Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A. Select all of the measurement pairs that could be the dimensions of rectangle B
A. 4.5 inches by 1.5
B. 8 inches by 2 inches
C. 10 inches by 4 inches
D. 13.5 inches by 4.5 inches
E. 90 inches by 30 inches

Answer:

126.5 or 126 and 1/2 (one half)

Step-by-step explanation:

To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.

54,262/52 = 1043 and 1/2 or 1043.5

Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.

and that number for 26 * 45 is 1170.

Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.

To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.

That is 126.5 or 126 and 1/2 (one half)

Given the expression:

The expression shows the distribution property of addition

So, 6 ( 3 +4 ) = 6 * 7 = 42

Which will give the same result if we distribute 6 over 3 and 4

So, 6 (3) + 6(4) = 18 + 24 =42

Show the following diagram:

As shown, the rectangle on the left side has 3 rows + 4 rows

Which will give us 7 rows when divided to 6 column will give 42 squares

While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares

So, 6 ( 3 + 4 ) = 6(3) + 6 (4)

Answer:

10:4

Step-by-step explanation:

it can be simplified

We can actually deduce here that the honey to oats ratio that doesn't follow the pattern in the table is: 10:4.

Ratio actually refers to the way that two or more numbers are compared in relation to their size to each other. It shows how much of one number is found in another.

From the honey to oats ratio, we can see that the pattern goes thus:

This is because 10 - 3 = 7

Then 15 - 7 = 8

Therefore, the ratio that doesn't follow the pattern is 10:4.

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Let's review the information given to us to answer this exercise correctly:

Distance a certain kind of bacteria moves per step = 0.0000004 meters

Let's answer the question, as follows:

Number of steps to move 1 meter = 1/Distance a certain kind of bacteria moves per step

Replacing with the values we know:

Number of steps to move 1 meter = 1/ 0.0000004

Number of steps to move 1 meter = 2'500,000

The bacteria will need 2'500,000 steps to move a distance of 1 meter

Answer:

H = Y (21, -12)

Step-by-step explanation:

Given

Solving

The required image point is H=Y(21, -12)

If the scale factor is given then by multiplying the scale factor with the co-ordinates gives us the image of the given point.

Here the given point is Y(-7, 4)

After the dilation centered at origin, the scale factor is -3

∴ The x co-ordinate is (-7)×(-3)=21

& the y co-ordinate is 4×(-3)= -12

Hence the image is Y(21, -12)

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Answer:

the answer is C. the lines cross or meet at exactly on point only.

Answer:

∠ S = 55°

Step-by-step explanation:

∠ R and ∠ S are vertical angles and congruent, thus

∠ S = ∠ R = 55°

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer: The proportion to find the average number of rose bushes per acre can be written as:

(number of rose bushes) / (number of acres) = (average number of rose bushes per acre)

We know the number of rose bushes (38,000) and the number of acres (14), so we can plug in these values and solve for the average number of rose bushes per acre:

38,000 / 14 = 2714.285714

Therefore, the average number of rose bushes per acre in the Tyler Municipal Rose Garden and Center is approximately 2,714.

Step-by-step explanation:

Therefore, when the number of copies made in a month is above 4000, company A's charges are higher than company B's charges in the given equation.

Let's start by setting up an equation to represent the cost of renting a copier from each company:

Cost for company A = 0.10x + 200

Cost for company B = 0.05x + 400

where x is the number of copies made in a month.

To find the number of copies above which company A's charges are higher than company B's charges, we need to set the two equations equal to each other and solve for x:

0.10x + 200 = 0.05x + 400

0.05x = 200

x = 4000

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Answer:

-0.7

Step-by-step explanation:

add +1.4m on both sides
then you got -1.1 + 0.4 = ?
and -1.1 + 0.4 = -0.7

Answer: It is -0.7

Step-by-step explanation:

-1.1-1.4m+0.4=x-1.4m

Add 1.4m to both sides which should look like this

-1.1-1.4m+0.4+1.4m=x-1.4m+1.4m

then you have to simplify you should have

-1.1+0.4=x

Then you add them which gives you your answer

-0.7

Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50

Step-by-step explanation:

Given the regression equation:

ŷ = -2.59 + 1.01x

We need to predict the value of ý when x (IQ score of the twin born first) is 109.

So we substitute x = 109 into the regression equation:

ŷ = -2.59 + 1.01(109)

ŷ = -2.59 + 110.09

ŷ = 107.50

Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.

Answer:

$7520.55

Step-by-step explanation:

Cost of truck = $8000

Residual value = $1000

Estimated useful life = 7 years

Depreciation = (cost of asset - salvage value) / useful life

Depreciation = (8000 - 1000) / 7

Depreciation = 7000 / 7

Depreciation = $1000

Truck was purchased on July 9, Therefore, Depreciation by the end of year one will be;

Number of days between July 9 and year end = 175 days

Daily Depreciation = $1000 / 365 = $2.739

Total Depreciation by year end = (daily Depreciation * 175 days) = $479.45.

Book value at the end of year 1 = (8000 - 479.45)

= $7520.55

Answer:

The answer is "$7,500".

Step-by-step explanation:

Formula:

In the month of July-December the depreciation:

\(\frac{\text{Cost-Residual}}{\text{Useful life}}\times \frac{6}{12} \\\)

Cost-Residual= costs -residual value

Given:

Cost-Residual = $8, 000 - $ 1,00

                        = $7,000

Useful life= 7 years

Put the value in the above-given formula:

\(=\frac{7 000}{7}\times \frac{6}{12}\\\\= 1 000\times \frac{1}{2}\\\\= 5 00\\\)

Therefore, the book value on point at the end of one year is:

= $8,000 -$ 500

= $7,500

The probability that Alex takes out three red apples is 1/30.

The probability that Alex takes out one green apple and two red apples is 1/10.

The probability that Alex takes out three red apples = (number of red apples / total number of apples) x (number of red apples - 1 / total number of apples - 1) x (number of red apples - 2 / total number of apples - 2)

4/10 x 3/9 x 2 /8 = 1 / 30

The probability that Alex takes out one green apple and two red apples = (number of green apples / total number of apples) x (number of red apples / total number of apples - 1) x (number of red apples - 1 / total number of apples - 2)

6/10 x 4/9 x 3/8 = 1 / 10

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The equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

In the question, we have been asked for the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury.

First, we will find the equations showing the level of mercury in each body of water.

For the first water body:

Initial measure of mercury = 0.05 ppb.

Rate of rising = 0.1 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.05 + 0.1y.

For the second water body:

Initial measure of mercury = 0.12 ppb.

Rate of rising = 0.06 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.12 + 0.06y.

We are looking for the equation, to find y, the year in which both bodies of water have the same amount of mercury.

As they will have the same amount of mercury, their respective equations showing the level of mercury should be equal, that is:

0.05 + 0.1y = 0.12 + 0.06y, which is the required equation.

Thus, the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

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For the complete question, refer to the attachment.

The number of ways in which the word detail can be arranged in such a way that the vowels occupy only the odd positions is 36.

We will find the number of permutations in which the word DETAIL can be arranged such that the vowels occupy odd positions.

The vowels are E, A and I. They can occupy 1st, 3rd and 5th position in any order. Hence, the number of ways to do that is 3! = 6.

Now, the consonants D, T and L can occupy 2nd, 4th and 6th position in any order. Hence, the number of ways to do that is 3! = 6.

Hence,

Total number of ways = 3! * 3! = 6*6 = 36.

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Answer:

216 cm²

Step-by-step explanation:

Applying,

V = lwh..................... Equation 1

Where V = volume of the cubiod, l = length of the base, width of the base, h = heigth of the cubiod.

From the question,

Since the base of the cubiod is squared,

Therefore,

w = l = 4 cm, V = 400 cm³

Substitute these values into equation 1

400 = 4×4×h

h = 400/(4×4)

h = 25 cm

A = lw+lh+wh.................. Equation 1

Where A = surface area of the cuboid.

Given: l = 4 cm. w = 4 cm, h = 25 cm

Substitute these values into equation 1

A = (4×4)+(4×25)+(4×25)

A = 16+100+100

A = 216 cm²

Answer:

(10,85)

Step-by-step explanation:

x=10

y=85

Answer:

185/9

Step-by-step explanation:

20 5/9

Multiply 20 by the 9 (the denominator), and you''ll get 180.

Add the 5 (the numerator) to 180, and you'll get 185.

Then, place 185 over the denominator which is 9 and you get 185/9!

Answer:

\(\frac{185}{9}\)

Step-by-step explanation:

This is the answer because:

1) The formula of changing mixed fractions to improper fractions is denominator times the whole number plus the numerator

2) Denominator = 9

Whole number = 20

Numerator = 5

9 x 20 + 5 = 185

Therefore, the answer is \(\frac{185}{9}\)

Hope this helps!

Answer:

B

Step-by-step explanation:

13a ^2+14-17a-12a ^2+12a+6a-a^ 2

=14-17a+12a+6a

=14+a    or     a+14

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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The sum of the solutions of the quadratic x² + 7x - 18 = 0 is -7.

Therefore the answer is -7.

Quadratic equations can have two solutions, which are also called roots. The sum of the solutions of a quadratic equation of the form ax² + bx + c = 0 where a, b, and c are constants can be found using the relation

sum of solutions = -b/ a

In this case, the quadratic equation is x² + 7x - 18 = 0, so a = 1, b = 7, and c = -18. Plugging these values into the formula, we get:

Sum of solution = -7/ 1

Sum of solution = -7

--The question is incomplete, the complete question is given below--

"Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

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The sum of the solutions of the

quadratic

x² + 7x - 18 = 0 is -7

The degree of the equation is 2 and so it will have 2 roots. This also means that the equation is a

quadratic equation

.

sum of solutions = -b/ a

The

roots

of the equations are -9 and 2.

Here a=1, b=7 and c= -18.

Hence

sum

of solutions = -b/a = -7/1 = -7

The question is

incomplete

, it should be "Find the sum of the solutions of the quadratic x² + 7x - 18 = 0."

The slope of the line is the steepness it shows. Mathematically the slope is represented as the change in y with respect to the change in x.

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Answer:no the -2/3 should be before -1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2/3 , -1/5 , 2/4

The correct option is (d)

He wrote commutative instead of associative in step 2.

According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.

Commutative property:  a+b = b+a

Associative property: (a+b) + = a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1:

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2.

He wrote commutative instead of associative in Step 2.

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I understand that the question you are looking for is:

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8

(a)-He wrote commutative instead of distributive in Step 4.

(b)-He wrote commutative instead of distributive in Step 2.

(c)-He wrote commutative instead of associative in Step 4.

(d)-He wrote commutative instead of associative in Step 2.

Answer:

Exact Area = 24pi square cm

Approximate Area = 75.36 square cm  (when using pi = 3.14)

Note: "square cm" can be abbreviated to "cm^2" without quotes.

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Explanation:

Let's find the area of the full circle with radius r = 12

A = pi*r^2

A = pi*12^2

A = 144pi  

This is the exact area of the full circle in terms of pi. To get the approximate area, you would replace pi with something like 3.14 (though you could use more decimal digits in pi to get a more accurate area).

We found the area of the full circle, but we only want a pie slice of it. Each slice is 60 degrees, out of 360 total. So that means we want 60/360 = 1/6 of the full area.

In other words, there are 6 slices because 360/60 = 6, which means we'll divide the area we got by 6

(144pi)/6 = (144/6)pi = 24pi

The exact area of the pie slice is 24pi square cm

If you used the approximation pi = 3.14, then that leads to an approximate answer of 24*pi = 24*3.14 = 75.36 square cm

Answer:

x = 2 , y = 29

Step-by-step explanation:

if the quadrilateral is to be a parallelogram , then

• opposite sides are congruent

• opposite angles are congruent

Then

2x + 9 = x + 11 ( subtract x from both sides )

x + 9 = 11 ( subtract 9 from both sides )

x = 2

and

3y + 19 = 106 ( subtract 19 from both sides )

3y = 87 ( divide both sides by 3 )

y = 29

Answer:

Step-by-step explanation:

as i think it is triangle which means the sum of interior angle 180

14x+13+4x+13+6x+2=180

24x+28=180

24x=152

x=6.2

Answer:

The answer is -285

Step-by-step explanation:

Answer:

6×2 = 12

Step-by-step explanation:

for each of the 6 possible outcomes of the die are 2 possible outcomes of the coin.

so, 6×2 = 12 different possible outcomes.