Calculate the area of this triangle.
17 cm
8 cm
15 cm-
Area - Triangles
Overview

There are several ways to represent a linear function, including word form, function notation, tabular form, and graphical form.

What is linear function?

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Answer:

If it were asking if Salty was able to go on the elevator the answer is no.

Step-by-step explanation:

The optimal solution for the given linear programming model is:

max z = 38

when x1 = 5, x2 = 10, x3 = 0

To solve the given linear programming model using the simplex algorithm, we start by converting the inequalities into equations and introducing slack variables. The initial tableau is constructed with the coefficients of the decision variables and the right-hand side constants.

Next, we apply the simplex algorithm to iteratively improve the solution. By performing pivot operations, we move towards the optimal solution. In each iteration, we select the pivot column based on the most negative coefficient in the objective row and the pivot row based on the minimum ratio test.

After several iterations, we reach the optimal tableau, where all the coefficients in the objective row are non-negative. The optimal solution is obtained by reading the values of the decision variables from the tableau.

In this case, the optimal solution is z = 38 when x1 = 5, x2 = 10, and x3 = 0. This means that to maximize the objective function, the decision variables x1 and x2 should be set to 5 and 10 respectively, while x3 is set to 0.

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Answer:

your answer is -6.1111111111111

Answer:0.6

Step-by-step explanation: because i got it correct

The value of a, b, c or k that make the function continuous everywhere are:

To make the given functions continuous everywhere, ensure that the different parts of the function agree at their boundaries.

For f(x) = kx², x ≤ 3; 4x - 11, x > 3:

To make the function continuous at x = 3, two parts of the function to agree at x = 3.

Setting them equal and solving for k:

k(3)² = 4(3) - 11

9k = 12 - 11

9k = 1

k = 1/9

Therefore, the value of k that makes the function continuous everywhere is k = 1/9.

For g(x) = cx², x < 1; 4, x = 1; -x³ + kx, x > 1:

To make the function continuous at x = 1, two parts of the function to agree at x = 1.

Setting them equal and solving for c:

c(1)² = -1³ + k(1)

c = -1 + k

Therefore, the value of c that makes the function continuous everywhere is c = -1 + k.

For h(x) = π, x < 0; x² + ax + b, 0 ≤ x ≤ 1; 6x + 5, x > 1:

To make the function continuous at x = 0 and x = 1, three parts of the function to agree at their boundaries.

Setting the two boundaries equal and solving for a and b:

0² + a(0) + b = π

b = π

1² + a(1) + b = 6(1) + 5

1 + a + π = 6 + 5

a = 10 - π

Therefore, the values of a and b that make the function continuous everywhere are a = 10 - π and b = π.

For f(x) = x², x < 1; sin(bx), x ≥ 1:

To make the function continuous at x = 1, two parts of the function to agree at x = 1.

Setting them equal and solving for b:

1² = sin(b(1))

1 = sin(b)

Therefore, the value of b that makes the function continuous everywhere is b = π/2.

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Answer:

ASA

Step-by-step explanation:

2 congruent angles and 1 congruent side are given

hopefully this helps :)

Answer:

ASA

Step-by-step explanation:

hope this helps you :)

Answer:

your answer is A. 92.4

Step-by-step explanation:

Diagonal Length = v(92.4² + 50²)

V(8537.76 + 2500)

V(1037:76)

Diagonal Length 105

Answer:

92.3ft

Step-by-step explanation:

Let the con=rners be A,B,C and d

so AC=105 ft and AB=50ft

using Pythagoras theroem: h^2=b^+p^2

105^2=50^2 + p^2

P^2= 11025-2500

p= √8525

p=92.33

Since AD is the angle bisector of <BAC, then BD is 1.9 inches.

An angle bisector is a line that divides a given angle into two equal measure after its construction.

Given that AD is the angle bisector of <BAC, then we have;

From triangle ADC, applying the Pythagorean theorem;

/Hyp/^2 = /Adj/^2 + /Opp/^2

4^2 = 3^2 + AD^2

16 = 9 + AD^2

AD^2 = 16 - 9

         = 7

AD = 7^1/2

     = 2.64

AD = 2.6

So that, from triangle ABD we have;

/Hyp/^2 = /Adj/^2 + /Opp/^2

3.2^2 = 2.6^2 + BD^2

10.24 = 6.76 + BD^2

BD^2 = 10.24 - 6.76

         = 3.48

BD = 3.48^1/2

     = 1.8655

BD = 1.9 inches

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The probability of selecting all bottles of the same variety is P(A) = 6/46656 = 0.00013.

The probability of selecting two bottles of each variety when randomly selecting 6 bottles can be calculated using the formula P(A) = n(A) / n(S), where n(A) is the number of possible ways to select two bottles of each variety and n(S) is the total number of possible ways to select 6 bottles. In this case, n(A) is equal to 6! / (2!2!2!) = 90 and n(S) is equal to 6^6 = 46656. So, the probability of selecting two bottles of each variety is P(A) = 90/46656 = 0.0019.

The probability of selecting all bottles of the same variety when randomly selecting 6 bottles can be calculated using the same formula. In this case, n(A) is equal to 6, which is the number of ways to select 6 bottles of the same variety, and n(S) is equal to 46656. So, the probability of selecting all bottles of the same variety is P(A) = 6/46656 = 0.00013.

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Answer:

x= -6

Step-by-step explanation:

There are 8,519,680 hexadecimal numbers. The result is obtained by using the multiplication principle.

Hexadecimal number system is a numbering system with the base of 16. The 16-digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. They are usually denoted by the subscript 16. For example, 429AD₍₁₆₎.

How many combination of hexadecimal numbers that can be made if:

Let's broke the problem into 3 cases.

Using the multiplication principle, we can multiply them all.

The combination of hexadecimal numbers is

= 10 × 13 × 16³

= 8,519,680

Hence, the combination that can be made is 8,519,680 hexadecimal numbers.

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The diameter XY divides the circle into equal segments

It is true that point N is the midpoint of TU

Given that:

The diameter of the circle is line XY

RS || TU

The statement RS || TU means that lines RS and lines TU are parallel lines.

Also from the question, we have:

XY bisects RS at M

This means that:

\(RS \sim TU\) --- line RS and TU are similar lines

Express as ratio

\(RM : MS \sim TN : NU\)

Point M is the midpoint of line RS, because the line XY passes through point M on line RS.

By comparing the points on the statement \(RM : MS \sim TN : NU\)

Point M corresponds to point N, point R corresponds to point T and point S corresponds to point U

This means that:

Point N is the midpoint of TU

Hence, it is true that point N is the midpoint of TU

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For the binomial distribution, √npq formula finds the standard deviation.

See the image below for the complete solution to the question:

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To find the critical value for a left-tailed test with a significance level of 0.10 using the z table, we need to locate the z-score that corresponds to an area of 0.10 in the left tail of the standard normal distribution.

The standard normal distribution is a bell-shaped curve with a mean of 0 and a standard deviation of 1. The z table provides the cumulative probability values for different z-scores.

Since we are conducting a left-tailed test, we are interested in finding the z-score that represents the critical value. This z-score will have an area of 0.10 to the left of it.

Using the z table, we look for the closest value to 0.10 in the body of the table. The closest value is typically found in the leftmost column (corresponding to the tenths digit) and the top row (corresponding to the hundredths digit).

In this case, the closest value to 0.10 in the z table is 1.28. This means that the critical value for the left-tailed test with a significance level of 0.10 is -1.28 (negative because it is in the left tail).

Therefore, the critical value for the left-tailed test with a = 0.10 is -1.28.

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Answer:

12

Step-by-step explanation:

Hello!

First of all you have to understand the order of operations.

PEMDAS

Parenthesis, Exponent, Multiplication/Divison, Addition, Subtraction.

From this you can see that we first have to deal with the exponent, then multiplication, then the addition.

So we get 2+9-(-1)

The 9 is from -3^2

2+9+1

11+1

12.

Hope this helps!

Answer:

Bike 1

Step-by-step explanation:

If you look at the graph, you'll see that Bike 1 went 9 feet but Bike 2 is at about 7.5 feet in 6 seconds.

The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

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The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

The price of the share 3 years later, given the increase in value can be found to be $ 43. 29

The value of the Southside stock sold was $ 37 in the current age. Three years later, this value had increased by 17 %.

This means that the price of the share 3 years later would be:

= Share price currently x ( 1 + increase in value)

= 37 x ( 1 + 17 % )

= 37 x 1. 17

= $ 43. 29

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Answer:

-1/2 is the answer i think

Answer:

Step-by-step explanation:

\( \csc(a) = \frac{1}{ \sin(a) } \\ \sin(a) = \frac{15}{25} \\ \\ \csc(a) = \frac{1}{ \frac{15}{25} } \\ \\ \csc(a) = \frac{25}{15} \)

So no one of the above

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

Answer:

I can't see the fine details of the image displaying the weights of the bags but I would assume the heaviest bag is 2(3/4) pounds, being Bag C. The lightest bag is most likely Bag B, being 2(3/8) pounds.

Answer:

I can't read the fraction for B

but 2 3/4 is bigger than 2 1/2

\(a = \pi \times {r}^{2} \\ a = 3 \times {r}^{2} \)

Hey, welcome to Brainly! You need to attach a picture, for users to give you an answer (or give us the radius of the circle.) If you have the radius of the circle, multiply 3 by the radius square (πr^2)

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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The Integral Test can be used to determine the convergence of a series by comparing it to the convergence of an integral. For the given series Σke^(-6k²), the conditions of the Integral Test are satisfied, indicating that the series converges.

1. To apply the Integral Test, we need to check if the function f(x) = xe^(-6x²) satisfies the conditions of the test.

2. Condition A: The function f(x) is positive for x ≥ 1. Since x is greater than or equal to 1, the term xe^(-6x²) is positive.

3. Condition B: The function f(x) is continuous for x ≥ 1. The function f(x) = xe^(-6x²) is a product of two continuous functions, x and e^(-6x²), and therefore it is continuous for x ≥ 1.

4. Condition C: The function f(x) is an increasing function for x ≥ 1. To determine if f(x) is increasing, we can take the derivative: f'(x) = e^(-6x²) - 12x²e^(-6x²). For x ≥ 1, the derivative is positive, indicating that f(x) is increasing.

5. Condition D: The function f(x) is a decreasing function for x ≥ 1. The derivative f'(x) = e^(-6x²) - 12x²e^(-6x²) is positive for x ≥ 1, so f(x) is not decreasing.

6. Condition E: The function f(x) is negative for x ≥ 1. Since the function is positive (as shown in Condition A), it is not negative.

7. Condition F: The function f(x) has the property that a = f(k) for k = 1, 2, 3, .... Here, a = f(k) = ke^(-6k²), which matches the terms of the series Σke^(-6k²).

8. Since all the conditions of the Integral Test are satisfied, we can conclude that the given series Σke^(-6k²) converges.

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