Answer:
Simplifying
7 + 3lnx = 15
Solving
7 + 3lnx = 15
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3lnx = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 3lnx = 15 + -7
3lnx = 15 + -7
Combine like terms: 15 + -7 = 8
3lnx = 8
Divide each side by '3nx'.
l = 2.666666667n-1x-1
Simplifying
l = 2.666666667n-1x-1
Answer:
The answer for " X" would be,
[tex]x = \frac{13}{3in} [/tex]
The answer for "N" would be,
[tex]n = \frac{13}{3ix} [/tex]
Anderia is having a party with 25 people. She has 6 1/2 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer:
Everyone got 52/25 = 2.08 slices of pizza.
Step-by-step explanation:
1 large sized pizza = 8 slices
6.5 large sized pizzas = 52 slices
52/25 = 2.08
Hope this helps :D
Two less than the sum of a number and six is equal to the product of
the number and three. What is the number?
Let's use the variable, x, to represent the unknown number.
We can represent the words, "the sum of a number and six, as : x + 6
The words, " 2 less than the sum", can be represented as: x + 6 - 2
The words, "the product of the number and three", can be written as: 3x
Now create an equation using "is equal to" to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 - x = 3x - x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2
If -2x +7 = 3x - 8, then x =
12. Which of the relations below is a function?
A. {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
B. {(3, 1), (2, 2), (3, 3), (2, 4), (2,5)}
C. {(2, 1), (2, 2), (2, 3), (2, 4), (2,5)}
D. {(1, 1), (2, 2), (2, 3), (2, 4), (1,5)}
Answer:
A
Step-by-step explanation:
a function may not have the same values of X.
Find the length of side x in simplest radical form with a rational denominator.
60
X
30
6
Answer:
We want x We have a 30-60-90 triangle So we get [tex]2 \sqrt{3} [/tex]The value of 'x' will be;
⇒ x = 2√3
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle is shown in figure.
Now,
We know that;
⇒ tan θ = Perpendicular / Base
Here, Perpendicular distance = x
And, Base = 6
Substitute all the values, we get;
⇒ tan θ = Perpendicular / Base
⇒ tan 30° = x/6
⇒ 1/√3 = x/6
⇒ x = 6/√3
⇒ x = 2√3
Thus, The value of 'x' will be;
⇒ x = 2√3
Learn more about the triangle visit:
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due in 5 min will mark brainliest if corect
A quart (32-ounce) bottle of milk costs $1.19.
Answer: 1.19 dollars/quart x 1 quart/ 32 ounces = .037 = 3.7 cents per ounce
Step-by-step explanation:
when you set up the multiplication, since quarts are in the denominator initially and you want to get rid of them, set the quarts in the numerator of the unit rate (1 quart/ 32 ounces) so that the units cancel and you are left with the units that you wanted ($/ounce).
31) Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).
A. y−5=−109(x+3)
B. y−7=−109(x+4)
C. y+3=−109(x+5)
D. y+4=−109(x−7)
Answer:
y+4=–109(x–7)please mark as brainliestAmelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly. How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?
Answer:
Amelia needs to invest $989.57.
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Amelia is going to invest in an account paying an interest rate of 2.3% compounded quarterly.
This means that [tex]r = 0.023, n = 4[/tex].
How much would Amelia need to invest, to the nearest hundred dollars, for the value of the account to reach $1,530 in 19 years?
We have to find P for which [tex]A(t) = 1530[/tex] when [tex]t = 19[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]1530 = P(1 + \frac{0.023}{4})^{4*19}[/tex]
[tex]P = \frac{1530}{(1 + \frac{0.023}{4})^{4*19}}[/tex]
[tex]P = 989.57[/tex]
Amelia needs to invest $989.57.
An auto transport truck holds 12 cars. A car dealer plans to bring in 1, 150 new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?
95 full truckloads with 12
cars on the 96th truck
960 full truckloads with 10
cars on the 961st truck
95 full truckloads with 10
cars on the 96th truck
96 full truckloads with 10
cars on the 97th truck
Answer:
95
Step-by-step explanation:
Ok so
so firs what we do is
1150/12 and ignore remainder
95 and remainder is 10
therefore we have 95 trucks full and 10 cars in the last truck
What is the value of the expression below?
11–8+4 - 13-911
A
-18
B. -2
O
C. 0
D.
2
O
E.
18
Answer:
B.
Step-by-step explanation:
Arnav knows that (3,4,5) and (5,12,13) are pythagorean triples. He wants to show that (15,20,25) is also a pythagorean triple. Besides using the converse of the pythagorean theorem, is there another way Arnav can show that (15,20,25) is a pythagorean triple?
Answer:
easy do you want to get (15,20,25) from (3,4,5)and from(5,12,13)
Step-by-step explanation:
Arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
What are similar figures?Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
M = k × L unitswhere 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
We're given that:
(3,4,5) is a pythagorean triple.
Let ABC be a right angled triangle possessing those sides (as the side lengths of a right angled triangle form pythagorean triple).
Scale each side of ABC by scale factor of 5, then we get:
(15, 20, 25) as a triple.
When scaling a figure, angles in it doesn't change because of angle being a relative quantity, not depending on the length of sides, but on the degree of rotation between two sides, which is unaffected because of scaling.
That means, that right angled triangle ABC, when scaled is still right angled triangle (because of its one of the angle 90 degrees still being 90 degrees in the new scaled triangle), but its sides are (15,20,25).
Now, since the triple (15,20,25) is side lengths of a right angled triangle, therefore, it is a pythagorean triple.
Thus, arnav can use the fact that scaling doesn't affect the angles of a triangle, and that (3,4,5) is already stated being a Pythagorean triple.
Learn more about scale factor here:
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please help me for this question:
The diagram shows information about the final 70 seconds of a car journey. (a) Find the deceleration of the car between 60 and 70 seconds.
I have attached an image showing the diagram.
Answer:
-2 m/s²
Step-by-step explanation:
From the diagram, in decelerating from between 60 to 70 seconds, it moved from a velocity of 20 m/s to 0 m/s.
Thus, using Newton's first equation of motion, we can find the deceleration;
a = (v - u)/t
Time (t) = 70 - 60 = 10 s
Final velocity (v) = 0 m/s
Initial velocity (u) = 20 m/s
Thus;
a = (0 - 20)/10
a = -20/10
a = -2 m/s²
A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º
Answer: i think i would be half of it
Step-by-step explanation:
PLEASE HELP!!!!!! I will give points
Answer:
Of the basketball players on the team, exactly 75% of the players have heights above 180
Step-by-step explanation:
So, they are 12 basketball players in total
1 - 170 - This is 1/12
2 - 175 - This is 1/6
1 - 180 - This is 1/12
4- 185 - This is 1/3
3 - 190 - This is 1/4
1 - 195 - This is 1/12
75% (Or 3/4) have heights above 180
Therefore, the answer is B
Solve: 3,125 = 5^-10 + 3x DONE
Mang ambo is a meat vendor
Answer:
can you elaborate a little more
if 2/5 cups of coconut shavings cover 1/4 of the cake, then how much coconut shavings are needed for the entire cake?
Answer:
24/20 cups or 6/5 cups.
Step-by-step explanation:
Good luck :)
What are the slope and the y-intercept of the linear function that is represented by the table?
Answer:
The slope -2 is and the y intercept is 12
Step-by-step explanation:
First, let's find the slope. We'll use the equation m=(y2-y1)/(x2-x1) (m is the slope)
Let's take any two points from the graph. For example, let's take (-3, 18) and (0,12)
Now label the points
x1=-3
y1=18
x2=0
y2=12
now substitute into the equation
m=(12-18)/(0--3)
m=(12-18)/(0+3)
m=-6/3
m=-2
So the slope is -2.
The y intercept is the point in which the line crosses the y axis. The x value is 0, while the y value is a number. Looking at the table, the y intercept is actually there; it's the point (0,12) (the second point there)
Therefore the y intercept is 12
Hope this helps!
A car is moving at a rate of 35 miles per hour, and the diameter of its wheels is 2.5 feet. (Round 1 decimal place).
A.) Find the number of revolutions per minute that the wheels are rotating.
B.) Find the angular speed of the wheels in radians per minute.
helppppppppp please
Step-by-step explanation:
12800000
or 567777000
$27500000
In the figure, a square is inside another bigger square.
If a = 4 units and b = 3 units, the length of the diagonal of the outside square rounded to the nearest tenth is units and the length of the diagonal of the inside square rounded to the nearest tenth is units ? Can someone help ?
Answer:
c=5
Step-by-step explanation:
in right lower triangle
c²=a²+b²
c=√(4²+3²)=√25=5
sorry I don't understand it.which length of diagonal is needed to find.comment me.
Ok now that the image works did I do this right?
b/5 - 3 = 3
What is the value of 3?
Answer:
wait huh?
Step-by-step explanation:
cdzfv
c
c
c
c
c
Find the solution of these two equations. Y=1/5x-7 and y=-x-1
Answer:For the first one it would be x=35
And the 2nd one would just be x=-1
Step-by-step explanation:
Graph the system of inequalities
Which table shows a proportional relationship between x and y?
Find the zeros for 2x2−24=26. What is the positive value of x?
Answer:
i think it is 12
Step-by-step explanation:
I will give brainliest to whoever posts how to make a pizza or answer what 50 + 50 is
Answer:
100 :P when u read to fast n then put 2500 lol
Step-by-step explanation: