If x = 3.5414141…, then 10x = 35.414141… and 1000x = 3541.414141…. Then
1000x - 10x = 3541.414141… - 35.414141…
990x = 3506
x = 3506/990 = 1753/495
Line l in the xy-plane is perpendicular to the line
with equation x = 2. What is the slope of line l?
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is x = 2. Then the slope of the equation will be given as,
m = ∞
The slope of the perpendicular line is calculated as,
⇒ -1/m
⇒ -1/∞
⇒ 0
The slope of line L is 0. Then the equation of the line L in the xy-plane will be y = 0.
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The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is
Answer:
16
Step-by-step explanation:
50÷3=16R2
Second largest multiple of 3 that is smaller than 50=45
45÷3=15 groups of 3 people each
50-45=5
=1 group of 5 people
Greatest possible number of groups=15+1
=16
Write the following expression as a simplified polynomial in standard form.
(x - 5)^2+3(x - 5) - 4
[tex]\\ \rm\longmapsto (x-5)^2+3(x-5)-4[/tex]
[tex]\\ \rm\longmapsto x^2-10x+5^2+3x-15-4[/tex]
[tex]\\ \rm\longmapsto x^2-7x+25-19[/tex]
[tex]\\ \rm\longmapsto x^2-7x+6[/tex]
Sasha measured the length of an ant as 1.3 x 10-3 meter. Write this length in standard.
[tex]\\ \sf\longmapsto 1.3\times 10^{-3}m[/tex]
[tex]\\ \sf\longmapsto 13\times 10^{-2}m[/tex]
[tex]\\ \sf\longmapsto 13cm[/tex]
10^-2m=1cmHow do I solve (b) (c) and (d)
Answer:
Step-by-step explanation:
answer (B)
-5x²-2x³-4x Write the polynomial in standard form. Then identify the polynomial by the number of terms.
Answer:
-2x³ - 5x² - 4x and cubic
Step-by-step explanation:
→ Rearrange the polynomial so the highest power is at the start
-2x³ - 5x² - 4x
→ Now look at the highest power and determine the type of polynomial
Cubic
This is my test question Round 1.391 to the nearest hundredth and I’m have a hard time I don’t understand I need the answer!!!
Answer:
1.39
Step-by-step explanation:
nearest hundredth is 9
therefore 1.39 ig
Answer:
1.39
Step-by-step explanation:
0.090 is the hundreth. If the number in the thousandths spot is less than 5, which it is, you round back to 0.090
A rectangle has a perimeter of 6x^3+ 9x^2 - 10x + 5 and a length of x. Find the width of the rectangle when
the length is 21 inches.
Answer:
59330 feet
Step-by-step explanation:
If length is equal to 21 feet, then x=21
Width will be f(21)=6*(21)^3+9*(21)^2-210+5=59330 feet
The width of the rectangle with the given perimeter and length is 29,686 inches.
Given that, the perimeter of a rectangle = 6x³+ 9x² - 10x + 5 and length=x.
We need to find the width of the rectangle when the length is 21 inches.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of the rectangle be y.
Now, length=x=21 inches.
Thus, 6x³+ 9x² - 10x + 5 = 2(x+y)
⇒6×21³+ 9×21² - 10(21)+ 5=2(21+y)
⇒55,566+3,969-210+5=42+2y
⇒59,372=2y
⇒y=29,686 inches
Therefore, the width of the rectangle with the given perimeter and length is 29,686 inches.
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Helps please
What is the answer for all of them?
simplify expression -3√2+ 3√8
Answer:
3√2
Step-by-step explanation:
−3√2+3√8
=3√2 (Decimal: 4.242641)
Answer:
3√2
~~~~~~~~~~~~~~~
-3√2+ 3√8
-3√2+ 6√2
3√2
Step-by-step explanation:
9. x is directly proportional to y. When x = 4, y = 9. Write an equation
for y in terms of x.
Answer:
y = 2.25x
Step-by-step explanation:
Given x is directly proportional to y then the equation relating them is
x = ky ← k is the constant of proportion
To find k use the condition when x = 4, y = 9 , then
4 = 9k ( divide both sides by 9 )
[tex]\frac{4}{9}[/tex] = k
x = [tex]\frac{4}{9}[/tex] y ← equation of proportion
Multiply both sides by [tex]\frac{9}{4}[/tex] to clear the fraction
[tex]\frac{9}{4}[/tex] x = y , then
y = [tex]\frac{9}{4}[/tex] x , or
y = 2.25x
What is p of 11=8-6p-3
solve for x:
3cx-b=adx+5f
[tex]3cx - b = adx + 5f \\ 3cx - adx = 5f + b \\ x(3c- ad) = 5f + b \\ \\ x = \frac{5f + b }{3c- ad} [/tex]
I hope I helped you^_^
write 12:57 a.m in 24 hour time
Answer:
Here is your answer . Hope this is helpful to you.
The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _
Answer:
[tex](\frac{-5}{2} ,-1)[/tex]
Step-by-step explanation:
(-2 + -3)/2 , (-10+8)/2
-5/2,-1
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
Need help ASAP please need this question answer !!!!
Answer:
417
Step-by-step explanation:
b=9
l=12
d=14
plug in the numbers with the letters and multiply
(6.5×9)+(9.75×12)+(17.25×14)
58.5+117+241.5= 417
Does #1 look right? Im struggling on this
Answer:
Yup, good job!
Step-by-step explanation:
Rational numbers include whole numbers, integers, fractions, and some decimals?
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
elena bikes 20 minutes each day for exercise write and equation to describe the relationship between her distance in miles d and her biking speed in miles per hour when she bikes at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes
The scale on a different map is 1 inch represents 6 miles.
A road on the map measures 2.5 inches.
How long is the road in real-life?
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89
Find the area of 12.5 cm and 5 cm
Answer:
62.5
Step-by-step explanation:
l*w = a
12.5*5 = 62.5
the area of a rectangle is its width times its height
Ann went to the store after school 5 days this week. Each day, she bought a sandwich and a comic book. She spent a total $50 of at the store this week. She paid $2 for each sandwich. How much did she pay for each comic book? (Assume she paid the same for each comic book.)
In total 5 days, she has paid: 5 x $2 = $10 for the sandwiches
In total 5 days, she has paid: $50 - $10 = $40 for the comics
So, she paid: $40 / 5 = $8 for each comic
If helpful, brainliest please !
Shawna and her best friend Keisha go shopping.
The function p(x) = 3x^4 + 2x^3 − 4x^2 + 21 represents how much money each girl spent based on the number of hours they were shopping. If Shawna and Keisha each go shopping for 2 hours, how much money did they spend together?
$37
$69
$101
$138
Answer:
138
Step-by-step explanation:
p(x) = 3x^4 + 2x^3 − 4x^2 + 21
Let x = 2
p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21
= 3*16+2*8-4*4+21
=48+16-16+21
= 69
This is per girl
There are 2 girls
2 * 69
138
f(3) = 4x^2 – 4x
Find f(-7)
Answer:
224
Step-by-step explanation:
[tex]f( - 7) = 4( - 7) {}^{2} - 4( - 7) \\ = 196 + 28 \\ = 224[/tex]
what must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18
Answer:
5x^2 +4x -6
Step-by-step explanation:
that is the answer
yep
Answer:
5x² + 4x - 6
Step-by-step explanation:
Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is
7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1
= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms
= 5x² + 4x - 6
2.
Evaluate the function rule for the given value. f(x) = 5^x for x = 2
A. 25
B. 10
C. 32
D. 5
[tex]f(x) = {5}^{x} \\ \\ f(2) = {5}^{2} = 5 \times 5 = 25[/tex]
Answer: A)
Help me please I need help with domain and range.
Answer:
[ -2, ∞ ), [ -1, ∞ )
Step-by-step explanation:
Domain: all x values
[ -2, ∞ )
Range: all y values
[ -1, ∞ )
A manufacturer determines that the cost of making a computer component is $3.171717. Write the cost as a fraction and as a mixed number.
Answer:
Step-by-step explanation:
100y = 317.17171717171717 ....
y = 3.17171717171717 .... subtract
99y = 314
The cost = 314 / 99
Or
The cost = 3 17/99