Answer:
Step-by-step explanation:
A linear expression has the highest power of the variable to 1, i.e ax+b
So, in this case the questions is not well presented
But looking at options C.
6x
This is linear expression when compare to ax+b, but b=0
Looking at option D
7
This is also a constant and it is linear.
But the best answer is C because it is an expression that has variable x and it is function of x.
5y+1=1 subtract 1 from both sides
Answer:
5y
Step-by-step explanation:
All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped
Answer:
1) If you want to solve the equation, x is 0/5 or 0
2) If you want to subtract 1, the answer is 5y = 0
Step-by-step explanation:
1) 5y + 1 = 1
5y = 0
2) 5y + 1 = 1 Subtract both sides by 1
5y = 0 Isolate the variable by dividing 5 on both sides
y = 0/5 or 0
If ∠P measures 27°, q equals 6.0, and r equals 7.2, then which length can be found using the Law of Cosines?
using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].
The Law of Cosines formula is:
[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]
In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].
Substitute the given values into the Law of Cosines formula:
[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]
Now, calculate the value of \( p \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]
Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):
[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]
Take the square root of both sides to solve for \( p \):
[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]
So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.
Which verbal expressions represents 4x - 10?
Answer:
four x minus ten
Step-by-step explanation:
4x = four x
-10 = minus ten
Answer:
Four times a number x minus 10
Which expressions are equivalent to x+x+x + 2x+x+x+2x, plus, x, plus, x, plus, 2 ?
Final answer:
To simplify the given expression, we combine like terms to get 8x+2.
Explanation:
This question can be answered by having basic understanding of rules of operations in algebra in general and about addition of expressions in particular
The expression
x+x+x+2x+x+x+2x can be simplified by combining like terms. This means adding together the coefficients of the same variables.
Combining
x terms gives 3x and combining 2x terms gives 4x. The expression becomes 3x+4x+x+x+2.
To further simplify, we can combine the like terms 3x, 4x and x to give
8x. Finally, we combine 8x and 2 to get the simplified expression 8x+2.
Therefore, the required answer of the question asked is 8x + 2.
To find the equivalent expressions to \( x + x + x + 2x + x + x + 2x + x + x + 2 \), we can perform some simplification by combining like terms.
Let's start by combining all the terms with \( x \) coefficients. When we add or combine like terms, we just sum their coefficients, keeping the variable \( x \) unchanged.
Here are the terms with \( x \) in them:
\( x + x + x + 2x + x + x + 2x + x + x \)
Now, let's add them up:
\( 1x + 1x + 1x + 2x + 1x + 1x + 2x + 1x + 1x = 11x \)
We just counted the number of \( x \)'s and there are eleven of them, hence \( 11x \).
Now let's consider the constant terms (the numbers without variables):
\( 2 \)
Since there is only one constant term, we don't need to combine it with anything else.
Now, we add the sum of the \( x \) terms to the constant term:
\( 11x + 2 \)
Therefore, the expression \( x + x + x + 2x + x + x + 2x + x + x + 2 \) simplifies to:
\( 11x + 2 \)
This is the equivalent expression to the original one given.
What is the relationship between
the sine and cosine of complementary angles?
Explain your reasoning and use the relationship
to find cos 50 if sin 40 0.64.
Answer:
0.64
Step-by-step explanation:
Sine and cosine of angles are complimentary
This means
Sin x = Cos (90-x)
Cos x = sin (90 - x)
Therefore sin 40 = 0.64
Sin 40 = cos (90 - 40)
Sin 40 = cos 50
Cos 50 = 0.64
I hope this was helpful, please mark as brainliest
Operations with rational expressions
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]
Solution:
Given expression:
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
To solve the given expression:
First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]
Cancel the common factor (w + 5).
[tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]
Now substitute this in the given expression.
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]
Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]
Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]
[tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]
Cancel the common factor 2(w – 5).
[tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]
Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]
[tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]
Cancel the common factor (w – 2).
[tex]$=-\frac{w+7}{9}[/tex]
[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]
what is the area of the smallest square?
The area of the smallest square is one quarter of the original square if its height and width are each half of the original.
Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.
Explanation:The area of the smallest square can be determined by comparing it with the area of a larger square.
If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.
This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.
For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.
If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.
This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.
The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.
What is the surface area, in square inches, of the container?
Answer:
62 inches
Step-by-step explanation:
the solution to -2[1 - 4x] = 3x + 8 is
Answer: " 14 " .
________________________
→ " x = 14 " .
________________________
Step-by-step explanation:
________________________
First, let us simplify the expression on the "left-hand side" of the equation:
→ -2(1 −4x) ;
________________________
Note the "distributive property of multiplication" :
→ a(b + c) = ab + ac .
________________________
As such, we can rewrite:
→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;
= - 2 + 8x ;
↔ 8x − 2 ;
________________________
Now, rewrite the entire expression:
→ 8x − 2 = 3x + 8 ;
________________________
Subtract "(3x)" from each side of the equation;
and add "2" to each side of the equation:
________________________
→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;
to get:
→ 5x = 10 ;
Now, divide each side of the equation by "5" ;
to isolate "x" on side of the equation;
& to solve for "x" ;
________________________
→ 5x/5 = 10/5 ;
to get:
________________________
→ x = 2 .
________________________
Now, let us check our work:
________________________
Plug in "2" for all "x-values" into the original equation;
to see if the equation holds true;
that is, to see if each side of the original equation given has the same value;
when "x = 2" :
________________________
Note the given equation:
________________________
→ -2[1 − 4x] = 3x + 8 ;
________________________
Start with the left-hand side:
→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .
Now, continue with the right-hand side:
→ 3(2) + 8 = 6 + 8 = 14 .
___________________________________
→ 14 =? 14 ??? ; Yes!
___________________________________
Hope this is helpful to you!
___________________________________
You leave a 12% tip for a $25 meal. How much is the tip, in dollars?
Answer:
3 dollars
Step-by-step explanation: divide 25 by .12=3.00
Answer:
$3
Step-by-step explanation:
25 X 1.12 = 28 $28-$25= 3 dollar difference.
(0.12 is the decimal form of 12%)
estimate each quotient. show your work. 165÷4
Answer: 41 1/4
Step-by-step explanation: 160/4=40
5/4= 1 1/4
LIKE IF CORRECT
A cylindrical barrel is 8 feet tall, and 5 feet wide at the bottom. What is the volume of the barrel?
Answer:
V = 50π ft³
Step-by-step explanation:
That "5 ft wide at the bottom" translates into "radius of (5/2) ft."
Volume of a cylinder of radius R and height H is V = πR²H, so here,
V = π(5/2)^2*8 ft³ or
V = π(25/4)(8) ft³, or
V = 50π ft³
HELP ASAP
1yd 1 ft=_____ya
A 1 1/2
B 1 1/12
C 1 1/3
D 1 1/6
What is the diameter of a circle with an area of 100 pie square feet
Answer: diameter =20ft
Step-by-step explanation:
Write an imequality” five times some number is less than 65”
Answer: 5x < 65
Step-by-step explanation: please give brainliest hope it helps and thankyou
Answer:
5x < 65
Step-by-step explanation:
Because 5*some number, you could use x. then the less than symbol means that 5x is less than 65
A diver starts at the surface of the water and travels 8 feet to the bottom.
Graph A shows her distance from the bottom during the journey.
Graph B will show her distance from the surface during the journey.
Complete each statement about Graph B.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Answer:
On Graph B, at 0 seconds, the graph will be 0 or nothing.
Then the graph will increase until 2 seconds.
Step-by-step explanation:
What are the different ways you can factor a quadratic expression?
A. Greatest Common Factor
B. Perfect Square Trinomial
C. Difference of Squares
D. Factor Quadratic Trinomials with Leading coefficient of 1
E. All of the above
Answer:E
Step-by-step explanation:
All of the above
Final answer:
The correct answer is E. All of the above.
There are several different ways to factor a quadratic expression.
Explanation:
There are several different ways to factor a quadratic expression:
Greatest Common Factor: Look for a common factor that can be factored out of all terms in the expression.Perfect Square Trinomial: If the expression can be written as the square of a binomial, it can be factored using this method.Difference of Squares: If the expression is in the form of a^2 - b^2, it can be factored using this method.Factor Quadratic Trinomials with Leading coefficient of 1: For expressions in the form of ax^2 + bx + c, where a is equal to 1, it can be factored using this method.Therefore, the correct answer is E. All of the above.
Fuel x costs $2 per gallon and fuel y costs $3 per gallon. You have at most $18 to spend on fuel. Write a system of linear inequalities to represent this situation.
(I did not mean to select one)
Answer:
First choice A : 2x +3y is less than or equal to 18. x greater than or equal to 0. y greater than or equal to 0.
If fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
What is inequality?A collection of two or more inequalities in one or more variables is known as a system of inequalities. When there are multiple constraints on a problem's potential solutions and a range of potential solutions are needed, systems of inequalities are used.
Given that, fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol.
The maximum or minimum values of a situation with multiple constraints are frequently determined using a system of linear inequalities.
Thus, if fuel x costs $2 per gallon, but Fuel y costs $3 per gallon. You may only spend up to $18 on petrol. The system of linear inequalities representing this situation is,2x+3y≤18,x≥0, and y≥0. Option A is correct.
Learn more about inequality here,
https://brainly.com/question/28823603
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(-3x^2+x^4+x)+(2x^4-7+4x)
1. Remove parentheses
-3x^2 + x^4 + x + 2x^4 - 7 + 4x
2. Collect like terms
-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7
3. Simplify
-3x^2 + 3x^4 + 5x - 7
Line A passes through points (10, 9) and (6, 2)
line B is parallel to line A . what is the slope of B ?
Answer:
7/4
Step-by-step explanation:
Parallel lines have the same slope, so all you have to do is find the slope of A.
The slope of A is (9-2)/(10-6) = 7/4
Answer:
7/4
Step-by-step explanation:
Have a nice day :)
What solid 3D object is produced by rotating the quarter-circle about line m
Answer:
hemisphere.
Step-by-step explanation:
it is a hemisphere with radius=5 units.
or hemisphere with diameter=10 units
Answer:
A semisphere (half sphere) with diameter 10 units
Step-by-step explanation:
[3 6] • [-4 -3 -6 -1]
Answer:
216
Step-by-step explanation:
How many different 4-digit personal identification numbers (PINs) can be made from the digit 0 through 9 if no digits repeat?
Answer:4960
Step-by-step explanation:
Answer:
Look below
Step-by-step explanation:
Searched it up.
66
12) Melissa deposited $1,500.00 in an account that pays 6.5% interest compounded
quarterly. About what will the balance be in 7 years?
Equation:
A) $2,356.00
B) $937.00
C) $49,943.00
D) $21.00
Answer:
A) $2356.00
Step-by-step explanation:
Principal, p = $1,500.00
Interest rate, r= 6.5%
Period, t = 7 years
compounded quarterly therefore, n = 4
Amount, A = P( 1 + r/n)^ n*t
A = 1500 ( 1 + 0.065/4)^ 4*7
A = 1500( 1 + 0.016)^28
A = 1500 ( 1.016) ^28
A = 1500 * 1.57
A = $2356.00
5. Solve the following equation for A : 2A/3 = 8 + 4A
A.-2.4
B. 2.4
C. 1.3
D. -1.3
E. O
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{2A}{3}[/tex] = 8 + 4A
Multiply through by 3 to clear the fraction
2A = 24 + 12A ( subtract 12A from both sides )
- 10A = 24 ( divide both sides by - 10 )
A = - 2.4 → A
Need help asppppppppppppp!!!!!!!!
Answer:
40
Step-by-step explanation:
72-32=40
What is the slope of the line with equation y-3=-1(x-2)?
Answer:
m = -1/2
Step-by-step explanation:
It moves right 2 and down 1.
Answer: slope is -1/2
Step-by-step explanation:
Multiplying Polynomials :
(X + 4)(X - 1/2)
Answer:
2x²+7x-4
Step-by-step explanation:
(x+4)(x-1/2)
First multiply (x-1/2) by 2.
We have (2x-1)
(x+4)(2x-1)
Expanding it, we have
x(2x-1)+4(2x-1)
2x²-x+8x-4
2x²+7x-4
A 32. In bat is leaning against a fence. If the bat is 15 in. Away from the base of the fence, what angle is formed between the ground and the bat?
Trigonometry
Answer:
509.8
Step-by-step explanation:
The last one on 1/23
The angle formed between the ground and the bat is 62.04 degrees
How to calculate the angle of elevation and depressionFrom the given question, we have the following parameters:
Length of the bat = 32in
Measure of the distance from the bat to the ladder = 15in
Requiredangle of elevation
Using the SOH CAH TOA identity
Cos θ = adjacent/hypotenuse
Cos θ = 15/32
θ = arccos(15/32)
θ = 62.04degrees
Hence the angle formed between the ground and the bat is 62.04 degrees
Learn more on angle of elevation here: https://brainly.com/question/88158
The number 8.375 x 10^-3 is equivalent to ____
Answer:
0.008375
Step-by-step explanation:
Answer:
hey
Step-by-step explanation:
8.375 can be written as
8375/1000
8375/ 10³
put in q
8375×10 power -3 × 10 power -3
8375× 10 power -6
0.008375