B=45°45', a=45
right angleABC

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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Answer:

3/5

Step-by-step explanation:

scale factor of ab to A'B'

AB:A'B'

5 : 3

in fraction the scale

factor is 3

—

5

heance a reduction.

hope it helps thank me later

#galadohannadivine29

#carry on learning

Answer: 2,3,4

Step-by-step explanation:  Which means that the first number is 2, the second number is 2 + 1 and the third number is 2 + 2. Therefore, three consecutive integers that add up to 9 are 2, 3, and 4.

Answer:

2.1400

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

The total surface area of this box is 42 square ft.

Option B is the correct answer.

We have,

The total surface area of the box is the sum of the areas of its six sides.

The area of the bottom and top are both 3.2 ft x 2.1 ft

= 6.72 sq ft.

The area of the front and back are both 3.2 ft x 2.7 ft

= 8.64 sq ft.

The area of the two sides is both 2.1 ft x 2.7 ft

= 5.67 sq ft.

The total surface area.

= 2(6.72) + 2(8.64) + 2(5.67)

= 13.44 + 17.28 + 11.34

= 42.06 sq ft (rounded to two decimal places)

Therefore,

The total surface area of this box is 42 square ft.

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The population parameter will always be between lower and upper bounds of the confidence interval. - True, whereas sample statistic will always be between lower and upper bounds of the confidence interval - False

With a certain degree of certainty, the population parameter is anticipated to lie between the lower and higher limits of the confidence interval. The confidence interval, which gives an interval estimate of the unidentified population parameter, is created based on the sample data. The interval's level of confidence shows the amount of ambiguity we are prepared to accept when determining the actual population parameter.

The confidence interval's lower and upper limits may or may not be met by the sample statistic used to compute them. A single point estimate, the sample figure is susceptible to sampling error. On the other hand, based on the observed sample data and the selected degree of confidence, the confidence interval is a range of values that we can be fairly confident includes the true population parameter.

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Answer:

yes

Step-by-step explanation:

Answer: 28

Step-by-step explanation:

Because BD ⊥ AC we can conclude that AB is equal to CB so we can set them equal to each other in an equation.

7x = 5x + 8

2x = 8

x = 4

Because X is 4 we can fill it into CB's expression.

5(4) + 8

20 + 8

28

Answer:

3.25

Step-by-step explanation:

divide then add 3

Answer:

3 1/4 or 13/4

Step-by-step explanation:

To find first-order linear differential equations solution, we have to derive the general form or representation of the solution.

With the help of the steps shown below, we can learn how to solve the first-order differential equation.

1. Reorder the terms in the given equation so that they have the form \($\frac{dy}{dx}+Py=Q\) where P and Q are constants or functions of the independent variable x only.

2. Integrate P (obtained in step 1) with respect to x and then put this integral as a power of e to determine the integrating factor.

\($e^{\int P d x}\) = IF

3. The linear first-order differential equation's two sides should be multiplied by the IF.

4. The L.H.S of the equation is always a derivative of \($y \times M(x)$\) i.e. L.H.S \($= \frac{d(y \times I . F)}{dx}\)

\($d(y \times I . F) d x=Q \times I . F$\)

5. In order to arrive at the solution, we simply integrate both sides with respect to x in the last step.

Therefore \(y \times I . F=\int Q \times I . F d x+C$,\)

where C is some arbitrary constant

Similarly, we can also solve the other form of linear first-order differential equation \($\frac{dy}{dx}+Py=Q\) using the same steps.

P and Q are y's functions in this manner. We determine the solution, which will be, by using the integrating factor (I.F), which is

\($(x) \times(I . F)=\int Q \times I . F d y+c$\)

Now, to get a better insight into the linear differential equation, let us try solving some questions. where C is some arbitrary constant.

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The answer to the different parts is 32/81, (x+4) ^4/81 - 1,0.5299, -0.41 and 32.

(a) For this function to be a probability density function, it must satisfy the following conditions:

It must be non-negative for all values of x.

The area under the curve must be equal to 1 over the entire range of x.

Thus, we have:

∫f(x)dx = ∫c(x+4)^3dx = 1

Applying integration by substitution, let u = x+4, so that du/dx = 1 and dx = du. Then:

∫c(x+4)^3dx = c∫u^3du = c(u^4/4) = c(x+4)^4/4

Setting this equal to 1 and solving for c, we get

c(x+4)^4/4 ∣∣ 0 to infinity = 1

Substituting infinity, we get:

c(infinity) = 0, so we must use a limit to evaluate the integral at infinity. Let L be a large number, then:

c∫0 to L (x+4)^3dx = c[(L+4)^4/4 - 4^4/4] → cL^4 as L approaches infinity.

Thus, we have:

cL^4 = 4/[(L+4)^4 - 4^4]

Taking the limit as L approaches infinity, we get:

c = 32/81.

Therefore, c = 32/81 makes this a legitimate probability density function.

(b) The cumulative distribution function (c.d.f.) of X is given by:

F(x) = ∫f(t)dt from 0 to x

   = ∫32/81(t+4)^3dt from 0 to x

   = 32/81 [(x+4)^4/4 - 4^4/4]

   = (x+4)^4/81 - 1

(c) To find the probability that the time to failure is between 2 and 5 years, we evaluate the c.d.f. at x = 5 and x = 2, and take the difference:

P(2 ≤ X ≤ 5) = F(5) - F(2)

            = [(5+4)^4/81 - 1] - [(2+4)^4/81 - 1]

            = 4101/6561 - 625/6561

            = 3476/6561

            ≈ 0.5299

(d) To find the 60th percentile of the failure time, we need to find the value x such that F(x) = 0.6. Solving for x in the equation F(x) = (x+4)^4/81 - 1 = 0.6, we get:

(x+4)^4/81 = 1.6

Taking the fourth root of both sides, we get:

x+4 = 3.59

x = -0.41

Since the time to failure cannot be negative, we must interpret the 60th percentile as being 3.59 - 4 = -0.41 years from now, i.e., it has already failed with 60% probability.

(e) The expected value of X is given by:

E[X] = ∫xf(x)dx from 0 to infinity

   = ∫32/81(x+4)^4dx from 0 to infinity

   = 32

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Answer:

75°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

let x be the sixth angle, then sum and equate to 720°

150 + 100 + 80 + 165 + 150 + x = 720

645 + x = 720 ( subtract 645 from both sides )

x = 75

The sixth interior angle is 75°

63 × 26 + 9 × 563 = 6,705 answer is 6,705

The equation in slope-intercept form is: y = (-3/4)x + 8

The height of the candle after 4 hours is: 5 inches.

Let's use the equation of a line in slope-intercept form, which is:

y = mx + b

Where y is the dependent variable (in this case, the height of the candle), x is the independent variable (in this case, the time), m is the slope (in this case, the rate of burning), and b is the y-intercept (in this case, the initial height of the candle).

We know that the candle is initially 8 inches tall, so b = 8. We also know that the rate of burning is 3/4 inches per hour, so m = -3/4 (negative because the candle is getting shorter).

Substituting these values into the equation, we get:

y = (-3/4)x + 8

To find the height of the candle after 4 hours, we simply plug in x = 4 and solve for y:

y = (-3/4)(4) + 8

y = -3 + 8

y = 5

Therefore, the height of the candle after 4 hours is 5 inches.

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Answer:

Wrong dude.

Step-by-step explanation:

1/4 + 50 = 50.25

(Is this a satire question)?

Answer:

32.5

Brainiest plz

Answer:

median is 71.5

Step-by-step explanation:

arrange from smallest to greatest: 22 43 100 102

since there is no number in the middle will do the average of the two numbers that are in the middle (43+100)/2 = 71.5

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Triangle:

Procedure:

The interior angles of a triangle add up to 180°. As we know two angles, we can get the third as follows:

Isolating for m∠J

Replacing the values given:

Then using the trigonometric functions, we can get the sides.

Answer:

• m∠J, = 22°

• JL = 19.01

• KL = 7.99

Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: weight of a 24 square foot, 2 inch thick aluminum plate

Finding:

By unitary method, we get:

Weight of 1 square foot aluminum plate = 15 lbs.

Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.

Again, by unitary method, we get:

Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.

Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.

Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.

Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.

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The expression which is equivalent to the required expression (p - q)(x) is; Choice C; (x²-1)-5(x - 1).

It follows from the task content that the premise functions as given in the task content are;

p(x) = x² - 1

g(x)= 5(x-1).

Consequently, the required expression for the function operations; (p - q)(x) is simply;

p(x) - q(x) and is equivalent to;

(x² - 1) - 5(x - 1)

Therefore, the expression which is equivalent to the required expression (p - q)(x) is Choice C; (x²-1)-5(x - 1).

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The value of k could be 48, 49, 50, 51, or 52, as these all result in the fractions being in lowest terms.

To further explain, let's look at each of the possible values of k and see how they result in the fractions being in lowest terms:

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Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I'm lazy to type a paragraph and learned this a while ago, but if my memory is correct its C

The matrix A that represents the set W, consisting of vectors of the form [r, s, t] with real numbers, is constructed by organizing the coefficients of r, s, and t as the columns of A. The resulting matrix A is given by A = [0 0 2 48; s 2 1 0; 0 -5 1 0; 0 0 0 1]

Let's break down the construction of matrix A step by step.

Given that W is the set of all vectors of the form [r, s, t] where r, s, and t are real numbers, we want to find a matrix A such that the column space of A (Col(A)) represents W.

The matrix A will have as its columns the coefficients of r, s, and t in the given expression.

Column 1 of A: Coefficients of r

In the expression, we have 5sr + 3t, so the coefficient of r is s. Therefore, the first column of A will be [0, s, 0, 0] since there is no r term in the expression.

Column 2 of A: Coefficients of s and t

In the expression, we have 2sr - 5t. The coefficient of s is 2, and the coefficient of t is -5. Therefore, the second column of A will be [0, 2, -5, 0] with the corresponding coefficients.

Column 3 of A: Coefficients of r, s, and t

In the expression, we have 2r + s + t. The coefficients of r, s, and t are 2, 1, and 1, respectively. Therefore, the third column of A will be [2, 1, 1, 0] with the corresponding coefficients.

Column 4 of A: Coefficients of r and t

In the expression, we have 48r + t. The coefficient of r is 48, and the coefficient of t is 1. Therefore, the fourth column of A will be [48, 0, 0, 1] with the corresponding coefficients.

Putting it all together, the matrix A that represents W = Col(A) is:

A = [ 0 0 2 48 ]

[ s 2 1 0 ]

[ 0 -5 1 0 ]

[ 0 0 0 1 ]

Each column of A corresponds to the coefficients of r, s, and t in the given expression, forming the column space that represents the set W.

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Answer:

it will be worth 880 dollars in 8 years, it will be worth nothing in 14 years

Step-by-step explanation:

Answer:

s=6 years

m=48 years

Step-by-step explanation:

Let

Mother's age=m

Son's age=s

m=8*s

m=8s (1)

m+6=9/2(s+6)

m+6=9/2s+27 (2)

Substitute (1) into (2)

m+6=9/2(s)+27

8s+6=9/2s+27

8s+6-9/2s-27=0

8s-9/2s-21=0

(16-9/2)s-21=0

7/2s=21

s=21÷7/2

=21×2/7

=42/7

s=6

Present age of the son=6

m=8s

=8(6)

m=48

Present age of the mother=48

After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.

To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.

So the equivalent expression after combining like terms is:

(-1.9 + 1.2) + (5.1 - 3.6)t

Simplifying further, we get:

-0.7 + 1.5t

A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.

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Complete Question

Combine like terms to create an equivalent expression. −

3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.

Since the zeroes are 1/3 which has multiplicity 2, -4 and i, then

The factors of the polynomial are

Multiply the 3 factors

Multiply The first 2 brackets

Add the like terms in the 1st bracket

Multiply the 2 brackets

Add the like terms

Since the leading coefficient is 63, multiply all terms by 7

Answer:

To solve this expression, we can use the order of operations, which tells us to perform the operations inside the parentheses first, and then multiply by -2.

So, we have:

(12 + 13) (-2)

= (25) (-2) // simplify the parentheses by adding 12 and 13

= -50 // multiply 25 by -2

Therefore, (12+13)(-2) equals -50.