Answer:
A.
B.
C.
Step-by-step explanation:
all three are used in 3 dimensional objects hence the name 3 dimensions.
SCALCET8 3.9.004.MI. The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 8 cm/s. When the length is 15 cm and the width is 7 cm, how fast is the area of the rectangle increasing
Answer:
The area of the rectangle is increasing at a rate of 169 cm²/s
Step-by-step explanation:
Given;
increase in the length of the rectangle, [tex]\frac{dL}{dt} = 7 \ cm/s[/tex]
increase in the width of the rectangle, [tex]\frac{dW}{dt} = 8 \ cm/s[/tex]
length, L = 15 cm
width, W = 7 cm
The increase in Area is calculated as;
[tex]Area = Length \times Width\\\\A = LW\\\\\frac{dA}{dt} = L(\frac{dW}{dt} )\ + \ W(\frac{dL}{dt} )\\\\\frac{dA}{dt} = 15 \ cm(8\ \frac{ cm}{s} ) \ + \ 7 \ cm(7\ \frac{ cm}{s} ) \\\\\frac{dA}{dt} = 120 \ cm^2/s \ + \ 49 \ cm^2/s\\\\\frac{dA}{dt} = 169 \ cm^2/s[/tex]
Therefore, the area of the rectangle is increasing at a rate of 169 cm²/s
Write 0.851 as a fraction in simplest form.
Answer:
[tex]\frac{851}{1000}[/tex]
Step-by-step explanation:
First, we can simply multiply that number by 1000, and divide again by 1000 to get a base fraction:
[tex].851\\\\= \frac{1000}{1000} \times .851\\\\= \frac{1000 \times .851}{1000}\\\\= \frac{851}{1000}[/tex]
851 is a secondary prime, having only two factors, both of which are prime. Those factors are 23 and 37, neither of which is a factor of 1000, so this is already in simplest form.
an interest expense of $125 has been incorrectly debited to utilities expense.
Answer:
125x=(62.50+(62.50)×0
Prove this plzzz help me
Answer:
Answer is in the picture. have a look
Find the slope of the line that passes through the two points 2,-4 & 4,-1
Answer:
Step-by-step explanation:
I have this saved on my computer in notepad b/c this type of question get asked sooo often :/
point P1 (-4,-2) in the form (x1,y1)
point P2(3,1) in the form (x2,y2)
slope = m
m = (y2-y1) / (x2-x1)
My suggestion is copy that above and save it on your computer for questions like this
now use it
Point 1 , P1 = (2,-4) in the form (x1,y1)
Point 2 , P2 = (4,-1) in the form (x2,y2)
m = [ -1-(-4) ] / [ 4-2]
m = (-1+4) / 2
m = 3 / 2
so now we know the slope is 3/2 :)
Factor 2x2+25x+50. Rewrite the trinomial with the x-term expanded, using the two factors.
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Answer:
rewrite: 2x^2 +5x +20x +50factored: (x +10)(2x +5)Step-by-step explanation:
I find this approach the most straightforward of the various ways that trinomial factoring is explained or diagramed.
You want two factors of "ac" that have a total of "b". Here, that means you want factors of 2·50 = 100 that have a total of 25. It is helpful to know your times tables.
100 = 1·100 = 2·50 = 4·25 = 5·20 = 10·10
The sums of these factor pairs are 101, 52, 29, 25, and 20. We want the pair with a sum of 25, so that's 5 and 20.
The trinomial can be rewritten using these factors as ...
2x^2 +5x +20x +50
Then it can be factored by grouping consecutive pairs:
(2x^2 +5x) +(20x +50) = x(2x +5) +10(2x +5) = (x +10)(2x +5)
_____
Additional comment
It doesn't matter which of the factors of the pair you write first. If our rewrite were ...
2x^2 +20x +5x +50
Then the grouping and factoring would be (2x^2 +20x) +(5x +50)
= 2x(x +10) +5(x +10) = (2x +5)(x +10) . . . . . same factoring
a pie chart is divided into four sectors in fig. 12.42. Each sector represents a percentage of the whole. The two larger sectors are equal and each represents x%. What is the angle subtended by one of those larger sectors ?
Answer:
Angle formed by the sector measuring x% will be 126°.
