Answer:
No, Nadia is incorrect. She could multiply both the numerator and denominator of the unit fraction equivalent to 2/10 by 3 and arrive at the equivalent fraction 3/15.
*Credits to another Brainly question. The person who asked the question put this answer in the answer options.*
What rotation about the origin is equivalent to R−200°?
Answer:
Answer:
160°
Step-by-step explanation:
If you add or subtract a full 360° rotation (or multiple of 360°) you get the same rotation.
Add 360° to -200°:
-200 + 360 = 160
Xsquared =60 what is the value of x
Answer:
x = ±2√15
Step-by-step explanation:
x^2 = 60
x = ±√60
x = ±2√15
A similar follow-up study is done on a sample of 25 meat-lovers who never eat vegetables, again randomly selected from the same general population (population mean life expectancy = 75, population standard deviation = 5). This new sample of meat-eaters live to an average age of 77. What is the lower limit and upper limit of the 95% confidence interval for the life expectancy of this sample of meat-lovers?
Answer:
The lower limit is 75.04
The upper limit is 78.96
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n = 25[/tex]
The sample mean is [tex]\= x = 77[/tex]
The standard deviation is [tex]\sigma = 5[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
The critical value for [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.96* \frac{5 }{\sqrt{25} }[/tex]
=> [tex]E = 1.96[/tex]
The 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \= x +E[/tex]
=> [tex]77 - 1.96 < \mu < 77 + 1.96[/tex]
=> [tex]75.04 < \mu < 78.96[/tex]
The cost and revenue are defined, in dollars, as C(x) = 30x + 100 and R(x) = -x2 + 90x.
Required:
a. Find and simplify the profit function, defined by P(x).
b. Use a. to find the marginal profit function.
Answer:
a) The profit function is [tex]P(x) = -x^{2}+60\cdot x -100[/tex], b) The marginal profit function is [tex]P'(x) = -2\cdot x + 60[/tex].
Step-by-step explanation:
a) Let be [tex]C(x) = 30\cdot x + 100[/tex] (cost function) and [tex]R(x) = -x^{2}+90\cdot x[/tex] (revenue function), the profit function is found by subtracting the cost function from the revenue function. That is:
[tex]P(x) = R(x)-C(x)[/tex]
[tex]P(x) = -x^{2}+90\cdot x -(30\cdot x + 100)[/tex]
[tex]P(x) = -x^{2}+90\cdot x -30\cdot x -100[/tex]
[tex]P(x) = -x^{2}+60\cdot x -100[/tex]
b) The marginal profit function is the first derivative of the profit function:
[tex]P'(x) = -2\cdot x + 60[/tex]
What is 5x100? .................................................
Answer:
500
Step-by-step explanation:
Answer:
it is 500
Step-by-step explanation:
it is 500 because if you take the 5 and multiply it by the 1 you get one then all you do after you do that is add the zeros at the end.
PLEASE HELP ME ASAP Tyler needs to score 100 points on his final math test of the year to improve his average score from 76 to 79. How many math tests are there in a year?
Answer:
8 tests
Step-by-step explanation:
Let's call the number of total math tests in a year as x. Therefore, excluding the final test, the total number of tests in a year is x - 1. Since his original average was 76, that means that the sum of his test scores without the final was 76(x - 1), and because getting a 100 on his final gets him a 79, the sum of all his scores is 76(x - 1) + 100, which will be equal to 79 * x, therefore:
76(x - 1) + 100 = 79x
76x - 76 + 100 = 79x
24 = 3x
x = 8 tests
The sales data from the past two months of a frozen yogurt shop are approximately normal. The mean daily sales for the first month was $200 with a standard deviation of $30. On the 15th of the first month, the shop sold $245 of yogurt. The mean daily sales for the second month was $220 with a standard deviation of $50. On the 15th of the second month, the shop sold $270 of yogurt. Which month had a higher z-score for sales on the 15th, and what is the value of that z-score? a.) The second month, with a z-score of 1. b.) The second month, with a score of 1.67. c.) The first month, with a score of 0.9. d.) The first month, with a z-score of 1.5.
Answer:
The correct option is D
Step-by-step explanation:
From the question we are told that
The mean for the first month is [tex]\mu _ 1 = \$ 200[/tex]
The standard deviation for first month is [tex]\sigma_1 = \$ 30[/tex]
The sale on 15th of first month is [tex]x_1 = \$245[/tex]
The mean for the second month is [tex]\mu _ 2 = \$220[/tex]
The standard deviation for second month is [tex]\sigma_2 = \$ 50[/tex]
The sale on 15th of second month is [tex]x_2 = \$ 270[/tex]
Generally the z-score is mathematically represented as
[tex]z = \frac{x - \mu }{ \sigma}[/tex]
For the first month
[tex]z_1 = \frac{x_1 - \mu_1 }{ \sigma_1 }[/tex]
[tex]z_1 = \frac{ 245 - 200 }{ 30 }[/tex]
[tex]z_1 = 1.5[/tex]
For the second month
[tex]z_1 = \frac{x_2 - \mu_2 }{ \sigma_2 }[/tex]
[tex]z_1 = \frac{ 270 - 220 }{ 50 }[/tex]
[tex]z_1 = 1[/tex]
Answer: 1.5
Step-by-step explanation:
Recall that .For the first month, .For the second month, .We can see the first month had the higher z-score of 1.5.
what is the real part of 4-5i
a. 5
b. 4
c. -5i
d. -5
PLEASE HELP!
Answer:
4Step-by-step explanation:
A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.
Given the complex number 4-5i, comparing the complex number with x+iy
4 = x and iy = -5i
Hence x = 4 and y = -5.
Since x is the real part of the complex number x+iy, hence 4 will be the real part of the complex number 4-5i based on comparison.
what is (3⁴×5⁴)-³ =?
Answer:
The solution to the given expression is 1/2562890625
Step-by-step explanation:
(3⁴ × 5⁴)⁻²
Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.
(15⁴)⁻²
Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.
15⁻⁸
Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.
1 / 15⁻⁸
Now, we simplify the term on the bottom.
1 / 2562890625
So, this is the solution to the problem.
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n2+5/2n
Answer:
[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]
[tex](n + \frac{5}{4})^2[/tex]
Step-by-step explanation:
Given
[tex]n^2 + \frac{5}{2}n[/tex]
Required
(a) Make a perfect square trinomial
(b) Write as binomial square
Solving (a)
Let the missing part of the expression be k;
This gives
[tex]n^2 + \frac{5}{2}n + k[/tex]
To solve for k, we need to square half the coefficient of n;
i.e. Since the coefficient of n is [tex]\frac{5}{2}[/tex], then
[tex]k = (\frac{1}{2} * \frac{5}{2})^2[/tex]
[tex]k = (\frac{5}{4})^2[/tex]
[tex]k = \frac{25}{16}[/tex]
Hence;
[tex]n^2 + \frac{5}{2}n + k[/tex] = [tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]
Solving (b)
[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex]
Expand [tex]\frac{5}{2}n[/tex]
[tex]n^2 + \frac{5}{4}n+ \frac{5}{4}n + \frac{25}{16}[/tex]
Factorize
[tex]n(n + \frac{5}{4})+ \frac{5}{4}(n + \frac{5}{4})[/tex]
[tex](n + \frac{5}{4})(n + \frac{5}{4})[/tex]
[tex](n + \frac{5}{4})^2[/tex]
Hence:
[tex]n^2 + \frac{5}{2}n + \frac{25}{16}[/tex] = [tex](n + \frac{5}{4})^2[/tex]
Question 1
A company makes a book bag and charges a one-time design fee of $100 and then $5 for each bag made. What equation shows how the cost of a book bag order depends on the number of bags, n?
Answer:
C = 5n + 100
Step-by-step explanation:
The cost (C) to make a book bag is an initial fee of $100 with an additional $5 for each bag (n) made. The equation will look like
C = 5n + 100
An account earned interest of 5% per year. The beginning balance was $250. The equation t=log1.05E250 represents the situation, where t is the time in years and E is the ending balance.
Answer:
3 years
Step-by-step explanation:
The number of years that required for opening an account is shown below:
Given that
Opening balance = $250
ending balance = $289.41
t = [tex]log_{1.05} \frac{E}{250}[/tex]
Interest rate = 5%
Based on the above information, the number of years required is
[tex]t = log_{1.05} \frac{289.41}{250}[/tex]
= 3 years
Hence, the number of years required to open an account is 3 years and the same is to be considered by using the above formula
Please help !
The kinetic energy of an object is the energy it has due to its motion. The kinetic energy E, in joules, of an object with a mass of m kilograms moving at v meters per second is modeled by the function -
Answer:
v (E) = √(2E/m)
Step-by-step explanation:
From the question given:
E = ½mv²
E is the kinetic energy
m is the mass of object
v is the velocity.
To find a model v(E) for the velocity of the object, we simply make V the subject of the above equation.
This can be obtained as follow:
E = ½mv²
Cross multiply
mv² = 2E
Divide both side by m
v² = 2E/m
Take the square root of both side
v = √(2E/m)
Therefore, the model v(E) for the velocity of the object is given by:
v (E) = √(2E/m)
Jack plants a 5 centimeter beanstalk in his back yard. For the next month, Jack notices that each day the beanstalk is 15% taller than it was the previous day. Which formula represents the height of the beanstalk (in centimeters) as a function of the number of days, t, since it was planted
Answer:
[tex]H= 0.15x+ H[/tex]
Step-by-step explanation:
This problem requires that we produce a model that describes the daily height of the beans stalk
let us describe some variables
the daily height is H
let the initial height be h= 5 cm
and the daily increment be 15%= 0.15
and also the number of days be x
We can use the equation of straight line to model the daily height of the beans stalk
i.e
[tex]y= mx+c[/tex]
hence the formula for the height of the beanstalk is
[tex]H= 0.15x+ H[/tex]
the difference between the number in three fourths is one half
Answer:
3
Step-by-step explanation:
The maximum horizontal range of a projectile is given by the formula where u is the initial velocity and g is the acceleration due to gravity. Find the velocity with which a ball can be thrown to have a maximum range of 20 meters when the acceleration due to gravity is equal to 9.8 m/s.
Answer:
v=?
U=0
a=9.8m/s²
s=20m
V²=u+2as
v²=0+2*9.8*20
v²=392
v=✓392
v=19.789
v=19.80m/s
The area of the triangle shown is 40.0 cm2.
?
12.5 cm
* not drawn to scale
What is the height of the triangle?
Answer:
The height of the triangle is 6.4cm
Step-by-step explanation:
- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.
Which is equivalent to the description of an isosceles triangle.
To find the height, use the equation of the area.
Area = (Base * height) / 2
- We know the value of the area and its shorter side that could be the base.
40cm = (12.5 cm * h) / 2
- Clearing the height would give that:
80cm / 12.5cm = h
h = 6.4cm
The height of the triangle is 12.5cm
A triangle is a plane figure with edges that are all straight with three sides and three angles.
The formula for calculating the area of a triangle is;
[tex]\mathbf{Area = \dfrac{1}{2}\times Base \times Height}[/tex]
Given that:
The area = 40 cm²
Since the diagram for the triangle is not given;
Let us assume the base of the triangle = 12.5 cm, provided we are to determine the height.∴
Using the formula form above:
[tex]\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}[/tex]
[tex]\mathbf{80.0 cm^2 = 12.5 cm \times Height}[/tex]
[tex]\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }[/tex]
Height of the triangle = 6.4 cm
Therefore, we can conclude that the height of the triangle = 6.4 cm
Learn more about triangles here:
https://brainly.com/question/2773823?referrer=searchResults
solve 7x-3y=14 for y
Answer:
y = - 14/3 +7x/3
Step-by-step explanation:
The reason for my answer is because let us move the -3y so it is before the equal sign. Let us also move 7x to the other side but make it so 14 would be to the right side of the equal sign. Now, that would mean 7x would be after 14. Our equation is now -3y=14-7x. We need to divide both sides of the equation by -3. There, we just divided -3y by 3 which equals to y. 14 divided by -3 equals to -14/3. -7x divided by -3 would equal to +7x/3. Finally, we get the answer of y = - 14/3 +7x/3.
Answer:
Step-by-step explanation:
● 7x-3y = 14
This a 1st degree equation with two variables.
● 7x-3y = 14
Substract 7x from both sides
● 7x-7x -3y = 14-7x
● -3y = 14-7x
Mulitply both sides by -1
● (-1)×(-3y) = (-1)×(14-7x)
● 3y = -14+7x
● 3y = 7x+14
Divide both sides by 3
● 3y/3 = (7x+14)/3
● y = (7/3)x + 14/3
There are infinite solutions for this equation. Keep replacing x with value and the output will change everytime.
Santa's Wonderland is an extravagant holiday light display that is open from early November through January each year. The entry fee is $15 per vehicle for up to and including 5 people, with an additional $1.50 for each person over 5. Express this information as a piecewise function of x, where x represents the number of people in the vehicle.
Answer:
The expression
Y(x)= 15(v)+1.5(x)
Step-by-step explanation:
The entry fee is $15 per vehicle for up to and including 5 people, with an additional $1.50 for each person over 5.
Let the entrance fee be Y
Let the number of vehicle be V
Let X be the number of people more than 5
The expression
Y(x)= 15(v)+1.5(x)
The figure below shows the correct construction of a segment bisector.
Answer:
it's false.... not sure
What is the solution for this inequality?
5x< 45
O A.
OB.
Oc.
XS-9
Answer:
x < 9
Step-by-step explanation:
Hello!
We solve inequalities the same we would solve equations. What we do to one side we have to do to the other.
5x < 45
Divide both sides by 5
x < 9
The answer is x < 9
Hope this helps!
