Final answer:
To convert 134.7 grams to milligrams, multiply by the conversion factor of 1000, resulting in 134700 milligrams.
Explanation:
To complete the statement 134.7 g = blank mg, one needs to understand the conversion between grams and milligrams. There are 1000 milligrams (mg) in 1 gram (g). When converting from a larger unit to a smaller unit, we multiply by the conversion factor. Therefore, multiplying 134.7 g by 1000 gives us the equivalent number of milligrams.
134.7 g × 1000 = 134700 mg
Thus, 134.7 g is equal to 134700 mg.
if f(x) = 4x + 3 and g(x) = √x-9 ,
which statement is true?
A.) 2 is in the domain of f ° g
B.) 2 is NOT in the domain of f ° g
Answer: Option B
2 is NOT in the domain of f ° g
Step-by-step explanation:
First we must perform the composition of both functions:
If [tex]g(x) = \sqrt{x-9}[/tex] and not [tex]\sqrt{x} -9[/tex]
[tex]f (x) = 4x + 3\\\\g (x) = \sqrt{x-9}\\\\f (g (x)) = 4 (\sqrt{x-9}) + 3[/tex]
The domain of the composite function will be all real numbers for which the term that is inside the root is greater than zero. When x equals 2, the expression within the root is less than zero
[tex]f (g (x)) = 4 (\sqrt{2-9}) + 3\\\\f (g (x)) = 4 (\sqrt{-7}) + 3[/tex]
The root of -7 does not exist in real numbers, therefore 2 does not belong to the domain of f ° g
The answer is Option B.
Note. If [tex]g(x) = \sqrt{x}-9[/tex]
So
[tex]f(g(x)) = 4(\sqrt{x})-36 + 3[/tex] And 2 belongs to the domain of the function
Which of the following statements about closure is false?
Answer:
Option C is false.
Step-by-step explanation:
The correct answer is:
C. Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
This is false because sometimes when we divide polynomials, one polynomial does not gets completely or evenly divided by the other.
In such cases, we get a remainder which is not a monomial as the variable has a negative power. This means the quotient is not a polynomial.
We can show this by example : suppose we want to divide
[tex]x^{-6}[/tex]by [tex]x^{2}[/tex]
=> [tex]\frac{x^{-6} }{x^{2} }[/tex]
=> [tex]x^{-6-2}[/tex] =>[tex]x^{-8}[/tex]
This is not a polynomial. So the closure property does not hold true for division of polynomials.
I need help please.
Answer:
i think this is it
Step-by-step explanation:
the answer i got is just 55
what is
40π=5⁄18πr2
(5/18 is a fraction and 2 is an exponent)
r1 = -12 and r2 = 12
[tex]\bf 40\pi =\cfrac{5}{18}\pi r^2\implies 40\pi =\cfrac{5\pi r^2}{18}\implies 720\pi =5\pi r^2\implies \cfrac{720\pi }{5\pi }=r^2 \\\\\\ 144=r^2\implies \sqrt{144}=r\implies 12=r[/tex]
yo my broski what's up
Answer:wazz up
Step-by-step explanation:
yooo what’s up dude
Plz help me with this
Answer:
This is exponential growth
Step-by-step explanation:
The amount by which the function is increasing from point to point is increasing, so it must be a quadratic or exponential function. If it was a quadratic, the amount it increases by would be increasing by a steady amount. (Ex. x^2 increases by how much it increased the last time + 2). But because this is not what the data shows, the function must be exponential.
Answer: Exponential
Step-by-step explanation:
Find the slope of each tier:
2.654 6.290 14.909 35.335
∨ ∨ ∨
3.636 8.619 20.426 ← not equal so not linear
∨ ∨
4.983 11.807 ← not equal so not quadratic
We have run out of slopes to compare so the options are either exponential or logarithmic.
Refer to the graph below that contains the given coordinates. Since there is no apparent asymptote, it appears to be exponential.
