evaluate 7.2+4.9+7.49

Answer: this is not equivalent 81-12+7=11

Step-by-step explanation: this is not equal because 81-12 is 69 and 69+7 will give you 76 witch is not equal to 11

Answer:

[see below]

Step-by-step explanation:

\(3x^2-4x+7=11\\\\3(3)^2-4(3)+7=11\\\\3*3^2-12+7=11\\\\3^3-12+7=11\\\\27-12+7=11\\\\27-5=11\\\\\boxed{22\neq 11}\)

3 would not be a solution to the equation.

Hope this helps!

Answer:

Step-by-step explanation:

false

The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.

Slide, twist, flip, and turn these triangles to create an identical appearance.

They are in alignment with one another when moved.

The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.

Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.

Know more about the SAS theorem here:

https://brainly.com/question/22472034

#SPJ4

The length of the walkway in feet is 15.

Any plane shape that has four equal length of sides is referred to as a square. Its area is the amount of space that it covers in a 2 dimensional plane. And the area of a square is given as;

area of a square = length x length

                           = length^2

It is measured in squared units.

Given that there are 5 square carpet tiles which covered an area of 45 square feet, then the area of one square carpet tile is;

area of one square carpet tile = total area covered/ number of tiles

                                     = 45/ 5

area of one square carpet tile = 9 square feet

But,

area of a square = length^2

9 = length^2

length = 3 feet

So that,

length of the walkway = 5 x 3

                                     = 15 feet

Learn more about the area of a square at https://brainly.com/question/11444061

#SPJ1

Answer:

x=-2 x=1

Step-by-step explanation:

There's two correct answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Prime numbers between 20 and 50 are :

\(23 \: , \: 29 \: , \: 31 \: , \: 37 \: , \: 41 \: , \: 43 \: , \: 47\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Arithmetic mean is :

\( \frac{23 + 29 + 31 + 37 + 41 + 43 + 47}{7} = \frac{251}{7} = 35.857 \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

23 , 29 , 31 , 37 , 41 , 43 , 47

The minutes that have passed, m, when Tank A contains the following amounts of water will be:

151 liters = 3 minutes

191.5 liters = 7.5 minutes

270.25 liters = 16.25 minutes

p liters = (p-124) / 9 min

It should be noted that for 151 lit = (151 - 124)/9 = 3 min

Also, for 191.5 lit = (191.5-124) /9

= 67.5/9 = 7.5 min = 7 min 30 sec

It should be noted that for 270.25 lit = (270.25 - 124)/9 = 146.25/9 = 16.25 = 16 min 15 sec

For p lit = (p-124) / 9 min

Learn more about expressions on:

https://brainly.com/question/25968875

#SPJ1

Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

How many minutes have passed, m, when Tank A contains the following amounts of water?

151 liters

191.5 liters

270.25 liters

p liters

Follow • 1

Answer:

H(x) = (x - 5) * (1 - 0.25) = x - 5 - 0.25x = 0.75x - 5

Answer:

The function H(x) that represents how much you would pay if you use the mall coupon followed by applying the discount from the store would be:

H(x) = (x - 5) * 0.75

Step-by-step explanation:

First, we apply the mall coupon by subtracting $5 from the original cost of the jeans represented by x. This gives us the function f(x) = x - 5.

Next, we apply the store discount of 25% by multiplying the result of f(x) by 0.75. This is because 25% expressed as a decimal is 0.25, and to apply a discount, we multiply by the decimal form of the percentage (1 - decimal form).

So, the final function H(x) represents the cost of the jeans after both the mall coupon and store discount have been applied, and is equal to (x - 5) * 0.75.

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for the rate of change

STEP 2: Write the given intervals

STEP 3: Find the average rate of change of f(x)

We substitute the coordinates into the rate of change formula:

STEP 4: Find the rate of change of g(x)

STEP 5: Find the rate of change of h(x)

STEP 6: Write the average rates of change for the functions

The average rates of change in ascending order will be -8,-3,-1

Hence, the arrangement of the functions according to their ascending order of average rates of changes are:

Answer:

no they are not

Step-by-step explanation:

21,13,27,45 are prime numbers

Answer:

13, 43, 23, 39

Step-by-step explanation:

Their only factors are themselves and 1

The objects are chosen depending on shape, pattern and texture.  The chosen objects are arranged such a way that they also have aesthetic appeal and harmonic configuration.

When choosing items for your still life composition, think about whether their shape, texture, or pattern is more significant.

After selecting your items, the next step is to arrange them in an aesthetically acceptable and harmonic configuration.

Take your time positioning them and move around your composition to try other angles. A changed viewpoint frequently causes a significant compositional shift.

Try to arrange the objects so that some of them overlap to make it apparent which is in front of which.

Create links that guide the viewer's attention around the composition.

As you rearrange the items, seek for the pleasant arrangement.

Delete some items and add others.

Once you've found one that suits you, move around and try a few more.

To know more about aesthetics visits:

https://brainly.com/question/24568271

#SPJ4

The age of the mammal hide is 2,231 years old.

Given,

N = NOe^kt

Here

N - amount after t years

No = Original amount

K = 0.0001

t = number of years

Now

\(0.80=1\times e^{-0.0001}t\)

Now Take the logarithm of both sides:

\(log0.80=loge^{-0.0001}t\)

\(-0.0969=-0.0001t\times0.43429\)

\(t=-0.0969\div(-0.0001\times0.43429)\)

t = 2231.23

Learn more about the age here: https://brainly.com/question/17880579

The approximate probability that Maurice will obtain a sample proportion less than 0.06 is 0.2119, rounded to three decimal places.

The population proportion is p = 0.08 since we are aware that the actual percentage of students who have not declared a major is 0.08. We are asked to estimate the likelihood that Maurice will acquire a sample fraction smaller than 0.06 from a simple random sampling of n = 250 students.

The sample proportion p' is a random variable with a mean equal to the population proportion p and standard deviation σ = √(p(1-p)/n). In this case, we have:

p = 0.08

n = 250

σ = √(0.08×(1-0.08)/250)

  = 0.025

To find the probability that p' < 0.06, we can standardize the variable using the standard normal distribution:

z = (p' - p) / σ

z = (0.06 - 0.08) / 0.025

 = -0.8

Using a standard normal distribution table or a calculator, we find that the probability of getting a z-score less than -0.8 is approximately 0.2119.

Therefore, the approximate probability that Maurice will obtain a sample proportion less than 0.06 is 0.2119, rounded to three decimal places.

To learn more about probability, refer to:

https://brainly.com/question/13604758

#SPJ4

Answer:

2m + 8

Step-by-step explanation:

It's rather simple to break it down, take "8 more" as (+ 8) and twice Matt's savings into (2 * m) which then becomes simply (2m). Because of pemdas, your final answer should be 2m first then + 8, so 2m+8

The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

Read more about exponential function at

brainly.com/question/2456547

#SPJ1

Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

The equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x, so option B is correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The time taken to complete the work = 6 hrs,

The no of worker = 4,

The no of workers = The time taken by four workers / no of workers,

w (x) = 6 /4x

w (x) = 1.5x

Therefore, the equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x.

To know more about equation:

https://brainly.com/question/12788590

#SPJ1

The total area of given polyhedron is 68.75 sq. units

The given polyhedron is made up of 1 square, 2 triangles, and 2 rectangles.

Firstly. the dimensions of triangle are -

base = 2.5 units,

height = 3.5 units

area of the triangle = 1/2 × B × H

= 1/2 × 2.5 × 3.5

= 4.375 sq. units

The area of 2 triangles will be - 2 (area of 1 triangle)

⇒ 2× 4.375

= 8.75 sq. units

Area of Rectangle 1 = L × B

Length = 5 units

Breadth = 3 units

Area = 5×3 = 15 sq. units

Area of Rectangle 2 = L × B

Length = 5 units

Breadth = 4 units

Area = 20 sq. units

Area of square = Side²

⇒ 5 × 5

= 25 sq. units

Total area of polyhedron = Area of 2 triangles + Area of 2 Rectangles + Area of square

⇒ 8.75 + 15 + 20 + 25

= 68.75 sq. units

To learn more about area from given link

https://brainly.com/question/25292087

#SPJ9

The Coase theorem is an economic theory that states that in the absence of transaction costs, the allocation of resources and the distribution of wealth will be efficient regardless of how property rights are assigned.

In this context, the theorem reminds us that efficiency is all about maximizing total welfare, rather than focusing solely on the allocation of resources or the distribution of wealth. When transaction costs are low or non-existent, parties can negotiate with each other to reach mutually beneficial agreements that maximize their combined welfare. This means that ownership of property or resources is less important than the ability of parties to freely negotiate with one another.

For example, imagine two neighboring farms: one produces apples and the other produces honey. If the apple farmer's use of pesticides harms the bee population and reduces the honey farmer's production, the honey farmer could demand compensation from the apple farmer. If transaction costs are low, the two farmers could negotiate a solution that is mutually beneficial, such as the apple farmer paying for the honey farmer to relocate their bees to a safer area. In this scenario, the assignment of property rights is not as important as the ability of the two parties to negotiate and reach an agreement that maximizes their total welfare.

Overall, the Coase theorem highlights the importance of considering the broader impacts of economic decisions and recognizing that efficiency depends on maximizing the overall benefits to all parties involved, rather than just focusing on individual outcomes.

Learn more about   cost from

https://brainly.com/question/25109150

#SPJ11

Answer:

first find the area of the big rectangle = 12×14=168

area of the small unshaded rectangle =2×5×6=60

area of the shaded region = 168-60=108

ANSWER

My answer is in the photos above

Answer:

c. The amount of water increases 4 cm^3 each minute

Step-by-step explanation:

Chart:

1     4

2     7

3     10

4     13

5     16

Explanation: You need to keep adding 3 as you go, 3+1 equals 4, 4+3 equals.....

