Choose the symbol that correctly compares these mixed numbers.

Answer:

7/11 as a fraction if your talking about a fraction

Answer:

42 dollars for 6 hrs means that each hour, he gets 7 dollars, assuming that this is a proportional relationship.

56-42=14, he needs 14 more dollars

14/7=2

2 more hrs

Step-by-step explanation:

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer: 1= A/w

Step-by-step explanation:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

The second one

Step-by-step explanation:

Y=11/4x+3/2

Answer:

A.  (x - 80)² = -320(y = 20)

B.  Focus:  (80, -60)

     Directrix:  y = 100

     Axis of symmetry:  x = 80

Step-by-step explanation:

If the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:

Standard form of a parabola with a vertical axis of symmetry:

\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Substitute one of the x-intercepts and the vertex into the formula and solve for p:

\(\implies (0-80)^2=4p(0-20)\)

\(\implies (-80)^2=4p(-20)\)

\(\implies 6400=-80p\)

\(\implies p=-80\)

Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:

\(\implies (x-80)^2=4(-80)(y-20)\)

\(\implies (x-80)^2=-320(y-20)\)

Given:

\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)

\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)

\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)

The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

Answer:

Mean: 5

Median: 5

Step-by-step explanation:

To find the mean you have to add up all the numbers then divided by the total number of numbers you have.

- 3+6+5+4+7+5+6+4=40

- There are 8 numbers so we would do 40 divided by 8 to get our answer,5

- 3,3,4,4,5,5,6,6,7

You start by taking one number from the smallest number then from the largest number.

-3,3,4,4,5,5,6,6,7 goes to 3,4,4,5,5,6,6,7 then to 3,4,4,5,5,6,6 to 4,4,5,5,6,6 to 4,4,5,5,6 to 4,5,5,6 to 4,5,5 to 5,5 to 5

You repeat that until you are left with the middle number, sometimes you might be left with 2 numbers, you have to add those 2 numbers together then divide the sum by 2. With this situation there aren't 2 medians so you're just left with your answer, 5.

Answer:

\(\frac{27}{8}\)

Step-by-step explanation:

using the rules of  exponents/ radicals

• \((\frac{a}{b}) ^{-m}\) = \((\frac{b}{a}) ^{m}\)

• \(a^{\frac{m}{n} }\) = \((\sqrt[n]{a}) ^{n}\)

then

\((\frac{16}{81}) ^{-\frac{3}{4} }\)

= \((\frac{81}{16}) ^{\frac{3}{4} }\)

= \(\frac{(\sqrt[4]{81})^3 }{(\sqrt[4]{16})^3 }\)

= \(\frac{3^3}{2^3}\)

= \(\frac{27}{8}\)

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Answer:

\(A=\dfrac{3.14r^2}{2}\)

Step-by-step explanation:

The area of a circle is given by :

\(A=\pi r^2\)

Where

r is the radius of the circle.

If we talk about the area of half of the circle, it means we have to half the area such that,

\(A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}\)

Hence, this is the required solution.

The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

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Answer:

7+1- -7

Step-by-step explanation:

i just guessed :)

When Kayla was instructed to rewrite the polynomial expression x2 + 6x + 9, she wrote \(x^2+2 x-3+3^2=(x+3)^2\).

Factor \($ x^2+6 x+9: \quad(x+3)^2$\)

\($$x^2+6 x+9$$\)

Rephrase in the manner of \($a^2+2 a b+b^2$\) :

\($9=3^2$\)

\($6 x=2 x \cdot 3$\\$=x^2+2 x \cdot 3+3^2$\)

Using the Perfect Square Formula : \($\quad a^2+2 a b+b^2=(a+b)^2$\)

\($$\begin{aligned}& x^2+2 x-3+3^2=(x+3)^2 \\& =(x+3)^2\end{aligned}$$\)

An expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables is said to be a polynomial. Variables, which are sometimes known as indeterminates, and coefficients make up a polynomial. x2 4x + 7 is an illustration of a polynomial of one uncertain x.

An expression with a single or a number of terms is referred to as a polynomial. The words "polynomial" and "nomial," which are two distinct phrases, are the origins of the term. Nominal is another word for many, while poly is another word for many. An algebraic expression with two or more algebraic terms is referred to as a polynomial.

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To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.

To establish a trusting relationship with Martina, the nurse can employ several approaches:

Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.

Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.

Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.

Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.

Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.

By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.

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Complete Question:

What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?

Answer:

-3y

Step-by-step explanation:

"(4x – 2y) subtracted from (4x – 5y)"

(4x – 5y) - (4x – 2y) =

Drop the first set of parentheses since it is unnecessary.

= 4x – 5y - (4x – 2y)

Distribute the negative sign to the left of the parentheses by changing each sign inside the parentheses.

= 4x – 5y - 4x + 2y

Combine like terms.

= 4x - 4x - 5y + 2y

= 0 - 3y

= -3y

The expression -3y represents the difference when (4x – 2y) is subtracted

from (4x – 5y).

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expressions are,

4x - 2y and 4x - 5y

To find the expression, which represents the difference between, 4x - 2y and 4x - 5y.

Subtract 4x - 2y from 4x - 5y.

4x - 5y - (4x - 2y)

4x - 5y - 4x + 2y

0 - 3y

-3y

The required expression is -3y.

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Answer:

answer

Step-by-step explanation:

5%

.......................

Start by crossing out absurd answers, it helps a lot. Then you're left with two and choose the correct answer by doing the math

Step-by-step explanation:

cross the ones that you think are not right

The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180 (subtract 4 from both sides)

16x=176 (divide 16 from both sides)

x=11 (plug 11 into the angles)

9(11)+1=RQS & 7(11)+3=TQS

only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary

Answer:

RQS=100 & TQS=80

Step-by-step explanation:

add them and set it equal to 180 because it is a straight line

9x+1 + 7x+3 = 180

16x+4=180

16x=176  

x=11  

9(11)+1=RQS & 7(11)+3=TQS

you only have to solve one of them and subtract it from 180 to get the second angle since they are supplementary .

hope this helped!

p.s it would be cool if you gave me brainliest.

Complete Question

The quality control manager at a light bulb factory needs to estimate the mean life of a large shipment of light bulbs. The standard deviation is 100 hours. A random sample of 64 light bulbs indicated a sample mean life of 350 hours

A. Construct a 95% confidence interval estimate for the population mean life of light bulbs in this shipment.

B. Do you think that the manufacturer has the right to state that the light bulbs have a mean life of 400

a. No.

b. Yes.

c. Maybe.

d. Do not know

Answer:

A

   \(325.5 < \mu < 374.5\)

B

  correct option is  a

Step-by-step explanation:

From the question we are told that

   The  standard deviation is  \(\sigma = 100\)

    The  sample mean is  \(\= x = 350 \ hours\)

      The sample  size is  \(n = 64\)

Given that the confidence level is  95%  then the level of significance is mathematically represented as

            \(\alpha = (100- 95)\%\)

            \(\alpha = 0.05\)

The critical value  of  \(\frac{\alpha }{2}\) from the normal distribution table  is  

     \(Z_{\frac{\alpha }{2 } } = 1.96\)

Generally the margin of error is mathematically represented as

       \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }\)

=>     \(E = 1.96 * \frac{100 }{\sqrt{64} }\)

=>    \(E = 24 .5\)

Generally the 95% confidence interval is mathematically represented as

     \(\= x - E < \mu < \= x + E\)

     \(350 - 24.5 < \mu < 350 + 24.5\)

     \(325.5 < \mu < 374.5\)

This 95% confidence interval  can be interpreted as follows

   There is 95 confidence that the true population mean lies in this interval

 Now  looking at the interval we see that it dose not contain 400 hence

the correct answer is  No the   manufacturer do not  have  the right to state that the light bulbs last on average 400 hours

For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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Answer:

x = 110

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

x = 110

Answer:

110°

Step-by-step explanation:

Alternate exterior angles are congruent

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Answer:

\((1 + i)^{2n} = \frac{4}{(-1 \± \sqrt{5})^2}\)

Step-by-step explanation:

Using Present Value formula, we have that:

The present value at end of n period is

\(PV_1 = \frac{1}{(1 + i)^n}\)

The present value at end of 2n period is

\(PV_2 = \frac{1}{(1 + i)^{2n}}\)

\(Sum = PV_1 + PV_2\)

And

\(Sum = 1\)

So, we have:

\(PV_1 + PV_2 = 1\)

Substitute values for PV1 and PV2

\(\frac{1}{(1 + i)^n} + \frac{1}{(1 + i)^{2n}}= 1\)

Solving for:

\((1 + i)^{2n\)

\(\frac{1}{(1 + i)^n} + \frac{1}{(1 + i)^{2n}}= 1\)

This can be expressed as

\(\frac{1}{(1 + i)^n} + (\frac{1}{(1 + i)^{n}})^2= 1\)

Let

\(a = \frac{1}{(1 + i)^n}\)

So, we have:

\(a + a^2 = 1\)

Equate to 0

\(a + a^2 - 1= 0\)

\(a^2 + a - 1= 0\)

Using quadratic formula:

\(a = \frac{-B \± \sqrt{B^2 -4AC}}{2A}\)

Where A=1; B =1 and C = -1

\(a = \frac{-1 \± \sqrt{1^2 -4 * 1 * -1}}{2 * 1}\)

\(a = \frac{-1 \± \sqrt{1 +4}}{2 }\)

\(a = \frac{-1 \± \sqrt{5}}{2 }\)

Recall that:

\(a = \frac{1}{(1 + i)^n}\)

So, we have:

\(\frac{1}{(1 + i)^n} = \frac{-1 \± \sqrt{5}}{2 }\)

Invert both sides

\((1 + i)^n = \frac{2}{-1 \± \sqrt{5}}\)

Square both sides

\(((1 + i)^n)^2 = (\frac{2}{-1 \± \sqrt{5}})^2\)

\((1 + i)^{2n} = (\frac{2}{-1 \± \sqrt{5}})^2\)

\((1 + i)^{2n} = \frac{4}{(-1 \± \sqrt{5})^2}\)

The conclusion that they would arrive at based on the rejection region would be to reject the null hypothesis.

This is the region that tells us that we are not to accept the null. The conclusion would be to reject the null.

This happens when the rejection region is found to be around the area that is in the critical value.

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Answer:

traducir mi respuesta al español si es necesario

1/8

Step-by-step explanation:

lets start with the basics 1/2 of 3/4 to do it we multiply the fractions

1        3         3

    x  

2        4           8

the answer to that problem was 3/8 if u still dont understand multiplying fractions you can look it up and put on spanish subtitles

now to find 1/3 of 3/8 we do the same thing

1       3

    x

3       8        

we get 3/24 we can make the number smaller by reducing it. you can look up a video on reducing

Answer:

1,3,4

Step-by-step explanation: