Writing about Changes in a Scale Factor
Explain how an enlargement or a reduction in the
dimensions of a building would cause a change in the
scale factor.
Need help fast

Answer:

i really don't know because i'm only in 7th grade but if this helps then yea

Step-by-step explanation:

Step 1: Set up the synthetic division. ...

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply c by the value just written on the bottom row. ...

Step 4: Add the column created in step 3.

Answer:

Step-by-step explanation:

The quadratic regression equation is y = 1.38x^2 - 5.77x + 0.96

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

(-1,8), (5,-4), (7,8), (2,-6)

Using a graphing calculator, we have the following summary:

function value

mean of x 3.25

mean of y 1.5

correlation coefficient r 0.9990171837

A 1.380577428

B -5.769028871

C 0.9553805774

The equation is represented as

y = ax^2 + bx + c

So,, we habe

y = 1.38x^2 - 5.77x + 0.96

Hence, the equation is y = 1.38x^2 - 5.77x + 0.96

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The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

5.3 x 10^-23 g

The answer on shape of house is , (1) A rectangle for the main structure of the house. (2) A triangle for the roof. (3) A rectangle for the front porch. (4) Two trapezoids for the roof of the front porch. (5) A rectangular door.

A trapezoid is a four-sided geometric shape with two parallel sides, called the bases, that are of different lengths, and two non-parallel sides that connect the bases. The non-parallel sides are also called legs, and they may or may not be equal in length.

Trapezoids are often encountered in geometry and in real-life situations, such as in construction and architecture. They can be classified as either right trapezoids or oblique trapezoids depending on whether one of the angles formed by the bases and a leg is a right angle or not.

Based on the image provided, the shapes that make up the front of the house are:

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Answer:

I think it might be $36,360.06

Step-by-step explanation:

Write 2 equations, multiply amount bought per month by number of months and add to the starting values :

Marko = 45 + 4M

Tamara = 61 + 2M

Set the equations equal to each other and solve for number of months:

45 + 4m = 61 + 2m

Subtract 45 from both sides:

4m = 16 + 2m

Subtract 2m from both sides:

2m = 16

Divide both sides by 2:

m = 8

Answer: 8 months

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer:

okay i'll keep this in mind

Step-by-step explanation:

In the coordinate plane, the vertices of triangle PAT are P(-1,-6), A(-4,5), and T(5,-2) forms an isosceles triangle.

To prove that triangle PAT is an isosceles triangle, we need to show that at least two sides of the triangle are congruent.

Let's calculate the distances between the vertices:

Distance between P and A:

PA = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-4 - (-1))² + (5 - (-6))²]

= √[9 + 121]

= √130

Distance between P and T:

PT = √[(5 - (-1))² + (-2 - (-6))²]

= √[(5 + 1)² + (-2 + 6)²]

= √[36 + 16]

= √52

= 2√13

Distance between A and T:

AT = √[(5 - (-4))² + (-2 - 5)²]

= √[(5 + 4)² + (-2 - 5)²]

= √130

We can see that PA = AT = √130, and PT = 2√13.

Since PA = AT, we have shown that two sides of the triangle are congruent.

Therefore, triangle PAT is an isosceles triangle.

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Answer:

approx 58 yard we can determine it by pithagoras theorem

The ratio of the lengths of  ( AD, IH ) is 2:1

A chord that passes through the center of the circle is known as diameter of he circle. Chords IH and EF are diameters of our given circle.

Point A is the center of this circle.

In the given diagram we have EF is the diameter of the circle.

BC is the chord of the circle and Diameter and chord length will vary.

AD is the radius of the circle and IH is the diameter of the circle.

Diameter of the circle IH is 2 times the radius AD

So,

The Answer is option B

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Answer:

69%

Step-by-step explanation:

Answer:

Part A:

To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.

Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135

Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54

Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189

Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100

Percentage = (189 / 205) x 100 = 92.2%

Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.

Part B:

To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.

Frequency of "Likes hamburgers" = 110 (given)

Total respondents = 205 (given)

Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents

Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%

Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.

Part C:

To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.

Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)

Marginal frequency of "Likes hamburgers" = 110 (given)

Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)

To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:

Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")

Ratio = 29 / (110 x 70)

Ratio ≈ 0.037 (rounded to three decimal places)

Answer:

-5, 5^-1, 0.5, 5^0

Step-by-step explanation:

The smallest number here is -5 as it is the only negative number.

5^-1 is equivalent to 1/(5^1) = 1/5, or 0.2,

5^0 = 1 as anything to the power of 0 is 1.

0.2 is larger than -5 but smaller than 0.5 and 1 and is therefore the second smallest.

0.5 is smaller than 1 and is therefore second largest.

So the final order is:

-5, 5^-1 (=0.2), 0.5, 5^0 (=1)

Hope this helped!

Answer:

\(\huge\boxed{-5,\ 5^{-1},\ 0.5,\ 5^0}\)

Step-by-step explanation:

\(5^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{for}\ a\neq0\\\\5^{-1}=\dfrac{1}{5^1}=\dfrac{1}{5}=\dfrac{1\cdot2}{5\cdot2}=\dfrac{2}{10}=0.2\\\\===============\\0.5\\\\===============\\-5\\\\===============\\5^0=1\ \text{because}\ a^0=1\ \text{for any number}\)

\(-5<0.2<0.5<1\\\\\text{therefore}\\\\-5<5^{-1}<0.5<5^0\)

The given equation is verified and the LHS and RHS are equal.

What is terignometry?

Trigonometry has a wide range of applications. The study of the connection between the sides and angles of the right-angle triangle is "trigonometry."  Therefore, using trigonometric formulas, functions, or trigonometric identities can help determine the absent or unknown angles or sides of a right triangle. Angles in geometry can be expressed as either degrees or radians. 0°, 30°, 45°, 60°, and 90° are some of the trigonometric angles that are most frequently used in computations.

Trigonometry Ratios - Sine, Cosine, Tangent

Given:

(6 cos 0 - 2 sin 0)² + (2 cos 0 + 6 sin 0)² = 40

                    (6 (1) - 2 (0))² + (2 (1) + 6(0))² = 40   (∵ cos 0 = 1; sin 0 = 0)

                                                  (6)² + (2)² = 40

                                                       36 + 4 = 40

                                                             40 = 40

Hence proved.

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We would be using conversion rates and dimensional analysis to solve this question.

The average weight of the chimpanzee in pounds is 114.73 lb

Step 1: 1 kg = 1000 g

Convert 52 kg to grams

1 kg = 1000g

52 kg = ?

Cross Multiply

52 kg x 1000g / 1 kg

= 52,000g

Step 2: Convert from grams to ounce

1 gram = 0.0353 ounce

52,000 g = ?

Cross Multiply

52,000g x 0.0353

= 1,835.60 ounces

Step 3: Convert from 0unces to pounds

16 oz = 1 lb

1835.6 = ?

Cross Multiply

1835.6 oz x 1 lb / 16

= 114.73 lb

Step 4: Using Dimensional analysis:

52 kg x  1000g/1 kg  x  0.0353 oz/ 1 gram  x  1 lb/16 0z  

= 114.73 lb

Therefore, the average weight of the chimpanzee in pounds is 114.73 lb.

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Answer:

42

Step-by-step explanation:

Because overall AED must add up to be 180, and we know that CED is 90, we can take our given, 48, and subtract it from 90 to get 42.

Answer:

∠AEB = 42°

Step-by-step explanation:

∠AEC = 90°

∠BEC = 48°

90 - 48 = 42

∠AEB = 42°

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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Answer:

B and D

Step-by-step explanation:

B.

5 x 9 + 7 = 52

45 + 7 = 52

52 = 52

D.  

6 x 9 + 4 = 58

54 + 4 = 58

58 = 58

Answer:

46=18+d

Step-by-step explanation:

Because 46 is total, it indicates that the equation equals 46, which can be written as =46

Total also indicates the addition

That means 18 PLUS a number (d) gives you 46

So 18+d=46

a) Using the standard divisors according to Jefferson's apportionment method, the number of salespeople assigned to work each shift is as follows:

Shift                              Morning     Midday     Afternoon     Evening   Total

Number of

salespeople assigned  1               3                  5                 7                16

b) The modified or adjusted divisor used represents the average number of customers for each shift divided by the standard divisor.

The standard divisor shows the ratio of the total population to the number of seats.

The standard divisor gives an insight about the number of people each seat represents.

Standard divisor = Total number of customers / Total number of salespeople

The total number of customers = 1,425

The number of salespeople = 16

a) Standard divisor = 1,425 ÷ 16

= 89.0625

Shift                              Morning     Midday     Afternoon     Evening   Total

Average number of

customers                     125            280             460             560       1,425

Standard divisor      89.0625     89.0625      89.0625      89.0625

b) Modified divisor     1.4035        3.1438          5.165           6.288

Number of

salespeople assigned  1               3                  5                 7                16

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Answer:

This will now be ⁴√(7^9)

Step-by-step explanation:

c=4

a=7

b=9

Answer:

  subtracting 56 instead of adding (or adding wrong)

Step-by-step explanation:

She wrote ...

  x - 56 = 230

  x - 56 - 56 = 230 -56 . . . . correct application of the addition property*

  x = 230 -56 . . . . . . . . . . . . incorrect simplification

Correctly done, the third line would be ...

  x -112 = 174

This would have made Sherina realize that the error was in subtracting 56 instead of adding it. The correct solution would be ...

  x - 56 + 56 = 230 + 56 . . . using the addition property of equality

  x = 286 . . . . . . . . . . . . . . . . correct simplification on both sides

__

There were two errors:

  1) incorrect strategy --- subtracting 56 instead of adding

  2) incorrect simplification --- simplifying -56 -56 to zero instead of -112

We don't know whether you want to count the error in thinking as the first error, or the error in execution where the mechanics of addition were incorrectly done.

_____

* The addition property of equality requires the same number be added to both sides of the equation. Sherina did that correctly. However, the number chosen to be added was the opposite of the number that would usefully work toward a solution.

Answer:

D: Sherina should have added 56 to both sides of the equation.

Step-by-step explanation:

I got a 100% on my test.

I hope this helps.

Answer:

Positive

Step-by-step explanation:

A negative divided by a negative can cancel out to make a positive. So, \(\frac{-4}{-5} = \frac{4}{5}\).

I hope this helps!

Answer:

i believe its positive because 2 negatives make a positive

(a) The radius of the original cone is 15 m.

(b) The volume of the frustrum is 11,686.72 m³.

(a) The radius of the original cone is calculated by applying the following formula.

R/H = r/h

where;

R/50 = 3/10

R = 50(3/10)

R = 15 m

(b) The volume of the frustrum is calculated by applying the following formula.

V = volume of bigger cone - cone of smaller cone

V = ¹/₃πR²H - ¹/₃πr²h

V = ¹/₃π(15)²(50) - ¹/₃π(3)²(10)

V = 11,780.97 m³  -  94.25 m³

V = 11,686.72 m³

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The expression using the common factor is 1/12xy(x² + 5y)

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

1/12 x^3 y + 5/12 xy^2

Rewrite properly

So, we have

1/12x³y + 5/12xy²

Factor out 1/12 from the expression

So, we have the following representation

1/12(x³y + 5xy²)

Factor out x from the expression

So, we have the following representation

1/12x(x²y + 5y²)

Factor out y from the expression

So, we have the following representation

1/12xy(x² + 5y)

Hence, the expression is (c) 1/12xy(x² + 5y)

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Answer:The expression using the common factor is 1/12xy(x² + 5y)

Step-by-step explanation:

The fraction represented on the number line is equivalent to 2/6 is 1/3.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2/6.

Now we have to find an equivalent fraction to 2/6

Let us divide both numerator and denominator  by the same number 2.

That is, 2÷2/6÷2

= 1/3

Hence, the equivalent fraction is 1/3.

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SOLUTION

STEP 1: Write the given unit of measurement

STEP 2: Convert to foot

By cross multiplication,

Hence, answer is 5906ft