The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. When the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
Given that,
The bottom of a 25 feet ladder is propped up against a wall, which is 7 feet away. A feet per second of the ladder's bottom begins to slide away from the wall.
We have to find when the ladder is 15 feet above the ground, how many feet per second is the top of the ladder falling down the wall.
Let us take x = height where the ladder hits the building
7 squared + x squared=25 squared
49+x squared=625
x squared=576
x=24 feet
Now,
If it slips 15 feet that 24-15=9 feet
Let x = distance from wall:
x² + 9² = 25²
x² + 81= 625
x² = 544
x = 23.3 feet
Therefore, when the ladder is 15 feet above the ground, 23.3 feet per second is the top of the ladder falling down the wall.
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Use the information given to enter an equation in standard form.Slope is -9, and (3,2) is on the line.
Firts get the equation
Second, write the equation in form of Ax +
Please answer the 3 questions in the photo! ( 30 points + brainliest )
The required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1.
The sum of the vertical angle is 180°. So,
∠A + ∠B = 180
Substitute value in the above equation,
x + 4x - 24 = 180
5x - 24 = 180
5x = 204
x = 204 / 5
x = 40.8°
∠A = 40.8°
Similarly,
2. ∠L = 83°
3. ∠J = 95°
Thus, the required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.
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For a science fair project, Cora tracked the temperature each day. Temperature reading (°C) Number of temperature readings 6 2 22 3 25 1 35 1 2 42 1 X is the temperature that a randomly chosen temperature reading was. What is the expected value of X? Write your answer as a decimal.
We get that the expected temperature is
[tex]\begin{gathered} E(T)=6\cdot\frac{2}{10}+22\cdot\frac{3}{10}+25\cdot\frac{1}{10}+35\cdot\frac{1}{10}+41\cdot\frac{2}{10}+42\cdot\frac{1}{10} \\ E(T)=26.2 \end{gathered}[/tex]Write your answer as a fraction in simplest form.
910+(−45)=
Answer:
-44.09
Step-by-step explanation:
Trust bro i am passing collage math at 15
How do you solve this
Answer: wut
Step-by-step explanation: wut
Find the union, AUB, for of the following pair of sets. Enter "DNE" for the empty set.A = (-∞, - 5], B = [5, ∞)
Given
Two sets A = (-∞, - 5], B = [5, ∞)
Find
union, AUB
Explanation
Union of two sets A and B is the set of all elements that are present in A or in B
so , here A = (-∞, - 5], B = [5, ∞)
then union of set A and B is given by
[tex]A\cup B=(-\infty,-5]\cup[5,\infty)[/tex]Final Answer
Therefore., the union of A and B is (-∞, - 5] U [5, ∞)
The coordinates of the vertices of a quadrilateral are P (5,2), S (5,-6), H(-6-1), and B (-6,4). The figure is rotated 360° counterclockwise with the origin as the center of rotation to create quadrilateral P'S'H'B'
What are the coordinates of the vertices of quadrilateral P’S’H’B’?
P’ =
S’ =
H’ =
B’ =
Look at this graph What is the equation of the line in point slope form? Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form. y - ____ = ____ (x - ____)
EXPLANATION
Given the line on the graph, we need to find the slope and the y-intercept.
