What is 4 2/3 divided by 7

Answer:

y = \(\frac{-1}{6}\)x - \(\frac{7}{3}\)

Step-by-step explanation:

1. Find the slope -3- -2 / 4 - -2  so -3+2/4+2, -1/6 so m = -1/6

2.  Find y intercept (b)   y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b

b = -2-1/3, b = -6/3 - 1/3, so b = -7/3

3.  Put it all together y = mx + b so y = -1/6x -7/3

Answer:

-6

Step-by-step explanation:

h(x) = -3x – 12 becomes h(-2) =  -3(-2) – 12 = -6

The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.

A Z-score is stated as the fractional model of data point to the mean using standard deviations.

We need to convert 2.50 hours to a standard score (z-score) using the formula,

z = (x - μ) / σ

where x is the value we want to convert, μ is the mean, and σ is the standard deviation.

z = (2.50 - 3.00) / 0.75

z = -0.67

This means that 2.50 hours is 0.67 standard deviations below the mean.

We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:

P(z < -0.67) = 0.2514

So the correct answer is (a) 25.14 percent.

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Answer:

530.66 cm²

Step-by-step explanation:

take half the diameter of 26 and that gives you the radius of 13

A =π· r²

A = 3.14 x 169

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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In order to find the median of the number of pencils, first order the information of the dot-plot graph:

1 1 1 2 2 2 2 3 3 5

there are ten data, the median is one half the sum of the two data at the center of the list:

1 1 1 2 2 2 2 3 3 5

(2 + 2)/2 = 4/2 = 2

Hence, the median is 2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). ∠PRS and ∠VUW are supplementary [Given]

2). ∠PRS + ∠VUW = 180° [Definition of supplementary angles]

3). ∠PRS + ∠SRU = 180° [Angles forming a linear pair sum to 180°]

4). ∠PRS + ∠VUW = ∠PRS + ∠SRU [Substitution]

5). ∠VUW = ∠SRU [Algebra]

6). Line TU║ line QS [Converse of corresponding angle postulate]

Answer:

Step-by-step explanation:

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

The relative frequency οf value οf 10 is 0.3.

The relative frequency is calculated as the prοduct οf the number οf times a given value οf the data appears in the set οf all οutcοmes divided by the tοtal number οf οutcοmes.

Here the given data set is 10, 14, 12, 16, 13, 14, 16, 10, 12, and 10.

Fοr value οf 10, the number οf times 10 οccured is 3 and tοtal number οf data set is 10.

Relative frequency,

=> Number οf times οf value οf 10/ Tοtal number οf data set

=> 3/10

=> 0.3.

Hence the relative frequency οf value οf 10 is 0.3.

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Answer:

Step-by-step explanation:

The perimeter of square is given as,

Let length of side is denoted as S.

The formula for the perimeter of square is,

To calculate the side of square , substitute the value of perimeter in the above formula.

Solving the equation we get,

The length of the square obtained is ,

Answer:

\(3^2-5\)

Step-by-step explanation:

    Given equation:

 ( 3 - 2^2) + 5

  3 - 4 + 5   (Simplify exponent)

 -1 + 5  (Solve 3 - 4)

  4 (Simplified)

Evaluation

2^2 + 5

4 + 5

9 (not the answer)

3^2 - 5

9-5

4  (answer)

Answer:

Step-by-step explanation:

What points were you given to choose from?

The parts of the given circle are:

Diameter is H  F
Chord is D G and CD

Tangent is B J

Radius is A F

Secant is B D

Some of the parts of a circle are as follows:

1) Centre: it has equal distance from all ends

2) Diameter: it is longest distance on circle

3) Chord: any line segment joining any two pints on circle

4) Radius: It is half distance of diameter

5) Tangent line: It touches circle at only one point

6) Right angle: It has 90 degree angle

7) Secant line:  Intersects a curve at a minimum of two points

8) Arc: A segment of circumference of circle

9) Interior angle: angle inside circle

From the diagram and comparing with the definitions above, we can say that:

Diameter is H  F
Chord is D G and CD

Tangent is B J

Radius is A F

Secant is B D

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According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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The monthly payment for the loan to purchase the desktop computer system on the given installment plan is $51.91.

The formula for calculating the monthly payment is:

\(M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)\)

Where:

Given:

First, we need to calculate the monthly interest rate (r):

Monthly interest rate (r) = APR / 12

= 15% / 12

= 0.15 / 12

= 0.0125

Next, substitute the values into the formula and calculate the monthly payment (M):

\(M = $1,500 * (0.0125 * (1 + 0.0125)^3^6) / ((1 + 0.0125)^3^6 - 1)\)

M = $51.91.

Therefore, the monthly payment for the loan to purchase the desktop computer system on the given installment plan is approximately $51.91.

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Answer:

1.  line AB ≅ line CD (its congruent)

2. m<ZXY - m<WXZ = m<WXY

Step-by-step explanation:

1.

A (-3, 2)

B (0, 3)

C (-1, 2)

D (2, -3)

find:

determine if AB ≅ CD (congruent or non-congruent)

solution:

Length AB = √(0+3)² + (3+2)² = 5.8

Length CD = √(2+1)² + (-3-2)² = 5.8

therefore,

line AB ≅ line CD (its congruent)

2.

m<ZXY - m<WXZ = m<WXY

given:

point Z is in the interior of <WXY creating XZ.

if m<WXZ = 20

m<WXY = 100

find:

what would equation would you set up to find the missing angle measure?

solution:

Since Z is interior of <WXY

m<ZXY - m<WXZ = m<WXY

<WXY = 100 - 20 = 80°

therefore, the equation would be m<ZXY - m<WXZ = m<WXY

The correct answer is pentagonal prism.

The equity dividend rate is calculated by dividing the before-tax cash flow by the equity investment.

The ratio of a year's worth of before-tax cash flow to the equity investment in the property is known as the equity dividend rate, also known as the equity capitalization rate and cash on cash return.

An equity dividend rate, which is frequently employed by real estate investors, is a helpful indicator to ascertain an investment's yearly return in relation to the capital invested. This indicator, often known as the cash-on-cash return, focuses solely on the actual cash invested in a property rather than the purchase price. In summary, using the equity dividend rate is a great technique to estimate a real estate investment's yearly profitability. The return on the real investment is shown by the equity dividend rate.

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The metric conversion from 195 km/h to m/min is; 3250 m/min

The basic metric conversion units are meters (for length), grams (for mass or weight), and liters (for volume).

Now, the metric unit of conversion from km/h to m/min is;

1 km/h = 50/3 m/min

Thus;

195 km/h = (195 * 50)/3

= 3250 m/min

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4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.

5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.

In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;

RU ║ ST

Slope of side RU = Slope of side ST

Slope of RU = (y₂ - y₁)/(x₂ - x₁)

Slope of RU = (1 + 3)/(5 + 3)

Slope of RU = 4/8

Slope of RU = 0.5.

Slope of RS = (y₂ - y₁)/(x₂ - x₁)

Slope of RS = (-9 + 3)/(-4 + 3)

Slope of RS = -6/-1

Slope of RS = 6.

Slope of ST = (y₂ - y₁)/(x₂ - x₁)

Slope of ST = (-2 - 1)/(10 - 5)

Slope of ST = -3/5

Slope of ST = -0.6.

Slope of UT = (y₂ - y₁)/(x₂ - x₁)

Slope of UT = (-2 + 9)/(10 + 4)

Slope of UT = 7/14

Slope of UT = 0.5.

Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.

Question 5.

In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance RT = √[(-2 + 3)² + (10 + 3)²]

Distance RT = √170 units.

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance US = √[(5 + 4)² + (1 + 9)²]

Distance US = √181 units.

Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.

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The inequality that represents the number of backpacks to sell is $30x - $10x  - 10,000 ≥ 1000

The number of backpacks the factory must sell in order to meet its weekly goal is 550.

Here are inequality signs and what they mean:

Profit is total revenue less total cost.

Profit = total revenue - total variable cost - operating expense

$30x - $10x  - 10,000 ≥ 1000

$20x  ≥ 11,000

x  ≥ 11000 / 20

x  ≥ 550

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so ar^  = 2000 and you told me r = 10

a(10^5) = 2000

a = 2000/100000 = 1/50

the 6th term of a GP is 2000 is 0.02 then the first term of GP is 0.02

A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.

Geometric Progression (GP) is a type of sequence in which each succeeding term is produced by multiplying the previous term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

Therefore,

The general form of a GP is a, ar, ar², ar³,...., arⁿ where a is the first term and r is the common ratio.

Given r=10

6th term of a GP = 2000

We know that nth term of a GP = \(ar^{n-1}\)

\(ar^5\) = 2000

a × (\(10^5\)) = 2000

a = 2000/100000

a = 1/50 = 0.02

Therefore, the first term of GP is 0.02

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(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

It is given that two triangles that are JKL and MNP are considered in which:

∠K = ∠N

∠L = ∠P

JK = 6

MN = 18.

Now, from ΔJKL and ΔMNP, we have

∠K = ∠N (Given in the question)

∠L = ∠P(Given in the question)

Thus, by AA rule of similarity,

ΔJKL is similar to ΔMNP.

Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.

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Your question was incomplete. Please refer the content below:

Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.

A. Similar - AA

B. Cannot be determined

C. Similar - SSS

D. Similar - SAS

Answer: x=-9

Step-by-step explanation:

18/x=-2

multiply x

18=-2x

divide by -2

-9=x

x=-9

Answer:

\(18 \div x = - 2 \\ \frac{18}{x} = - 2 \\ x = \frac{18}{ (- 2)} \\ \boxed{x = - 9}\)

Answer:

no nononononmonno

Step-by-step explanation:

jahgajahahahhahahahahhavdbsvfbsbdvdv

Answer:

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There are various combinations of coins.

In total there are: