How do I find the surface area of this triangular prism

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

Answer:

To calculate how many packages Marcella has wrapped, you need to first calculate how many packages each roll of wrapping paper can be used for. Since Marcella uses 1/2 of a roll of wrapping paper for every 3 packages, it follows that she can wrap 3 packages for every 1/2 roll of wrapping paper. Therefore, 2 1/2 rolls of wrapping paper can be used to wrap 15 packages.

Option A, For the aptitude puzzle, the number of ways each of people has the same number of internet friends is 60.

We want to count the number of ways that the 6 people can be internet friends with each other given that each person has the same number of internet friends and no one has an internet friend outside of the group.

Let k be the number of internet friends each person has. Since each person knows 5 other people in the group, we have 6k = 5 * 6, which means that k=5.

Thus, each person has 5 internet friends. We can choose these 5 friends in 5 to choose 5 times 4 choose 5 times 3 choose 5 times 2 choose 5 times 1 choose 5 = 1 × 0 × 0 × 0 × 0 = 0 ways since we can't choose 5 friends from fewer than 5 people.

Therefore, the answer is (A) 60.

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The question is -

Adam, Benin, Chiang, Deshawn, Esther, and Fiona have internet accounts. Some, but not all, of them are internet friends with each other, and none of them has an internet friend outside this group. Each of them has the same number of internet friends. In how many different ways can this happen?

a. 60

b. 170

c. 290

d. 320

e. 660

The number of miles Celia drove than Rhonda is 4 miles. The correct option is C. 4 miles

From the question, we are to determine how much more Celia drove that Rhonda.

From the given information,

The total distance covered by Celia is

6 miles + 8 miles

= 14 miles

In the given diagram, we have right triangle

We can calculate the distance Rhonda covered using the Pythagorean theorem.

Let the distance Rhonda covered be R

Then,

R² = 6² + 8²

R² = 36 + 64

R² = 100

R = √100

R = 10 miles

Thus,

The distance Rhonda covered is 10 miles

Now,

The number of miles Celia drove more than Rhonda is

14 miles - 10 miles

= 4 miles

Hence, Celia drove 4 miles more than Rhonda

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A graph of the linear function y = -2x/3 + 490 in slope-intercept form is shown in the image attached below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Next, we would rearrange and simplify the given given linear equation in slope-intercept form in order to enable us plot it on a graph:

2x + 3y = 1,470

3y = -2x + 1,470

y = -2x/3 + 1,470/3

y = -2x/3 + 490

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Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer: 0.2

Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.

El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.

Consideremos el número dado 0.1561

El número en el lugar de las décimas es 1

El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)

De esta manera, el número se reunirá en 0,2

Answer:

Price of each ticket = $70

Step-by-step explanation:

The revenue generated from sales of 10 tickets = 70 x 10 = $700

After selling the 10 tickets, organization was still at loss of $800. This means total product cost of tickets = $800 + $700 = $ 1500

Net Profit = Revenue - Cost

Revenue from n tickets will be = 70n

Cost = $1500

So, net profit as a function of number of tickets sold = P(n) = 70n - 1500

Question 4: Laura applies for the position of ambulance medic. To give her a job simulation (behavioral interview) screening test, the interviewer...

This question involves providing a job simulation or behavioral interview, which allows the interviewer to observe how the candidate performs in a simulated work situation. This type of question assesses the candidate's skills, abilities, and behavior in a real or simulated work scenario, providing a more accurate evaluation of their capabilities for the job.

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Answer:

25 and 31, respectively

Step-by-step explanation:

1. Divide the number of miles (77 1/2) by the number of gallons (3 1/10).

2. Whatever number you get is where you place your dot

Tip: Converting fractions to decimals can make the work easier (in this case [77 1/2=77.5], [3 1/10=3.1], [99 1/5=99.2], and [3 1/5=3.2]

If the line and curve intersect, it happens when

\(mx + 2 = x^2-5x+18\)

or

\(x^2-(m+5)x + 16 = 0\)

Recall the discriminant (denoted by ∆) of a quadratic expression:

\(\Delta (ax^2+bx+c) = b^2 - 4ac\)

If the discriminant is positive, then the quadratic has two real roots. If it's zero, it has only one real root. If it's negative, it has two complex roots. We're interested in the third case, because that would make it so the above equation has no real roots corresponding to points of intersection in the x,y-plane.

The discriminant here is

\((-(m+5))^2 - 4\cdot16 = (m+5)^2-64\)

Find all m such that this quantity is negative:

\((m+5)^2-64 < 0 \\\\ \implies (m+5)^2 < 64 \\\\ \implies \sqrt{(m+5)^2} < \sqrt{64} \\\\ \implies |m+5| < 8 \\\\ \implies -8 < m + 5 < 8 \\\\ \implies \boxed{-13 < m < 3}\)

Answer:

x = 11.25

Step-by-step explanation:

4 (x-5) = 25

4x - 20 = 25

4x = 25 + 20

4x = 45

x = 45÷4

x = 11.25

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Answer: 60 percent

Step-by-step explanation: Your welcome!

Answer:

60 percent

Step-by-step explanation:

Think of it as, money if you spend 6 dollars of the 10 you have. That mean you have spent 60 percent of you money.

Answer:

41

Step-by-step explanation:

Distance = √[(x1-X2)²+(y1-y2)²]

Sub the values in

and you would get the answer 41.

The average distance between the Earth and the Moon is about 238,855 miles or 1.28 light-seconds.

To convert miles to feet, multiply by 5,280, giving us approximately 1.27 million feet. A rocket traveling at a speed of 1,540,000 ft/min would take approximately 82.5 minutes to travel to the Moon. The round trip to the Moon and back would take approximately 165 minutes, or about 2 hours and 45 minutes.

It's important to note that this is an estimate and the actual time it takes may vary due to various factors such as the rocket's trajectory, speed, and other environmental conditions. Also, it's worth noting that this speed is significantly faster than current spacecraft speeds, so the actual time it would take a rocket to travel to the Moon and back is likely to be much longer.

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The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

This problem is based on the area of rectangle .

Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.

Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.

The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .

So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.

Similarly the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.

Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

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The smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

This problem is based on the area of a rectangle.

Here, since the height and the width of the window are distinct, so the window can be assumed to be of rectangular shape.

Now, the area of a rectangle is given by = l x b where l and b are respectively the height and the width of the window respectively.

The area would be smallest when both the height and width are least i.e. 140 cm and 70 cm .

So, smallest area = lxb = 140 x 70 = 9800 sq. cm = 9.8 sq. m.

Similarly, the largest area would be when both the height and the width are maximum i.e. largest area = lxb = 150x 74 = 11,100 sq cm. =11.1 sq metres.

Therefore, the smallest and the largest area of the window will be 9.8 and 11.1 sq. metres respectively.

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Answer:

17) 3   18) 3

Step-by-step explanation:

Answer:

17. C

18. C

Step-by-step explanation:

The greater the negative number, the less the number values. -10 is smaller than -8 because -10 is farther away from the number line to the left.

Go in terms of the tenths place. If its smaller than the number will be less than the bigger numbers. 0.227 is bigger than 0.18 because it has a 2 in the tenths place.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Answer: Hi!

The only thing we're able to do to simplify this equation is combine our like terms. We have two like terms in the equation: 7.5 and 9.63.

7.5 + 9.63 = 17.13

Our equation now looks like this:

n + 17.13

We have nothing left to simplify, so we're done!

Hope this helps!

Yes , it is possible that t for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior

A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

A formal power series that encodes the coefficients of a sequence of numbers is a generating function.

Here, the coefficients of the sequence {Sₙ} are encoded by the generating function S(x). where Sₙ is the number of lattice paths as described above.

Here we will use the fact that the generating function for a sequence satisfies a functional equation that relates the generating function to the sequence itself to prove that 1 + (x – 1)S(x) + xS(x)² = 0,

Here, the functional equation is

S(x) = 1 + xS(x) + xS(x)²

This equation implies that

The term 1 on the right-hand side corresponds to the fact that to reach the point (0,0) (the starting point), there is exactly one way which is to stay at the starting point.

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An appropriate tree diagram.
            /    \

           /      \

   0.6 /         \ 0.4

       /             \

     R               NR

    / \                /  \

  /     \             /       \

0.6    0.4    0.6    0.4

 R     NR     R        NR

Where R represents rain and NR represents no rain.

By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of

P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16

Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.

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Answer:

x=8,-2

Step-by-step explanation:

Add 10 to both sides.

{(x-3)}^{2}=15+10

2 Simplify 15+10+25

(x−3) ^2=25

3 Take the square root of both sides.

x-3=+or-√25

After 2.10 years, there will be 8 grams of radioactive substance left.

The rate of decay of a radioactive substance is proportional to the amount of substance present.

Thus, we can conclude that the quantity of the radioactive substance present decreases exponentially over time.

A radioactive decay constant is defined as the fraction of the substance that decays in a unit of time, t.

According to the given statement, the rate of decay of a radioactive substance is proportional to the amount of substance present.

Suppose that the quantity of radioactive substance present initially is A0.

Then, the decay constant is represented by λ.

As the substance continues to decay, the remaining amount of the substance present after time t can be given by the exponential decay equation:  A(t) = A0e-λt

where A(t) represents the amount of substance present after time t.

In this problem, we are given that 12 grams of the substance were initially present, and now there are 8 grams. Therefore, we need to find out the value of t using the given data.

For this, we can use the exponential decay equation:  A(t) = A0e-λt

Let's assume that the amount of the substance present after time t is A(t) = 8 g, A0 = 12 g

Thus, the equation becomes 8 = 12e-λt

To find the value of λ, we can rearrange the equation and take the natural logarithm on both sides:

ln (8/12) = ln (e-λt)ln (8/12)

= -λt ln (e)ln (8/12)

= -λt λ = -ln (8/12)/t λ = ln (12/8)/t λ = 0.2877/t

Since we now know the value of λ, we can substitute the values of A0 and λ in the exponential decay equation to find the value of t.

A(t) = A0e-λtA(t) = 12e-0.2877/t

A(t) = 8 (Given)

Therefore, 8 = 12e-0.2877/t 0.6667 = e-0.2877/t

Taking natural logarithm on both sides, we get:

ln (0.6667) = ln (e-0.2877/t)ln (0.6667)

= -0.2877/t ln (e)ln (0.6667)

= -0.2877/t t

= -0.2877/ln (0.6667) t

= 2.10 years.

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Answer:

11.4

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)

1. \(d=\sqrt{(-4-5)^2+(-3-4)^2}\)

2. \(d=\sqrt{(-9)^2+(-7)^2}\)

3. \(d=\sqrt{81+49}\)

4. \(d=\sqrt{130}\)

5. \(d=11.4017\)

6. \(d=11.4\)

Answer:

I can help you but first I need the rest of the answers to find out what's it equivalent to.

Answer:

top left questions answer is B

the area of the triangle is A

Volume of the cylinder is B

The area of the triangle for q 17 is A

Answer:

1. b

2.a

17.c

Step-by-step explanation:

Answer:

D. y = 58

Step-by-step explanation:

Answer:

The value of the polynomial   is 58 for x = 6.

Step-by-step explanation:

Here, the given quadratic function polynomial is given as:

or,  

Now, to find the value of y, when x = 6

⇒  

                 = 2(36 - 6 -1)  = 2(29)  

                 = 58

⇒y(6)  = 58

Hence, the value of the given polynomial   is 58 for x = 6.