One number is 7 less than 3 times the second number. Their sum is 29. Find the numbers.

Let x be the second number.

Answer:

nnnn

Step-by-step explanation:

hh

Answer:

you remember vertex: h,k in (x-h)²+k..

replace in that. In that graph vertex: (10, -20)

So in that Equation, a(x-10)²-20, a<0 since it is maximum graph.

I cannot find the full Equation but from what I can see you can find h,k and the fact that a<0

The expression that shows a way to factor 16 + 72 is 8(2 + 9)

From the question, we have the following parameters that can be used in our computation:

16 + 72

Express the terms of the expression as products

So, we have the following representation

16 + 72 = 8 * 2 + 8 * 9

Factor out 8 from the expression

This gives

16 + 72 = 8 * (2 +  9)

Hence, the factored expression of 16 + 72 is 8 * (2 +  9)

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If all sales are made on​ account, the only piece of information you would need to calculate the cash received from customers during the period is the net change in accounts receivable.

It is False.

Information available from the question,

In the question:

If all sales are made on​ account, the only piece of information you would need to calculate the cash received from customers during the period is the net change in accounts receivable.

The answer in TRUE/FALSE

Now, According to the question:

Accounting for cash transactions:

Daily cash sheet: If cash transactions are a significant part of your business, you should also prepare a daily cash sheet to reconcile your cash received and paid out for the day. If you use a daily cash sheet, you can reconcile your cash receipts with your daily deposit into your bank account.

So, The given statement is False.

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The markup from cost to sale price was originally 245%.

The markup is the addition put on the cost of an item.

Goods are marked-up to take care of other selling and administrative costs and to achieve an estimated profit.

The cost of the item plus the markup equals the retail selling price.

Selling price = $720

Markdown percentage = 30%

Marked-up selling price before the markdown = $1,029 ($720/0.7)

Markup cost = $420

Markup difference = $609 ($1,029 - $420)

Markup = 245% ($1,029/$420 x 100)

Thus, the item was marked-up by 245% before it was marked down by 30% to $720.

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Answer:

A and C similar

Step-by-step explanation:

A: 80/100 = 0.8

B: 100/120 = 0.833...

C: 72/90 = 0.8

Since the ratio of the lengths of the sides of rectangle A and C are equal, the only similar rectangles are A and C.

Answer: A and C similar

The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.

In this instance, we are informed that:

The probability of each of them is calculated as:

Situation 1: No heads

That implies that all three coins must land on the tail.

Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;

= 2x 2x 2

= 8

via the product rule (because each coin has two alternative outcomes).

The result is:

P(x =0) = 1/8

Situation 2: One head

Single head means three points, or X = three.

Total outcomes possible = 8,

Single head can occur in 3 different ways, as other two needs to be strictly tails.

Thus,

P(x = 3) = 2/8

Situation 3: Two heads

Two heads equals 3+3 = 6.

X = 6

8 outcomes are possible in total.

Single tail means two heads. Three separate scenarios can lead to a single tail.

Therefore,

P(x = 6) = 2/8

Situation 4: Three heads

Three heads signifies that X = 9 or 3+3+3 = 9 points.

8 outcomes are possible in total.

Three heads means there is only one way to do it and no tail.

Thus,

P(x = 9) = 1/8

As a result, the expectation of X is determined as follows:

E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8

E(x) = 27/8

Therefore, 27/8 is the expected value of X.

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The graph of the linear function y = 36 - 4x that represents this function is given by the image shown at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are listed as follows:

Initially, he has 36 overdue activities, hence the intercept is of:

b = 36.

Each day, he can do 4 activities, hence the number of remaining activities decays by 4, and thus the slope is of:

m = -4.

Thus the function is given as follows:

y = -4x + 36.

The y-intercept is given by the following point:

(0, 36).

The x-intercept is given by the following point:

(9,0).

As:

-4x + 36 = 0

4x = 36

x = 9.

Then a line is traced connecting the intercepts.

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Answer:

z = 11

Step-by-step explanation:

To find the answer we need to set up an expression with the two values they gave us:

8z = z + 77

This works because side IJ is the same length as side JK. So, all we have to do is solve for z:

8z = z + 77

-z    - z

7z = 77

/7     /7

z = 11

Answer:

Step-by-step explanation:

You want the net and total surface area for the triangular prism shown.

The net diagram is attached. It consists of three rectangles with triangles attached to the ends of the widest rectangle. Of course, these parts can be arranged in any order you find convenient, as long as the common edges match the original prism.

The net shows the area can be computed as the sum of a rectangle 9 cm high and 5+6+5 = 16 cm wide, together with two triangles of base 6 cm and height 4 cm.

  A = (9 cm)(16 cm) +2(1/2)(6 cm)(4 cm)

  = 144 cm² +24 cm²

  = 168 cm²

The total surface area of the prism is 168 cm².

__

Additional comment

The formulas for the area of a rectangle and triangle are ...

  A = LW . . . . . area of a rectangle of length L and width W

  A = 1/2bh . . . . area of a triangle of base b and height h

From the various triangle proofs below, we have been able to show that; 3A F = AC

A median of a triangle is defined as a line segment from a vertex of the triangle to the midpoint of the side opposite that vertex.

We are given that;

AD is the median of ΔABC.

E is the midpoint of AD

Through D, we draw DG parallel to BF

In ΔADG, E is the midpoint of AD and EF is parallel to DG

By using the converse of midpoint theorem, we have;

F is midpoint of AG and A F = FG     ------(eq 1)

Likewise, In ΔBCF ;

D is the midpoint of BC and DG is parallel to BF  

G is midpoint of CF and FG is congruent to GC (FG ≅ GC) .........(eq 2)

From equations 1 and 2, we will get;

A F = FG = GC     -------(3)

Thus;

A F + FG + GC = AC

A F + A F + A F = AC (from eq 3)

3A F = AC

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Answer:

1600$

Step-by-step explanation:

By using the SI formula,

[tex]SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$[/tex]$

Option C) 1600$ is correct

Mark me brainliest

Answer:

No

Step-by-step explanation:

Functions must have only one answer for each x. However, in all the x values in this graph there are two answers.

The probability that the flight is less than 71 minutes is 0.1471

Let the distribution of the time to fly between New York City and Chicago be X

X~U(66,100)

where,

66 = minimum

100 = maximum

We need to find P(X<71)

We know that in the case of uniform distribution,

P(X<x) = (x - a) / b -a

where,

a = min value

b = max value.

Hence P(X<71)

= (71 - 66) / (100 - 66)

= 5/34

= 0.1471

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The given situation for the price according to the distance is not proportional.

Let the total distance covered by Tino is 'x'.

Let the total price be 'y'.

Then,

y = fixed price + additional price

y = $2 + $0.5x

For x = 1; y = $2.5   ---> x/y = 1/2.5

for x = 1; y = $3   ---> x/y = 2/3

for x = 3; y = $3.5   -----> x/y = 3/3.5

In all situations, ratio x/y is not constant.

Thus, the given situation for the price according to the distance is not proportional.

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Therefore the solution to this problem is the test statistic for the test  is  -0.487

What is test statistics ?

In statistical hypothesis testing, a test statistic is a statistic that is employed. A hypothesis test is often defined in terms of a test statistic, which is a numerical summary of a data set that can be used to execute the test and reduces the data to one value.

Here,

According to a report on the evening news show, burglaries occurred in 23 out of 197 residences without pets and 10 out of 129 homes with pets.

Let p1 represent the percentage of dog-owning homes who experienced burglaries.

p2 is the population proportion of burglarized homes without canine companions.

Since both population proportions are equal, the null hypothesis (H) is that p1=p2.

A Different Hypothesis, K:p1≠p2 indicates that there is an imbalance between the two population proportions.

The test results that would be utilized in this z-test for proportions with two samples;

                          T.S. = [tex]\frac{(p1^{'} -p2^{'} )-(p1-p2)}{\sqrt{\frac{p1^{'}1-p1^{'}()}{n1} +\frac{p2^{'}(1-p2^{'})}{n2} } }[/tex]~ N(0,1)

where,  p1= sample proportion of households with pet dogs who were burglarized =10/105  = 0.095

p2= sample proportion of households without pet dogs who were burglarized = 24/212 = 0.11

n1= sample of households with pet dogs = 105

n2 = sample of households without pet dogs = 212

So, the test statistics  =  [tex]\frac{(0.0095 -0.11 )-(0)}{\sqrt{\frac{0.095(1-0.095)}{105} +\frac{0.11(1-0.11)}{212} } }[/tex]

                                                                      =  -0.487

Therefore  ,the test statistic for the test is  -0.487

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The amounts in each mutual fund are $500 and $1800. By using a system of equations, the required values are evaluated.

The system of equations is a set of one or more equations that intersects at locations called solutions of the system.

The system of equations is solved for solutions in three different methods. They are the Elimination method, Substitution method, and Graphing method.

It is given that, an investor invested $2300 in two mutual funds.

Consider the amount invested in two mutual funds as fund1 = x and fund2 = y.

So, we can write the equation for the total investment is

x + y = 2300 ...(1)

The percentage of profit earned from the fund1 = 6% = 0.06

The percentage of profit earned from the fund2 = 4% = 0.04

The total profit for the investor = $102

Then, the equation from this statement is

0.06x + 0.04y = 102 ...(2)

Then the system of equations is

x + y = 2300 ...(1)

0.06x + 0.04y = 102 ...(2)

Applying the substitution method to solve the obtained system of equations.

So, from (1), we can write x = 2300 - y

Then, equation (2) becomes

0.06(2300 - y) + 0.04y = 102

⇒ 6(2300 - y) + 4y = 10200

⇒ 13800 - 6y + 4y = 10200

⇒ 13800 - 2y = 10200

⇒ 2y = 13800 - 10200 = 3600

∴ y = 3600/2 = $1800

So, the value of x is x = 2300 - 1800 = $500

Thus, the amount of investment in two mutual funds is $500 and $1800.

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Answer:

Step-by-step explanation:

J Square Roots and Cube Roots To find the square root of a number, you want to find some number that when multiplied by itself gives you the original number. In other words, to find the square root of 25, you want to find the number that when multiplied by itself gives you 25. The square root of 25, then, is 5. The symbol for square root is equation.

With 99% certainty, the population proportion of adults who say they have started paying bills online in the last year is between the given confidence interval's endpoints.

We have the following confidence interval of proportions in a sample of n people surveyed with a success probability of π and a confidence level of 1 - α.

Confidence interval = [tex]\pi[/tex] ± z [tex]\sqrt{\(\pi (1 - \pi ))/n}[/tex]

z = 1 - α/2

Here given, According to a survey of 3102adults, 1443 have begun paying bills online in the last year.

That is, n = 3102 and x = 1443

p = x / n

  = 1443 / 3102

  = 0.465

significance level = α

= 1 - confidence

= 1 - 0.99

= 0.01

zα/2 = z0.01 / 2 = 2.58

By substituting in confidence interval formula,

The lower limit is :

0.465 - 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]

= -0.01894056008

The upper limit is:

0.465 + 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]  

= 0.02722425658

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The lower limit is 0.456 and upper limit is 0.474

What is confidence interval?

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

As confidence interval (C) = π ± z√[π(1-π)/n]

In the above expression, z = 1 - α/2, where α is the significance level.

Given in the question, n=3102 as the survey was conducted on 3102 adults. Also, x=1443, as 1443 people have started paying bills online in last year.

π = x/n

Substituting the values, we get,

π = 1443/3102

⇒ π = 0.465

Confidence level(α) = 1 - confidence

= 1 - 0.99

= 0.01

Since, z = 1 - α/2

⇒ z = 1 - 0.01/2

⇒ z = 1 - 0.005

⇒ z = 0.995

By substituting in confidence interval formula,

The lower limit is = 0.465 - 0.995√[(0.465*0.535)/3102]

= 0.456

The upper limit is = 0.465 + 0.995√[(0.465*0.535)/3102]

= 0.474

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The percent of the kids scored a 90% is 82%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, some kids scored a 70% on a test and some scored a 90%.

Let x percent of the kids scored a 90%.

Now, x% of 76%=90%

0.01x×0.76=0.9

0.01x=0.9/0.76

0.01x=1.184

x=1.184/0.01

x=118%

So, 100-18=82%

Therefore, the percent of the kids scored a 90% is 82%.

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The correct answer is 64

Demoivre's theorem states that for all complex numbers z and all positive integers n:

z^n = (r^n) × (cos(n∅) + isin(n×∅))

where r is the magnitude of z and theta is the argument of z.

To use Demoivre's theorem to simplify (1−i)^12, we can first write (1−i) in polar form as r × cis(∅). where r is the magnitude and cis(∅) is the size complex number. is 1, the argument ∅. In this case the size of (1−i) is √(1^2 + (-1)^2) = √(2) and the argument of (1−i) can be found using the arctangent function.

∅ = arctan(-1÷1) = -45 degrees.

So (1−i) can be written as sqrt(2) × cis(-45 degrees). Applying this to Demoivre's theorem, we get:

(1−i)^12 = (√(2)^12) × (cos(-540°) + i×sin(-540°))

We can simplify this to:

(1−i)^12 = 2^6 × cis(-180°)

This can be further simplified as follows.

(1−i)^12 = 64 × (-1)

the final answer is -64.

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Answer: 122.5

Step-by-step explanation:

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5" overall diameter of the tire is indicated by the first digit.

Remembering that the tire diameter is made up of two sidewalls—the one above the wheel and the one below the wheel hitting the ground—and adding the diameter of the wheel, the sidewall height must be multiplied by two to determine the tire's overall diameter.

given ,

size = 210 / 60R17

The overall diameter of the tire is indicated by the first digit. The tire diameter or "height" in this illustration is 210 inches tall. The tire's breadth is shown by the second digit. When using tires with inch measurements, the width will typically contain a.50 decimal after the first digit.

the diameter of a P210/ 60R17 is 26.9" where width is 8.3" , sidewall 5"

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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The job paying a flat $20 should be chosen instead of the other two options for periods of at most 5 days.

The daily pay for each job is constant, hence they can be modeled by linear functions, in the slope-intercept format, as follows:

y = mx + b.

The coefficients of the linear functions are given as follows:

Hence the functions for each option are given as follows:

The third option is better when:

Which is why it should be chosen for periods of at most five days.

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Answer:

If the elimination produces the equation 0=0, then the two equations are for the same line.

Step-by-step explanation:

This means that there are an infinite number of solutions.

By using  Pythagorean theorem ,148  is the length of the side of the slab in inches .

What is the Pythagorean theorem in plain English?

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.

                    This is written as a2 + b2 = c2 in the usual algebraic notation.

12 inches = 1 feet  

 feet measurment = 407/12  = 33.91 feet

In triangle ABC

Using PYTHAOREAN THEOREM

               l² + b² = h²

             l = √h²  -  b²

            l =  √407² - 379²

            l = √165649 - 143641

            l = √22008

           l = 148.35

           l ≈ 148

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The given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Ax+By=C is the usual form for two-variable linear equations.

A standard form linear equation is, for instance, 2x+3y=5.

(A) x² - 4x + 5 = 0

LHS: x² - 4x + 5

= (2)² - 4(2) + 5

= 4 - 8 + 5

= -4 + 5

= 1

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

(B) x² + 3x - 12 = 0

LHS: x² + 3x - 12

= (2)² + 3(2) - 12

= 4 + 6 - 12

= 10 - 12

= -2

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

(C) 2x² - 7x + 6 = 0

Put x = 2

= 2(2)² - 7(2) + 6

= 8 - 14 + 6

= 14 - 14

= 0

RHS = 0

LHS = RHS

It has 2 roots.

(D) 3x² - 6x - 2 = 0

LHS: 3x² - 6x - 2

= 3(2)² - 6(2) - 2

= 12 - 12 - 2

= -2

RHS = 0

LHS ≠ RHS

Has no root that is 2 in it.

Therefore, the given equation (C) 2x² - 7x + 6 = 0 has 2 roots in it.

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Answer: 8x

Step-by-step explanation: We will start by writing out our equation which is 10x2y-2x2y. Next we will subtract using only like terms

10x - 2x = 8x

2y-2y=0

8x plus 0 = 8x.

[tex] \frac{7}{30} [/tex]

The solution is attached to the answer.

Hope understands