10 points !!

Which expression is equivalent to this polynomial x^2+12

Answer:

Area of parallelogram = base x height

4.6 x 8.7 = 40.2 yd^2

Hope that answers your question

Step-by-step explanation:

Answer:

Step-by-step explanation:

This doesn’t make sense

Answer:

its easy

Step-by-step explanation:

you should change all into degrees

The equation is, 4x - y = -5

The equation is, x + 2y = 6

The equation is, \(\(y = -\frac{3}{4}x + \frac{29}{4}\)\)

The equation is, y = -2x + 5

What is standard form of equation of line?

When A and B are not both zero, a line has the usual form Ax + By = C. The standard form of equation with slope and the point is,\(\(y - y_{1} = m(x - x_1)\)\) ...(1)

1. Given:\(\(x_1 = -3, y_1 = -7, m = 4\)\)

Plug these values in the above equation,

\(\(y - (-7) = 4(x - (-3)\\ y + 7 = 4(x + 3)\\\\y + 7 = 4x + 12\\y = 4x + 5\\\\4x - y = -5\)\)

This is the equation in standard form of line.

2. Given:

\(\(x_1 = 10, y_1 = -2, m = -\frac{1}{2}\)\)

Plug these values in the equation (1),

\(\(y - (-2) = -\frac{1}{2} (x - 10)\\y + 2 = -\frac{1}{2} x + 5\\\)\)

Multiply both sides by 2.2y + 4 = -x + 10x + 2y = 6

This is the equation in standard form of line.

3. Given:

\(\(x_1 = -1, y_1 = 8, m = -\frac{3}{4}\)\)

Plug these values in the equation (1),\(\(y - 8 = -\frac{3}{4}(x - (-1))\\ y -8 = -\frac{3}{4}(x + 1)\\ y - 8 = -\frac{3}{4}x - \frac{3}{4}\)\(y = -\frac{3}{4}x -\frac{3}{4} + 8\\ y = -\frac{3}{4}x + \frac{29}{4} \\\)\)

This is the equation in point slope form.

4. Given:\(\((x_1, y_1) = (-3, 11), (x_2, y_2) = (6, -7)\)\)

First to find the slope from the given two points.

\(\(m = \frac{y_2 - y_1}{x_2 - x_1} \\m = \frac{-7-11}{6-(-3)}\\ m = \frac{-18}{9\\}\\ m = -2\)\)

Now plug m = -2 and one of the given point in the equation (1), we ge\(t\(y - 11 = -2(x - (-3))\\y - 11 = -2(x + 3)\\y - 11 = -2x - 6\\y = -2x + 5\)\)

This is the equation in slope intercept form.

To know more about the standard form of equation of line

https://brainly.com/question/26238391

#SPJ13

The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

In a lab experiment, the decay of a radioactive isotope is being observed.

At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.

\(a_n=a_1r^{n-1}\)

Use the given value in the formula so we get,

\(a_{13}=1100(0.9)^{13-1}\)

Simplify the given term

\(a_{13}=310.7\)

Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.

To learn more about the nth term visit:

https://brainly.com/question/7882626

Answer:

389

Step-by-step explanation:

Answer:

B, C, E

Step-by-step explanation:

Elena’s aunt pays her $1 for each call she makes to let people know about her aunt’s new business. The table shows how much money Diego receives for washing windows for his neighbors.

Select all the statements about the situation that are true.

A. Elena makes more money for making 10 calls than Diego makes for washing 10 windows.

Elena:

$1 = 1 call

$10 = 10 calls

Diego:

27 windows = $30

10 windows = $x

Cross product

27*x = 30*10

27x = 300

x = 300/27

x = $11.11

Statement A not true

B. Diego makes more money for washing each window than Elena makes for making each call.

Diego:

10 windows = $11.11

Each window = $11.11/10

= $1.11

Statement B is true

C. Elena makes the same amount of money for 20 calls as Diego makes for 18 windows

Elena:

20 calls = $20

Diego:

18 windows = 18 × $1.11

= $19.98

Approximately $20 to the nearest whole dollar

Statement C is true

D. Diego needs to wash 35 windows to make as much money as Elena makes for 40 calls.

Diego

35 × $1.11 = $38.85

Approximately $39

Elena:

40 calls = $40

Statement D is not true

E. The equation y = x, where y is the number of dollars and x is the number of calls, represents Elena’s situation.

Statement E is true

Given the expression:

2.5x

Let's determine the situation which best represents the expression.

Let's start from the first statement:

• A. The total amount of change received to pay for an item that cost $2.50:

The best representation for this is: C = A - 2.50

Where A is the amount paid, C is the amount of change.

