The slope of line a is 2/3 . The slope of line b is 2/3 .

Which statement is true?

Responses

The lines are perpendicular.

The lines are neither perpendicular nor parallel.

The lines are parallel.

Answer:

figurative

Step-by-step explanation:

this is because its using something else to paint a picture as to HOW something is, for ex. HOW bright the moon is.

The value of the expression (3.5^7/3.5^6)^2 is 12.25

The expression is given as

3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.

Rewrite properly as

(3.5^7/3.5^6)^2

Apply the law of indices

So, we have

(3.5^7/3.5^6)^2 = (3.5^7-6)^2

This gives

(3.5^7/3.5^6)^2 = (3.5)^2

Evaluate the exponent

(3.5^7/3.5^6)^2 = 12.25

Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25

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Explanation:

Each pencil has a profit of Rs 1.25 since [tex]\text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25[/tex]

Multiply that result with 20 to get the final answer shown above in bold.

The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

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The actual area of the space for Joseph's new grill in square inches is 1280cm².

It should be noted that Joseph uses a scale of 2 cm for every 5 inches.

It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:

= 80 × 2/5 = 32

= 100 × 2/5 = 40

Therefore, the area will be:

= Length × Width

= 32 × 40

= 1280cm².

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Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?

The coordinates of midpoint M is (3,-4)

It is given that AB is a line segment whose end points A ( 4,6) and B (2.-14) and M is the midpoint

We need to find out the coordinates of midpoint  M which can be found out using the mid point formula  which is (x1 + x2/2 , y1 +y2/2)

the x coordinate of the midpoint M of line segment AB = 4 + 2/2

                                                                                               = 6/2

                                                                                                = 3

the y coordinate of the midpoint M of line segment AB = 6+ (-14) /2

                                                                                               = -8/2

                                                                                               = -4

Hence the coordinates of the midpoint M of line segment AB is (3,-4)

In geometry, the midpoint is the center point of a line section. it's far equidistant from each endpoints, and it's far the centroid each of the segment and of the endpoints. It bisects the section.

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The component form of the resultant vector is  X1 = -5 and Y1 = -3

The course of vector rotation is counterclockwise if θ is positive (e.g., 90°) and clockwise if θ is bad (e.g., 90°). Consequently, the clockwise rotation matrix is located as

Let's say we have got a factor (x1, y1). The point also defines the vector (x1, y1).

The vector (x1, y1) has a length of L.

We rotate this vector anticlockwise around the starting place by using β Degree.

The turned-around vector has coordinates (x2, y2)

The turned-around vector also has to have period L.

Theorem

x2=cosβx1−sinβy1

y2=sinβx1+cosβy1

By using the above information, we can say that X1 = -3 and Y1 = 5

So now we have the rotate the vector by 270 Degree

After Rotation New coordinates are X1 = -5 and Y1 = -3

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Answer:

in order from greatest to least, 9.7 times 10^5, 9/7, 7/9, 10^-5

Step-by-step explanation:

if you put them in a graphing calculator you'll get the answers. try desmos

The scale factor from shape B to shape A is 4.

Step 1: To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 36 units and another base of length  28 units. Figure B has a base length of 9 units and another base length is 7 units.

Step 2: To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A = 36 / 9 = 4

Similarly, the length of another base of figure B / another base of figure A = 28 / 7 = 4

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Answer:

2 550

Step-by-step explanation:

Total no. of people who already have a decision, as a % =  45%+38% = 83%

No. of people who haven't decided yet, as a % = 100% - 83% = 17%

No. of people who haven't decided = 15 000 x 17/100 = 2 550

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Hello! Explanation below!

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Ideally, we should break apart the number for this problem. So, here goes nothing. :)

500 / 8 = 62.5

20 / 8 = 2.5

8 / 8 = 1

Now, add your products.

62.5 + 2.5 + 1 = 66

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Good luck!

~pinetreee

Since 8>3

[tex]f(8) = 7[/tex]

The complete terms and growth factors are as follows

Given data

a. __,5, 25, __625

-1,__,-36, 216,__

c. 10, 5, __, __0.625

d.__ ,__,36,-108,__

e.__,12,18,27,__

The terms of a geometric sequence is gotten by

a * r = T2

a is the first term

r is the growth factor

T2 is the second term

a. __,5, 25, __625

5 * r = 52

r = 5

growth factor is 5

the complete terms include

1, 5, 25, 125, 625

b. -1,__,-36, 216,__

-36 * r = 216

r = 216 / -36 = -6

r = -6

growth factor is -6

the complete terms include

-1, 6, -36, 216, -1296

c. 10, 5, __, __0.625

10 * r = 5

r = 5 / 10 = 0.5

r = 0.5

growth factor is 0.5

the complete terms include

10, 5, 2.5, 1.25, 0.625

d.__ ,__,36,-108,__

36 * r = -108

r = -108 / 36 = -3

r = -3

growth factor is -3

the complete terms include

6, -18, 36,-108, 324

e.__,12,18,27,__

12 * r = 18

r = 18 / 12 = 1.5

r = 1.5

growth factor is 1.5

the complete terms include

8, 12, 18, 27, 40.5

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Answer:

(-2, 3)

Step-by-step explanation:

When rotating the preimage 90° counterclockwise about the origin (x, y) becomes (-y, x).

x=3 and y=2

So (3, 2) becomes (-2, 3)

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.

After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

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The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

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Answer:

y=x-3

Step-by-step explanation:

4x-5=7+4y

Subtract 7 from both sides.

4x-12=4y

Divide 4 from both sides.

x-3=y

y equals x minus 3.

y=x-3

Hope this helps!

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Based on the triangle midsegment theorem, the length of HI is: 8 units.

Every triangle has three midsegments. A midsegment of a triangle can be described as the segment that intersects two sides of a triangle at their midpoint.

For example, in the diagram given, the midsegments in triangle GHI are segments JL, KL, and JK.

According to the triangle midsegment theorem:

JL = 1/2(HI)

KL = 1/2(HG)

JK = 1/2(GI)

Given that, JL = 4 units, applying the triangle midsegment theorem, we would have:

JL = 1/2(HI)

4 = 1/2(HI)

Multiply both sides by 2

2(4) = 1/2(HI)(2) [multiplication property]

8 = HI

HI = 8 units

In conclusion, based on the triangle midsegment theorem, the length of HI is: 8 units.

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If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Given:

Rate= 2.11%

Now let express Mr Mady ending balance after one year algebraically by using this formula

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

Where:

A = Future value

P=Principal

r= Rate

N=Number of period

Let plug in the formula

A = P(1 + 0.0411/4)^4

Therefore If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

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CONVERSE = 2

INVERSE= 1

CONTAPOSITIVE=3

Answer:

if your asking how to get 29 then here is how

Step-by-step explanation:

Evaluate

3x+16=5x−42

Move the variable to the left side

3x+16−5x=−42

Subtract the terms

−2x+16=−42

Move the constant to the right side

−2x=−42−16

Subtract the terms

−2x=−58

Divide both sides

2x divided by -2

-58 divided by 2

Solution

x=29

ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]

In case of natural logarithm, b = e, i.e., [tex]log_e(a)[/tex] = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, [tex]log_b(a^m) = m(log_b(a))[/tex] ,

=> 3 (ln (e)) = 3 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

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Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

Hope this helps:).......if not then sorry for wasting your time and may God bless you<3

Answer:

[tex]162 \pi[/tex]

Step-by-step explanation:

Volume of a cone is
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]

where r = radius, h = height

So

[tex]v = \dfrac{1}{3} \pi \times 9^2 \times 6\\\\= \dfrac{1}{3} \pi \times 81 \times 6\\\\= 162 \pi[/tex]

Answer:

x = - 4

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

h(x) = 5x² + 40x + 64 ← is in standard form

with a = 5 , b = 40 , then axis of symmetry is

x = - [tex]\frac{40}{10}[/tex] = - 4

Values of x are 0, 6 + ✓48i/2 and 6 - ✓48i/2.

3 + [tex]{(4 - x)}^{3/2}[/tex]= 11

Subtracting 3 on both sides of the equation, we get

3 + [tex]{(4 - x)}^{3/2}[/tex]- 3 = 11  - 3

[tex]{(4 - x)}^{3/2}[/tex]  = 8

Squaring both the sides of the equation, we get

[tex] {(4 - x)^{3/2 \times 2} }[/tex] = 8²

(4 - x)³ = 64

Using the identity (a - b)³ = a³ + b³ + 3a²b - 3ab², we get

4³ + x³ + 3×4²x - 3×4×x² = 64

64 + x³ + 48x - 12x² = 64

x³ - 12x² + 48 = 0

Taking x common from the above equation, we get

x(x² - 12x + 48) = 0

x = 0 and x² - 12x + 48

Sovling the quadratic equation x² - 12x + 48, we get

x = -b+✓(b² - 4ac)/2a and  -b-✓(b² - 4ac)/2a

x =  -(-12)+✓((-12)² - 4(1)(48))/2(1) and -(-12)-✓((-12)² - 4(1)(48))/2(1)

x = 12+✓(144-192)/2 and 12-✓(144-192)/2

x = 12+✓-48/2 and  12-✓-48/2

x = 12+✓48i/2 and 12-✓48i/2

x = 6+✓48i/2 and 6-✓48i/2

Thus, the values of x are 0, 6+✓48i/2 and 6-✓48i/2

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Answer:

Step-by-step explanation:

ANSWER:  

about 2.085

The required value up to the nearest hundredth of change of base of the log function is given by1.39.

What is a logarithmic function?

A function which is the inverse of the exponential function is called a logarithmic function. It is depicted by writing a log before any number, variable or function. Log functions are strictly increasing functions in nature.

Calculation of the value of  log₇15  

We know that log₇15 can be written as log15 / log7, using the properties of the logarithmic function, log

Now, log₇15 = 1.1761 / 0.845

= 1.392

Hence, the required value up to the nearest hundredth is given by 1.39.

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According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

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