Step by step explanation:
You first subtract z on both sides of the equal sign
ax-bx=(z-y)
Since a and b both have a "x" you can subtract them
(a-b)x=(z-y)
then you divide "x" on both sides of the equal sign
[tex]\frac{a - b}{x} = \: \frac{z - y}{x} [/tex]
To find x in the equation ax-bx+y=z, combine like terms, subtract y from both sides, and then divide by (a-b) to get the formula x = (z-y)/(a-b).
To find the value of x in the equation ax - bx + y = z, you can follow these steps:
Combine like terms by factoring out x from the terms ax and -bx, which gives you x(a - b).Subtract y from both sides of the equation to isolate the term with x on one side, resulting in x(a - b) = z - y.Finally, divide both sides by (a - b) to solve for x, assuming that a ≠ b, which gives the formula x = (z - y) / (a - b).This step-by-step process allows you to solve for x in terms of a, b, y, and z.
what is the answer to: 2/3(n-6)=5n-43
Answer:
n = 9Step-by-step explanation:
[tex]\dfrac{2}{3}(n-6)=5n-43\qquad\text{multiply both sides by 3}\\\\2(n-6)=15n-129\qquad\text{use the distributive property}\\\\2n-12=15n-129\qquad\text{add 12 to both sides}\\\\2n=15n-117\qquad\text{subtract}\ 15n\ \text{from both sides}\\\\-13n=-117\qquad\text{divide both sides by (-13)}\\\\n=9[/tex]
The equation 2/3(n-6) = 5n - 43 is solved by distributing, combining like terms, and isolating the variable n to find that n = 9.
To solve the equation 2/3(n-6) = 5n - 43, first distribute the 2/3 across the parentheses: 2/3n - 2/3 6 = 5n - 43. This simplifies to 2/3n - 4 = 5n - 43. Next, add 4 to both sides to get 2/3n = 5n - 39. Multiply everything by 3 to clear the fraction: 2n = 15n - 117. Now, we will subtract 15n from both sides to get -13n = -117. Finally, divide by -13 to find n: n = 9. This is the value of n that solves the original equation.
PLEASE HELP ME WITH THIS QUESTION.
Answer:
The ball hits the ground after 7.6 sec.
Step-by-step explanation:
Realize that h = 0 when the rocket hits the ground. Thus, we set h(t) = y = to 0 and solve for time (t):
y = 0 = h(t) = -16t^2 + 113t + 65.
Application of the quadratic formula is the easiest approach here. Note that a = -16, b = 113 and c = 65.
The discriminant is b^2-4ac, or, in this case, 113^2 - 4(-16)(65) = 16929.
Because the discriminant is positive, we confirm that this equation has two real, unequal roots.
The time values are as follows:
-113 ± √16929
t = --------------------- = -17.11/ (-32) sec, which we must reject
-32
because time in
this situation may not be (-).
The other root is:
-113 ± √16929
t = --------------------- = 7.6 sec
-32
The ball hits the ground after 7.6 sec.
What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14?
−8
−1
1
8
Answer:
Step-by-step explanation:
3x+2(x-9)=8x+x-14
3x+2-9x=8x+x-14
add3xand-9x
-6x+2=8X+x-14
8X +X=9X
-6X+2=9X-14
+6X to both sides
2=3x-14
subtract 2 on both sides
3x/-12
the answer is -8
Answer:
The actual answer is 1!
Step-by-step explanation
2logx=3-2log(x+3) solve for x
Answer:
[tex]\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}[/tex]
Step-by-step explanation:
[tex]2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}[/tex]
[tex]x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D[/tex]
A class contains 13 girls and 15 boys.
What is the ratio of boys to girls?
How many students are there in all?
What fraction of the students are girls?
Answer:
The ratio is 15:13 (15 boys to 13 girls).
There are 28 students in all
13/28 of the students are girls.
Step-by-step explanation:
For the ratio, you simply need to put the information on the correct side of the colon [:]. The total amount of students is calculated by adding the numbers together. Finally, the fraction of girls in the class is found by adding the number of girls above the number of total students.
