Answer:
D. $0.42 for 1 orange
Step-by-step explanation:
Divide the number of oranges by the corresponding total cost.
Ex. 5.04 ÷ 12 = 0.42
Answer: 0.42
Step-by-step explanation: 0.42+0.42+0.42= 1.26
Solve for h -4(-6h - 7) = 9h + 10h - 7
Answer:
h=-7
Step-by-step explanation:
-4(-6h - 7) = 9h + 10h - 7
24h+28=19h-7
Both side -28
24h+28-28=19h-7-29
24h=19h-35
Both side -19h
24h-19h=19h-19h-35
5h=-35
h=-7
Answer:
h = -7
Step-by-step explanation:
-4(-6h-7)= 9h+ 10h-7
24h+ 28=19h-7
-19. -28. -19 -28
5h -35
h= -7
An engineer is designing a fuel tank in the shape of a cylinder. The tank must have a volume of 3,500 cubic inches. The height of the cylinder must be twice the radius. What is the approximate radius of the cylinder?
8.2 inches
10.4 inches
12.1 inches
23.6 inches
By using the formula for the volume of a cylinder we will see that the approximate radius must be 8.2 inches.
How to get the radius of the cylinder?
Remember that for a cylinder of radius R and height H the volume is:
[tex]V = 3.14*R^2*H[/tex]
In this case, the height is twice the radius, so we have:
H = 2R
[tex]V = 3.14*R^2*2R = 6.28*R^3[/tex]
And we know that the volume must be 3,500 in^3, now we can replace that and solve for R, we will get:
[tex]3,500 in^3 = 6.28*R^3[/tex]
[tex](3,500 in^3/6.28)^{1/3} = R = 8.2 in[/tex]
The approximate radius of the cylinder must be 8.2 inches.
If you want to learn more about cylinders you can read:
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In the set {(2,4),(5,6),(2,-3)} why is this relation not a function?
Answer:
This relation is not a function because the x coordinate "2" repeats in more than two functions.
Step-by-step explanation:
Hope it helps :)
what equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
Answer:
y = 4/5 x + 2/5
Step-by-step explanation:
f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.
A student purchased 9 binders for $11.07.
Solve the equation to determine the cost, in dollars, for each binder.
$
Answer:
$1.23
Step-by-step explanation:
9 binders for 11.07, where x = num of binders
9x = 11.07 [Divide both sides by 9]
x = $1.23
Answer:
each binder costs $1.23
Step-by-step explanation:
$11.07 divided by 9 equals $1.23
If f(x) and its inverse function, are both plotted on the same coordinate plane, where is their point of intersection?
Answer:
The point of intersection would be the point were both functions meet/cross paths.
Step-by-step explanation:
I don't know what the question looks like, if there is a graph or not, but the point of intersection is the point that both functions meet at the same place at the same time.
Hope this helps ^-^
From the choices provided, select all the questions that represent statistical questions,
A What was the temperature at 5:00p.m. today in Boston?
B How many pieces of fruit were used to make Shawn's smoothie today?
How many states are there?
D What types of food do students in your school bring for lunch each day?
E How many books did each student check out at the library last year?
Answer:
all exept c i think
please help! find the key info for the graph given
Which comparison statement describes the model below 6 6 6 6 24
if x=2y - 1 and 2x3y + 2, then x = ?
Answer:
the value of x is 7
Step-by-step explanation:
The computation of the value of the x is given below:
Given that
x = 2y - 1...........(1)
2x = 3y + 2.................(2)
Put the equation 1 in equation 2
i.e.
2(2y - 1) = 3y + 2
4y - 2 = 3y + 2
y = 4
So,
x = 8 - 1
= 7
Hence, the value of x is 7
I am trying to find the answer to (in photo). But my calculator wont give me the answer. Does anyone know the answer to it? Or know how to calculate it without a calculator?
Answer:
[tex]\sqrt{13}[/tex] = 3.605551275......
Step-by-step explanation:
[tex]\sqrt{13}[/tex]
3.6
3 [tex]\sqrt{13}[/tex]
-9
36[tex]\sqrt{4}[/tex]00
do you need to know more... ??
9514 1404 393
Answer:
√13 ≈ 3.60555127546
"by hand": 3 4/7 or 398143/110425 or 3.6055 or 3 23/38
Step-by-step explanation:
Most on-line calculators, calculator apps for phone or tablet, and any spreadsheet can calculate this for you. The first attachment shows the result from the Go.ogle calculator.
Here, we describe 4 methods of approximating the root "by hand." That is, the calculations can be done with pencil and paper. They are easily within the capability of a 4-function calculator.
__
Method 1 -- Linear approximation
You can approximate it by hand in the following way.
√13 is between √9 = 3 and √16 = 4. As a first approximation, it is ...
3 + (13 -9)/(16 -9) = 3 4/7 ≈ 3.57 ≈ 3.6
This is a linear interpolation between √9 and √16.
_____
Method 2 -- Babylonian method
The "Babylonian method" can be used to refine this approximation. For the next guess, average this number and the quotient 13 divided by this number.
x = (3 4/7 + (13/(3 4/7))/2 = (25/7 + 13·7/25)/2 = (625 +637)/350 = 631/175
x = 3 106/175 ≈ 3.6057 . . . . . . good to 3 decimal places
One more iteration will double the number of correct decimal digits.
x = (3 106/175 + 13/(3 106/175))/2 = 398143/110425 ≈ 3.60555127915
(correct digits are highlighted)
_____
Method 3 -- "long division"
There is also a "long-division" method that develops the root one digit at a time. This is described in the second attachment, an extract from the NIST web site. For a number like 13, you would use 13.00 00 00 00 as the initial "dividend" to get a 4-digit root.
_____
Method 4 -- continued fraction
Once you realize that the root is between 3 and 4, you can write a "continued fraction" for the fractional part:
3 +x = √13 . . . . . . where x is the fractional part of the root
(3 +x)² = 13 . . . . . . square both sides
x² +6x +9 = 13 . . . expand the square
x(x +6) = 4 . . . . . . . subtract 9 and factor
x = 4/(6 +x) . . . . . . write as an iterator (continued fraction)
At this point, we can say x = p/q for some integers p and q. Then the next iteration is ...
p/q = 4/(6 +p/q) = 4q/(6q +p)
That is, successive approximations of x can be had by the transformation ...
(p, q) ⇒ (4q, 6q+p)
Starting with the linear interpolation fraction x=4/7, the next refinements using this method are ...
(p, q) = (4, 7) ⇒ (28, 46) = (14, 23)* ⇒ (92, 152) = (23, 38)
At this point, you have approximated the root as 3 23/38 ≈ 3.6053, accurate in the third decimal place. Convergence is clearly much slower than using the Babylonian method.
__
* We have reduced the fraction p/q = 28/46 to 14/23 in order to keep the numbers as small as possible. Similarly, 92/152 is reduced to 23/38.
Let the graph of g be a reflection in the y-axis, followed by a translation 5 units down of the graph of f(x)=3x√4. Write a rule for g.
Answer: sorry don't know but uhh its 5
Step-by-step explanation:
what is 49, 423 rounded to the nearest ten thousand?
Answer:
50,000
Step-by-step explanation:
Marya has $146 in her checking account . She writes a check for $193 . What is the new balance in her checking account ?
Answer:
-$47
Step-by-step explanation:
If she has $146 in he account and we take away $193, we are left with -$47, making her in debt.
HELP ASAP What is the distance between the following points
Answer:
6
Step-by-step explanation:
Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?
Answer:
The perimeter of one poster is 57 inches.
Step-by-step explanation:
The perimeter of a rectangle is given by:
[tex] P = 2(w + h) [/tex]
Where:
w: is the widht = 12.5 in
h: is the height = 16 in
Hence, the perimeter is:
[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]
Therefore, the perimeter of one poster is 57 inches.
I hope it helps you!
HELP LOOK AT PHOTO PLEASE
Answer:
y=60
Step-by-step explanation:
1) Find x
All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:
[tex]180=x+35+25\\180=x+60[/tex]
Subtract 60 from both sides
[tex]180-60=x+60-60\\120=x[/tex]
2) Find y
A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:
[tex]180=x+y\\180=120+y[/tex]
Subtract 120 from both sides of the equation
[tex]180-120=y+120-120\\60=y[/tex]
There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.
I hope this helps!
A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use I = 3.14)
Answer:
Capacity = 9.63509
Step-by-step explanation:
V = πr²h
9.5 x 9.5 x 3.14 = 283.385
283.385 x 34 = 9,635.09
9,635.09 ÷ 1,000 = 9.63509
Please let me know if this helps.
A quart and a liter of the same kind of drink are on a shelf and are the same price. Which one should you pick if you are really thirsty?
quart
doesn't matter - they are the same amount
liter
If n12=1536
then n=
Hellllllllllllllppppp
Answer:
this should help you understand...
Step-by-step explanation:
write an Equation for the angle relationship shown in the figure and solve for x. Find the measures of RQS and TQU?
Answer:
∠RQS = 21°
∠TQU = 28°
Step-by-step explanation:
90° + 221° + 3x + 4x = 360°
combine like terms:
7x + 311° = 360°
subtract 311° from each side of the equation:
7x = 49°
divide both sides by 7:
x = 7°
∠RQS = 3x = 3(7°) = 21°
∠TQU = 4x = 4(7°) = 28°
solve for x:
(1/x) + (1/2x) = 18
Answer:
/sorry/
Step-by-step explanation:
How to solve your problem
(1)+(12⋅)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2} \cdot x)=18
(x1)x+(21⋅x)=18
Solve
1
Combine multiplied terms into a single fraction
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1}{2}x)=18
(x1)x+(21x)=18
(1)+(12)=18
\frac{x}{(\frac{1}{x})}+(\frac{1x}{2})=18
(x1)x+(21x)=18
2
Multiply by 1
3
Eliminate redundant parentheses
Solution
(1)+2=18
what type of function is shown on the table below
Answer:
x-fx-x*x
Step-by-step explanation:
ok soo ima need help !! {re-posting this one}
question-
Select all of the ratios that are equivalent to 6:16.
2:8
3:8
12/18
30/80
18 to 48
Answer:
3:8
30/80
18 to 48
Step-by-step explanation:
3:8 (6 and 16 divided by 2)
30/80 (6 and 16 times 5)
18 to 48 (6 and 16 times 3)
Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a population parameter b. a sample statistic, which has an expected value equal to the value of the population parameter c. a sample statistic whose value is usually less than the value of the population parameter d. any estimator whose standard error is relatively small
Answer:
a) Any sample statistic used to approximate a population parameter.
Step-by-step explanation:
An unbiased estimator is any sample statistic used to approximate a population parameter.
In mathematics, the bias of an estimator refers to the difference between the true value of the parameter being estimated and the estimator’s expected value.
If a statistic is not an underestimate or overestimate of the population parameter, then it is unbiased.
That is why an unbiased estimator is an accurate sample statistic used to approximate a population parameter.
2. Find the amount in an account where $500 is invested at 2.5% compounded continuously for a period of 10 years
Answer:
A = 642.01
Step-by-step explanation:
Given:
P = 500
r = 2.5% or 0.025
t = 10
Work:
[tex]A=Pe^{rt}\\\\A=500e^{0.025*10}\\\\A=500e^{0.25}\\\\A=642.01[/tex]
In DEF, sin D = 24/26 What is cos E?
A. 24 26
B. 10 24
C. 10 26
D. 26 10
Answer:
your answer will be option A. 24/26
Step-by-step explanation:
hope it helps....
In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are dealt with in Trigonometry.
We have,
[tex]\triangle[/tex] DEF,
[tex]SinD = \frac{24}{26}[/tex]
We know that,
[tex]SinD=\frac{Perpendicular}{Hypotenuse}=\frac{EF}{ED}[/tex] and [tex]CosE=\frac{EF}{ED}[/tex]
Using Pythagoras Theorem,
[tex]P^{2} +B^{2} =H^{2}[/tex]
i.e.
[tex]EF^2+FD^2=EF^2[/tex]
[tex]24^{2} +FD^2=26^2[/tex]
[tex]FD^2=676-576[/tex]
[tex]FD=10[/tex]
But when we look from [tex]\angle E[/tex] for [tex]Cos E[/tex] then,
[tex]CosE=\frac{EF}{ED}[/tex]
so,
[tex]CosE=\frac{24}{26}[/tex]
So, the value of [tex]CosE=\frac{24}{26}[/tex] is derived using the Trigonometric ratios.
Hence, we can say that In [tex]\triangle[/tex] DEF, [tex]SinD = \frac{24}{26}[/tex] , then [tex]Cos \ E[/tex] will be equals to [tex]\frac{24}{26}[/tex] .
To know more about Trigonometric ratios click here
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Find the value of x
Answer: 38
Step-by-step explanation:
At what point(s) do these graphs intersect?
y = x^2 + 3x - 5
y = 4x + 1
Seth's solution:
y = x^2 + 3x - 5
y = 4x + 1
x^2 + 3x - 5 = 4x + 1
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3 and x = -2
The graphs intersect at.(-20) and (3,0).
Is Seth's solution correct? Explain.
The graphs intersect at the points (3, 13) and (-2, -7).
How to determine the intersection of 2 graphsGiven the following equations:
y₁ = x² + 3x - 5 (quadratic equation)
y₂ = 4x + 1 (linear equation)
To find the intersection point(s) of the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:
y₁ = y₂
x² + 3x - 5 = 4x + 1
collect the like terms
x² - x - 6 = 0
Now we'll factor the quadratic expression:
(x - 3)(x + 2) = 0
x - 3 = 0 or x + 2 = 0
x = 3 or x = -2
Now we have the points of intersection on the x-axis.
To get the corresponding values on the y-axis, we'll plug each value of x into either of the original equations.
Let's use the first equation:
y₁ = x² + 3x - 5
When x = 3:
y₁ = 3² + 3(3) - 5 = 13
When x = -2:
y₂ = 4x + 1 = 4(-2) + 1 = -7
So the first intersection point is (3, 13) and the second intersection point is (-2, -7).
Therefore, the graphs intersect at the points (3, 13) and (-2, -7).
Learn more about intersection here:
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