The expressions A (4x + 2), B (2(1 + 2x)), D (2x + 1 + 2x + 1), and E (x + x + x + x +1+1) are equivalent to the given expression 2(2x + 1).
Explanation:The expressions equivalent to 2(2x + 1) are the ones that, when simplified, result in equivalent algebraic outputs. Let's verify this step-by-step:
A. 4x + 2: This simplifies to 4x + 2 which is the simplified version of the expression 2(2x + 1).B. 2(1 + 2x): This simplifies to 4x + 2 as well, since the distributive property permits the rearranging of the expression.C. 2(2x) +1: This simplifies to 4x + 1 which is not equivalent to the original expression 2(2x + 1).D. 2x + 1 + 2x + 1: This simplifies to 4x + 2, so it is also equivalent. E. x + x + x + x +1+1: This also simplifies to 4x + 2, making it equivalent as well.Hence, the expressions that are equivalent to 2(2x + 1) are A, B, D, and E.
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The expressions that are equivalent to 2(2x + 1) are A. 4x + 2 and B. 2(1 + 2x).
Explanation:The expression 2(2x + 1) can be simplified by distributing the 2 to both terms in the parentheses. This gives us 2 * 2x + 2 * 1, which simplifies to 4x + 2. Therefore, option A (4x + 2) is equivalent to 2(2x + 1).
We can also distribute the 2 to the terms inside the parentheses in option B (2(1 + 2x)). This gives us 2 * 1 + 2 * 2x, which simplifies to 2 + 4x, also equivalent to 2(2x + 1).
Option C (2(2x) + 1) is not equivalent because it simplifies to 4x + 1, not 2(2x + 1).
Option D (2x + 1 + 2x + 1) is not equivalent because it simplifies to 4x + 2, not 2(2x + 1).
Option E (x + x + x + x + 1 + 1) is not equivalent because it simplifies to 4x + 2, not 2(2x + 1).
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Which angles are adjacent angels?
A. GMB and FBC
B. CBX and FBC
C. XBG and FBC
D. MBY and FBC
Answer:
CBX and FBC
Step-by-step explanation:
because they both are supplememntary
Adjacent angles share a common vertex and side, and do not overlap. Without a diagram, specific adjacent angles cannot be identified. Angle BAB' being equal to the angle of incidence is relevant to the geometry but does not determine adjacency.
Explanation:Adjacent angles are two angles that have a common vertex and a common side, but do not overlap. By definition, they are next to each other on a plane and their shared side is called the ray. In the given question, we should look for two angles that meet this criteria.
The answer is not directly provided since it seems to be referencing a diagram that we do not have. However, in general, to determine adjacent angles in a diagram, you would look for angles that share a vertex and a common side. For example, if angle GMB and angle FBC shared a side and a vertex, they would be considered adjacent angles.
Given the information that the segment AB' is shared by triangles in two different mediums, and that angle BAB' is equal to the angle of incidence, this does not directly relate to the angles being adjacent but gives insight into the geometry of the situation.
What's the 477th number of pi ???
Answer:
Google says 9?
Step-by-step explanation:
a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 how far is the bottom of the ladder from the base of the building
Answer:
Step-by-step explanation:
Take 20( cosine of 75 degrees)
the answer is 5 ft
Answer:
5.18 feet
Step-by-step explanation:
We have been given that a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is 75 degrees.
We can see from the attachment that side with 20 feet is hypotenuse and side x is adjacent side to the angle 75 degrees.
[tex]\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}[/tex]
Substitute the given values:
[tex]\text{cos}(75^{\circ})=\frac{x}{20}[/tex]
[tex]\frac{x}{20}=\text{cos}(75^{\circ})[/tex]
[tex]\frac{x}{20}*20=20*\text{cos}(75^{\circ})[/tex]
[tex]x=20*0.258819045103[/tex]
[tex]x=5.1763809[/tex]
[tex]x\approx 5.18[/tex]
Therefore, the bottom of the ladder is 5.18 feet away from the base of the building.
Find the length of XPY. Leave your answer in terms of pi.
Find the circumference of the circle:
C = 2PIr = 2PI6 = 12PI
Arc XPY is 3/4 of the circle.
XPY = 3/4 x 12PI = 9PI
Any smooth curve connecting two points is called an arc. The length of arc XPY is 9π cm.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
Length of an Arc = 2π×R×(θ°/360°)
where
θ is the angle, that which arc creates at the centre of the circle in degree.
A circle has 360°, while the angle made by arc XY is 90°. Therefore, the measure of the angle made by the arc XPY at the centre of the circle is 270°. Also, the radius of the circle is 6 cm, therefore, the length of XPY is,
Length of XPY = 2π×6cm×(270°/360°) = 9π cm
Hence, the length of arc XPY is 28.2743 cm.
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The attic shown is a triangular prism. Insulation will be placed inside the walls, not including the floor. Find the surface area that will be covered with insulation
Answer:
[tex]1,125\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
[tex]SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}[/tex]
Draw and compare models of 3/4 of a pizza pie and 6/8 of a same -size pie
Answer:
The two pieces of pizza are same.
6/8 is the equivalent fraction of 3/4
Step-by-step explanation:
From the figure attached with this answer shows the two pizzas. The first figure shows a pizza which is divided into 4 equal parts. Out of this 4 parts 3 parts are colored. This shows 3/4 fraction.
From the second figure we can see a pizza is divided into 8 equal parts, out this 6 are colored. This shows 6/8 fraction.
Compare two pizzas
When we compare this two colored portion we can see both shows same area of circle.
That means 6/8 is equivalent fraction of 3/4
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum?
Answer:
B. 6,700 m
Step-by-step explanation:
Mr. Gephart is traveling from his house to the history museum = 6.7 km
1 km = 1,000 m
so
6.7 x 1,000 = 6,700 m
Answer is B. 6,700 m
Answer:
Step-by-step explanation:
B. 6,700m
How much do you need to subtract from 53/6 to make 8
To make 8 from 53/6, you need to subtract 5/6. This solution involves converting 8 to the same denominational fraction as 53/6 (which is 48/6) and then subtracting this from 53/6.
Explanation:The question asks how much you need to subtract from 53/6 to make 8. To find out, we start by expressing the desired final number and the given fraction:
Convert 8 to a fraction with a common denominator with 53/6, which is 6, so 8 equals 48/6.To find out how much to subtract from 53/6 to get 48/6, we subtract the two fractions: 53/6 - 48/6.The subtraction gives us 5/6. Therefore, you need to subtract 5/6 from 53/6 to make 8.This demonstrates a basic understanding of fraction subtraction and the concept of working backwards to solve a problem, both of which are key skills in mathematics.
Which of the following describes a net of the prism
A. Three triangular bases and three rectangular lateral faces
B. Three triangular bases and three triangular lateral faces
C. Two triangular bases and three rectangular lateral faces
D. Two triangular bases in three triangular lateral faces
The answer is C
Explanation; there are 2 triangles and 3 rectangles
The statement that describes the net of the prism is:
C. Two triangular bases and three rectangular lateral faces
Step-by-step explanation:Net of a solid--
A net is a two dimensional figure which can be folded to get a three dimensional figure.
or we may say it is a pattern which is made when we scatter out different faces of the solid or three dimensional figure.
By looking at the given prism we see that it is formed with the help of two triangles and 3 rectangles which are folded in appropriate manner so as to get the prism.Isabel's car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas. How many miles can Isabel drive on a full tank of gas?
It will be 505.85.
Because 33.5 × 15.1 is 505.85.
33.5x15.1=505.85
505.85 miles is the answer.
What type of lines will have no solution in a system of equations?
a: Parallel Lines
b: Intersecting Lines
Answer:
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution.
Parallel lines will have no solution in a system of equations because they never intersect, maintaining a constant distance apart and having the same slope.
In a system of equations, two parallel lines will have no solution. This is because parallel lines never intersect; they have the same slope but different y-intercepts and maintain a constant distance from each other.
According to the theorem if two straight lines do not meet a third line on the same plane, then they do not meet each other, which confirms that they are parallel.
Hence, option (a) 'Parallel Lines' is the correct answer to which type of lines will have no solution in a system of equations. In contrast, option (b) 'Intersecting Lines' represents lines that cross at a single point and have one solution where they intersect, which corresponds to that unique solution of the system.
Given: circle k (O) , m
PL
=80°,
m
PY
=150°
Find: m∠YPL
Answer:
YL=130 (PWP)
m<YPL=65 (Inscribed < th)
Step-by-step explanation:
Answer:
[tex]m\angle YPL=65^{\circ}[/tex]
Step-by-step explanation:
We have been given an image of a circle and we are asked to find the measure of angle YPL.
Since the degree measure of circumference of a circle is 360 degrees, so we can set an equation to find the measure of arc LY as:
[tex]m\widehat{LY}+m\widehat{PL}+m\widehat{PY}=360^{\circ}[/tex]
Upon substituting our given values in above equation we will get,
[tex]m\widehat{LY}+80^{\circ}+150^{\circ}=360^{\circ}[/tex]
[tex]m\widehat{LY}+230^{\circ}-230^{\circ}=360^{\circ}-230^{\circ}[/tex]
[tex]m\widehat{LY}=130^{\circ}[/tex]
We can see that angle YPL is inscribed angle of arc LY, so the measure of angle YPL will be half the measure of arc LY.