Answer:
x<9 I hope help you Mark as Brainliest
The inequality 5m-7 > 16 holds true for all numbers than in set {1,2,3,4,5,6,7,8,9,10}
Answer:
Greater than 4
your $440 gets 5.8% interest compounded annually for for 8 years what will your $440 be worth in 8 years l?
Answer:
The answer is $690.78
Step-by-step explanation:
Solve the equation 6(x-5) =12
Answer:
x=7
Step-by-step explanation:
6(x-5)=12
We will use the distributive property to get the answer of 6(x-5)
6(x-5)=12
6x-30=12
6x=12+30
6x=42
6x/6=42/6
x=7
Proof:
6(x-5)=12
6(7-5)=12
42-30=12
12=12 or
6(7-5)=12
6(2)=12
12=12
Hope this helps ;) ❤❤❤
Convert -11°20'49" to decimal degree form. Round your answer to three decimal places.
I need the answer):
Answer:
Convertir- 11°20'49"
Step-by-step explanation:
I New the answer):
How do we write 0.76 in expanded form
Answer:
0 ones
7 tenths
6 hundredths
I'm sorry if I misunderstood.
Good luck though! :)
Please add Brainliest if you'd like, not that it matters.
Find the value of x such that l ⊥ m. A) 10.7 B) 16 C) 46 D) 48
A rancher wishes to build a fence to enclose a rectangular pen having area 24 square yards. Along one side the fence is to be made of heavy duty material costing $6 per yard, while the remaining three sides are to be made of cheaper material costing $3 per yard. Determine the least cost of fencing for the pen.
At the point of the least cost of fencing the cost function has a zero
derivative.
The least cost of fencing for the pen is $72.00Reasons:
Shape of the pen = Rectangular
Area of the pen = 24 yd²
Cost of material on one side of the fence = $6 per yard
Cost of material on the remaining three sides = $3 per yard
Required:
The least cost of fencing the pen
Solution:
The least cost is a minimum value of the cost function
Let L represent the length of the fence and let W represent the width of the fence
We have;
The perimeter of the fence = 2·L + 2·W
The area of the pen, A = L × W = 24
One of the length, L, of the fence costs $6 per yard and the other length L,
of the opposite side costs $3 per yard.
The cost of fencing, C 3 × 2·W + 3 × L + 6 × L = 6·W + 9·L
C = 6·W + 9·L
[tex]\displaystyle W = \mathbf{\frac{24}{L}}[/tex]
Which gives;
[tex]\displaystyle C = 6 \cdot \frac{24}{L} + 9 \cdot L = \frac{144}{L} + 9 \cdot L = \mathbf{\frac{144 + 9 \cdot L^2}{L}}[/tex]
The shape of the above function is concave upwards.
At the minimum value, we have;
[tex]\displaystyle \frac{dC_{min}}{dL} = \frac{d}{dL} \left(\frac{144}{L} + 9 \cdot L\right) = 9 - \frac{144}{L^2} = 0[/tex]
Which gives;
[tex]\displaystyle \frac{144}{L^2} = 9[/tex]
[tex]\displaystyle \frac{144}{9} = L^2[/tex]
By symmetric property, we have;
[tex]\displaystyle L^2 = \frac{144}{9}[/tex]
[tex]\displaystyle L = \sqrt{ \frac{144}{9}} = \frac{12}{3} = 4[/tex]
The length of the fence that gives the least cost, L = 4 yards
[tex]\displaystyle At \ L = 4, \ W = \frac{24}{4} = 6[/tex]
The width of the fence at least cost, W = 6 yards
Cost, C = 6·W + 9·L
Least cost, [tex]C_{min}[/tex] = 6 × 6 + 9 × 4 = 72
The least cost of the fencing, [tex]C_{min}[/tex] = $72.00
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HELP ASAP ROCKY!!! will get branliest.
Answer:
2nd Option.
Step-by-step explanation:
The 2 lines are intersecting each other. That means the point of intersection is the solution set to the systems of linear equations.
This translate into that point (4, 4) in the graph works for both line A and line B.
x^2 -9 divided by x+3
Step-by-step explanation:
Hey, there!!
Given that,
[tex] \frac{ {x}^{2} - 9 }{x + 3} [/tex]
{ we can write (a^2-4) as (a^2 - 2^2) also as (x^2- 9) can be written as (x^2 - 3^2)}.
[tex] \frac{ {x}^{2} - {3}^{2} }{x + 3} [/tex]
We have a^2-b^2= (a+b) (a-b), so keep same formula on it.
[tex] \frac{(x + 3)(x - 3)}{(x + 3)} [/tex]
(x+3) in numerator and denominator gets cancelled,
[tex](x - 3)[/tex]
Therefore, (x-3) is the final value.
Hope it helps...