To find the value of x:
Since, by using RHS congruence rule,
\(\Delta\text{RTU}\cong\Delta RTS\)Therefore,
\(\begin{gathered} RU=RS \\ 6x+5=8x \\ 5=2x \\ x=2.5 \end{gathered}\)Hence, the value of x is 2.5.
Next, to find the length of line segment RU.
\(\begin{gathered} RU=6x+5 \\ =6(2.5)+5 \\ =15+5 \\ =20 \end{gathered}\)Hence, the length of RU is 20.
simplify the fraction completly
36/100
Answer:
9/25
Step-by-step explanation:
If you divide 36 and 100 by 4, you get 9 and 25.
Answer:
9/25
Step-by-step explanation:
36 / 4 = 9
100 / 4 = 25
FInal answer = 9/25
Let f left parenthesis x right parenthesis equals x cubed minus x squared minus 1 and x subscript 0 equals 1 . To the nearest three decimal places, find x subscript 5 using Newton's method of approximation.
The value of \(x_5\), rounded to the nearest decimal place using Newton's method of approximation is 1.466.
The correct answer is option B.
To find the value of \(x_5\)using Newton's method of approximation, we need to iterate the following formula:
\(x_(_n_+_1_) = x_n - f(x_n) / f'(x_n)\)
where f'(x) represents the derivative of the function f(x). Let's calculate the values step by step.
Given function: f(x) = \(x^3 - x^2 - 1\)
Step 1: Find the derivative of f(x)
f'(x) = \(3x^2 - 2x\)
Step 2: Initialize the starting value
\(x_0\)= 1
Step 3: Calculate \(x_1\)
\(f(x_0) = f(1) = (1^3) - (1^2) - 1 = 1 - 1 - 1 = -1\)
\(f'(x_0) = f'(1) = (3(1^2)) - (2(1)) = 3 - 2 = 1\)
\(x_1 = x_0 - f(x_0) / f'(x_0)\)
= 1 - (-1) / 1
= 2
Step 4: Calculate \(x_2\)
\(f(x_1) = f(2) = (2^3) - (2^2) - 1 = 8 - 4 - 1 = 3\)
\(f'(x_1) = f'(2) = (3(2^2)) - (2(2)) = 12 - 4 = 8\)
\(x_2 = x_1 - f(x_1) / f'(x_1)\)
= 2 - 3 / 8
= 1.625
Step 5: Repeat the process until we reach \(x_5\)
Performing the calculations for \(x_3, x_4, andx_5\), we find:
\(x_3\) ≈ 1.465
\(x_4\) ≈ 1.466
\(x_5\)≈ 1.466
After applying Newton's method of approximation to the function f(x) = \(x^3 - x^2 - 1,\)starting with,\(x_0 = 1,\) we iteratively calculated the values of \(x_1, x_2, x_3, x_4, and x_5\). The final approximation, \(x_5\), is approximately 1.466 when rounded to the nearest decimal place. This aligns with option B as the correct answer.
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two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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a tank is filled with petrol at 35 litres per minute. the tank already had 10 liters in it before the filling began. write an equation in standard form for this situation.
The equation for a tank that is filled with petrol at 10 liters already and filling at 35 liters per minute is y = 35x + 10
How to write expression for a filling a tankThe equation required here is a linear equation
The graph of linear equation is a straight line graph and the relationship is expressed in the form.
y = mx + c
variables are defined as below
y = total petrol in liters
m = filling in liters per minute = 35
x = number of liters
c = quantity before the filling began = 10
The expression is
y = 35x + 10
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A rectangular prism has a width of x2 inches and a length of xy2 inches and a height of xy inches.
Which expression represents the volume of the rectangular prism in cubic inches?
2x^2y^2
2xy^3 + 2x^2y
2x^4y^3
x^3y^2
The red triangle is a dilation of the blue triangle, with a scale factor, of k=1.5
Use the hotspots to fill in the missing measurements and similarity statement
The measure of each angle and side is given above.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is that the red triangle is a dilation of the blue triangle, with a scale factor of {k} = 1.5.
We can write -
57/RT = 1.5
RT = 57/1.5
RT = 38
LM/20 = 1.5
LM = 20 x 1.5
LM = 30
MN/26 = 1.5
MN = 26 x 1.5
MN = 39
∠2 = 15°
∠1 = 121°
Therefore, the measure of each angle and side is given above.
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Which expression represents the commutative property?
a. 3 ÷ 9 = 9 ÷ 3
b. 6 + (5 + 4) = (6 + 5) + 4
c. 7 (2 + 8)
d. 15 + 1 = 1 + 15
Answer:
b) and c)
Step-by-step explanation:
a)
3/9 = 9/3
0,33 = 3 NO
b) 6+(5+4) = (6+5)+4
6+9 = 11+4
15 = 15 YES
c) 7(2+8) = ? NO
d) 15 + 1 = 1 + 15
16 = 16 YES
How much sales tax is charged on an item that costs $300 if the sales tax rate is 10%? What is the total price of the item?
