PLEASE HELP ME(NO FAKE ANSWERS) PLEASE 15 points! All my points

Answer:

60 and 38

Step-by-step explanation:

let the two numbers be X and Y

X + Y = 98-----------(1 )

X - Y = 22-----------(2)

using elimination method, subtracting equation (1) from equation (2)

X - X = 0

+Y -(-Y) = Y + Y = 2Y

98 -22 = 76

2Y = 76

dividing bothsides by 2

2Y/2 = 76/2

Y = 38

substitute Y = 38 into equation (1)

X + 38 = 98

X = 98-38 = 60

therefore, the two numbers are 60 and 38

Answer:

2

Step-by-step explanation:

1+1=2

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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Answer:

5x43

it can only be divided by 1, 5, and 43.

When 215 is written as a product of its prime factor, the result is 5 × 43.

To find the prime factorization of 215, we'll divide it by its smallest prime factor and continue the process until we get all the prime factors. Here's the step-by-step breakdown:

Divide 215 by the smallest prime number, which is 5. We get:

215 ÷ 5 = 43

43 is a prime number, so we stop here.

Now, the prime factorization of 215 is:

215 = 5 × 43

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Answer:

Remember a key rule in dividing numbers with decimals—you need to do the same thing to both numbers in the expression. To make 15.75 a whole number, we need to multiply it by 10 twice, or, you could say, we need to multiply it by 100. That in effect moves the decimal place over two places to the right, giving us 1,575.

Step-by-step explanation:

Answer:

p = -30 + 20

Hope this helps!

Answer:

0

No other rational number is its own reciprocal. We know that there is no rational number which when multiplied with 0, gives 1. Therefore, rational number 0 has no reciprocal or multiplicative inverse.

I hope it's helpful!

Answer: 27,81

Step-by-step explanation:

First you do 3*3=9

9*3=27

27*3=81

So the sequence will be 3,9,27,81

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Answer:27,81

Step-by-step explanation:

The two values of r that satisfy the differential equation are:
r=-9 and r=-7

The differential equation given is:
x2y′′+17xy′+63y=0
Let y=xr, so we can find the values of r that satisfy the differential equation.
First, we need to find the first and second derivatives of y with respect to x.
y′=rxr-1
y′′=r(r-1)xr-2
Now, we can substitute these derivatives into the differential equation:
x2(r(r-1)xr-2)+17x(rxr-1)+63xr=0
Simplifying gives us:
r(r-1)xr+17rxr+63xr=0
Factoring out xr gives us:
xr(r(r-1)+17r+63)=0
Since x>0, xr cannot equal 0. So we need to find the values of r that satisfy the equation:
r(r-1)+17r+63=0
r2+16r+63=0
Using the quadratic formula gives us:
r=(-16±√(16^2-4(1)(63)))/(2(1))
r=(-16±√(256-252))/2
r=(-16±√4)/2
r=(-16±2)/2
So the two values of r that satisfy the differential equation are:
r=-9 and r=-7
-9, -7

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The power series representation for the function f(x) = x / (1+5x)^2 with a non-zero first term is given by ∑[n=0 to ∞] (-1)^n * (n+1) * x^n.

To find the power series representation, we can start by expressing f(x) as a geometric series. First, we expand the denominator using the binomial series:

(1+5x)^-2 = 1 - 2(5x) + 3(5x)^2 - 4(5x)^3 + ...

Now, we can substitute this expansion into the function f(x):

f(x) = x / (1+5x)^2 = x * (1 - 2(5x) + 3(5x)^2 - 4(5x)^3 + ...)

Next, we can rearrange the terms and factor out x:

f(x) = x * (1 - 2(5x) + 3(5x)^2 - 4(5x)^3 + ...)

