Determine if the table below is proportional?

ANSWER

EXPLANATION

The given translation

This means the shape will be translated 3units to the right and 2 units up.

That is;

Answer:

length = 28 feet

Step-by-step explanation:

let length = x

width = 2x - 40 3/4

         = 2x - 163/4

         = 2x - 40.75

perimeter of a rectangle = 2(l+w)

according to the question:

86 1/2 = 2(l+w)

86.5 = 2(x + 2x - 40.75)

86.5 = 2(3x - 40.75)

86.5 = 6x - 81.5

86.5 + 81.5 = 6x

thus, x = 28

The residuals in a regression equation measure the impact of firm-specific events.

Residuals = Actual y value  - Predicted y value

Residual analysis is a helpful set of methods for assessing the quality of a fitted model. Checking the underlying assumptions is crucial because most linear regression estimators depend on independent errors with the same distribution and a correctly stated regression function in order to be consistent. Regression is a statistical technique used in finance, investing, and other fields that aim to ascertain the strength and nature of the relationship between a single dependent variable (often represented by Y) and a number of other factors (known as independent variables).

The residuals in a regression equation measure the impact of firm-specific events.

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Answer:

x=-2 y=-5

x=5 x=2

By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:

Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:

y = kx

Where:

For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

k = y/x

k = (3/8)/3

k = 3/24

k = 1/8

For dimension 1, we have:

k = y/x

k = (6)/(3/4)

k = 24/3

k = 8 (No).

For dimension 2, we have:

k = y/x

k = (1/2)/4

k = 1/2 × 1/4

k = 1/8 (Yes).

For dimension 3, we have:

k = y/x

k = (1 1/8)/9

k = (9/8)/8

k = 9/8 × 1/8

k = 9/64 (No).

For dimension 4, we have:

k = y/x

k = (3)/(5 5/8)

k = 3/(45/8)

k = 3 × 8/45

k = 24/45 (No).

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Complete Question:

Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.

Answer:

(a)

[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]

(b)

[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]

(c)

[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]

Answer:the answer is a

Step-by-step explanation:

Eli could buy is at least 24 sets of knives

From the question, we have the following parameters:

Let the number of sets be x

So, we have the following representations

Number of knives needed = Number of knives needed + Number of knives per set x Number of set

So, we have

312 + 10x ≥ 546

Evaluate the like terms

10x ≥ 234

Divide by 10

x ≥ 23.4

Rewrite as

x ≥ 24

Hence, the number of sets of knives Eli could buy is at least 24

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Answer:

Inequality: 312+10x≥546

x≥24

Step-by-step explanation:

its the same as the bottom

Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

2(5 + X) - 1 = 3X + 9

Step 1: Expand the terms in the bracket

=> 2 x 5 + 2 x X - 1 = 3X + 9

=> 10 + 2X - 1 = 3X + 9

Step 2: collect like terms

=> 2X - 3X = -10 + 1 + 9

=> -X = 0

We have:

These fractions are equal because the x is found by multiplying and it is as if we have this:

And as we already know:

Answer:

Whats the question?

The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is  0.26724 or 26.724%

Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85

The probability that the first productive well is found on the third attempt is when outcomes are independent

P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375

We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85

We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p

Then corresponding probabilities are added

p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276

Using the complement rule:

p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %

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If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.

The kinetic energy is given as,

KE = (mv²)/2

Where m is the mass and v is the velocity.

Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.

The velocity is given as,

v = 1.5/12.5

v = 0.12 km/min

v = 0.12 x 1000 / 60

v = 2 m/s

Then the kinetic energy of Shawn will be given as,

KE = (48.1 x 2²) / 2

KE = 48.1 x 2

KE = 96.2 J

If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.

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Answer:

She has 3 dresses for sure! But I don't know the percentage!

Given data:

The given graph of the polynomial.

The value of the given polynomial is zero, at x=-3, -1, and 3.

Substitute -3 for x in the expression of the first polynomial.

Substitute -1 for x in the expression of the first polynomial.

Substitute 3 for x in the expression of the first polynomial.

As all the points are satisfied for the first option.

TThus, the first option is correct.

Answer:

-7, -6, -4, -2, 7

Step-by-step explanation:

f(-4) = -4 - 3

f(-4) = -7

f(-3) = -3 - 3

f(-3) = -6

f(-1) = -1 - 3

f(-1) = -4

f(1) = 1 - 3

f(1) = -2

f(10) = 10 - 3

f(10) = 7

The time for the two vehicle will meet is 0.4 hours .

According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.

The distance apart of the cars is 34 miles.

Speed is measured as the ratio of distance to the time in which the distance was covered.  

In other words, speed is the distance travelled per unit of time.

speed = distance / time

Therefore,

distance = speed × time

Hence,

let

x = time use by the car

Therefore, the total distance can be express as follows:

55x + 30x = 34

85x = 34

divide both sides by 85

85x / 85 = 34 / 85

x = 0.4 hours.

Therefore, it will take 0.4 hours for the cars to meet.

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Answer:

Step-by-step explanation:

1.34(b + 2) = 9.38
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex]
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex] x [tex]\frac{100}{100}[/tex]
=>  b+2  = 7
=> b = 7-2
=> b = 5

To solve the equation, we must subject b
so as 1.34 is in multiplication form with (b+2), if we take it to the other side of equals sign, it will be inverse which means it will be dividing 9.38

by multiplying 100/100 with the fraction, the  decimals can be removed (100 because the dot of decimal is considered one and there are two digits after dot, so two zeroes)
then by simple division we can find 7
then as 2 is added with be if it goes to other side it will be inverted and be subtracted from 7
so we get 5

There were 13 salmon fillets that the restaurant served.

The solution to this math problem involves fractions, especially percentage. A percentage is a fraction of a hundred. The literal meaning of percentage is "per 100". Percentage is often referred to as percent. The symbol or sign for percentage is %. The number beside the symbol/sign is the numerator, so for example, 10% can also be written as 10/100.

We're given that 25% of the dinner specials served by the restaurant were salmon fillets. In order to find out how many salmon fillets were served, we only need to multiply 52 by 25%.

52 × 25% =

52 × 25/100 =

(52 × 25)/100 =

1,300/100 = 13

There were indeed thirteen salmon fillets served by the restaurant.

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Answer: No

Step-by-step explanation:

The segments are not indicated to be congruent.

The parent function of the graph is

The function of the grapg will be

at x equals infinity y equals 1

Therefore

Therefore the function will now be

from the graph

x = 2 when y = 2

Therefore,

Therefore, the function is

The number of soda bottles = 4

The number of sugar bottles = 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

Let the number of soda bottle = x

And, The number of sugar bottle = y

Since, Total number of bottles = 11

So, We can formulate;

⇒ x + y = 11    .... (i)

And, Weight of each bottle of soda = 45 grams

Weight of each bottle of sugar = 15 grams

Total weight of sugar and soda = 285 grams

So, We can formulate;

⇒ 45x + 15y = 285   ... (ii)

Multiply by 15 in equation (i) and subtract from (ii), we get;

⇒ 45x + 15y - 15x - 15y = 285 - 165

⇒ 30x = 120

Divide by 30;

⇒ x = 4

Hence,  x + y = 11    

4 + y = 11

y = 11 - 4

y = 7

So, The number of soda bottles = 4

The number of sugar bottles = 7.

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The most appropriate choice for linear equation will be given by -

The integers are 26, 28, 30

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Let the integers be x - 2, x, x + 2

Sum = x - 2  + x + x + 2 = 3x

20 less than Four times the first = 4(x - 2) - 20

By the problem,

[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]

The integers are 28 - 2, 28,  28 + 2

The integers are 26, 28, 30

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Given the expression:

We start from the parenthesis inside the brackets. We know that 3-2=1, then:

now, we have that 10^2=100 and 2*11 =22, then:

therefore, the result of simplifying the expression is 78

Answer:

ewan ko po pero yan yung alam ko4.3%

I hope its help

Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x

Step-by-step explanation:

a)

12 +15 = 3 *9

27= 27

1

B) 15=15

=1

c) 3*20=12*5

60=60

=1

d)  4=4

=1

Larger number: 12

Smaller number: 1

Let Statements:

Let x = the larger number

Let 1/2x - 5 = the smaller number

Equation:

x + (1/2x - 5) = 13

1.5x - 5 = 13

1.5x = 18

x = 12

Solutions:

The larger number = x = 12

The smaller number = 1/2x - 5 = 1/2(12) - 5 = 6 - 5 = 1