gradient = 12-4 ÷0-(-4)=8÷4=2
Answer:
gradient = 2
Step-by-step explanation:
Calculate the gradient m using the gradient formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (0, 12)
m = [tex]\frac{12-4}{0+4}[/tex] = [tex]\frac{8}{4}[/tex] = 2
Solve 270=3e^2.4K to the nearest hundredth
If you can solve this for me could you please give steps so I can understand, please and thank you so much!
Given:
The equation is:
[tex]270=3e^{2.4K}[/tex]
To find:
The solution for the given equation to the nearest hundredth.
Solution:
We have,
[tex]270=3e^{2.4K}[/tex]
Divide both sides by 3.
[tex]\dfrac{270}{3}=e^{2.4K}[/tex]
[tex]90=e^{2.4K}[/tex]
Taking ln on both sides, we get
[tex]\ln (90)=\ln e^{2.4K}[/tex]
[tex]\ln (90)=2.4K[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 2.4.
[tex]\dfrac{\ln (90)}{2.4}=K[/tex]
[tex]\dfrac{4.4998}{2.4}=K[/tex] [tex][\because \ln (90)\approx 4.4998][/tex]
[tex]1.874916667=K[/tex]
Round the value to the nearest hundredth (two decimal place)
[tex]K\approx 1.87[/tex]
Therefore, the value of K is 1.87.
cuanto me da como resultado
Step-by-step explanation:
1) [tex](-4)^2{\cdot}(-4)[/tex]
We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]
[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]
2) [tex](-2)^5{\cdot} (-2)^3[/tex]
Again using above property,
[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]
3) [tex]5^{-3}[/tex]
We know that,
[tex]a^{-x}=\dfrac{1}{a^x}[/tex]
So,
[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]
4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]
Hence, this is the required solution.
Find the length of AB pls and thank you
Answer:
x=4
AB=19
Step-by-step explanation:
in such a parallelogram the length of AD must be equal to the length of BC.
=>
18x = 17x + 4
x = 4
AB = 4x + 3 = 4×4 + 3 = 19
I need help with this problem pls help!
The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.
Answer: [tex]-6,13[/tex]
Step-by-step explanation:
Given
The sum of the two numbers is 20
and the difference of the two is -6
Suppose, the numbers are x and y
[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]
[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]
[tex]\therefore y=13[/tex]
Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]
At 9:30 am, Hudson and Colin leave on a bicycle trip. Their average speed is 20 km/ h. At 11:30 am, Danielle leaves from the same place and starts driving after them in her car. Her average speed is 60 km/ h. Create a system to determine how long will it take Danielle to catch up with Hudson and Colin?
Answer:
Step-by-step explanation:
11:30-9:30=2
so Danielle starts 2 hrs late.
let Danielle catches them after x hrs.
x×60=(x+2)×20
divide by 20
3x=x+2
3x-x=2
2x=2
x=1
so Danielle takes 1 hour to catches them.
Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?
Write an equation for the graph below using its zeros.
Answer:
Step-by-step explanation:
It's a cubic.
It has 1 root that cuts the x axis at x = -4
It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.
y = (x + 4) (x - 3)(x - 3)
Notice the sign change. x has to have sign change when going from a root to a binomial
The root is - 4. The binomial is (x + 4)
The same argument works for x = 3
Write 240000 in standard form
Answer:
240,000
Step-by-step explanation:
standard form means the way you would write it
Answer both for brainly pro
What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1
Answer:
x=3 x = -1/2 x=1
Step-by-step explanation:
y = (x - 3)(2x + 1)(x - 1)
Set the function equal to zero
0 = (x - 3)(2x + 1)(x - 1)
Using the zero product property
x-3 =0 2x+1 =0 x-1 =0
x=3 2x = -1 x=1
x=3 x = -1/2 x=1
The graph represents the piecewise function:
100 POINTS !!!
[tex]-2\sqrt{50x^5} +5\sqrt{18x^5}[/tex]
Answer:
234.98
Step-by-step explanation:
in class notes
The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.
Answer: [tex]\dfrac{6}{26}[/tex]
Step-by-step explanation:
Given
Denominator is 4 more than twice its numerator
Suppose the numerator is x. So, it follows above condition, fraction becomes
[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]
If both numerator and denominator are reduced by 6, they become equal
[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]
The fraction is
[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
A standard equation written in slope-intercept form looks like this:
y = mx + b
m is the slope and b is the y-intercept.
First let's identify the y-intercept.
