Answer:
312mm^2
Step-by-step explanation:
help please, solve for D
12
25
4
5
Answer: 81.98274589 is what i got but it will be 81 hope this helped
Step-by-step explanation:
And also this one please very important please
Answer:
B. x = 5 +i√5 and x = 5 - i√5
Step-by-step explanation:
A rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material for the base costs $15 per square meter. material for the sides costs $9 per square meter. let w denote the width of the base. Find a function in the variable w giving the cost C in dollars) of constructing the box.
The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.
How to determine the function?We have a rectangular storage container without a lid.
Volume, V = 10 m³Length, l = 2wWidth, w = wBase costs $15/m²Sides costs $9/m²The formula of volume of the box is
V = l × w × h
Where
l = lengthw = widthh = heightSo, the height is
10 = 2w × w × h
10 = 2w² × h
h = 10/2w²
h = 5/w²
To find the total cost, calculate the area of base and sides of the box!
See the picture in the attachment!
The base area is
A₁ = 2w × w = 2w² m²
The sides area is
A₂ = 2(2wh + wh)
A₂ = 2(3wh)
A₂ = 6wh
A₂ = 6w(5/w²)
A₂ = 30/w m²
The total cost is
C = $15(2w²) + $9(30/w)
C = $30w² + $270/w
The function of the total cost is
C(w) = 30w² + 270/w
Hence, the function of constructing the box is C(w) = 30w² + 270/w.
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What is the next term of the geometric sequence 5, 20,80
Answer:
a₄ = 320
Step-by-step explanation:
To obtain a term in a geometric sequence , multiply the previous term by the common ratio r
r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{20}{5}\) = 4 , then
a₄ = 4 × a₃ = 4 × 80 = 320
Write a system of two linear equations showing the distance each animal can
travel to model the fair race. Be sure to define all variables
Please, someone, explain this to me
We can write the following two linear equations to represent the distance each animal can travel in the race:
d1 = r1 * t
d2 = r2 * t
Let's call the distance that the first animal can travel in a certain amount of time "d1" and the distance that the second animal can travel in that same amount of time "d2". We can write the following two linear equations to represent the distance each animal can travel in the race:
d1 = r1 * t
d2 = r2 * t
where "r1" is the rate of the first animal, "r2" is the rate of the second animal, and "t" is the time that the race lasts. These two equations show how the distance each animal can travel is proportional to their rate and the time that the race lasts.
In this model, the variables are defined as follows:
d1 = distance traveled by the first animal
d2 = distance traveled by the second animal
r1 = rate of the first animal
r2 = rate of the second animal
t = time the race lasts
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The independent variable of a boxplot is:
O a reference stream
O continuous
O the Oregon ∣BI
O categorical
The independent variable of a boxplot is categorical. This means that variable used to create boxplot consists of distinct categories rather than continuous numerical values. The boxplot allows to visualize and compare the distribution of a quantitative variable across different categories .
In statistical analysis, the independent variable is the variable that is manipulated or controlled in order to observe its effect on the dependent variable. In the case of a boxplot, the independent variable is typically a categorical variable. This means that it consists of distinct categories or groups that are not inherently ordered or continuous.
For example, in a study comparing the heights of individuals from different countries, the independent variable would be the country itself, which is a categorical variable. The heights of individuals would be the dependent variable, and the boxplot would show the distribution of heights for each country.
By using a boxplot, we can easily compare the distribution of a quantitative variable across different categories or groups and identify any differences or patterns that may exist. It provides a visual summary of the minimum, first quartile, median, third quartile, and maximum values within each category, allowing for easy comparisons and identification of outliers.
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help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 3.
Step-by-step explanation:
Plug in, combine, solve.
\(m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3\)
2
During peak visiting time,
Arches National Park earns
$115,200 in entrance fees and
reservations. That's 3,600 times
the sum of $30 and v, the fee for a
private vehicle. Write and solve an
equation to find v.
The fee for a private vehicle at Arches National Park during peak visiting time is $2.
Let's assume that v represents the fee for a private vehicle in dollars. According to the given information, the total earnings during peak visiting time at Arches National Park is $115,200. This amount is 3,600 times the sum of $30 and v.
To express this situation as an equation, we can set up the following equation:
115,200 = 3,600 * (30 + v)
We multiply the sum of $30 and v by 3,600 because the total earnings are 3,600 times that value. Solving this equation will give us the value of v, the fee for a private vehicle.
To solve the equation, we start by dividing both sides by 3,600:
115,200 / 3,600 = 30 + v
This simplifies to:
32 = 30 + v
Next, we subtract 30 from both sides to isolate v:
32 - 30 = v
2 = v
Therefore, the fee for a private vehicle at Arches National Park during peak visiting time is $2.
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A post has a height of 14 ft and its shadow is
5 ft. Based on this, if the shadow of a shorter
post is 2 ft, what is the actual height of this
post?
-
Find all complex solutions of 3x -3x+7=0.
+=.
(If there is more than one solution, separate them with commas.)
= 1
0/0
i 0,0,...
Х
?
Answer:
Step-by-step explanation:
3x² - 3x + 7 = 0
a = 3 ; b = -3 and c = 7
D = b² - 4ac = (-3)² - 4*3*7
D = 9 - 84 = - 75
D = 75i²
√D = √75i² = \(\sqrt{5*5*3 * i * i}= 5i\sqrt{3}\)
\(x = \dfrac{-b+\sqrt{D}}{2a} \ ; \ x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i\)
Sheila opens a savings account with 720 dollars that earns 5% interest per year not compounded. How much interest, to the nearest penny , will sheila earn in one year
Sheila will earn $36 in interest in one year.Sheila opens a savings account with $720 and earns 5% interest per year, not compounded. The task is to calculate the amount of interest she will earn in one year, rounded to the nearest penny.
To calculate the interest Sheila will earn in one year, we can use the formula: Interest = Principal * Rate.
Given that Sheila opens a savings account with $720 and earns 5% interest per year (not compounded), we can substitute the values into the formula:
Interest = $720 * 0.05 = $36.
Therefore, Sheila will earn $36 in interest in one year.
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Someone please Help me it’s due soon !!!! Use steps please
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
Find the monomial if the expression is the cube of that monomial.
−0.001a
The monomial of the expression given the cube of that monomial -0.001a^(3n+3) is; x = (-1/10)a^(n + 1)
How to find the monomial of a polynomial expression?A monomial is defined as a polynomial, that has only one term. A monomial is also defined as an algebraic expression possessing a single term but can as well possess multiple variables as well as a higher degree also.
We are given the expression;
x³ = -0.001a^(3n + 3)
Now, -0.001 can also be expressed as -1/10³. Thus, we have;
x³ = (-1/10³)a^(3n + 3)
Factorizing the exponent gives;
x³ = (-1/10³)a^[3(n + 1)]
Since the terms are both cubed, then we can write as;
x³ = [(-1/10)a^(n + 1)]^3
Taking the cube root of both sides gives us;
x = (-1/10)a^(n + 1)
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The complete question is;
Find the monomial if the expression is the cube of that monomial -0.001a^(3n+3)
1.1 1.2 1.3 0.6 m 500 cm 2,6 m Use the Formulae, to answer the questions that follow. Area = L x B Area = #xr²( TT= 3,142) Area = ¹xbxh Convert 500 em to m Calculate the area of one window. Calculate the area of the vent, rounded to ONE decimal place. Calculate the area of the rectangular part of the wall.
a. The area of one window is 0.72 m².
b. The area of the vent, rounded to one decimal place is 0.2 m².
c. The area of the rectangular part of the wall is 13 m²
How to calculate the area of one window?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.By substituting the given parameters into the formula for the area of a rectangle, we have the following;
Area of one window = 1.2 × 0.6
Area of one window = 0.72 m²
Part b.
In Mathematics and Geometry, the area of a circle can be calculated by using this mathematical equation (formula):
Area of circle = π × (radius)²
Area of vent = 3.14 × (0.5/2)²
Area of vent = 0.19625 ≈ 0.2 m².
Part c.
Area of rectangular part of the wall = 2.6 × 5
Area of rectangular part of the wall = 13 m²
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Calculate dy/dx of x= 2a sin²t cos 2t
y= 2a sin²t sin 2t
Answer:
x=sint
Differentiating w.r.t. t, we get,
dt
dx
=cost
y=cos2t
Differentiating w.r.t. t, we get,
dt
dy
=−2sin2t
Thus,
dx
dy
=−
cost
2sin2t
dx
dy
=
cost
−4sintcost
=−4sint
Step-by-step explanation:
You want to buy a new hat that costs $9.20 on the price tag. How much
will you pay at the register if there is an 8.5% tax? Round to the nearest
cent. *
Answer:
$9.98 :)
Step-by-step explanation:
just multiply the tax (0.085) by the price ($9.20) then add the initial price ($9.20) to that.
find the arc length of the polar curve r = e5θ where 0 ≤ θ ≤ 2π.
The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
What is an arc?To find the arc length of a polar curve, we use the formula:
L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ
where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.
In this case, we have r(θ) = e^5θ, so:
dr(θ)/dθ = 5e^5θ
Plugging these into the arc length formula, we get:
L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ
Simplifying the integrand, we have:
L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ
L = ∫[0,2π] √(26e^10θ) dθ
L = √26 ∫[0,2π] e^5θ dθ
Using the formula for the integral of e^x, we get:
L = √26 [e^5θ / 5] |_0^(2π)
L = √26 [(e^10π - 1) / 5]
So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].
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Amy sells girl scout cookies. She sells Thin Mints for $5 and Caramel Delights for $6. She made a total of $730. If she sold a total of 130 boxes, how many of each kind did she buy? *
Amy sold 50 boxes of Thin Mints and 80 boxes of Caramel Delights.
How many boxes of Thin Mints and Caramel Delights did Amy sell?We assume Amy sold x boxes of Thin Mints and y boxes of Caramel Delights.
We will set up two equations:
The total number of boxes sold: x + y = 130The total amount of money collected: 5x + 6y = 730.Multiplying first equation by 5, we get:
5x + 5y = 650
Now, we subtract from second equation:
5x + 6y - (5x + 5y) = 730 - 650
y = 80
Substituting value of y into first equation:
x + 80 = 130
x = 130 - 80
x = 50
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What is the length of ED
Answer:
ED ≈ 2.6 units
Step-by-step explanation:
Using the Sine rule in Δ DEF
\(\frac{FD}{sin115}\) = \(\frac{ED}{sin20}\)
\(\frac{6.95}{sin115}\) = \(\frac{ED}{sin20}\) ( cross- multiply )
ED sin115° = 6.95 sin20° ( divide both sides by sin115° )
ED = \(\frac{6.95sin20}{sin115}\) ≈ 2.6 ( to the nearest tenth )
Is (-7,2 a solution
Answer:
(-7,2) is a solution but where is the question?
Step-by-step explanation:
Answer:
It is.
Step-by-step explanation:
I need the question though....
Put it DB and I'll answer!
Help me put this in order please help thanks
a statistics professor asked students in a class their ages. based on this information, the professor states that the average age of all the students in the university is 24 years. this is an example of a. an experiment. b. an observational study. c. statistical inference. d. descriptive statistics.\
The correct option is statistical inference (b).
The professor uses sample data from the population to determine the average age. Anytime inferential statistics or statistical inference is used to make inferences from samples.
Instead of gathering data from the entire institution, the professor took age samples from a class and used those data to draw conclusions about the entire university.
Descriptive statistics in statistics help you describe the facts, whereas inferential statistics assist you in drawing conclusions from the data.
Data from the sample are used in inferential statistics, which allows you to generalise about the population.
Inference generally refers to "guessing," which involves drawing conclusions about something.
So, drawing conclusions about the population is what is meant by statistical inference. It makes use of a number of statistical analytic tools to draw a conclusion about the population.
Therefore, the correct option is statistical inference.
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an igloo can be modeled as a hemisphere. its diameter measures 11.2 m. find its volume in cubic meters. round your answer to the nearest tenth if necessary.
The volume of the hemisphere (or the igloo) is approximately 369.2 cubic meters.
The volume of a hemisphere is given by the formula:
\(V = (2/3)πr^3\)
where r is the radius of the hemisphere.
Given that the diameter of the hemisphere measures 11.2 m, the radius is half of that:
r = d/2 = 11.2/2 = 5.6 m
Substituting this value into the formula, we get:
V = (2/3)π(5.6)^3
= (2/3)π(175.616)
= 369.2 cubic meters (rounded to one decimal place)
Therefore, the volume of the hemisphere (or the igloo) is approximately 369.2 cubic meters
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Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
3. A CD costs £9.50 in London and
cheaper, in British money, is the CD when bought in the US?
4. An MP3 player costs €20.46 in Spain and £12.60 in the UK. Which is
the cheaper in dollars, and by how much?
in Nou Delhi is 32860 rupees.
Step-by-step explanation:
Only Q4 has clear details
therefore, solving Question 4,
1 euro = $1.17
then, €20.46 =20.46×1.17 = $23.93.
1 pound =1.28 dollars.
then, £12.60 = 12.60×1.28 =$16.128
therefore, MP3 in pound is cheaper in dollar by $7.81.
Please help me, thank you for considering!
What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?
Answer: To have a real number in the denominator
Step-by-step explanation:
Ok, a quotient between two complex numbers can be written as:
\(\frac{A + Bi}{C+Di}\)
Now, when we do these types of divisions, we multiply and divide by the same number (so in essence we are multiplying by one) that is the conjugate of the denominator.
Remember that for a complex number:
Z = A + Bi
the conjugate is = A - Bi.
Then, wen we multiply the denominator by it's conjugate, we have:
(C + Di)(C - Di) = C^2 + D*C*i - D*C*i + (D*i)*(-D*i) = C^2 + D^2
So now we have a real number in the denominator (the imaginary part of this number is equal to zero)
So the answer to the question is:
"To have a real number in the denominator"
ℎ ... !
REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
$30.41
Step-by-step explanation:
To find the tax she paid take the total amount times the rate of tax
24.20x.05=1.21
Then add the tax to the amount she paid before tax was added and the tip
$1.21+$24.20+$5=$30.41
So she spent $30.41 at the restaurant
Subject:Mathematics
Please help me with this show me the steps and the answer do not send me link please
Answer:
16
Step-by-step explanation:
Ok, so to solve for the side, You have to have the base, area, and gamma of the triangle.
Since we already have the base (12), we'll start with the area.
We already have the height, so it's pretty simple.
Take the base and the height and multiply them, then divide by 2.
(bxa/2)
12 x 16 = 192
192 / 2 = 96
So, the area is 96.
The gamma is simple, since this is a right triangle, the gamma is 90.
And with this information, the missing side is 16
c = 16