Answer:
Given:
Number of girls in class = 13
Number of boys in class = 15
Ratio of boys to girls,
[tex]\frac{Number\:of\:boys}{Number\:of\:girls}=\frac{15}{13}[/tex]
Ratio = 15 : 13
⇒ Total number of student = 13 + 15 = 28
Fraction of students are girls = [tex]\frac{13}{28}[/tex]
4 people divide 10 scoops of lentils equally.
How many scoops of lentils does each person get?
Answer:
Step-by-step explanation:
0.25
Answer:
Between 2 and 3 scoops
and 10 divided by 4
Step-by-step explanation:
41,692.58
What place is the 6 in, in the number above?
A) hundreds
B) ones
C) tens
D) thousands
The correct answer is A. Hundreds. I hope this helps : )
A is the correct answer
Suppose Jawan works 6 days. Using a rule that relates the hours worked to the amount earned if he work 36 hours
Answer:
huh
Step-by-step explanation:
The ratio of the volumes of the similar solids is _____ 25:1 5:1 125:1
The ratio of the surface areas of the similar solids is _____ 125:1 5:1 25:1
The ratio of the heights of the similar solids_____ 125:1 5:1 25:1
Two spheres with different radii measurements are_____ similar (always, never sometimes)
The length of the diameter of a sphere is 8 inches. The volume of the sphere is____ the surface area of the sphere. (less than, greater than, equal to)
Answer:
Part 1)
a) The ratio of the heights of the similar solids is 5/1
b) The ratio of the surface areas of the similar solids is (5/1)²=25/1
c) The ratio of the volumes of the similar solids is (5/1)³=125/1
Part 2) Two spheres with different radii measurements are always similar
Part 3) The volume of the sphere is greater than the surface area of the sphere
Step-by-step explanation:
Part 1) we know that
The ratio of the corresponding heights of the similar solids is equal to the scale factor
The ratio of the surface areas of the similar solids is equal to the scale factor squared
The ratio of the volumes of the similar solids is equal to the scale factor elevated to the cube
In this problem
The scale factor is 5/1
therefore
a) The ratio of the heights of the similar solids is 5/1
b) The ratio of the surface areas of the similar solids is (5/1)²=25/1
c) The ratio of the volumes of the similar solids is (5/1)³=125/1
Part 2)
we know that
Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.
In this problem to prove that two spheres are similar, a translation and a scale factor (from a dilation) will be found to map one sphere onto another.
therefore
Two spheres with different radii measurements are always similar
Part 3) The length of the diameter of a sphere is 8 inches
The volume of the sphere is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]r=8/2=4\ in[/tex] -----> the radius is half the diameter
substitute
[tex]V=\frac{4}{3}\pi (4)^{3}[/tex]
[tex]V=85.33\pi\ in^{3}[/tex]
The surface area of the sphere is equal to
[tex]SA=4\pi r^{2}[/tex]
substitute
[tex]SA=4\pi (4)^{2}[/tex]
[tex]SA=64\pi\ in^{2}[/tex]
therefore
The volume of the sphere is greater than the surface area of the sphere
Pre-image point N(6, -3) was dilated to point N'(2, -1). What was the scale factor used?
What is the midpoint between (-8, 5) and (2, -2)?
The scale factor used for the dilation from N to N' is 1/3. The midpoint between the points (-8, 5) and (2, -2) is (-3, 1.5).
Explanation:To find the scale factor used to dilate point N(6, -3) to N'(2, -1), we compare the coordinates directly since the transformation scales both the x and y components equally.
Using the x-coordinates (6 to 2), the scale factor can be calculated as the ratio of N' to N, which is 2/6 or 1/3.
Similarly, using the y-coordinates (-3 to -1), we would also arrive at a scale factor of 1/3, confirming our result.
To find the midpoint between two points, (-8, 5) and (2, -2), we use the midpoint formula ((x1 + x2)/2, (y1 + y2)/2).
Substituting the relevant coordinates, the midpoint is calculated as ((-8 + 2)/2, (5 + (-2))/2) which simplifies to (-3, 1.5).
Therefore, the midpoint is (-3, 1.5).
To determine the scale factor used for the dilation of point N to N', you must find the ratio of the image coordinates to the pre-image coordinates. Since the dilation is defined by N(6, -3) transforming to N'(2, -1), you calculate the scale factor as follows:
For the x-coordinates:
The pre-image, N, has an x-coordinate of 6, and the image, N', has an x-coordinate of 2. Therefore, the scale factor in the x-direction is:
\[ \text{Scale factor}_x = \frac{N'_{x}}{N_{x}} = \frac{2}{6} = \frac{1}{3} \]
Now for the y-coordinates:
The pre-image, N, has a y-coordinate of -3, and the image, N', has a y-coordinate of -1. So the scale factor in the y-direction is:
\[ \text{Scale factor}_y = \frac{N'_{y}}{N_{y}} = \frac{-1}{-3} = \frac{1}{3} \]
The x and y scale factors are equivalent, which suggests uniform scaling. Thus, the scale factor used in the dilation is \(\frac{1}{3}\).
To find the midpoint between two points, you calculate the average of the x-coordinates and the y-coordinates separately. Let's find this midpoint for the points (-8, 5) and (2, -2):
For the x-coordinates:
The average of the x-coordinates of the two points is:
\[ \text{Midpoint}_x = \frac{(-8) + 2}{2} = \frac{-6}{2} = -3 \]
For the y-coordinates:
The average of the y-coordinates of the two points is:
\[ \text{Midpoint}_y = \frac{5 + (-2)}{2} = \frac{3}{2} = 1.5 \]
So, the midpoint between the points (-8, 5) and (2, -2) is (-3, 1.5).
Wendy made two rectangular prism jewelry boxes, one small and one large. The dimensions of the large jewelry box are three times
the dimensions of the small jewelry box. If the surface area of the small jewelry box is 103 cm, what is the surface area of the large
jewelry box?
A. 618 cm
B. 927 cm
C.
309 cm
D. 2,781 cm2
Answer:
309 Cm.
Step-by-step explanation:
Since the dimensions of the Large Jewelry Box is tripled, and all the sides are only added together, the answer of the question is simply the Surface Area of the Small Jewelry Box x 3.
103 x 3 OR 103 + 103 + 103 = 309.
_______________________________________
100 + 100 + 100 = 300
3 + 3 + 3 = 9
300 + 9 = 309.
What’s the answer to this ?
Answer:
x = 17
Step-by-step explanation:
Since the triangles are similar then corresponding angles are congruent.
∠ I = ∠P ← substitute values and solve for x
3x + 4 = 72 - x ( add x to both sides )
4x + 4 = 72 ( subtract 4 from both sides )
4x = 68 ( divide both sides by 4 )
x = 17
What is the equation of a circle with center (-3,-5) and radius 4?
A. (x+3)2 + (y + 5)2 = 4
B. (x-3)2 + (y- 5)2 = 4
C. (x-3)2 + (y-5)2 = 16
D. (x+3)2 + (y + 5)2 = 16
Answer:
D ans
Step-by-step explanation:
equation of circle=(x-h)^2+(y-k)^2=r^2
Answer:
(x+3)2 + (y + 5)2 = 16
Step-by-step explanation:
the graph shows 2 sides and 3 vertices of a parallelogram.
which point best represents the 4th vertex of the parallelogram
A. (6,4)
B. (7,4)
C. (7,5)
D. (8,5)
The fourth point would need to be at the top and in line horizontally with The point at (3,4) so the Y value needs to be 4.
The first top red dot is 2 units to the right of the lower dot, so the 4th dot needs to be 2 units to the right on the other lower dot.
The 4th point needs to be at (7,4)
The answer is B.
Answer:
b 7,4
Step-by-step explanation:
Covington, Georgia has a total area of 13.9 square miles and a population of 11,547 people. What is the population density of the city?
Answer: 830.7 per square mile.
Step-by-step explanation:
The formula for population density is Number of people divided by total area.
11,547 divided by 13.9 is 830.7.
Hope this helps!
The population density of Covington, Georgia is calculated by dividing the total population (11,547 people) by the total area (13.9 square miles). The result is approximately 830.79 people per square mile.
Explanation:The population density of a place is calculated by dividing the total population by the total area. In this case, Covington, Georgia, has a total population of 11,547 people and a total area of 13.9 square miles. Thus, to determine the population density, we will use the following formula: Population Density = Total Population / Total area.
By substituting our given numbers into this formula, we would get: Population Density = 11,547 / 13.9. This calculation results in a population density of approximately 830.79 people per square mile for Covington, Georgia.
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find the slope of the line that passes through the points (-4,2) and (2,6)
Answer:
[tex]\large\boxed{\text{The slope}\ m=\dfrac{2}{3}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-4, 2) and (2, 6). Substitute:
[tex]m=\dfrac{6-2}{2-(-4)}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]
A board is made up of 9 squares. A certain number of pennies is placed in each
square, following a geometric sequence. The first square has 1 penny, the second
has 2 pennies, the third has 4 pennies, etc. When every square is filled, how many
pennies will be used in total?
A
512
B
511
256
D
81
Answer:
B) 511
Step-by-step explanation:
1. How many pennies are in the last square:
Sequence: # of pennies = 2^(box # - 1)
Plug in: # = 2⁸
Solve: # of pennies in box 9 = 256
2. Process of elimination:
Not C or D, since the total must be greater than 256.
So the answer is B, not A, since 2⁰ + 2¹ ... 2⁷ = 2⁸ + 1.
Final answer:
Using the formula for the sum of a geometric sequence, we find that a total of 511 pennies will be placed on the board after the 9 squares are filled, following the sequence where each square has double the pennies of the previous one.
Explanation:
The student is asked to calculate the total number of pennies used when they are placed in each of the 9 squares of a board following a geometric sequence, starting with 1 penny and doubling the amount in each subsequent square. To find the total, we use the formula for the sum of the first n terms of a geometric sequence, which is Sn = a1(1 - [tex]r^{n}[/tex])/(1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.
In this case, a1 = 1 (first square), r = 2 (doubling each time), and n = 9 (nine squares). Therefore, the sum is:
[tex]S_{9}[/tex] = 1(1 - [tex]2^{9}[/tex])/(1 - 2) = 1(1 - 512)/(-1) = 511 pennies.The correct answer is B: 511 pennies will be used in total when every square is filled.
Which equation represents a circle at (-3,-5) and radius of 6 units
Answer:
The equation of the circle is (x + 3)² + (y + 5)² = 36
Step-by-step explanation:
* Lets revise the standard form of the equation of the circle
- The center-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r², where the center is the point (h, k) and
the radius is r.
- This form of the equation is helpful, because you can easily find
the center and the radius.
* Now lets solve the problem
∵ The center of the circle is (-3 , -5)
∵ The center of the circle in the equation is (h , k)
∴ h = -3
∴ k = -5
∴ The equation of the circle is (x - -3)² + (y - -5)² = r²
∴ The equation is (x + 3)² + (y + 5)² = r²
* Now lets find the value of r²
∵ The length of the radius of the circle is 6 units
∴ r = 6
∴ r² = (6)² = 36
∴ The equation of the circle is (x + 3)² + (y + 5)² = 36
what is the adverage of the numbers 12 13 13?
Answer:12.66667
Step-by-step explanation:
Answer:
Average = (sum of numbers) ÷ (the amount of numbers)
a = (12 + 13 + 13) ÷ 3
a = 38/3 = 12.6...
In triangle DEF, FE = 12 and angle D=62. Find DE to the nearest tenth.
Answer:
about 13.6
Step-by-step explanation:
Assuming DEF is a right triangle, you use trig functions to solve this problem. Out on sin, cos, and tan, sin would work for this problem. You plug in the numbers and put it into a calculator. This gives you the answer after you round to the nearest tenth. See work for more.
Answer: 6.4
Step-by-step explanation: trust
Jennifer has $26 less than triple the savings of Matthew. Matthew has saved $81. How much has Jennifer Saved?