(25 pts)
Which below is largest when evaluated?
A. 8P5
B. 9P1
C. 9P6
D.8P1
Please select the best answer from the choices provided
A
B
C
D
Answer:
C. 9P6
Step-by-step explanation:
Given choices are :
A. 8P5
B. 9P1
C. 9P6
D.8P1
Now we need to find about which below is largest when evaluated.
So let's evaluate them using formula:
[tex]nPr=\frac{n!}{\left(n-r\right)!}[/tex]
[tex]8P5=\frac{8!}{\left(8-5\right)!}=\frac{8!}{\left(3\right)!}=6720[/tex]
[tex]9P1=\frac{9!}{\left(9-1\right)!}=\frac{9!}{\left(8\right)!}=9[/tex]
[tex]9P6=\frac{9!}{\left(9-6\right)!}=\frac{9!}{\left(3\right)!}=60480[/tex]
[tex]8P1=\frac{8!}{\left(8-1\right)!}=\frac{8!}{\left(7\right)!}=8[/tex]
Largest value among those numbers is 60480.
Hence correct choice is C. 9P6
find the distance between the points (0,8) amd (8,5)
Answer:
[tex]d=\sqrt{73}[/tex]
Step-by-step explanation:
Use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Plug in the points.
8 - 0 = 8
8^2 = 64
5 - 8 = -3
-3^2 = 9
64 + 9 = 73
[tex]d=\sqrt{73}[/tex]
3m + n =7
m + 2n = 9
Answer:
n = 4, m = 1
Step-by-step explanation:
Given the 2 equations
3m + n = 7 → (1)
m + 2n = 9 → (2)
Rearrange (2) expressing m in terms of n, by subtracting 2n from both sides
m = 9 - 2n → (3)
Substitute m = 9 - 2n into (1)
3(9 - 2n) + n = 7 ← distribute left side
27 - 6n + n = 7 ← simplify left side
27 - 5n = 7 ( subtract 27 from both sides )
- 5n = - 20 ( divide both sides by - 5 )
n = 4
Substitute n = 4 into (3) for corresponding value of m
m = 9 - (2 × 4) = 9 - 8 = 1
Thus m = 1 and n = 4
Leah loves chicken wings and is comparing the deals atThree different restaurants Buffalo Bills has eight wings for seven dollars Buffalo wild wings have 12 wings for $10 fingers has 20 wings for $17 which restaurant offers the lowest price per wing
Buffalo Bills has the lowest price per wing. To find the answer divide the number of wings by the price to see how much it is per wing.
Buffalo Wild Wings offers the lowest cost per wing at $0.833, compared to $0.875 at Buffalo Bills and $0.85 at Fingers.
Buffalo Bills: 8 wings for $7 means $7 ÷ 8 wings = $0.875 per wing.Buffalo Wild Wings: 12 wings for $10 means $10 ÷ 12 wings = $0.833 per wing.Fingers: 20 wings for $17 means $17 ÷ 20 wings = $0.85 per wing.Comparing these values, Buffalo Wild Wings offers the lowest cost per wing at $0.833.
According to synthetic division below, which of the following statements are true ?
ANSWER
C
E
F
EXPLANATION
The result of the synthetic division is :
3 -1 0
The last number is the remainder which is 0
The first two numbers are the coefficients of the quotient.
Therefore the quotient is 3x -1
Since the remainder is 0, x-4 is a factor of
[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]
This also means that:
[tex](3 {x}^{2} - 13x + 4) \div (x - 4) = 3x - 1[/tex]
This again means that x=4 is a root of
[tex]f(x) = 3 {x}^{2} - 13x + 4[/tex]
The correct choices are C,E and F.
please help ASAP will give brainlist.
Which of the following statements is always true when parallel lines are cut by a transversal?
A. The sum of the degree measure of corresponding angles is 180°.
B. Corresponding angles are congruent.
C. The angles in a vertical pair are a cute.
D. The sum of the degree measure of complementary angles is 180°.
Answer:
B
Step-by-step explanation:
Corresponding angles are not always congruent
Corresponding angles are congruent.
Answer is B.
Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?
A. y-6=-1/3(x-2)
B. y-2=1/3(x-6)
C. y-2=3(x-6)
D. y-6=-3(x-2)
E. y-2=-3(x-6)
Answer:
C
Step-by-step explanation:
[tex] \frac{ - 1}{3} \times a = -1[/tex]
then
[tex]a = 3 \: where \: a \: is \: our \: line \: slope[/tex]
Answer:
[tex]\boxed{\text{C. } y - 2 = 3(x - 6)}[/tex]
Step-by-step explanation:
The slope of the perpendicular line m₂ must be the negative reciprocal of the slope m₁ of the first line.
[tex]m_{2} = -\dfrac{1}{m_{1}} = -\dfrac{1}{-\frac{1}{3}} = 3[/tex]
The only equation with m = 3 is
[tex]\boxed{\textbf{C. } y - 2 = 3(x - 6)}[/tex]
This is the point slope form of the equation for a straight line through (6, 2) with slope = 3.
What is the sum of the angel measures of a triangle ?
All triangles equal 180 degrees.
The answer is 180 degrees.
The value of √13 is between _____.
2 and 3
3 and 4
4 and 5
5 and 6
Answer: Second option.
Step-by-step explanation:
The square root of a number "x" is a number "b" that multiplied by itself is "x":
[tex]b*b=x[/tex]
We know that the square root of 16 is 4 ([tex]\sqrt{16}=4[/tex]) because:
[tex]4*4=16[/tex]
Then [tex]\sqrt{13}[/tex] should be less than 4.
We know that the square root of 9 is 3 ([tex]\sqrt{9}=3[/tex]) because:
[tex]3*3=9[/tex]
Then [tex]\sqrt{13}[/tex] should be greater than 3.
Therefore, the value of [tex]\sqrt{13}[/tex] is between 3 and 4.
This matches with the second option.
Hello Brainly Student! Your answer is 3 and 4! Hope this helped!!
A dogs leash allows him to walk in a circle the leash is 6ft long what is the size of the yard inside the circle the dog can walk
Answer:
113.09733552923 in2
Step-by-step explanation:
The leash is basically the radius. If the radius is 6...
If you find the area of the circle using the formula πr square. π=3.14. you can do the rest.
solve the system x=3y+9 9-x=-3y
a) no solution
b) infinite solutions
c) (3,-1)
d) (0,3)
I believe I did this correctly. Comment to tell me if I didn't.
__________________________________
I got infinite solutions.
For the second problem, I subtracted 9 from both sides. Then I divided them all by -1. They are the same equations.
ANSWER
b) infinite solutions
EXPLANATION
The given system is:
x=3y+9 ...(1)
9-x=-3y...(2)
Put equation (1) into equation (2)
This implies that,
9-(3y+9)=-3y
Expand the parenthesis,
9-3y-9=-3y
-3y=-3y
1=1
This implies that, that the system has infinitely many solutions.
Evan correctly answers 80% of the total questions on his history test. He correctly answers 32 questions. What is the number of questions on Ethan’s history test?
Answer:
There are 40 total questions on his text.
Step-by-step explanation:
To find this, divide the number of questions he got right by the percentage of the total they represent.
32/80% = 40
Answer:
40?
Step-by-step explanation:
Please help please!!
Answer:
-6 I think
Step-by-step explanation:
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
None.
Distribute the 3 to the (x + 4) to get 3x + 12.
Subtract 3x from both sides to get 12 = 4.
This is not true, so there are no solutions.
what two numbers add to 5 and multiply to -3
Answer:
[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex] and [tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]
[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex] and [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
Step-by-step explanation:
Let the numbers be x and y.
We now have a system of equations.
x + y = 5
xy = -3
Solve the second equation for x.
x = -3/y
Now substitute x in the first equation with -3/y.
-3/y + y = 5
Multiply both sides by y.
-3 + y^2 = 5y
y^2 - 5y - 3 = 0
Use the quadratic formula to solve for y.
[tex] y = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] y = \dfrac{-(-5) \pm \sqrt{(-5)^2 - 4(1)(-3)}}{2(1)} [/tex]
[tex] y = \dfrac{5 \pm \sqrt{25 + 12}}{2} [/tex]
[tex] y = \dfrac{5 \pm \sqrt{37}}{2} [/tex]
[tex] y = \dfrac{5 + \sqrt{37}}{2} [/tex] or [tex] y = \dfrac{5 - \sqrt{37}}{2} [/tex]
[tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex] or [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
We get 2 solutions for y. Now for each solution for y, we need to find a corresponding solution for x.
Solve the first equation for x.
x + y = 5
x = 5 - y
Substitute each y value to find the corresponding x value.
[tex] x = 5 - (\dfrac{5}{2} + \dfrac{\sqrt{37}}{2}) [/tex]
[tex] x = 5 - \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
[tex] x = \dfrac{10}{2} - \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
This give one solution as:
[tex] x = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex] and [tex] y = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]
Now we substitute the other y value to find the other x value.
[tex] x = 5 - (\dfrac{5}{2} - \dfrac{\sqrt{37}}{2}) [/tex]
[tex] x = 5 - \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]
[tex] x = \dfrac{10}{2} - \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]
[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex]
This give the second solution as:
[tex] x = \dfrac{5}{2} + \dfrac{\sqrt{37}}{2} [/tex] and [tex] y = \dfrac{5}{2} - \dfrac{\sqrt{37}}{2} [/tex]
3. The annual property taxes on Patrick's new home
are 1.89% of the value of the home. His home costs
$183,500. What are the property taxes on his new
home?
$7,450
$1,890
$1,835
$3,468.15
$3,725
$3.468.15
I just subtracted 1.89% from $183,500
$3,468.15.
To calculate Patrick's annual property taxes on his new home, we need to apply the property tax rate of 1.89% to the value of the home. The formula to calculate this is:
Property Taxes = Home Value imes Tax Rate
In this case, Patrick's home value is $183,500 and the tax rate is 1.89%. So, the calculation would be:
Property Taxes = $183,500 times 0.0189
When we perform this multiplication, we get:
Property Taxes = $3,468.15
Therefore, the property taxes on Patrick's new home are $3,468.15.
PLZZZ HELP!!!
what is the slope of the line
Answer:
0
Step-by-step explanation:
The slope of a line is Change in y
--------------------
change in x
y does not change
0
------
change in x
Slope = 0
Horizontal lines have 0 slope
Vertical lines have undefined slope
the number of apple s juan eats and the numbers of hours he sleep each night represents what type of correlation
Positive
Median
Negative
No correlation
Answer:
No correlation
Step-by-step explanation:
With the information provided, we have to conclude there is no correlation, since there is no apparent link between the two information.
It would be a positive correlation for example if we knew that the more apples Juan eats, the more he sleeps (or vice-versa).
It could be a negative correlation if we found that the more apples he eats, the less hours of sleep he has (or vice-versa).
But in this instance, we don't have any data indicating there is any form of correlation between those two numbers.
Identify two values that have a value less than 3 what is the answer to this question?
Answer:
the answer is 2.9 x 10^0 and 3.2 x 10^-2
Step-by-step explanation:
10^0 is equal to 1 so 2.9 x 10^0 is really 2.9 times 1 which is less than 3
if i could get brainliest answer that would be great!
10^-2 is a exponential that makes a number go down so 3.2 going down is less than 3
Answer:
C and D
Step-by-step explanation:
A. 2.9 × 10¹ = 2.9 × 10 = 29
B. 3.2 × 10³ = 3.2 × 1000 = 3000
C. 2.9 × 10⁰ = 2.9 × 1 = 2.9
D. 3.2 × 10⁻² = 3.2 × 0.01 = 0.032
Both C and D have values less than 3.
Differentiate which of the following models best fits the data.
(-2,-1), (0,1), (1,2), (3,4), (5,6)
f(x) = – x2+ 2x - 3
f(x) = x + 1
f(x) = - x3 + x + 1
f(x) = (2)x
Answer:
Option B f(x) = x + 1
Step-by-step explanation:
The given points are
x y Relationship (x & y)
-2 -1 -2 + 1 = -1
0 1 0 + 1 = 1
1 2 1 + 1 = 2
3 4 3 + 1 = 4
5 6 5 + 1 = 6
As we can see the difference in x and y values of each ordered pairs is one
Therefore, relationship between x & y that can be represented by y = x + 1
Option B f(x) = x + 1 is the answer.
Need HELP ASAP!!!!!!
Answer:
The variation equation is
[tex] f = \frac{k.m_1.m_2}{ {r}^{2} } [/tex]
step-by-step explanation:
From the question, the two masses are
[tex]m_1 \: and \: m_2[/tex]
This implies that the product of the two masses
[tex] = m_1 \times m_2 = m_1.m_2[/tex]
Moreover, the force,f varies directly with the products of the two masses
[tex] \implies \: f\propto m_1.m_2....eqn.1[/tex]
Also, the force varies inversely with the square of the distance,r
[tex] \implies \: f\propto \frac{1}{ {r}^{2} }.......eqn.2[/tex]
Joining equation 1 and 2, we got
[tex] \implies \: f\propto \frac{1}{ {r}^{2}} \times m_1.m_2[/tex]
[tex] \implies \: f \propto\frac{m_1.m_2}{ {r}^{2}}[/tex]
But the constant of variation is k
Multiplying the right hand side of the equation by k, we got
[tex] \implies \:f=\frac{k.m_1.m_2}{ {r}^{2}}[/tex]
Which is equivalent to log2 n= 4?
Answer:
n = 16Step-by-step explanation:
[tex]\text{De}\text{finition of logarithm:}\\\\\log_ab=c\iff a^c=b\\\\\text{where}\ a>0\ \wedge\ a\neq1\ \wedge\ b>0\ \wedge\ c\in\mathbb{R}\\===========================\\\\\log_2n=4\iff n=2^4\\\\n=16[/tex]
Answer:
I don't know what answers you were given to your problem but I think the answer is
D) log n =4log2
Sorry if I got it wrong.
You can choose from three types of sandwiches for lunch and three types of juice. How many possible lunch combinations of sandwich and juice can you have?
Answer:
9
Step-by-step explanation:
The number of possible lunch combinations of sandwich and juice are 9.
If we have to choose r objects out of n objects and then arrange them among themselves, then we first choose the objects in ⁿCr ways and then arrange them in ways.
This can be used to find the number of different combinations possible of the sandwiches and juices.
Ways to select the sandwiches from 3 options = ³C₁ = 3!/1!(3-1)!
Ways to select the juice from 3 options = ³C₁ = 3!/1!(3-1)!
= ³C₁ = 3!/1!(3-1)!
Now, the total types of possible lunch combinations that can be created as 3×3=9
Hence, the number of possible lunch combinations of sandwich and juice are 9.
To learn more about the permutation and combination visit:
https://brainly.com/question/28065038.
#SPJ2
Evaluate 3C1.
a)3
b)1
c)2
d)6
Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows
[tex]nCr = \frac{n!}{r!(n-r)!}[/tex]
Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.
[tex]n = 3\\\\r = 1[/tex]
So :
[tex]3C1=\frac{3!}{1!(3-1)!}\\\\3C1=\frac{3!}{1!*2!}\\\\3C1=\frac{3*2*1}{1*2*1}\\\\3C1=3[/tex]