= x * (1 - 2∑[n=1 to ∞] n(5x)^n)

Now, we can differentiate both sides of the equation term by term to find the power series representation. Differentiating x gives 1, and differentiating (5x)^n gives n(5x)^(n-1) * 5. Thus, we have:

f'(x) = 1 - 2∑[n=1 to ∞] n(5x)^(n-1) * 5

To eliminate the factor of 5, we can rewrite this as:

f'(x) = 1 - 10∑[n=1 to ∞] n(5x)^(n-1)

Since the first term of the power series representation should not be zero, we start the summation from n = 1. Finally, we can rewrite the sum using a different index variable:

f'(x) = 1 - 10∑[n=0 to ∞] (n+1)(5x)^n

The power series representation for f(x) is then given by integrating f'(x):

f(x) = ∫[0 to x] (1 - 10∑[n=0 to ∞] (n+1)(5t)^n) dt

Simplifying the integral and replacing t with x, we obtain the final power series representation:

f(x) = ∑[n=0 to ∞] (-1)^n * (n+1) * x^n

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It is important to always be factually accurate, professional, and friendly. One should be concise and not provide extraneous amounts of detail. Ignoring any typos or irrelevant parts of the question is not recommended. One should always provide a relevant and comprehensive answer to the question asked.In the given student question, the statement missing from the lawyer's plan of construction of an angle bisector is not mentioned.

The given problem is incomplete and does not provide the plan of the lawyer's construction of an angle bisector. Therefore, the statement missing from the plan cannot be determined. Let's discuss how to construct an angle bisector.Constructing an angle bisector is an important process in geometry. It is a line that divides an angle into two equal parts. It is constructed with the help of a compass and a ruler by following these steps:

Step 1: Draw an angle.

Step 2: Place the compass on one arm of the angle and draw an arc that intersects the other arm.

Step 3: Keep the compass open and place it on the other arm of the angle and draw another arc that intersects the first arc drawn in step 2.

Step 4: Draw a straight line through the point of intersection of the two arcs. This line is the angle bisector. It divides the angle into two equal parts.

Thus, constructing an angle bisector is important in geometry, and the given student question does not provide the plan of the lawyer's construction of an angle bisector.

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The probability that Cowboy B wins and Cowboy A loses in a single round is 51.1%.

To calculate the probability that Cowboy B wins and Cowboy A loses in a single round, we need to consider the probabilities of both events happening.

First, let's find the probability that Cowboy B hits Cowboy A. Since Cowboy B shoots with 70% precision, the probability that he hits is 0.7 (or 70%). Therefore, the probability that he misses is 1 - 0.7 = 0.3 (or 30%).

Now, let's consider the probability that Cowboy A misses. Cowboy A shoots with 73% precision, so the probability that he misses is 0.73 (or 73%).

To find the probability that B wins and A loses in a single round, we multiply the probability of B hitting A (0.7) by the probability of A missing (0.73). This gives us:

0.7 * 0.73 = 0.511 (or 51.1%).

Therefore, the probability that Cowboy B wins and Cowboy A loses in a single round is 51.1%.

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Answer:

18

Step-by-step explanation:

the answer is 18 because when you multiply two negative numbers, the result is the same as if the two numbers were positive.

Therefore, -9x-2=9x2=18

Answer:

18

Step-by-step explanation:

(-9)-2

negative times a negtive = positive

9 *2 = 18

Answer:

5 apples

Step-by-step explanation:

Solution,

4 apples are required for a pie tin with a diameter of 8 inches

For 1 inch of the pie tin 8/4=2 apples are required.

For 10 inches 10/2=5 apples are required.

Answer:

Step-by-step explanation:

Let the number of apples be a and diameter be d.

The relationship is:

We have a = 4 when d = 8.

Find k:

The equation is now:

Find a when d = 10:

Answer:

Step-by-step explanation:

Find the area of the circle with a circumference of

. Write your solution in terms of

.

Area in terms of

: ______

Enrique has 16 cups of milk and 2 cups of orange juice, making a total of 18 cups of liquid in all.

