The required value of P would be 64 for the given linear relationship.
What is the linear relationship?A linear relationship is a connection that takes the shape of a straight line on a graph between two distinct variables - x and y. When displaying a linear connection using an equation, the value of y is derived from the value of x, indicating their relationship.
Given that P varies inversely with the square of Q
P = k/Q²
As per the question, if Q is 8 and P is 9,
So 9 = k/8²
⇒ 9 = k/64
Apply cross-multiplication operation,
⇒ k = 576
If Q is 3, then
⇒ P = 576/3²
⇒ P = 576/9
Apply division operation, and we get
⇒ P = 64
Thus, the required value of P would be 64.
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help me please i’ll rate brainliest
Answer:
- 1.568
Step-by-step explanation:
Let's assume that the base of the given logarithm is 10.
log m = 0.345 ⇒ [tex]10^{0.345}[/tex] = m
log n = 1.223 ⇒ [tex]10^{1.223}[/tex] = n
mn = [tex]10^{0.345}[/tex] × [tex]10^{1.223}[/tex] = [tex]10^{1.568}[/tex]
[tex]\frac{1}{mn}[/tex] = [tex]10^{-1.568}[/tex]
log [tex]10^{-1.568}[/tex] = - 1.568 × log 10 = - 1.568
use n for " a number " three increased by the quotient of a number and two
Answer:
[tex]3+\dfrac{n}{2}[/tex]
Step-by-step explanation:
Let the number is n.
ATQ,
The quotient of a number and two means n/2
Something is increased means plus.
It means,
The required expression is : [tex]3+\dfrac{n}{2}[/tex]. Hence, this is the required solution.
Select the correct answer. The square of z varies inversely as the square root of e. If z=36 when w=16, what is the value of z when w=81?
a. 54
b. 24
c. 182 1/4
d. 7 1/9
The square of z varies inversely as the square root of e. If z=36 when w=16, then value of z is 24 when w=81.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The square of z varies inversely as the square root of e.
If z=36 when w=16
The value of z when w is 81 we need to find
z²=k/√e
where k is a proportionality constant
36²=k/√16
36²=k/4
Apply cross multiplication
1296(4)=k
5184=k
Now let us find when k is 5184 and w is 81
z²=5184/9
z²=576
Take square root on both sides
z=24
Hence, the value of z is 24 when w is 81.
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A function is defined by the equation f(x) = 2x – 5.
1. What is f(0)?
2. What is f())?
3. What is f(100)?
4. What is a when f(x)=9
Answer:
1.f(0)=-5
3.f(100)=195
4.f(x)=9;ans.14
The value of the equations are
a) f ( 0 ) = -5
b) f ( 100 ) = 195
c) The value of x when f ( x ) = 9 is x = 7
How do equations work?Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
f ( x ) = 2x - 5 be equation (1)
On simplifying the equation , we get
when x = 0
The equation becomes f (0) = 2 (0) - 5 f (0) = 0 - 5 f (0) = -5 when the value of x = 0 is substituted.
At this point, x Equals 100
In the equation, if we substitute the value of x = 100, we obtain f (100) = 2 (100) - 5 f (100) = 200 - 5 f (100) = 195.
Moreover, if f (x) = 9 9 = 2x – 5
2x = 14 is obtained by adding 5 to both sides of the equation.
We obtain x = 7 by dividing both sides of the equation by 2.
The equations are thus resolved.
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14. The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes. Assume the variable is normally distributed. When a patron arrives at the restaurant for dinner, find the probability that the patron will have to wait the following time
Answer:
Incomplete question, but you use the normal distribution to solve it, with [tex]\mu = 23.5[/tex] and [tex]\sigma = 3.6[/tex]
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.
This means that [tex]\mu = 23.5, \sigma = 3.6[/tex]
Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 23.5}{3.6}[/tex]
Find the probability that the patron will have to wait:
More than X minutes:
1 subtracted by the p-value of Z
Between A and B minutes:
p-value of Z when X = A subtracted by the p-value of Z when Z = B.
Less than X minutes.
p-value of Z.
Find the area of △DEF with vertices D(−4, −2), E(−1, −8), and F(−7, −8). The AREA of △DEF is ______ square units. *
Answer:
If you plot these points you will see that the base is 6 (distance from E to F, count the squares).
The height will be 6 ( distance from line EF to D, again count the squares).
Using the Area formula you get A = 1/2 (6) (6) = 18
HELPPP MEEEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
it wouldnt let me type the answer-
5. The volume of a rectangular prism is 2058 cm3. The length is three times
the width. The height is twice the width. Find the width, length and height of the prism.
a. L- 18 cm, W-6 cm, H- 12 cm
c. L-20 cm, W-6 cm, H-12 cm
b. L- 21 cm, W- 7 cm, H- 14 cm
d. L- 22 cm, W-8 cm, H- 15 cm
Answer:
c
Step-by-step explanation:
What is the equation of the graph shown above
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.
A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.
Answer=
(Round your answer to 4 decimal places.)
Answer:
A) 0.0359
B) 0.0829
Step-by-step explanation:
A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359
B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829
One side of triangle is 5x-2 another side is 6x+7 and t is the length of third side then what is true about length of t
Answer:
[tex]t = \sqrt{ {(5x - 2) {}^{2} + (6x + 7)}^{2} } [/tex]
100 POINTS
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
answer is <-8/5
and x <-22/12
(a+4)(a-2) please help
Answer:
a²+2a-8
Step-by-step explanation:
Simplify the expression:
7–3p+4p
Answer:
7 + p
Step-by-step explanation:
Solve:
7 - 3p + 4p
Simplify using like terms
Wrote problem using addition
7 + ( -3p + 4p)
7 + 1p or 7 + p
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer and Step-by-step explanation:
The simplified expression is:
7 + p
because we subtract 3p from 4p.
#teamtrees #PAW (Plant And Water)
It is believed that 25% of U.S. homes have a direct satellite television receiver. How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
Answer:
A sample of 801 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
25% of U.S. homes have a direct satellite television receiver.
This means that [tex]\pi = 0.25[/tex]
How large a sample is necessary to estimate the true population of homes which do with 95% confidence and within 3 percentage points?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.25*0.75}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2[/tex]
[tex]n = 800.3[/tex]
Rounding up:
A sample of 801 is needed.
What would this shape be folded?
It would be a rectangular prism
Study the given data set. {77,4,62,10,45,9,38,80,2}. What is the standard deviation of the data?
Answer:
29.7 is the standard deviation :)
Which of the following is a sinusoid? A. y = cos(x) - 2 B. x^2 + y^2 = 1 C. y = 3sqrtx D. x^2/3+y^2/6=1
Answer:
A. y = cos(x) - 2
Step-by-step explanation:
The word "sinusoid" means the graph has a shape of the sine function that smoothly goes up and down.
However, the cosine function also has the same shape but the only thing is that it is horizontally translated. Thus, the cosine function is the sinusoid.
Using the image find the slope of the lineReduce all fractions and enter using a forward slash (i.e. "/). If the slope is undefined, enter "undefined."
Answer:
2
Step-by-step explanation:
find the slope of a line from a graph following those steps
-pick any two points on the graph that belong to the line,
for example (1,1) and (2,3)
-find out how did you get from one point to the other
to get from (1,1) to (2,3) I went 2 up (rise) and 1 to the right (run)
slope= rise /run = 2/1 =2
Few things to keep in mind:
-To find the slope, always move vertical first (y-axis) and than horizontal( x-axis) , because m=change in y/change in x
-For vertical movement, moving up is positive , moving down is negative
For horizontal movement, moving right is positive , moving left is negative
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77
Step-by-step explanation:
Each girl would have to sell at least 77 boxes of cookies to get over 1,000.
1000 boxes divided by 13 girls is 76.9230... but round up to 77.
Check answer by multiplying 13 by 77 and you get 1,001.
:) ur welcome
Answer:
77 boxesStep-by-step explanation:
Let each cell x boxes, then the sum is:
13x ≥ 1000x ≥ 1000/13x ≥ 76.9 ≈ 77A system of linear equations is graphed. Which ordered pair is the best estimate for the solution to the system? (0, −2) (−412, 212) (−4, 212) (0, 7)
Answer:
(0,-2)
Step-by-step explanation:
It would be (0,-2) because that is the only one in the solution range,. Solution range is everything above the intersection that is not outside line.
The solution of graphed equations is (-4, 2 1/2).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
From the graph, we have the following highlights.
The x-coordinate of the point of intersection is close to 4
The y-coordinate of the point of intersection is close to 2 1/2.
So, the coordinates can be estimated to be -4 and 2 1/2
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The diameter of our solar system (depending on how you define “solar system”) is about 8,980,000,000,000 kilometers. The distance from our solar system to the nearest star, Proxima Centauri, is about 39,900,000,000,000,000 kilometers. A light-year is the distance light travels in one year, and it is equal to about 9,460,000,000,000 kilometers. a) Write each of these numbers in scientific notation. Explain how you got your answers, and explain why you know that your method works. b) You’d like to both know the end-to-end distance within the solar system and the distance to Proxima Centauri in light-years. Using your scientific notation numbers, convert these distances. What is the ratio of the solar system’s length to the Proxima Centauri distance? c) Light travels at 300,000 kilometers per second. Write this rate in scientific notation. When Proxima Centauri sends out light at that speed, how long does it take to reach our solar system? Can you convert to minutes, hours, days, or years? Does your answer in years correspond to the distance in light-years from our solar system to Proxima Centauri? Why or why not?
Answer:
Step-by-step explanation:
Place a decimal point to the right of the first real number. write the real number with decimal point
Then count the number of places after the decimal point and this with the power of ten. For example, in diameter of solar system, after keeping decimal after 8, there are 12 places. so power of 10 is 12
a) 8,980,000,000,000 kilo meters. = 8.98 * 10¹² km
39,900,000,000,000,000 kilo meters = 3.99* 10¹⁶ km
9,460,000,000,000 kilo meters = 9.46 * 10¹² km
b)the distance to Proxima Centauri in light-years = 3.99* 10¹⁶ 9.46 * 10¹²
= 0.4218 * 10⁽¹⁶⁻¹²) = 0.4218 * 10⁴
= 4.218 * 10³ light year
c) Speed of light= 3 * 10⁵ km per second
Help! Possess I will give brainiest!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
Since both fractions have a different denominator, we need to look for a common denominator.
[tex]\frac{1}{3}=\frac{3}{9}[/tex] Multiply 3 in both numerator and denominator
[tex]\frac{5}{9} -\frac{3}{9} =\frac{2}{9}[/tex]
Hence, 2/9 is the answer
i need help identifying solutions
Answer:
3,1 I'm pretty sure lol....
Which of the following points would be a solution to the system of inequalities shown below
y>2x+1
y<-3/4x-2
A. (0,1)
B. (-5, -3)
C. (5,-3
Answer:
the answer would be C
Step-by-step explanation:
if you replace y with 5 and x with -3 they should make the equations "solvable"
(easy math question please help) find the value of x question #8
Answer:
X = 2
Step-by-step explanation:
44 + 104 + (18+7x) = 180
Simplify
The measures of the angles in triangle UVW are shown in the diagram below.
Answer:
(B) 39°
Step-by-step explanation:
30° + 24° + (3x -9°) = 180°
3x = 180° - 30° - 24° + 9°
3x = 117°|:3
x = 39°
The difference between two positive numbers is 18.
Answer:
9+9=18
Step-by-step explanation:
as they are positive numbers so by adding it we get 18
A girl work a works a basic week of 40 hours,and her basic rate is 6.25per hour .calculate her basic wage for that week
Answer:
250
Step-by-step explanation:
Basic wage is 40 * 6.25
Answer:
40x6.25=250
Step-by-step explanation:
She makes 6.25 per hour
she works 40 hours
Multiply the two to find how much she made in a week, not a day
someone knows thiss?
