Answer:
7^8
Step-by-step explanation:
Answer:7^8
Step-by-step explanation:
I'm just checking if I got this correct.
Solve for x: 2(10-2x) = 4(3x + 1). Write your answer as a fraction.
Answer:
[tex]\boxed{x=1}[/tex]
Step-by-step explanation:
[tex]2(10-2x) = 4(3x + 1)[/tex]
[tex]\sf Expand \ brackets.[/tex]
[tex]20 - 4x = 12x + 4[/tex]
[tex]\sf Subtract \ 12x \ and \ 20 \ from \ both \ sides.[/tex]
[tex]20 - 4x - 12x - 20 = 12x + 4 - 12x - 20[/tex]
[tex]-16x = -16[/tex]
[tex]\sf Divide \ both \ sides \ by \ -16.[/tex]
[tex]\displaystyle \frac{-16x}{-16} =\frac{-16}{-16}[/tex]
[tex]x=1[/tex]
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▹ Answer
x = 1
▹ Step-by-Step Explanation
2(10 - 2x) = 4(3x + 1)
Simple terms are written last:
2(-2x + 10) = 4(3x + 1)
Distributive Property:
-2 * 2x + 2 * 10 = 4 * 3x + 4
x = 1
Hope this helps!
CloutAnswers ❁
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Please check the image below for more info
what is the domain of the function shown in the graph below
answer type: interval, all real numbers, all values except one, all values except two
interval:
interval [3,6]
as you can see only values of x, having a value y in the graph.
complete the table of values for y=-x^2+2x+1
Answer:
-1=-2
4=-7
Step-by-step explanation:
for x=-1
y=(-1^2)+(2*-1)+1
y=-1-2+1
y=-2
for x=1
y= (-1^2)+(2*1)+1
y= -1+2+1
y=2
for x=4
y=(-4^2)+(2*4)+1
y=-16+8+1
y=-7
Maria has $20 to buy fish for her aquarium. Each goldfish costs $3. How
many goldfish can she buy?
Answer:
6
Step-by-step explanation:
$20/$3 = 6.666...
We need to round down to 6.
Answer:
She can get 6 gold fish
Step-by-step explanation:
Take the amount of money and divide by the cost of the gold fish
20/3 = 6 with 2 dollars left over
She can get 6 gold fish
SIMPLIFY THIS!!!!!
7(y - 5) + 3y = 10(y +1)
help me plz i need help
Which function's graph has asymptotes located at the values x= ±nπ?
1-Y=csc x
2-Y=cos x
3-Y=tan x
4-Y=cot x
Answer:
[tex]y=csc(\theta)[/tex]
[tex]y=cot(\theta)[/tex]
Step-by-step explanation:
I will just change
[tex]x=\pm n\pi, n \in \mathbb{Z}_{\ge 0}[/tex]
For
[tex]\theta = \pi n, n\in\mathbb{Z}[/tex]
Also, note that sine and cosine function don't have asymptotes.
The vertical asymptotes of cosecant occur every [tex]\pi n, n\in\mathbb{Z}[/tex]
It happens because the cosecant function is undefined for those values.
The cotangent function has asymptotes located at every integer multiple of [tex]\pi[/tex].
On the other hand, the vertical asymptotes of tangent function occur at:
[tex]$\theta=\frac{\pi}{2} +n \pi, n \in \mathbb{Z}$[/tex]
It happens because the tangent function is undefined for those values.
Answer:
It's y = csc x and y = cot x.
Step-by-step explanation:
P. The inventory of a store 2 years ago was worth $45,000. This year it is
worth $49,500. What is the percent increase? Show your work
Answer:10% increase
Step-by-step explanation:
49500-45000=4500
4500/45000=0.1
0.1x100=10
10% increase
Answer:
10%
Step-by-step explanation:
follow the rules of calculating percentages.
fractions, decimals, etc.
pls mark brainliest
i need help please
260 units2 is the answer
You move down 3 units and up 3 units. You end at (-3, 4). Where did you start?
Answer: You started at (-3, 4)
Step-by-step explanation:
If you started at (-3, 4) and moved down 3 units, you would be at (-6, 4). If you moved back up 3 units, you would be at your original starting point (-3, 4).
Answer:
Step-by-step explanation:
All motion here is up and down, so the x-coordinate does not change.
Work backwards to answer this question:
(-3, 4), and down three units, and then up three, puts you where you started, at (-3, 4).
What property is used in the second step of solving the inequality below?
5 x minus 9 less-than 91
______Given_______
5 x less-than 100
__________________
x less-than 20
Multiplication Property
Identity Property
Addition Property
Multiplication Property
Transitive Property
Answer:
Addition property
Step-by-step explanation:
Given the inequality:
5x - 9 < 91
The step to take here to move 9 to the other side, is to perform the addition property by adding 9 to both sides.
Thus,
5x - 9 + 9 < 91 + 9
5x < 100
The final step is to perform the division property by dividing both sides by 5, in order to solve for x.
5x/5 < 100/5
x < 20.
What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!
Answer:
A.
Step-by-step explanation:
Find the area of the triangle: 26-20=6. 14x6=84/2=42. Now that we calculated the triangle's area, we need to find out the rectangle's. 20x14=280. Add them up: 280+42=322 mm^2. Triangle: b x h/2. Rectangle: l x h.
The area of a 2D form is the amount of space within its perimeter. The area of the given figure is 322 mm². The correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure can be broken into a rectangle and a right-angle triangle, in order to calculate the area of the given polygon.
The area of the rectangle with a length of 20mm and height of 14 mm is,
Area of the rectangle = 20mm × 14mm
= 280 mm²
The area of the right-angled triangle with a base length of 6mm and height of 14 mm is,
Area of the triangle = (1/2) × 6mm × 14mm
= 42 mm²
Now, the total area of the given figure can be written as,
The total area of the given figure
= Area of the rectangle + Area of the triangle
= 280 mm² + 42 mm²
= 322 mm²
Hence, the area of the given figure is 322 mm².
Learn more about the Area here:
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Consider the function represented by the graph. What is the domain of this function?
Answer:
domain={8,7,6,5,4,3,2,1,0}
Answer:
[tex]\boxed{0 \leq x \leq R}[/tex]
Step-by-step explanation:
Well domain is the amount of x values on a graph,
so looking at the given graph we can tell the x values start at 0 and since it is a solid dot the x is greater than or equal to 0 then you can tell by the arrow that the line goes on forever.
0 ≤ x ≤ R
The R stands for all real numbers.
Hope this helps :)
In annual Student vs. Faculty Kickball game, Brian kicked a ball that was in the air for a total of 4.5 seconds before it landed on the ground. Assuming that the ball left from the ground (initial height=0) which of the following was the initial vertical velocity of the ball? HINT: Use the height equation for English units.
Answer:
72.4004 ft/sec
Step-by-step explanation:
We know the parabola has width of 4.5 above the x-axis.
The parabola must face downward in order to represent a downward arc.
Therefore, the equation is:
-x^2+4.5x
The vertex is at (2.25, 5.063).
The max height was 5.063.
vy=v0y+ay⋅t
y=y0+v0y⋅t+12⋅ay⋅t2
students who prefer rock or classic rock to students who prefer all other types of music
Find the area of the figure in the image attached. Round to the nearest tenth if necessary.
Answer:
The area of the figure shown is 37.5cm^2, or 37 1/2cm^2, depending on what it wants from you.
Step-by-step explanation:
Break the shape into a triangle with measurements of 2.5, and 6.
And then the Rectangle with measurements of 6, and 5.
area of a rectangle is w*l so 6*5=30in
Area of a triangle is b*h*1/2 or b*h divided by 2 (either way both are the same, chose what makes you comfortable, I will use the first one.),
2.5*6*1/2
2.5*6=15
15*1/2=7 1/2cm or as a decimal 7.5cm
Now add the two for the full area, 30+7.5=37.5cm
If you have any questions regarding my question tell them to me in the comments and I will come answer them. Have a good day.
The radius of a circle is 6. Using T, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diameter?
A) C/6 = π
B) C/12= π
C) C = 6πr
D) C = 12πr
Formula to get the circumference of the circle is,
C = 2πr = π × D
Where C = circumference of the circle
D = Diameter of the circle
By dividing with D on both the sides of the formula,
[tex]\frac{\text{C}}{\text{D}}=\pi[/tex]
Since, diameter 'D' = 2r,
[tex]\frac{\text{C}}{\text{2r}}=\pi[/tex]
[tex]\frac{\text{C}}{2\times 6}=\pi[/tex]
[tex]\frac{\text{C}}{12}=\pi[/tex]
Therefore, equation given in Option (B) will be the correct expression.
what is the domain of the function shown in the graph below?
answer type: interval, all real numbers, all values except one, all values except two
interval:
Answer:
All numbers except 1
Step-by-step explanation:
The graph has an asymptote at 1.
So the function will grow toward but without reaching it.
The equation of the asymptote is x=1
So the domain is all real numbers except 1.
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
Step by step on how to do this plz
Answer:
Rational, irrational, irrational
Step-by-step explanation:
A) sqrt(16)=4 which is rational
B) and C) are both irrational
Answer:
they are all irrational numbers but unfortunately I can't go step by step please excluding the square root of 16
Can someone help me with questions 8 and 9 please?
Step-by-step explanation:
8) earning of 4.5 hours=$54
earning of 1 hour=$54/4.5
earning of 1 hour=$12
9)perimeter=36 feet
length is twice so
length=2x
width=x
perimeter = 2(length+width)
36=2(2x+x)
2x+x=36/2
3x=18
x=6
width=6 feet
length=2(6)
length=12 feet
Area of rectangle= length * width
area=12*6 sq.feet
area= 72 sq.feet
Kim is building a triangular dog pen. She will use an existing 10 m wall as one side. She will then build a fence going out at a 45°
angle on one side of the wall and a 65° angle on the other side. How much chain-link fence is needed to complete the fence?
es )
Answer:
17.2 ft
Step-by-step explanation:
The angle that the fence makes opposite the wall is ...
