In year one, a dog's weight increased from 60 to 90 pounds. By what percentage did the dog's weight increase?

Answer:

1247.03

Step-by-step explanation:

if £1=$1.35

?=$125(crisscross them to get an answer.)

$125×£1÷$1.35=£92.59

if £1=$1.35

?=$6(crisscross to get an answer.)

$6×£1÷$1.35=£4.44

so you add them all up

£1150+£4.44+£92.59= £1247.03

The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24

We have to make 'y' the subject from the equation, we have;

x-3/2y=-12

By solving for the variable, we need to work it out.

Also, we have to make it stand alone on one end of the equality sign.

cross multiply the values

x - 3(1) = -12(2y)

multiply the values

x-3 = -24y

Make 'y' the subject by dividing both sides by the coefficient of y

y = x-3/-24

Hence, the equation is y = x-3/-24

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Answer:

The answer is 9

Step-by-step explanation:

1=x²-6x

(b/2)²=(-6/2)²=(3)²=9

Answer:Answer:\( P= 456 = 2X +2Y\)    (1)And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width

Step-by-step explanation:

5% as a ratio not in simplified form is 5/100 or 5:100.

To write a percent as a ratio, we can divide it by 100 and express the result as a fraction. For example, 5% can be written as 5/100.

So, according to the U.S. Census Bureau, 5% of Americans age 25 or older had completed a bachelor's degree or higher in 1940 can be written as a ratio as:

= 5/100

This fraction represents the ratio of Americans age 25 or older who had completed a bachelor's degree or higher in 1940 to the total number of Americans age 25 or older.

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\((\stackrel{x_1}{1}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{1}}} \implies \cfrac{ -1 }{ 7 } \implies - \cfrac{1 }{ 7 }\)

Since the sum of the interior angles of a triangle equals 180° and one of the angles is a right angle (90°), the sum of the remaining two angles must equal 90° (180°-90°=90°)

Answer:

1 in 3

Step-by-step explanation: I think don't quote me

To simplify the fraction, we can factor out the common term of xy from both the numerator and denominator, resulting in \((x^2 - 2xy) / [(2y - x) y]\).

To simplify the given algebraic fraction, we can use the factorization method by factoring out the common term of "xy" from both the numerator and denominator. This leaves us with the fraction:

\((x^3y - 2x^2y^2) / (2xy^3 - x^2y^2)\)

= \((xy) (x^2 - 2y) / (xy^2) (2y - x)\)

We can simplify the above expression by canceling out the common factor of "xy" in the numerator and denominator. This gives us:

\((x^2 - 2xy) / [(2y - x) y]\)

Thus, the simplified algebraic fraction is \((x^2 - 2xy) / [(2y - x) y]\).

It's important to note that when simplifying algebraic fractions, we can only cancel out common factors if they are present in both the numerator and denominator. In this case, the common factor was "xy". We factored it out from both the numerator and denominator, then cancelled out the factor to simplify the expression.

Furthermore, we can also see that the denominator of the simplified expression (2y - x) y has two factors. One of them is (2y - x), which is the difference between two terms, and the other one is y. We cannot simplify this any further since neither of these factors can be factored any further. Therefore, this is the final form of the algebraic fraction.

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0.0700 moles of aluminum participated in the chemical reaction.The stoichiometry states that in a chemical reaction, the reactants and products have a specific relationship between their molar ratios.

Stoichiometry is a section of chemistry that deals with calculating the proportions in which elements or compounds react. It is used to determine the amounts of substances consumed and produced in a chemical reaction. By comparing reactants' coefficients with product coefficients, stoichiometry uses quantitative measurements to determine the number of moles in a chemical reaction.

In this given question, we are supposed to determine the moles of aluminum that participated in the reaction. The number of moles of aluminum can be determined by the mole-to-mole ratio of the chemical reaction. For this, we must first write the balanced chemical reaction. Aluminum reacts with oxygen gas to form aluminum oxide.4Al + 3O2 → 2Al2O3.

The mole ratio of aluminum to aluminum oxide in the chemical reaction is 4:2 or 2:1. This means that for every 2 moles of aluminum oxide, there are 4 moles of aluminum.Using the mole-to-mole ratio, we can determine the number of moles of aluminum.0.0350 moles of aluminum is given in the problem.

Using the mole-to-mole ratio,2 moles of Al2O3 = 4 moles of Al0.0350 moles of Al2O3

= (4/2) × 0.0350 moles of Al

= 0.0700 moles of Al.

Therefore, 0.0700 moles of aluminum participated in the chemical reaction.

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In the given scenario, angle DBC is 51 degrees, and line segment BD is a diameter of circle E. Circle E is inscribed within triangle BCD, where BD is also a diameter.

Line segments DC and CB are secants. We need to determine the measure of arc BC.

Since line segment BD is a diameter, angle BDC is a right angle, measuring 90 degrees. We are given that angle DBC is 51 degrees. In a circle, an inscribed angle is equal to half the measure of its intercepted arc.

Therefore, the measure of arc BC can be calculated as follows:

Arc BC = 2 * angle DBC = 2 * 51 degrees = 102 degrees.

Hence, the measure of arc BC is 102 degrees.

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Answer:

-1/3

Step-by-step explanation:

slope=y2-y1/x2-x1=3-4/2--1=-1/3

The distance from the center of dilation, Q, to the image of vertex A will be 4 units.

According to the given rule of dilation, D subscript Q, two-thirds, the triangle ABC will be dilated with a scale factor of two-thirds centered at point Q.

Since point Q is the center of dilation and the distance from triangle ABC to point Q is 6 units, the image of vertex A will be 2/3 times the distance from A to Q. Therefore, the distance from A' (image of A) to Q will be (2/3) x 6 = 4 units.

By applying the scale factor to the distances, we can determine that the length of A'B' is (2/3) x  3 = 2 units, the length of B'C' is (2/3) x 7 = 14/3 units, and the length of A'C' is (2/3) x 8 = 16/3 units.

Thus, the distance from the center of dilation, Q, to the image of vertex A is 4 units.

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Answer:

a: y=70x

b: y=70x+100

c: They are parallel to each other, with equation b's line being 100 dollars above equation a.

Step-by-step explanation:

They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.

Based on the given information, we cannot determine which account earned more interest in the first year as we do not have the interest earned for the first 12 months.


- The question only provides information about the interest earned after 18 months and 27 months for Account A and B, respectively.
- To determine which account earned more interest in the first year, we need to know the interest earned after 12 months for both accounts.
- Without this information, we cannot accurately compare the two accounts' interest earnings in the first year.


Higher order thinking requires us to analyze and evaluate information to arrive at a conclusion. In this case, the question asks us to determine which account earned more interest in the first year, but the information provided is insufficient to do so. Therefore, we need to critically examine the given data and determine what else we need to know to answer the question accurately.

Account A earned $12.00 in interest after 18 months, but we don't know how much interest it earned after the first 12 months. Similarly, Account B earned $27.00 in interest after 27 months, but we don't know how much interest it earned in the first 12 months.

To compare the interest earnings in the first year, we need to know how much interest each account earned after the first 12 months. For example, if Account A earned $6.00 in interest in the first 12 months and then $6.00 in the next 6 months, its total interest earned in the first year would be $6.00. However, we don't have this information, so we cannot make an accurate comparison.

In conclusion, higher order thinking requires us to analyze and evaluate information to arrive at a conclusion. In this case, we need more information to determine which account earned more interest in the first year accurately. Therefore, we cannot provide a straightforward answer and must consider what information is missing to evaluate the given data accurately.

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Answer:

It can extend infinitely in one direction

The height of Reggie’s dog in feet and inches are,

⇒ 2.46 feet

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

Reggie’s dog is 75 centimeters tall.

We know that;

1 cm = 0 feet 0.394 inch

       = 0.0328 feet

Hence, The height of Reggie’s dog in feet and inches are,

⇒ 75 cm = 75 x 0.0328 feet

               = 2.46 feet

Thus, The height of Reggie’s dog in feet and inches are,

⇒ 2.46 feet

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Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

The Perimeter of the Parallelogram is:

\(64ft\)

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have \(204ft^{2}\).

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes \(64ft\).

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

Answer:

7

Step-by-step explanation:

42/6=7

Rafe and Ashley used approximately 5353.2 square inches of canvas to make the lamp.

Let's call the length of the base rectangle "L" and the width "W." From the picture, we can see that the base rectangle measures 18 inches by 18 inches. Therefore, the area of one base rectangle is given by:

Area of a rectangle = Length × Width

Area of one base rectangle = L × W = 18 in × 18 in = 324 square inches

Since there are two identical base rectangles, the combined area of both rectangles is:

Total area of base rectangles = 2 × Area of one base rectangle = 2 × 324 square inches = 648 square inches

Let's calculate the perimeter of the base rectangle first:

Perimeter of a rectangle = 2 × (Length + Width)

Perimeter of the base rectangle = 2 × (18 in + 18 in) = 2 × 36 in = 72 inches

Now, the height of the triangular prism is given as 20.1 inches. Therefore, the area of each lateral face rectangle is given by:

Area of a rectangle = Length × Width

Area of one lateral face rectangle = Perimeter of base rectangle × Height = 72 in × 20.1 in = 1447.2 square inches

Since there are three identical lateral face rectangles, the combined area of all three rectangles is:

Total area of lateral face rectangles = 3 × Area of one lateral face rectangle = 3 × 1447.2 square inches = 4341.6 square inches

The height of the triangular face is the same as the height of the prism, given as 20.1 inches. Therefore, the area of each triangular face is given by:

Area of a triangle = (Base × Height) / 2

Area of one triangular face = (18 in × 20.1 in) / 2 = 181.8 square inches

Since there are two identical triangular faces, the combined area of both triangles is:

Total area of triangular faces = 2 × Area of one triangular face = 2 × 181.8 square inches = 363.6 square inches

Now, to find the total surface area of the lamp, we sum up the areas of all the faces:

Total surface area = Total area of base rectangles + Total area of lateral face rectangles + Total area of triangular faces

Total surface area = 648 square inches + 4341.6 square inches + 363.6 square inches

Total surface area = 5353.2 square inches

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Complete Question:

Marius and his dad build a lamp in the shape of a triangular prism, open on the top and bottom. How many square inches of canvas did Marius and his dad use to make the lamp?

Answer:

sqrt( 58 )

Step-by-step explanation:

Use a^2+b^2=c^2

Answer:

9/8

Step-by-step explanation:

3/16 x 6

= 3/16 x 6/1

= 18/16

= 9/8

To set up an integral for the area of the surface obtained by rotating the curve x = y - y², we need to use the formula for the surface area of a revolution:

S = ∫2πy√(1 + (dy/dx)²)dx

First, we need to find dy/dx:

dy/dx = 1 - 2y

Next, we need to substitute x = y - y² into the formula:

S = ∫2π(y - y²)√(1 + (1 - 2y)²)dx

Finally, we need to rearrange the equation to get y in terms of x:

y - y² = x

y² - y + x = 0

Using the quadratic formula, we can solve for y:

y = (-1 ± √(1 - 4x))/2

Now we can substitute this back into the formula for S:

S = ∫2π((-1 ± √(1 - 4x))/2)√(1 + (1 - 2((-1 ± √(1 - 4x))/2))²)dx

This is the integral that we need to set up for the area of the surface obtained by rotating the curve x = y - y². We do not need to evaluate the integral, as the question only asks us to set it up.

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The annual interest rate for the bank account is r = 3.7 %

Given data ,

A = P(1 + r/n)^(nt)

where A is the amount after t years, P is the principal (initial amount), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

a)

To find the principal, we can use the information from the first year:

$1739.50 = P(1 + r/n)^(n*5)

$1739.50 = P(1 + r/n)^5

We don't know the values of P, r, or n, but we can simplify the equation by dividing both sides by (1 + r/n)^5:

$1739.50 / (1 + r/n)^5 = P

Now we can use the information from the second year to solve for r:

$1803.40 = P(1 + r/n)^(n*6)

$1803.40 = ($1739.50 / (1 + r/n)^5) * (1 + r/n)^6

Simplifying, we get:

$1803.40 = $1739.50 * (1 + r/n)

Dividing both sides by $1739.50, we get:

1.036928 = 1 + r/n

Subtracting 1 from both sides, we get:

0.036928 = r/n

b)

To find the annual interest rate, we need to solve for r.

We know that r/n = 0.036928, so we can solve for r by multiplying both sides by n:

r = 0.036928n

$1739.50 = P(1 + r/n)^5

Substituting r = 0.036928n, we get:

$1739.50 = P(1 + 0.036928n/n)^5

Simplifying, we get:

$1739.50 = P(1.036928)^5

Dividing both sides by (1.036928)^5, we get:

P = $1500

Now we can substitute P = $1500 and r/n = 0.036928 into the equation r = 0.036928n and solve for r:

r = 0.036928n = 0.036928 * 1 = 0.036928

Hence , the annual interest rate is 3.7%

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So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.

To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.

Given data:

Type of Transportation      Number of Visitors  Percentage

Walk                                    120                            120*100/ 300 = 40%

Bicycle                                 24                            24*100/ 300 = 8%        

Car Service                         45                            45*100/ 300 = 15%

Bus                                      30                            30*100/ 300 = 10%

Subway                               81                             81*100/ 300 = 27%

Total                                   300

So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.

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Answer:The race is 111.6

Step-by-step explanation:The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Answer:

If I am incorrect, please let me know.

Step-by-step explanation:

This is the work I did.

Please mark me brainliest :)

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

Answer:

(x-5)²=98/2

x-5=√98/2

98/2=49

x-5=√49

= 7

x= 5 ± 7

= 12,-2

ans is C