To find out how much Jennifer has saved, you start by tripling the amount Matthew has saved, which is $81. Then you subtract $26 from the result to get $217. Therefore, Jennifer has saved $217.
Explanation:From the problems statement, we can model Jennifer's savings using the mathematical model, where Jennifer's savings is equal to triple Matthew's savings minus $26. Given that Matthew’s savings amount to $81, we can multiply Matthew's savings by three, which equals $243. Then, to find Jennifer's savings, we subtract $26 from $243 resulting in $217. Therefore, Jennifer has $217 saved.
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Let f(x) = Square root of 6x and g(x) = x - 3. What's
the smallest number that is in the domain of
fºg?
For this case we have the following equations:
[tex]f (x) = \sqrt {6x}\\g (x) = x-3[/tex]
We must find [tex](f_ {o} g) (x):[/tex]
By definition of composition of functions we have to:
[tex](f_ {o} g) (x) = f (g (x))[/tex]
So:
[tex](f_ {o} g) (x) = \sqrt {6 (x-3)}[/tex]
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:
[tex]6 (x-3) \geq0\\(x-3) \geq0\\x \geq3[/tex]
Then, the domain is given by [3, ∞)
Answer:
The smallest number that is the domain of the composite function is 3
Answer: on Plato I got it wrong for the answer 3
Step-by-step explanation:
Connie has to solve the following problem.
5 boxes of cereal costs $12.50. How much will 18 boxes cost.
Choose EVERY proportion Connie could use to solve this problem.
= 12.50
12.50
13,5 = 18
Answer:
Step-by-step explanation:
= 12.50
12.50
13,5 = 18
To solve the problem, Connie can use the concept of proportion by setting up an equation with the given ratios.
By cross-multiplying and solving for x, the cost of 18 boxes of cereal can be determined.
Explanation:To solve this problem, Connie can use the concept of proportion.
A proportion is an equation that states that two ratios are equal.
In this case, the ratio of the cost of 5 boxes of cereal to the number of boxes is equal to the ratio of the cost of 18 boxes of cereal to the number of boxes.
Let's set up the proportion:
5 boxes / $12.50 = 18 boxes / x
To solve for x, we can cross-multiply:
5x = 18 * $12.50
Now, divide both sides by 5 to isolate x:
x = (18 * $12.50) / 5
Calculate the value of x to find the cost of 18 boxes of cereal.
PLEASE HELP! WHAT'S X??? URGENT!
Answer:
4
Step-by-step explanation:
The first thing you need to do is find the geometric mean between 2 and 6.
That is the ratio that they hypotenuse of the largest triangle is divided into.
altitude^2 = 2* 6
altitude^2 = 12
altitude = sqrt(12)
altitude = 2 sqrt(3)
Now use Pythagorus to find x
x^2 = 2^2 + altitude^2
x^2 = 2^2 + 12
x^2 = 4 + 12
x^2 = 16
x = 4
A circle has an area of 324π cm2. What is the radius? a. 18 cm c. 18π cm b. 36π cm d. 36 cm
Answer:
a. 18 cm
Step-by-step explanation:
We are given that a circle has an area of 324π cm2. We are required to determine its radius. The formula for the area of a circle with radius r units is;
[tex]A=pi*r*r[/tex]
We plug in the area given and solve for r;
[tex]324pi=pi*r^{2}\\\\r^{2}=324\\\\r=18[/tex]
The radius of the circle is 18 cm
Answer:
a. 18 cm
Step-by-step explanation:
Area of a circle is given by: A=πr²
where r is the radius and A the area.
therefore we substitute A with the value for the area in the question.
324π=πr²
cancelling the factor π on both sides gives: 324=r²
√324=r
r=18cm
The total cost of renting a movie for different numbers of days is shown in the table.
Which equation was used to create this table?
look at this table
The equation that fits this pattern is: [tex]\[ \text{Total Cost} = 3 \times (\text{Number of Days}) + 2 \][/tex]
The table depicts a linear relationship between the number of days a movie is rented and its total cost.
To identify the equation used to create this table, we can observe that each additional day increases the total cost by a constant amount.