180° -45° -65° = 70°
The law of cosines can be used to find the lengths of fence needed.
The fence opposite the 45° angle will have a length of ...
short side = (10 ft)·sin(45°)/sin(70°) = 7.525 . . . feet
The fence opposite the 65° angle will have a length of ...
long side = (10 ft)·sin(65°)/sin(70°) = 9.645 . . . feet
Then the total length of fence required is ...
7.525 ft +9.645 ft = 17.170 ft
About 17.2 feet of chain-link fence is required to complete the enclosure.
_____
We have assumed there is no chain-link fence along the 10 ft wall.
_____
The Law of Sines tells you that for sides a, b, c and opposite angles A, B, C, you have ...
a/sin(A) = b/sin(B) = c/sin(C)
For some given side 'a' and opposite angle A, the other two sides can be found from their opposite angles as ...
b = sin(B)·a/sin(A)
c = sin(C)·a/sin(A)
How is 30% equivalent to 1.3?
Answer:
30% = 30/100 = 0.3
1.3 would be 130%
I hope this helps you!
30% is equivalent to 0.30 or 3/10, but not 1.3.
There seems to be an error in the statement that 30% is equivalent to 1.3. That is not correct.
To clarify, 30% is equivalent to the decimal value 0.30 or the fraction 3/10.
To convert a percentage to a decimal, we divide the percentage value by 100. In this case, 30 divided by 100 equals 0.30.
If you were looking for a value that represents a 30% increase or an amount including a 30% addition, you would multiply the original value by 1.3, not 30%. For example, if you have a value of $100 and want to increase it by 30%, you would multiply $100 by 1.3, resulting in $130.
So, 30% is equivalent to 0.30 or 3/10, but not 1.3.
Learn more about percentage here
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AHH, I need help .....again. ik this one is easy my brain is just - also, what is a good excuse to tell my teacher because this assignment is past due by one day bc i thought it was due on the 6 but .... it wasn't . And idk what to say plz help !!! thx :D
Answer:
fraction: 87/100. decimal: 0.87
Step-by-step explanation:
Because there are 10 rows and 10 colums, you know the denominator is 100 because it is 10x10.
Then I counted the first 80 blue squares and knew it was 80 because it is 8 rows and 10 colums. Then I added 7 blue squares because that is above the 80, and 80+7 is 87. So, the fraction is 87/100.
100ths places in decimals is two places, so the 87 would be in the first two decimal places, so it would be 0.87.
Sorry if this is confusing, and I hope it helps :)
Answer:
Fraction = 87 over 100 or [tex]\frac{87}{100}[/tex] The decimal = 0.87
Step-by-step explanation:
first what I did was I counted all of the total squares which was 100 then I counted all of the Shaded squares which was 87.then I put 87 over 100 as a fraction and try to figure out if that was its simplest form which it was. for the decimal all I had to do was take 87 and divide it by 100
What are the domain, range, and midline of the function f(x)=1/2cos(1/4x)-1?
Your function is: [tex]f(x)=\frac{1}{2}\cos \Big( \frac{1}{4x}\Big) -1[/tex]
Domain: $(-\infty, +\infty)-\{ 0 \}$ or $R-\{ 0 \}$
Range: $[-\frac{3}{2}, -\frac{1}{2}]$
Midline: $y=-1$
Simplify the expression where possible. (r^-3 s^2 t)^4
Answer:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Step-by-step explanation:
Assuming that you tried to write:
[tex](r^{-3} s^2 t)^4,[/tex]
we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get
[tex](r^{-12}s^8t^4)[/tex]
Because you don't want any negative powers in the top, we can move it down to get:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Answer:
there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like
Step-by-step explanation:
Greg and his family went on a roadtrip.
Their car averaged 60 miles per hour and they
drove for 3.75 hours. How many total miles did
they drive?
Answer:50
Step-by-step explanation:
can somewon help me plz
Answer:
=1468 in ^3
Step-by-step explanation:
Find the volume of the container as if the corner was still there
V = l*w*h
V = 10 * 10 *15
= 1500
Subtract the missing corner
The volume of the missing piece is
V = l*w*h
= 2*4*4
= 32
V = 1500-32
=1468 in ^3
Answer:
It is 1468 inches cubed.
Step-by-step explanation:
You first want to the volume of the entire shape by multiplying the length, width, and height, which is 10, 10, and 15. They multiply to become 1500 inches cubed. You then want to find the volume of the smaller rectangular shape, so multiply 4, 4, and 2. And that equals 32. So subtract the volume of the big shape that we found, 1500, by the volume of the small one, which is 32. That equals 1468 inches cubed. You want to subtract the volume of the big one by the small one because the volume is just the big shape with a small shape cut out of it. So whenever you get one of these problems, just find the volume of both shapes, the big one and the small one, and subtract the small one from the big one.