1) To better visualize it let's draw that bisected angle
According to the Bisector theorem, those angles are congruent therefore we can write an equation:
3x-2=9x-26
-2+26=9x-3x
24=6x
6x=24
x=4
m RST = (3x -2) + (9x -26)
m RST = 3(4) -2 +9(4) -26
m RST = 12 -2 +36 -26
m RST = 10 +10
mRST = 20º
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
Help me I losing it lol
Answer:
C( 3, 0) ; D( 7, 1) ; E(2, 4)
Step-by-step explanation:
If it is reflected over the y axis, then:
\(y = f( - x)\)
Simply put, you will multiply all your x coordinates by -1 or the x-y coordinates on the left side of the y axis will move to the right side of the y axis.
\(x1 = - 3 \times - 1 = 3\)
\(x2 = - 7 \times - 1 = 7\)
\(x3 = - 2 \times - 1 = 2\)
C( 3, 0) ; D( 7, 1) ; E(2, 4)
evaluate the exponent 4 the power of 3
1. 12
2. 81
3. 7
4. 64
________________________________
ps I said 4 to the power of because I put a tiny 3 next to the 4
Answer:
64 or 81
Step-by-step explanation:
If it is 4^3 it would be 4*4*4=64
If it is 3^4 it would be 3*3*3*3=81
(I don't know which one your asking about so I put both)
If a rock is thrown upward on the planet Mars with a velocity of 11 m/s, its height (in meters) after t seconds is given by H = 11t − 1.86t2.(b) Find the velocity of the rock when t = a.(c) When will the rock hit the surface? (Round your answer to one decimal place.) t = ?(d) With what velocity will the rock hit the surface? ______ m/s
The velocity of the rock when t = a is (11 - 3.72a) m/s when height after t seconds can be expressed as H = 11t − 1.86t² and will hit the surface with a velocity of 11 m/s.
Initial velocity of the rock is 11m/s. Height (in meters) after t seconds is obtained by H = 11t − 1.86t². Differentiating this expression we get the expression for velocity, V = 11 - 2×1.86×t
v = 11 - 3.72t
Therefore after 'a' seconds, velocity equals (11 - 3.72a) m/s.
The rock will reach its maximum height when velocity = 0 at say t1 seconds and reach height h1. Then,
0 = 11 - 3.72t1
t1 = 275/93s
h1 = 11×t1 - 1.86×t1² = 3025/186m
The rock will hit surface in 2t1 seconds. So it will hit surface if a > 2t1, that is a > 5.914s.
Velocity with which the rock hit surface can be obtained by
v = 11 - 3.72×(2t1) = -11m/s.
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Hurry please !!!
The graph of g(x) is a translation of y = V.
Which equation represents g(x)?
ly
g(x) = - 4
5
4
g(x) = 3/X+4
3
27
900)
O g(x) = 5x +1.5
1
g(x) = -1.5
-10 -3 -6 -21
2
6
810
X
Answer:
The translation corresponds to : \(g(x)=\sqrt[3]{x-4}\)
which is the first option in your list of possible answers
Step-by-step explanation:
Notice that this new function's graph responds to a horizontal translation to the right of the original graph of \(f(x)=\sqrt[3]{x}\). Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.
Recall that horizontal translations are performed by subtracting from the independent variable (x) , the number of units you move (in this case 4)
Therefore the new function should look like:
\(g(x)=\sqrt[3]{x-4}\)
The answer is A.
did the test
If you know the number of shares you've bought and the price per share, how would you calculate the total value of your investment?
Answer:Subtract the total purchase price from the current price of the stock then divide that by the original purchase price and multiply that figure by 100
Step-by-step explanation:
i think
A cylindrical steel pipe with a liquid is 21 cm long with radius 0, 4 cm and its hollow part is of radius 0, 1 cm. What is the volume of liquid, in litres, in the pipe? A. 9000 litres B. 9400 litres C. 9900 litres D. 10100 litres
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters. Therefore, none of the options A, B, C, or D provided is the correct answer.
To calculate the volume of the liquid in the cylindrical steel pipe, we need to find the difference in volume between the solid cylinder (hollow part) and the hollow cylinder.
Given:
Length of the cylindrical steel pipe (hollow part) = 21 cm
Radius of the solid cylinder = 0.4 cm
Radius of the hollow cylinder = 0.1 cm
First, let's calculate the volume of the solid cylinder (hollow part):
V1 = π × \(r1^2\) × h
V1 = π × \((0.4 cm)^2\) × 21 cm
Next, let's calculate the volume of the hollow cylinder:
V2 = π × \(r2^2\) × h
V2 = π × \((0.1 cm)^2\) × 21 cm
Now, we can find the volume of the liquid in the pipe by subtracting V2 from V1:
Volume of liquid = V1 - V2
Let's calculate these values:
V1 = π ×\((0.4 cm)^2\) × 21 cm ≈ 10.572 cm³
V2 = π × \((0.1 cm)^2\) × 21 cm ≈ 0.693 cm³
Volume of liquid = V1 - V2 ≈ 10.572 cm³ - 0.693 cm³ ≈ 9.879 cm³
To convert the volume from cubic centimeters (cm³) to liters (L), we divide by 1000:
Volume of liquid in liters ≈ 9.879 cm³ / 1000 ≈ 0.009879 L
Rounding to the nearest liter, the volume of the liquid in the pipe is approximately 0.01 liters.
Therefore, none of the options A, B, C, or D provided is the correct answer.
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A garden is sodded in the shaded portion below. How many square feet were covered with sod?
Answer:
Step-by-step explanation:
what is the formula for this seqyence 5,10,20,40,80
Answer:
2x
Step-by-step explanation:
5, 10, 20, 40, 80
each step is multiplying by 2, therefore the sequence is 2x
At the office supply store, a ream of paper costs $5.89 and a cartridge of ink costs $38.40. Delilah needs to buy 8 reams of paper and 6 cartridges of ink for her office. She needs to know how much money to bring, so estimate the cost of these supplies.
Answer:
Step-by-step explanation:
Delilah needs to buy 8 reams of paper which cost $5.89 each, $5.89 x 8 = $47.12
Delilah needs to buy 6 cartridges of ink which cost $38.40 each, $38.40 x 6 = $230.4
We then add $230.4 and $47.12
$230.4 + $47.12 = $277.52.
Delilah needs to bring $277.52 to cover the cost of her supplies.
help i will not pass if i get wrong
Answer:
Hello! answer: 28.26
Step-by-step explanation:
You find circumfrence by doing diameter × pi or
radius × 2 × pi since we have are diameter this shall be a breeze 9 × 3.14 = 28.26 therefore the circumfrence is 28.26 hope that helps!
Answer:
28.26 in.
Step-by-step explanation:
9 x 3.14
= 28.26
I could be wrong but I don't think so
Help me pls with this! :)
Answer: 48 red beads
Step-by-step explanation:
3 red beads: 1 bracelet
16 bracelets * 3 read beads/1 bracelet=
16*3/1=
16*3=48 red beads
help plsssssssssss I just need the number not the whole thing I'll give mark the u the brainliest giving 50 points tyyy <3
Answer:
\(\Huge \boxed{15}\)
Step-by-step explanation:
\(((2+3) \times 3) \div 5(2+3)\)
Solving the brackets.
\((5 \times 3) \div 5(5)\)
\(15 \div 5(5)\)
Dividing and simplifying.
\(3(5)\)
\(15\)
Answer:
15
Step-by-step explanation:
(2 + 3) * 3
= --------------- x (2 + 3)
5
5 * 3
= -------- x 5
5
= 15
Help me answer this please
The area of the sector in terms of π is 35.6π inches squared.
The area of the sector is approximately 111.6 inches square
How to find the area of a sector?The area of sector of a circle is the amount of space enclosed within the boundary of the sector.
Therefore,
area of a sector = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
∅ = 200 degrees
r = 8 inches
area of the sector = 200 / 360 × 8²π
area of the sector = 200 / 360 × 64π
area of the sector =12800π/ 360
area of a sector = 35.6π inches squared
Let's find the area of the sector with π = 3.14
area of a sector = 35.6 × 3.14 = 111.6 inches square
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cm² What is the area of this shape? Give your answer in cm 3 cm 2cm 6cm 2cm Not to scale
Based on the information provided, the total area of the shape given is 25 square centimeters.
How to calculate the area of this shape?The shape given is made up of two different shapes or two different rectangles. Due to this, to calculate the area, let's calculate the area of each of the rectangles, and then let's add the areas obtained.
First rectangle:
area = side x side
area = 2 cm x 3 cm
area = 6 square centimeters
Second rectangle:
area = side x side
area = 4 cm x 2 cm
area = 8 square centimeters
Total area: 6 square centimeters + 8 square centimeters
Total area = 14 square centimeters
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somebody said they are all false. is that true?
option b is right
-5, -4.5, -3
this option contains elements that are greater than or equal to -5
An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions.
(A) Find the instantaneous rate of change of the amount in the account after 2 year(s). $ (Round to two decimal places as needed).
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. $ (Round to two decimal places as needed).
Answer:
A. \(\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}\)
B. \(\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }\)
Step-by-step explanation:
Given that:
An investment of Amount = $8000
earns at an annual rate of interest = 7% = 0.07 compounded continuously
The objective is to :
A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
we all know that:
\(A = Pe^{rt}\)
where;
\(A = (8000) \ e ^{0.7t}\)
The instantaneous rate of change = \(\dfrac{dA}{dt}\)
\(\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )\)
\(= 8000 \dfrac{d}{dt}e^{0.07 \ t}\)
\(\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}\)
\(\dfrac{dA}{dt}= 560 e^{0.07 \ t}\)
At t = 2 years; the instantaneous rate of change is:
\(\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}\)
\(\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}\)
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
Here the amount = 12000
\(12000 = (8000)e^{0.07 \ t}\)
\(\dfrac{12000 }{8000}= e^{0.07 \ t}\)
\(1.5= e^{0.07 \ t}\)
㏑(1.5) = 0.07 t
0.405465 = 0.07 t
t = 0.405465 /0.07
t = 5.79
\(\dfrac{dA}{dt}= 560 e^{0.07 \ t}\)
At t = 5.79
\(\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}\)
\(\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }\)
Express the first quantity as percentage of the second of 45g and 75g
The first quantity (45g) as 60 percentage of second (75g).
What do you mean by Percentage?A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.
To convert the given percentage value in decimal, divide the given value by 100.
For example:
1. 50% in decimal or fraction will be 50/100 = 0.5.
2. 20% in decimal or fraction will be 20/100 = 0.2.
How to calculate Percentage?1. Finding the total amount from which we need to find the percent.
2. Dividing the required amount to find the percentage by total amount.
3. Multiply it by 100.
For example:
1. It rained 10 of the 30 days in April.
Percentage will be 10/30 = (1/3) x 100
Percentage = 33.33%
Here, we have given that:
Total amount = 75g
Required amount for percent = 45g
Now, to find the percentage:
Percentage = 45/75
Percentage = 0.6 x 100
Percentage = 60%
Hence,
The first quantity (45g) as 60 percentage of second (75g).
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What number lies exactly halfway between 1/5 and 1/9?
Answer:
7/45
Step-by-step explanation:
What number lies exactly halfway between 1/5 and 1/9?
you have to find the mean of the two fractions, adding and then dividing by two
(1/5 + 1/9) : 2 =
14/45 : 2 =
7/45
what is the solution of the linear-quadratic system of equations y=x^2+2x-3 y=2x+1
Answer:
(x, y) = {(-2, -3), (2, 5)}
Step-by-step explanation:
You want to solve the system of equations y=x²+2x-3 and y=2x+1.
SolutionThe two expressions for y can be equated, and the resulting equation put in standard form.
x² +2x -3 = 2x +1
x² -4 = 0 . . . . . . . . . . subtract (2x+1)
(x -2)(x +2) = 0 . . . . . factor
Values of x that make the factors zero are 2 and -2.
Corresponding values of y are ...
y = 2x +1 = 2(2) +1 = 5
y = 2(-2) +1 = -3
Solutions are ...
(x, y) = (2, 5)(x, y) = (-2, -3)Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many liters did they make? If they charge $ 2.00 per liter.
How much money will they make if they sell everything?
10.
Which graph shows the following system of equations and its solution?
ows the following system of equations and its solution?
The graph that shows the following system of equations and its solution is graph number C
How to determine the graph?A graph is the graphical representation of equations on a graph sheet
The given equations are
-4x-3y=4
4x-y=-4 Solving the equations
In equation 1
When x = 0
-3y = 4
y=-4/3 (0, -4/3)
When y = 0
-4x = 4
x= -1 (-1, 0)
In equation 2 when x = 0
-y = -y = 4 (0, 4)
When y = 0
4x=-4 x=-1 (-1, 0)
When these coordinates are used to plot the graph, graph number is is obtained.
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In 2016, Stare A produced 600 million pounds more apples that State B. Together, the two states produced 1600 million pounds of apples. Fine the amount of apples grown in State A and State B in 2016.
Answer:
800
Step-by-step explanation:
The Answer Is 8,000,000 Because
8×2 16 so 8,000,000 × 2=16,000,000
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
A line intersects the points
(4, 2) and (7, 8).
What is the slope of the line in
simplest form?
m = [?]
Answer:
2
Brainliest, please!
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1
y2 = 8 and y1 = 2 -> 8 - 2 = 6
x2 = 7 and x1 = 4 -> 7 - 4 = 3
6/3 = 2
Greg washes cars on Saturdays at his dad’s car dealership. His dad pays him $50 plus $5 for each car that he washes. Greg washed 11 cars last Saturday. Use function notation to write an equation that gives the total amount Greg earns as a function of the number of cars he washes. Use the equation to find how much he earned last Saturday.
(SHOW WORK)
Answer:
605
Step-by-step explanation:
11x55=605
At the beginning of 2022, Robotics Incorporated acquired a manufacturing facility for $14.0 million. $11.0 million of the purchase price was allocated to the building. Depreciation for 2022 and 2023 was calculated using the straight-line method, a 20-year useful life, and a $3.0 million residual value. In 2024, the company switched to the double-declining-balance depreciation method.
Answer: $511,667
Step-by-step explanation: .
10 1/18 as a decimal
Answer:
10.06 or 10.56
Step-by-step explanation:
10 + (1 divided by 18) = 10.05555556
Answer: 10.06
Step-by-step explanation:
Karen calculated the total volume as 23 cubic units.
The measurement of each side it’s a whole number
Enter a possible value in the unit for M
The calculated possible value in the unit for M is 2 units
Calculating a possible value in the unit for MFrom the question, we have the following parameters that can be used in our computation:
The composite figure
The volume of the figure is the sum of the volumes of the individual figures
Using the above as a guide, we have the following:
Volume = 3 * 1 * 5 + m * 1 * 4
This gives
Volume = 15 + 4m
Karen calculated the total volume as 23 cubic units.
So, we have
15 + 4m = 23
Evaluate
4m = 8
Divide by 4
m = 2
Hence, a possible value of m is 2
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