Answer:
4.4 ≤ x
Step-by-step explanation:
2/5 ≤ x -4
solve using inverse operations:
2/5 ≤ x - 4
0.4 ≤ x - 4
+4 +4
4.4 ≤ x
Hello there!☺
[tex]Answer:\boxed{x\geq \frac{22}{5}}[/tex]
[tex]Explanation:[/tex]
[tex]\frac{2}{5}\leq x-4[/tex]
Let's start by flipping the inequality:
[tex]x-4\geq \frac{2}{5}[/tex]
Now in our second/final step, add 4 to both sides:
[tex]x-4+4\geq \frac{2}{5}+4\\ x\geq \frac{22}{5}[/tex]
Hope this helps!☺
(a)The population of a city is increasing exponentially at a rate of 2% each year. The population now is 256 000. Calculate the population after 30 years. Give your answer correct to the nearest thousand.
(b) A bacteria population increases exponentially at a rate of r% each day. After 32 days, the population has increased by 309%. Find the value of r.
Sorry.. Good Luck with the answer tho!...
(a)The population of the city after 30 years will be 463708.566 as per exponential growth.
(b) The value of the exponential 'r' is 4.5%.
What is the exponential growth of a system?"Exponential growth is a process that increases quantity over time."
Here, f(x) = a(1 + r)ˣ
f(x) = exponential growth function
a = initial amount
r = growth rate
x = number of time intervals
(a)The population of the city is (A) = 256,000.
The rate of increase of population per year is (r) = 2% = 0.02.
Time period (n) = 30 years.
Therefore, the population after 30 years
= A(1 + r)ⁿ
= 256000(1 + 0.02)³⁰
= 463708.566
(b) Let, the total bacteria is x.
The rate of increase of bacteria per day is = r%
Time period (n) = 32 days.
Total increased in bacteria in 32 days = 309%.
After 32 days, the total number of bacteria is
= x + (x × 309/100)]
= x + 3.09x
= 4.09x
Therefore,
4.09x = [tex]x(1 + r)^{t}[/tex]
⇒ [tex](1 + r)^{32}[/tex] = 4.09
⇒ (1 + r ) = 1.045
⇒ r = 0.045
⇒ r = 4.5%
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Can someone help me with this? Its due in 30 minutes and I need help
Answer:
Quadrants I and II.
O: (-2, 2)
N: (-2, 4)
M: (1, 4)
P: (1, 2)
Step-by-step explanation:
When rotating about the origin 90 degrees in a counterclockwise direction, focus on the coordinates of one point on the preimage at a time. So, the x-coordinate on the image will be the opposite of the y-coordinate of the preimage, and the y coordinate of the image will be the x-coordinate of the preimage. That sounds complicated so here is an example from the problem.
O is a point on the preimage. Its coordinates are (2, 2). To find the x-coordinate, take the opposite of the image's y-coordinate. The y-coordinate is 2, so it will be a -2 x-coordinate on the image. To find the y-coordinate on the image, take the x-coordinate of the preimage (O). The x-coordinate of O is 2, so the y-coordinate of the image will be 2. Combine those together and after a 90 degree counterclockwise rotation, you get a point of (-2, 2)
Answer:
Step-by-step explanation:
when rotate counterclock wise 90 degrees:
(x,y)⇒(-y,x)
points (2,2) (4,2) (2,-1) (4,-1)
CCW90 degrees (-2,2) (-2,4) (1,2) (1,4)
CCW 270 degrees (2,-2) (2,-4) (-1,-2) (-1,-4)
(x,y)⇒(y,-x) the shape will be in quadrant 3 and 4
whats the answer of 2+a/4=-1
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/27/20 Time: 8:58 pm CST
Answer:
A = 4
Explanation:
Step 1: Write out the equation
2 + a/4 = -1
Step 2: Solve
Add 2 to both sides of the equal sign
a/4 = 1
Multiply 4 on both sides
a = 4
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
Use f(x) = 1/2 x and f-^1(x) = 2x to solve the problems.
f(2) =
f(1) =
f-^1 (F2)) =
Answer:
f(2) =
⇒ 1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
Mike can walk 5 miles in an hour. How many miles can mike walk-in 2 and a half hours?
Answer: 10 1/2 miles
1 hour= 5 miles
2 1/2 hrs = 10 1/2 miles
The ratio of oranges sold to bananas sold is 3 to 10. If a total of 30 bananas were sold,then how many oranges were sold ?
Answer:
9
Each value is 3 times the number on the ratio.
10 x 3 = 30.
So, the ratio for oranges would be 9 because:
3 x 3 = 9.
So, the answer is 9.
please help 50 points
Answer:
2. Georgia colony
3. Massachusetts Bay Colony
4. New York
5. Charter of Pennsylvania
6. May 4, 1776
7. Swedes colony
8. Rhode Island colony and Connecticut colony
9. New York
10. Plymouth colony
11. Maryland and Virginia colony were both founded in 1776
12. 1732 - 1215 = 517
Hope this helps, could sure use brainliest after this:)
Answer:
thank YOU
Step-by-step explanation:
ASAP GEO PROBLEM HELP NEEDED QUICK
Prove that triangle with sides' lengths x^2−1, 2x, x^2+1 is a right triangle.
Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:
[tex](x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2[/tex]
Square each expression:
[tex](x^4-2x^2+1)+(4x^2)\stackrel{?}{=}(x^4+2x^2+1)[/tex]
Combine like terms:
[tex]x^4+(-2x^2+4x^2)+1\stackrel{?}{=}(x^4+2x^2+1)[/tex]
Add:
[tex]x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1[/tex]
We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!
Amy solved the exponential inequality
4 Superscript 2 x minus 2 Baseline greater-than-or-equal-to 2
by first rewriting the inequality as
4 Superscript 2 x minus 2 Baseline minus 2 greater-than-or-equal-to y
and then graphing this inequality. She determines the solution set of the inequality is (infinity, 1.25 right-brace.
Which best describes Amy’s solution?
-Amy is correct. The interval (negative infinity, 1.25 right-brace is the solution set for the inequality.
-Amy did not break the inequality into two related inequalities. Her solution set only relates to one inequality.
-Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞).
-Amy used the wrong variable when writing the solution. The solution set should relate to y and not x.
Answer: C. Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞)
Step-by-step explanation:
Answer:
Amy used the incorrect inequality symbol. The solution set should be [1.25, ∞).
Step-by-step explanation:
edge
What is Slope?
describe what slope is,
Use at least TWO sentences!
Answer:
BET LETS GO
Step-by-step explanation:
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between any two distinct points on a line.
simplify : 3a(2a-x+1) URGENTLYYY
Answer:
the answer is 6a^2- 3ax+ 3a
helppp ill mark u as brainlist
Answer is A .
Explaination = 4x+12 < ( i cant type it with a line below but remember it has it) -8
I just need the answer bru why’s it gotta Make write 20 words♂️ this is dumb as hell bru♂️
Answer:
11
Step-by-step explanation:
W^7/W^-2=W^7+2=W^9 ( when divide subtract the exponent (7-(-2))
W^?/W² = W^?-2
W^9=W^(?-2)
9=?-2
?=11
W^7/W^-2 = W^11/W²
Answer:
11
Step-by-step explanation:
totally didnt look at someone elses answer ;)
If the ratio of apples to pumpkins was 5:7 and there are 21 pumpkins, how many apples are there?
Answer:
15 apples
Step-by-step explanation:
7×3=21
5×3=15
Answer:
15 apples
Step-by-step explanation:
hope I could help
Please hurry! 50 points :)
Which point could be on the line that is perpendicular to Line M N and passes through point K?
A. (0, −12)
B. (2, 2)
C. (4, 8)
D. (5, 13)
Answer:
Your answer option is B) (2,2)
Answer:
Step-by-step explanation:Coordinate geometry is one of the most important and exciting ideas of mathematics. In particular it is central to the mathematics students meet at school. It provides a connection between algebra and geometry through graphs of lines and curves. This enables geometric problems to be solved algebraically and provides geometric insights into algebra.
