Answer:
[tex]6.56\times10^{-7}[/tex]
Step-by-step explanation:
[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation
[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]
Then isolating [tex]x[/tex] you have
[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]
A scrapbooking store is selling rubber stamps for four dollarsand $4.95 each. The total sales F(n) is a function of the number of rubber stamps n sold
A. Identify the independent and dependent variables
B. What values of the domain and range make sense for this situation? explain
C. Write a function to represent the total sales. Then determine the total sales for five stamps
A. Independent variable: number of rubber stamps n sold. Dependent variable: F(n), the total sales.
B. Only whole numbers. It is impossible to have negative and/or fractional stamps.
C. F(n) = $4.95n, which is 4.95 times n.
So, plugin 5 for n
[tex]f(5)= \$4.95(5)[/tex]
F(n) = $24.75
Find (fog)(x) (gof)(x), if f(x) = 1 - 5x; g (x) = |2x + 3| x
Step-by-step explanation:
f (x) = 1 - 5x
g (x) = 2x + 3
find (fog) (x)
it's a composite function so basically we substitute x = 2x + 3 where we see x in f (x) = 1 - 5x
so doing that we'll get
1 - 5(2x + 3)
next expand your brackets
1 - 10x + 15
equate to 0 to make things easier
1 - 10x + 15 = 0
make x the subject
1 + 15 = 10x (this is the same as 10x = 1 + 15)
x = 16/10 (you can leave it as a fraction)
fog(x) = 16/10
find gof (x)
we'll do the same thing again
2(1-5x) + 3
2 -10x + 3 = 0
2 + 3 = 10x
10x = 5
x = 5/10 (reduce)
x = 1/2
gof (x) = 1/2
Find the GCF of the set of numbers.
8 and 12
Enter the correct answer in the box.
Answer:
4
Step-by-step explanation:
prime factorization of 8 is 2x2x2
prime factorization of 12 is 2x2x3
2x2 are the only common factors, therefore GCF is 4
Answer:
4 is the GCF
Step-by-step explanation:
12/4 = 3
8/4 = 2
10 students volunteer to help fold paper stars for a charity project. If an additional 5 students help out, they will be able to finish the job 3 days earlier. The number of days required to finish the job is inversely proportional to the number of students who help out. Find the additional number of students needed to help out in order to finish the job 4 days earlier.
Answer:
Above is the step-by-step solution.
Find the slope of the line that passes through (2,3) and point (4,4)) using m=y2-y1/x2-x1
Answer: The slope is 1/2 or 0.5
GIVING BRAINLIEST
In the figure below, if AB=11√7 , what is CD?
CD is 11 square root of 14.
The measure of the side length CD in the given right angled triangle as per the measurements is equal to option C. 11√14 .
In right triangle ABE,
Measure of angle ABE = 90 degrees
Measure of angle AEB = 60 degrees
AB = 11√7
Using trigonometric ratio we have,
tan 60° = AB / BE
⇒ √3 = 11√7 / BE
⇒ BE = 11√7 / √3
⇒BE = 11√21 / 3
In right triangle BED,
Measure of angle BED = 90 degrees
Measure of angle EBD= 45°
⇒Measure of angle EDB= 45°
BE ≅ ED
BE = 11√21 / 3
⇒ED = 11√21 / 3
Using Pythagoras theorem,
BD² = BE² + ED²
⇒BD = √ 2 (11√21 / 3 )²
⇒BD = 11√21 / 3 × √2
⇒ BD = 11√42 / 3
In right triangle CDB,
Measure of ∠CDB = 90°
Measure of ∠DCB = 30°
tan 30° = BD / CD
⇒ ( 1/ √3) = 11√42 / 3 / CD
⇒ CD = [11√42 / 3 ] × √3
⇒ CD = 11√14
Therefore, the length of the side CD in the triangle is equal to option C. 11√14 .
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The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?
Answer:
17.5 Ounces
Step-by-step explanation:
14/100=.14 .14x25=3.5 14+3.5=17.5
PLZ HELP ME with this hw
Find the value of x and angle AKB
4. Solve the equation.
5n + 1
1
8
2
n=
(type the fraction as a/b with no spaces)
Answer:
=1187n
Step-by-step explanation:
5n+1182n=?
=1187n
I need help hurry plzzzzzz
Answer if u know will mark brainliest
Answer: Die with memories, not dreams. – Unknown
Step-by-step explanation: Go make some good memories! Be yourself
solve pls brainliest
Answer:
1) No it repeating
2)No it doesn't terminate nor repeat
3) yes this terminates
4) no its repeating
Step-by-step explanation:
What is differentiation ?
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
in figure below, lines r and s are parallel. If the m<1=47° , find:
Answer:
<3 = 47 degrees
<4 = 133 degrees
<5 = 47 degrees
<6 = 133 degrees
<7 = 47 degrees
<8 = 133 degrees
Angles 1 = 3 = 5 = 7 (vertical angles
Step-by-step explanation:
the value if /14-15/ is
Answer:
1
Step-by-step explanation:
/14-15/
/-1/
1(because absolute value of any real number is always positive and for zero itself zero)
Is the equations true.false.or open? x+3=5
Answer:
true
Step-by-step explanation:
i just plugged in 2 for x. 40% chance im right lol
Answer:
true
Step-by-step explanation:
Which one is linear or nonlinear?
Answer:
broo I have to download it just take a screenshot.....
plss help me with this:(((((
The answer for the first question is A
The answer the second question is D
Step-by-step explanation:
so, let's look at the options.
A. (x+3)/x = 3
that hurts already by just looking at it.
but let's check anyway :
x + 3 = 3x
3 = 2x
and that is only true for one value of x (3/2), but not in general.
so, this is wrong.
B. (x²+5)/5 = x² + 1
x² + 5 = 5x² + 5
x² = 5x²
that is only true for one value of x (0), but not in general.
so, this is wrong.
C. (2x+7)/(2x+9) = 7/9
9(2x+7) = 7(2x+9)
18x + 63 = 14x + 63
4x = 0
that is only true for one value of x (0), but not in general.
so, this is wrong.
D. (-5x - 10)/(x+2) = -5
-5x - 10 = -5(x + 2) = -5x - 10
now this is true in all cases, so this is correct.
make simple :
(a² - 4a + 4) / (a² - 4)
with a little bit of experience you see right away that
a² - 4a + 4 = (a - 2)²
as we know from the generic squaring
(a - b)² = a² - 2ab + b² : a perfect fit.
and
(a² - 4) = (a + 2)(a - 2)
as we know from the generic factor multiplying
(a+b)(a-b) = a² + ab - ab - b² = a² - b² : a perfect fit.
so, the given expression is actually
(a - 2)² / ((a - 2)(a + 2)) = ((a-2)(a-2)) / ((a-2)(a+2))
and so, after eliminating one (a-2) term in the numerator and in the denominator the following remains :
(a - 2) / (a + 2)
and that is answer A
Yara is trying to find the best price for 8 notebooks.
If 2 notebooks cost $14.00 at Barnyard Books, and 5 notebooks cost $20.00 at The Bookworm, how many dollars will Yara save if she buys 8 notebooks from The Bookworm instead of Barnyard Books?
Answer:
Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books.
Step-by-step explanation:
if 2 notebooks = $14.00, then, 14 ÷ 2 = $7.00
Therefore, 1 notebook at Barnyard book is $7.00
She bought 8, so 8×7 = $ 56.00
> She will spend $56.00 at Barnyard book
while at bookworm, 5 notebooks cost $20.00
> 20 ÷ 5 = $4.00
Therefore, 1 notebook at bookworm cost $4.00
She bought 8, so 8×4 = $32.00
> She will spend $32.00
Subtract the total amount that she'll spend on both stores
$ 56.00 - $ 32.00 = $ 24.00
Therefore, Yara will save $24.00 if she buys 8 notebooks from bookworm instead of barnyard books
70% of Hassan's collection of goldfish died. if he has 60 survivors, how many did he have originally?
Hassan originally had 200 goldfish
Step-by-step explanation:
Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.
Answer:
200goldfish
Step-by-step explanation:
since 30percent(100_70)is60 what about 100percent
100percent/30percent multiplied by 60goldfish=200
Therefore the answer is 200goldfish
what is the equation to solve this
Answer:
p=(180.50-19.50)/23
Step-by-step explanation:
HELPPPPPPP
Find the value of x for both
Answer:
x = 18 and x = 30
Step-by-step explanation:
The 3 angles lie on a straight line and sum to 180° , that is
90 + x + 4x = 180
90 + 5x = 180 ( subtract 90 from both sides )
5x = 90 ( divide both sides by 5 )
x = 18
-------------------------------------
The 2 angles are corresponding and congruent , then
x = [tex]\frac{1}{2}[/tex] x + 15 ( multiply through by 2 to clear the fraction )
2x = x + 30 ( subtract x from both sides )
x = 30
Answer:
1. x=18 2. x=30
Step-by-step explanation:
For 1. the equation would be x+4x =90 as it is a 90 degree angle
So 5x=90 then x = 18
For 2. The 2 angles are the same so we set them equal to each other
x=1/2x+15
2x=x+30
x=30
how to graph f(x)=2x^2-2
Answer:
ASWKT TAKING X AS ANY NO.
X=1
by substituting we get answer as 2,0
Step-by-step explanation:
mark as brainliest
PLS HELP ME QUICKLY THANK U :) :()
Answer:
x = 1/2 or x = 2/3
Step-by-step explanation:
6x^2 = 7x - 2
=> 6x^2 - 7x + 2 = 0
=> 6x^2 - 3x - 4x + 2 = 0
=> 3x (2x - 1) -2 (2x - 1) = 0
=> (2x - 1) (3x - 2) = 0
2x - 1 = 0
=> 2x = 1
=> x = 1/2
or
3x - 2 = 0
=> 3x = 2
=> x = 2/3
Hopefully this helps!!
Answer:
x = [tex]\frac{2}{3}[/tex] , x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6x² = 7x - 2 ( subtract 7x - 2 from both sides )
6x² - 7x + 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × 2 = 12 and sum = - 7
The factors are - 3 and - 4
Use these factors to split the x- term
6x² - 3x - 4x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(2x - 1) - 2(2x - 1) = 0 ← factor out (2x - 1) from each term
(2x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Find the value of each variable.
I have been stuck on these for a week now. Please help.
Answer:
Step-by-step explanation:
the varible would be x
Which of the following statements justifies why the triangle shown below is not a right triangle?
Z
O A. 42 +122132
OB. YZ + XZ > XY
OC. XZ
O D. YZ
SUBMIT
please help
None of the options are correct. And the given triangle is a right-angle triangle.
Given that,
Which of the following statements justifies why the triangle shown below is not a right triangle is to be determined.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Here,
A triangle that follows the Pythagoras theorem, are right an angles triangle,
For the given triangle,?
13² = 4² + 12²
169 = 25 + 144
169 = 169
So, the given triangle holds the property of Pythagoras' theorem,
Thus, None of the options are correct. And the given triangle is a right-angle triangle.
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Solve for j.
3j+1≥10
67 points
:D
3j+1≥10
Subtract 1 from both sides.
3j ≥ 9
Then divide both sides by 3.
j ≥ 3
An online clothing company sells custom sneakers. The company charges $26.50 for each pair of shoes and a flat fee of $3.99 for shipping. Write a linear function that represents the total cost, y, in dollars, for a single order of x sneakers.
Answer:
6.50x + 3.99
Step-by-step explanation:
Every order of sweat shirts is charged $3.99
Each individual sweatshirt costs $6.50 therefore x being the number purchased times $6.50 is the cost of the sweatshirts that plus the 3.99 is your total cost.
Slope of parallel and perpendicular lines
Answer:
-1
Step-by-step explanation:
They already did the opposite reciprocal for you.
They have it in the form now.
To find b you just enter (x,y)=(8,1).
Let's do that.
Subtract 2 on both sides:
b=-1
Solve the equation for all real solutions in simplest form.
3x2 - 12x + 11 = x
Answer:
(13 + or - (sign) square root(37)) / 6
Step-by-step explanation:
First search up the quadratic formula which is
x = (- b + or - square root(b^2 - 4ac)) / 2a
and to find a, b, and c you need this formula
ax^2 + bx + c = 0 (btw this is the safest solution to finding your answer with a number in-front of a quadratic equation.)
Math:
a = 3, b = -13, c = 11
b = -13, because of the x on the other end of the equation as the equation above "ax^2 + bx + c = 0" you need the zero to proceed to this next step.
Side Note: You only take the number and not the variable, variables are x, y, w, z, or etc.
(- (- 13) + or - square root((-13)^2 - 4(3)(11) ) ) / 2 * 3
13 + or - square root(37) / 6