7+(10−4)2:4⋅231=7+62:4⋅81=7+36:4⋅81=7+9⋅81=7+89=7+181=881
Find. The unit vector. Multiple choice
Answer:
D
Step-by-step explanation:
6i = 3/5i
8j = 4/5j
3/5i + 4/5j
HELP ME PLEASSE!!! I WILL MARK AS BRAINLIEST
The turtle’s distance from his starting point is increasing between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
The turtle’s distance from his starting point is constant between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
The turtle’s distance from his starting point is decreasing between (blank)
seconds.
0 and 12
0 and 6
6 and 8
8 and 12
Answer:
See below
Step-by-step explanation:
The turtle’s distance from his starting point is increasing between 0 and 6
seconds (which means it is getting larger in that time interval)
The turtle’s distance from his starting point is constant between 6 and 8 seconds (which means it is not moving in that time interval!)
The turtle’s distance from his starting point is decreasing between 8 and 12
seconds (which means it is getting smaller in that time interval)
Answer:
0-6, 6-8, 8-12
Step-by-step explanation:
For this, we'll have to use the numbers along the x-axis to measure. The line begins moving in a positive direction (up) from 0 to 6, which at that point, it remains stationary until 8 seconds. It then moves in a negative direction (down) all the way to 12.
If I can explain or elaborate in any way, please let me know.
Hope this helps!
Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715
The value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^5
How to evaluate the composite function?The functions are given as:
f(x) = 11x^3 - 3x^2
g(x) = 7x^4 + 9x^3
The value of f(x) . g(x) is calculated as:
f(x) . g(x) = (11x^3 - 3x^2) * (7x^4 + 9x^3)
Expand
f(x) . g(x) = 77x^7 + 99x^6 - 21x^6 - 27x^5
Evaluate the like terms
f(x) . g(x) = 77x^7 + 78x^6 - 27x^5
Hence, the value of the composite function f(x) . g(x) is 77x^7 + 78x^6 - 27x^518x^5
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Please help me math
Answer:
Diagonal is = 16.97
Step-by-step explanation:
To find the length of a diagonal across a square use this formula
d = √(2×area)Plug in
d = √(2×144)d = √288D = 16 . 97
Sian is going to roll the dice 50 times work out an estimate for the number of times the dice will land on either 5 or 6
Answer:
5
Step-by-step explanation:
5,10,15,20,25,30,35,40,45,50
6,12,18,24,30,36,42,48,54
Amiya has 8 more stamps than Huiling. Ravi has twice as many stamps as Amiya. Amiya and Ravi have 72 stamps altogether. How many stamps does Huiling have?
Amiya + Ravi = 72
x + 2x = 72
3x = 72
x = 72/3
x = 24
therefore Amiya has 24 stamps
Huiling has 8 more than Amiya = 24 + 8 = 32stamps
hope it helps...!!!
100 POINTS i need help fast!
Answer:
Step-by-step explanation:
you multiple each hight and base
For -3y+2x=-18 determine the value of y when x = 0, and the value of x when y = 0.
Hello!
We have two different scenarios that we have to solve in the question. We will be solving for both the x and y variable.
We were given the equation: -3y + 2x = -18
To solve for our variables, we will use the values given in our question.