[tex]m\angle YPL=\frac{1}{2}m\widehat{LY}[/tex]
[tex]m\angle YPL=\frac{1}{2}\times130^{\circ}[/tex]
[tex]m\angle YPL=65^{\circ}[/tex]
Therefore, the measure of angle YPL is 65 degrees.
what is 2 times 1/8?
Please help
Answer:
The answer is 1/4
The decimal form is:0.25
Step-by-step explanation:
2/1 x 1/8 + 2x 1/1 x 8+ 2/8= 2 (divide by) 2/ 8 (divide by) 2=1/4
(I added a 1 to 2 because you can't divide a fraction withour two numbers)
I AM NOT A PRO AT MATH ,SO IF I'M WRONG PLEASE LET ME KNOW :)
Help me with this one please
The answer is:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Why?Since we are working with a right triangle, we can use the Pythagorean Theorem to know the missing side size (Opposite Side).
Pythagorean Theorem formula:
[tex]c^{2}=a^{2} +b^{2}[/tex]
Where:
[tex]c=hypotenuse=73\\a=AdjacentSide=48\\b=OppositeSide[/tex]
So, the opposite side will be:
[tex]OppositeSide=\sqrt{c^{2}-a^{2}}=\sqrt{73^{2}-48^{2}}=\sqrt{5329-2304} \\OppositeSide=\sqrt{3025}=55[/tex]
Then:
[tex]sin(F)=\frac{OppositeSide}{Hypotenuse}=\frac{55}{73}=0.75[/tex]
[tex]cos(F)=\frac{AdjacentSide}{Hypotenuse}=\frac{48}{73}=0.66\\\\tan(F)=\frac{OppositeSide}{AdjacentSide}=\frac{55}{48}=1.15[/tex]
Have a nice day!
Answer:
Sin F = 0.7534
Cos F = 0.6575
Tan F= 1.145
Step-by-step explanation:
From the given figure we can see that,
triangle DEF is right angled triangle
Base = DF = 48
Hypotenuse = EF = 73
Height = ED
To find ED
We have ,
Hypotenuse² = Base² + Height²
EF² = DF² + ED²
ED² = EF² - DF² = 73² - 482
ED² = 3025
ED = √3025 = 55
To find Sin (F)
Sin ∅ =Opposite side /Hypotenuse
Sin F = ED/EF = 55/73 = 0.7534
To find Sin (F)
Cos ∅ =Adjacent side /Hypotenuse
Cos F =DF/EF = 48/73 = 0.6575
To find Sin (F)
Tan ∅ =Opposite side /Adjacent side
Tan F = ED/DF = 55/48 = 1.145
What’s 20% as a fraction, 80% as a fraction and 15% as a fraction. Also, what I mean as a fraction is like 20
——-
100
Also how did you convert the percents to fractions. Thank you!
Answer:
see below
Step-by-step explanation:
Percent means out of 100
20% = 20/100 which can be simplified
20/100 Divide by 10 on top and bottom
=2/10 Divide by 2 on top and bottom
= 1/5
80% = 80/100 which can be simplified
80/100 Divide by 10 on top and bottom
= 8/10 Divide by 2 on top and bottom
=4/5
15% = 15/100 Which can be simplified
15/100 Divide by 5 on top and bottom
= 3/20
Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x
Answer:
Initial amount: 20
Growth factor: The amount doubles for every integer increase of x
Step-by-step explanation:
I think the equation should be g(x) = 20(2^x) for it to be exponential.
The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.
We can see the amount double by evaluating a few value..
g(0) = 20(2^0) = 20(1) = 20 (initial amount)
g(1) = 20(2^1) = 20(2) = 40
g(2) = 20(2^2) = 20(4) = 80
g(3) = 20(2^3) = 20(8) = 160
This pattern will continue on
PLEASE HELP! BRAINLIEST!
Answer:
x=4
Step-by-step explanation:
We can find the length of RT by using the Pythagorean theorem
sin theta = opposite side/ hypotenuse
sin 60 = 2 sqrt(3)/ RT
Multiply each side by RT
RT sin 60 = 2 sqrt(3)
Divide by sin 60
RT = 2 sqrt(3)/ sin 60
RT = 4
Then
tan theta = opposite side/ adjacent side
tan 45 = x/RT
tan 45 = x/4
4 tan 45 = x
4 = x
The mean of this set of numbers
{20, 30, 40, 50, 60, 70, 80} is??
Answer:
The answer is 50
Step-by-step explanation:
You add up all the numbers and divide the numbers by how many numbers there are.
The answer would be 50!
Given f(x)=-8x+4 and g(x) = x^2, choose the expression for (f*g)(x)
ANSWER
[tex](f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
EXPLANATION
Given f(x)=-8x+4
and
g(x)=x²
We want to find find an expression for;
[tex]
(f\circ g)(x) = f(g(x))[/tex]
[tex]
(f\circ g)(x) = f( {x}^{2} )[/tex]
We substitute x² into f(x)=-8x+4
This will give us:
[tex]
(f\circ g)(x) = - 8 {x}^{2} + 4[/tex]
A * blank * of linear equations is two linear equations consider together
Answer:
System of Linear Equations
Step-by-step explanation:
Answer:
System of linear equations
Step-by-step explanation:
What is 28% of 80? please answer as a decimal
Answer:
22.4
Step-by-step explanation:
Is means equals and of means multiply
W = 28% * 80
Change to decimal form
W = .28 * 80
W = 22.4
28 percent of 80 is 22.4
Answer:
22.4
Step-by-step explanation:
80/x = 100/28
80/x = 3.57142857143
times both sides by x
x cancels out on the left and leaves on the right 3.57142857143 x
80/3.57142857143 = x
22.4 = x
5×4=?
is it 20
is it 9
is it 54
Answer:
20
Step-by-step explanation:
But you should know this already...
what’s the domain of f(x)=4x
Answer:
all real values of x
Step-by-step explanation:
The domain is the values that x can take
The domain is all real values of x
Answer:all real numbers
Step-by-step explanation:
The system of equations y=-2x+3 and y= x is graphed. What is the solution to the system of equations?
Answer:
1,1
Step-by-step explanation:
I did this earlier today
The solution of the system of equations in terms of (x,y) is (1,1)
The system of equations can either be solved using the simultaneous equation method or the elimination method. Here, we will be using the simultaneous equation method.
Given that:
y = -2x + 3 --- (1)
y = x ---- (2)
Let replace the value of y in equation (2) back to equation (1)
∴
y = -2x + 3 becomes:
x = -2x + 3
x + 2x = 3
3x = 3
x = 3/3
x = 1
Since (x) is = 1
From equation (2), we know that y = x
∴
y = 1
Therefore, we can conclude that the solution of the system of equations in terms of (x,y) is (1,1)
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(5y-12)+(-5y-1) Find the sum or difference.
Answer: -13
Step-by-step explanation:
5y -5y cancel out and the -12-1=-13 and that’s how you get -13.
The sum or difference of the given expression (5y-12)+(-5y-1) simplifies to -13.
Explanation:The original problem presented is to evaluate the expression (5y-12)+(-5y-1). The operation between the two parenthesis is a sum (as indicated by the '+').
To solve, execute the operation in each parenthesis then execute the operation between. The operation inside the first parenthesis is a subtraction, yielding 5y-12. Similarly, the operation inside the second parenthesis is also a subtraction, yielding -5y-1. However, it is a good practice to treat subtraction of whole numbers as adding a negative. Finally, the operation between the two results is a sum (5y-12+(-5y-1)).
The desired result is achieved by applying the appropriate algebraic rules. So, we can rewrite this as: (5y-12) + (-5y -1) = 5y -12 -5y -1 = 0y -13 = -13.
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[tex]y = x + 2 \\ y = 3x - 2[/tex]
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
x = 2
y = 4
I need help plzzzz help me
Randy caught quails at a slower rate
the table shows the amount of apple sause made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is thetotal amount of apple sause that she can make with these apples?
Final answer:
Explaining how to calculate the total amount of apple sauce using medium and large apples.
Explanation:
The total amount of apple sauce Patrice can make with 17 medium apples and 23 large apples is:
17 medium apples x amount of apple sauce from one medium apple
23 large apples x amount of apple sauce from one large apple
Add the results from the above two calculations to find the total amount of apple sauce.
The sun of two polynomials is -yz^2 - 3z^2 -4y + 4. If one of the polynomials is y - 4yz^2 - 3 ,what is the other polynomial?
Answer:
2yz^2-3z^2-5y+7
Step-by-step explanation:
you find the polynomial difference between the two (remember to distribute the negative sign when opening up the parenthesis of the second polynomial. combine like terms and your left with your answer.
Answer:
3yz^2-3z^2-5y+7
Step-by-step explanation:
got it right on test ! Hello!
The perimeter of a parallelogram is 80 meters.the width of the parallelogram is 4 meters less than its length
Answer:
The length is 22 and the width is 18.
Step-by-step explanation:
You can solve for the length by using the perimeter formula.
P = 2l + 2w.
You know P = 80. You also know the length is l and the width is w = l - 4.
80 = 2l + 2(l - 4)
80 = 2l + 2l - 8
80 = 4l - 8
88 = 4l
22 = l
This means the width which is 4 meters less is 22 - 4 = 18.