( I'm really bad at explaining stuff but I hope you understand)

Answer:

i see, i see, you don't know what it be, well, i assume you're a busy bee, so quick answer is C.

Step-by-step explanation:

The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.

Step 1: Move all the terms to one side of the equation to set it equal to zero:

2a^2 - 8a + 6 = 0

Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':

a = (-b ± √(b^2 - 4ac))/(2a)

Comparing with our equation, we have:

a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))

Simplifying further:

a = (8 ± √(64 - 48))/(4)

a = (8 ± √16)/(4)

a = (8 ± 4)/(4)

Now, we can calculate the two possible solutions:

a1 = (8 + 4)/(4) = 12/4 = 3

a2 = (8 - 4)/(4) = 4/4 = 1

Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.

For more question on quadratic visit:

https://brainly.com/question/1214333

#SPJ8

Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).

Conditional demand for x1 can be derived as:

∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)

Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.

∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)

Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))

The cost function of the firm is

c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)

In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.

(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0

x1 = (3/4) * y^(1/3)

On substituting the value of x1 in the cost function, we get:  

To know more about production visit:

https://brainly.com/question/31859289

#SPJ11

Step-by-step explanation:

2/5 oz. for 1 cup

40 oz for x cups

2/5x = 40

x = 100 cups

m = 0

Step-by-step explanation:

If it's written in y =mx + c form, x is 0 and so is m.

Thus, m should be 0

(1) The expected time between successive bites is 10 seconds.

(2) The expected value is 2.5ml and variance is 1.25ml² of your blood loss from this mosquito.

(1) Let T = time between successive mosquito bites.

We want to find E(T), the expected value of T.

where, T = geometric random variable with parameter p = 0.5×0.2 = 0.1, since the time between successive mosquito bites follows a geometric distribution with success probability p = 0.1,

The probability mass function of T is given by:

P(T = t) = \((a-p)^{t-1}\)×p, for t = 1, 2, 3, ...

The expected value of T is written as:

⇒ E(T) = 1/p

⇒ E(T) = 1/0.1 = 10,

So, expected time between successive mosquito bites is 10 seconds.

(2) Let X = amount of blood drained from a mosquito bite.

Since X is = discrete uniform random variable on {1,2,3,4},

⇒ P(X = 1) = P(X = 2) = P(X = 3) = P(X = 4) = 1/4,

⇒ E(X) = Σx P(X = x)

⇒ E(X) = 1×(1/4) + 2×(1/4) + 3×(1/4) + 4×(1/4) = 2.5

So, the expected value of blood loss from a mosquito bite is = 2.5 ml.

The variance of X is given by:

⇒ Var(X) = E(X²) - [E(X)]²,

To calculate E(X²),

We have,

⇒ E(X²) = Σx (x²)×P(X = x)

Substituting the values,

We get,

⇒ E(X²) = 1²×(1/4) + 2²×(1/4) + 3²×(1/4) + 4²×(1/4) = 15/4,

Substituting into formula for variance,

We get,

⇒ Var(X) = 15/4 - (2.5)² = 5/4 = 1.25.

Therefore, the variance of blood loss from a mosquito bite is 1.25 ml².

Learn more about Variance here

https://brainly.com/question/29253308

#SPJ4

The equation in spherical coordinates is a) 3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

b) 2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

a) The equation in Cartesian coordinates is 3x² - 2x + 3y² - 3z² = 0. To convert to spherical coordinates, we use the following substitutions:

x = ρsinϕcosθ

y = ρsinϕsinθ

z = ρcosϕ

Substituting these values into the Cartesian equation gives:

3(ρsinϕcosθ)² - 2(ρsinϕcosθ) + 3(ρsinϕsinθ)² - 3(ρcosϕ)² = 0

3ρ²sin²ϕcos²θ - 2ρsinϕcosθ + 3ρ²sin²ϕsin²θ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ(cos²θ + sin²θ) - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

Simplifying and dividing by ρ² gives:

3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

(b) The equation in rectangular coordinates is 2x + 4y + 5z = 1. To write it in spherical coordinates, we use the same conversion formulas as before:

2(ρsinφcosθ) + 4(ρsinφsinθ) + 5(ρcosφ) = 1

Simplifying and dividing by ρ, we get:

2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

This is the equation in spherical coordinates.

Learn more about spherical coordinates here

https://brainly.com/question/32087384

#SPJ4

Answer:

Step-by-step explanation:

\(\dfrac{3m^{-1}y^{2}}{m^{-2}}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{my^{2}}{m^{-1}x^{2}}\\\\=3m^{-1-[-2]}y^{2} - \dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1-[-1]}y^{2}}{x^{2}}\\\\=3m^{-1+2}y^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{1+1}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{5m^{2}y^{2}}{x^{2}}+\dfrac{m^{2}y^{2}}{x^{2}}\\\\=3my^{2}-\dfrac{4m^{2}y^{2}}{x^{2}}\)