Find the measure of 1 in the​ figure, shown to the right.

Answer:

4ac

Step-by-step explanation:

Assuming you're referring to the equation \(ax^2+bx+c=0\).

Since the discriminant \(D=b^2-4ac\) has to be equal to 0 in order for there to be exactly one real solution, then we have the following:

\(0=b^2-4ac\\b^2=4ac\)

Therefore, b² needs to be the same value as 4ac.

Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Answer:

625 meters

Step-by-step explanation:

25 multiplied by 50 equals 1250 divided by 2 is 625 meters.

Answer:

69×420=28980

just use calculator

Step-by-step explanation:

i hope this will help you :)

Answer:

28,980

Step-by-step explanation:

Answer: (d)- 1.76 kg

Step-by-step explanation:

Given

The first laptop mass was 11 kg

The rate of mass decreases by 4.7% per year

In 1982, it was

\(\Rightarrow 11-11\times 4.7\%=11-11\times 0.047\\\Rightarrow 11(1-0.047)\ kg\)

In 1983, it was

\(\Rightarrow 11(1-0.047)-11(1-0.047)\times 0.047=11(1-0.047)^2\)

In 2019 i.e. after 38 years, it is

\(\Rightarrow 11(1-0.047)^38=11\times 0.953^{38}=1.76\ kg\)

Answer:

the answer would be c I did this one yesterday

Answer

Option D is the pair of functions which is not a pair of inverse function.

Explanation

First of, the inverse of a function is a function that reverses the actions of the function. That is, for the inverse function, if we are given f(x), we would be able to obtain x.

The step to finding a function's inverse is to write y instead of f(x). We then rewrite by replacing the y by x and then make y the subject of formula, the y which is a subject of formula now, represents the inverse function, f⁻¹(x).

For each of them, we can get the other one from it.

f(x) = (x + 1)/6

y = (x + 1)/6

x = (y + 1)/6

Cross multiply

6x = y + 1

y = 6x - 1

g(x) = 6x - 1

f(x) = (x - 4)/19

y = (x - 4)/19

x = (y - 4)/19

19x = y - 4

y = 19x + 4

g(x) = 19x + 4

f(x) = x⁵

y = x⁵

x = y⁵

y = 5√x

g(x) = 5√x

Only option D doesn't give the inverse of the other function.

Hope this Helps!!!

All of the conditions for inference are met, so it is appropriate to construct a 99% confidence interval for the true proportion of all magazine subscribers who do not read the magazine they subscribe to.

Random sample: The sample of 100 magazine subscribers was selected randomly, so this condition is met.

10% condition: The sample size is 100, which is less than 10% of the population of all magazine subscribers, so this condition is met.

Large counts condition: To check the large counts condition, we need to calculate the expected number of subscribers who do not read the magazine they subscribe to, which is n × p = 100 × 0.38 = 38. Since this number is greater than 5, the large counts condition is met.

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Answer:

Random condition:

✔ met

10% condition:

✔ met

Large counts condition:

✔ met

Are the conditions for inference met?

✔ yes

The 31st term of this arithmetic sequence is equal to 97.

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

aₙ = 7 + 3(n - 1)

a₃₁ = 7 + 3(31 - 1)

a₃₁ = 7 + 3(30)

a₃₁ = 7 + 90

a₃₁ = 97.

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Complete Question:

For an arithmetic sequence aₙ = 7 + 3(n - 1), what is the 31st term?

Answer:

y - 283 = 48

Step-by-step explanation:

y decreased by 283 means that 283 is subtracted from y. All set equal to 48.

the domain is 0...............

Therefore, the image is formed at a distance of approximately 46.03 cm behind the mirror, and its height is approximately 2.98 cm.

We'll use the mirror formula and magnification to find the height of the image produced by the convex mirror.
1/f = 1/do + 1/di
do = object distance = 17 cm
f = focal length = -59 cm
Now, let's solve for the image distance (di):
1/-59 = 1/17 + 1/di
1/di = 1/-59 - 1/17
1/di ≈ -0.0217
di ≈ -46.03 cm
The magnification (M) is given by:
M = -di/do
M ≈ 46.03/17
M ≈ 2.71
Now, let's find the height of the image (hi):
hi = M * object height
hi = 2.71 * 1.1
hi ≈ 2.98 cm

Therefore, the image is formed at a distance of approximately 46.03 cm behind the mirror, and its height is approximately 2.98 cm.

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The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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Answer:2/8, 0.3215, 9/16, 0.75

Step-by-step explanation:

2/8 = 0.25  0.3215 is higher then 9/16 =0.5625 next is 0.75

Answer:

I got 30

Step-by-step explanation:

6 quarts that means 3 is water 3 is alcohol

When you add in a gallon you get 4 more quarts of water right?

That would be 7 quarts of water and 3 quarts of alcohol

7+3=10 3/10 to x/100 x= 30%hope this is correct and hope it helps :)

The given expression is evaluated by integrating the function, and then checking its correctness by differentiating the result. The derivative of (8/3)x³ln(x) - (8/9)x³ is indeed equal to 8x²ln(x). Therefore, the evaluation and differentiation of the given expression confirm its correctness.

The integral to be evaluated is ∫8x²ln(x) dx. To integrate this expression, we can use integration by parts. Let's use the mnemonic device "LIATE" to determine the parts of the function:

L: Choose ln(x) as the first function

I: Choose 8x² as the second function

A: Take the derivative of ln(x) which is 1/x

T: Take the integral of 8x² which is (8/3)x³

E: Evaluate the integral of the remaining part

Applying integration by parts, we have:

∫8x²ln(x) dx = (8/3)x³ln(x) - ∫(8/3)x³(1/x) dx

Simplifying further:

∫8x²ln(x) dx = (8/3)x³ln(x) - (8/3)∫x² dx

∫8x²ln(x) dx = (8/3)x³ln(x) - (8/3)(1/3)x³ + C

∫8x²ln(x) dx = (8/3)x³ln(x) - (8/9)x³ + C

To verify the correctness of the result, we can differentiate the obtained expression with respect to x. The derivative of (8/3)x³ln(x) - (8/9)x³ is indeed equal to 8x²ln(x).

Therefore, the evaluation and differentiation of the given expression confirm its correctness.

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The value of given differential equation \(y' = y - x\) with the initial condition \(y(0) = 1.5\), on the interval \(0 \leq x \leq 1.5\), is \(y(1.5) = y_4 = 5.4296875\).

The differential equation we are given is \(y' = y - x\), with the initial condition \(y(0) = 1.5\). We are asked to approximate the solution on the interval \(0 \leq x \leq 1.5\) with a step size of \(h = 0.5\), and we want to achieve an accuracy of \(e = 0.0001\).

We start by calculating the first two values, \(y_0\) and \(y_1\), using the formula:

\(y_1 = y_0 + h \cdot f(x_0, y_0)\)

Here, \(h\) represents the step size, \(f(x, y)\) represents the derivative \(y'\) in terms of \(x\) and \(y\), and \((x_0, y_0)\) is the initial condition.

Using the given values, we can calculate \(y_1\) as:

\(y_1 = 1.5 + 0.5 \cdot (1.5 - 0) = 2.25\)

Next, we calculate \(y_2\) using the same formula:

\(y_2 = y_1 + h \cdot f(x_1, y_1)\)

Substituting the values \(x_1 = 0.5\) and \(y_1 = 2.25\), we get:

\(y_2 = 2.25 + 0.5 \cdot (2.25 - 0.5) = 3.375\)

Similarly, we can calculate \(y_3\) and \(y_4\) as:

\(y_3 = 3.375 + 0.5 \cdot (3.375 - 1) = 4.3125\)

\(y_4 = 4.3125 + 0.5 \cdot (4.3125 - 1.5) = 5.4296875\)

So, the value of \(y\) at \(x = 1.5\) is \(y(1.5) = y_4 = 5.4296875\).

Using Euler's method with a step size of \(h = 0.5\) and an accuracy of \(e = 0.0001\), the solution to the given differential equation \(y' = y - x\) with the initial condition \(y(0) = 1.5\), on the interval \(0 \leq x \leq 1.5\), is \(y(1.5) = y_4 = 5.4296875\).

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Answer:

Graph 4

Step-by-step explanation:

The graph of f(x) = x^3 includes point (0, 0) since f(0) = 0^3 = 0.

The exponent of x is 3. This is not a linear function.

Negative values of x cubed are negative, and positive values of x cubed are positive.

For x < 0, f(x) < 0, and for x > 0, f(x) > 0.

Answer: Graph 4.

Answer:

Step-by-step explanation:

9.3 times 7 equals 65.1

65.1 time the 5 sides equals 325.5

325.5 plus the 84 for the base equals 409.5 ft^2

Answer: x= 96 degrees

Step-by-step explanation:

It we figure out the rest of the angles they would be (the outside ans inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444 96 degrees

The measure of an angle x will be equal to 96°.

A Pentagon is a two-dimensional geometric shape that consists of five straight sides and five angles. It is a type of polygon, which is a closed shape with three or more sides.

The Pentagon is often used to represent the shape of buildings, monuments, and symbols in architecture and design.

If we figure out the rest of the angles they would be (the outside and inside angles are straight angles):

123+153+49+119= 444

Since the total of angles in a pentagon = 540 degrees

540-444= 96°

Therefore, the measure of an angle x will be equal to 96°.

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The equation of the line in standard form is 2x + 4y = 18.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

The equation of a line in standard form is,

Ax + By = C, where A, B and C are integers.

The equation given is,

(2/3)x + (4/3)y = 6

We need the coefficients to be integers.

Multiply throughout the equation by 3.

2x + 4y = 18, which is the standard form.

Hence 2x + 4y = 18 is the standard form.

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Answer:

The equation should be

n is used to represent a number.

1/3 is in fraction form

It also says 6 less than 1/2 of a number, so -6 should be after 1/3n. The operation happening between 1/3 and n is multiplication

Your final equation: 5=1/3n-6

Answer:

n = 33

Step-by-step explanation:

\(5=\frac{1}{3} n-6\) ..... (1)

(1) × 3

15 = n - 18 ⇒ n = 33

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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if we choose a number, let's call it x, and we perform this operations we would get a fixed number, that we are yet to calculate.

But doing that way would be doing by deductive reasoning.

The inductive reasoning way would be to arrive at this conclusion after picking a random number, for example, twice.

If we pick, for example, the number 1.

Add 16, we get 17.

Multiply by 3, we get 51.

Add 2, we get 53.

Substract twice the original number, we get 51.

Substract 50, the result is 1.

If we pick the number 2,

Add 16, we get 18.

Multiply by 3, we get 54.

Add 2, we get 56.

Substract twice the original number, we get 52.

Substract 50, we get 2.

We can induce, by the results we are having, that the result is equal to the number we pick in the first place.

To answer your question, let's consider the set U = {2, 4, 5, 6, 7, 3, 5}, and let W be the set of all x in R³ such that U * x = 0. The theorem in Chapter 4 that can be used to show that W is a subspace of R³ is the "Subspace Theorem."

The Subspace Theorem states that a subset W of a vector space V is a subspace if it satisfies the following three conditions:
1. The zero vector of V is in W.
2. If u and v are in W, then their sum (u+v) is in W.
3. If u is in W and c is a scalar, then the product (cu) is in W.

To describe W in geometric language, W would be a plane or a line that passes through the origin in R³, which is orthogonal (perpendicular) to the given vector U. This is because all the vectors x in W have a dot product of 0 with U, indicating that they are orthogonal to U.

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Answer: The perimeter is about 20.26 units

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

where,

d = distance

\(x_2\text{ and }x_1\) are the coordinates of the points on x-axis

\(y_2\text{ and }y_1\) are the coordinates of the points on y-axis

For the given points:

B(0,3), C(4,-1), E(2,-3) and F(-2,1)

\(x_2=4\\x_1=0\\y_2=-1\\y_1=3\)

Putting values in above equation, we get:

\(BC=\sqrt{(4-(0))^2+(-1-3)^2}\\\\d=\sqrt{16+16}=5.66units\)

\(x_2=2\\x_1=4\\y_2=-3\\y_1=-1\)

Putting values in above equation, we get:

\(CE=\sqrt{(2-(4))^2+(-3-(-1))^2}\\\\d=\sqrt{36+4}=4.47units\)

To calculate the perimeter of a rectangle, we use the equation:

\(Perimeter=2(l+b)\) ....(1)

where,

l = length of the rectangle = BC = 5.66 units

b = breadth of the rectangle = CE = 4.47 units

Putting values in equation 1, we get:

\(Perimeter=2(5.66+4.47)\\\\Perimeter=20.26 units\)

Hence, the perimeter is about 20.26 units

The solutions are: x ≈ -1.52 and x ≈ -0.66.

Using the given functions, we have:

g(x) + h(x) = x + 4 + 8x² + 38x + 24 = 8x² + 39x + 28

h(x) - g(x) = (8x² + 38x + 24) - (x + 4) = 8x² + 37x + 20

f(x) * h(x) = 9x * (8x² + 38x + 24) = 72x³ + 342x² + 216x

(h(x) / g(x)) = [(8x² + 38x + 24) / (x + 4)] = [(2x + 6)(4x + 6) / (x + 4)] = (2x + 6)(4x + 6) / (2)

Simplifying further: (2x + 6)(4x + 6) / (2) = 2(2x + 3)(2x + 3)

To find the common factors of h(x) and g(x), we need to factor h(x) first:

h(x) = 8x² + 38x + 24 = 2(4x² + 19x + 12) = 2(4x+3)(x+4)

Now we can see that the common factor between h(x) and g(x) is (x+4), so:

h(x) / (x+4) = 2(4x+3)

g(x) / (x+4) = (x+4)/(x+4) = 1

The domain restriction for f(x) is not given, so we assume it to be all real numbers. However, we note that the domain of g(x) is also all real numbers while the domain of h(x) is also all real numbers. Therefore, the only restriction on x is that x cannot be -4 since this would result in a division by zero in the expressions for (h(x)/(x+4)) and (g(x)/(x+4)), which are undefined at x=-4.

To solve for x in the equation h(x) = g(x), we have:

8x² + 38x + 24 = x + 4

Simplifying and rearranging terms:

8x² + 37x + 20 = 0

Using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

x = (-37 ± sqrt(37² - 4(8)(20))) / 2(8)

x = (-37 ± sqrt(1133)) / 16

Therefore, the solutions are: x ≈ -1.52 and x ≈ -0.66.

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