The Collins family just bought 4 crates of eggs, and each crate had 18 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answer:

32\(n^{2}\) + 136n − 220

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Answer:

It will take her 170.3 minutes to run the entire marathon

Step-by-step explanation:

Use dimensional analysis, the miles will cancel out.

\(\frac{26.2 mi}{1}\) ×  \(\frac{32.5 min}{5 mi}\) =  \(\frac{26.2(32.5)}{5}\)min = 170.3 min

Answer:

See below

Step-by-step explanation:

Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.

A) Plug in -5 to all x values

   f(-5)=10(-5)-3

          ==50-3

    f(-5)= -53

B) f(0)=10(0)-3

    f(0)= -3

C) f(7)=10(7)-3

         =70-3

    f(7)=67

D) f(t^2+2)=10(t^2+2)-3

                 =10t^2+20-3

     f(t^2+2)=10t^2+17

E) f(12-x)=10(12-x)-3

              =120-10x-3

    f(12-x)=117-10x

F) f(x+h)=10(x+h)-3

             =10x+10h-3

Answer:

12 is the best answer

I think

Answer: 5/12

Here is a really quick way to divide fractions. In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign:

1/6 x 2/5

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

The complete answer is below (simplified to the lowest form):

1x5 / 6x2 = 5/12

Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

5/12 = 0.4167

Answer: 5/12

Step-by-step explanation: When solving this equation you are going to have to use a method called keep, change, flip. you would keep \(\frac{1}{6}\) , change the division symbol to multiplication (because multiplication is the opposite of division) and flip \(\frac{2}{5}\) to \(\frac{5}{2}\).

Answer:

7.55x\(10^{-1}\)

Step-by-step explanation:

Brainliest please

Answer:

7.55 × 10-1

hope this helps

Answer:

Step-by-step explanation:

The number of sick birds grew by a factor of 4 each week.  In other words, the number of sick birds quadrupled each week.

The present age of Paul is 52 years and the present age of Matt is 10 years.

We are given that two years ago, Paul =  7 times as Matt

Let the current age of Matt be x and of Paul be y

2 years ago, we will have that:

Age of Matt = x - 2

So, we get the equation as:

Age of Paul = 7 ( x - 2) = 7 x - 14

y - 2 = 7 x - 14

y = 7 x - 14 + 2

y = 7 x - 12

Also, we are given that to year from now, Paul = five times Matt

We get that:

y + 2 = 5 ( x + 2)

y + 2 = 5 x + 10

y = 5 x + 10 - 2

y = 5 x + 8

So, we get:

7 x - 12 = 5 x + 8

7 x - 5 x = 8 + 12

2 x = 20

x = 20 / 2

x = 10

y = 5 (10) + 2

y = 50 + 2

y = 52

Therefore, the present age of Paul is 52 years and the present age of Matt is 10 years.

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For the first system of equations,  -x - 2y = 6 and x - 2y = 6, the equations are the same. 

They both have the same left-hand side. The right-hand side is 6.

Hence, the system has infinitely many solutions.

To check this, you can solve the system as shown:

x - 2y = 6 (add x to both sides to get x alone)x = 2y + 6. -x - 2y = 6 (substitute x = 2y + 6) -(2y + 6) - 2y = 6 (-2y terms add up to -4y) -2y - 2y = 6 + 6 - 6 (-6 is added to both sides) -4y = 6 (dividing both sides by -4) y = -6/4 = -3/2.

Substitute y = -3/2 in x = 2y + 6 to get x.x = 2(-3/2) + 6 = -3 + 6 = 3.

Therefore the solution is (3,-3/2).For the second system of equations,  x - 3y + 9 = 0 and -x + 3y = 9. Add the equations to eliminate x. You have, -3y + 3y + 9 = 0 + 9. 9 = 9. This is a true equation.

The variables cancelled out, and you ended up with a true equation.

Hence, the system has infinitely many solutions.

To check this, you can solve the system as shown:

x - 3y + 9 = 0 (add 3y to both sides)x + 9 = 3y (-3y to both sides) y = (x + 9)/3. -x + 3y = 9 (substitute y = (x+9)/3) -x + 3((x+9)/3) = 9 -x + x + 27/3 = 9 27/3 = 9. This is a true equation.

Hence the system has infinitely many solutions. They must satisfy the following equation: y = (x + 9)/3.

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The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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Answer:

A is the answer

Step-by-step explanation:

Answer:

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Step-by-step explanation:

The two column proof is presented as follows;

Statement  \({}\)                               Reason

1. ∠SWT ≅ ∠TWU \({}\)                    Given

2. m∠SWT + m∠TWU = 180°  \({}\)  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° \({}\)    Substitution

4. m∠SWT = 90°  \({}\)                      Algebra

5. \(\underset{TV}{\leftrightarrow }\)⊥ \(\underset{SU}{\leftrightarrow }\) \({}\)                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines \(\underset{TV}{\leftrightarrow }\) and \(\underset{SU}{\leftrightarrow }\) m∠SWT = 90°, therefore, the lines \(\underset{TV}{\leftrightarrow }\) and \(\underset{SU}{\leftrightarrow }\) are perpendicular to each other.

Answer:

Step-by-step explanation:

By triangle sum theorem,

73°+ 39° + m∠1 = 180°

m∠1 = 180° - 102°

m∠1 = 78°

Since, m∠1 = m∠2 [Vertically opposite angles]

m∠2 = 78°

Sum of interior angles of a polygon = (n - 2)×180°

Where n = number of sides of the polygon

Sum of the interior angles of a quadrilateral = (4 - 2)×180°

= 360°

Therefore, 77° + m∠3 + 90° + m∠2 = 360°

77° + m∠3 + 90° + 78° = 360°

m∠3 = 360° - 245°

m∠3 = 115°

An equation that can be used to find the probability, p, that the person is also a female  given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)

For given question,

The audience of the magic show is conformed by a total of 120 people, 52 of which are female and 68 are men.

Within the audience there is a school class of 37, of these students, 17 are female and 20 are male.

First we find the probability of selecting a student from the class in all audiences.

P(A) = 37/120

Now, the probability that the selected student is female student:

P(B) = 17/120

We need to write an equation for combined probability which is given by,

P = (17/120) ÷ (37/120)

Therefore, an equation that can be used to find the probability, p, that the person is also a female  given that the randomly selected audience member is a student from the class is: P = (17/120) ÷ (37/120)

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Therefore, the value of fy at (4, 1) is (sin⁻¹(4) + 4/√(-60)) / 8, or approximately -0.105 for given partial derivatives.

To find fy, we need to take the partial derivative of f with respect to y, treating x as a constant. Using the chain rule, we get:

f(x, y) = y sin⁻¹(xy)

∂f/∂y = sin⁻¹(xy) + y(1/√(1 - x²y²))(x)

Now we can substitute the given values of x and y to get:

∂f/∂y (4, 1) = sin⁻¹(4) + 1(1/√(1 - 16))(4)

= sin⁻¹(4) + 4/√(-60)

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Answer:

(x) + (2x) + (x - 1) + (2x) + (2x - 3) = 76 unit

Step-by-step explanation:

Answer:

24.25 years

Step-by-step explanation:

We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.

We have: 21 = \(\frac{sum}{5}\)

sum = 21 · 5 = 105

Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.

Therefore, the average age of the 4 remaining girls is \(\frac{97}{4} = 24.25\) years.

Hope this helps!

Answer:

24.25

Step-by-step explanation:

Since the average of 5 girls is 21, there total age is 105 (21*5)

If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25

Hope this helps you!

A tacit premise is a disguised objection:

b.  False.

b. False.

A tacit premise is an unstated assumption or presupposition that is essential to an argument or conclusion, but which is not explicitly stated or defended.

Tacit premises are often taken for granted or assumed to be obvious, and they may be based on cultural, social, or personal beliefs and values.

While they are not necessarily a disguised objection to one of the premises in the argument, they can be used to strengthen or weaken an argument, depending on whether they are reasonable and supported by evidence or not.

Recognizing tacit premises is an important part of critical thinking and argument analysis, as it can help to reveal hidden assumptions and biases that may affect the reasoning and credibility of an argument.

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Answer:

(2x – 4) dollars

Step-by-step explanation:

The total distance traveled by the particle over the time interval [1, 5] is 12 units.

To find the total distance traveled, we need to consider both the magnitude and direction of the velocity function. Since the velocity function given is in meters per second (m/sec), the total distance traveled will be measured in meters.