Solve:
Lets solve for the value "y", where our x = 0
Plug in 0 to x and solve:
-3y + 2(0) = -18
-3y = -18
y = 6
Lets now solve for the value "x", where our y = 0
Plug in 0 to y and solve:
-3(0) + 2x = -18
2x = -18
x = -9
Therefore, our answers would be: y = 6, x = -9
Answer:
y = 6
x = -9
Please solve this for me
[tex]6 sin² x + 4 cos²x = Stanx[/tex]
[tex]Correct option is B)
Given, 4cos2x+6sin2x=5
[/tex]
[tex]⇒4cos2x+4sin2x+2sin2x=5
⇒2sin2x=1⇒sin2x=21=(21)2
⇒x=nπ±4π
[/tex]
Solve any question of Trigonometric Functions with:-[tex]~~~~~~6 \sin^2 x + 4 \cos^2 x = 5 \tan x \\\\\implies 3 \cdot 2\sin^2 x + 2 \cdot 2 \cos^2 x = 5 \tan x\\ \\\implies 3(1- \cos 2x ) + 2( 1 + \cos 2x) = 5 \tan x\\\\\implies 3 - 3 \cos 2x +2 +2 \cos 2x = 5 \tan x\\\\\implies 5- \cos 2x = 5 \tan x\\ \\\implies 5 - \left(\dfrac{1- \tan^2 x}{ 1+ \tan^2 x} \right)=5 \tan x\\\\\implies \dfrac{5+5 \tan^2x -1 + \tan^2 x}{1+ \tan^2 x} = 5 \tan x\\\\\implies 4 + 6\tan^2 x = 5( \tan x)(1+ \tan^2 x)\\\\\implies 4 +6\tan^2 x = 5 \tan x + 5 \tan^3 x[/tex]
[tex]\implies 5\tan^3 x -6 \tan^2 x+5 \tan x-4=0\\\\\implies 5 \tan^3 x - 5 \tan^2 x - \tan^2x + \tan x+ 4\tan x -4=0 \\\\\implies 5\tan^2 x(\tan x-1) -\tan x(\tan x-1) +4(\tan x-1)=0\\\\\implies ( \tan x - 1)( 5 \tan^2 x- \tan x +4) =0\\\\\implies \tan x =1\\\\\implies x = n \pi+ \dfrac{\pi}4[/tex]
An industry currently has 100 firms, each of which has fixed cost of $16 and average variable cost as follows: Quantity Average Variable Cost 1 $1 22 33 44 55 66 Compute a firm’s marginal cost and average total cost for each quantity from 1 to 6. The equilibrium price is currently $10. How much does each firm produce? What is the total quantity supplied in the market? In the long run, firms can enter and exit the market, and all entrants have the same costs as above. As this market makes the transition to its long-run equilibrium, will the price rise or fall? Will the quantity demanded rise or fall? Will the quantity supplied by each firm rise or fall? Explain your answers. Graph the long-run supply curve for this market, with specific numbers on the axes as relevant.
The marginal cost is the change in the total cost that arises when the quantity produced is incremented, the cost of producing additional quantity.
a). First construct total variable cost for each level Q -- simply multiply Q by AVC. So
Q TVC
1 1
2 4
3 9
4 16
5 25
6 36
Now calculate marginal cost as the change in TVC for each level Q.
Q MC
1 1
2 3
3 5
4 7
5 9
6 11
b) with price = 10, firm will produce 5 but not 6 units.
c) calculate total profits at Q=5. Total revenue is $50, total costs is $25+$16 = $41. Since there are profits to be made, more firms will enter, shifting the supply curve out, Price will fall, quantity goes up. Each firm will supply the same or less as price falls.
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A rectangular prism has a
length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd. You use cubes with fractional edge
lengths of 1/2 yd to find the volume. How many
cubes are there for each of the length, width,
and height of the prism? What is the volume of
the prism?
Step-by-step explanation:
we need 2 1/2 × 2 = 5 cubes along the length.
1 1/2 × 2 = 3 cubes along the the width.
and 1 1/2 × 2 = 3 cubes along the height.
altogether we need
5×3×3 = 45 cubes
and the volume is
2 1/2 × 1 1/2 × 1 1/2 = 5/2 × 3/2 × 3/2 = 45/8 = 5 5/8 yd³
There are 96 cubes are there for each of the length, width, and height of the prism.
The volume of a rectangular prism is 12 yd³.
What is the prism?A prism is a three-dimensional solid object in which the two ends are identical. It is the combination of flat faces, identical bases, and equal cross-sections.
A rectangular prism has a length of 2 1/2yd, a width of 1 1/2yd, and a height
of 1 1/2yd.
length 2 1/2 and half yd = 2 1/2+ (1/2) yd = 5/2 + 1/2 = 6/2= 3 yd
Width 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Height 1 1/2 and half yd = 1 1/2 + (1/2) yd = 3/2 + 1/2 = (4/2) = 2 yd
Cubes of edge length (1/3) yd are used to fill the rectangular prism.
The length would contain (3) ÷ (1/2) = 6
The width would contain (2) ÷ (1/2) = 4
The height would contain (2) ÷ (1/2) = 4
How many cubes are there for each of the length, width, and height of the prism?
6 × 4 × 4 = 96 cubes
There are 96 cubes are there for each of the length, width, and height of the prism.
What is the volume of the prism?
The volume of rectangular prism = 3 × 2 × 2 = 12
The volume of a rectangular prism is 12 yd³.
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the first three terms of a G.P is are x+1, x-3 and x-1 find the value of x
[tex]\text{First term,}~ a = x+1\\\\\text{Common ratio,}~ r = \dfrac{x-3}{x+1}= \dfrac{x-1}{x-3}\\\\\text{Now,}\\\\~~~~~~\dfrac{x-3}{x+1} = \dfrac{x-1}{x-3}\\\\\\\implies (x-3)(x-3) = (x-1)(x+1)\\\\\\\implies (x-3)^2 = x^2 -1\\\\\\\implies x^2 -2\cdot 3x +3^2 =x^2 -1\\\\\\\implies -6x+9=-1\\\\\\\implies -6x = -1 -9\\\\\\\implies -6x = -10\\\\\\\implies x =\dfrac{-10}{-6}\\ \\\\\implies x = \dfrac 53[/tex]
the figure below is composed of two quarter circles and one right triangle
Consider the equation:
x^2= -8x – 7
1) Rewrite the equation by completing the square.
Your equation should look like (2 + c)2 = dor (x – c)2 = d.
---
-
2) What are the solutions to the equation?
Answer:
Step-by-step explanation:
Question 1:
x² = -8x - 7
x² + 8x = -7
(x + 4)² = 9
So the answer is (x + 4)² = 9
Question 2:
(x + 4)² = 9
So x = -4 ± 3
F is the function f(×)= 2x+5
Find f(3)
Answer:
f(3)=11
Step-by-step explanation:
f(x) = 2x + 5
to find f(3) we simply plug in 3 where ever x is
So f(3) = 2(3) + 5
==> multiply 2 and 3
f(3) = 6 + 5
==> add 6 and 6
f(3) = 11
can someone please help I pay £100
Answer:
The new points to the triangle will be:
[tex]A(1,4)\\ B(1,1)\\ C(-1,1)[/tex]
Step-by-step explanation:
Because the reflection point is at [tex]x=2[/tex], all x values will subtract their distances from [tex]x=2[/tex] to get their new values. The y values remain the same.
The starting values are:
[tex]A(3,4)\\ B(3,1)\\ C(5 ,1)[/tex]
Point [tex]A[/tex] is 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]A(1,4)[/tex].
Point [tex]B[/tex] is also 1 unit away from [tex]x=2[/tex], so we'll subtract 1 from 2 to get the new x value: [tex]2 - 1 = 1[/tex], so [tex]B(1,1)[/tex].
Point [tex]C[/tex] is 3 units away from [tex]x=2[/tex], so we'll subtract 3 from 2 to get the new x value: [tex]2 - 3 = -1[/tex], so [tex]C(-1,1)[/tex].
A bread recipe contains 60g of butter, 40g of salt and 100g of flour.
a) Determine what fraction of the ingredients is butter. Simplify if possible.
b) Express this fraction as a decimal.
c) What percentage of the ingredients are salt and flour?
Step-by-step explanation:
a.
add up all the grams to get the total
60 + 40 + 100 = 200
butter is 60 out of 200 or
60/200 or (divide top & bottom by 20)
3/10 = answer
b.
3 ÷ 10 =
.33 = answer
c.
salt =
40 ÷ 200 = 1/5 = .20 =
20% = answer
flour
100 ÷ 200 = 1/2 = .50 =
50% = answer
The circumference of a pipe is 9.24 centimeters. What is the diameter of the pipe? Use 3.14 for ℼ and do not round your answer.
Hi Student!
The first step that we need to take when approaching this problem is to extract the important information that was given in the problem statement. Reading through it, we can see that we are given a circumference of a pipe being 9.24 centimeters. After that, they are asking for us to determine what the diameter of the pipe is and tell us to use 3.14 instead of π.
Now that we have completed the information gathering, we can move onto the part of plugging in our values and solving for the unknown.
Plug in the values
[tex]C=d*\pi[/tex][tex]9.24\ cm=d*3.14[/tex]Divide both sides by 3.14
[tex]\frac{9.24\ cm}{3.14}=\frac{d*3.14}{3.14}[/tex][tex]\frac{9.24\ cm}{3.14}=d[/tex][tex]2.942675\ cm=d[/tex]Therefore, after solving for our unknown being the diameter we were able to determine that it is around 2.942675 centimeters using the Circumference formula.
What is an in-text citation?
A. Providing constructive criticism
B. Using another person's ideas or writing without citing them.
C. Using reliable sources in your paper
D. Providing the author's name and where you found the information.
Find the sum.
35/100 + 5/10
Answer:
0.85
Step-by-step explanation:
35 divided by 100= 0.35 + 5 divided by 10 = 0.5
0.35 + 0.5 = 0.85
Answer:
17/20
Step-by-step explanation:
35/100+5/10
=35/100+50/100
=85/100
=17/20
How many solutions does the following equation have? 4x -6 = 2(2x+3)
Answer:
None
Step-by-step explanation:
[tex]4x-6 = 2(2x+3)\\4x-6 = 4x+6\\0x -12 = 0\\no solutions[/tex]
Answer: There are no solutions for the equation.
Step-by-step explanation:
4x - 6 = 2(2x + 3)
4x - 6 = 4x + 6
-6 = 6
Ashley has finished 7/25 of her homework what percentage of the homework does Ashley still need to finish
Answer:
72 percent
Step-by-step explanation:
7/25, x 4 to get a fraction of 100
28/100
100 - 28 = 72
72 percent
Answer:
Ashley still needs to finish 72 percent of her homework
Step-by-step explanation:
Happy to help!! :D
there are 6 batteries in a small paket ofbatteries. there are 9 batteries in a large paket ofbatteries. chow buys m small pakets of batteries and g large pakets of batteries. write down a formula in terms of m and g for t
Answer:
t = 6m + 9g.
Step-by-step explanation:
Total number of batteries is t.
t = 6m + 9g.
(1.1x10^-3) - (9.6x10^-4)
Answer:
0.00014
Step-by-step explanation:
just use calculator...
(1.1x10^-3) - (9.6x10^-4) = 0.00014
Your company offers two types of insurance plans:
* Option A costs $20 per doctor visit.
* Option B requires you to pay a $250 deductible to activate your coverage and $10 per visit.
Enter an equation that can be used to find the number of visits (v) needed for the two plans to cost you the same amount.
Answer:
10 x 2 = 20 dollars. 250/12= 20.8333333
Step-by-step explanation:
complete the steps to solve the equation
Answer:
attached below
Step-by-step explanation:
minus 2 from each side in order to isolate T with the coefficient. To get rid of the coefficient multiply to get 1 which is 5 in this case. Then the answer will be 75
EXPLAIN IN YOUR OWN WORDS PLEASE!!!! ILL GIVE BRAINLIEST!!!
A scale drawing of a kitchen is shown below. The scale is 1 : 20. A rectangle is shown. The length of the rectangle is labeled 4 inches. The width of the rectangle is labeled 5 inches. Show your work to determine the area of the room in square feet.
Answer: 55 [tex]\frac{5}{9}[/tex] feet² or 55.556 feet²
Step-by-step explanation:
The scale means that for ever one in the scale drawing, it is 20 in the actual room. We will convert the dimensions using proportions.
[tex]\frac{5}{x}=\frac{1}{20}[/tex]
100 = x
-> The length is 100 inches
[tex]\frac{4}{x}=\frac{1}{20}[/tex]
80 = x
-> The width is 80 inches
The area of a rectangle can be found by multiplying the length by the width:
A = L * W
A = 100 * 80
A = 8,000 inches²
To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.
8,000 inches² / 144 = 55 [tex]\frac{5}{9}[/tex] feet²
The area of the room, in square feet, is 55 [tex]\frac{5}{9}[/tex] feet².
What is the remainder in the synthetic division problem below?
4 6 - 1
A. 3
B. 7
C. 5
D. 9
Answer:
so,6-1 3+7x5 9
Multiple: 7 * 5 = 35
Divide: the result of step No. 1 / 9 = 35 / 9 = 3.88888889
Add: 3 + the result of step No. 2 = 3 + 3.88888889 = 6.88888889
How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? more than one none one
Answer:
None
Step-by-step explanation:
By using the equation a^2 +b^2=c^2 we can see if it will work.
Substitute a for 6 and b for 2 to get 6^2+2^2=40
when you [tex]\sqrt{40}[/tex] you don't get 7 therefore you cant make any triangles
Free easy points will give Brainliest
6^2+4^2=C^2
Answer: c = about 7.21
Step-by-step explanation:
ok - pythagorean theorum
6^2+4^2=C^2
36 + 16 = c^2
52 = c^2
root both sides
c = about 7.21
The solution to the equation 6^2 + 4^2 = C^2 is approximately 7.21
How to solve the equation?The equation is given as:
6^2 + 4^2 = C^2
Evaluate the exponents of 6 and 4
36 + 16 = C^2
Evaluate the sum
52 = C^2
Take the square root of both sides
7.21 = C
Rewrite as:
C = 7.21 (approximated)
Hence, the solution to the equation is approximately 7.21
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