The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that was previously impossible. It brought together nearly all of algebra and geometry using the coordinate plane. The invention of calculus depended on the development of coordinate geometry.
The volume of a cylinder is given by the formula V=πr²h, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has the radius (x+8) and height (2x+3). Which expression represents the volume of the can?
A: πx³+19πr²+112πx+192π
B: 2πx³+35πx²+80πx+48π
C: 2πx³+ 35πx²+176πx+192π
D: 4πx³+ 44πx²+105πx+72π
Answer:
C
Step-by-step explanation:
We know that the volume of a cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
And we want to find the expression that represents the volume when the radius is (x+8) and the height is (2x+3).
So, let's substitute (x+8) for r and (2x+3) for h. This yields:
[tex]V=\pi (x+8)^2(2x+3)[/tex]
Let's expand.
Expand the square term first. We can use the perfect square trinomial pattern, which is:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Here, our a is x and b is 8. So:
[tex]V=\pi (x^2+2(x)(8)+(8)^2)(2x+3)[/tex]
Simplify:
[tex]V=\pi (x^2+16x+64)(2x+3)[/tex]
Expand further. This time, we will use the distribute property. So:
[tex]V=\pi ((x^2+16x+64)(2x)+(x^2+16x+64)(3))[/tex]
Multiply:
[tex]V=\pi((2x^3+32x^2+128x)+(3x^2+48x+192))[/tex]
Combine like terms:
[tex]V=\pi((2x^3)+(32x^2+3x^2)+(128x+48x)+(192))[/tex]
Add:
[tex]V=\pi(2x^3+35x^2+176x+192)[/tex]
Distribute the π:
[tex]V=2\pi x^3+35\pi x^2+176\pi x+192\pi[/tex]
So, our answer is C.
And we're done!
Answer:
C
Step-by-step explanation:
V=πr²h
V=π(x^2+64)h
V=π(x^2+64)(2x+3)
V=π(2x^3+3x^2+128x+192)
C: 2πx³+ 35πx²+176πx+192π
.......................
Answer:
32 degrees
Step-by-step explanation:
If lines r and t are parallel then it would be 180-148
Morgan used 5 gallons of paint to paint 1,750 square feet. How many gallons of paint would she need to cover 2,800 square feet
Answer:
Morgan would need 8 gallons of paint to cover 2800 ft^2
Step-by-step explanation:
Write and solve an equation of ratios:
x 2800 ft^2
--------- = ----------------
5 gal 1750 ft^2
Cross-multiplying yields 1750x = 14000, and so x = 8
Morgan would need 8 gallons of paint to cover 2800 ft^2
Point Slope Formula
POS
Write the equation of a line given two points.
(1.3) and (-3,-5)
First, find the slope between the two lines and enter that answer below. Remember to simplify your fractions.
m =
Then use your slope to find the equation of the line
y =
Answer:
y = 2x + 1
Step-by-step explanation:
Slope formula is y2-y1/x2-x1
-5-3/-3-1
-8/-4
2
Thus, the slope is 2 (m = 2)
Find the y intercept.
y = 2x + b
3 = 2(1) + b
3 = 2 + b
1 = b
y = 2x + 1
Best of Luck!
What is 57.42 + 4 + 1.02? Pls help and I need a small simple explanation...
Answer:
62.44
Step-by-step explanation:
Line up the decimals and then add them up like usual, and then place the decimal where it should go. THen you get your answer.
Hope this helped!
Answer:
62.44
Step-by-step explanation:
line the decimals up
57.42
+1.02
58.44
now add 4
58.44
+4.00
62.44
15. A photoelectron experiment is performed on a sample of silicon using photons with an energy
of 1.43 x 105 kJ/mole. Photoelectrons are generated that have a kinetic energy of 1.34 x 10
kJ/mole. What was the ionization energy of these electrons?
Answer:
9.0×10^3K/moles
Step-by-step explanation:
ionization energy of these electrons = Energy of photons - kinetic energy of the electrons
Given
Kinetic energy of electron = 1.34×10^5
Energy of photons = 1.43 x 105 kJ/mole
Required
Ionization energy of these electrons
Ionization energy of these electrons = 1.43×10^5-1.34×10^5
ionization energy of these electrons = 0.09×10^5 kJ/mol
= 9.0 × 10^3 kJ/mol
Hence the ionization energy of these electrons is 9.0×10^3K/moles
(will give Brainliest)
what is the value of x
Answer:58?
Step-by-step explanation:
[tex](2x + 12)^{\circ} + 32^{\circ} = 90^{\circ}\\2x + 12^{\circ} + 32^{\circ} = 90^{\circ}\\2x = 90^{\circ} - 12^{\circ} - 32^{\circ}\\2x = 46^{\circ}\\x = 23^{\circ}[/tex]
Need help with this English assignment due now pls hurry up I need #10-13 poem help me out now
Answer:
Step-by-step explanation:
Question 13- I remember the year of 2001 because that was the year the twin towers were bombed and that was the year the pentagon got bombed too.
which number is largest?
-12
-11
-9
-5
-15
Answer:
-5
Step-by-step explanation:
it just is okay trust me
-4.3 g equals 25.8 solve for G
3(x + 1) = -2(x - 1) + 6.
Answer:
x = 1
Step-by-step explanation:
first you distribute : 3(x + 1) -> 3x -2(x - 1) -> -2x + 2
next you combine like terms : 2 + 6 = 8
3x + 3 = -2x + 8
subtract 3 from both sides : 3x = -2x + 5
add 2x to both sides : 5x = 5
divide both sides by 5 and you get : x = 1
Hope this helps :")
Use the distributive property to rewrite the expression.
-2 ( −12x − 5) =
what is the last term of (2x-4)2
Answer: 16
============================================
Explanation:
The full expanded expression is 4x^2-16x+16
Which you can get through these steps
(2x-4)^2
(2x-4)(2x-4)
y(2x-4) ...... let y = 2x-4
2xy - 4y
2x( y ) - 4( y )
2x( 2x-4) - 4( 2x-4 ) .... plug in y = 2x-4
4x^2 - 8x - 8x + 16
4x^2 - 16x + 16
The question is an illustration of expansion and factorization.
The last term of the expression is 16.
We have:
[tex](2x - 4)^2[/tex]
Expand
[tex](2x - 4)^2 = (2x - 4) \times (2x - 4)[/tex]
Further expand
[tex](2x - 4)^2 = 2x(2x - 4) - 4(2x - 4)[/tex]
Open brackets
[tex](2x - 4)^2 = 4x^2 - 8x - 48x + 16[/tex]
[tex](2x - 4)^2 = 4x^2 - 56x + 16[/tex]
Hence, the last term of the expression is 16.
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7.25 x 10^5 in standers form
Answer:
i hope it helps
Step-by-step explanation:
0.000074
Explanation:
7.4
×
10
−
5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4
×
10
−
5
=
0.000074
Select the correct answer.
What are the x-intercept and the y-intercept of this function?
fx) = 4x + 12
O A.
The x-intercept is (3,0), and the y-intercept is (0,-12).
OB.
The x-intercept is (-3,0), and the y-intercept is (0,-12).
O C.
The x-intercept is (3,0), and the y-intercept is (0,12).
OD.
The x-intercept is (-3,0), and the y-intercept is (0,12).
Answer:
D- The x-intercept is (-3,0), and the y-intercept is (0,12).
Step-by-step explanation:
right on plato/edmentum
The solution is Option D.
The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of the line be f ( x ) = y
And , the equation is
f ( x ) = 4x + 12
So , y = 4x + 12
To find the x intercept of the line ,
Substitute the value of y = 0
So , 0 = 4x + 12
Subtracting 12 on both sides , we get
4x = -12
Divide by 4 on both sides , we get
x = -3
Therefore , the x-intercept is ( -3 , 0 )
Now , To find the y intercept of the line ,
Substitute the value of x = 0
So , y = 12
Therefore , the y-intercept is ( 0 , 12 )
Hence , The x-intercept is ( -3 , 0 ), and the y-intercept is ( 0 , 12 )
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