Answer:
k=0.023
Step-by-step explanation:
[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]
The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the variable r is directly proportional to the square of t
Now, r∝t
r=kt
Here, r =144 when t =72
Thus, 144=k×72
k=2
Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ2
Evaluate 3m + p if m = 2 and p = 4.
_________
[tex] \: [/tex]
3m + pm = 2
3m + 4m = 2
(3 + 4)m = 2
7m = 2
m = 2/7
Sarah is making scarves. She has 10 1/2 yards of fabric to make the scarves. If each scarf requires 4 yards of fabric, how many scarves can Sarah make? PLEASE HELP
Answer:
2
Step-by-step explanation:
We know 10 1/2 is basically 10.5 or 21/2
To find the max amount of scarves she can make, simply divide the number of yards she has by 4. This will get you the number of scarves she can create.
[tex]\frac{21/2}{4} = \frac{21}{2} * \frac{1}{4} = 21/8 = 2.625[/tex]
Well.. we don't want to make .625 of a scarf since that would be ridiculous, so we will round it down to 2 since we can't make 3 either.
The max amount of scarves she can make is 2.
What is the coefficient of the first term in this expression?
4r+q3r2+8q2r
Answer:
4
Step-by-step explanation:
can someone please explain
Answer:
y = x-7
Step-by-step explanation:
because its y = x + c
not y = kx
kx means k times x
so x PLUS c is not k TIMES x
[Intergers]
During football game the ball advanced 4yd, retreated 10 yd, and then advanced 2yd. Where did the ball finish in relation to it’s starting point?
Please explain step by step to get marked!
It moved forward 4 yards, then back 10 yards:
4-10 = -6
It is now -6 yards from where it started.
It then moved 2 yards forward from there:
4-6 + 2 = -4
The ball finished -4 yards from the original location.
Realtor Elaine Snyderman took a random sample of 12 homes in a prestigious suburb of
Chicago and found the average appraised market value to be $780,000, and the standard
deviation was $49,000. Test the hypothesis that for all homes in the area, the mean appraised
value is $825,000 against the alternative that it is less than $825,000. Use the 0.05 level of
significance
Using the t-distribution, it is found that since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.
The null hypothesis is:
[tex]H_0: \mu = 825000[/tex]
The alternative hypothesis is:
[tex]H_1: \mu < 825000[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.
[tex]\mu[/tex] is the value tested at the null hypothesis.
s is the standard deviation of the sample.
n is the sample size.
For this problem, the values of the parameters are: [tex]\overline{x} = 780000, \mu = 825000, s = 49000, n = 12[/tex].
The value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{780000 - 825000}{\frac{49000}{\sqrt{12}}}[/tex]
[tex]t = -3.18[/tex]
The p-value of the test is found using a left-tailed test, as we are testing if the mean is less than a value, with t = -3.18 and 12 - 1 = 11 df.
Using a t-distribution calculator, it is of 0.0044.
Since the p-value of the test is of 0.0044 < 0.05, it can be concluded that found the average appraised market value is less than $825,000.
A similar problem is given at https://brainly.com/question/25369247
i didn't mean to choose an answer
Answer:
50
Step-by-step explanation:
Volume of rectangular pyramid=(l*w*h)/3, so 150/3=50
Answer:
V=1/3 * L *W *H
V= 1/3 *5* 3 *10
V=1/3 *150
V= 50 m2
Step-by-step explanation:
your answer
A cylinder has a base radius of 7m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?
Answer:Answer:
2155.1 m^3
Step-by-step explanation:
area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3
A well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.
ـ Don't Spam➠
Step-by-step explanation:
GivenA well with 40 m internal diameter is dug 14 m deep. The soil taken out is spread all around to a width of 20 m to form a circular embankment, find the height of the embankment.[tex]{\qquad{\rule{150pt}{1pt}}}[/tex]
To FindHeight Of Embankment?SolutionExplaination
Attachment
lim2 +lim3 +4+4
1111
Answer:
41,120
Step-by-step explanation:
determine an expression to represent both the perimeter and area of the following 2D shape
Answer: i think its y=2x+22
Step-by-step explanation:
HELPPPP THSI IS THE ONEEE HELP HELP
Answer:
the answer is 9 b 3 1 5 ghhj
Answer:
Step-by-step explanation:
Volume of a cube =side³
[tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]
Find x for brainiest
Answer:
x=36
Step-by-step explanation:
These angles added together equal 180 degrees
2x + 3x =180
5x = 180
x = 36
Answer:
x = 36
Step-by-step explanation:
2x and 3x are supplementary angles they both add up to 180 degree Therefore 2x + 3x = 180 5x = 180 180/5 = x x = 36
simplify the fraction 90/100
Answer:
9/10
Step-by-step explanation:
hope this helps
Answer:
9/10
Step-by-step explanation:
divide top and bottom by 10
What is the solution to the system of equations?
y
+3
X = -2
15
o (-2, 3),
(2)
(-2공
ㅇ(-2, )
0
Answer:
d
Step-by-step explanation:
Fifteen girls left a mixed group of boys and girls. There remained two boys for each girl. After this, 45 boys leave the group, and there were 5 girls for each boy. Determine the number of girls in the
original group.
PLS I NEED HELP FOR THIS!
1. A football team charges $30 per ticket and averages 20,000 people per game. Each
person spends an average of $8 on concessions. For every drop of $1 in price, the
attendance rises by 800 people. What ticket price should the team charge to
maximize total revenue? Calculate the TR max.
2. Find the extrema of f(x)=x^3 - 27x - 6
Question: A Football Team Charges $30 Per Ticket And Averages 20,000 People Per Game. Each Person Spends An Average Of $8 On Concessions. For Every Drop Of $1 In Price, The Attendance Rises By 800 People. What Ticket Price Should The Team Charge To Maximize Total Revenue? Calculate The TR Max.
This problem has been solved!
See the answer
A football team charges $30 per ticket and averages 20,000 people per game. Each person spends an average of $8 on concessions. For every drop of $1 in price, the attendance rises by 800 people. What ticket price should the team charge to maximize total revenue? Calculate the TR max.
$50
PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
Answer: (5,1)
Step-by-step explanation:
Divide both sides of the equation by 3, Eliminate the x's and you should have 6y=6. After solving y to be 1 plug it into one of the equations to find x
For the function: f(x) = 3x^2 +5x – 8, find and simplify
A. f(x) - f(a) divided by x-a
b.f(x +h) - f(x) all divided by h
Answer:
[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]
[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]
answer will be 6x+5
A quality control inspector has drawn a sample of 18 light bulbs from a recent production lot. If the number of defective bulbs is 2 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection? Round your answer to four decimal places.
Answer:
ur a lightbulb head
Step-by-step explanation:
wnjrn jrnvef vjefvj efjvf vf vn fvfv fnv nf vnf vn fnv fn vnf vnf vnf nf nf vnf nf vn fnv nf vnf vnf vnf vnf vnf nv fnv nf vnf vnf vn fnv fnv nf vnv nf vnf vnf vnf vn
What is (- 2g-6)-(g-10)
Answer:
-3g + 4
Step-by-step explanation:
Answer:
Step-by-step explanation
(-2g-6)-\left(g-10\right)
(−2g−6)−(g−10)
what is the simplest from of the ratio 40:16 ?
Answer:
5 : 2
Step-by-step explanation:
40:16
Divide each side by 8
40/8:16/8
5 : 2
Answer:
5 :2
Step-by-step explanation:
40 : 16
= 40/16
= 4*10 / 4*4
= 10/4
= 5*2 / 2*2
=5/2
Plssssssssssssssssss slove I don't know how to solve this
Answer:
I think the second blank is 5 and the third blank is 2.
Input 1: Output 5
Input 5: Output 2
Which is the quotient of 43.5÷3 ?
Which is the quotient of 24.6÷5 ?
1) Quotient of 43.5÷3 :-
→ 14.5
2) Quotient of 24.6÷5 :-
→ 4.92
IMAGE ATTACHED. PLEASE CHECK.
--------------★---------------
Answered by Benjemin ✍️
Plz help I need help
⏩Option (D.)
Write an expression that shows how to multiply 4x362 using place value
Answer:
362x4
This equals 1448
Step-by-step explanation:
Answer:
362
x4
---------
Step-by-step explanation:
because we're using place value we need to line up the numbers, 4 below the 2 and so on.
Solve for x
-(-2 - 5x) +(-2) = 18
X= -90
X= -18/5
X= 18/5
X= 90
Answer:
18/5
Step-by-step explanation:
Hi! Can anyone help please, I have been trying this problem for the past hour and I got slope-intercept equation like this but I don't know what to do y=1/2x+5
The graph of a function g is shown below. Find the following:
g(10)
Answer: 8
Step-by-step explanation:
A really simple way to solve these problems is to think of g(whatever number) as the y coordinate on your graph. Therefore the question is basically asking you if x is 10, what is y. If we find 10 on the x axis, we can count up the y axis until we reach the line. So, the answer is 8
Yes you found it correct as per slope intercect form y=mx+b
Here
y=1/2x+5Slope=m=1/2
Y intercect=5
Now.
for g(10)
The coordinate is (10,8)
So
g(10)=8
(3y^3)^2 without exponents
When raising one power to another power multiply the two powers together:
(3y^3)^2 = 3y^(3 * 2) = 3y^6
Answer: 3y^6
The expression [tex](3y^3)^2[/tex] is simplified by applying the exponent rules and the value is [tex]9y^6[/tex]
Given data:
The expression [tex](3y^3)^2[/tex] can be simplified by applying the exponent rules. To remove the exponents, we multiply the base and raise it to the power of the product of the outer and inner exponents. In this case, the base is [tex]3y^3[/tex], and the exponent is 2.
First, square the numerical coefficient, which is 3, to get [tex]3^2 = 9[/tex]. Next, apply the exponent to the variable term [tex]y^3[/tex] by multiplying the outer exponent (2) with the inner exponent (3), resulting in [tex]y^(3 * 2) = y^6[/tex].
Hence, [tex](3y^3)^2[/tex] simplifies to [tex]9y^6[/tex] . This means that the expression represents the result of squaring the quantity [tex]3y^3[/tex], resulting in 9 times the sixth power of y. It's essential to understand and apply exponent rules to efficiently simplify expressions and evaluate mathematical operations without using exponents directly.
To learn more about exponential form, refer:
https://brainly.com/question/29337692
#SPJ3