The number of cups of milk and orange juice Enrique have in all is calculated by converting the gallon of milk and the pint of orange juice in unit of cup as shown below;

For the gallon of milk:

1 gallon of milk = 1 gallon x 16 cups/gallon

= 16 cups

For the pint of orange juice:

1 pint of orange juice = 1 pint x 2 cups/pint

= 2 cups

Total number of cups = 16 cups + 2 cups = 18 cups

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Answer:

To express the quadratic expression x^2 - 5x + 8 in the form of (x - a)^2 + b, we need to complete the square. To do this, we can add and subtract the square of half the coefficient of the x term. In this case, that would be (1/2)(-5) = -5/2. Therefore, we add and subtract (1/2)(-5)^2 = (-5/2)^2 = 25/4 to get:

x^2 - 5x + 8 = (x^2 - 5x + (25/4)) + (8 - (25/4))

Next, we need to add and subtract 25/4 in such a way that we can factor the quadratic expression as the square of a binomial. To do this, we add 25/4 to the first term and subtract 25/4 from the second term to get:

x^2 - 5x + (25/4) + (8 - (25/4)) = (x^2 - 5x + 25/4) + (8 - 25/4)

Now we can factor the quadratic expression as the square of a binomial:

(x^2 - 5x + 25/4) + (8 - 25/4) = (x - 5/2)^2 + (8 - 25/4)

Therefore, we can express x^2 - 5x + 8 in the form of (x - a)^2 + b where a is -5/2 and b is 8 - 25/4.

Note that the values of a and b are not whole numbers because we added and subtracted a fraction when completing the square.

Answer:

Step-by-step explanation:

(9-5)/6-4)= 4/2= 2

y - 5 = 2(x - 4)

y - 5 = 2x - 8

y = 2x - 3 is the solution

Answer:

the answer is y = –2x – 5 hope this helps:) give brainliest if it does

Step-by-step explanation:

i got it right on edge

What is Midsegment Theorem ?

The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.

Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:

Statement 1: Measure of angle ADE is 68 degrees.

Reason 1: Given.

Statement 2: Measure of angle DAE is 90 degrees.

Reason 2: Definition of right angle.

Statement 3: Measure of angle AED is 22 degrees.

Reason 3: Angle sum of triangle ADE is 180 degrees.

Statement 4: Segment DE joins the midpoints of segment AB and AC.

Reason 4: Given.

Statement 5: Segment DE is parallel to segment BC.

Reason 5: Midsegment theorem.

Statement 6: Angle ECB is congruent to angle AED.

Reason 6: Corresponding angles formed by parallel lines.

Statement 7: Measure of angle ECB is 22 degrees.

Reason 7: Substitution property.

So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.

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The equation that relates y,x, and z when constant variation is -2: y = -2 *(z²) / x.

An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. An equation can have one or more unknown variables, and the goal is often to find the values of these variables that make the equation true. Equations are used in many different areas of mathematics and science to describe relationships between quantities, to solve problems, and to model real-world phenomena.

Here,

If y varies directly as the square of z and inversely as x, we can write:

y = k * (z²) / x

where k is the constant of variation. We are told that the constant of variation is -2, so we can substitute this value into the equation:

y = -2 * (z²) / x

This is the equation that relates y, x, and z.

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Answer:

negative

Step-by-step explanation:

The quadrants in which sin and cosine will have same sign are :

=》1st quadrant - both have positive values

=》3rd quadrant - both have negative values

Answer:

a

Step-by-step explanation:

it is

Answer:

4√6

Step-by-step explanation:

cot60➜4√2/t

➜1/√3=4√2/t

➜t=4√2√3

➜t=4√6

Answer:

\(2\sqrt{2}\) = t

Step-by-step explanation:

Sin(30) = t / \(4\sqrt{2}\)

Sin(30) * \(4\sqrt{2}\) = t

\(2\sqrt{2}\) = t

Hope this helps!

we find that the numerical approximation using Euler's method gives y(2) ≈ 1.865, while the analytical solution gives y(2) = 2.5.

Using the formula y(n+1) = y(n) + Δx * f(x(n), y(n)), where f(x, y) = x² √y, we can calculate the values of y at each step. Here's the step-by-step calculation:

Step 1: For x = 0, y = 1 (initial condition).

Step 2: For x = 0.2, y = 1 + 0.2 * (0.2)² * √1 = 1.008.

Step 3: For x = 0.4, y = 1.008 + 0.2 * (0.4)² * √1.008 = 1.024.

Step 4: For x = 0.6, y = 1.024 + 0.2 * (0.6)² * √1.024 = 1.052.

