Answer:
1.0325s
Step-by-step explanation:
The expression can be simplified by combining the terms.
s + 0.0325s = s(1 +0.0325) = 1.0325s
What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?
A. x=5-+10*square root* 5/2
B. x=-5-+10*square root*5/2
C. x=-5-+*square root*5/2
D. x=5-+*square root*5/2
Step-by-step explanation:
The function is as follows :
\(f(x) = x^2 + 5x + 5\)
We need to find the zeroes of the function in the simplest radical form.The zero of the above function is given by :
\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)
Here,
b = 5
a = 1
c = 5
So,
\(x=\dfrac{-5\pm \sqrt{5^2-4\times 1\times 5} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{25-20} }{2(1)}\\\\x=\dfrac{-5\pm \sqrt{5} }{2}\)
Hence, the correct option is (c).
9 x -5=
help!!! I am stuck
Answer:
-45 is the answer good luck
Answer:
-45 is your answer hope this helps
The area of a parallelogram is 65 ft square. What is it height?
(The base is 13 ft)
Answer:
5
Step-by-step explanation:
Area equals bh
So 65 divided by 13
Answer:
h = 5 ft
Step-by-step explanation:
The area of a parallelogram is
A = bh
65 = 13h
Divide each side by 13
65/13 = 13h/13
5 = h
An ant colony is built by 200 ants. The number of ants triples each week. How many ants will be in the colony at the end of the eighth week?
4x3 = -5x - 21 solve for x
To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:
1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:
4x3 + 5x = -21
2. Factor out x from the left-hand side of the equation:
x(4x2 + 5) = -21
3. Divide both sides by (4x2 + 5):
x = -21 / (4x2 + 5)
So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
it'll be (2,3)
hope it helps...!!!
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
Find the 45th term of the arithmetic sequence an = 2 + 4(n − 1).
Group of answer choices
182
178
145
264
Step-by-Step Explanation:
n = 45
Therefore, 2 + 4(n - 1)
Putting n = 45, we have
2 + 4(45 - 1)
= 2 + 4 × 44
= 2 + 176
= 178
Answer:
B) 178
Hope it helps.
If you have any query, feel free to ask.
What is a prime polynomial?
Answer:A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
Step-by-step explanation:
Answer:
A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.
The sum of two numbers is -64. Their difference is -10. Find the numbers.
The smaller number is:
The larger number is:
Answer:
smaller: -37, larger: -27
Step-by-step explanation:
say one number is x the other one is y
x+y = -64
x-y = -10
subtract the two equations to get
2y = -54
y = -27
x = -37
-27 is larger, -37 is smaller
Which of the following statements are true regarding the reflection of A(1 1/2,−2) ? Select all that apply.
PLEASEE HELPP MEE!!!!
Answer: Hey i'd love to help you can you please provide the choices that are given?
Step-by-step explanation:
evaluuate 9-b when b=8
Answer:
\(\huge\boxed{\sf 1}\)
Step-by-step explanation:
Given the expression:
= 9 - b
Given that b = 8
= 9 - 8
= 1
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Okay so we are asked to solve 9 - b, and we are told that b=8
Therefore this is just a matter of substitution:
9 - b
Substitute 8 for b:
9 - 8
Now just finish solving:
1
Therefore, the answer is 1
Hope this helped :)
Emily and Andy each go to a hardware store to buy wire. The table shows the cost y in dollars for x inches of the wire they need. Emily needs 25 feet of the wire. Andy needs yards of the wire. How much will each of them spend for wire?
Answer:
24
Step-by-step explanation:
Write an equation to represent the following statement. 60 is 5 times as great as k
Answer:
60=5k
Step-by-step explanation:
k=12
I did it on Khan and got it right!
Find the volume of the solid.
Answer:
64cm³
Step-by-step explanation:
( 4 x 4 x 4) cm x cm x cm
An oil change at Instant Auto Service is regularly $35. Mr. Oliver has a coupon for 25% off.
He wants to know the sale price of the service.
Regular Price
) What is the relationship between the sale price
and the regular price of an oil change?
.) The sale price is 75% % of the regular price.
100
%
$
35
Which equation can be used to find the sale
price, s, of an oil change?
Sale Price
Discount
75
%
25
%
S=0.75 : 35
S= 75.35
$
$
s = 0.75(35)
s = 75 : 35
9514 1404 393
Answer:
The sale price is 75% % of the regular price.s = 0.75(35)Step-by-step explanation:
The first part of the question appears to be answered already:
The sale price is 75% % of the regular price.
__
The equation representing this fact is ...
s = 0.75(35)
Finding the equation of the line passing through the points
Given: Two points: (6,3) and (-4,3)
Required: Equation of line passing through the two points.
Explanation:
The slope of line passing through the points (6,3) and (-4,3) is
\(\begin{gathered} m=\frac{3-3}{6-(-4)} \\ m=\frac{0}{10}=0 \end{gathered}\)So the slope is 0.
