
n ≤ 6.07
or
n ≤ 6
Hence, the tank can be rented for maximum of 6 hours.
To solve more questions on Inequality modelling, visit the link below -
https://brainly.com/question/12922048
#SPJ2
Expand and simplify:
(x+2)(x+3)
Joelle is working on a school report in a word processor. She wants to place a figure which is 13.09 cm wide so that it appears centered on the page. The width of the page is 21.59 cm.
How much margin should she leave on the left so that the figure is centered?
Do I divide the width by 13.09 to get the answer? Not very sure
Answer:
The answer is 4.25 cm.
Step-by-step explanation:
Given is - Joelle wants to place a figure which is 13.09 cm wide so that it appears centered on the page. The width of the page is 21.59 cm.
To solve, this first we will 13.09 from the 21.59, and then divide that number in half to find the left and right margin.
[tex]21.59-13.09=8.5[/tex]
[tex]\frac{8.5}{2}= 4.25[/tex]
Therefore, the answer is 4.25 cm.
60,488 rounded to the nearest 10,000
Noel Devine bought a new dishwasher for $320. He paid 20 down and made 10 monthly payments of $34 what actual yearly interest rate did Noel pay?
if x equals 3= xequals 4 then use the equation 2x y -6 x equals 18 Z to find the value of y
Draw or write to show that the number 18 is an even number
The number 18 is considered an even number because it can be divided by 2 to result in another integer. This is confirmed by writing 18 as 2 times 9, which results in an even product.
Explanation:In mathematics, an even number is any integer that can be exactly divided by 2 without leaving a remainder. For example, the numbers 2, 4, 6, 8, and 10 are even because each can be divided by 2 to result in another integer. If you divide an even number by 2, the result is always a whole number, and that's not the case with odd numbers. Let us examine the number 18.
If we write 18 as 2 times 9, we see that it has been turned into a product of 2 and another integer (9, in this case). This indicates that 18 is indeed an even number. Therefore, we can be sure of the fact that the number 18 is an even number, because it can be divided by 2 without leaving a remainder.
Learn more about Even Numbers here:https://brainly.com/question/37032385
#SPJ2
Last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnelly practiced the piano for 11 hours. For how many hours did each young man practice the piano?
Which of these indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency?
a.
The bank lists the initials “NA” after its name.
b.
The bank has the word “Federal” in its name.
c.
The bank is qualified to give loans.
d.
The bank is owned by the government.
Which of these indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency?
a. The bank lists the initials “NA” after its name.
The full form of N.A is N stands for national and A stands for Association. This inclusion of initials helps the banks to be distinguished as national and legal.
The bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.
What is the role of the Currency Comptroller?All federal savings organizations, national banks, and federal branches and agencies of foreign banks are chartered, governed, and overseen by the Office of the Comptroller of the Currency (OCC).
The OCC is a stand-alone division of the U.S. Department of the Treasury, and the Comptroller of the Currency is in charge of it.
The OCC makes ensuring that national banks and federal savings organizations run securely, fairly access financial services, treat customers fairly, and adhere to all relevant laws and regulations.
Thus, the bank is qualified to give loans indicates that a bank is likely to be answerable to the Office of the Comptroller of the Currency.Option a is correct.
Learn more about the Currency Comptroller here,
https://brainly.com/question/28129414
#SPJ2
Solve the equation:
(x^4 - x + y)dx - xdy=0