Find the total surface area of this triangular prism.

Answer:

887.74

Step-by-step explanation:

Length of sides:

Surface Area:

(perimeter of base)(length) + (base)(height)

(8+10+6)(4)+(8)(6)

(24)(4)+48

96+48

144 ft²

Answer:

6/7 x 21 = 18

Answer:

the answer is 18 hope this helped :)))

the average speed of the aircraft is 496 miles per hour.

To find the average speed of the aircraft, we can use the formula:

Average Speed = Distance / Time

In this case, the distance is 620 miles and the time is 1.25 hours. Plugging these values into the formula, we get:

Average Speed = 620 miles / 1.25 hours

Calculating this, we find:

Average Speed = 496 miles per hour

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The new temperature would be 8 when the temperature is -4 and rises by 12.

Addition is a fundamental mathematical operation that is used to join two or more numbers or quantities. It entails calculating the sum of two or more values.

The sign "+" represents the procedure.

For example, adding 2 and 3 yields a total of 5, which is expressed as:

2 + 3 = 5

As per the question, If the temperature starts at -4 and rises by 12, we need to add 12 to the starting temperature to find the new temperature.

So, the new temperature would be:

-4 + 12 = 8

Therefore, the new temperature would be 8.

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Answer:

10 days

Step-by-step explanation:

So if he/she already has 50$ we are going minus that from 250 (250-50) then divide 200 by 20 and that equals to the total amount of 10 days

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

415.39 \(ft^{2}\)

Step-by-step explanation:

Answer:

\(y=\frac{5}{2}x-13\)

Step-by-step explanation:

Given the equation

\(y=-\frac{2}{5}x-1\)

comparing the equation with the slope-intercept form\(y=mx+b\)

Here,

so the slope of the line is m = -2/5

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line,

so  the slope of the perpendicular line will be: 5/2

Therefore, the point-slope form of the equation of the perpendicular line that goes through (2,-8) is:

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-8\right)=\frac{5}{2}\left(x-2\right)\)

\(y+8=\frac{5}{2}\left(x-2\right)\)

subtract 8 from both sides

\(y+8-8=\frac{5}{2}\left(x-2\right)-8\)

\(y=\frac{5}{2}x-13\)

Without any specific data about the student's GPA or the school's average, it is impossible to provide a numerical answer to this question.

However, in general, to calculate the number of standard deviations a student's GPA is away from the school's average, we would need to find the difference between the student's GPA and the school's average, and then divide that difference by the standard deviation of the GPA distribution for the entire school population. The resulting number would tell us how many standard deviations the student's GPA is away from the mean.

For example, if the school's average GPA is 3.0 and the standard deviation is 0.5, and a student has a GPA of 3.5, then the student is one standard deviation above the mean (since (3.5 - 3.0) / 0.5 = 1). On the other hand, if the same student had a GPA of 2.5, then they would be one standard deviation below the mean (since (2.5 - 3.0) / 0.5 = -1).

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Answer:

0.0061728395

Step-by-step explanation:

BOOM

Answer:

D. The slope is 2.  The y-intercept is (0,-4)

Step-by-step explanation:

\(slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\= \frac{4-(-4)}{4-0}\\= \frac{4+4}{4}\\= \frac{8}{4}\\= 2\)

y- intercept is where x equal to 0, according to the chart, y-int is (0,-4)

so the answer is D. The slope is 2.  The y-intercept is (0,-4)

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:

```c

#include <stdio.h>

// Function to calculate the binomial distribution probability

float binomial Distribution(int K, int n, float p) {

   int i;

   float result = 1.0;

   // Calculate the binomial coefficient (n k)

   for (i = 1; i <= K; i++) {

       result *= (n - i + 1);

       result /= i;

   }

   // Multiply by p^K and (1 - p)^(n - K)

   result *= pow(p, K) * pow(1 - p, n - K);

   return result;

}

int main() {

   int K, n;

   float p, probability;

   // Input values from the user

   printf("Enter k value: ");

   scanf("%d", &K);

   printf("Enter n value: ");

   scanf("%d", &n);

   printf("Enter p value: ");

   scanf("%f", &p);

   // Calculate the binomial distribution probability

   probability = binomialDistribution(K, n, p);

   // Print the result

   printf("The answer is %f\n", probability);

   return 0;

}

```

In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.

In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

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Problem N 7

Part A

Find out the measure of angle QRS

we have that

m by form a linear pair

m given

mmm

Part B

Find out the measure of angle Q

we have that

145=y+4y -----> by exterior angle theorem

solve for y

145=5y

y=29

Find out the measure of angle Q

mtherefore

Answer:

Infinitely many

Brainliest?

The probability that a student is a science major given that they are science student would be = 0.18.

To calculate the probability of the science major graduate student would need the use of the formula given below;

Probability = possible outcome/sample space

The possible outcome = 188

The sample space = 1073

The probability = 188/1073 = 0.18

Therefore, the probability that a student who is a graduate science student would be chosen at random would be = 0.18.

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Answer:

7, there is no slope so 7 is the y intercept

Step-by-step explanation:

The y-intercept is :

7

Work/explanation:

The given equation is in y = mx + b form, where m = slope and b = y intercept. This equation is called slope intercept form.

In our case, the equation is y = 7, which is the same thing as y = 0x + 7; this means that the slope is 0 and the y-intercept is 7.

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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Answer:

-3.48

Step-by-step explanation:

7.008 + (-3.6) + (-6.888) =

Subtract 3.6 from 7.008 = 3.408

3.408 -6.888

Subtract 6.888 from 3.408

6.888 - 3.408  and take the negative sign

-3.48

Answer:

7.008+(-3.6)+(-6.888) So. + and - is always -.We get this:

=7.008−3.6−6.888      (7.008-3.6=3.408)

=3.408−6.888

=−3.48

I hope this help you :)

Step-by-step explanation:

The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.

Let us consider 'x' be the salt solution of 16%

And 'y' be the salt solution with 25%

Total gallons of salt used is equal to 4 gallons

Required salt solution = 20%

Equation formed as per given information :

16% of x + 25% of 4 = 20% of ( 4 + x )

⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )

⇒ 0.16x + 1 = 0.8 + 0.20x  

⇒ 0.20x - 0.16x  =  1 - 0.8

⇒ 0.04x = 0.2

⇒ x  = 0.2 / 0.04

⇒ x =  20 / 4

⇒ x = 5 gallons

Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.

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Answer:

Irrational

\(\sqrt{3}\) = approx. 1.7

Step-by-step explanation:

The square root of 3 is irrational, because 3 is not a perfect square.

For example, 4 is a perfect square, so the square root (2) will be rational.

The square root of 3 is 1.73205080757,

and we can round this to 1.7 for the tenths place

Answer: $208.75

Step-by-step explanation:

8.25x5= 41.25    250-41.25= 208.75

Answer:

$8.25 x 5 days = $41.25

$250 - $41.25 = $208.75

Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.

Step-by-step explanation:

PLS mark as brainliest answer, please??

thanks

coordinatesThe functions involves

If we take a closer look at the functions we can see that

f(x) is a function of x to give a corresponding value of y

g(x) is also a function of x to also give a corresponding value of y also

Both functions meet at the cordinate

Both since both functions are a function of x we can therefore conclude that

Hence,

The correct answer is OPTION C

Answer:

m=-32

Step-by-step explanation:

Answer:

M=(-32)

Step-by-step explanation:

-(9m+12)=6(14-m)

-(9m+12)=84-6m

-9m-12=84-6m

-9m+6m-12=84

-3m-12=84

-3m-12+12=84+12

-3m=96

-3m÷(-3)=96÷(-3)

m=(-32)

Answer:

Apply the formula πr^2/2

Answer:

56.52

Step-by-step explanation:

The forst thing to do is find the area of the entire circle.

\( {r}^{2} \times 3.14\)

So add the radius to the equation.

\( {6}^{2} \times 3.14\)

Solve for the equation.

\(36 \times 3.14 \\ 113.04\)

Now that is the area of the entire circle, so all is needed is to divide that by 2.

\(113.04 \div 2 \\ 56.52\)

Now you have the area of the semicircle.

Answer:

\( - 10(n + 6) \\ - 10n + 60 \: \: \: answer\)

Step-by-step explanation:

please mark me brainliest

\(-4x^3y^6 + yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4})) / 3y^2 + 6x^4y^5 - c^{x^{5}}\)is the expression for dy/dx for the given equation.

To find dy/dx for the equation y³ + x⁴y⁶ = 5 + ycˣ^⁵, we'll use implicit differentiation. Let's go step by step:

Start by differentiating both sides of the equation with respect to x. d/dx(y³) + d/dx(x⁴y⁶) = d/dx(5) + d/dx(ycˣ^⁵)

Apply the chain rule to each term on the left side of the equation. 3y²(dy/dx) + (4x³y⁶ + 6x⁴y⁵(dy/dx))

= 0 + \((c^{x^{5}}(dy/dx) + yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4}))\)

Simplify the equation:

3y²(dy/dx) + 4x³y⁶ + 6x⁴y⁵(dy/dx) =\((c^{x^{5}}(dy/dx) + yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4}))\)

Group the terms containing dy/dx:

3y²(dy/dx) + 6x⁴y⁵(dy/dx) - \((c^{x^{5}}(dy/dx)\) = -4x³y⁶ + \(yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4}))\)

Factor out dy/dx:

(3y² + 6x⁴y⁵ - \((c^{x^{5})\))(dy/dx) = -4x³y⁶ + \(yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4}))\)

Finally, divide both sides by (3y² + 6x⁴y⁵ - cˣ^⁵) to solve for dy/dx:

dy/dx =\(-4x^3y^6 + yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4})) / 3y^2 + 6x^4y^5 - c^{x^{5}}\)

Therefore, \(-4x^3y^6 + yc^{x^{5}}(ln(c) * 5x^{4}c{x^{4})) / 3y^2 + 6x^4y^5 - c^{x^{5}}\)is the expression for dy/dx for the given equation.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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