I need help finding the value of x. ​

Explanation:

The initial expression is:

To know the value of m, we need to solve the equation for m, so adding 7 to both sides of the equation, we get:

Then, we can multiply both sides by 4, so:

Using statistical concepts, it is found that it is an experimental study, as the music played corresponds to an experiment.

It is an study where an intervention is applied to a sample, and the effect of this intervention is studied.

In this problem, the music played is the intervention, and it's effect on the time that it takes for the infants to be asleep, hence it is an experimental study.

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Answer:

65 degrees

Step-by-step explanation:

if you add all 3 degrees of any triangle it will equal 180 degrees

80 +35=115

180-115=65

Answer: angle R and angle Y are 65

Step-by-step explanation:

all angles have to add to 180 in triangles so just add the values you know and subtract them to 180, 80+35= 115 than subtract it from 180, 180-115= 65

Answer:The correct answer is d. Neither the normal nor the t distribution applies.

If one of the zeros in the quadratic polynomial is 4, then the value of k is 3.

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. A polynomial is a mathematical expression that only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates in mathematics.

Here,

4 is a root/zero of polynomial

P(x)  =   (k-2) x²  - 2 x  - (k+5)

P(4) = 0

(k - 2) 4²  - 2 * 4 - (k+5)  = 0

15 k - 45 = 0  

k = 3

The value of k if 4 is one of the zeros of the quadratic polynomial is 3.

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Complete question:

If one of the zeros of a quadratic polynomial(k-2)x^2-2x-(k+5) is 4 , find value of k.

K-Means uses Euclidean distance. The output includes average and maximum distances, separation, and convergence after iterations related to the number of starting seeds.

In the output of a K-Means cluster analysis, "Ave Distance" refers to the average distance between the data points and their assigned cluster centroids.

"Max Distance" represents the maximum distance between any data point and its assigned centroid. "Separation" indicates the distance between the centroids of different clusters, reflecting how well-separated the clusters are.

Convergence in K-Means clustering refers to the point when the algorithm reaches stability and the cluster assignments no longer change significantly.

When the video mentions convergence after 4 iterations, it means that after four rounds of updating cluster assignments and re-computing centroids, the algorithm has achieved a stable result.

The "Number of starting seeds" option determines how many initial random seeds are used for the algorithm, and it can affect the number of iterations needed for convergence. Increasing the number of starting seeds may result in faster convergence as it explores different initial configurations.

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The number 9 divided by 7 gives Remainder = 2 and Quotient = 1.

and, the number 91 divided by 7 gives Remainder = 0 and Quotient = 13.

Multiplication is the opposite of division.

If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

Given:

We have to divide 9 by 7.

so, the division is as follow

                                            7 | 9 | 1

                                                 7

                                              ____

                                                2

Thus, Remainder = 2 and Quotient = 1.

Now, We have to divide 91 by 7.

so, the division is as follow

                                            7 | 91 | 13

                                                 7

                                              ____

                                                2 1

                                                2 1

                                              ____

                                                  0

Thus, Remainder = 0 and Quotient = 13.

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Answer:

51 adults and 193 children

Step-by-step explanation:

Number of children = c

Cost for c children = c*4 = 4c

Number of adults = a

Cost for a adults = 6a

Total people = 244

a + c = 244  ---------------(I)

   a = 244 - c ----------(II)

Cost for 244 people =  $ 1078

6a + 4c = 1078 -------------(III)

Substitute a = 244 - c in equation (III)

6*(244 - c) + 4c = 1078

1464 - 6c + 4c = 1078

1464 - 2c = 1078

         -2c = 1078 - 1464

        -2c = -386

           c =  -386/-2

c = 193

a = 244 - 193

a = 51

Answer:

Lesser x = -14

Greater x = 0

Step-by-step explanation:

Given equation:

\(\sf (x+7)^2-49=0\)

Add 49 to both sides:

\(\implies \sf (x+7)^2-49+49=0+49\)

\(\implies \sf (x+7)^2=49\)

Square root both sides:

\(\implies \sf \sqrt{(x+7)^2}=\sqrt{49}\)

\(\implies \sf x+7=\pm7\)

Solve for x:

\(\implies \sf x+7=7 \implies x=0\)

\(\implies \sf x+7=-7 \implies x=-14\)

As -14 < 0

Answer:

  s = -24

Step-by-step explanation:

This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.

Step 1

Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.

  \(7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}\)

Step 2

Multiply both sides by the inverse of the coefficient of the variable.

  \((6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}\)

Often, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.

Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.

  \(7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}\)

You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.

The value we found for the variable can be checked in the original equation.

  \(7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}\)

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the table:

Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3

Hence, for 30 new galla trees, number of Fuji trees is:

Fuji trees = (4/3) * 30 = 40

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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There is an open circle on –6. 5 and the arrow points to the right. The correct options are A and E.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

The given expression is \(\rm x > -6.5\).

It means the value of x is more than -6.5.

Since the sign of equality is not there in the equation then at -6.5 will be an open circle. And the arrow points to the right.

The graph is shown below.

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As we need to select counterexamples, we have to select all the options that make the statement x+2>7 a FALSE statement.

Then, we can rearrange:

We have to select all the options where x is NOT greater than 5: -2, 0, 3, 4.

The options -2, 0, 3, 4 have to be selected.

Answer:

she is correct

Step-by-step explanation:

because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.

and a straight line has an angle of 180

so the inside of the C angle is 50

60+50+70=180

Yes, Considering the figure, the perpendicular bisector theorem to can be used to solve for FG

The perpendicular of a line segment is the line that splits the middle of another line segment at a 90° angle into two equal halves.

Any point on the perpendicular bisector is equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.

All of a pillar's points will be equally spaced from the bridge's end points if it is positioned at an angle in the middle of the structure.

Therefore from the theorem FG is equal to GH and this equal to 24 units

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The no-arbitrage price today of a 5-year $1,000 US Treasury note with a 2% coupon rate and a 4.25% yield to maturity is approximately $908.44, closest to option B: $900.53.

To determine the no-arbitrage price of a 5-year $1,000 US Treasury note with a coupon rate of 2% and a yield to maturity (YTM) of 4.25%, we can use the present value of the future cash flows.First, let's calculate the annual coupon payment. The coupon rate is 2% of the face value, so the coupon payment is ($1,000 * 2%) = $20 per year.The yield to maturity of 4.25% is the discount rate we'll use to calculate the present value of the cash flows. Since the coupon payments occur annually, we need to discount them at this rate for five years.

Using the present value formula for an annuity, we can calculate the present value of the coupon payments:PV = C * (1 - (1 + r)^-n) / r,

where PV is the present value, C is the coupon payment, r is the discount rate, and n is the number of periods.

Plugging in the values:PV = $20 * (1 - (1 + 0.0425)^-5) / 0.0425 = $85.6427.

Next, we need to calculate the present value of the face value ($1,000) at the end of 5 years:PV = $1,000 / (1 + 0.0425)^5 = $822.7967.

Finally, we sum up the present values of the coupon payments and the face value:No-arbitrage price = $85.6427 + $822.7967 = $908.4394.

Rounding to the penny, the no-arbitrage price is $908.44, which is closest to option B: $900.53.

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Answer:0.48

Step-by-step equation:

Answer:

   -6.4, -5 1/2, -5, and -2 6/4.

Step-by-step explanation:

Arranging these negative values in order from least to greatest may be tricky if you are not familiar with your integer rules and operations. However, if you seem to understand, even a little, this way may be helpful to you.

All you need to know is this. positive and negative are opposites. Thus, if, for example, +2 is greater than +1 in positives, then -2 is less than -1 in negatives. So, in other words, think about it this way when you see a negative number, but you are used to positive numbers, just assume that the biggest number on the positive side is the smallest number on the negative side.

Therefore, if we were to use this method, we would result in -6.4, -5 1/2, -5, and -2 6/4. Since it would be the opposite in positives.

If each child consumed the same quantity, then each would need to drink (63)x(4/n) of a gallon.

The US fluid ounce is equal to 1/128 of a US gallon since there are four quarts in a gallon, two pints in a quart, and 16 US fluid ounces in a US pint. The US gallon is accepted to be equivalent to around 3.785 L or 231 in inches, but the Imperial gallon is accepted to be equal to 4.54609 L. The liter is the unit of volume used by the great majority of people in the world. a volume measurement equal to eight pints.

An imperial gallon (Britain, Canada) is exactly 4.54609 liters. (US) 3.785 liters or around 231 cubic inches for liquids (a "U.S. liquid gallon")

Here gallon of lemonade to share = 63

let each children has 1 gallon of lemonade

so gallon=63

so portion =63/1

Formula = gallon to share x (4 parts of gallon shape / number of gallon)

which means if each one have n gallon then portion = (63)x(4/n)

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Each child would need to eat 63*4/n of a gallon if they all consumed the same amount.

Since there are four quarts in a gallon, two pints in a quart, and 16 US fluid ounces in a US pint, one US fluid ounce is equivalent to 1/128 of a US gallon. The Imperial gallon is acknowledged to be equal to 4.54609 L, but the US gallon is accepted to be about 3.785 L or 231 in. The vast majority of people in the world measure volume in litres. a volume that is eight pints in size.

In Britain and Canada, an imperial gallon equals precisely 4.54609 litres. 3.785 litres (US) or around 231 cubic inches (a "U.S. liquid")

Here, six thirty kids were sharing a gallon of lemonade.

each youngster should drink a gallon of lemonade.

Gallon = 63.

Hence part = 63/1

It indicates that the fraction is equal to 63*4/n if each has n gallons.

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Note: The complete question would be as bellow,

six thirty children had gallon of lemonade to share. if each child had the same amount, what portion of the gallon did each child have to drink?

Answer:

r = 100(\(\frac{A}{P}\) - 1 )

Step-by-step explanation:

Given

A = P(1 + \(\frac{r}{100}\) ) ← divide both sides by P

\(\frac{A}{P}\) = 1 + \(\frac{r}{100}\) ( subtract 1 from both sides )

\(\frac{P}{A}\) - 1 = \(\frac{r}{100}\) ( multiply both sides by 100 )

100 ( \(\frac{P}{A}\) - 1) = r

Answer:

84.13

Step-by-step explanation:

4+4=8

14-8=6

the area of a circle is A=πr^2

A=π3^2

=28.27

divide is by 2 cos its a semi circle

28.27/2

14.13+(5x14)

14.13+70=84.13

Answer:

A: experiment

B: observational study

C: observational study

D: experiment

Step-by-step explanation:

Answer:

5 81/100

Step-by-step explanation:

Answer:

5.81 in fraction form is 581/100.

Step-by-step explanation:

Address input parameters & values.

Input parameters & values: The decimal number = 5.81

Write it as a fraction

5.81/1

Multiply 100 to both numerator & denominator

(5.81 x 100)/(1 x 100) = 581/100

It can be written as 581% = 581/100 or 581/100

To simplify 581/100 to its lowest terms, find LCM (Least Common Multiple) for 581 & 100.

1 is the LCM for 581 & 100

As LCM is 1, the fraction can't be factorized further

Answer:

p(x)=  20x + 300   c(x)= 12x + 500

Step-by-step explanation:

x = hour

numbers without variables are the flat fee

A. Here's a sketch of a horizontal pipe at a maximum slope (1/2 inch per foot) and a minimum slope (1/4 inch per foot):   / / / / / / / / / / / / / / / / / / /

 / / / / / / / / / / / / / / / / / / /

/ / / / / / / / / / / / / / / / / / /

/ / / / / / / / / / / / / / / / / / /

The pipe on the left has a slope of 1/4 inch per foot, while the pipe on the right has a slope of 1/2 inch per foot.B. To determine the minimum and maximum angles, we need to use trigonometry. If we let the angle that the pipe makes with the horizontal be θ, then we have:Minimum angle: tan(θ) = 1/48 (since 1/4 inch per foot is equivalent to 1 inch of drop over 48 inches of horizontal distance) θ ≈ 1.2 degreesMaximum angle: tan(θ) = 1/24 (since 1/2 inch per foot is equivalent to 1 inch of drop over 24 inches of horizontal distance) θ ≈ 2.4 degreesSo the minimum angle is approximately 1.2 degrees and the maximum angle is approximately 2.4 degrees.C. To determine if the slope of Enrico's pipe is acceptable, we need to calculate the slope of the pipe in inches per foot. Enrico's pipe runs a horizontal distance of 172 inches and drops 6 inches. The slope is:Slope = Drop / Horizontal distance = 6 / 172Slope = 0.0349 inches per inchTo convert this to slope in inches per foot, we multiply by 12:Slope = 0.4188 inches per footSince this slope is between the acceptable range of 1/4 inch per foot and 1/2 inch per foot, Enrico's pipe slope is acceptable.


Correct me if I am wrong

A. Sketch of a pipe at slop 1/4 inch per foot and a horizontal pipe at slope 1/2 inch per foot attached below. B. the minimum and maximum angle are approximately 14.0 degrees and 26.6 degrees, respectively. C. Yes, pipe slope is acceptable according to the given criteria.

B. Determine the minimum and maximum angles:

To find the angle, use the tangent function. The tangent of an angle is equal to the ratio of the height to the horizontal distance travelled.

Minimum angle:

Tangent of the angle= 1/4 inch per foot

Tangent of the angle = 0.25 inches per foot

Minimum angle (in degrees) = arctan(0.25)

Minimum angle ≈ 14.0 degrees

Maximum angle:

Tangent of the angle = 1/2 inch per foot

Tangent of the angle = 0.5 inches per foot

Maximum angle (in degrees) = arctan(0.5)

Maximum angle ≈ 26.6 degrees

C. Enrico's drain pipe:

Horizontal distance travelled  = 172 inches

Drop from the horizontal = 6 inches

Slope of the pipe = Drop / Run

Slope of the pipe = 6 / 172

Slope of the pipe ≈ 0.0349 inches per inch

To convert the slope to inches per foot:

Slope = 0.0349 × 12

Slope ≈ 0.4188 inches per foot

Hence, sketch of a pipe at slop 1/4 inch per foot and a horizontal pipe at slope 1/2 inch per foot attached below, the minimum and maximum angle are approximately 14.0 degrees and 26.6 degrees, respectively, and yes, pipe slope is acceptable according to the given criteria.

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Step-by-step explanation:

\(4\)

\(4 {x}^{2} - 3x {y}^{2} \)

Answer:

A. m = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 0)

Point (1, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m