To calculate the total distance, we need to consider the intervals where the velocity function changes its sign. In this case, the velocity function is linear and increasing, starting at t = 1 with a velocity of 3 m/sec. From t = 1 to t = 3, the particle moves in the positive direction, covering a distance of (3t - 9) × (t - 1) = 12 units. From t = 3 to t = 5, the particle moves in the negative direction with the same magnitude, covering a distance of (-1) × (3t - 9) × (t - 3) = 12 unit

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Answer:

Missing denominator = 36

Step-by-step explanation:

Let us assume that,

→ Missing denominator = x

Now we have to,

→ Find the required value of x.

Forming the equation,

→ 27/x = 3/4

Then the value of x will be,

→ 27/x = 3/4

→ 27 × 4 = 3 × x

→ 108 = 3x

→ 3x = 108

→ x = 108/3

→ [ x = 36 ]

Hence, the value of x is 36.

The  polar coordinate 5, (5, 1967) to gets converted Cartesian coordinates:

x = 5 cos(11π/6) = 5(-√3/2) = -5√3/2

y = 5 sin(11π/6) = 5(-1/2) = -5/2

To convert a polar coordinate to Cartesian coordinates, we use the formulas:

x = r cos(theta)

y = r sin(theta)

where r is the radius and theta is the angle in radians.

For the polar coordinate (5, 11π/6), we have:

r = 5

theta = 11π/6

Plugging these values into the formulas, we get:

x = 5 cos(11π/6) = 5(-√3/2) = -5√3/2

y = 5 sin(11π/6) = 5(-1/2) = -5/2

Therefore, the Cartesian coordinates are (-5√3/2, -5/2).

For the polar coordinate (5, 1967), we have:

r = 5

theta = 1967

Note that the angle is not in radians, so we need to convert it first. To do this, we multiply by π/180, since 1 degree = π/180 radians:

theta = 1967(π/180) = 34.3π

Plugging these values into the formulas, we get:

x = 5 cos(34.3π) ≈ 5(0.987) ≈ 4.935

y = 5 sin(34.3π) ≈ 5(-0.160) ≈ -0.802

Therefore, the Cartesian coordinates are (4.935, -0.802).

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Answer:

2

Step-by-step explanation:

5+5=10/5=2 if k=5

Hope this helps you

The range of the function N(t) is [17.25, ∞)

In this question, we have been given that an online streaming service that offers TV shows, documentaries, and movies charges an initial fee of $17.25 and an additional monthly membership fee of $3.75.

The total cost, N(t), for a member after t months can be expressed with the function N(t) = 3.75t + 17.25

We need to find the range of the function.

as t is the number of months, t can have take values from 0 to infinity.

For t = 0 year,

N(0) = 3.75(0) + 17.25

N(0) = 0 + 17.25

N(0) = 17.25

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function N(t) is [17.25, ∞)

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The numerical value of y is 5

The given parameters are

PQS = 8y - 3

QRS = 5y + 12

The angles are congruent.

So, we have

PQS = QRS

Substitute the known values in the above equation

So, we have

8y - 3 = 5y + 12

Evaluate the like terms

3y = 15

Divide both sides by 3

y = 5

Hence, the numerical value of y is 5

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Answer:

30% gain

Step-by-step explanation:

$30 for 10 = $3 each

$46.80 for 12 = $3.9 each

percentage change = (final price- initial price)/inital price  *100

3.9-3 = 0.9

0.9/3 = 0.3

0.3 x 100 = 30

so gain of 30%

The estimated value of y when x=30. The answer rounded to three decimal places is 5.

Envisioned cost method, as of any date of willpower, with respect to any paintings of art, the most latest estimate of fee of such paintings of artwork, as determined every so often through the relevant Borrower in accordance with phase 5.12.

To discover the estimated value E(X), or imply μ of a discrete random variable X, in reality,y multiply every value of the random variable by way of its chance and upload the products. The method is given as E ( X ) = μ = ∑ x P ( x ) .

In opportunity theory, the estimated value is a generalization of the weighted common. Informally, the anticipated price is the mathematics suggestion of a big variety of independently decided effects of a random variable.

estimated Y when

b₁x + b

X = 30.

=( 0·302) (30) + (-3-772)

5.288

= 5

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