Answer:
The amount of wood left is 36 9/16 in
Step-by-step explanation:
Here, we want to get the amount of wood left
To calculate this, we have to subtract what is cut and what is wasted from the original total length
So we have what is left as follows;
45 1/2 - 8 7/8 - 1/16
45 1/2 = 91/2
8 7/8 = 71/8
91/2 - 71/8 - 1/16
(728 - 142 - 1)/16
585/16 = 36 9/16 in
what is 5/8 as a mixed number
Answer:
What is 5/8 x 128? Answer: This is the same as working out 5/8 of 128. Do this by dividing by the bottom numbers, and multiplying by the top number. So 128 divided by 8 is 16, 16 times 5 is 80.
Consider f(x) = 2x2 + 1 and g(x) = 3x − 6. Which statement about f + g is true?
A. It is a linear function.
B. It is a quadratic function.
C. The domain is x ≥ −3.
D. The range is all real numbers.
Given:
The two functions are:
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
To find:
The correct statement about the function [tex]f+g[/tex].
Solution:
We have,
[tex]f(x)=2x^2+1[/tex]
[tex]g(x)=3x-6[/tex]
Adding both functions, we get
[tex]f+g=f(x)+g(x)[/tex]
[tex]f+g=2x^2+1+3x-6[/tex]
[tex]f+g=2x^2+3x-5[/tex]
It is a quadratic function. So, option A is incorrect and option B is correct.
The domain of [tex]f+g[/tex] is all real numbers because it is defined for all real values of x. So, option C is incorrect.
The range of [tex]f+g[/tex] cannot be the all real numbers because it has a minimum value of y as the leading coefficient is positive. So, option D is incorrect.
Therefore, the correct option is B.
What is the value of x in the equation 1/3 X- 2/3= -18
-56
0-52
52
56
Answer:
x = - 52
Step-by-step explanation:
Given
[tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{3}[/tex] = - 18 ( multiply through by 3 to clear the fractions )
x - 2 = - 54 ( add 2 to both sides )
x = - 52
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:-52}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex] \frac{1}{3} x - \frac{2}{3} = - 18\\[/tex]
➺[tex] \: \frac{1}{3} x = - 18 + \frac{2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 18 \times 3}{1 \times 3} + \frac{2}{ 3} \\[/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 54 + 2}{3}\\ [/tex]
➺[tex] \: \frac{1}{3} x = \frac{ - 52}{3} \\[/tex]
➺[tex] \: x = \frac{ - 52 \times 3}{3}\\ [/tex]
➺[tex] \: x = - 52\\[/tex]
[tex]\sf\pink{Therefore, \:the \:value \:of\: x\:is \:-52.}[/tex]
[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY:}}}[/tex]
[tex] \frac{1}{3} \times ( - 52) - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52}{3} - \frac{2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 52 - 2}{3} = - 18\\[/tex]
➼[tex] \: \frac{ - 54}{3} = - 18\\[/tex]
➼[tex] \: - 18 = - 18\\[/tex]
➼ L. H. S. = R. H. S.
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
The graph of y - 3x + 2 is:
Is Integer a Rational Number?
Hey there!
Before we get to know an Integer and Rational Number, we have to know the Real Number system first.
1. What is Real Number System?
Real Number System is very commonly used in mathematics. It is a number system that is "logical", at least when it comes to solving an equation.But do you know that the Real Number system can be broken into two categorizes? And what are them?
Real Numbers can be broken into these main two categorizes which are:
Irrational NumberRational NumberThese numbers can also be broken into other categorizes as well! Crazy, ain't it? Well that's how maths work!
Anyways, we will skip Irrational Number since it is off-topic and not related to your question. We will talk about Rational Number instead.
2. What is Rational Number?
Rational Number is a number that can be written in fraction form. That is a simple explanation for the Rational Number. Please lecture or note that approximations aren't considered as rational numbers. Even though π ≈ 22/7 which is in fraction form but it is just an approximation which is considered as Irrational Number. Also if infinity/endless decimal can be written in fraction form as well, they are considered as Rational Number too!Now we know the meaning of Rational Number. But like I said, the Rational Number can be broken into other categorizes which are:
Integers - Whole number or number without fraction or decimal.Fractions and Decimals that can be written in fraction form.And Integers can also be broken into:
Negative IntegersZeroPositive Integers3. Conclusion and Answer
Since Integers are subset of Rational Number, we can conclude that Integers are Rational Number.Hope this helps, and let me know if you have any doubts regarding Real Number system.
Help me on this pls!!!!!!
Step-by-step explanation:
bla bla bla bla123222222333333
10.
Consider the number 1750
Find the least number which must be added so as to get a perfect square?
Find the square root of the number obtained?
Answer:
if you add 14 to 1750 you will get 1764 which equals 42²
Step-by-step explanation:
y(0.5 + 4)
PLEASE HELP!!
Answer: 8
Step-by-step explanation:
Answer:
4.5y
Step-by-step explanation:
0.5y + 4y
4.5y
find the value of √(6-3√5)
Answer:
There is no answer
Step-by-step explanation:
because 3√5=6,7082039232 > 6
So 6-3√5 < 0
But √x always >0
So there is no answer
The theater sells two types of tickets: adult tickets for $18 and
child tickets for $9.
Last night, the theater sold a total of 221 tickets for a total of
$2466. How many adult tickets did the theater sell last night?
The answer to your question is 137
Which choice is the range of f(x)=√x−3−1 ASAP
Can someone help me please really need help? I’ll help you back please & thanks
how do i solve for x? thank you!
Answer:
[tex]x = \frac{7}{2}[/tex]
Step-by-step explanation:
[tex]6^{x-1} = 36 \sqrt6\\\\6^{x-1} = 6^2 \times 6^{\frac{1}{2}}\\\\6^{x-1} = 6^{2 + \frac{1}{2} }[/tex] [tex][ \ a^x \times a^ y = a^{x+ y} \ ][/tex]
[tex]x - 1 = 2 + \frac{1}{2}[/tex] [tex][ \ b^x = b^y => x = y \ ][/tex]
[tex]x = 2 + \frac{1}{2} + 1\\\\x = 3 + \frac{1}{2} \\\\x = \frac{6+ 1}{2} \\\\x = \frac{7}{2}[/tex]
Answer:
x = 3.5
Step-by-step explanation
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] and [tex]\sqrt{a}[/tex] = [tex]a^{\frac{1}{2} }[/tex]
Then
36[tex]\sqrt{6}[/tex] = 6² × [tex]6^{\frac{1}{2} }[/tex] = [tex]6^{(2+0.5)}[/tex] = [tex]6^{2.5}[/tex]
Thus
[tex]6^{x-1}[/tex] = [tex]6^{2.5}[/tex]
Since the bases on both sides are equal, both 6, equate the exponents
x - 1 = 2.5 ( add 1 to both sides )
x = 3.5
please help me its due nowww
The angles represented by (2x - 60) and (60 - 2x) cannot be supplementary because their sum add up to zero instead of 180°.
A graph of f(x)=acos(bx) is shown, where b is a positive constant. Determine the values of a and b.
Answer:
Option (1)
Step-by-step explanation:
Equation of the given wave function,
f(x) = acos(bx)
Here, a = amplitude of the wave
Period of the wave = [tex]\frac{2\pi }{B}[/tex]
From the graph attached,
Amplitude = [tex]\frac{4-(-4)}{2}[/tex]
= [tex]\frac{4+4}{2}[/tex]
= 4
Period of the wave = π - 0
= π
From the formula of the period,
Period = [tex]\frac{2\pi }{b}[/tex]
[tex]\pi =\frac{2\pi }{b}[/tex]
b = 2
Therefore, a = 4 and b = 2.
Option (1) will be the answer.
help me with this please. classify the following triangle
A.right
B.isosceles
C.equilateral
D. abtuse
E.acute
F.scalene
Answer:
isosceles triangle
Step-by-step explanation:
Answer:
A, B, and, D
Step-by-step explanation:
I'm not 100% sure but i'm pretty sure these are it.
Hope thus helps!
What combination of bracelets does dimitri have?
Combining functions: Consider functions f and g.
Answer:
option C
Step-by-step explanation:
Consider the following system of two equations.
{y=−8x+10
y=x−8
What are the coordinates (x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Answers the question in the picture
Answer:
see explanation
Step-by-step explanation:
- 6 would represent a $6 debt
- 6 would represent 6 feet below sea level
Simplify (−34.67) to the power of 0
Answer:
-1
Step-by-step explanation:
anything to the power of zero is always going to be 1 or -1
If f(x) = 4x1/2 , find f(4)
Answer:
f (4) = 8
Step-by-step explanation:
f (x) =2
2 x 4 = 8
The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.
Answer:
Correct Answer: A.
Step-by-step explanation:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase
What is 10000 - 82583 + 81627 X 2
Answer:
90,671
Step-by-step explanation:
10,000- 82,583+ (81,627 x 2)
Answer:
-235,837
Step-by-step explanation:
Given :
10000-82583+81627×2
Now,
10000-82583+163254
10000-245837
-235,837
Answer will be -235,837
find the percentage profit when a car was bought for 60,000k and sold for 140,000k.
Step-by-step explanation:
profit = sold price - bought price
= 140,000 - 60,000 k
= 80,000 k
% profit = (80,000/60,000)×100
= 133.33 %
i need help asap Please
Answer: F. is a linear relation.
Step-by-step explanation:
Answer:
G
Step-by-step explanation:
Equation of the eventual line:
(y-4)/(5-4) = x
y-4 = x
y = x + 4
this equation can’t be used to determine the last three values. In fact, for examples:
7 = 2 + 4
7 = 6 (false)
So the relation is non linear
I need to know the answer pleaseeee
Answer:
4:49
Step-by-step explanation:
Evaluate 5 x3 - 2 + 7 when x = -2.
Answer:
57
Step-by-step explanation:
5|x^³-2|+7
let x=-2
5|(-2)^3-2|+7
work inside the absolute value first
5|-8-2|+7
5|-10|+7
Take the absolute value, which make it positive
5 *10+7
multiply
50+7
=57
nakita ko lng po yan but hope that helpsツ
Look below at the picturess!!! pls help me i will give you 100 points !
Answer:
1/4
Step-by-step explanation:
because there 25% change
Answer:
for the blue its 1/4 or 2/8 and not likely.
For the yellow one it is 7/8 and likely.
A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______°
Answer:
40.2
Step-by-step explanation:
To better analyze this problem, we can first draw a picture. Looking at the one attached, we can see that the stake is represented by the point in the bottom right of the screen, and the kite is 45 meters away from it, representing the 45. Then, the height is 38, and this is directly above the 45 meters away from the stake.
This forms a right triangle, and we can use sohcahtoa to help use. As we don't have the hypotenuse, we can use tan. Tan(θ) = opposite/adjacent, or 38/45. Thus, arctan(38/45) = θ, and plugging that into a calculator, we get 40.2 as our answer