The price of an item has been reduced by 95%. The original price was $33.

As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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We can prove that if a and b are positive integers, then there is a smallest positive integer of the form a − bk, where k ∈ z. Let x = a − bk be a positive integer, where k ∈ z.

Assume that x is not the smallest such positive integer, so there exists a y < x that can be expressed as a − bm, where m ∈ z. We can then express y as y = a − bm = a − b(k + (m − k)).

We know that m - k is an integer, and since b > 0, this means that a − b(k + (m − k)) < a − bk, which is a contradiction, since we assumed that x was the smallest such positive integer. Therefore, x must be the smallest positive integer of the form a − bk, where k ∈ z.

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Answer:

i think it is 5 feet

Step-by-step explanation:

i hope this helps

Answer:

The numbers in order from the least to greatest are

2.291      2.276      2.221        2.26        2.14        2.2  

Step-by-step explanation:\

Just like fractions, decimals are worth less the more there is...

Answer:

B

Step-by-step explanation:

RU intersect the angle

Answer:

8

Step-by-step explanation:

All absolute values are positive and the greatest positive number is 8

Answer: a rise of 12 and a run of 7

Step-by-step explanation:

The number that is not equal to the others is d.

a. 0.84% is equal to 0.0084 in decimal form.

b. (0.21)(0.04) is equal to 0.0084.

c. 8.4 * \(10^-^2\) is equal to 0.084. This is the same as 8.4 divided by 100, which is 0.084.

d. This is the number that is not equal to the others. We don't have the value of d.

e. 21/25 * \(10^-^2\) is equal to 0.0084. When we divide 21 by 25 and multiply the result by \(10^-^2\), we get 0.0084.

To summarize, all of the given numbers (a, b, c, and e) are equal to 0.0084 except for d, which doesn't have a specified value. Therefore, d is the number that is not equal to the others.

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Sarah use for each cup of water is 3/8

Now, According to the question:

What is a fraction in math?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

She uses 1/4 cup of grape juice for every 2/3 cup of water.

Let Sarah use for each cup of water be x.

To construct table of grape juice and cup of water.

Grape juice                                     Cup of water

   1/4                                                          2/3

     x                                                             1

Now, Solving the fractions

\(\frac{1}{4}/x\)     =    \(\frac{2}{3}/1\)

8x =  3

x = 3/8 cup

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The solutions to the initial value problem dy/dt = etyln(y), y(0) = e³e are y = e^(e^(t + 3e)) and y = e^(-e^(t + 3e)).

The initial value problem dy/dt = etyln(y), y(0) = e³e has solutions y = e^(e^(t + 3e)) and y = e^(-e^(t + 3e)). By separating variables and integrating, the equation is transformed into ln|ln(y)| = t + 3e. After applying the initial condition, the constant of integration is determined as 3e. Considering both positive and negative cases, the solutions for y are obtained. These solutions capture the behavior of the system and satisfy the given initial condition, allowing us to understand how the dependent variable y changes with respect to the independent variable t in the given differential equation.

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Answer: directrix.

hoped this helped lmk if it did

Answer:

92

Step-by-step explanation:

Answer:

52.5

Step-by-step explanation:

If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

To calculate the monthly payment for each financing option, we'll use the information provided:

1. 0% financing for 48 months:

Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.

Purchase Price: $26,050

Number of Months: 48

Monthly Payment = Purchase Price / Number of Months

Monthly Payment = $26,050 / 48 ≈ $543

Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.

2. Rebate offer and car loan at the bank:

If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:

Purchase Price: $26,050

Rebate Offer: $2,900

Remaining Balance = Purchase Price - Rebate Offer

Remaining Balance = $26,050 - $2,900 = $23,150

Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:

Remaining Balance: $23,150

Interest Rate: 5.24% (compounded monthly)

Number of Months: 48

Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

First, let's calculate the Monthly Interest Rate:

Monthly Interest Rate = Annual Interest Rate / 12

Monthly Interest Rate = 5.24% / 12 ≈ 0.437%

Now, we can calculate the Monthly Payment using the formula mentioned above:

Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))

Monthly Payment ≈ $557

Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).

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You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.

Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.

To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.

The steps for finding the inverse of a modulo are as follows:

1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").

2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).

3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.

4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".

In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.

For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.

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In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

The load from the structural element is transferred to the foundation at a bearing point, which is often a concentrated load point.

To avoid structural failure, settling, or excessive deflection of the part, it is crucial to make sure the bearing point is properly designed and supported.

Since the bearing of C from A is 050°, we can find the bearing of A from C by adding 180° to 50°, which gives us:

Bearing of A from C = 50° + 180° = 230°

Therefore, In the context of engineering and construction, a bearing point refers to a specific location or area. The bearing of A from C is 230°.

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Complete question -

Answer:

6.5625 gal per hour

Step-by-step explanation:

Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour. Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour. Written as a mixed fraction: 6 9/16 gal per hour.

The remainder when f(x) is divided by x-1 can be calculated using the division theorem.

The remainder when f(x) is divided by x-1 is 6.

remainder is 6 and divisor is x-1.

According to the division theorem, when a polynomial function is divided by another polynomial function, the remainder is equal to the function evaluated at the point where the divisor of the division equation is equal to zero.

In this case, the divisor is x-1, and when x-1 is equal to zero, then x = 1.

Therefore, the remainder when f(x) is divided by x-1 can be calculated by evaluating the function f(x) at x = 1:

\(f(1) = 2(1)^3 + (1)^2 + 3\)

= 2 + 1 + 3

= 6

f(1) = 2(1)³ + (1)² + 3 = 6

Therefore, the remainder when f(x) is divided by x-1 is 6.

remainder is 6 and divisor is x-1.

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Answer:

P(40) = 64, P(50) = 70, P(60) = 72,

P(70) = 70

60 minutes is correct.

This question was not properly written

Complete Question

Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make

Answer:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

Approximately as a whole number , he can make 3 batches of brownies from 3/2 cups of chocolate left

Answer:

U 0,-2    S -2,-1   T -3 -5  will be the new points

Step-by-step explanation:

Answer:

$60.

Step-by-step explanation:

Cost price=  $50

Selling price = $80

Percentage markup = Gain/Cost price x   100%

=30/50x100

=$60.

Answer:

Step-by-step explanation:

Given ratio of boys and girls in the class =7:5

No of boys is 8more than the girls

So

Let no of boys in the class =7x

No of girls in the class=5x

7x=5x+8

2x=8

X=8/2

X=4.

Total strength =no of boys + no of girls

=7x+5x

=7×4+5×4

= 28+20

=48.

Total strength in the class is 48.

Answer:

Total class strength = 48

Step-by-step explanation:

Boys : Girls = 7 : 5

Number of boys  = 7x

Number of girls = 5x

7x - 5x = 8

      2x = 8      

       x = 8/2

       x = 4

Total strength = 7x + 5x = 12x = 12*4  = 48

The expression  4x²×\(\sqrt{5x^{4} }\) ×3\(\sqrt{5x^{8} }\) is equivalent to 60 \(x^{8}\) if x≠ 0 which is option B

We have to simplify the given equation 4x²×\(\sqrt{5x^{4} }\) ×3\(\sqrt{5x^{8} }\) in order to find its equivalent

Which can be simplified using the basics of square and square roots

Square and square root gets cancelled for example \(\sqrt{x^{2} }\) = x and powers get added when same bases are multiplied for example x² × x³ = \(x^{2+3}\) =\(x^{5}\)

Also √25 can be written as  5

At x = 0 the whole expression can be written as zero

4x² ×√\(\sqrt{5x^{4} }\) ×3\(\sqrt{5x^{8} }\)

12x²×\(x^{2} \sqrt{5}\) ×\(x^{4} \sqrt{5}\)

12\(x^{8}\) ×√25

60 \(x^{8}\)

Hence, The expression  4x²×\(\sqrt{5x^{4} }\) ×3\(\sqrt{5x^{8} }\) is equivalent to 60 \(x^{8}\) if x≠ 0 which is option B

The correct question is Select the correct answer.

Which expression is equivalent to 4x²√5x4 3√5x8, if x≠0?

OA. 12x¹0 √5

OB. 60x8

OC.35x18

O D. 7x¹⁰ √5

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ANSWER

C. 12

EXPLANATION

1/3 of the pizzas is:

Therefore, 6 pizzas were cheese and the rest were pepperoni:

There were 12 pepperoni pizzas.

(a) Consider the (ordered) bases \(\(B = \{1, 1+t, 1+2t+t^2\}\)\) and \(\(C = \{1, t, t^2\}\) for \(P_2\).\) Find the change of coordinates matrix from \(\(C\) to \(B\).\)

(b) Find the coordinate vector of \(\(p(t) = t^2\) relative to \(B\).\)

(c) The mapping \(\(T: P_2 \to P_2\), \(T(p(t)) = (1+t)p'(t)\)\), is a linear transformation, where \(\(p'(t)\)\) is the derivative of \(\(p(t)\).\) Find the \(\(C\)\)-matrix of \(\(T\).\)

Please note that \(\(P_2\)\) represents the vector space of polynomials of degree 2 or less.

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The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the number of hours be x

Let the number of boxes be y

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 5 , 60 )

Now , the slope of the line m = y/x

Substituting the values in the equation , we get

Slope m = 60 / 5 = 12

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 60 = 12 ( x - 5 )

y - 60 = 12x - 60

y = 12x

Now , when x = 18 hours

y = 12 ( 18 ) boxes

y = 216 boxes

Hence , the number of boxes is 216 boxes

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Answer:

\((0,-1)\)

Step-by-step explanation:

\((x^{2} -x^{1} )(y^{2} -y^{1} )\)- the formula

\((-1 - -1) = 0\)

\((-8 - -7) =-1\)

So, the answer is:

\((0,-1)\)

or

\(0=-1\)

  ^

this is the swiggly line

Answer:

n=-1

Step-by-step explanation:

Writing out the problem

8=-6n-2n

Simplifying "-6n-2n," which is -8n

8=-8n, or -8n=8

-8n=8

Divide both sides by -8

-8n/-8=8/-8

So, therefore, you get n=-1.

Hope this helps! Enjoy your day, and take care!

The given numerical value  is a Statistic.

Parameters are numeric values ​​that characterize the population as a whole. A statistic is a number that describes the characteristics of a sample.

For example, median income in the United States is a demographic parameter. Conversely, the median income for the US sample is a sample statistic. Both values ​​represent median income, but one is a parameter to the statistic. Easy to remember parameters and stats! Both are summary values ​​that describe the group, and have a convenient mnemonic device to remind you which group is being described. Notice their initials.

Parameter = Population

Statistics = Sample

A population is the entire group of people, things, animals, trades, etc. that are being studied. A sample is part of a population.

Following the election, 18 % of the governors of all 50 areas of a country were female.

Given that, 18% of the 50areas of a country  were females.

Now,

18*50/100 = 9

Since it is  a perfect number

The given numerical value  is a statistic.

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