Considering two ordered pairs, as for instance (x₁,y₁)=(50,-90) and (x₂,y₂)=(80,90)
The slope-equation is:
[tex]\text{Slope}=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]Replacing terms:
[tex]\text{Slope}=\frac{(90-(-90))}{(80-50)}=\frac{180}{30}=\frac{18}{3}=6[/tex]The point-slope form of the line is:
y-y₁= m(x-x₁)
Finally, we need to represent as a point-slope form considering either one ordered pair, as for instance, (x₁,y₁)=(50,-90)
y-(-90) = 6(x-50) [Simplifying terms]
y + 90 = 6(x-50) [ANSWER]
A population grows according to an exponential growth model. The initial population is P0=9, and the growth rate isr=0.4.Then:P1 = P2 = Find an explicit formula for Pn. Your formula should involve NPn = Use your formula to find P9=Give all answers accurate to at least one decimal place
Answer:
From the question,
[tex]\begin{gathered} P_0=9 \\ r=0.4 \end{gathered}[/tex]The formula for the growth rate will be calculated using the formula below
[tex]\begin{gathered} F=P(1+r)^n \\ F=\text{future value} \\ P=present\text{ value} \\ r=\text{growth rate} \\ n=nu\text{mber of times per period} \end{gathered}[/tex]In,
[tex]\begin{gathered} P_0,n=0 \\ P_1,n=1 \\ P_2,n=2 \\ P_9,n=9 \end{gathered}[/tex]Given that
[tex]\begin{gathered} P_0=9 \\ F=P(1+r)^n \\ P_0=9(1+0.4)^0 \\ P_0=9\times1 \\ P_0=9 \end{gathered}[/tex][tex]\begin{gathered} F=P(1+r)^n \\ P_1=9(1+0.4)^1 \\ P_1=9\times1.4 \\ P_1=12.6 \end{gathered}[/tex]Hence,
P1 = 12.6
Also, we will have P2 to be
[tex]\begin{gathered} F=P(1+r)^n \\ P_2=9(1+0.4)^2 \\ P_2=9\times1.4^2 \\ P_2=17.64 \\ P_2\approx1\text{ decimal place} \\ P_2=17.6 \end{gathered}[/tex]Hence,
P2 = 17.6
Therefore,
The formula for Pn will be represented below as
[tex]\begin{gathered} P_n=9(1+0.4)^n \\ P_n=9(1.4)^n \end{gathered}[/tex]The explicit formula for Pn will be
[tex]P_n=9(1.4)^n[/tex]To figure out the values of P9. we will substitute the value of n=9 in the equation below
[tex]\begin{gathered} P_n=9(1.4)^n \\ P_9=9(1.4)^9 \\ P_9=185.9 \end{gathered}[/tex]Hence,
P9 = 185.9
Two cities A and B are shown on diagram. every 1 cm = 4 km.
1) Find scale
2) Find distance between A and B
3) "C" city is in west 12km from A, 20km from B. Locate "C" on diagram.
1. The scale is of 1:400,000.
2. The distance between A and B is of 36 km.
3. The diagram with city C is given at the end of the answer.
What is a scale?The scale of a drawing is how much each unit in the drawing represents in actual distance.
In the context of this problem, the scale is given as follows:
1 cm = 4 km
Meaning that each cm drawn represents 4 km of actual distance.
Using the same unit, we have that:
4 km = 4 x 100,000 cm = 400,000 cm.
Hence the scale is given by:
1:400,000.
Measuring on the drawing, the distance between A and B is of 9 cm, hence, applying the scale, the real distance is of:
9 x 4 km = 36 km.
In the diagram, considering the given scale, we want to position city C 3 cm from City A, to the west = to the left.
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What is 3,972/by 41 I need it fast thanks
Step-by-step explanation:
3972/41 the answer of this is
=96.87
2. Kieran, Jermaine and Chris play football. Kieran scored 8 more goals than Chris Jermaine scored 5 more goals than Kieran. Altogether they have scored 72 goals. How many goals did they each score?
Answer:
Step-by-step explanation:
k = x+8
c= x+5
j= x+5
3x+18=72
x = 18
Chris = 23
Kieran = 26
Jermaine = 23
Answer:
Chris = 17 goals
Kieran = 25 goals, and
Jermaine = 30 goals
Step-by-step explanation:
Let K, J, and C stand for the goals scored by Kieran, Jermaine, and Chris, respectively.
We learn that:
K = C + 8 [Kieran scored 8 more goals than Chris]
J = K + 5 [Jermaine scored 5 more goals than Kieran]
K + J + C = 72 [Altogether they have scored 72 goals]
-----
We have 3 equations and 3 unknowns. Therefore, we should be able to find a solution by rearranging and substituting.
Let's start with K + J + C = 72 and find ways to eliminate two of the three variables.
We can substitute for K since K = C + 8
K + J + C = 72
(C+8) + J + C = 72
Rearrange:
2C+8 + J = 72
We can also substitute for J since J = K + 5
2C+8 + J = 72
2C+8 + (K + 5) = 72
Again, we can substitute for K since (K = C + 8)
2C+8 + (C+8) + 5 = 72
2C+8 + (C+8) + 5 = 72
3C +21 = 72
3C = 51
C = 17
---
Since C = 17, we can find K with K = C + 8
K = C + 8
K = 17 + 8
K = 25
---
Since K = 25, we can find J with J = K + 5
J = K + 5
J = 25 + 5
J = 30
===
We find:
C (Chris) = 17 goals
K (Kieran) = 25 goals, and
J (Jermaine) = 30 goals
17 + 25 + 30 = 62 total goals.
Draw the graph of y = 2x-4 where x E {-2; "-1;" 0; 1; 2}:
Graph is attached below.
Given,
y = 2x - 4
We have to draw a graph according to this
Here,
x E {-2; "-1;" 0; 1; 2}:
Image is attached.
How to draw a graph?
First, label and draw your X and Y axes at a straight angle. Axis Y is vertical, whereas axis X is horizontal. Write the scale for each axis down the line and mark the junction as 0, then draw a line. Calculate the values of Y for various values of X after drawing the axes.
So, the graph is given below.
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Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 200 minutes and the cost was $75.00. In July she used 680 minutes and the cost was $195.00.
We are given that Jane used 200 minutes and the cost was $75, and also she used 680 minutes and the cost was $195. To determine a function of the cost "C" as a function of the minutes "x" we will assume that the behavior of this function is that of a line. Therefore, the function must have the following form:
[tex]C(x)=mx+b[/tex]Where "m" is the slope and "b" the y-intercept. We will determine the slope using the following formula:
[tex]m=\frac{C_2-C_1}{x_2-x_1}[/tex]Where:
[tex](x_1,C_1),(x_2,C_2)[/tex]Are points in the line. The given points are:
[tex]\begin{gathered} (x_1_{},C_1)=(200,75) \\ (x_2,C_2)=(680,195) \end{gathered}[/tex]Substituting in the formula for the slope we get:
[tex]m=\frac{195-75}{680-200}[/tex]Solving the operations we get:
[tex]m=\frac{120}{480}=\frac{1}{4}[/tex]Now we substitute in the formula for the line:
[tex]C(x)=\frac{1}{4}x+b[/tex]Now we determine the value if "b" by substituting the first point. This means that when C = 200, x = 75.
[tex]200=\frac{1}{4}(75)+b[/tex]Solving the product:
[tex]200=18.75+b[/tex]Now we subtract 18.75 from both sides:
[tex]\begin{gathered} 200-18.75=b \\ 181.25=b \end{gathered}[/tex]Therefore, the formula of the cost is:
[tex]C(x)=\frac{1}{4}x+181.25[/tex]Part B. We are asked to determine the cost is there is a consumption of 323 minutes. To do that we will substitute in the formula for "C" the value of x = 323.
[tex]C(323)=\frac{1}{4}(323)+181.25[/tex]Solving the operations we get:
[tex]C(323)=262[/tex]Therefore, the cost is $262.
Answer:
Step-by-step explanation:
We will make use of algebra here.
First of all, we know that the monthly fee will be the same throughout all the months.
So, let's consider that cost to be the yet-to-find constant: [tex]a[/tex].
A charge is accumulated for every minute on the call, so let's consider that minutely charge to be the constant: [tex]b[/tex].
[tex]x[/tex] is the number of minutes spent on the call.
So, the total charge after talking for [tex]x[/tex] minutes would be:
[tex]b \times x\\=bx[/tex]
The monthly cost is the sum of the monthly fee and the total charge.
So, if this is represented mathematically, we get:
[tex]C(x)= a+bx[/tex]
A piece of information that we have is that, after calling for 200 minutes (which means [tex]x=200[/tex]), the monthly cost ( [tex]C(x)[/tex] ) would be $75.
Upon substituting these values in the equation we found above, we get:
[tex]C(x)=a+bx\\\\75=a+200b[/tex]
Similarly, we have another piece of information, which states that calling for 680 minutes ([tex]x=680[/tex]) produced a monthly cost of $195.
Upon substituting these values in the equation we found above, we get:
[tex]C(x)=a+bx\\\\195=a+680b[/tex]
And, thus we have found a system of equations:
[tex]a+200b=75\\a+680b=195[/tex]
For the first equation, let's make [tex]a[/tex] the subject:
[tex]a+200b=75\\\\a+200b-200b=75-200b\\\\a=75-200b[/tex]
Substitute this expression for [tex]a[/tex] into the second equation:
[tex]a+680b=195\\\\75-200b+680b=195\\\\75+480b=195[/tex]
Find the value of [tex]b[/tex] using this equation:
[tex]75+480b=195\\\\75+480b-75=195-75\\\\480b=120\\\\\frac{480b}{480}=\frac{120}{480}\\\\b=\frac{1}{4}[/tex]
Insert the value for [tex]b[/tex] into the expression for [tex]a[/tex]:
[tex]a=75-200b\\\\a=75-200(\frac{1}{4})\\\\a=75-50\\\\a=25[/tex]
Since we have the values for the constants [tex]a[/tex] and [tex]b[/tex], we can complete the function/equation [tex]C(x)[/tex]:
[tex]C(x)=a+bx\\\\C(x)=25+\frac{1}{4}x[/tex]
So, the answer for (A) is:
[tex]C(x)=25+\frac{1}{4}x[/tex]
For (B), we have to find the monthly bill/cost ( [tex]C(x)[/tex] ) when 323 minutes have been spent on calling.
So, we just have to substitute [tex]x[/tex] for 323, since [tex]x[/tex] represents the number of minutes spent on calling:
[tex]C(x)=25+\frac{1}{4}x\\\\C(x)=25+\frac{1}{4}(323)\\\\C(x)=25+80.75\\\\C(x)=100.75[/tex]
The answer for (B) is [tex]\$100.75[/tex]
Describe the transformation.y = (x + 7)2 - 4
The parent function of the quadratic function is
[tex]y=x^2[/tex]∵ x is added by 7
∴ The graph of the function is translated 7 units to the left
∴ The image of the function will be
[tex]y=(x+7)^2[/tex]∵ The function is added by -4
∴ The graph of the function translated 4 units down
∴ The image of the function will be
[tex]y=(x+7)^2-4[/tex]The transformation is
Shift 7 units left and shift down 4
The answer is D
Solve The Equation, x= ?
Answer:
x=1Step-by-step explanation:
To solve the equation of 7/3x+1/3x=1+5/3x, isolate the term of x from one side of the equation.
First, you subtract by 5/3x from both sides.
[tex]\rightarrow \sf{\dfrac{7}{3}x+\dfrac{1}{3}x-\dfrac{5}{3}x=1+\dfrac{5}{3}x-\dfrac{5}{3}x}[/tex]
Solve.
[tex]\rightarrow \boxed{\sf{x=1}}[/tex]
Therefore, the solution is x=1, which is our answer.
I hope this helps, let me know if you have any questions.
3w = 7.68 solve for w
Answer: w=2.56
Step-by-step explanation:
7.68/3=2.56
2.1. AP-8 Write the integer value that point B represents, then write its opposite. B - 10 5 5 10 Point B represents the integer
In the line, the point B represents the integer -3, because it is 3 units left from 0.
Its opposite is the number 3, that is 3 units right from 0.
A television normally
costs $1,420. Due to
a store sale, the
television is now $994.
What was the
percentage taken off
the television?
A 30% percentage of the total price was taken off the TV.
What is the percentage?By dividing the value by the total value and multiplying the result by 100, one can determine the percentage. The percentage calculation formula is (value/total value)100%. A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.So, the percentage is taken off from TV:
$1,420 - $994 = $426
Formula: (original price - decreased price)/original price × 100
Now, substitute values as follows:
(1420 - 994)/1420 × 100994/1420 × 1000.7 × 10070%Now, 100% - 70% = 30%
Therefore, a 30% percentage of the total price was taken off the TV.
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In ▲ABC, side AC is extended through C to D. If m<dcb=50 which is the longest side of triangle abc?
Answer:
AB
Step-by-step explanation:
the angles DCB and ACB are supplementary angles (together 180°).
simply because the sum of all angles around a single point on one side of a line is suggests 180° (it represents a half-circle).
so, the inner angle ACB is
ACB = 180 - 50 = 130°
because the sum of all angles in a triangle is also always 180°, there are only 50° left for the other 2 angles.
so, the inner angle at C is clearly the largest angle in the triangle ABC.
the larger an angle, the longer the opposing side.
the largest angle has the longest opposing side in the triangle.
the opposing side of the inner angle C is AB. and that is therefore the longest side in the triangle ABC.
2. What is the equation of a line that passes through the points (-0.92, 2.49) and (-5.62, 9.76)? Write your answer in point-slope form.
Answer:
Step-by-step explanation:
-0.92 2.49
-5.62 9.76
Rise = 9.76 - 2,49 = 7.27
Run: -5.62 - (-0.92) = -4.7
Slope (Rise/Run) = (7.27.`-0.92) = -1.55
The line has the form:
y = 1.55x + b
We need to find a value of b that forces the line through both point, Use one of the points and solve for b. I'll use (-0.92, 2.49).
y = 1.55x + b
2.49 = 1.55(-0.92) + b
b = 2.49 - 1.426 = 1.064
The equation is y = 1.55x + 1.0
Darnell and emma are college students . darnell currently has 22 credits and he plans on taking 6 credits per semester . emma has 4 credits and plans to take 12 credits per semester . after how many semesters , s will darnell and emma have the same number of credits ?
After 3 semesters Darnell and Emma have same number of credits as 40.
Given,
Current credit score of Darnell = 22
Current credit score of Emma = 4
Darnell plans to score a credit per semester = 6
Emma plans to score a credit per semester = 12
Now, we have to find that after how many semesters will Darnell and Emma have the same number of credits .
Here,
Current credit score of Darnell = 22
Current credit score of Emma = 4
After 1 semester,Credit score of Darnell = 22 + 6 = 28
Credit score of Emma = 4 + 12 = 16
After 2 semester,Credit score of Darnell = 28 + 6 = 34
Credit score of Emma = 16 + 12 = 28
After 3 semester,Credit score of Darnell = 34 + 6 = 40
Credit score of Emma = 28 + 12 = 40
That is,
After 3 semesters Darnell and Emma have same number of credits as 40
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need help on this, thanks
In the pair of given angles, the value of 2x and x is 52° and 26°.
What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.So, the value of 2x and x:
We know that the given pair of angles is an exterior alternate angle.A pair of exterior alternate angles is always 180°.Now, solve for x and 2x as follows:
2x + 128 = 1802x = 180 - 1282x = 52°x = 52/2x = 26°Therefore, in the pair of given angles, the value of 2x and x is 52° and 26°.
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expand the expression: [tex]-\frac{1}{3}[/tex](-6x+15y) to write an equivalent expression. Use as few terms as possible.
Answer:
2x - 5y
Step-by-step explanation:
Hello!
We can distribute the value outside the parenthesis to the terms inside to simplify the expression.
Simplify:[tex]-\frac13(-6x + 15y)[/tex][tex]-\frac13(-6x) -\frac13(15y)[/tex][tex]\frac{-6x}{-3} - \frac{15y}{3}[/tex][tex]2x - 5y[/tex]The simplified expression is 2x - 5y.
Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines.
The slope of the given lines are:
Graph 1 = 1/3
Graph 2 = -1/3
Graph 3 = 3
Graph 4 = -3
How to Find the Slope of a Line?To find the slope (m) of a given line on a coordinate plane, choose any two points on the line, (x1, y1) and (x2, y2), then find the slope by plugging in the values of the coordinates into the formula below:
Slope of a line (m) = change in y / change in x = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex].