Considering the initial cost and the rate of increase, we can formulate the equation. In this case, the initial cost appears to be $2, and for each additional day beyond the first, the cost increases by $3.
Therefore, the equation that fits this pattern is:
[tex]\[ \text{Total Cost} = 3 \times (\text{Number of Days}) + 2 \][/tex]
This equation represents a constant rate of increase of $3 per day, plus the initial cost of $2.
Thus, it accurately models the relationship between the number of days and the total cost.
The probable question may be:
The total cost of renting a movie for different numbers of days is shown in the table.
Which equation was used to create this table?
| Number of Days | Total Cost |
|----------------|------------|
| 1 | $5 |
| 2 | $8 |
| 3 | $11 |
| 4 | $14 |
| 5 | $17 |
3,125=5^-10+3x What does x equal
Answer:
x = 30517578124/29296875
Step-by-step explanation:
Solve for x:
3125 = 3 x + 1/9765625
Put each term in 3 x + 1/9765625 over the common denominator 9765625: 3 x + 1/9765625 = (29296875 x)/9765625 + 1/9765625:
3125 = (29296875 x)/9765625 + 1/9765625
(29296875 x)/9765625 + 1/9765625 = (29296875 x + 1)/9765625:
3125 = (29296875 x + 1)/9765625
3125 = (29296875 x + 1)/9765625 is equivalent to (29296875 x + 1)/9765625 = 3125:
(29296875 x + 1)/9765625 = 3125
Multiply both sides of (29296875 x + 1)/9765625 = 3125 by 9765625:
(9765625 (29296875 x + 1))/9765625 = 9765625×3125
(9765625 (29296875 x + 1))/9765625 = 9765625/9765625×(29296875 x + 1) = 29296875 x + 1:
29296875 x + 1 = 9765625×3125
9765625×3125 = 30517578125:
29296875 x + 1 = 30517578125
Subtract 1 from both sides:
29296875 x + (1 - 1) = 30517578125 - 1
1 - 1 = 0:
29296875 x = 30517578125 - 1
30517578125 - 1 = 30517578124:
29296875 x = 30517578124
Divide both sides of 29296875 x = 30517578124 by 29296875:
(29296875 x)/29296875 = 30517578124/29296875
29296875/29296875 = 1:
Answer: x = 30517578124/29296875
For this case:
We rewrite the equation as:
[tex]5 ^ {- 10 + 3x} = 3.125[/tex]
We find ln on both sides of the equation to remove the exponent variable:
[tex]ln (5 ^ {- 10 + 3x}) = ln (3,125)[/tex]
Applying properties of logarithm we have:
[tex](-10 + 3x) ln (5) = ln (3.125)[/tex]
We apply distributive property:
[tex]-10ln (5) + 3xln (5) = ln (3,125)[/tex]
We clear the value of "x":
[tex]3xln (5) = ln (3,125) + 10ln (5)\\x = \frac {ln (3.125)} {3ln (5)} + \frac {10ln (5)} {3ln (5)}\\x = \frac {ln (3.125)} {3ln (5)} + \frac {10} {3}[/tex]
ANswer:
[tex]x = \frac {ln (3.125)} {3ln (5)} + \frac {10} {3}[/tex]
PLEASE HELPPPPPPPP! THANK YOU!
The formula for area of a circle is:
A = [tex]\pi r^{2}[/tex]
In this case the radius is 7.4 cm so...
pi * 7.4^2
pi * 54.76
172.0033
so...
172.0 cm^2
Hope this helped!
~Just a girl in love with Shawn Mendes
A square patio has an area of 206 square feet. How long is each side of the patio to the nearest 0.05?
To find the length of the side of a square using area, find the square root of the area.
Side = √206 = 14.35 feet.
The equation ac=5 represent a(n) ___ variation
Answer:
Direct Variation
Step-by-step explanation:
The relationship between two variables such that y = kx if k is a nonzero number. Also, as one quantity increases, the second quantity increases or as one quantity decreases, the second quantity decreases. Therefore ac=5 is a direct variation