S is between R and T. If RS = 7a, ST = 12a - 2, and RT = 36, then find ST

Step-by-step explanation:

hen certain solutes are mixed with water/ice, they lower the melting/freezing point below 0°C. This makes the ice melt at a lower (colder) temperature than normal and means that water needs to be colder than 0°C to turn from a liquid back into a solid.

Jade give away 3/4 fraction of the cake.

Answer:

pick D

Step-by-step explanation:

18 degrees

10% of 360 degrees is 36%

5% of 360 degrees is 18%

18°

It is an acute angle. Hope this helped

Answer:

The measure of the interior angle C is \(108^{o}\).

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = \(720^{o}\)

Sum of angles in a hexagon = \(720^{o}\)

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = \(720^{o}\)

15x + 135 = \(720^{o}\)

15x = \(720^{o}\) - 135

15x = 585

x = \(\frac{585}{15}\)

  = \(39^{o}\)

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = \(108^{o}\)

The measure of the interior angle C is \(108^{o}\).

Answer:

Step-by-step explanation:

The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:

\(\frac{x}{4.5}=\frac{15.3+7.4}{7.4}\) which simplifies a bit to

\(\frac{x}{4.5}=\frac{22.7}{7.4}\) and cross multiply to solve for x:

7.4x = 102.15 so

x = 13.8  That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:

A = (3.14)(6.9)² and

A = 3.14(47.61) so

A = 149.5 which rounds to 150, Choice C

The z score of the student is -1.39. The value z score is rounded to 2 decimal places.

What is mean?

The arithmetic mean, also known as the arithmetic average or simply the mean or average, is the sum of a set of numbers divided by the total number of numbers in the set. The collection frequently consists of a series of findings from a survey, experiment, or observational study.

The formula for the z-score is

z = (x - μ)/σ

x = standard value

μ = mean

σ = standard deviation

Given that the scored 75 points. The mean score of the student was 83.5 and the standard deviation was 6. 1.

Putting x = 75, μ = 83.5 and σ = 6.1

z = (75 -  83.5)/6.1

z = -1.3934

z ≈ -1.39

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People gain body fat when their total intake of kilocalories from food and the nonnutrient sources exceeds their energy needs.

When the energy intake from all sources, including macronutrients such as carbohydrates, proteins, and fats, exceeds the energy requirements of the body, the excess energy is stored in the form of body fat. This surplus energy can come from any source of calories, including both nutrient-dense foods (such as those providing carbohydrates, proteins, and fats) and nonnutrient sources (such as sugary beverages, processed snacks, or high-fat foods).

It's important to note that excessive calorie intake alone is not the only factor contributing to weight gain. Other factors, such as genetics, physical activity level, metabolism, and overall health, also play a role in determining an individual's body fat accumulation.

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Answer:

the fraction 3/12

Step-by-step explanation:

it is saying that x/12 = 1/4

x = 1 × 12 / 4

x = 12/ 4

x = 3

the fraction 3/12

Answer: The answer is the last one

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

Which makes b5 j2 j4.

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

Which gets you to b5 x j6.

So the last one is the answer

Answer:

\(b^5 * j^6\)

Step-by-step explanation:

Well we can use the exponential identity: \(x^a*x^b=x^{a+b}\)

The base must be the same for this to work.

So let's combine like bases: \((b^2*b^3)*(j^2*j^4)\)

We can simplify b^2 * b^3 using this identity to get: b^(2+3) = b^5

This gives us the equation: \(b^5*(j^2*j^4)\)

But to take a deeper look as to why this identity holds, let's represent b^2 and b^3 by what it really means: \((b * b) * (b * b * b)\), so this is really just: \(b * b * b * b * b\) which can be simplified as an exponent: \(b^5\), hopefully this helps you understand intuitively why this identity makes sense.

So using this identity, we can simplify j^2 * j^4 to j^6

This gives us the equation: \(b^5 * j^6\)

Answer:

Adult=$6, Student-$6 (I got $6 for both)

Step-by-step explanation:

Answer:55.44

\(24 x 2.31 equals 55.44\)

Step-by-step explanation: I have do my work

Answer:

Multiply 5 to both sides to get

(x+3)^2 = 100

Step-by-step explanation:

Please refer to the picture above.

Simplify the equation by aiming to eliminate the fraction in the right hand side of the equation by multiplying the denominator to both sides of the equation in step 2

Answer:

\((x + 3)^{2}\) = 100

Step-by-step explanation:

The probability of Alex winning a game of chess with his high school classmates is 0.44, while the probability of his twin sister, Alice, winning a game of chess is 0.75.

The probability of winning a game of chess can be seen as the likelihood of a specific outcome occurring out of all possible outcomes. In this case, the probability of Alex winning a game with his high school classmates is 0.44, indicating that out of all the games played, he is expected to win approximately 44% of them. Similarly, the probability of Alice winning a game of chess is 0.75, suggesting that she has a higher likelihood of winning compared to Alex.

It's important to note that these probabilities are based on certain assumptions and factors such as skill levels, strategies employed, and the competitive environment. It's possible that Alice has more experience or has developed a stronger skill set in chess, giving her an advantage and resulting in a higher probability of winning. On the other hand, Alex might face stronger opponents or have a different playing style that affects his chances of winning. The probabilities provide a statistical measure of the expected outcomes but do not guarantee the actual result of any individual game.

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If the sales tax in your city is 4.4% and an item costs $3 before tax the amount of tax you would  pay on that item is $0.132.

Sales tax is the tax amount that is charge on goods customers buys.

Using this formula to determine the sales tax

Sales tax = Sales tax percentage × Cost of item

Where:

Sales tax percentage = 4.4% or 0.044

Cost of item = $3

Let plug in the formula so as to find the sales tax

Sales tax = 0.044 × $3

Sales tax = $0.132

Therefore the sales tax amount is $0.132.

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Answer:

–3{6+2π} +7 =4

–3+8π+7=4

5π+7=4

12π =4

π =12/4

π=3

it help you

Answer:

I hope this helps please name me brainliest

Step-by-step explanation:

Answer:

La altura de la pirámide es de 8.14 unidades.

Step-by-step explanation:

Hay una pirámide cuadrangular regular cuyas caras laterales forman un ángulo que mide 53º con la base y el área de la superficie lateral es 60. ¿Qué altura tiene?

Dado que el área de superficie lateral = 60

Tenemos

Área del triángulo equilátero = (√3 / 4) × a²

 (√3 / 4) × a² = 60

a² = 60 / (√3 / 4) = 80 · √3

a = √ (80 · √3) = 11.77 unidades

La altura inclinada = Altura de la superficie inclinada = a × sin (60) = 11.77 × sin (60)

La altura inclinada = 11.77 × sin (60) = 10.194 unidades

La altura de la pirámide = Altura inclinada × sin (ángulo de caras laterales con la base)

La altura de la pirámide = 10.194 × sin (53) = 8.14 unidades.

La altura de la pirámide = 8.14 unidades.

Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24

A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.

To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.

So to find out the fraction of a whole pizza  that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,

3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24

Now to equally divide this into 5 person, we need to divide this fraction by 5,

i.e 55/(24*5) = 11/24

Therefore, each person gets 11/24 of the whole pizza.

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Answer:

C - 5

Step-by-step explanation:

We know

Emmet had c caramels

His sister took 5 caramels, that means subtract 5, so the equation is

c - 5

The exact area of the circle would be = 36πcm². That is option B.

The area of a circle can be calculated through the use of the formula = πr²

Where,

radius (r) = 6 cm

area = π × 6²

= 36π cm² ( in the terms of π)

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Answer of each statement is described below.

In the given figure,

We can see that,

In the graph X- axis represents the time

And Y- axis represents the height gain by rock.

The curve is passing through (0, 53), (4, 85) and (10.5, 0)

Now from figure we can observe that,

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If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the measure of m∠F, hence:

m∠E = 3x + 1

m∠D = 7x + 3

Also:

m∠F + m∠D + m∠E = 180° (sum of angles in a triangle)

x + (3x + 1) + (7x + 3) = 180

x = 16

m∠E = 3(16) + 1 = 49°

m∠D = 7(16) + 3 = 115°

The measure of ∠D, ∠E and ∠F in the triangle are 115°, 49° and 16° respectively

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The distance from the bird to the top of the tree is 61.95 feet.

We have,

Angle of elevation to the top of the tree: 38 degrees.

Angle of elevation to the bird: 60 degrees.

Distance from the base of the tree to your position: 84 feet.

Let the distance from the bird to the top of the tree as 'x'.

Using Trigonometry

tan(38) = height of the tree / 84

height of the tree = tan(38) x 84

and, tan(60) = height of the tree / x

x = height of the tree / tan(60)

Substituting the value of the height of the tree we obtained earlier:

x = (tan(38) x 84) / tan(60)

x ≈ 61.95 feet

Therefore, the distance from the bird to the top of the tree is 61.95 feet.

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Answer:

(-4,-9)

Step-by-step explanation:

vertex form: y=a(x-h)^2+k

hk=vertex of x and y

inside parentheses=horizontal (opposite signs)

that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses

Answer:

-4 is the slope

Step-by-step explanation:

Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.

The story of the raccoon and the piggy bank is a fascinating one. A raccoon was trained to place one coin in a piggy bank, but when the trainer attempted to teach the raccoon to place two coins in the bank, the raccoon rubbed the coins together for several minutes and refused to let them go. This event is an example of an animal's ability to understand the concept of quantity.

The raccoon's reaction can be attributed to the fact that it was unable to comprehend the notion of more than one item. It is a popular misconception that animals lack the ability to grasp concepts like quantity, but recent research has revealed that they are capable of comprehending these ideas to a certain extent.

This is important because it suggests that animals may have more intelligence than previously believed and may be able to perform more sophisticated tasks than previously assumed.

This research has significant implications for the treatment of animals, particularly in cases where they are used for experimentation or entertainment. By acknowledging that animals have a greater capacity for learning than previously believed, it becomes clear that they are deserving of more respect and consideration.

Additionally, the recognition of their cognitive abilities may lead to the development of more humane methods of training and treating animals, which would be a significant advancement in the field of animal welfare.

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