Find the slope of Graph 1:
Using two points on the line, (0, 0) and (3, 1):
Slope of graph 1 (m) = (1 - 0)/(3 - 0)
Slope of graph 1 (m) = 1/3
Find the slope of Graph 2:
Using two points on the line, (0, 0) and (-3, 1):
Slope of graph 2 (m) = (1 - 0)/(-3 - 0) = 1/-3
Slope of graph 2 (m) = -1/3
Find the slope of Graph 3:
Using two points on the line, (0, 0) and (1, 3):
Slope of graph 3 (m) = (3 - 0)/(1 - 0) = 3/1
Slope of graph 3 (m) = 3
Find the slope of Graph 4:
Using two points on the line, (0, 0) and (-1, 3):
Slope of graph 4 (m) = (3 - 0)/(-1 - 0) = 3/-1
Slope of graph 4 (m) = -3
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What kinds of quadrilateral is the shape shown? The matching arrow labels indicate that two opposite sides are parallel. (Remind me about the shapes 5 5
The quadrilateral in the picture is a square since all four sides are equal.
The angles are all equal and all are right angles.
Clearly, the quadrilateral is a square.
What is the image of (0,-8) after a reflection over the line y=x
the reflection over the line y=x tells us to swap the points.
Therefore the point (0,-8) becomes (-8,0)
What is the slope of the line through (-1,2) and (-3,-2)? 5 4 3 (-1,2) 1 2 3 4 1 -2 ((-3,-2) O A. 2 O B. O C. - O D.-2
Part 1. A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6.
Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6.
Responses
Equation A: 15b + 4 = 25.6
Equation A: 15b + 4 = 25.6
Equation B: 15b + 4 = 25
Equation B: 15b + 4 = 25
Equation C: 3(0.6 + 15b + 4) = 76.8
Equation C: 3(0.6 + 15b + 4) = 76.8
Equation D: 15b = 25.6
Equation D: 15b = 25.6
Equation E: 15b = 21
Part 2. To solve the equation 7.5d = 2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side.
a. Will both moves lead to the solution? Explain your reasoning.
b. What is the solution?
Part 3. The equation 4(x – 2) = 100 is a true equation for a particular value of x. Explain why 2(x – 2) = 50 is also true for the same value of x.
2(x -2) = 50 is also true for the same value of x.
Given,
Part 1:
When a cardboard box is empty, its weight is 0.6 pounds.
It is filled with 15 bags of beans and a 4-pound bag of rice.
The total weight of the box and the contents inside it is 25.6 pounds.
Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :
0.6+15b+4=25.6 ....(A)
Taking like terms together,
15b=25.6-0.6-4 ...(1)
15b = 21 ....(2)
Equation (1) or (2) can be the equivalent equation for the equation (A).
Part 2:
Solve the equation:
7.5d = 2.5d, Lin divides each side by 2.5d,
and Elena subtracts 2.5d from each side.
Now, 7.5d/2.5d = 2.5d/2.5d
3 = 1
It is not equal, There is no solution.
a. 7.5d - 2.5d = 2.5d - 2.5d
5d/5 = 0/5
b. What is the solution ?
Solution is d = 0
Part 3:
Given,
The equation 4(x - 2) = 100 is a true equation for a particular value of x.
Explanation: The basic property of the equation is that if you multiply or divide both sides of the equation by the non-zero whole , the equation still holds.
In the Equation : 4 (x - 2) =100 divide by 2 on both sides because 2 is common factor of (4,10)
So, 4(x - 2) =100
1/2 x 4(x-2) = 1/2 x 100
= 2(x-2) = 50
Above all, 2(x -2) = 50 is also true for the same value of x.
Hence, 2(x -2) = 50 is also true for the same value of x.
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Change baseround final answer to nearest ten thousandONLY INCLUDE THE NUMBER OF YOUR FINAL ANSWER
We can solve this by means of the change of base formula:
[tex]a^y=x,y=\log _ax[/tex]By replacing x for y, 3 for a, and 27.3 for x into the above formula, we get:
[tex]x=\log _327.3=3.0101[/tex]Then, x = 3.0101