• B. The area of a rectangle with side lengths 2.5 and x:

The best representation for this situation is:

2.5x

• C. The total cost of an item that is 2.50 more than x dollars:

T = 2.50 + x

• D. The total square footage of a yard when 2.50 yards is divided into equal parts:

This expression cannot be represented by 2.5x

Therefore, the situation which can be represented by the expression 2.5 is:

The area of a rectangle with side lengths 2.5 and x

ANSWER:

B. The area of a rectangle with side lengths 2.5 and x

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

For more such question on fraction

https://brainly.com/question/17220365

#SPJ8

Answer:

57.1 degrees

Step-by-step=

32.9+90=122.9

180-122.9=57.1

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

To know more about differential equation:

https://brainly.com/question/32524608

#SPJ4

Answer:

2350000000

Step-by-step explanation:

Answer:

actual answe is root under 2

Answer:

CD = 48

Step-by-step explanation:

Find the value of x using the two equations

9x - 15 = 7x - 1

9(7) - 15 = 7(7) - 1

63 - 15 = 49 - 1

48 = 48

Answer: x = 7

Then get the result of both equations

CD = 48

The length of CD is 48 units.

Isosceles triangles are those triangles which has the length of two sides or angles are equal to each other.

Given triangle ABC is an isosceles triangle since the length of sides AB and BC are given to be equal.

BD is the altitude of the triangle from the vertex B.

We know that, altitude of an isosceles triangle from the non equal angle bisect the opposite side, which is base.

So, AC is bisected at D.

AD = CD

9x - 15 = 7x - 1

Solving,

9x - 7x = -1 + 15

2x = 14

x = 7

Length of CD = 7x - 1 = 49 - 1 = 48

Hence 48 units is the length of CD.

Learn more about Isosceles Triangles here :

https://brainly.com/question/12794645

#SPJ2

Answer:

3

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

The given rectangular prism has sides that have values of 3/2 (Decimal: 1.5), 4, and 1/2 (Decimal: 0.5).

So using the formula:

L × W × H

We can calculate:

V=whl=4·1.5·0.5=3

Answer: 3 cm³

Step-by-step explanation:

    We will use the proper formula to solve for the volume of the rectangular prism. This is found by multiplying the length, by the width, by the height.

\(\displaystyle V =L*W*H\\\)

\(V=4\;cm*\frac{3}{2} \;cm*\frac{1}{2} \;cm\)

\(\displaystyle V=\frac{4*3*1}{1*2*2} \; cm^3\)

\(\displaystyle V=\frac{12}{4} \;cm^3\)

\(\displaystyle V=3\;cm^3\)

    Read more about finding the volume of a rectangular prism here:

https://brainly.com/question/21417192

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

To know more about normal distribution  visit :

https://brainly.com/question/23418254

#SPJ11

Answer:

I think it's d I'm not sure tho

Answer:

B

Step-by-step explanation:

I'm pritty sure it is B hopefully this helps.

Answer:

152

Step-by-step explanation:

360-(118+54)

Answer:

90°

Step-by-step explanation:

Taking ΔVWX :

The equation that has 2 as its root is 2x² - 7x + 6 = 0 (option c)

Suppose we are given a quadratic function f(x) = ax² + bx + c, then x = q is a root if f(q) = 0.

Let's check for the given functions:

a.  x² - 4x + 5 = 0

f(2) =  2² - 4(2) + 5

f(2) = 4 - 8 + 5 = 1

Since f(2) ≠ 0, hence 2 is not its root.

b. x² + 3x - 12 = 0

f(2) = 2² + 3(2) - 12

f(2) = 4 + 6 - 12 = -2

Since f(2) ≠ 0, hence 2 is not its root.

c. 2x² - 7x + 6 = 0

f(2) = 2(2)² - 7(2)+ 6

f(2) = 2(4) - 14 + 6 = 0

Hence, x = 2 is its root.

d. 3x² - 6x - 2 = 0

f(2) = 3(2)² - 6(2) - 2

f(2) = 12 - 12 - 2 = -2

Since f(2) ≠ 0, hence 2 is not its root.

Hence, the correct option is   2x² - 7x + 6 = 0 (option c)

Learn more about quadratic equation here:

https://brainly.com/question/8649555

#SPJ4

Answer:

(-2,4)

radius = 5

Step-by-step explanation:

Center is (-2,4) using the equation given

Radius is 5

Answer:

El coste de producir un juego de vídeo es de 125 dólares.

Step-by-step explanation:

(This exercise is written in Spanish and is incomplete. Complete statement will be presented below)

El costo de producir 10 juegos de video al día es de 350 dólares , mientras que producir 30 juegos del mismo tipo al día cuestan 850 dólares . Si suponemos un modelo lineal como el descrito anteriormente , determine:

¿Cuál es el costo de producir un juego de vídeo?

(Explanation will be held in Spanish)

El modelo lineal es un polinomio de primer orden de la forma:

\(y = a\cdot x + b\)

Donde:

\(x\) - Variable independiente (eje x - Cantidad de juegos de vídeo producidos - Adimensional)

\(y\) - Variable dependiente (eje y - Coste de producción de juegos de vídeo - Dólares)

\(a\) - Pendiente de la función.

\(b\) - Intercepto en el eje y.

Dados los dos costes para dos cuotas distintas de producción, se construye el siguiente sistema de ecuaciones lineales:

\(10\cdot a + b = 350\)

\(30 \cdot a + b = 850\)

Se resuelve el sistema con algo de manipulación algebraica:

\((30\cdot a + b) - (10\cdot a + b) = 850 - 350\)

\(20 \cdot a = 500\)

\(a = 25\)

Luego:

\(b = 850 - 30\cdot a\)

\(b = 100\)

La ecuación lineal es:

\(y = 25\cdot x +100\)

Finalmente, el coste de producir un juego de vídeo es:

\(y = 25 \cdot (1) + 100\)

\(y = 125\)

El coste de producir un juego de vídeo es de 125 dólares.

(a) The population proportion of success in this scenario is 0.57 or 57%.
(b) To calculate the mean of the sampling distribution of the sample proportion, we use the formula: mean = population proportion = 0.57. Therefore, the mean of the sampling distribution is 0.57.

(c) To calculate the standard deviation of the sampling distribution of the sample proportion, we use the formula: standard deviation = sqrt((population proportion * (1 - population proportion)) / sample size). Plugging in the values, we get: standard deviation = sqrt((0.57 * 0.43) / 65) = 0.079

Therefore, the standard deviation of the sampling distribution of the sample proportion of people for whom the shot was effective is 0.079 (rounded to three decimal places).

To know more about population proportion visit :-

https://brainly.com/question/28478462

#SPJ11

unless posted otherwise,  the speed limit when passing a school building or school grounds when children are present will be 25 mph.

A typical school zone speed limit in many US states is between 15 mph and 25 mph (25 and 40 km/h) except if generally posted. Oftentimes, school zone signs have the "When kids are available" notice.

This is illuminated in California's vehicle code section 22352(2), which expresses that the 25 mph limit "will likewise apply while drawing nearer or passing any school grounds which are not separated from the thruway by a wall, entryway, or one more actual hindrance while the grounds are being used by kids and the expressway is posted with a norm "SCHOOL" cautioning sign."

The law likewise applies to streets close to senior focuses with a posted "senior" cautioning sign.

to know more about speed click here:

https://brainly.com/question/13943409

#SPJ4

Step-by-step explanation:

\( \frac{ \sin(81) }{51} = \frac{ \sin(b) }{11} \\ \sin(b) = 0.213 \\ b = 12.3 \: degrees = 12 \: degrees\)

If If z² is directly proportional to x³ and z=8 when x=4 then value of z is 27

If z² is directly proportional to x³, then we can write:

z² = kx³

where k is the constant of proportionality.

To solve for k, we can use the given information that z=8 when x=4:

8² = k(4³)

64 = 64k

k = 1

So now we have:

z²= x³

To find the value of z when x=9, we can substitute into the equation:

z² = 9³ = 729

Taking the square root of both sides, we get:

z = ±27

z = 27

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ1

The number of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

Let x be no . of hours spent washing car and y be no . of hours spent in landcaping .

According to question ,

x + y = 14                         ....... eqn ( 1 )

( 10 * x ) + ( 12 * y ) = 152

10 x + 12 y = 152                     ...... eqn ( 2 )

Solving linear eqn in 2 variable

Mult . eqn ( 1 ) by 10 ,

10 x + 10 y = 140                           ....... eqn ( 3 )

Subtracting eqn ( 2 ) from eqn ( 3 ) we get ,

( 10 x + 10 y ) - ( 10 x + 12 y ) = 140 - 152

- 2 y = - 12

y = 6

Substituting value of y in eqn ( 1 )

x = 8

Hence , the no . of hour Jackon worked washing car last week = 8 hours and no . of hours he spent on landcaping = 6 hours .

To learn more on linear equations follow link :

https://brainly.com/question/2030026

#SPJ4

Answer:

\(120^{0}\)

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × \(180^{0}\)

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)

                                                = 3  × \(180^{0}\)

                                                = \(540^{0}\)

Sum of angles in a pentagon is \(540^{0}\).

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

\(540^{0}\) - (2 × \(90^{0}\))  = \(540^{0}\) - \(180^{0}\)

                       = \(360^{0}\)

So that;

the measure of the interior angle = \(\frac{360^{0} }{3}\)

                                                        = \(120^{0}\)

The measure of one of its three congruent interior angles is \(120^{0}\).