Answer:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]
Step-by-step explanation:
Given
[tex]Actual\ Length = 12\frac{1}{2}ft[/tex]
[tex]Scale\ Length = 1\frac{9}{16}ft[/tex] --- See attachment
Required
Determine the scale used
The scale of the drawing can be represented using the following ratio
[tex]Scale = Actual\ Length : Scale\ Length[/tex]
Substitute values for actual and scale lengths
[tex]Scale = 12\frac{1}{2}: 1\frac{9}{16}[/tex]
Convert to improper numbers
[tex]Scale = \frac{25}{2}: \frac{25}{16}[/tex]
Convert to division:
[tex]Scale = \frac{25}{2}/\frac{25}{16}[/tex]
[tex]Scale = \frac{25}{2}*\frac{16}{25}[/tex]
[tex]Scale = \frac{1}{2}*\frac{16}{1}[/tex]
[tex]Scale = \frac{16}{2}[/tex]
[tex]Scale = \frac{8}{1}[/tex]
Convert to ratio
[tex]Scale = 8 : 1[/tex]
Hence, the scale of the drawing is:
[tex]Actual\ Length : Scale\ Length = 8 : 1[/tex]
PLEASE HELP IN THE ATTACHED IMAGE
Answer:
864x^2 + 102x + 24559
Step-by-step explanation:
Add the correct terms that correspond to the placement.
HELP I NEED THOS FASSTTTT A
What is the domain of the function?
Answer:
A
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
domain -are all values of x
c -because x can take any value except 1
How to express each of the following pairs of
simultaneous inequalities in the form
a * x * b where a and b are numbers and #
may be < or <,
(a) x > 3, 2x - 3 < 15
(b) 25 > 1 - 6x, 1 > 3x + 7
(c) 2x - 7<3< 27 + 4x
(d) 3x + 8 <0 < 21 + 4x
(e) 5x - 36 < -1 < 2x – 1
Answer:
a) 3<x<8
b) -4<x<-2
c) -6<x<5
d) -21/4 < x-8/3
e) 0<x<7
Step-by-step explanation:
Given the following inequalities
a) x > 3, 2x - 3 < 15
Solve 2x - 3 < 15
2x < 15+3
2x<18
x<18/2
x<8
Combine x>3 and x<8
If x>3, then 3<x
On combining, we have:
3<x<8
b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7
25 > 1 - 6x
25-1>-6x
24>-6x
Divide through by -6:
24/-6 > -6x/-6
-4 <x
For the inequality 1 > 3x + 7
1-7>3x
-6>3x
-6/3 > 3x/3
-2 > x
x < -2
Combining both results i.e -4 <x and x < -2, we will have:
-4<x<-2
c) For the inequalities 2x - 7<3< 27 + 4x
On splitting:
2x - 7<3 and 3< 27 + 4x
2x < 3+7
2x<10
x<5
Also for 3< 27 + 4x
3-27<4x
-24<4x
-24/4 < 4x/4
-6<x
Combining both solutions i.e x<5 and -6<x will give;
-6<x<5
d) For the inequalities 3x + 8 <0 < 21 + 4x
3x + 8 <0
3x < -8
x < -8/3
Also for 0 < 21 + 4x
0-21<4x
-21<4x
-21/4 < 4x/4
-21/4 < x
Combining -21/4 < x and x < -8/3 will give;
-21/4 < x-8/3
e) For the inequalities 5x - 36 < -1 < 2x – 1
Split:
5x - 36 < -1
5x < -1+36
5x<35
5x/5 < 35/5
x < 7
For the expression -1 < 2x – 1
-1+1 < 2x
0 < 2x
0<x
Combining both inequalities 0<x and x < 7 will give:
0<x<7
Find f(2) if f(x) = (x+1)^2
Answer:9
Step-by-step explanation: f(2) ((2)+1)^2
Answer:
f(2) = 9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = (x + 1)²
f(2) is x = 2
Step 2: Evaluate
Substitute in x: f(2) = (2 + 1)²(Parenthesis) Add: f(2) = 3²Exponents: f(2) = 9I’m bout to have a mental break down can some one help
Me with this question pls
Answer:
X=3
Step-by-step explanation:
Give the other person the brainliest since they asked for it >> also I saw your had ray as your pfp yesssss
Find the slope of the line.
Print
12
10
9
4
2
1
0
.
5
2
12
5 6 7 8 9 10
The slope is
Turn it in
Answer:
The slope of the line is 3.
Step-by-step explanation:
Remember:
[tex]Slope = \frac{rise}{run} [/tex]
Una maquina que fabrica tornillos produce un 3% de piezas defectuosas. Si hoy se han apartado 51 tornillos defectuosos cuantos tornillos ha fabricado la maquina?
Answer:
1700 tornillos
Step-by-step explanation:
Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.
Deje que el número total de tornillos producidos ese día sea x
Por lo tanto;
3% de x = 51
3/100 * x = 51
x = 51 * 100/3
x = 1700 tornillos
5x + 10 = 15
1. 3
2. 1
3. 5
4. 25
Answer:
[tex]5x = 15 - 10 \\ 5x = 5 \div 5 \\ 5x = 1[/tex]
Question 5 of 10
How many solutions are there to the equation below?
6x +35+ 9x = 15(x + 4) -
- 25
A. 0
O B. 1
C. Infinitely many
SURMIT
Answer:
6x +35 +9x = 15(x+4)
6x +35 +9x = 15x + 60
15x +35 =15x +60
0x= 25
0x= no solution
Step-by-step explanation:
The equation has no solution.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given is an equation, 6x +35 +9x = 15(x+4), we need to find the solution,
6x +35 +9x = 15(x+4)
6x +35 +9x = 15x + 60
15x +35 =15x +60
0 = 25
Since, 0 ≠ 25, this is a contradiction.
Therefore, the equation has no solution.
Learn more about equations, click;
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Factorise: (a^4 - 8a^2b^2 + 16b^4) -81
Answer:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
This can be written as the difference of 2 squares:
(a^4 - 8a^2b^2 + 16b^4) -81
= (a^2 - 4b^2)^2 - 81
=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]
= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
The factorized form of the given expression will be as:
[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).
The expression is given in the question as:
(a⁴ - 8a²b² + 16b⁴) - 81
We have to determine the factorized form of the given expression
As per the given question, the required solution would be as:
(a⁴ - 8a²b² + 16b⁴) - 81
This can be written as the difference between 2 squares:
⇒ (a² - 4b²)² - 81
⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]
⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]
Learn more about the Factorization here:
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A student inscribes a triangle within a semicircle. What is the measure of
XYZ?
Answer:
Step-by-step explanation:
for a triangle inscribed in a semicircle that angle is always 90 degrees
9514 1404 393
Answer:
C. 90°
Step-by-step explanation:
A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.
Write in point-slope form the equation of a line that has a slope of -5 and passes through the point (-1, 3).
Answer:
y - 3 = - 5(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 5 and (a, b) = (- 1, 3 ), then
y - 3 = - 5(x - (- 1) ) , that is
y - 3 = - 5(x + 1)
Answer:
Step-by-step explanation:
point slope formula is: y-y1 = m(x-x1) ( memorize this formula there is also slope intercept)
now plug in your point and slope where m = slope and the number of the given point are (x1,y1)
y-3 = -5(x-(-1))
y-3 = -5(x+1)
Select the phrases that best complete the sentence.
9514 1404 393
Answer:
4 ft per second3 feetStep-by-step explanation:
The "rate" is the amount of change in y for each 1-second increase in x. That is the coefficient of x in the equation: 4 ft/second.
The "initial height' is the value of y when x=0, the constant in the equation: 3 feet.
solve the equation 2x+5=13 Graph the solutions, if possible.
Answer: x = 4
Step-by-step explanation:
How much tax willl be added to the price of the car
Answer: See explanation
Step-by-step explanation:
You didn't give further information that will be useful in solving the question but let me help out.
Let's say the price of a car is $30,000 and the sales tax is 4%, the tax that will be added to the car would be:
= 4% × $30,000
= 4/100 × $30,000
= 0.04 × $30,000
= $1200
I need help with This
Answer: 20 songs is the initial value.
Step-by-step explanation: The graph shows that at the beginning of January was 20. She adds 5 songs per month.
The equation would be y = 5x + 20 where y is her total number of songs and x is the number of months that have passed.
Answer:
I think the answer is a
Step-by-step explanation:
Which of the following is not a polynomial
Answer:
C. In a polynomial, you are not allowed to have a variable in a denominator.
Answer:
c
Step-by-step explanation:
because you can't have an exponent in the denominator
Write a real-word problem that can be represented by the inequality s<20. Represent the solution on the number line
Answer:
An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.
71 + 0 = 71 is an example of
Answer:
Identity Property (of 0)
Step-by-step explanation:
The cost of 3 scarves is 77.25. What is the unit price.
Answer: $25.75
Step-by-step explanation:
The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at
$4.00 each in order to meet that goal? Write, solve, and graph an inequality that represents this situation.
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −5
0 −1
1 3
g(x)
g(x) = 4x + 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.
Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1
Step-by-step explanation:
Diana's father is 28 years older then Diana. The sum of their ages is 64. How old is Diana ?
Answer:
Diana is 36
1
64
-
28
--------
3 6
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
64-28= 36
I think my math is right I hope this helps good luck!
What is the answer to. 114-x=102?
Answer:
The answer is
x = 12
Answer:
x = 12
Step-by-step explanation:
-x = 102 - 114
-x = - 12
cancel the minuses
x = 12
The highest point in a park is 235 feet above sea level. The lowest point is 32 feet below sea level. What is the distance between the highest and lowest points in the park? _____ feet
Answer:
The distance between the points is equal to 267 feet
Step-by-step explanation:
In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........
235 - (-32) = 235 + 32 = 267
(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).
for question 8. Determine whether the triangles are similar. If similar, state how (AA, SSS, or SAS), and write a similarity statement.
9514 1404 393
Answer:
yes, SAS
Step-by-step explanation:
Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).
The ratios of short to long sides are ...
39/52 = (3·13)/(4·13) = 3/4
63/84 = (3·21)/(4·21) = 3/4
The sides are proportional and the angle between them is congruent, so ...
the triangles are similar by SAS.
need help with number 6
Answer:
(3)
Step-by-step explanation:
the sum of n and 5 is (n + 5), then multiply by 3 gives
3(n + 5)
The result is at least 17 which means it must be greater than or equal to 17
3(n + 5) ≥ 17
can someone help me this is due like in 15 min
Answer:
Step-by-step explanation:
(-3, -3)
the third quadrant has x values negative and y values negative
What is ( x3 )4 in expanded form?
Answer:
Step-by-step explanation:
here you go mate
step 1
(x^3)4 equation
step 2
(x^3)4 simplify
answer
4x^3
can i get brainliest if you dont mind
Which expression is equivalent to -8(x-4)-1/4(12x-8)
Answer:
Step-by-step explanation:
-8(x-4)-1/4(12x-8)=
=-8x+32-1/4(4)(3x-2)=
=-8x+32-3x+2=-11x+34
-11x=-34
x=34/11=3 1/11