#1
√0.084√(841×0.0001)√ab=√a√b
√841√0.0001√(29)²√(0.01)²29(0.01)0.29#2
Let they be x and x+2
x²+(x²+4x+4)=1302x²+4x=126x²+2x=63(x+9)(x-7)=0x+9=0 and x-7=0x=-9,7It's given that two consecutive square nos
A square no must be positive integer so -9 can't be that
x=7 onlyThe next odd no=7+2=9
The numbers are 7 and 9
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
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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Does #1 look right? Im struggling on this
Answer:
Yup, good job!
Step-by-step explanation:
How many different paths are there from the point (0, 0, 0) in three dimensional space to the point (7, 3, 4) if you are only allowed to move in steps of one unit in either the positive x direction, the positive y direction, or the positive z direction. (That is no backtracking is allowed and you can only move in a single direction on a given step)
Using the fundamental counting principle, it is found that there are 84 different paths.
-----------------------------
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
-----------------------------
The movements are independent, which means that the fundamental counting principle is used.
There are:
7 - 0 = 7 ways to move in the x-direction.3 - 0 = 3 ways to move in the y-direction.4 - 0 = 4 ways to move in the z-direction.Thus, the number of different paths is:
[tex]T = 7 \times 3 \times 4 = 84[/tex]
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What are the coordinates of the vertex of the function f(x)=x2+10x-3?
(-5, -28)
(-5, 28)
(5,-28)
(5, 28)
Answer:
(-5, -28)
Step-by-step explanation:
[tex]f(x) = {x}^{2} + 10x - 3[/tex]
[tex] = f(x) = {1x}^{2} + 10x - 3[/tex]
= a = 1, b = 10
[tex] = x = \frac{10}{2 \times 1} [/tex]
[tex] = x = - \frac{10}{2} [/tex]
= x = -5
[tex] = f(x) = {x}^{2} + 10x - 3..x = - 5[/tex]
[tex] = f( - 5) = - 28[/tex]
= (-5, -28)
Answer:
A) -5, -28 is correct!
Step-by-step explanation:
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
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:
If one side length of an equilateral triangle is (4mn^3 - 5)yds., what is the perimeter of the
triangle?
Answer:
[tex] 12m {n}^{3} - 15yds[/tex]Step-by-step explanation:
Given,
One side of an equilateral triangle
[tex] = (4mn^3 - 5)yds[/tex]
Therefore,
Perimeter of the equilateral triangle
[tex] = 3 \times side[/tex]
[tex] = 3 \times (4mn^3 - 5)yds[/tex]
[tex] = 12m {n}^{3} - 15yds(ans)[/tex]
-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
Question 1
Re-write this list of numbers in ascending order:
0.9, 0.23, 0.89
Helps please
What is the answer for all of them?
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 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!
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, ∞ )
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
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]
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]
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]
A point is plotted on the number line at 225 . A second point is plotted at −434 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
ANSWER:_____ units?
Answer:
659 units
Step-by-step explanation:
The length of the segment is the distance between the points.
The distance between two points on the number line is the absolute value of the difference between their coordinates. It does not matter in which order you subtract the numbers.
One point has coordinate 225.
Another point has coordinate -434.
Subtract one coordinate from the other and take the absolute value of the difference.
distance = |-434 - 225| = |-659| = 659
Answer: 659 units
Length of given line segment is 659 units
Step-by-step explanation:
Given:
First point plotted on number line = 225
Second point plotted on number line = - 434
Find:
Length of line segment
Computation:
Length of line segment = Distance between two point
(Distance between two point will be added as absolute value)
So,
Length of line segment = |-434| + |225|
Length of line segment = 434 + 225
Length of line segment = 659 units
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If x/y = 7/3 then find the value of
3x ^{2} + 2y^{2} \3x^{2} - 2y {}^{2}3x2+2y2\3x2−2y2
Answer:
this is the wrong question tipe perperly
write 12:57 a.m in 24 hour time
Answer:
Here is your answer . Hope this is helpful to you.
ramesh took a loan of rs 50000 from urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years in how many years should he pay the remaining amount with total interest of 20000 from the beginning?
Ramesh took a loan of rs 50000 from Urmila at the rate of 10%p.a. if he paid half of the principal and all the interest at the end of 3 years
P= 80000
R = 10% '
1st-year amount = 88000
10% compounded annually
If you pay the loan of 55000 at the end of year 2, constant payment from year 1 After that, I paid 110% of the balance. C. I have always calculated in terms of the previous year's amounts
= \frac{55000}{110} \times 100 = 50000
So after the first year, a certain amount is paid, and the remaining amount is will be 50000.
So a certain amount to be paid in 1 year = 88000 -50000 = 38000
A loan is a type of debt owed by an individual or other legal entity. A lender (usually a corporation, financial institution, or government) makes an advance payment to a borrower. In return, the borrower agrees to certain terms, including financing costs, interest, repayment dates, and other terms.
A loan is an amount of money borrowed from a bank or other financial institution by one or more individuals or businesses to finance planned or unscheduled events. A borrower takes out a loan that must be repaid with interest within a certain period of time. May 6, 2022
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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 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°
What is p of 11=8-6p-3
Find the coordinates of the midpoint and the length of the line segment joining these pairs of points. a.(0,0)and(4,-4) b.(1,5)and(3,1) c.(-3,-3)and(0,0) d.(-1,3)and(5,1) e.(-1,6)and(2,-2) f.(-3,4)and(3,-1)
Write an equation for the situation then solve for x.
35) A stray dog ate 21 of your muffins. That was 3/4 of all of them! With how many did you
start?
Answer:
28
.75 * x = 21
x = 21/.75
x=28
Step-by-step explanation:
Answer:
28 muffins
Step-by-step explanation:
Let x = the number of muffins
x*3/4 = 21
Multiply each side by 4/3
4/3 * 3/4x = 4/3 *21
x = 28
You started with 28 muffins
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 !
Please answer the question in the screenshot (#8) Thank you!
Answer:
282 hours
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