Step-by-step explanation:
Since, sum of all sectors formed in a circle is 100%.
By adding the measures of all the sectors,
x + x + 21 + 9 = 100
2x + 30 = 100
2x = 70
x = 35%
Now we know sum of all the central angles formed at the center of a circle = 360°
Therefore, angle formed by x% = 360° × 35%
= [tex]\frac{360\times 35}{100}[/tex]
= 126°
Which function has no horizontal asymptote?
Answer:
[tex]{ \tt{f(x) = \frac{x - 1}{3x} }}[/tex]
Answer:
c
Step-by-step explanation:
edge
X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7 is:_________
a. 0.0069
b. 0.000
c. 0.4931
d. 0.9931
Answer:
0.0069
Step-by-step explanation:
According to the Question,
Given That, X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7We have, μ=22 , σ= 5 , P(X<9.7)=Area to the left of 9.7.
Z = (x-μ)/σ
Z = (9.7-22) / 5 ⇒ -2.46
Thus,
P(X<9.7)=P(Z < -2.46) ⇒ 0.0069 (From z-table)One hundred sixty people were surveyed and asked if believed in ufos, ghosts, and bigfoot. 42 believed in ufos 45 believed in ghosts 21 believed in bigfoot 11 believed in ufos and ghosts 6 believed in ghosts and bigfoot 4 believed in ufos and bigfoot 2 believed in all three how many people surveyed believed in at least one of these ?
Answer:
[tex]P(A\cup B \cup C)=89[/tex]
Step-by-step explanation:
From the question we are told that:
Believed in UFO's [tex]A=42[/tex]
Believed in Ghosts [tex]B=45[/tex]
Believed in Bigfoot [tex]C=21[/tex]
Believed in UFO's & Ghosts [tex]A&B=11[/tex]
Believed in Ghosts & Bigfoot [tex]B&C=6[/tex]
Believed in UFO's & Bigfoot [tex]A&B=4[/tex]
Believed in ALL [tex]A&B&C=2[/tex]
Generally with a well detailed Set diagram of the Number of People that that believed in at least one of them is mathematically given by
[tex]P(A\cup B \cup C)=n(A\cap C)-n(B\cap C) +n(A\cap B \cap C)[/tex]
[tex]P(A\cup B \cup C)=42+45+21-11-6-4+2[/tex]
[tex]P(A\cup B \cup C)=89[/tex]
the diagram shows a regular dodecagon. a) work out the size of one interior angle. b) work out the size of one exterior angle.
Answer: Interior angle: 150 degrees Exterior angle: 30 degrees
Step-by-step explanation:
We use the angle formula to find the value of an interior angle: 180*(12-2)/12 = 150 degrees. Since an exterior angle is the supplement of an interior angle, the measure of an exterior angle is 180 - 150 = 30 degrees
it's tooooo easy who wants brain list
Answer:
1) Isosceles
2) Acute
3) Right angled
4( Obtuse
5) Equilateral
The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) + 10. Which shows the graphs of f(x) and g(x)? On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60). On a coordinate plane y = f (x) starts at (0, 50) and curves up through (10, 60). y = g (x) starts at (0, 40) and curves up through (10, 50). On a coordinate plane, y = f (x) starts at (0, 50) and curves up through (10, 60). Y = g (x) starts at (10, 50) and curves up through (20, 60). On a coordinate plane, y = g (x) starts at (negative 10, 50) and curves up through (0, 60). Y = f (x) starts at (0, 50) and curves up through (10, 60). Mark this and return
Answer:
Graph A
Step-by-step explanation:
correct answer on edge :)
The statement that represents the graphs of the functions f(x) and g(x) : On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).
What is a function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."For given question,
The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x.
If each of the x objects increases its sound power by 10 decibels, then the new total sound power, in decibels, is given by the function
g(x) = f(x) + 10.
The graph of the function f(x) would starts at (0, 50)
For x = 10 the value of the function f(x) would be,
f(10) = 50 + 10 log (10)
f(10) = 50 + 10 (1)
f(10) = 60
This means, the graph of the function f(x) passes though point (10, 60)
Also, the graph of the function g(x) would starts at (0, 60)
For x = 10 the value of the function g(x) would be,
g(10) = f(10) + 10
g(10) = 60 + 10
g(10) = 70
This means, the graph of the function g(x) passes though point (10, 70)
Therefore, on a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60).
Learn more about the graph of a function here:
https://brainly.com/question/27757761
#SPJ2
Mathematics I need help
Answer:
B
Step-by-step explanation:
Exclude C:
[tex] |x| [/tex]
is not curved
To shift right, minus inside the
[tex] |?| [/tex]
Thus
[tex] |x - 4| [/tex]
To shift up, add outside the
[tex] |?| [/tex]
Thus:
[tex] |x +4| + 2[/tex]
B
Brainliest please~
If h(x) is the parent function, which equation describes the function song shifted 3 units left and 5 units down?
Answer:
h(x + 3) - 5Step-by-step explanation:
Given function h(x).
Shift left:
h(x) → h(x + 3)Shift down:
h(x + 3) → h(x + 3) - 5Given function is,
→ h(x)
As we shift left,
→ h(x) = h(x + 3)
As we shift down,
→ h(x + 3) = h(x+3)-5
Then the equation is,
→ h(x+3)-5
It is correct answer.
You paid $6.99 for a shirt that was 70% of what was the original price of the shirt?
Answer:
$23.3
Step-by-step explanation:
you can use ratios to solve this:
$6.99/x=0.30/0.100 then cross multiply to get 0.3x=6.99
So, 6.99 divided by 0.3 = 23.3
so the original price is $23.3
At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of adults to boys at the school dance?
Answer:
14 to 132
Step-by-step explanation:
We are given that there are 132 boys and 14 adults. Since the question is only asking for the ratio of adults to boys, we don't have to worry about the number of girls in this question. From here, we see that the question is asking for the ratio of adults to boys, so we put it in that exact order. Our answer is 14 to 132. I hope this helps and please don't hesitate to reach out with more questions!
What is the number of degrees of freedom that should be used for finding the critical value
Answer:
tow degree of freedom.
this inform I know that from vibration method
The factorization of (x+y)^2+2(x+y)+1 is
please answer
Answer:
[tex](x + y+ 1)^2[/tex]
Step-by-step explanation:
[tex]Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 \times 1 \times (x+y)) + 1^2\\\\= (x +y+ 1)^2[/tex]
Step-by-step explanation:
Using:(a+b) ² =a²+2ab+b²
Hope it is helpful to you
Show process!!!!!!!
Thank you
======================================================
Work Shown:
We can apply the law of cosines
a^2 = b^2+c^2-2*b*c*cos(A)
(sqrt(5))^2 = (sqrt(2))^2+(3)^2-2*(sqrt(2))*(3)*cos(A)
5 = 2+9-6*(sqrt(2))*cos(A)
5 = 11-6*(sqrt(2))*cos(A)
11-6*(sqrt(2))*cos(A) = 5
-6*(sqrt(2))*cos(A) = 5-11
-6*(sqrt(2))*cos(A) = -6
(sqrt(2))*cos(A) = -6/(-6)
(sqrt(2))*cos(A) = 1
cos(A) = 1/(sqrt(2))
cos(A) = sqrt(2)/2
A = 45 degrees
Use the unit circle for the last step.
Interestingly, this triangle has only one angle that is a whole number. The other two angles are approximate decimal values.
The 2010 GSS provides the following statistics for the average years of education for lower-, working-, middle-, and upper-class respondents and their associated standard deviations. Assume that years of education are normally distributed in the population. Mean Standard Deviation N Lower-class 11.61 2.67 123 Working-class 12.80 2.85 697 Middle-class 14.45 3.08 626 Upper-class 15.45 2.98 38 How many years of education correspond to a Z score of +1.2 for upper-class respondents?
Answer:
The answer is "18.087 years".
Step-by-step explanation:
For upper class:
[tex]\mu=15.45 \ years\\\\\alpha=2.98 \ years\\\\[/tex]
[tex]P(Z \leq 1.2)[/tex] from the standard normal distribution on the table:
[tex]P(Z \leq 1.2) =0.8849\\\\x=z_{\alpha}+\mu\\\\[/tex]
[tex]=0.8849 \times 2.98 +15.45\\\\ = 2.637002+15.45 \\\\=18.087 \ \ years\\[/tex]
please show me step by step how to simplify this equation
Answer:
1-x^2/x^3 - 1 = 1/x
Step-by-step explanation:
First rewrite x^3 as x^2 * x cancel x^2 in both numerator and denominator.
Write below
1 - 1/x - 1
Subtract
1 - 1 = 0
now simplify
1 -1 /x - 1 = 1/x
1/x = Answer
Can you Understand
Four complex numbers lie at the vertices of a square in the complex plane.
Three of the numbers are 1 + 2i, -2 + i and -1 – 2i. What is the fourth
number?
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Answer:
2 -i
Step-by-step explanation:
The two diagonals have the same center point. Here, it is ...
(1 +2) +(-1 -2i) = 0 +0i
The fourth point is found by reflecting the 2nd point across the origin:
p4 = -p2 = -(-2 +i) = 2 -i . . . . . fourth corner of the square
the complement of guessing 5 correct answers on a 5 question true or false examination is
Answer:
Guessing at least one incorrect answer
Step-by-step explanation:
The complement of guessing 5 correct answers on a 5-question true/false exam is-
Guessing at least one incorrect answer because, when 1 or more questions are incorrectly guessed, the event of 5 correct answers can not occur.
How do I find the missing number?
Answer:
to find the missing number is all u have to do is understand the problem and silve the problem!
Step-by-step explanation:
paki brainly po
Sarah ordered 39 shirts that cost $8 each. She can sell each shirt for $16.19. She sold 32 shirts to customers. She had to return 7 shirts and pay a $1.4 charge for each returned shirt. Find Sarah's profit.
Answer:
$196.28
Step-by-step explanation:
Original cost: 39 × $8 = $312
Revenue: 32 × $16.19 = $518.08
Return charge: 7 × $1.4 = $9.8
$312 + $9.8 = total cost, which is $321.8
$518.08 - $321.8 = profit
Profit = $196.28
Need help with this one please
it right answer is Clovis 2.5% it answer
Mr. Pinter's class has twice as many students as Mrs. Rupert's class. Mrs. Althouse's class has 20 less than three times Mrs. Rupert's class. Together they have 106 students. How many are in each class?
Answer:
Mr. Pinter's class has 42 students, Mrs. Rupert's class has 21 students, and Mrs. Althouse's class has 43 students.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Mr. Pinter's class has x students.
Mrs. Rupert's class has y students.
Mrs. Althouse's class has z students.
Mr. Pinter's class has twice as many students as Mrs. Rupert's class.
This means that:
[tex]x = 2y[/tex]
Mrs. Althouse's class has 20 less than three times Mrs. Rupert's class.
This means that:
[tex]z = 3y - 20[/tex]
Together they have 106 students.
This means that:
[tex]x + y + z = 106[/tex]
We have x and z has a function of y, so:
[tex]2y + y + 3y - 20 = 106[/tex]
[tex]6y = 126[/tex]
[tex]y = \frac{126}{6}[/tex]
[tex]y = 21[/tex]
And:
[tex]x = 2y = 2(21) = 42[/tex]
[tex]z = 3y - 20 = 3(21) - 20 = 63 - 20 = 43[/tex]
Mr. Pinter's class has 42 students, Mrs. Rupert's class has 21 students, and Mrs. Althouse's class has 43 students.
8. Calculate the Perimeter AND Area of
the RIGHT Triangle below.
17 m
10 m
21 m
Answer:
[tex]\text{Perimeter: }48\:\mathrm{m},\\\text{Area: }84\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]s=\frac{a+b+c}{2}[/tex]
Substituting [tex]a=21, b=17, c=10[/tex], we have:
[tex]A=\sqrt{24(24-21)(24-17)(24-10)},\\A=\sqrt{24(3)(7)(14)},\\A=\sqrt{7,084},\\A=\boxed{84\:\mathrm{m^2}}[/tex]
The perimeter of a polygon is given by the sum of its sides. Since the triangle has sides 10, 17, and 21, its perimeter is [tex]10+17+21=\boxed{48\:\mathrm{m}}[/tex].
What is this expression in simplified form?
Answer:
16 √(3)
and then the decimal form if needed is: 27.7128129211
Step-by-step explanation:
