Answer:
SSS
Both these triangles are congruent to each other by SSS congruency
Hope it helps
-24+to the power of 3
Answer:
-13824
Step-by-step explanation:
Predict the decimal for 4÷9. Divide to check your prediction, and describe the results.
Answer: ~0.5. the correct one is ~.04 . the result was off because we used 8 instead of 9. We did that because 4 goes into 8 easier than 9
Step-by-step explanation:
Solve and check the linear equation.
3(x-2) + 8 = 2(x + 5)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
3(x - 2) + 8 = 2(x + 5)
Step 2: Solve for x
(Parenthesis) Distribute: 3x - 6 + 8 = 2x + 10Combine like terms: 3x + 2 = 2x + 10{Subtraction Property of Equality] Subtract 2x on both sides: x + 2 = 10[Subtraction Property of Equality] Subtract 2 on both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) + 8 = 2(8 + 5)(Parenthesis) Subtract/Add: 3(6) + 8 = 2(13)Multiply: 18 + 8 = 26Add: 26 = 26Here we see that 26 does indeed equal 26.
∴ x = 8 is the solution to the equation.
List the integer values of n which satisfy the inequality 2
Answer:
2, 3, 4, 5, 6
Step-by-step explanation:
Hi there!
We're given that \(2\le n < 7\). This means that n can be any value in between 2 and 7, and also 2.
2
The integer values in between 2 and 7 are 3, 4, 5 and 6.
2, 3, 4, 5, 6
I hope this helps!
A team of Biologists captured and tagged 55 deers in a forest. Two weeks later, the biologists captured a sample of 40 deer from the same forest and found that 8 of them were tagged. Which proportion would you use to find the total number of deer?
The proportion: 55/x = 4/40
The total number of deers = 550
Explanation:First number of tagged deers = 55
let the number of deers = x
when the number of deers = 40
Number of tagged deers = 4
Proportion that can be used:
number of tagged deer/total number of deer for each of the sample
\(\frac{55}{x}=\frac{4}{40}\)\(\begin{gathered} 55(40)\text{ = 4x} \\ 2200\text{ = 4x} \\ \frac{2200}{4}=\frac{4x}{4} \\ x\text{ = 550} \end{gathered}\)The total number of deers = 550
The proportion: 55/x = 4/40
A particle is moving on the curve x^y=1. As it passes through the point (2,1/4), the xcoordinate is increasing at a rate of 2 units per second. At what rate is the y-coordinate changing at that time?
Answer:
y-coordinate is decreasing at the rate of \(\dfrac{1}{2}\) unit/sec.
Step-by-step explanation:
Given that:
The curve of the particle \(x^2y = 1\)
Then:
\(y = \dfrac{1}{x^2}\)
Taking the differential of y with respect to t
\(\dfrac{dy}{dt}= \dfrac{dx^{-2}}{dx} * \dfrac{dx}{dt}\)
\(= -2x^{-3} \dfrac{dx}{dt}\)
At (2, 1/4)
\(\dfrac{dx}{dt} = 2\)
This implies that:
\(\implies \dfrac{dy}{dt} = -\dfrac{2}{8}(2)\)
\(\dfrac{dy}{dt} = -\dfrac{1}{2} \ \ unit/sec\)
Thus, y-coordinate is decreasing at the rate of \(\dfrac{1}{2}\) unit/sec.
Fill in the blank.
milliliters = 42 liters
Answer:
42 liters= 42000 milliliters
Answer:
42000
Step-by-step explanation:
1 litre = 1000 ml
42 l = 42 × 1000 ml
42 li = 42000ml
pls help with this..
Answer:
B
Step-by-step explanation:
given scale is 1 inch represents 7.5 feet
then we require to calculate how many 7.5 feet there are in each dimension.
to obtain this divide each dimension by 7.5, that is
13 ÷ 7.5 ≈ 1.73 ( to 2 decimal places )
26 ÷ 7.5 ≈ 3.47 ( to 2 decimal places )
then dimensions are approximately 1.73 inches by 3.47 inches
-2.875 greater than or less than -2 7/8
Answer:
They are both the same.
Step-by-step explanation:
-2.875
7/8 = 0.875 thus -2 7/8 is equal to -2.875
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
Simplify(x^10)/(x^5)
Find the measure of Arc AC in the figure below. Explain your answer by showing your
steps or explain by writing 2-3 sentences.
PLS HELP!
Answer: 21
Step-by-step explanation:
arc AC = 2b
3x + 9 = 2(3x - 1.5)
3x + 9 = 6x - 3
solve for x
6x - 3x = 9 + 3
3x = 12
x = 4
substitute in the 2 equations
3 (4) - 1.5 = 10.5
which means that if we substitute in the second equation we should get 21
3(4) + 9 = 21
so arc AC= 21 degrees
5. This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x = 0).
Part I:
a) What is the domain? (1 point) _______
b) What does the domain mean in terms of the problem? (2 points)
Part II:
a) What is the range? (1 point) __________________________
b) What does the range mean in terms of the problem? (2 points)
Part III:
a) When is the function decreasing? (2 points) __________________________
b) What does this decreasing interval mean in terms of the problem? (2 points)
For the graphed function, it is found that:
I. a) The domain of the function is [0,12].
I. b) The domain represents the time in hours that the temperature was observed.
II. a) The range of the function is [-2,4].
II. b) The range represents the temperatures observed.
III. a) The function is decreasing on the interval [0,3].
III. b) On this interval, the temperatures are falling.
Domain and rangeThe domain of a function is composed by the set containing all the input values of the function.
In the graphed function, the input is the time in hours, hence the domain is given by the following interval:
[0,12].
The range of the function is composed by the set containing all the output values of the function.
In the graphed function, the output is the temperature, hence the range is given by the following interval:
[-2,4].
The function is decreasing when the graph is moving right and down, hence the interval in which the temperatures are falling are given as follows:
[0,3].
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Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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4000 is 0.8% of what number?
Answer:
the correct answer should be 500,000 hope this helps
4000 is 0.8% of 500000.
4X to the power of four minus 3X to the power of 3+ 6X -10 divided by X plus one
The function [4x⁻⁴ - 3x ³ + 6x -10]/ x +1 is described accordingly.
What is the description of the above function?The graph of the function [4x⁻⁴ - 3x³ + 6x - 10]/(x + 1) represents a rational function.
It may exhibit vertical asymptotes at x = -1, where the function approaches infinity or negative infinity.
The graph can also have x-intercepts and may show different behavior based on the values of x.
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Full question
Describe the [4x⁻⁴ - 3x ³ + 6x -10]/ x +1
Expresa el siguiente número 14322000000000000 en notación científica *
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
Find the location of A' given that A is (7, 1).
Translate 1 unit left.
The location of A' is ____
Answer:
We conclude that the location of A' is: A'(6, 1)
Step-by-step explanation:
Given
A(7, 1)To determine:
The location of A'
Translation Rule:
As we have to translate 1 unit left, meaning we need to subtract 1 unit from the x-coordinate of point A(7, 1) to determine the location of A'.
In other words, the translation rule is:
A(x, y) → A'(x-1, y)
as
A(7, 1)
so
A(7, 1) → A'(7-1, 1) = A'(6, 1)
Therefore, we conclude that the location of A' is: A'(6, 1)
solve 4n-6(n+1)>12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality expression is n < -9
How to solve the inequality expression?The inequality expression is given as
4n - 6(n + 1) > 12
Open the bracket in the above inequality expression
4n - 6n - 6 > 12
Evaluate the like terms
-2n > 18
Divide both sides by -2
n < -9
Hence, the solution to the inequality expression is n < -9
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which expression is equivalent to 5(-5t - 9) - 2
5(-5t - 9) - 2
-25t - 45 - 2
-25t - 47
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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Can someone help !!
2. What is the probability that you select a Jack given that it is a Club?
P(Jack∣Club)=
3. What is the probability that you select a Club given that it is a Jack?
P(Club∣Jack)=
4. What is the probability that you select a card that is NOT a Jack given that it is NOT a Club?
P(NotJack∣NotClub)=
5. What is the probability that you select a card that is NOT a Club given that is it NOT a Jack?
The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.
The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.
The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38
The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47
The probability that you select a Jack given that it is a Club P(Jack|Club):
There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.
So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)
P(Jack|Club) = 1 / 13
The probability that you select a Club given that it is a Jack
P(Club|Jack):
P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes
P(Club|Jack) = 1 / 4
The probability that you select a card that is not a Jack given that it is not a Club
P(NotJack|NotClub):
The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).
P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes
P(NotJack|NotClub) = (48 - 1) / (39 - 1)
=47/38
P(NotClub|NotJack) = (39 - 1) / (48 - 1)
=38/47
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2x – 3 > -4x + 2
What is the solution to the inequality
Answer:
\(x>\frac{5}{6}\)
Step-by-step explanation:
\(2x-3>-4x+2\)
Add 3 to both sides
\(2x-3+3>-4x+2+3\)
Simplify
\(2x>-4x+5\)
Add \(4x\) to both sides
\(2x+4x>-4x+5+4x\)
Simplify
\(6x>5\)
Divide both sides by 6
\(\frac{6x}{6} >\frac{5}{6}\)
Simplify
\(x>\frac{5}{6}\)
find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = 1 + 10. Vt, y+t^5 -t, and z + t^5 + t; (11, 0, 2)?
Dy/dx = (dy/dt)/(dx/dt) denotes the slope of the tangent line of a parametric curve whose parametric equations are x = /(t) and y = g(t). Wherever dy/dt is zero and dx/dt is zero, a parametric curve has a horizontal tangent.
What is the formula for parametric equations?The x and y coordinates are defined as functions of t when parametric form is used to represent angles: Plot the entire circle by using the equations x = r cos t and y = r sin t. Polar equations are the name given to these parametric equations.
The given x=1+12+ dx=dt 0+12(1) =12
Parametric y Curve is as follows: ts-t dy 5t-1 dt z = ts+t dz dt 5t +1 (dz, dy, dz) = (12, 5t-1, St+1) dt 7 dt dt x = 13 =) When, 1+12 t = 13 12
(x(t), y(t), and z(t)) = (13,0,2) + + (12, 4, 6) x(t), y(t), and 2(t)) = (13+12t, ut, 2+ 6+) x(t) = 13+12t, y(t) = ut, 2(t).
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Full Question = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.
x = 1 + 12 t , y = t5 − t, z = t5 + t; (13, 0, 2)
x(t), y(t), z(t) =
Pls due now I will give brainliest if right
Answer:
(-2,1)
Step-by-step explanation:
i graphed it ..its right
Explanation:
The graph is shown below.
The line y = 2x+5 goes through (0,5) and (1,7).
The line y = (1/2)x+2 goes through (0,2) and (2,3)
The two lines intersect at exactly (-2, 1) which is the solution to the system.
Quadrilateral PAID is a rectangle whose diagonals have the endpoints P(-3, -2)I(4, -7) and A(4, -2)D(-3, -7). Find the diagonals' intersection point. In complete sentences, explain which method you used for finding the intersection point.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it. If necessary, leave your answers in terms of a fraction.
PLS I NEED ANSWER ASAP!!!!
Step-by-step explanation:
step 1 find thd equation of line PI
step 2 find the equation of line AD
step 3 solve the two equations of the 2 lines
step 4 the valued of x and y obtained from step 3are yhe coordinates of the intetcept
Solve for x.
5/25=9/(x+4)
Answer: x = 41
For x in the equation
5/25=9/(x+4)
5(x+4) =9(25)
5x + 20 = 225
5x = 205
x = 41
Therefore, the value of x for the equation 5/25=9/(x+4) is x = 41
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A charity is considering the possibility of having a benefit night at two different restaurants. The owner of the local Italian restaurant has offered to make a donation of $462 and $1 per diner that night. On the other hand, the owner of the Mexican restaurant has said he could contribute $235 plus $2 per diner. Based on the number of diners who have promised to participate in the event, it appears that each restaurant would donate the same total amount. How many diners promised to participate? How much would each restaurant donate?
Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:
Italian restaurant:
Donation = $462 + $1 per diner
Donation = $462 + $1x
Mexican restaurant:
Donation = $235 + $2 per diner
Donation = $235 + $2y
Since both restaurants will donate the same total amount, we can set their donations equal to each other:
$462 + $1x = $235 + $2y
Simplifying this equation, we get:
$2y - $1x = $227
We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.
For example, if we try x = 200, then we can solve for y:
$2y - $1(200) = $227
$2y = $427
y = 213.5
Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:
$2y - $1(250) = $227
$2y = $477
y = 238.5
Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:
$2y - $1(300) = $227
$2y = $527
y = 263.5
Still not a whole number, so we try x = 350:
$2y - $1(350) = $227
$2y = $577
y = 288.5
Finally, we get a whole number for y, so we have our solution:
Italian restaurant: x = 350 diners, donation = $812
Mexican restaurant: y = 289 diners, donation = $812
Therefore, 350 diners promised to participate and each restaurant would donate $812.
Please help urgent!!
Answer: 37 dollars
Step-by-step explanation: 7$ times 3 hours = 21 dollars and 8$ times 2hours = 16. 16+21= 37$
Answer:
37 dollars
Step-by-step explanation:
Find the distance between the points (-8, -2) and (6,-1). Round your answer to the nearest hundredth.
Answer:
distance is 14.04
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.
we use Pythagoras
c² = a² + b²
c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).
the x difference
-8 - 6 = -14
the y difference
-2 - -1 = -1
c² = -14² + -1² = 196 + 1 = 197
c = sqrt(197) = 14.04