Answer:
the total price of the item including sales tax is $330.
Step-by-step explanation:
If the sales tax rate is 10%, then the amount of sales tax charged on an item that costs $300 can be found by multiplying the cost of the item by the sales tax rate:
Sales tax = 10% of $300
= 0.1 x $300
= $30
Therefore, the sales tax charged on the item is $30.
To find the total price of the item including sales tax, we need to add the cost of the item to the sales tax charged:
Total price = Cost of item + Sales tax
= $300 + $30
= $330
Therefore, the total price of the item including sales tax is $330.
if a box of cereal costs $4.29 and contains 8 serving of cereal, then how many servings of cereal do you get for $1?
Answer: To make it very simple for ourselves, we can just divide 8 by 4.29. Our answer will then be 1.8648018648 or rounded to 1.86 servings per dollar.
Hope this helps.
Determine any data values that are missing from the table, assuming that the data represent a linear function.
X Y
7 16
9 17
18
13
a Missing x:13
Missing y:20
b. Missing x:13
Missing y.19
C. Missing x:11
Missing y:20
d. Missing x:11
Missing y:19
Answer:
well y is 19 and x is 11
Step-by-step explanation:
all I did is add one for a while then after that I go and I put 9 + 4 which equals 13 then in between 13 is 11 so I divided 13 by 2 basically and it's just 11
Which expression is equivalent to 200k¹5, if k + 0?
O A. 2k¹225
O B. 2k5 25
O c.
O D.
8k5/25
8kv/25
Answer: Choice B
\(2k^5\sqrt[3]{25}\)
================================================
Work Shown:
\(\sqrt[3]{200k^{15}}\\\\\sqrt[3]{8*25k^{5*3}}\\\\\sqrt[3]{8*25(k^5)^3}\\\\\sqrt[3]{8(k^5)^3*25}\\\\\sqrt[3]{8(k^5)^3}*\sqrt[3]{25}\\\\2k^5\sqrt[3]{25}\)
------------------------
Explanation:
The goal is to factor the radicand in such a way that we pull out perfect cube factors.
Notice that 200 = 8*25 and 8 is a perfect cube (since 2^3 = 8). It is the largest perfect cube factor of 200.
We can rewrite the k^15 as k^(5*3) which is equivalent to (k^5)^3
Once these perfect cube factors are pulled out, they cancel with the cube root to get what you see above.
Complete the pairs of corresponding parts
Answer:
1 Is the answer
Step-by-step explanation:
Answer:
i dk where on earth my pen is nvm, it's the required answer
P ( A ) = 0.67 , P(A∪B)=0.89 and ( B ) = 0.54 . Find P(A∪B′) P ( A ∪ B ′ ) . Give an exact answer as a decimal
The value of the probability P(A u B') is 0.8218
How to determine the probability?The given parameters are
P(A) = 0.67
P(B) = 0.54
P(A u B) = 0.89
From the above parameters, we have
P(B') = 1 - P(B)
P(B') = 1 - 0.54
P(B') = 0.46
So, we have
P(A u B') = P(A) + P(B') - [P(A) * P(B')]
This gives
P(A u B') = 0.67 + 0.46 - (0.67 * 0.46)
Evaluate
P(A u B') = 0.8218
Hence, the value of the probability P(A u B') is 0.8218
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HELP URGENT WILL GIVE BRAINLIEST
Answer:
A. parabola I believe that is the answer
Find the product. 8 4²/7 × ₁5 15
Answer: 519 120
Step-by-step explanation:
84*84=7056
7056/7=1008
1008*515=519 120
Please ONLY put answers that actually make sense or else it WILL be removed
6^2 + (3 x 4) − 2^4
Enter your answer in the box.
Answer:
34
Step-by-step explanation:
lol i looked it up. there you go
Of the last three chapters tests given in a computer programming class, 11 students passed all three tests , 9 students passed two tests, and 2 students passed one test. If a single student is picked at random what is the probability that the student passed all three tests or passed one test ? Provide the final answer as a fraction
Answer:
13/22
Step-by-step explanation:
The total number of students is 11+9+2=22. The number that passed all three tests or passed one test is 11+2=13, so the answer is 13/22.
If a single student is picked at random, then the probability that the student passed all three tests or passed one test is 13/22
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that Of the last three chapters tests given in a computer programming class, 11 students passed all three tests , 9 students passed two tests, and 2 students passed one test.
If a single student is picked at random, then the probability that the student passed all three tests or passed one test.
The total number of students is;
11 + 9 + 2 = 22.
The number that passed all three tests or passed one test will be;
11+2=13,
Therefore, the answer is 13/22.
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Calculate the length of a chord of a circle of radius 26cm if the chord is 10cm from the center of the circle
Answer: see explanation
Step-by-step explanation:
The 10 cm distance is measured perpendicularly to the chord, forming a right angle and bisecting the chord. Thus half of the chord, the segment from the center of the chord, and a radius to the end of the chord form a right triangle. The hypotenuse is 26 cm and one leg is 10 cm, so the other leg is given by the Pythagorean theorem: a^2 + 10^2 = 26^2, giving a = 24 cm. Since a is half the chord, the chord is 2a = 48 cm in length.
Hence, the length of a chord of a circle is \(48cm\).
What is the circle?
A circle is defined as a two-dimensional figure, which is round in shape where all the points on the surface of the circle are equidistant from the center point is called “\(P\)”.
Here given that,
A circle of radius \(26\)cm if the chord is \(10\)cm from the center of the circle.
So,
The \(10\)cm from the center of the circle is perpendicular of the chord and the hypotenuse is \(26\)cm .
As we know
\(H^2=B^2+P^2\) .......\((1)\)
Substituting the values in the equation \((1)\), we get
\((26)^2=(10)^2+B^2\\B^2=676-100\\B^2=576\\B=\sqrt{576}\\B=24cm\)
Hence, the length of a chord of a circle is \(48cm\).
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Evaluate x^3– y^2 if x = 2 and y= 3/4
Answer:
2³-3/4²
Step-by-step explanation:
The system of equations has 2x-y=2(x+1) y=-2
A. no solution
B. one solution
C. infinitely many solutions
Answer:
A.
Step-by-step explanation:
This equation has no solution.
Hello please help me solve this :) will give braisnlt
What’s the order ???
For immigration
C A B E D
i think this is the answer
Pre-cal! Please help!
Represent the product of A and B geometrically given that point A is located at (2,45°) and B is located at (4, 45°). Give
the coordinate of AxB in polar form.
Answer:
(8,90°)
Step-by-step explanation:
To get this answer, you multiply the r values together to get 2*4 = 8. At the same time, you add the theta angles to get 45° + 45° = 90°
The general rule is that if A = (r,theta) and B = (s,phi) then
A*B = (r*s,theta+phi)
where the point (s,phi) is a polar form point.
Can you help solve problem 11
Answer:
i dont know that try looking it up
3) Al hacerle un inventario el Sr. Manuel a su negocio que inició con un capital de 800.000,00 Bs, y su precio de venta al público el 60% sobre el costo de los productos, éste arrojó un monto de 385.000,00 Bs. Tomándose en cuenta que en gastos fueron 74.680,00 Bs, en pagos varios 247.000,00 Bs y en cuentas por pagar 185.460,00 Bs. ¿Diga, si el saldo del negocio es positivo (Ganancia) o es negativo (Pérdida)?
The end balance is negative, so Mr. Manuel lost money.
Is there a profit or a loss?We know that Mr. Manuel spended $800,000 in a product, and it can be sold with an extra 60% over the cost. Then the revenue here is:
$800,000*(1.6) = $1,280,000
We also know that there are costs of $75,680, $247.000 and $185.460.
Now we know that profit is defined as the difference between the revenue and the costs, so to get the profit we need to solve the equation below:
P = $1,280,000 - $800,000 - $75,680 - $247.000 - $185.460
P = -$28,140
So we can see that Mr. Manuel had a loss at the end.
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The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
d. (3+5i) (6-i) = Show your work.
Answer:
4i + 9 < simplified version
Step-by-step explanation:
3 + 5i + 6 - i =
4i + 9
Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .
Answer:
2
Step-by-step explanation:
We are given that a graph which represents f(x).
Interval:[-4,-1]
We have to find the average rate of change of the function f(x).
From the graph we can see that
f(-4)=-3
f(-1)=3
We know that the average rate of change of the function
Average rate =\(\frac{f(b)-f(a)}{b-a}\)
Using the formula
Average rate of change of f=\(\frac{3-(-3)}{-1-(-4)}\)
Average rate of change of f=\(\frac{6}{3}=2\)
The formula for the perimeter of a rectangle is p = 2 l + 2 w. Which is the equivalent equation solved for w? StartFraction P minus 2 l Over 2 EndFraction = w StartFraction P + 2 l Over 2 EndFraction = w P + l = w P minus l = w
Answer:
Correct option: first one
"StartFraction P minus 2 l Over 2 EndFraction = w"
Step-by-step explanation:
First we start from the perimeter equation:
P = 2*l + 2*w
Then, we need to solve for w, so we need to isolate it.
The first step is subtracting 2*l from both sides of the equation:
P - 2*l = 2*w
Then, we divide both sides by 2:
w = (P - 2l) / 2
So the correct option is the first one:
"StartFraction P minus 2 l Over 2 EndFraction = w"
Answer:
Its the first one
Step-by-step explanation:
i got it right on edge
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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