square with a perimeter of 240 inches is dilated by a scale factor of 1.5. what is the area of the dilated image of the square?

Answer:

The first graph.

Hope this helps :)

Step-by-step explanation:

The y-intercept in the equation y = x^2 - 1 is -1.

So the first graph represents the point where the line intercepts the y-axis which is at - 1.

The y-intercept for the second graph is not - 1.

So the first graph would be correct for the equation

So the first graph would be correct for the equation y = x^2 - 1

The volume is 3105 and the surface area is 1742

The given parameters are

Length = 27 yards

Width = 23 yards

Height = 5 yards

The volume is

Volume = Length * width * height

So, we have

Volume = 27 * 23 * 5

Evaluate

Volume = 3105

The surface area is

A =2 *(LW + LH + WHW)

So, we have

A = 2 * (27 * 23 + 27 * 5 + 23 * 5)

Evaluate

A = 1742

Hence, the volume is 3105 and the surface area is 1742

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Answer:

18/20 * 17/19 ≈ 0.805263158

Step-by-step explanation:

18/20 for the first chocolate not to be coco cream

then, the number of non-coco ones is lowered by 1 and the number of total too, so

17/19 for the second chocolate not to be coco cream

The chance that neither of the 2 chocolates is coconut cream is 18/20*17/19 ≈ 0.805263158

Answer:  y = –13.5x + 60

Step-by-step explanation:

The value of the given expression is  -121/ 30.

PEMDAS stands for parentheses, exponents, multiplication, division, addition, then subtraction. It is basically the rule of the order in which a mathematical expression must be solved.

Here, we are given an expression- -2/3 (1.5 ÷ 0.25 ÷ 5/4) -5/6

It can be written as -2/3 (15/10 ÷ 25/ 100 ÷ 5/4) -5/6

= -2/3 (3/2 ÷  1/4 ÷ 5/4) -5/6

As per the rules of PEMDAS, we first deal with the terms inside the bracket-

(3/2 ÷  1/4 ÷ 5/4) = (3/2 × 4 × 4/5)

= (3 × 2 × 4/5)

= 24/5

Thus, the expression becomes-

-2/3 (24/5) -5/6

= -48/ 15 - 5/6

LCM of 15 and 6 is 60

⇒ -(48 × 4)/ 60 - (5 × 10)/ 60

-192/ 60 - 50/ 60

= (-192 - 50)/ 60

= -242/ 60

= -121/ 30

Thus, the value of the given expression is  -121/ 30.

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a. triangle P been rotated by 90 degree in anticlockwise direction

b. triangle P been rotated by 270 degree in clockwise direction

What is angle of rotation ?

In mathematics, the angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

a. if we rotate the triangle P at 90 degree, from point O at anticlockwise direction, we get triangle Q

b. if we rotate triangle P at 270 degree from point O at clockwise direction, we get triangle Q

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The first term of the arithmetic sequence [tex]a_{1}[/tex] is -9

As per the question statement, we are given an arithmetic sequence whose 12th given term is 13 and common difference is 2. We are supposed to find the first term [tex]a_{1}[/tex].

We know that the [tex]n_{th}[/tex] term in an arithmetic sequence is given by:

[tex]a_{n} = a_{1}+(n-1)d[/tex]

where "n" is the number of terms and "d" is the common difference.

Now in question, [tex]a_{n} =a_{12} =13[/tex]

[tex]d=2[/tex]

[tex]n=12[/tex] and we have to find [tex]a_{1}[/tex]

Substituting values,

[tex]13=a_{1} +(12-1)*2\\13=a_{1} +11*2\\13=a_{1}+22\\a_{1} = -9[/tex]

Hence [tex]a_{1} = -9[/tex]

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Answer:

x = 0 or x = 1/4

Step-by-step explanation:

f(x) = 4x^2-x-3 = -3

4x^2 - x - 3 = -3

4x^2 - x = 0

x(4x - 1) = 0

x = 0 or 4x - 1 = 0

x = 0 or x = 1/4

Answer:

The values for x are x =0  x = 1/4

Step-by-step explanation:

f(x)=4x^2-x-3

find f(x) = -3

Let f(x) = -3

Solve for x

-3 = 4x^2-x-3

Add 3 to each side

-3+3 = 4x^2-x-3+3

0  = 4x^2-x

Factor out an x

0 = x( 4x-1)

Using the zero product property

0 = x    4x-1 =0

0=x     4x=1

0=x   x = 1/4

The values for x are x =0  x = 1/4

Fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

A proportion can be defined as an expression which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Next, we would determine the ratio of the energy released by elements A and B:

EB : EA = EB/EA

Ratio = 1.3 × 10¹⁰/5.1 × 10⁸

Ratio = 25.49 ≈ 26.0

Therefore, fission of 1 kg of element B releases 26 times as much energy as burning 1 kilogram of element A.

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Complete Question:

Use the table to the right to answer the following question.

Compare the energy released by fission of 1 kilogram of element B to that released by burning 1 kilogram of element A.

Energy released by burning 1 kilogram of element A is 5.1 × 10⁸

Energy released by fission of hydrogen in 1 kilogram of element B is 1.3 × 10¹⁰

Fission of 1 kg of element B releases ____ times as much energy as burning 1 kilogram of element A. ​(Round to the nearest whole number as​ needed.)

Answer:

Hello. The domain is (-5, 5), which translates to option D.

-5 ≤ x ≤ 5

Answer:

its 5 good luck

Step-by-step explanation:

Answer:

40 - 35 = 5 dollars more

Jennie median = 40

Markos median = 35

Subtract and it equals = 5

Hope this helps with your question :)

The inequality between (5/6), (1/2), (3/9) and 1 can be best described by

[tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6} < 1][/tex].

As per the question statement, we are provided with three proper fractions, (5/6), (1/2), (3/9) and an integer, 1.

We are required to correctly compare the inequality between the question mentioned terms.

Since all three fractions are proper fractions, i.e., their numerators are less than their denominators, hence, all three fractions are less than the integer 1.

Thus, we are required to determine the order of magnitude between the fractions. To do so, we will calculate the L.C.M of the denominators.

L.C.M of 2, 6 and 9 is 18.

Therefore, we will multiply both the numerator and denominators of (5/6) with 3, and we will obtain [tex]\frac{5*3}{6*3} =\frac{15}{18}[/tex].

Similarly, we will multiply both the numerator and denominators of (1/2) with 9, and we will obtain [tex]\frac{1*9}{2*} =\frac{9}{18}[/tex].

Finally, we will multiply both the numerator and denominators of (3/9) with 2, and we will obtain [tex]\frac{3*2}{9*2} =\frac{6}{18}[/tex].

Now comparing [tex][\frac{15}{18}, \frac{9}{18}, \frac{6}{18}],[/tex] we can see than all the denominators are now same (18). Hence, the order of magnitude of the fractions can be determined in the order of magnitude of the numerator values, i.e.,

[15 > 9 > 6] or, [6 < 9 < 15].

Therefore, [tex][\frac{6}{18} < \frac{9}{18} < \frac{15}{18}][/tex], or, [tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6}][/tex].

And since 1 is greater than any proper fraction, The inequality between (5/6), (1/2), (3/9) and 1 can be best described by [tex][\frac{3}{9} < \frac{1}{2} < \frac{5}{6} < 1][/tex].

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Answer:

24cm

Step-by-step explanation:

24÷2=12

1/2×b×h=1/2×12×10

=60cm

60-24=36

36-12=24cm

AustralianFish=24cm

Answer:

2.16

Step-by-step explanation:

if I understand the description correctly:

3.5*x / 9 = 4.2 / 5

3.5x = 4.2*9 / 5

x = 4.2*9 / 5*3.5

x=2.16

Answer:

first choice on the left.

Step-by-step explanation:

Comment

That is not the easiest graph I've seen to interpret. What it shows is that each cup of juice is 3/4 of a cup.

The graph says she has 4 cups that she can give out. She has 1/4 cup left over which is why it is marked.

Technically the answer is 4 cups with 1/4 cup left over, so the answer should be A.

The mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.

The perimeter is equal to the sum of the lengths of the three sides of the triangle and the Heron's formula allows us to calculate the areas in term of the three side lengths:

A = √[s · (s - a) · (s - b) · (s - c)]

s = 0.5 · (a + b + c)

Where:

The mathematical form of perimeter and area formulas allows us to find obtain the same values from triangles not congruent to each other due to commutative property for addition and multiplication.

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The solution to the given Inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]

Inequality:

Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. Equations can be used to address Inequality problems when they are stated as questions or as declarations of fact in the form of theorems.

Given that a Inequality  i.e. -2(8x-4) < 2x + 5  and asked to find the solution of the given Inequality.

⇒  -2(8x-4) < 2x + 5

⇒ -16x+8 < 2x+5

⇒3< 18x

⇒x>[tex]\frac{1}{6}[/tex]

Therefore,The solution to the given inequality i.e. -2(8x-4) < 2x + 5 is x>[tex]\frac{1}{6}[/tex]

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Answer:

Hello,

Step-by-step explanation:

4)

[tex]u_n=1+3*n\\u_{12}=1+3*12=37\\[/tex]

5)

[tex]u_n=-14+4*n=\\u_{10}=-14+4*10=26\\[/tex]

6)

[tex]u_n=\dfrac{5}{3} +\dfrac{n}{3} \\\\u_{16}=\dfrac{5}{3} +\dfrac{16}{3} =\dfrac{21}{3} =7[/tex]

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

If your looking for the value it’s 129

(9-7)^3=8

5^0 + (8+3)^2=122

Step-by-step explanation:

Hi!

#1: Sarah would have $3 left.

#2:

10-2=8

14-6=8

15-9=6

17-6=11

13-5=8

11-8=3

20-8=12

16-7=9

12-9=3

12 – 9 = 3

21 – 9 = 12

11 – 6 = 5

5 – 5 = 0

4 – 0 = 4

16 – 8 = 8

10 – 5 = 5

18 – 7 = 11

13 – 8 = 5

12 – 4 = 8

#3:

a. 6,321 – 4,879 = 1,442

b. 451 – 275 = 176

c. 15,278 – 6,327 = 8,951

d. 23,000 – 14,995 = 8,005

e. 54 – 19 = 35

#4

a. How many kilowatt hours of electricity did the Smiths use during February?

They used 19,423 (I believe)

b. How many kilowatt hours did they use during March?

They Used 865

#5:

Last year, Terry earned $19,436. This year, Terry got a raise that increased her income to $23,457.

a. How much more money did Terry make this year?

39,893 (I believe)

b. If Terry gets the same raise again next year, what will her total income be then?

63,350 ( i believe)

#6: 5,972 Ft taller

#7: 59 words.

#8:

a. 769 – 362 = 407

b. 502 + 17 = 519

c. 7,802 – 3,461 = 4,341

d. 1,432 + 2,568 = 4,000

Answer:

Graphed it for you!

Step-by-step explanation:

Answer:

30x <= 240

Step-by-step explanation:

The value in fig 4 x = 18.7 and γ = 12.72 . The value in fig 5 x = 10 and γ = 40 .

In figure 4 .

Solving linear equation in two variable

10 γ + 4 x - 22 = 180

3 γ + 11 + 7 x + 4 = 180

10 γ + 4 x = 202     ... eq 1

3 γ + 7 x = 169       ... eq 2

mult. ... eq 1 by - 3 and ... eq 2 by 10 .

- 30 γ - 12 x = - 606

30 γ + 70 x = 1690

Adding above 2 eqns

58 x = 1084

x = 18.7

γ = 12.72

Measurement of angles : 127.2 degrees , 52.8 degrees 134.9 degrees , 49.16 degrees .

In fig . 5

4 x + 13 x + 10 = 180

17 x = 170

x = 10

2 ( γ + 25 ) + 2 γ - 30 = 180

4 γ + 20 = 180

4 γ = 160

γ = 40

Measurement of angles are 130 degrees , 50 degrees , 130 degrees , 50 degrees  .

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The dot plot that has a symmetric distribution is option b.

A dot plot is a graph that has similarities with a histogram. A dot plot is made up of a number line and dots. A dot plot is used to represent the frequency of a data set.

The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots the number has. For example, if a number has a frequency of 6, it would have 6 dots have it.

A dot plot is symmetric if the left side of the graph and the right side of the graph are mirror images of each other. A dot plot is skewed to the left if there are more dots on the left side of the graph. A dot plot is skewed to the right if there are more dots on the right side of the graph.

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Answer:

Step-by-step explanation:

(Left hand side) 5 + 1 = 6

(Right hand side) 5 + 1 = 6

Domain: (-∞,∞) {x,x∈R }

Range: [0,∞)

Solution :

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Different Types Of Intervals

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

Open Interval

Closed Interval

Half-Open Interval

Let us understand the interval notation and different types of intervals in detail using solved examples.

Interval Notation:

y = |x4|

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

Determine the domain and range.

Domain:

(−∞,∞),{x|x∈R}

Range:

[0,∞) , {y|y≥0}

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Answer:

C. Left 7

Step-by-step explanation:

The question asks us about the number of units the x-coordinates of the parallelogram moved, therefore we have to look for the horizontal translation of the points A, B, C, and D.

To do this, we can look at the position of any of these points and the position of its corresponding point, to figure out how many units to the left or right they have moved.

For example, let's look at A and A':

To go from A to A', we have to move 7 units to the left.

It's the same for B and B' as well as the other points and their corresponding points.

Therefore the x-coordinates of parallelogram ABCD have moved 7 units to the left.