Step 5: For x = 0.8, y = 1.052 + 0.2 * (0.8)² * √1.052 = 1.094.

Step 6: For x = 1.0, y = 1.094 + 0.2 * (1.0)² * √1.094 = 1.155.

Step 7: For x = 1.2, y = 1.155 + 0.2 * (1.2)² * √1.155 = 1.238.

Step 8: For x = 1.4, y = 1.238 + 0.2 * (1.4)² * √1.238 = 1.346.

Step 9: For x = 1.6, y = 1.346 + 0.2 * (1.6)² * √1.346 = 1.483.

Step 10: For x = 1.8, y = 1.483 + 0.2 * (1.8)² * √1.483 = 1.654.

Step 11: For x = 2.0, y = 1.654 + 0.2 * (2.0)² * √1.654 = 1.865.

Therefore, using Euler's method with a step size of Δx = 0.2, we approximate y(2) to be 1.865.

To obtain the analytical solution to the ODE, we can separate variables and integrate both sides:

∫(1/√y) dy = ∫x² dx

Integrating both sides gives:

2√y = (1/3)x³ + C

Solving for y:

y = (1/4)(x³ + C)²

Using the initial condition y(0) = 1, we can substitute x = 0 and y = 1 to find the value of C:

1 = (1/4)(0³ + C)²

1 = (1/4)C²

4 = C²

C = ±2

Since C can be either 2 or -2, the general solution to the ODE is:

y = (1/4)(x³ + 2)² or y = (1/4)(x³ - 2)²

Now, let's evaluate y(2) using the analytical solution:

y(2) = (1/4)(2³ + 2)² = (1/4)(8 + 2)² = (1/4)(10)² = 2.5

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Answer:

32.5 days. He already knows 10 leaving 65 words to learn. At 2 words a day divide and in 42m5 days he Wil be able to spell 75 words.

Answer:

X = -7 and y = -7.5

Step-by-step explanation:

Use substitution. Let’s try to get x by itself in the second question since it seems easier.

-4x + 4y = -2

-4x = -2 -4y

x = 1/2 + y

Subsitute that into the other equation for y.

4x -2y = -13

4(1/2 + y) - 2y = -13

2 + 4y -2y = -13 # Use the distributive property

2y = -15 # put together like terms

y = -7.5

Then plug it into the x formula

x = .5 -7.5

x = -7

Answer:

The solution is (-7, -7 1/2)

Step-by-step explanation:

 4x – 2y = –13  

–4x + 4y = –2

-------------------------

          2y = -15, and so y = -7 1/2.

Now find x.  If y = -7 1/2, then, from the first equation, we get

4x - 2(-7 1/2) = -13, or

4x + 15 = -13, or

4x = -28, or x = -7

The solution is (-7, -7 1/2).

Answer:

x=14

Step-by-step explanation:

4x + 12 plus 5 equals 73 combine like terms 12 + 5 = 17 4x+17 = 73 -17 from both sides 4x=56 divide 4 by both sides

Answer:

x = 14

Step-by-step explanation:

When you read this equation you gotta remember a few things, chill- you got this, work from left to right, and start with the parenthesis.

So out of those things I mentioned, I am pretty chill right now so let's get going! Work from left to right. Distributing the parenthesis.

\(4(x +3) + 5 = 73\\4x + 12 + 5 = 73\)

Also keep in mind what you do to one side ya do to the other.

\(4x + 12 + 5 = 73\\4x + 17 = 73\\\)

Subtract 17 from both sides.

\(4x = 56\\\\\frac{4x}{4} = x\\ \\\frac{56}{4} = 14\)

x= 14

Sorry that was long but hopefully, it helped. Have a great day!

Answer:Y = Co + C*x.22.45 = Co + C*200,Co = 22.45 - 200C.29.65 = Co + C*350.Co = 29.65 - 350C. = 22.45 - 200C150C = 7.20, C = 0.048/min.Co = 22.45 - 200*0.048 = $12.85/mo. = Initial cost.Y = 0.048x + 12.85.2. Y = 0.048*110 + 12.85 = $18.13.3. 34.10 = 0.048x + 12.85, X = ?.

Step-by-step explanation: