Which expression is equivalent to 3a+9a+7b-b

Answer:

B, C

Step-by-step explanation:

B is the answer, and C is equivalent.

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Answer:

37, 3, 37

Step-by-step explanation:

Answer:

Answer:

750,000 ft^3

Step-by-step explanation:

What we know:

The ratio of the dimensions of the model to the actual is 1:50

The volume of the model is 6ft^3

Since the ratio is for the dimensions, multiplying by 50 isn't sufficient

Since it is ft^3, it is 3D, so it has to be multiplied by 50^3

(This is the same as multiplying by 50 3 times for length, width, and height)

50^3 = 50 * 50 * 50 = 125,000

125,000 * 6 = 750,000 ft^3

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

Given that there is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds.will register a weight greater than 80 pounds

When a body is submerged in a water an upward force acts on the body known as buoyant force which is equal to weight of the water displaced by the body. Since water exerts Buoyant force on the body and according to Newton's third law there must be equal and opposite force exerted by the body on the water. This additional force equal and opposite to the Buoyant force will cause the reading of the scale to increase. Therefore the scale will register a weight greater than 80 pounds due to Newton’s Third Law.

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The complete question is :

There is a 1-liter container filled with 500 milliliters of water placed on top of a scale displaying 80 pounds. When a metal cube is submerged tied to a string end into the container, which of the following statements accurately describes the result?

The cube’s density must be provided to predict what will happen

The scale will remain at 80 pounds until the cube is floating on top of the water fully submerged.

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

The scale will register a weight greater than 80 pounds due to Newton’s Third Law

Answer:

  x = 143

Step-by-step explanation:

You want the fourth angle when three of the angles around a point are given.

The total of angles around a point is 360°. That means ...

  x° +51° +39° +127° = 360°

  x = 360 -217 . . . . . . . . . . . subtract 217 and simplify

  x = 143

__

Additional comment

This means the figure is not drawn to scale, and the diagonal is not a straight line.

Answer:

(-2,2)

Step-by-step explanation:

Answer:

36 Kilograms of Dough in 6 hours

Step-by-step explanation:

Each hour Ken prepares 6 kilograms of dough, and every 2 hours Ken prepare 12 kilograms of dough.

The cosine function that would model the tide situation for this beach is given as follows:

y = -3cos(πx/12) + 1.

The function is at it's minimum value at the origin, hence it is a reflected cosine function, defined as follows:

y = -Acos(Bx) + C.

The parameters are given as follows:

The minimum value is of -2, while the maximum value is of 4, for a difference of 6, hence the amplitude of the function is given as follows:

2A = 6

A = 6/2

A = 3.

With no vertical shift, the function should oscillate between -A = -3 and A = 3, but it oscillates between -2 and 4, hence the vertical shift is given as follows:

C = 1.

The period is of 24 hours, hence the coefficient B is given as follows:

2π/B = 24

24B = 2π

B = π/12.

Hence the function is defined as follows:

y = -3cos(πx/12) + 1.

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Answer:

5

Step-by-step explanation:

26/5= 5.2

the greatest whole number that can be chosen is 5.

There are 65,780 ways possible to choose the fishes.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

Given that, there are 26 goldfish in the tank at the store we need to find that in how many ways can ben choose 5,

Using the concept of combination =

²⁶C₅ = 26! / 5!(26-5)!

²⁶C₅ = 26! / 5!·21!

²⁶C₅ = 65, 780

Hence, there are 65,780 ways possible to choose the fishes.

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The 7th term of an Arithmetic Progression 50+45+40 is 20

The Arithmetic Progression is given as:

50+45+40

In the above Arithmetic Progression, we have

First term, a= 50

Common difference, d = 45 - 50 = -5

The nth term of the Arithmetic Progression is calculated as:

Tn = a + (n - 1)d

Substitute the known values in the above equation

Tn = 50 + (n - 1) * -5

Substitute 7 for n in the above equation

Tn = 50 + (7 - 1) * -5

Evaluate the product

Tn = 50 - 30

Evaluate the difference

T7 = 20

Hence, the 7th term of an Arithmetic Progression 50+45+40 is 20

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The probability that the point that is selected randomly would be in the semicircular region would be = 0.28.

To calculate the probability of a selected point, the formula for probability should be chosen. That is;

Probably = possible outcome/sample space

Possible outcome is the area of the semicircle = πr²/2

where r = 5 in

Area of semicircle = 3.14×5×5/2

=78.5/2 = 39.25 in²

The sample space = area of semicircle+area of square.

But Area of the square;

= length×width

= 10×10 = 100in²

sample space = 100+39.25 =139.25

Probability = 39.25/139.25 = 0.28

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Answer:

The answer is D) Y = 3/4x-2

Step by step explanation:

3x - 4y = 8

Express it in the term of y.

Subtract 3x from both sides:

3x - 4y - 3x  = 8 - 3x

- 4y = 8 - 3x

Divide both sides by -4

-4y/-4 = (8 - 3x)-4

y = 8/-4 - 3x/-4

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

y = -2 + 3/4x

y = 3/4x - 2

Answer:

Step-by-step explanation:

Answer:

If you want the area of something with the sides 14cm and 7cm then it would be 98 cm.

Step-by-step explanation:

Area = length * width

Area = 14 cm * 7 cm

Area = 98 cm

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:

The surface area of the cube is equal to 216 cm².

General Formulas and Concepts:
Geometry

Surface Area Formula [Cube]:
\(\displaystyle \text{SA} = 6a^2\)

Step-by-step explanation:

Step 1: Define

Identify given variables.

a = 6 cm

Step 2: Find Surface Area

∴ we have found the surface area of the cube to be 216 cm².

---

Topic: Geometry

The surface area of a 3D figure is the sum of the area of its faces.

We know the following:

Since all faces in a cube have the same area, the surface area of a cube is:

\(\boxed{(\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})^{2} + (\text{side})x^{2} = 6(\text{side})^{2}}\)

Therefore, the surface area of a cube must be known as 6(side)².

\({\text{Given side length of cube:} \ |\text{6 centimeters}|\)

Substitute the side length in the surface area formula and simplify:

\(\implies 6(6)^{2}\)

\(\implies 6(6)(6)\)

\(\implies \boxed{216 \ \text{cm}^{2}}\)

Therefore, the surface area of the cube is 216 cm².

\(\overline{===============================================}\)

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The measure of angle cbd in regular octagon ABCDEFGH is 22.5°.

We are given that;

The octagon ABCDEFGH

Now,

To find the measure of angle CBD. Since ABCDEFGH is a regular octagon, triangle BCD is an isosceles triangle with BC = BD2. Therefore, the base angles of triangle BCD are congruent and have the same measure. Let x be the measure of angle CBD. Then, we have:

x + x + 135° = 180° (sum of angles in a triangle)

2x + 135° = 180°

2x = 180° - 135°

2x = 45°

x = 45°÷2

x = 22.5°

Therefore, by the angle the answer will be 22.5°.

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Answer:

what are you trying to solve?

Simplifying this equation, we get:

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

Therefore, the value of k is 1.

In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,

\(3x^2 + 2x - 1\)

is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.

The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.

Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.

We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:

\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)

where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.

Now, let's substitute x = 2 into the equation above:

\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)

Simplifying the left-hand side, we get:

\(8 + 4k + 4k + 6 = 30\)

\(16k = 16\)

\(k = 1\)

OR

8 + 4k + 4k + 6 = 30

8k + 14 = 30

8k = 16

k = 2

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Answer:

Step-by-step explanation:

Function representing the bacterial growth has been given as,

\(b_1(t)=1200(1.8)^t\)

a). Here 1200 represents the initial number of bacteria taken for the study (1).

b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.

c). Second study is modeled by the function given as,

  \(b_2(t)=1000(1.8)^t\)

  Here, initial population of bacteria = 1000

  Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.

The quadratic regressiοn equatiοn fοr the given data pοints is y = 5x² - 20x + 7

A secοnd-degree equatiοn οf the fοrm ax² + bx + c = 0 is knοwn as a quadratic equatiοn in mathematics. Here, x is the variable, c is the cοnstant term, and a and b are the cοefficients.

Tο find the quadratic regressiοn equatiοn fοr the given data pοints, we need tο fit a quadratic equatiοn οf the fοrm y = ax² + bx + c tο the data.

We can start by using the three given pοints tο set up a system οf three equatiοns:

\((1,-8): a(1)^2 + b(1) + c = -8\\\\(2,-4): a(2)^2 + b(2) + c = -4\\\\(3,6): a(3)^2 + b(3) + c = 6\)

SimpIifying each equatiοn, we get:

a + b + c = -8 (equatiοn 1)

4a + 2b + c = -4 (equatiοn 2)

9a + 3b + c = 6 (equatiοn 3)

AIternativeIy, we can use technοIοgy such as a caIcuIatοr οr spreadsheet tο sοIve the system.

SοIving the system using technοIοgy, we get:

a = 5

b = -20

c = 7

Therefοre, the quadratic regressiοn equatiοn fοr the given data pοints is:

y = 5x² - 20x + 7

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Answer:

Step-by-step explanation:

The paths crossed at when the height are equal i.e when f(x) = g(x)

Given

f(x)=−x^2+2x+4

g(x) = 2x

IF f(x) = g(x), then;

−x^2+2x+4 = 2x

−x^2+2x+4 - 2x = 0

−x^2+4 = 0

-x^2 = -4

x^2 = 4

x = ±√4

x = 2 and -2

Time cannot be negative

Hence x = 2

The path crossed after 2 seconds

Answer:

A. $0.89

Step-by-step explanation:

To find the constant of proportionality, find the cost of one pound of potatoes

3.56/4

= 0.89

So, the constant of proportionality is $0.89

The correct answer is A. $0.89

Answer:

Step-by-step explanation:

Answer:

135 minutes = 2hours and 15 minutes  

Step-by-step explanation:

18/4=4.5

4.5 x 30=135

135/60=

2 remainder = 15

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The information about the triangle will be:

Length of the shorter leg: = 5cm

Length of the longer leg: = 12cm

Length of the hypotenuse: = 13cm

It should be noted that the formula for illustrating the information is:

c² = a² + b²

where c = hypothenuse

The shorter leg = x

Longer leg = x + 7

Hypothenuse = 13

Therefore, c² = a² + b²

13² = x² + (x + 7)²

169 = x² + x² + 14x + 49

169 = 2x² + 14x + 49

169 - 2x² - 14x - 49 = 0

-2x² - 14x + 120 = 0

Multiply through by minus

2x² + 14x - 120 = 0

Divide through by 2

x² - 7x - 60

x² - 12x + 5x - 60

x(x - 12) + 5(x - 12)

Therefore, the smaller length is 5cm and the bigger Length is 12cm

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