put the following inequality into slope-intercept form. 6x + 10y is greater than or equal to 75.

Surface area of a square pyramid:

To find the surface area of the given pyramid as you don't have the length of the slant height, use the height of the pyramid and the radius of the base to form a right triangle and find the slant height:

Pythagorean theorem for the right triangle above:

Perimeter of the base is:

Area of the square base:

Then, the surface area of the given pyramid is

Answer:

10:15:12

Step-by-step explanation:

c:g:t

2:3:3

5:5:4

10:15:12

The line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1, 1), and the line segment from (1,1) to (0,1) is equal to 2/5.

What is integral?

The value obtained after integrating or adding the terms of a function that is divided into an infinite number of terms is generally referred to as an integral value.

To evaluate the line integral using Green's theorem, we need to find a vector field F = (P, Q) such that ∇ × F = Qₓ - Pᵧ, where Qₓ represents the partial derivative of Q with respect to x, and Pᵧ represents the partial derivative of P with respect to y.

Let's consider F = (P, Q) = (x²y², xy).

Now, let's calculate the partial derivatives:

Qₓ = ∂Q/∂x = ∂(xy)/∂x = y

Pᵧ = ∂P/∂y = ∂(x²y²)/∂y = 2x²y

The curl of F is given by ∇ × F = Qₓ - Pᵧ = y - 2x²y = (1 - 2x²)y.

Now, let's find the line integral using Green's theorem:

∫[C] (Pdx + Qdy) = ∫∫[R] (1 - 2x²)y dA,

where [R] represents the region enclosed by the curve C.

To evaluate the line integral, we need to parameterize the curve C.

The arc of the parabola y = x² from (0, 0) to (1, 1) can be parameterized as r(t) = (t, t²) for t ∈ [0, 1].

The line segment from (1, 1) to (0, 1) can be parameterized as r(t) = (1 - t, 1) for t ∈ [0, 1].

Using these parameterizations, the region R is bounded by the curves r(t) = (t, t²) and r(t) = (1 - t, 1).

Now, let's calculate the line integral:

∫∫[R] (1 - 2x²)y dA = ∫[0,1] ∫[t²,1] (1 - 2t²)y dy dx + ∫[0,1] ∫[0,t²] (1 - 2t²)y dy dx.

Integrating with respect to y first:

∫[0,1] [(1 - 2t²)(1 - t²) - (1 - 2t²)t²] dt.

Simplifying:

∫[0,1] [1 - 3t² + 2t⁴] dt.

Integrating with respect to t:

[t - t³ + (2/5)t⁵]_[0,1] = 1 - 1 + (2/5) = 2/5.

Therefore, the line integral ∫[C] (Pdx + Qdy) over the given curve C consisting of the arc of the parabola y = x² from (0,0) to (1,1), and the line segment from (1,1) to (0,1) is equal to 2/5.

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Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

Answer:

A)90/100 x 500

C) C.0.90 x 500

Step-by-step explanation:

You can't with B since 90/10 doesn't account for percentage

Brainliest pls

hello

the answer to the question is:

A + B = 16

A - B = 2

----> A = 9, B = 7

and the number between them is 8

In context of "group-diversity", a contributor is "data-driven", supplies the "necessary-information", and adheres to the high "performance-standards".

They actively contribute to the group's goals and objectives, bringing their expertise, skills, and knowledge to the table. A contributor may provide valuable insights and data-driven analysis regarding diversity-related matters, helping the group make informed decisions and take appropriate actions.

They are committed to achieving high performance standards and consistently deliver quality work. In the context of diversity, a contributor may actively participate in promoting inclusivity, supporting diverse perspectives, and advocating for equal opportunities within the group or organization.

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In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and one.

What is scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and 1.

The image is contracted if the scale factor is less than 1 (0< k <1).

The image is enlarged if the scale factor is more than 1 (k > 1).

The image remains the same if the scale factor is 1 (k = 1).

Hence, the scale factor k should be between 0 and 1.

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The number of Nickels is 18 and the Number of Quarter is 23    

To find an unknown value in the given problem we use Linear Equation. In this to represent the unknown number use variables and we will form a Linear equation according to the given question. Here we need to solve the equation for the required value.  

Here we have

There are some nickels and quarters in a pocket

Since we don't know the number of nickels and quarters

Let x be the number of nickels and y be the number of quarters  

As we know 1 Nickel = 5 cents and 1 Quarter = 25 cents

=> The total amount in pocket = 5x + 25y -----(1)

Given that

The number of quarters is 13 less than twice the number of nickels,

=> y = 2x - 13 -----(2)

Substitute (2) in (1)

=> 5x + 25(2x - 13)

=> 5x + 50x - 325

=> 55x - 325

Given that the total amount in pocket = $ 6.65 = 665 cents

=> 55x - 325 = 665 cents

=> 55x = 990

=> x = 18  

From (2)

=> y = 2(18) - 13  

=> y = 36 - 13

=> y = 23  

Therefore,

The number of Nickels is 18 and the Number of Quarter is 23      

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The cost described in the scenario is an example of a mixed cost.

A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.

On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.

By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.

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Answer:

Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.  

Step-by-step explanation:

Given:

Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.

To find:

The perimeter of the cardboard in terms of x and y.

Solution:

We know that, perimeter of a rectangle is

\(Perimeter=2(length +width)\)

Now,

\(Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)]\)

On combining like terms, we get

\(Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)]\)

\(Perimeter=2[21.2x +37.1y]\)

using distributive property, we get

\(Perimeter=2(21.2x) +2(37.1y)\)

\(Perimeter=42.4x+74.2y\)

Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.

There is enough evidence to reject the research center's claim.

The rejection region is on the left side of the critical value(s).

The standardized test statistic z is calculated as follows: z = (p - P) / sqrt((P * (1 - P)) / n), where p is the sample proportion, P is the claimed proportion, and n is the sample size.

Explanation:

In this problem, the research center claims that at least 30% of adults in a certain country think their taxes will be audited. To test this claim, we take a random sample of 700 adults in that country, and 25% of them say they are concerned that their taxes will be audited.

To determine if there is enough evidence to reject the research center's claim, we need to conduct a hypothesis test. We set up the null hypothesis (H0) as "p = 0.30" and the alternative hypothesis (Ha) as "p < 0.30," where p represents the population proportion of adults who think their taxes will be audited.

To find the critical value(s), we need to determine the significance level (alpha) first. Given that alpha is 0.05, a standard significance level often used in hypothesis testing, we look up the critical value associated with this significance level in the standard normal distribution table or use a statistical calculator. In this case, the critical value is approximately -1.645 (for a one-tailed test on the left side).

Next, we identify the rejection region, which is on the left side of the critical value. Any test statistic that falls in this region would lead us to reject the null hypothesis in favor of the alternative hypothesis.

To find the standardized test statistic z, we use the formula mentioned above. Substituting the given values, we have z = (0.25 - 0.30) / sqrt((0.30 * (1 - 0.30)) / 700). By calculating this expression, we find that the standardized test statistic z is approximately -1.03.

Comparing the standardized test statistic to the critical value, we find that -1.03 is greater than -1.645. Since the standardized test statistic does not fall in the rejection region, we do not have enough evidence to reject the null hypothesis.

In conclusion, at a significance level of 0.05, there is not enough evidence to reject the research center's claim that at least 30% of adults in the country think their taxes will be audited.

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My age is 2 years from the given condition.

Given that, if you square my age and subtract 28 times my age, the result is 60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be my age.

Now, square my age is x²

28 times my age =28x

The square of my age and subtract 28 times my age, the result is 60.

x²-28x=60

⇒ x²-28x-60=0

⇒ x²+30-2x-60=0

⇒ x(x+30)-2(x+30)=0

⇒ (x+30)(x-2)=0

⇒ x=2

Hence, my age is 2 years from the given condition.

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Step-by-step explanation:

5. 1/9

plz mark my answer as brainlist plzzzz.hope this will be helpful to you.

☺️

Answer:

Since x=3 and y=2, plug into the equation.

4(3)²-2(2)

= 4(9)-4

= 36-4

= 32

Answer:

1 +6 x + 12 x 2 + 8x 3

Explanation:

We must use our knowledge of the binomial expansion:

Method 1:

We can use:

(

x

+

1

)

n

=

1

+

n

x

+

n

(

n

−

1

)

2

!

x

2

+

n

(

n

−

1

)

(

n

−

2

)

3

!

x

3

+

...

Substituting  

n

=

3

and  

x

for  

2

x

⇒

(

2

x

+

1

)

3

=

1

+

(

3

⋅

2

x

)

+

3

⋅

2

2

!

⋅

(

2

x

)

2

+

3

⋅

2

⋅

1

3

!

⋅

(

2

x

)

3

=

1

+

6

x

+

12

x

2

+

8

x

3

Method 2:

We can use:

(

A

+

B

)

n

=

A

n

+

(

n

1

)

A

n

−

1

B

1

+

(

n

2

)

A

n

−

2

B

2

+

...

Letting  

A

=

2

x

and

B

=

1

for this circumstance:

(

2

x

+

1

)

3

=

(

2

x

)

3

+

(

3

1

)

(

2

x

)

2

(

1

)

+

(

3

2

)

(

2

x

)

1

(

1

)

2

+

(

3

3

)

(

2

x

)

0

(

1

)

3

=

8

x

3

+

12

x

2

+

6

x

+

1

Step-by-step explanation:

True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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Answer:

n = -5

Step-by-step explanation:

-2(-7n-8)=-39+3n

Distribute

14n +16 = -39 +3n

Subtract 3n from each side

14n -3n +16 = -39 +3n -3n

11n +16 = -39

Subtract 16 from each side

11n +16 -16 = -39 -16

11n = -55

divide by 11

11n /11 = -55/11

n = -5

The table represents the exponential function as f(x) = a(b)^3

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Here we have the table:

Year       number of new college programs

2005     3

2006     22

2007     27

2008     66

2009     100

Few things that are useful to identify this as an exponential equation are:

f(x) = a(b)^3

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Answer:

see explanation

Step-by-step explanation:

(i)

∠ AOB is a straight line , straight angle = 180°

(ii)

∠ ZOB = c = 23°

(iii)

∠ XOY = b = 33°

(iv)

∠ AOY = a + b = 74° + 33° = 107°

(v)

∠ YOZ = x = 180° - (a + b + c)

                 = 180° - (74 + 33 + 23)°

                 = 180° - 130°

                 = 50°

The solution of the trigonometric equation is x = 71.57°

A trigonometric equation is an equation that contains the trigonometric ratios sin, cos, tan, cosec, sec and cot.

Given the trigonometric equation 0 ≤ x ≤ pi/2 and sin x = 3 cos x

To find the value of x, we proceed as follows

To solve the trigonometric equation, we proceed as follows.

Since we have

sin x = 3 cos x

We divide both sides of the equation by cosx. So, we have that

sinx = 3cosx

sinx/cosx = 3cosx/cosx

sinx/cosx = 3

We know that from trigonometric ratios sinx/cosx = tanx.

So, substituting this into the equation, we have that

tanx = 3

To find x, we take the inverse tan of both sides. so, we have that

tanx = 3

tan⁻¹tanx = tan⁻¹(3)

x = tan⁻¹(3)

x = 71.565°

x ≅ 71.57°

So, the solution is x = 71.57°

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9514 1404 393

Answer:

  (3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

The second equation gives a nice expression for x, so we can use that in the first equation.

  2(y+2) -3y = 3 . . . . substitute for x in the first equation

  2y +4 -3y = 3 . . . . . eliminate parentheses

  -y = -1 . . . . . . . . . . . collect terms, subtract 4

  y = 1 . . . . . . . . . . . . multiply by -1

  x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

Answer: their difference in elevation is 188 feet

Step-by-step explanation:

The marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity), as calculated using the conservation of momentum principle.

The conservation of momentum principle can be used to resolve this issue. The initial momentum of the system (marksman plus gun) is zero, and the final momentum is also zero because the bullet and the marksman have equal and opposite momenta. Therefore, we can write:

initial momentum = final momentum

\(0 = (M + m) * V + m * v\)

where M is the mass of the gun, m is the mass of the bullet, V is the velocity of the gun after firing, and v is the velocity of the bullet after firing (which is 181 m/s in this case).

Solving for V, we get:

\(V = - m * v / (M + m)\)

= \(\frac{- 0.014 kg * 181 m/s}{(4.00 kg + 0.014 kg)}\) ≈ -0.63 m/s

Therefore, the marksman's velocity after firing the gun is about -0.63 m/s (in the opposite direction of the bullet's velocity).

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Answer:

\(\boldsymbol{2.5}\)

Step-by-step explanation:

Hi student! Let me help you out on this question.

____________

- - - - - - - - - - - - - - -

 When rounding numbers, it's important that you remember these two rules:

  \(\boldsymbol{3.51=== > 3.5}\) (Rounded to 1 D.P.)

     2. If the digit you are asked to round is followed by a digit

          greater than or equal to 5, you round up. An example is given

             below.

\(\boldsymbol{6.25=== > 6.3}\)

\(\boldsymbol{2.16=== > 2.2}\)

                                     ↪

Now that we know these two rules, let's round the given number.

\(\boldsymbol{2.51=== > ?}\)

The digit we are asked to round to (5) is followed by a number less than 5.

\(\sf{\therefore,\:we\:round\:down.}\)

Thus,

\(\boldsymbol{2.51=== > \not? \:2.5}\). Which is our answer.

Hope that this helped you out! Have a nice day ahead.

Best Wishes!

◈◈-Greetings!-◆◆

- - - - - - - - - - - - - -

___________________

Answer:

B

Step-by-step explanation:

Answer:

A. A worker with 1700 hours of training is paid $40 per month

Step-by-step explanation:

Given : the table of hours of training and monthly pay

To find : meaning of h(40)=1700

Answer : here 40 is given under hours of training and 1700 is given under monthly pay.

So, h(40)=1700 means the workers with 40 hours of training is paid $1700 every month

Answer: 8/9

Step-by-step explanation: Math in the image