Figure ABCD Is Reflected Across The X-axis.What Are The Coordinates Ofof A'B'C', And D'Enter Your Answer (2024)

Answer:

See picture below

Step-by-step explanation:

Desmos is a free graphing calculator.

x-y = 1 Subtract x from both sides

-y = -x + 1 Divide all the way through by -1

y = x - 1

These line are parallel because they have the same slope.

On the green line I highlightes tow points (0,4) and (3,7) . (0,4) tells us where the line crosses the y anxis. Thiis will be in the form (0,b) b stands for the y intercept. This graph is crossing the green line at 4. The slope is 1. The patern form the first point (0,4) is to move up one and move right one. This pattern continues throuhg point (3,7) and beyond.

The blue line in the slope intercept from is

y = x +1 . Its slope is the same as the first line. It is up one and one to the right and that pattern continues. This line cross the y axis at -1.

The new price of the car is $25441.

How to calculate the price?

Given that the $26,000 car is on sale for 5% off with 3% tax.

The discount will be:

= 5% × $26000

= $1300

The tax will be:

= 3% × ($26000 - $1300)

= 3% × $24700

= $741

The new price will be:

= Amount - Discount + Tax

= $26000 - $1300 + $741

= $25441

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Answer:

m∠1 = 126°

m∠2 = 154°

Step-by-step explanation:

First, find the measure of angle that is supplementary to ∠1. (I will call it ∠A)

We know that the measures of the interior angles of a triangle add to 180°.

Therefore,

m∠A + 96° + 30° = 180°

m∠A + 96° = 150°

m∠A = 54°

From this value, we can solve for m∠1, since it is supplementary to ∠A:

m∠A + m∠1 = 180°

54° + m∠1 = 180°

m∠1 = 126°

To solve for ∠2, we must first solve for the adjacent supplementary angle that I have named ∠B.

First, the measures of the interior angles of a triangle add to 180°:

28° + m∠1 + m∠B = 180°

28° + 126° + m∠B = 180°

m∠B = 26°

Finally, we can solve for m∠2 because it is supplementary to ∠B.

m∠B + m∠2 = 180°

26° + m∠2 = 180°

m∠2 = 154°

Expression is equal to = 2.35 x 10^7.

Given,

In the question:

Wendy solved a problem with her calculator, and she got this answer:

2.35E7

To find the which expressions are equivalent to the answer she got?

Now, According to the question;

The number is given as:

2.35E7

Expression is equal to = 2.35 x 10^7

Hence, Expression is equal to = 2.35 x 10^7.

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Answer:

Step-by-step explanation:

4

Answer:4

Step-by-step explanation: I have 2 apples and my friend gives me 2 more it'll give me 4. Also you put up 2 fingers and and you add 2 more that will also give me 4.

The probability of winning the minimum award is [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex].

The Player chooses 4 numbers from white balls numbered 1 to 59 and

1 number from gold ball numbered 1 to 47

He has to choose 3 correct numbers out of 4 numbers in the white ball

and 1 number from the gold balls.

He can do in [tex]^4C_3 . ^{53}C_1[/tex] and 1 way respectively.

So, the probability can be given by;

Probability = probability of choosing white ball * probability of choosing red ball

Probability = [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex]

Thus, the probability of winning the minimum award when players pick four different numbers from 1 to 59 and one number from 1 to 47 and a player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 59) and matching the number on the gold ball (1 through 47) is [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex].

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Answer:

Difference Between Active and Passive Transport

Active TransportPassive Transport

Active transport is an energetic process.It is a physical process.

It is extremely selective.It is partially non-selective

It is a quick process.It is a moderately slow process.

It Occurs in one direction.It occurs bidirection

Answer:

I am definitely not one...Lol

Step-by-step explanation:

The account balance after20 ​years will be $6900 and the simple interest for 20 years is $1900

The Principal amount = $5,000

Rate of Interest (r) = 1.9 %

Time Period (t) = 20 years

The Simple Interest is given by

[tex]S.I. = \frac{P*r*t}{100}[/tex]

Now, putting the values on the formula, we get:

[tex]S.I. = \frac{5000*1.9*20}{100} = 1900[/tex]

Hence, the interest will be $1900

Now, The Account Balance after 20 years = $ (1900 + 5000) = $6900

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The box plot that could represent a data set that has an interquartile range of 5 is the box plot first option shown in the image.

What is Interquartile Range?

The interquartile range of a data set is the distance between the lower quartile and the upper quartile on a box plot.

Thus, a box plot that has a lower quartile of 3 and an interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.

Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

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Answer:

Down Here ↓↓↓↓↓↓↓

Step-by-step explanation:

Hello!

Supplementary angles are angles that add up to 180°Vertical angles are opposite and equal angles, formed by the intersection of 2 linesA linear pair of angles sum up to 180°, and forms adjacent anglesAdjacent angles share a common vertex and side

This is all the information we need to fill up the blank spots:

Two angles whose sum is 180° are supplementary angles.

Vertical angles are formed by the opposite angles when two lines intersect.

Vertical angles are congruent/equal/equal in measure.

A linear pair of angles form adjacent angles, and the sum of their measures is 180°.

Adjacent angles share a common vertex and side.

Answer:

The probability that this whole shipment will be accepted is 72.39%.

Step-by-step explanation:

The probability of no defects with 2% rate of defects:

P(no defects) = 59*0.02⁰*(1 - 0.02)⁵⁹ = 0.3583 (rounded) = 35.83%

Probability of exactly one defect:

P(1 defect) = 59*0.02¹*(1 - 0.02)⁵⁸ = 0.3656 (rounded) = 36.56%

Probability of one or no defects:

P(1 or none) = 35.83% + 36.56% = 72.39%

This indicates that:

100% - 72.39% = 27.61% of shipments will be rejected, it is a lot, so many shipments will be rejected

The probability that this whole shipment will be accepted is 72.39%.

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies inversely to }x^2}{y=\cfrac{k}{x^2}}\hspace{5em}\textit{we also know that} \begin{cases} y=5\\ x=3 \end{cases} \\\\\\ 5=\cfrac{k}{(3)^2}\implies 5=\cfrac{k}{9}\implies 45=k\hspace{5em}\boxed{y=\cfrac{45}{x^2}} \\\\\\ when~y=1\frac{4}{5}\textit{ what is "x"?}\implies 1\frac{4}{5}=\cfrac{45}{x^2}\implies \cfrac{9}{5}=\cfrac{45}{x^2} \implies 9x^2=(5)(45) \\\\\\ x^2=\cfrac{(5)(45)}{9}\implies x^2=25\implies x=\sqrt{25}\implies {\Large \begin{array}{llll} x=5 \end{array}}[/tex]

The equations that are true for x = –2 and x = 2 include the following:

x² – 4 = 0

4x² = 16

How to determine the true equations?

In order to determine which x-values are true solutions based on the given equations, we would have to test each of the x-values by substituting their values into the equations as follows;

When x = -2, we have:

x² – 4 = 0

(-2)² – 4 = 0

4 - 4 = 0 (True).

When x = 2, we have:

x² – 4 = 0

(2)² – 4 = 0

4 - 4 = 0 (True).

When x = -2, we have:

x² = -4

(-2)² = -4

4 = -4 (False).

When x = -2, we have:

3x² + 12 = 0

3(-2)² + 12 = 0

3(4) + 12 = 0

12 + 12 = 0

24 = 0 (False).

When x = -2, we have:

4x² = 16

4(-2)² = 16

4(4) = 16 (True).

When x = 2, we have:

4x² = 16

4(2)² = 16

4(4) = 16 (True).

When x = -2, we have:

2(x – 2)² = 0

2(-2 – 2)² = 0

2(-4)² = 0

2(16) = 0

32 = 0 (False).

When x = 2, we have:

2(x – 2)² = 0

2(2 – 2)² = 0

2(0) = 0 (True).

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Complete Question;

Which equations are true for x = –2 and x = 2? Select two options

x² – 4 = 0

x² = -4

3x² + 12 = 0

4x² = 16

2(x – 2)² = 0

22 members were present and 8 members were absent.

There are 30 members in a committee.

On a certain day 11/15 of the total members were present.

Let x be the number of members who were present.

So, we get an equation,

x = 11/15 * 30

We solve above fraction.

x = 11 * 2

x = 22

So, 22 members were present.

And 30 - 22 = 8 members were absent.

Therefore, 22 members were present and 8 members were absent.

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The functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.

The conditions for two functions f and g to be inverses: f(g(x)) = x or g(f(x)) = x.

where, f(g(x)) and g(f(x)) is the composite function.

We are given:

f(x) = (2x - 3) / 2

g(x) = (2x + 3) / 2

Let us find the value of f(g(x)) and g(f(x)):

Substitute the value of x with g(x) in f(x), we will get:

f(g(x)) = (2 * g(x) - 3) /2 = (2 * ((2x + 3) / 2) - 3) /2 = (2x + 3 - 3) / 2 = 2x / 2 = x

So, f(g(x)) = x.

Substitute the value of x with f(x) in g(x), we will get:

g(f(x)) = (2 * f(x) + 3) /2 = (2 * ((2x - 3) / 2) + 3) /2 = (2x - 3 + 3) / 2 = 2x / 2 = x

So, g(f(x)) = x.

Thus, the functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.

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The answer will be 3 years.

1st 30 pupils at average age of 15.3 yrs. give total age of 15.3 x 30 = 459yrs

2nd group of 30 pupils at average age of 15.2 yrs

give total age of 15.2 x 30 = 456yrs

Difference in age = 459 - 456

= 3 years.

The equation of the line is option (C) y = 2x - 1

First we have to choose two points

The first point = (1, 1)

The second point = (2, 3)

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

Slope of the line = (3-1) / (2-1)

= 2 / 1

= 2

From the graph line is intersecting on y axis at y = -1

The slope intercept form of the line

y = mx + b

where m is the slope of the line

b is the y intercept

Substitute the values

y = 2x - 1

Hence, the equation of the line is option (C) y = 2x - 1

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sin
2
x
=
24
25
Explanation:
sin
2
x
=
2
sin
x
cos
x

cos
x
=
−
√
1
−
sin
2
x
(cosx <0 in quadrant III)
so
cos
x
=
−
√
1
−
9
25

that's
cos
x
=
−
4
5

and
sin
2
x
=
2
(
−
3
5
)
(
−
4
5
)

that's
24
25

The subject of the equation is x and it can be written as x = t/6.

What do you mean by solving an equation?

Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. The equation's solution is the value of the variable for which the equation is true. An equation remains the same even when the LHS and RHS are flipped. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.

The given equation is

6x = t

Divide both sides by 6

6x/ 6 = t/ 6

x = t/ 6

So, the subject of the equation is x - t/6.

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Answer:

t - 10 = 61

Step-by-step explanation:

We are given that the tortoise was 61 years old 10 years ago. Let's suppose that t is the tortoise's current age. We can then write the equation t - 10 = 61

so t = 71.

The required answer would be the stick insect is 117.5 millimeters long.

What is the Subtraction operation?

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

The stick insect measures 12 cm then a fly which is 2.5 mm long.

According to the given question, the required solution would be as:

⇒ 12 cm - 2.5 mm

Convert the centimeters into millimeters

⇒ 10 × 12 mm - 2.5 mm

⇒ 120 - 2.5

Apply the subtraction operation,

⇒ 117.5 millimeters

Thus, the required answer would be the stick insect is 117.5 millimeters long.

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Answer:

Step-by-step explanation:

Hi, Danna, these are tough to figure out...

so, first check to see if the 3 known angles add up to 180°, they don't I checked, so, it tells us that the one angle 96° up at the top, does not include ∠2 , which is good, b/c we now know 2 of the angles in that inner triangle.. and we know that a triangle adds up to 180° , so just find that last angle... the one opposite to ∠1 .... nice, if we get the ∠1' angle we can then also figure out ∠1

180-96-30=54

∠1' =54°

so ∠1= 180-54 =126°

we now know ∠1

use that , and that the next smaller triangle also adds up to 180

to find ∠2

∠2= 180-28-126=26°

∠1=126°

∠2 = 26°

:) it's tough to think all of that through. don't worry. just keep working these , they will get easier.

Answer:

120, 60, 180

Step-by-step explanation:

The F Test statistic is 1.58.

Given data is

Source SS df MS

between 21,000.00 2 6,000.00

within 442,500.00 117 3,782.00

The SStotal is sometimes easier to calculate than SSbetween Since......

SSwithin +SSbetween = SStotal you can use SStotal to calculate SSbetween.

= 442,500+21,000 = 463,500

In ANOVA, the F test statistic is the ratio of the between - treatments variance and the within-treatments variance. The value of the F test statistic is 1.58 when the null hypothesis is true , the F test statistics is closer to 1, when the null hypothesis is false, the F test statistic is most likely large in general, you should reject null hypothesis for larger values of the F test statistic.

Hence the answer is the F Test statistic is 1.58.

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The number of problems Rhea still have to solve is 8

What is a fraction?

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator and the number at the bottom is called denominator. It tells how many equal parts of the whole or collection are taken.

On Monday Rhea solved 12 out of 36 problems. This means she has 36-12 = 24 problems remaining. On Tuesday she solved 2/3 of the remainder, which means she did 2/3×24= 16problems on Tuesday.

Therefore she will have 24- 16= 8problems to complete after Tuesday.

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If the expanded volume of a cylinder is 45 in³ , then the compressed volume is 6 in³ .

In the question ,

it is given that ,

the compression ratio in a certain engine is 7.5 : 1 .

the expanded volume of a cylinder is = 45 in³ .

we have to find the compressed volume of the cylinder ,

let the compressed volume of the cylinder be = v .

the above situation can be represented as

7.5 : 1 = expanded volume : compressed volume

7.5/1 = 45/v

7.5 = 45/v

v = 45/7.5

v = 6 cubic inches .

Therefore , If the expanded volume of a cylinder is 45 in³ , then the compressed volume is 6 in³ .

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Answer:

1

Step-by-step explanation:

Replace the variable letter with the number.

t + d / 8 - 6

6 + 8 / 8 - 6

6 + 1 - 6

7 - 6

1

Answer:

Below

Step-by-step explanation:

The equation ( you need to commit to memory) is:

FV = PV ( 1+i)^n FV = future value PV = present value(110 000)

i = decimal interest per PERIOD = .08 /4 = .02

n = # of periods = 40 (it is a quarterly period by 10 yrs)

FV = 110 000 ( 1 + .02)^40 = 242 884 .36 dollars