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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What is p of 11=8-6p-3
write 12:57 a.m in 24 hour time
Answer:
Here is your answer . Hope this is helpful to you.
Rational numbers include whole numbers, integers, fractions, and some decimals?
Answer:
TRUE
Step-by-step explanation:
this is true.
rational= ratio
What is the sum of mza+ m2b+ m2c?
Select the best answer from the choices provided.
A.245°
B.252°
C.360°
D.540°
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, ∞ )
Does #1 look right? Im struggling on this
Answer:
Yup, good job!
Step-by-step explanation:
Helps please
What is the answer for all of them?
the measure of an interior angel of a regular polygon is 150. find the number of sides in the polygon.
Answer:
The polygon has [tex]12[/tex] sides.
Step-by-step explanation:
Recall that the expression for finding the measure of one interior angle of a regular polygon is [tex]\frac{180(n-2)}{n}[/tex], where [tex]n[/tex] is the number of sides the polygon has (and [tex]n\neq 0[/tex]), which is what we want to find.
Because the measure of one interior angle of the given polygon is [tex]150\textdegree[/tex], we can write the following equation to solve for [tex]n[/tex]:
[tex]\frac{180(n-2)}{n}=150[/tex]
Solving for [tex]n[/tex], we get:
[tex]\frac{180(n-2)}{n}=150[/tex]
[tex]\frac{180n-360}{n}=150[/tex] (Distribute the [tex]180[/tex] in the numerator)
[tex]180n-360=150n[/tex] (Multiply both sides of the equation by [tex]n[/tex] to eliminate the denominator and simplify)
[tex]30n-360=0[/tex] (Subtract [tex]150n[/tex] from both sides of the equation and simplify)
[tex]30n=360[/tex] (Add [tex]360[/tex] to both sides of the equation to isolate [tex]n[/tex] and simplify)
[tex]\bf n=12[/tex] (Divide both sides of the equation by [tex]30[/tex] to get rid of [tex]n[/tex]'s coefficient and simplify)
Therefore, the polygon has [tex]\bf 12[/tex] sides. Hope this helps!
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
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
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
rationalize the following
Step-by-step explanation:
[tex] \frac{1}{ \sqrt{2} + 1 } [/tex]
(On Rationalizing )
[tex] = \frac{1}{ \sqrt{2} + 1} \times \frac{ \sqrt{2} - 1}{ \sqrt{2} - 1 } [/tex]
[tex] = \frac{ \sqrt{2} - 1 }{( { \sqrt{2} )}^{2} - {(1)}^{2} } [/tex]
[tex] = \frac{ \sqrt{2} - 1}{2 - 1} [/tex]
[tex] = \frac{ \sqrt{2} - 1}{1} [/tex]
[tex] = \sqrt{2} - 1(ans)[/tex]
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]
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
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)
How do I solve (b) (c) and (d)
Answer:
Step-by-step explanation:
answer (B)
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?
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
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=1cmThis 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
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
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89
-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
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^_^
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
Please answer the question in the screenshot (#8) Thank you!
Answer:
282 hours
Jxbskdjjddjjejdjejjd :D
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 !
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]
On Monday it rained for 3 hours and 20 minutes. The total rainfall amount in that time was 4 inches. What was the average rate of rainfall per hour?
Answer:
[tex]1\frac{1}{5}[/tex]
~~~~~~~~~~~
4 ÷ 3[tex]\frac{1}{3}[/tex]
4 ÷ [tex]\frac{10}{3}[/tex]
4* [tex]\frac{3}{10}[/tex]
[tex]\frac{12}{10}[/tex]
[tex]1\frac{1}{5}[/tex]
Step-by-step explanation: