What is the perimeter P of triangle ABC to the nearest whole number

According to the information, the equation that expresses this situation is x = 1/4 / 2

To identify the equation that corresponds to this expression, we must take into account that the amount of gravel that he used in a single cactus is equal to x.

Additionally, we must take into account that x is equal to half of 1/4. Therefore, we must write the equation as follows:

If we want to know the result we can develop the operation as shown below:

Learn more about mathematical expressions in: https://brainly.com/question/30350742

#SPJ1

The correct answer is 4g. Spaghetti is a great source of fiber, with 4g per serving.

Fiber is a type of carbohydrate found in plant-based foods. It is not digested or absorbed by the body, but instead passes through the digestive system and out of the body. Fiber helps promote healthy digestion by adding bulk to the stool, helping it to pass through the intestines more quickly.

Fiber is an essential part of a healthy diet. It helps to keep your digestive system functioning properly, reduce cholesterol levels, and aid in weight management. It can be found in many plant-based foods, as well as some animal-based products. Spaghetti is a great source of fiber, with 4g per serving. This is a good amount for a meal, and it can help you meet your daily fiber needs. Eating a variety of foods that are high in fiber can help you stay healthy and reach your dietary goals. Getting enough fiber in your diet can also help reduce your risk of diabetes, heart disease, and stroke. So, the correct answer is 4g of fiber per serving of spaghetti.

For more information about healthy diet,

https://brainly.com/question/25365932

#SPJ1

It sure looks like a linear function to me.

You can confirm this by finding the slope of "down 10/right 2" to give you a slope of -5.

Answer:

12 lbs of food per bag

Step-by-step explanation:

To distribute cat food equally into a certain number of bags, we can divide the amount of cat food by the number of bags to get how much food should go in each bag.

60 lbs of food ÷ 5 bags = 12 lbs of food per bag

The probability that a son will inherit the​ disease would be

P{E} = 1/4.

Given is that men have XY​ (or YX) chromosomes and women have XX chromosomes.​ X-linked recessive genetic diseases​ (such as juvenile​ retinoschisis) occur when there is a defective X chromosome that occurs without a paired X chromosome that is not defective. Represent a defective X chromosome with lowercase​ x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child.

The probability that a son will inherit the​ disease if a father has the

defective {x} chromosome and the mother has good {XX}​ chromosomes

as -

P{E} = 4/16

P{E} = 1/4

Therefore, the probability that a son will inherit the​ disease would be

P{E} = 1/4.

To solve more questions on probability, visit the link below-

https://brainly.com/question/30672622

#SPJ1

The intercepts are (0, 0), (-π, 0) and (π, 0)

The intercepts

The intercepts of a graph are the points where the graph intersects the x-axis (horizontal axis) and the y-axis (vertical axis).

From the given graph, we have the intercepts to be

(0, 0), (-π, 0) and (π, 0)

The domain and the range

The domain of a graph refers to the set of all possible input values, while the range refers to the set of all possible output values.

Using the above definition as a guide, we have

Domain = (-∝, ∝)

Range = [-2, 2]

The increasing and the decreasing interval

From the graph, we can see that the y values decrease from x = -π till x = -π/2 and also decrease from x = π/2 till x = π

Also, it increase from -π/2 till π/2

These are the increasing and the decreasing intervals

The function type

Based on the appearance of the graph, the function is an odd function

Read more about functions at

brainly.com/question/4138300

#SPJ1

Answer:

$10,000

Step-by-step explanation:

Let

Principal= x

Rate = 12%

Time = 2 years

Interest = (Final amount with interest placed on it) - Principal

Therefore,

Interest = 12,400 - x

Using

I = (P·r·t) / 100

Making P, subject of formula,

P = (100·I) / (R·T)

x = [100·(12,400 - x)] / (12.2)

x = (1,240,000 - 100x) / 24

Cross multiply,

24x = 1,240,000 -100x

24x + 100x = 1,240,000

124x = 1,240,000

x = 1,240,000 / 124

x = 10,000

Therefore, the principal, amount we need to invest is

$10,000

Please mark brainliest.

Thanks.

The graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

The function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 is a polynomial function of degree 4.

To sketch the graph of this function without using technology, we can start by analyzing the end behaviors of the function. As x approaches negative infinity, the leading term of the function, x^4, dominates and the function approaches positive infinity. As x approaches positive infinity, the leading term also dominates and the function again approaches positive infinity. This means that the graph will have a shape that rises on both ends.

Next, we can find the x-intercepts of the function, which are the values of x where P(x) = 0. We can use synthetic division or factorization to find that the function has three real roots: x = -2, x = -1, and x = 3. These values represent the points where the graph intersects the x-axis.

Finally, we can find the y-intercept of the function, which is the value of P(0). We can plug in x = 0 into the function to find that P(0) = 18. This means that the graph intersects the y-axis at the point (0, 18).

Putting all of this information together, we can sketch a rough graph of the function. The graph rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The function is positive between x = -2 and x = -1, and between x = 3 and positive infinity. The function is negative between x = -1 and x = 3.

To summarize, the graph of the function P(x) = x^4 - x^3 - 11x^2 + 9x + 18 rises on both ends and intersects the x-axis at x = -2, x = -1, and x = 3. The graph intersects the y-axis at the point (0, 18). The company will break even at the points where P(x) = 0, which are x = -2, x = -1, and x = 3.

learn more about x-intercepts: https://brainly.com/question/17932786

#SPJ1

Answer:

Step-by-step explanation:

y=4x + 10

y=3x + 15

Answer:

6 + 40 *3 = 126

Step-by-step explanation:

first is 6 and you add 3 in every step

Answer:

126 smileys

Step-by-step explanation:

[tex]a_{1} =[/tex] First term

    = 6

[tex]d =[/tex] Common difference

  = 3

[tex]n =[/tex] [tex]n^{th} term[/tex]

  = Step number

Arithmetic sequence will be applied:

[tex]a_{n} = a_{1} + (n - 1)d[/tex]

For n = 2:

[tex]a_{2} = 6 + (2 - 1)(3)[/tex]

    [tex]= 6 + (1)(3)[/tex]

    [tex]= 9[/tex]

For n = 3:

[tex]a_{3} = 6 + (3-1)(3)[/tex]

    [tex]= 6 + (2)(3)[/tex]

    [tex]= 6 + 6[/tex]

    [tex]= 12[/tex]

∴For n = 41:

[tex]a_{41} = 6 + (41 - 1)(3)[/tex]

     [tex]= 6 + (40)(3)[/tex]

     [tex]= 6 + 120[/tex]

     [tex]= 126[/tex]

∴There will be 126 smiley faces in Step 41

The product of any two terms in the sequence is also a term in the sequence has been proved.

What is a sequence?

A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be A series is an ordered collection of numbers (or other things like geometric objects), and it typically has a particular structure or function. Sequences can be either infinite or illimitable in length.either infinite or illimitable in length.

Suppose there is a sequence 3, 9, 27, 81.

Taking product of first two numbers, we get

3 × 9 = 27

We can see that the term 27 is present in the sequence.

This represents that in a sequence, the product of two numbers will be the term in the sequence.

Hence, the product of any two terms in the sequence is also a term in the sequence.

Learn more about sequence from the given link

https://brainly.com/question/3625879

#SPJ1

Answer:

Step-by-step explanation:

A standard deck of cards has 52 cards, including 4 queens. If you are certain to get a queen when selecting 49 cards from a shuffled deck, it means that one of those 49 cards must be a queen, and the remaining 48 cards can be any of the remaining 48 cards in the deck.

So, the probability of selecting a queen from a shuffled deck of cards is:

probability = number of favorable outcomes / total number of possible outcomes

Since we are certain to get a queen, the number of favorable outcomes is 4 (the number of queens in the deck), and the total number of possible outcomes is 49 (the number of cards selected from the deck).

Therefore, the probability of selecting a queen is:

probability = 4/49

This fraction cannot be simplified any further. Since the probability value is between 0 and 1 inclusive, we can express the indicated degree of likelihood as a probability value of approximately 0.0816.

Answer:

it's 48 I think that's the answer for the question.

Answer:

Step-by-step explanation:

To solve this problem, we need to standardize the IQ score using the formula:

z = (x - μ) / σ

where x is the IQ score, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

So, for x = 98, we have:

z = (98 - 100) / 15 = -0.1333

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -0.1333 is approximately 0.4483.

Therefore, the probability of a random person on the street having an IQ score of less than 98 is 0.4483 (or 44.83% rounded to four decimal places).

Answer:

Step-by-step explanation:

The simple interest can be calculated using the formula:

I = P * r * t

where:

P = principal amount = $575

r = annual interest rate = 6.5% = 0.065

t = time period = 10 years

I = 575 * 0.065 * 10

I = $373.75

The new balance can be found by adding the interest to the principal:

New balance = Principal + Interest

New balance = $575 + $373.75

New balance = $948.75

Rounded to the nearest cent, the new balance is $948.75.

The measure of the angle for each letter found by finding the variables representing the angles simultaneously using circle theorems are;

a = 90°, b = 12°, c = 64°, d = 52°, e = 52°, f = 48°, g = 66°, h = 32°, i = 36°, j = 20°

A simultaneous equation consists of two or more equations that consists of the same variables.

The evaluation of the angles in the circle are presented as follows;

a + a = 180° (linear pair angles)

2·a = 180°

a = 180°/2 = 90°

a = 90°

The 32° angle indicates that the base angle of the large isosceles triangle is 2 × 32° = 64°

Angle c is a base angle of the isosceles triangle, therefore, we get;

c = 64°

Angle b + 90° + 78° = 180° (Angle sum property of a triangle)

b = 180° - (90° + 78°) = 12°

b = 12°

In the isosceles triangle with angle 2·b, and the isosceles triangle formed by the radii to the vertices, we get;

2·b + 2·b = f, therefore;

f = 2·b + 2·b = 4·b

f = 4·b

f = 4 × 12° = 48°

f = 48°

The measure of angle g is equivalent to the measure of a base angle of the isosceles triangle with the angle 2·b, with angle f = 48° being a vertex of the triangle, therefore;

g = (180° - 48°)/2 = 66°

g = 66°

Vertex angle of the cyclic quadrilateral with 5·b can be found as follows;

2·f + The vertex angle = 180°

Vertex angle = 180° - 2 × 48° = 84°

Vertex angle = 84°

5·b + 2·h + i + j = 180°

5 × 12 + 2·h + i + j = 180°

60° + 2·h + i + j = 180°

2·h + i + j = 180° - 60° = 120°

2·h + i + j = 120°...(1)

2 × 2·h + 2 × j = 2 × 84°

2·h + j = 84°...(2)

2·f + 5·b + i + 168° = 360°

i = 360° - 2·f + 5·b + 168°

i = 360 - (96 + 60 + 168) = 36

2·h + i + j - (2·h + j) = 120° - 84° = 36°

i = 36°

5·b + 2·h + 2·f + i + j + 84° = 360°

60° + 2·h + 96° + 36° + j + 84° = 360°

2·h + j = 360° - 84° - 36° - 60° - 96°  = 84°

2·h + j = 84°

The two tangent theorem indicates that we get;

90° - 64° = 26°

180° - 2 × 26° = 128°

h = (180° - 128°/2)/2 - 26° = 32°

h = 32°

2·h + j = 84°

j = 84° - 2·h

j = 84° - 2 × 32° = 20°

j = 20°

d = e (Angles subtended by the same chord)

2·c + d = 180°

2 × 64° + d = 180°

d = 180° - 2 × 64° = 52°

d = 52° = e

e = 52°

Learn more on cyclic quadrilaterals here: https://brainly.com/question/26690979

#SPJ1

Answer:

The visible spectrum can be broken up into particular ranges of wavelengths; each corresponding to what we call colors: violet and indigo: 380 - 450 nm. blue and aqua: 450 - 500 nm. green: 500 - 570 nm.

The system of inequalities graphed is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The lower bound of the graph is a horizontal line at y = -1, hence:

y > -1.

For the upper bound of the graph, we have a linear function with these following parameters:

The upper bound is also a closed interval, as the line is solid, hence:

y ≤ -x + 1.

More can be learned about a system of inequalities at https://brainly.com/question/30962748
#SPJ1

The values of the limits of g(x) as x approaches 33 minus and 33 plus can be determined by examining the table of values and looking for the values of g(x) as x gets closer and closer to 33 from the left and the right sides.

As x approaches 33 from the left (i.e., values of x slightly less than 33), we can see from the table that the values of g(x) decrease from -7 to -16. Therefore, the limit of g(x) as x approaches 33 from the left is -16.

As x approaches 33 from the right (i.e., values of x slightly greater than 33), we can see from the table that the values of g(x) increase from -6.1 to -7. Therefore, the limit of g(x) as x approaches 33 from the right is -7.

Therefore, the correct answer is:

Limit of g(x) = negative 16 as x approaches 33 minus and limit of g(x) = negative 7 as x approaches 33 plus.

The values of the missing sides are;

1. q = 4. 1, p = 11. 3

2. y = 56. 6, x = 35. 6

3. b = 16. 7, a = 9.1

Using the sine and cosine identities, we have;

sin θ = opposite/ hypotenuse

cos θ = adjacent/hypotenuse

We have that;

sin 20 = q/12

find the values

q = 4. 1

Also

cos 20 = p/12

p = 11. 3

For the second triangle

cos 39 = 44/y

cross multiply

y = 44/0. 7777

y = 56. 6

Also,

sin 39 = x/56.6

x = 35. 6

For the third triangle

sin 57 = 14/b

cross multiply

b = 16. 7

Also,

cos 57 = a/16. 7

cross multiply

a = 9. 1

Learn about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer: -5

Step-by-step explanation:

from slope-intercept form, y=mx + b, where b is (-2), and the slope/m is (-5).

hope this helps, and please respond if I'm wrong

M = -5

That’s the answer

The eighth term of the sequence is 256.