This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.
y = mx - 3
Now let's find the slope.
This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.
We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.
To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.
rise: 2
run: -1
rise/run = 2/-1 = -2
-2 is our slope.
y = -2x - 3
This is your equation.
Hope this helps!
Find the surface area of the figure using its net
Given m||n, find the value of x.
(7x-4)
(3x+28)º
Answer:
8
Step-by-step explanation:
7 x 8 = 56 56 - 4 = 52.
3 x 8 = 24 24 + 28 = 52
If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?
An angle is bisected by a segment forming two new angles find m
Answer:
60
Step-by-step explanation:
Note that angle ZXY is the bisected angle which was split into angle 1 and 2
Also note that bisectors split angles into to separate congruent angles ( So if angle ZXY was bisected into angle 1 and angle 2 then angle 1 = angle 2 )
If angle 2 = 30 then angle 1 also = 30
Like stated multiple times angle ZXY is made up of angle 1 and 2
Hence, Angle ZXY = Angle 1 + Angle 2
Angle ZXY = 30 + 30 = 60
You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?
Answer:
22 grams
Step-by-step explanation:
loses 50% of it's mass per 22 years
so after 22 years the mass would be 44 grams
22 years later would leave 50% of 44 grams = 22 grams
Q. The ratio 12:27 simplified to the form 1:n is *
a-1:2.25
b-1: 0.4
Answer:
1:2.25
12/12 = 1
27/12 = 2.25
Hope this helps!
Find the missing side. Round to the nearest tenth. X=?
Answer:
x = 12.2
Step-by-step explanation:
to solve for 'x', we can use the sine ratio of opposite/hypotenuse
we need to find the angle opposite side 'x', which can be found by:
180-(44+90) = 46
sin46° = x/17
x = 17·sin46°
x = 12.2
Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6 A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9. A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9. A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.
What is the volume of a cube with a side length of 3tunits?
Cube V = 93
Answer:
The volume 27.
The volume of a cube:
Volume = side³
The volume of a cube with side 3 units is 27 cubic units.
What is a cube?It is a polygon having six faces.
The volume of a cube:
Volume = side³
Example:
The volume of a cub with a side length of 2 cm is 8 cubic cm.
We have,
Side = 3 units
Volume = Side³
Volume:
= 3³
= 3 x 3 x 3
= 27 cubic units
Thus,
The volume of a cube with side 3 units is 27 cubic units.
Learn more about cubes here:
https://brainly.com/question/11168779
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An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?
Answer:
The author sold a total of 30240 books following this trend.
Step-by-step explanation:
Let's find 5% of 14400 first;
14400 * 5%
14400 * 5/100
144 * 5
720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)
=> aₙ = a₁ + r(n - 1)
=> a₂₃ = 14400 + 720(23 - 1)
=> a₂₃ = 14400 + 720(22)
=> a₂₃ = 14400 + 15840
=> a₂₃ = 30240
Hope this helps!
The author sold a total of 30240 books following this trend.
Let's find 5% of 14400 first;
[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]
What is an arithmetic progression?A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.
So using the arithmetic progression we have:
[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]
See more about arithmetic progression at brainly.com/question/20385181
Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3
Answer:
Lauren tutors 42 students in total
Step-by-step explanation:
She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42
Hope it helps:)
if 5x-26=x+50, then what is the value of x
Answer:
x = 19
Step-by-step explanation:
5x - 26 = x + 50
Subtract x on both sides of the equation.
4x - 26 = 50
Add 26 on both sides.
4x = 76
Now, divide by 4 on both sides.
x = 19
Answer:
x = 19
Step-by-step explanation:
5x-26=x+50
5x = 76 +x
4x = 76
x = 19
There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?
Answer:
0.0152 probability
Step-by-step explanation:
first there are 12 marbles: odds are 2/12 = 1/6
Then, there are 11 marbles: odds are 1/11
So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152
Please give brainliest thanks!
Haley is camping and needs to go from the campground to the waterfall. She hikes 3 miles north and 7 miles east. What is the shortest distance from the campground to the waterfall?
Answer:
7.61 miles
Step-by-step explanation:
Given that,
Haley hikes 3 miles north and 7 miles east.
We need to find the shortest distance from the campground to the waterfall. Let the distance is D.
It can be calculated as follows :
[tex]D=\sqrt{3^2+7^2}\\D=7.61\ miles[/tex]
So, the shortest distance from the campground to the waterfall is 7.61 miles.
which equation has x=4 as the solution