Equation of line passing through (6,3) with slope 0 is
\(\begin{gathered} y-3=0(x-6) \\ y-3=0 \end{gathered}\)Thus the equation is
\(y=3\)Final Answer: The equation is y = 3.
what is the slope of a line parallel to the line whose equation is 2x+5y=10
Answer:
1. The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
The line y = -2x + 5 is parallel to the line y = -2x + 3
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3. The equation of the line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Step-by-step explanation:
Let us revise some rules
The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
The slopes of the parallel lines are equal
The product of the slopes of the perpendicular lines is -11. The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
The line y = -2x + 5 is parallel to the line y = -2x + 3
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3. The equation of the line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Step-by-step explanation:
Let us revise some rules
The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
The slopes of the parallel lines are equal
The product of the slopes of the perpendicular lines is -11. The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
The line y = -2x + 5 is parallel to the line y = -2x + 3
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3. The equation of the line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Step-by-step explanation:
Let us revise some rules
The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
The slopes of the parallel lines are equal
The product of the slopes of the perpendicular lines is -11. The slope of a line that is perpendicular to a line whose equation
is 5y = 10 + 2x is
2.
The line y = 2x - 1 is neither parallel nor perpendicular to the line
y = -2x + 3
The line y = -2x + 5 is parallel to the line y = -2x + 3
The line y = x + 7 is perpendicular to the line
y = -2x + 3
3. The equation of the line that passes through the point (5 , -4) and
is parallel to the line whose equation is 2x + 5y = 10 is
y = x - 2
Step-by-step explanation:
Let us revise some rules
The slope-intercept form of the linear equation is y = m x + b, where m is the slope of the line and b is the y-intercept
The slopes of the parallel lines are equal
The product of the slopes of the perpendicular lines is -1
PLS HELP!!! Ill give 20 points!!!
Answer:
Step-by-step explanation:
22.57 cm inches are the net weight of the slope
There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation
Answer: 4.8576 × 10^19 cubic feet of water.
Step-by-step explanation:
330m * 147.2b = 48 quintillion feet.
Answer:
5 x 10^19 ft^3
Step-by-step explanation:
Exercise
Squats
Crunches
Lunges
Curls
Time (h)
0.08
0.03
0.04
0.05
Javier likes to work out for 1 hour. If he
doesn't use the full hour on his exercises, he
runs on a treadmill for the remaining time. If
he completed 3 repetitions of each exercise,
how long did he run on the treadmill on
Monday? (Example 1)
By addition of all the exercise and substracting it from 1 hourJavier runs on treadmill on Monday is 0.40 hour.
Now According to the question javier completed 3 repetitions of each exercise so by multiplication time taken by javier to complete each exercise is as follow;
Squats = 0.8*3= 0.24 hour
Crunches = 0.03*3 = 0.09 hour
Lunges = 0.04*3 = 0.12 hour
curls = 0.05*3 = 0.15 hour
we can calculate total time taken to complete all exercise by Addition is,
0.24 + 0.09 + 0.12 + 0.15
0.60 hour
time taken on treadmill by javier;
1 hour - 0.60 hour
0.40 hour
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Of three consecutive odd integers, k is the middle one. If the difference between
the products of the last two and first two is 28, find the three integers.
What is the length of a diagonal cube with side length 1cm
Answer:
1.73
Step-by-step explanation:
Find the square root of 3 (something like this)
To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due
north. To get from home to his friend Cooper's house, Jaden would have to walk 6.3
kilometers due east. What is the straight-line distance between Akira's house and Cooper's
house? If necessary, round to the nearest tenth.
The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)
Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)
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How much would you have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would
earn?
Round to 2 decimal places and do not include the $
symbol.
Answer:
To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due (the amount you would have to deposit today)
- PMT is the monthly payment ($75)
- r is the annual interest rate (3.5%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**
Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.
Triangles WILL GIVE BRAINLIEST
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
A square garden has a length of (x+3) ft and a width of (x+2) ft. what is the perimeter and area of the garden?
Answer:
Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet
Step-by-step explanation:
The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)
A box is filled with five green card six green card and three blue cars. A card is chosen at random from the box. What is the Probability that it is a green or blue card
Answer:
so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%
Hope This Helps!!!
Please help I need this will give 100 points please help
The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
Solving Inequality in a given domainGiven the inequality,
f(x²-2) < f(7x-8) over D₁ = (-∞, 2)
We need to find the values of x that satisfy this inequality.
Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.
First, we can find the values of x that make the expressions inside the function equal:
x² - 2 = 7x - 8
Simplifying, we get:
x² - 7x + 6 = 0
Factoring, we get:
(x - 6)(x - 1) = 0
So the values of x that make the expressions inside the function equal are x = 6 and x = 1.
We can use these values to divide the domain (-∞, 2) into three intervals:
-∞ < x < 1, 1 < x < 6, and 6 < x < 2.
We can choose a test point in each interval and evaluate
f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.
Let's choose -1, 3, and 7 as our test points.
When x = -1, we have:
f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)
Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.
When x = 3, we have:
f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)
Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.
When x = 7, we have:
f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)
Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.
Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:
-∞ < x < 1 or 1 < x < 6 or 6 < x < 2
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