To find the eighth term in the sequence 4, 16, 36, 64, 100, ...., we need to first determine the pattern that generates the sequence.

Looking at the sequence, we notice that;

Therefore, we can see that the nth term of the sequence is equal to n^2 * 2^0, 2^2, 2^2, 2^2, 2^2, 2^2, ...

So, the eighth term of the sequence would be:

8^2 * 2^2 = 64 * 4 = 256

Learn more about sequence here: https://brainly.com/question/6561461

#SPJ1

The answer of imaginary expression is option a. The value is -3i[tex]\sqrt2[/tex] .

Imaginary expression is a specific type of algebraic expression which involves the square root of a negative number. For example 2+3i is an Imaginary expression.

Given that,

          -1[tex]\sqrt{-1[/tex] [tex]\sqrt9[/tex] [tex]\sqrt{2[/tex]

      =-1×i×3×√2 [since [tex]\sqrt-1[/tex]= i and [tex]\sqrt{9[/tex] =3]

[Here [tex]\sqrt-1[/tex] is an imaginary number]

      = -3i√2

Hence the answer is -3i√2 .

To learn more about expression from the given link.

https://brainly.com/question/29082929

#SPJ1

Answer:

0.96

Step-by-step explanation:

Bella owns a small business selling ice-cream. She knows that in the last week 50 customers paid cash, 2 customers used a debit card, and 4 customers used a credit card.

Based on these results, express the probability that the next customer will pay with cash or a credit card as a decimal to the nearest hundredth.

50 cash, 2 debit card, and 4 credit card.

50+2+4= 56

There were a total of 56 customers. 50+4=54 customers paid with cash or a credit card.

Probability the next customer will pay with cash or a credit card:

54

56

​

= 0.964285...

≈ 0.96

Round to the nearest hundredth

The probability as a decimal to the nearest hundredth is

0.96

Answer:

Let's assume that the length of the athletics track is "L" units, and let "x" be the speed (in units per minute) at which you run the first lap.

Since you're running two laps, the total distance covered is 2L. The time it takes to complete the first lap is L/x, since time = distance ÷ speed. For the second lap, you want your average speed to be twice the speed of the first lap, so your total time for the second lap must be half the time of the first lap:

Total time for second lap = 0.5 * (L/x) = L/2x

The total time for the two laps is the sum of the time for each lap:

Total time = L/x + L/2x = (2L + L)/(2x) = 3L/(2x)

The average speed for the two laps is the total distance (2L) divided by the total time (3L/2x):

Average speed = (2L) / (3L/2x) = 4x/3

Since you want your average speed for the second lap to be twice the speed of the first lap, you can set up the following equation:

2x = (4x/3) - x

Solving for x, we get:

2x = 4x/3 - x

5x/3 = 0

x = 0

This means that you would have to run the first lap at a speed of 0 units per minute, which is impossible. Therefore, it's not possible to run two laps of an athletics track such that the average speed of the second lap is twice the speed of the first lap.

Step-by-step explanation:

Answer: C

Step-by-step explanation: 0.3 is greater than 0.20

0.3 could be 0.30 or 0.35 or even 0.31, depends.

The total cost of the deal for the router for Tina is given by A = $ 1059.81

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the total cost of the deal be represented as A

Let the initial price of the router be = $ 39.99

Now , the percentage of discount for the router = 15 %

So , the final cost of the router = ( 85/100 ) x 39.99

On simplifying , we get

The final cost of the router = $ 33.9915

Now , the number of months = 18 months

The contract rate = $ 56.99 per month

So , the total contract rate for 18 months = 18 x 56.99

The total contract rate for 18 months = $ 1,025.82

Now , total cost of the deal A = final cost of the router + total contract rate for 18 months

On simplifying the equation , we get

The total cost of the deal A = $ 1,025.82 + $ 33.9915

The total cost of the deal A = $ 1059.8115

The total cost of the deal A = $ 1059.81

Hence , the total cost of the deal is $ 1059.81

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ1

Answer:

y = -4x + 5.

Step-by-step explanation:

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the line passes through the point (2, -3) and has a slope of -4, we can use the point-slope form of a linear equation to find the y-intercept:

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point, and m is the slope.

Substituting the given values, we get:

y - (-3) = -4(x - 2)

Simplifying and rearranging, we get:

y + 3 = -4x + 8

Subtracting 3 from both sides, we get:

y = -4x + 5

Therefore, the equation in slope-intercept form for the given line is y = -4x + 5.