Answer:
Step-by-step expl1 3/4 / 2/5 = 35
8
= 43
8
= 4.375
The square of X varies inversely as the square root of Y and directly as the variable M. When M = 27 and Y = 16, then X = 9. Find the exact value of Y when M = 7 and X = 2
Answer:
[tex]Y = 441[/tex]
Step-by-step explanation:
Given
M = 27 when Y = 16 and X = 9
Required
Find Y when M = 7 and X = 2
We start by getting the algebraic representation of the given statement
[tex]X^2 \alpha \frac{1}{\sqrt Y} \alpha M[/tex]
Convert the variation to an equation; we have
[tex]X^2 = \frac{KM}{\sqrt Y}[/tex]
Where K is the constant of variation;
When M = 27; Y = 16; X = 9, the expression becomes
[tex]9^2 = \frac{K * 27}{\sqrt{16}}[/tex]
This gives
[tex]81 = \frac{k * 27}{4}[/tex]
Make K the subject of formula
[tex]K = \frac{81* 4}{27}[/tex]
[tex]K = \frac{324}{27}[/tex]
[tex]K = 12[/tex]
Solving for Y when M = 7 and X = 2
Recall that [tex]X^2 = \frac{KM}{\sqrt Y}[/tex]
Substitute values for K, M and X
[tex]2^2 = \frac{12 * 7}{\sqrt{Y}}[/tex]
[tex]4 = \frac{84}{\sqrt{Y}}[/tex]
Take square of both sides
[tex]4^2 = (\frac{84}{\sqrt{Y}})^2[/tex]
[tex]16 = \frac{7056}{Y}[/tex]
Make Y the subject of formula
[tex]Y = \frac{7056}{16}[/tex]
[tex]Y = 441[/tex]
On the game show "The Price is Right", the highest winning amount was $262,743. The next largest winning amount was only 81.4012% of the highest. What was the second highest winning amount rounded to the nearest dollar?
Answer:
[tex]Second = \$213876[/tex]
Step-by-step explanation:
Given
Highest Winning = $262,743
Second Highest Winning = 81.4012% of the first
Required
Determine the value of the second highest winning
Recall that
[tex]Second\ Highest\ Winning = 81.4012\%\ of\ the\ first[/tex]
Substitute $262,743 for the first highest winning
[tex]Second = 81.4012\%\ of\ \$262,743[/tex]
[tex]Second = 81.4012\%\ * \$262,743[/tex]
[tex]Second = \$213875.954916[/tex]
Approximate
[tex]Second = \$213876[/tex]
Hence, the second highest winning is approximately $213876
If you averaged 400 miles per day, about how many days would a trip of 1990 miles take?
A. about 6 days
B. about 5 days
c. about 3 days
D. about 4 days
E. about 3 dayS
Answer:
B. about 5 days.
Step-by-step explanation:
If you average;
400 miles per day
1990 miles trip would take?
Cross multiplying gives;
[tex]\frac{1990 * 1}{400}[/tex] = 4.975 days
Rounding off the answer to nearest day gives 5 days.
Hence the 1990 miles journey should take about 5 days.
A trip of 1990 miles would take around 5 days if you averaged 400 miles each day. Option B is correct.
What is average?It is described as the single number that embodies the mean value for the specified collection of data or the closed value for each item in the specified set of data.
It is given that, you averaged 400 miles per day,
We have to find the days would a trip of 1990 miles takes.
The number of days is obtained by taking the ratio of the total distance we have to travel to the distance traveled by the person in one day.
Suppose the number of days needed to complete the trip will be x,
x=Total distance/distance in one day
x=1990 / 400
x= 4.975 days
x≈5 days
If you averaged 400 miles each day, a trip of 1990 miles would take around 5 days.
Thus, option B is correct.
Learn more about the average here:
brainly.com/question/24057012
#SPJ2
2x+5(3x-4)=14
Step by step please
Answer:
x=2
Step-by-step explanation:
2x+5(3x-4)=14
Distribute
2x + 15x -20 = 14
Combine like terms
17x -20 = 14
Add 20 to each side
17x-20+20 =14+20
17x = 34
Divide by 17
17x/17 = 34/17
x=2
a missile is fired with 96% accuracy. Each firing is independent of the other. If four missiles are fired what is the probability only the second one misses
Answer: 0.03538944
Step-by-step explanation:
Given, The accuracy of missile = 96%
i.e. The probability that it will hit the shot = 0.96
Probability of missing the shot = 1-0.96= 0.04
Now, each missile is independent of other.
Therefore, the probability only the second one misses = (probability that first will hit the shot) x (probability that second one misses ) x (probability that third will hit the shot)x (probability that fourth will hit the shot)
Thus, the probability only the second one misses is [tex](0.96)(0.04)(0.96)(0.96)=0.03538944[/tex]
Hence, the required probability = 0.03538944
what is the slope of y=-3
Answer:The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 0 .
Step-by-step explanation:
Answer:
The slope of y=-3 is 0.
y=-3 is a horizontal line.
Let me know if this helps :)
What is 7/8 + 5/6 equal to
Answer:
41/24
Step-by-step explanation:
Answer:
41/24
Step-by-step explanation:
transform the expression
21 + 20/24add the numbers
41/24alternate form
1 17/24, 1.7083Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint.
Answer:
(11, 12)
Step-by-step explanation:
Mid point coordinates:
x = (x₁ + x₂)/2y = (y₁ + y₂)/2Since midpoint and one endpoint given (10, 4) and (9, -4), the other endpoint:
x₂ = 2x - x₁ = 2*10 - 9 = 11y₂ = 2y - y₁ = 2*4 - (-4) = 12So the other endpoint is: (11, 12)
At a country concert, the ratio of the number of boys to the number of
girls is 2:5. If there are 250 girls, how many boys are at the concert?
Answer: There are 100 boys at the concert
Step-by-step explanation:
If the the ratio of boys to girls is 2:5 and and there are 250 girls then a number was multiplied by 5 to get 250 and that number needs to be multiply by 2 to find the number of boys.
So to find that number we will divide 250 by 5.
250/ 5 = 50
50 * 2 = 100
Help me on this please
Answer:
the measure of angle DCF is 75° + 54° = 129°
Find the next number in the number sequence 3, 6, 10, 15.
Answer:
21
Step-by-step explanation:
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
so...
15 + 6 = 21
The Black Panther climbed a height of 15 ft and dropped 20 ft. Write each number as an integer and solve.
Answer:
-5
Step-by-step explanation:
15-20
Answer:
-5
Step-by-step explanation:
15-20=-5
integer means whole number
marissa has $4.40 in quarters and dimes. if she has 5 more quarters than dimes how many of each coin does she have?
Answer:
22
Step-by-step explanation:
Marissa has $4.40 quarter and dimes
she has 5 more quarters than dimes
that means she times
$4.40×5=22
Answer:
Dimes = 9 dimes.
Quarters = 14 quarters.
Step-by-step explanation:
Q = D + 5 (1)
25×Q + 10×D = 440. (2)
From eq(1) substitute the expression for Q into equation (2)
25×(D+5) + 10D = 440
25D + 125 + 10D = 440
35D = 440 - 125
35D = 315
D = 315/35
D = 9
so,
Dimes = 9 dimes.
and,
Quarters = 9+5
= 14 quarters.
Prove:25×Q + 10×D = 440
25×14 + 10×9 = 440
350 + 90 = 440
440 = 440
Proved.
5 to the 4th power times 5 to the 2 power
Answer:
1,250
Step-by-step explanation:
5 to the 4 power is 50,and 5 to the 2 power is 25 and then Multiply them and that should be your answer
Sea level is defined as being at an elevation of O feet. The elevation of land is defined to be its height above or below sea level. The table shows the lowest elevations
in some states. Write the values in order from greatest to least.
Answer:
2,844 ft, 713 ft, 481 ft, 55ft.
Step-by-step explanation:
New Mexico has the highest of the lowest land elevations of the given states, at 2,844 feet. It is followed by Idaho, at 713 feet, which is followed by Nevada, at 481 feet. Arkansas has the lowest land elevation at 55 feet. The elevations in order from highest to lowest are thus 2,844 feet, 713 feet, 481 feet, and 55 feet.
Solve each system of equations by using a table.
y= 3x - 4
y = -2x + 11
Answer:
Step-by-step explanation:
3x - 4 = -2x + 11
5x - 4 = 11
5x = 15
x = 3
3(3) - 4 = 9 - 4 = 5 = y
(3, 5)
Answer:
1.)y=3x-4=5
2.)y=4x-1=7
Find the distance between the pair of points: (-6, 4) and (6,4)
Answer:
12.
Explanation:
Use the distance formula to determine the distance between two points.
Write each fraction in simplest form if the fraction is already in simplest, form write simplifyed 4 over 14
Answer:
2/7 or 2 over 7
Step-by-step explanation:
4/14 can be simplified. We know this because both 4 and 14 can be divided by 2. 4 divided by 2 = 2 and 1 divided by 2 = 7, thus the answer is 2 over 7.
If two lines intersect, then they intersect in exactly one _____ point. line. postulate. plane.
Answer: the answer is A. point
brody is working two summer jobs, making $10 per hour babysitting and making $15 per hour cleaning tables. In a given week, he can work a maximum of 13 total hours and must earn at least $150. If x represents the number of hours babysitting and y represents the number of hours cleaning tables, write and solve a system of inequalities graphically and determine on possible solution.
Answer:
10x+15y≥150
Step-by-step explanation:
Graph y≤13−x (shading down)
graph y≥10− 3/2x (shading up)
A blacksmith has been studying vector calculus and wants to calculate the total mass of a curved metal fitting. Given that the metal fitting has a helix shape parameterized by C:[0,π] → IR3 C(t) = (cos (t), sin(t), t) And the density of the metal material is given by the function:f(x,y,z) = 22 How can the black smith calculate the total mass of the fitting and what is this mass?
Answer:
4483.1
Step-by-step explanation:
Helix shape of the metal fitting parameterized :
C(t) = (cos(t), sin(t), t )
This shows that: x = cos(t), y = sin(t), z = t
density of the metal can be represented as
f (x(t), y(t), z(t) = 2z = 2t
To calculate the mass of the fitting an integral is generated below ( attached below is remaining part of the solution )
You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance
Step-by-step explanation:
Here hope this helps........
8x - 7x + 6 = 6 help you guys pleases
Steps to solve:
8x - 7x + 6 = 6
~Combine like terms
x + 6 = 6
~Subtract 6 to both sides
x = 0
Best of Luck!
Answer:
0
8x0=0 7x0=0
6+0=6
Step-by-step explanation:
Suppose a set of data about the spread (in hundreds of acres) of a food-borne bacteria (after t weeks) in lettuce has the following percentage rates of change: 0.9%, 1.3%, 1.1%, 1.0%, 1.3%, 1.0%; and the following average rates of change: 2.9, 2.4, 3.7, 3.1, 3.6, 3.2. Based only on the information given, and without doing any calculations, what type of model would you use? Why? (NOTE THAT the information given is not the actual data set. I have calculated the two types of rate of change for you. You should NOT BE CALCULATING ANYTHING!) Comment:What tells you that the relation is best fit by a linear model? Use principles about what kinds of functions have consistency in which types of rates of change?
Answer:
A sinusoidal model would be used
The kind of function that have consistency in the periodic rate of change is the Average rate of changes
Step-by-step explanation:
The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )
For percentage rate of changes :
starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%
For Average rate of changes:
starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2
This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions
The kind of function that have consistency in the period rate of change is the Average rate of changes
What is 57 divided by 20
Answer:
2.85
Step-by-step explanation:
Answer: 2.85
Step-by-step explanation:
57/20 = 2.85
Help i dont understand Pls Help :( Given h(x)=-3x-4h(x)=−3x−4, find h(0)h(0).
Answer:
-4
Step-by-step explanation:
So we have the function:
[tex]h(x)=-3x-4[/tex]
To find h(0), substitute 0 for x. Thus:
[tex]h(0)=-3(0)-4[/tex]
Multiply:
[tex]h(0)=0-4[/tex]
Subtract:
[tex]h(0)=-4[/tex]
And we're done!
Please help!!!! This question is on my plato
Answer:
Its D
Step-by-step explanation:
29/1000= 0.029
Answer:
C.
Step-by-step explanation:
29/999 is 0.02929292929292929
HELP PLEASE I WILL MARK YOU BRAINLIEST Jermias buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for one pound. How much does Jeremias spend?*
Answer: $35.75
Step-by-step explanation: 6.5x5.5=35.75
Answer:
the answer is drum rollll
Step-by-step explanation:
7.58
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT
Evaluate the expression given the replacement values
Moving the slider to 9 inches shows that 9 inches is equivalent to 22.86 centimeters. 1 inch is 2.54 times bigger than a centimeter.
The surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell. Express S as a function of r.
Answer:
[tex]S(r)=4\pi r^2[/tex].
Step-by-step explanation:
It is given that, the surface area S of a single-celled organism may be found by multiplying 4π times the square of the radius r of the cell.
We need to express S as a function of r.
Let r be the radius of the cell and S(r) be the surface area of single-celled organism when radius is r.
According to the question,
[tex]S(r)=4\pi \times r^2[/tex]
[tex]S(r)=4\pi r^2[/tex]
Therefore, the required function is [tex]S(r)=4\pi r^2[/tex].