Given the function f(x) = 32 determine the equation of a new function, g(x), that is reflected over the x-axis and then shifted 2 units up.

Responder:

11

Explicación paso a paso:

Dado que:

Dimensión de la habitación = 3,7 m por 4,5 m

Área de la habitación:

Largo * ancho

Los 3.7m * 4.5m

= 16,65 m²

Área de la caja de piso = 1.54m²

Número de cajas de suelo necesarias:

Área de la habitación / área de la caja de piso

16,65 m² / 1,54 m²

= 10,812

= 11 cajas de suelo

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units

If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0

Then the distance of a point from the line is given by the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

Given: the point (5,12) and the line y = 5x + 12. The line can be written as

5x-y+12 = 0. Thus:

x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:

d = (ax₁ + by₁ + c) / √(a² + b²)

d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)

d = 25/√26 = 4.90 units

Therefore, the distance between the point and the line is 4.90 units. Option D is the answer

Learn more about distance between a point and a line on:

https://brainly.com/question/18276750

#SPJ1

Answer:

x1 = \(\frac{-1 + \sqrt{5} }{2}\) ; x2 = \(\frac{-1 - \sqrt{5} }{2}\)

Step-by-step explanation:

Người Việt Nam à em :v

A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.

The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.

This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.

The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).

In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.

The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.

for such more questions on property

https://brainly.com/question/28210762

#SPJ8

Answer:

=======================

Equation of circle:

The center is the radius long distance from the x- axis to left and y-axis up same distance, this makes it in the second quadrant.

So the coordinates of the center are:

The equation is:

Answer:

\((x+8)^2+(y-8)^2=64\)

Step-by-step explanation:

Required conditions:

If the circle is tangent to both axes, its center will be the same distance from both axes.  That distance is its radius.

If the center of the circle is in quadrant II, the center will have a negative x-value and a positive y-value → (-x, y).

Therefore, the coordinates of the center will be (0-r, 0+r) where r is the radius.

If the radius is 8 units, then the center is (-8, 8).

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-a)^2+(y-b)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(a, b)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Substitute the found center and given radius into the formula to create an equation for the circle that satisfies the given conditions:

\(\implies (x-(-8))^2+(y-8)^2=8^2\)

\(\implies (x+8)^2+(y-8)^2=64\)

The mean of the given data is 1744 days, median of the given data is 1460.5 days, mode of the given data is 1461 days & 4422 days.

To find the mean, median, and mode of the lengths of terms of the US Presidents that preceded Joe Biden:

Mean:

To find the mean, we add up all of the term lengths and divide by the total number of terms:

Mean = (4422 + 2922 + 2865 + 2840 + 2728 + 2041 + 2027 + 1886 + 1654 + 1503 + 1461 + 1460 + 1430 + 1419 + 1262 + 1036 + 969 + 895 + 881 + 492 + 199 + 31) / 44

Mean = 1743.77 days

Median:

To find the median, we need to arrange the term lengths in order from smallest to largest, and then find the middle term. In this case, since we have an even number of terms, we will take the average of the two middle terms:

31 199 492 881 895 969 1036 1262 1419 1430 1460 1461 1503 1654 1886 2027 2041 2728 2840 2865 2922 4422

Median = (1460 + 1461) / 2

Median = 1460.5 days

Mode:

The mode is the most frequently occurring term length. In this case, there are two modes: 1,461 days and 4,422 days.

Since the term length of FDR is much higher than all the other term lengths, it has pulled up the mean to a higher value than the other measures of central tendency. Additionally, the mode being a high value is likely due to the fact that FDR served for more than three terms, which is an outlier in the data set.

For more such questions on Mean & median

https://brainly.com/question/26177250

#SPJ4

Answer:

Step-by-step explanation:

You can find the perfect squares that are closest to this by listing the perfect squares and seeing which two this square would be between, which is the square root of 36 and the square root of 49:

\(\sqrt{36} < \sqrt{40} < \sqrt{49}\)

Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

Answer:

44 minutes

Step-by-step explanation:

66-22=44

johnny played for 44 minutes

Answer:

I think its C

Step-by-step explanation:

Answer:

Reject the null hypothesis because the value of null is outside the interval.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

Answer:

5 and 1/2

Step-by-step explanation:

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

The efficiency of the a and b from the uniform distribution on the interval a:X-1/2 and b:Xn-n/n+1 is x.

The probability distribution known as the uniform distribution comes in two varieties: the discrete case and the continuous case. Both types of uniform distributions, as their names imply, have constant or uniform probabilities for all possible values of the random variable.

The random sample X1,X2,....,Xn is taken from the uniform distribution on the interval (0,θ).

δlog(L(x,θ))/δθ = -n/θ + ∑(xt)/θ² = 0

n/θ = ∑(xt) /θ²

θ = x

Now derivate it again with respect to θ,

∂²log(L(x;θ)) / ∂θ²

=nθ²−2∑t(xt) / θ³<0

Since, the second derivative is less than 0, ^θ is maximum likelihood estimate of θ.

Therefore, the maximum likelihood estimate of θ is ¯x.

Learn ore about Uniform distribution:

https://brainly.com/question/16245961

#SPJ4

First determine the amount of the mortgage

379000- downpayment

379,900 - 79900 = 300000

The closing costs are 3.5% of this amount

300,000 * 3.5%

300,000 * .035

10500

The closing costs are $10,500

The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

To learn more about center of mass visit:https://brainly.com/question/28996108

#SPJ4

Answer:

\(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Step-by-step explanation:

Notice that \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}\), which is in indeterminate form, so we must use L'Hôpital's rule which states that \(\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}\). Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:

\(\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}\)

Now, plug in the limit and evaluate:

\(\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}\)

Thus, \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

For such more questions on conditions

https://brainly.com/question/18395678

#SPJ8

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

For mor such questions on quotient visit:

https://brainly.com/question/11418015

#SPJ8

The remainder and factor of the given algebraic expression \(\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}\) is \((5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)\) and \(0\)

As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression \(\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}\) using remainder theorem concept.

Before solving this, we need to know the concept of remainder theorem.

According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."

Hence using the same concept we can conclude that the factors are \((5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)\) and remainder is \(0\)

To learn more about Remainder Theorem, click on the link given below:

https://brainly.com/question/9160275

#SPJ1

The number of small packs purchased will be 10.

The number of large packs purchased will be 7.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Each small pack has 12 hotdogs and each large pack has 24 hotdogs.

The school bought 17 packs of hotdogs that have a total of 288 hotdogs.

Now,

Let number of small packs purchased = x

And, number of large packs purchased = y

Since,

So, We can formulate;

Each small pack has 12 hotdogs and each large pack has 24 hotdogs.

⇒ 12x + 24y = 288   .. (i)

And, The school bought 17 packs of hotdogs.

So, we can formulate;

⇒ x + y = 24    ..... (ii)

Solve the equation (i) and (ii) as;

⇒ 12x + 24y = 288

And, x + y = 17

Multiply by 12 in (ii) equation, we get;

12x + 12y = 204

Subtract above equation by (i), we get;

⇒ 12x + 24y - 12x - 12y = 288 - 204

⇒ 12y = 84

⇒ y = 7

And, x + y = 17

x + 7 = 17

x  = 17 - 7

x = 10

Thus,

The number of small packs purchased will be 10.

The number of large packs purchased will be 7.

Learn more about the linear expression visit:

https://brainly.com/question/12788590

#SPJ1

Answer:

Each small pack has 12 hotdogs

The school bought 17

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

10(8)=80

Answer: To look up an answer: Locate the Item Number for the particular problem for which you want the answer. This is at the top of the screen as.

Step-by-step explanation:

Answer:

The answer is A.15c+3

Step-by-step explanation:

Answer: 3 \(\frac{4}{5}\)

Step-by-step explanation:

Answer:

7 1/5

Step-by-step explanation:

Answer:

3.14 PIE

Step-by-step explanation:

Use Pie the method we all learned I think it’s 3.14

Answer:

a = -86.

Step-by-step explanation:

By the Factor Theorem, if x + 4 is a factor then P(-4) = 0, so:

P(-4) = 2(-4)^3 - 11(-4)^2 + a(-4)- 40 = 0

-128 - 176 - 4a - 40 = 0

-4a = 128 +176 + 40

-4a = 344

a = -86.

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16