The surface area of a rectangular prism is increased by a factor of 16.
By what factor is the volume of the figure increased?
04
08
O 32
O 64

The angle of rotation of triangle ABC to A'B'C is 105°

It should be noted that the rotation from ABC to A'B'C is in a clockwise direction.

Point B is also on the x axis and point B' is in the second quadrant.

In this case, the angle that depicts the second quadrant is 105°.

In conclusion, the correct option is D.

The complete question is:

Triangle A’ B’ C’ is the image of A B C under a rotation about the origin, (0,0)

Determine the angle of rotation

A. -105 degrees

B. -75 degrees

C. 75 degrees

D. 105 degrees

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Step-by-step explanation:

therefore A is the correct answer

For the linear function in the graph, we have that:

A linear function is modeled by:

y = mx + b

In which:

The line goes through point (0,-4), hence:

The y-intercept is of -4.

The function also goes through point (2,2), hence the slope is:

m = (2 - (-4))/(2 - 0) = 6/2 = 3.

Then, the equation of the line is:

y = 3x - 4.

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A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

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The correct representation of the inequality –3(2x – 5) < 5(2 – x) is -6x + 15 < 10 - 5x. It an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequality:

–3(2x – 5) < 5(2 – x)

= -6x + 15 < 10 - 5x

= -x < -5

= x > 5

The correct representation of the inequality –3(2x – 5) < 5(2 – x) is -6x + 15 < 10 - 5x. It an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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Answer: The correct representation of the inequality –3(2x – 5) < 5(2 – x) is -6x + 15 < 10 - 5x. It an open circle is at 5 and a bold line starts at 5 and is pointing to the right. What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.Given the inequality:–3(2x – 5) < 5(2 – x)= -6x + 15 < 10 - 5x= -x < -5= x > 5The correct representation of the inequality –3(2x – 5) < 5(2 – x) is -6x + 15 < 10 - 5x. It an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Step-by-step explanation:

The approximate value of b in the triangle is D. 9.4 units.

From the information, it should be noted that WZY and XWY are similar triangle.

The corresponding ratio will be:

XW/WZ = XY/WY = WY/ZY

The calculation of WZ using Pythagoras will be 7.81.

This will be substituted into the ratio.

b/7.81 = 6/5

5b = 46.86

b = 9.4 units.

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Considering the given equation of the circle, the true statements are given as follows:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The equation given is:

x2 + y² - 2x - 8 = 0.

Completing the squares, the equation is given as follows:

(x - 1)² + y² = 8 + 1

(x - 1)² + y² = 9.

Researching the problem on the internet, the true statements are:

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Answer:

- 13

Step-by-step explanation:

Solving

[tex] \frac{(x - 3)}{4} = \frac{(2x + 2)}{6} \\ \\ cross \: multiplying \\ 6 \times (x - 3) = 4 \times (2x + 2) \\ 6x - 18 = 8x + 8 \\ 6x - 8x = 8 + 18 \\ - 2x = 26 \\ dividing \: bothsides \: by \: - 2 \\ \frac{ - 2x}{ - 2} = \frac{26}{ - 2} \\ x = - 13[/tex]

[tex] \implies \: \sf{ \dfrac{x \: - \: 3}{4} \: = \: \dfrac{2x \: + \: 2}{6} } \\ \\ \implies \: \sf{6( x \: - \: 3) \: = \:4(2x \: + \: 2)} \: \\ \\ \implies \: \sf{6 \times ( x \: - \: 3) \: = \: (2x \: + \: 2)}\\ \\ \implies \: \sf{6x \: - \: 18 \: = \:8x \: + \: 8}\\ \\ \implies \sf{6x \: - \: 8x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \:18\: + \: 8}\\ \\ \implies \sf{ - 2x \: = \: 26}\\ \\ \implies \sf{ - x \: = \: \dfrac{26}{2} }\\ \\ \implies \sf{ - x \: = \: \cancel{\dfrac{26}{2} }}\\ \\ \implies \sf{ - x \: = \: 13}\\ \\ \implies \red{\bf{ x \: = \: - 13}}[/tex]

La diferencia entre el denominador y el númerador de la fracción es:

64 - 8 = 56.

Tendremos una fracción de la forma:

[tex]\frac{a}{b}[/tex]

Tal que:

[tex]\frac{a}{b} = \frac{1}{8}[/tex]

[tex]a + b = 72[/tex]

Eso es un sistema de ecuaciones

Primero, podemos reescribir la primer ecuación como:

[tex]8a = b[/tex]

Ahora podemos reemplazar "b" en la segunda ecuación por "8a", así obtenemos:

[tex]a + 8a = 72\\\\9a = 72\\\\a = 72/9 = 8[/tex]

Ahora podemos obtener el valor de b:

[tex]b = 8a = 8*8 = 64[/tex]

La diferencia entre a y b es:

[tex]b - a = 64 - 8 = 56[/tex]

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The value of 'x' is 25.00

The given figure is a triangle

To find the value of 'x', first find the value of the other side

Using

Hypotenuse square = opposite square + adjacent square

16^2 = 10^2 + y^2

256 = 100 + y^2

Make y subject of formula

y = √ 256- 100

y = √ 156

y= 12. 49

To find 'x'

28^2 = x^2 + 12.59^2

784 = x^2 + 158. 51

x^2 = 784 - 158. 51

x^2 = 625. 49

x =√ 625. 49

x = 25.00

Thus, the value of 'x' is 25.00

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The correct statements are:

There are four ways to choose the committee.

There are three ways to form the committee if person D must be on it.

If persons B and C must be on the committee, there are two ways to form the committee.

It is given that:

A membership committee of three is formed from four eligible members.

1)

There are four ways to choose the committee.

This statement is true.

since we have to choose 3 members out of the 4 members so we can use the method of combination.

2)

There are three ways to form the committee if person D must be on it.

This statement is also true.

since D has to be in the committee, this means we have to choose 2 more people out of the three people to form the committee.

3)

If seven members are eligible next year, then there will be fewer combinations.

This statement is wrong.

Since we have to choose 3 members out of 7 members so the number of possible combinations will be:

i.e. there are 35 combinations possible.

4)

If persons B and C must be on the committee, there are two ways to form the committee.

if B and C have to be in the committee then we have to choose just one person out of the two people left.

Hence, the statement is true.

5)

If persons A and C must be on the committee, then there is only one way to form the committee.

If A and C have to be in the committee then as in last option we have to choose any one of the two person left.

so possible number of ways are 2.

Hence, the statement is false.

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Answer:

Step-by-step explanation:

C is equal to A. Because angle FCE is on the other side with C, it has to be equal to A

ABCD is a parallelogram (Given)

As opposite angles of a parallelogram are equal

Also

From (1) and (2)

<A is congruent to <FCE

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\textbf{Which set of data does not have a mode?}[/tex]

[tex]\huge\textbf{The choices that you have provided:}[/tex]

[tex]\textbf{(A) 1, 2, 5, 6, 8}[/tex]

[tex]\textbf{(B) 1, 3, 5, 5, 6}[/tex]

[tex]\textbf{(C) 1, 5, 5, 5, 5}[/tex]

[tex]\textbf{(D) 1, 1, 1, 2, 2}[/tex]

[tex]\huge\textbf{Okay, so let's get the understanding}\\\\\huge\textbf{of the word mode is:}[/tex]

[tex]\large\textbf{The best way to understand what \boxed{\bf mode} it is known as}\\\\\large\textbf{the number you see MORE THAN once. }[/tex]

[tex]\huge\textbf{Now that we got that information out of}\\\\\huge\textbf{the way, we can answer your question by}\\\\\huge\textbf{doing process of elimination.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\textbf{1, 2, 5, 6, 8}[/tex]

[tex]\large\textbf{None of the numbers r.e.p.e.a.t so this cann be your}\\\\\large\textbf{answer.}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\textbf{ 1, 3, 5, 5, 6}[/tex]

[tex]\large\textbf{1}\rightarrow\large\textbf{ is r.e.p.e.a.t.e.d once}\\\large\textbf{3}\rightarrow\large\textbf{ is r.e.p.e.a.t.e.d once}\\\large\textbf{5}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d twice}\\\large\textbf{6}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d once}[/tex]

[tex]\large\textbf{Just because majority of your numbers r.e.p.e.a.t.e.d}\\\\\large\textbf{once that doesn't mean it does have a mode rarely.}\\\\\\\\\\\large\textbf{So, Option B. isn't your answer because it has a mode.}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\textbf{ 1, 5, 5, 5, 5}[/tex]

[tex]\large\textbf{1}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d once}\\\large\textbf{5}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d four times}[/tex]

[tex]\large\textbf{Option C. isn't your answer because it has a mode.}[/tex]

[tex]\huge\textsf{Option D. }[/tex]

[tex]\textbf{1, 1, 1, 2, 2}[/tex]

[tex]\large\textbf{1}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d three times}\\\large\textbf{2}\rightarrow\large\textbf{is r.e.p.e.a.t.e.d twice}[/tex]

[tex]\large\textbf{Just because we have like two modes, it still doesn't mean}\\\large\textbf{you don't have a mode. It 's kind of cool that you have more}\\\large\textbf{than once mode.}[/tex]

[tex]\large\textbf{Option D. isn't your answer because it has a mode though}\\\large\textbf{because it has like 2 sets of modes.}[/tex]

[tex]\huge\textsf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\textsf{Option\ A. 1, 2, 5, 6, 8}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1 atom of C has a mass of 12 amu (atomic mass unit).

1 atom of O has a mass of 16 amu.

1 molecule of CO₂ thus has a mass of 12 + 2×16 = 44 amu.

C thus makes up 12/44 ≈ 0.27 of the total mass of CO₂, while O makes up the remaining 32/44 ≈ 0.73.

Then in a 2 kg = 2000 g block of CO₂, carbon makes up about 12/44 × 2000 ≈ 545 g.

option third "The area of parallelogram ABCD is equal to the area of parallelogram EFGH" is correct.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

The area of the parallelogram is:

A = b×h

Here b is the base length and h is the height

In ABCD parallelogram:

A = (3)×(3)

A = 9 square units

EFGH parallelogram:

a = (3)×(3)

A = 9  square units

The area of parallelogram ABCD is equal to the area of parallelogram EFGH.

Thus, option third "The area of parallelogram ABCD is equal to the area of parallelogram EFGH" is correct.

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Answer:

Line or scatter graph.

Step-by-step explanation:

I prefer line, although some of the points deviate a bit.  But the line shows a definite relationship between mass and length.

See attached graph.

Stacie did the mistake that he put the value of base in place of perpendicular and vice versa.

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

Solution is supposed to be

[tex]tan_ (-1) (28/21) = 53.33[/tex]

Thus,Stacie did the mistake that he put the value of base in place of perpendicular and vice versa.

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Answer: $$y=-2/3x+2$$

Explanation:  Given that we have the slope and a point on the graph we can use the point slope formula to find the equation of the line.

Answer:

Hey there....

Step-by-step explanation:5

This is ur answer....

Working :-

x = Unknown number

x + 5 = Sum of the number and Five

x + 5 - 2x = Previous sum decreased by the the twice of the unknown number.

-x + 5 = combine the terms

•••••••••••••••••••••••••••••••••••••••••••••••••••••••••

Hope it helps!

Brainliest pls!

Have a good day!^^

Step-by-step explanation:

x is the number.

(x + 5) - 2x : the sum of the number and 5 decreased by twice the number.

or simplified without the brackets

x + 5 - 2x = 5 - x

it is not clear if you need the general expression showing both conditions (the first up there), or the then simplified result

5 - x

The new function moved up by 8 units from the original.

The only difference in the functions is the y-intercept. The slope remained the same ([tex]2[/tex]), but the y-intercept went up by 8, meaning the function moved up 8 units.

See the attached image for a graph of both functions. The new function is the solid blue line.

Answer:

  58.0°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationships between sides of a right triangle and trig functions of the acute angles.

Here, the hypotenuse of the triangle is given (17 cm), as is the side adjacent to angle x (9 cm). This suggests using the relation ...

  Cos = Adjacent/Hypotenuse

  cos(x) = (9 cm)/(17 cm) = 9/17

The angle for this cosine value is found using the inverse trig function.

  x = arccos(9/17)

  x ≈ 58.034°

Rounded to the nearest tenth, the angle is ...

  x = 58.0°

__

Additional comment

Of course, the angle y is the complement of this:

  y = 32.0°

The correct graph for the given sets of equation is given attached below.
Equation no 2 gives the perfect solution to the graph.

A parabola, is cross section cut out of the cone and represented by an equation [tex]Y=4ax^2[/tex]

Clearly, by property of the parabola, the curve of parabola should symmetric to its axis. From this property set of Equation (2) i.e. downward opening parabola increasing from negative 2 comma negative 3 to a maximum at 0 comma 1 and then decreasing through the point 2 comma negative 3 Holds the property of the parabola

Thus, the required solution for the sets of equation (2) is given in the attachment.

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Answer: D) 1/5

Step-by-step explanation:

Format for point-slope form:  y-y₁=m(x-x₁)

x1, y1 is a point on the line

m is the slope

So in this equation, m = 1/5

so, the slope is 1/5

hope this helps!

The coordinates of P(x, y) is: A. P(Negative StartRoot 21 EndRoot, –2)

Given:

Radians=3π/2

theta=-5/2

Hence:

Hypotenuse = - 5

Altitude = 2

Using  Pythagorean theorem

Hypotenuse² =  Altitude² + Base²

-5²= 2²  + Base²

25 ² - 4 ² = Base²

Base = √21

Thus P(x,y) :

= P(-√21 : -2)

Therefore the correct option is A.

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Answer:

[tex]f^{-1}(x)=2^x+3[/tex]

Step-by-step explanation:

Given:

[tex]y=\log_2(x-3)[/tex]

To find the inverse of the given function, make x the subject.

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 2^y=x-3[/tex]

Add 3 to both sides:

[tex]\implies x=2^y+3[/tex]

Swap x for [tex]f^{-1}(x)[/tex] and y for x:

[tex]\implies f^{-1}(x)=2^x+3[/tex]

Elizabeth will take 9 hours and 45 minutes to catch up with Duane using the given speed-distance-time values.

The speed-distance-time relations are:

Speed = Distance/Time, Distance = Speed*Time, and Time = Distance/Speed.

The distance traveled by Duane on the bike at 14 miles per hour for 3 hours = 14*3 miles = 42 miles.

The time that Elizabeth takes to cover 42 miles jogging at 5 miles per hour = 42/5 hours = 8.4 hours.

The distance traveled by Duane in the extra time which Elizabeth took to reach his bike (8.4 - 3 = 5.4 hours) walking at 2 miles per hour = 2*5.4 = 10.8 miles.

Now, the distance between Elizabeth and Duane is 10.8 miles, before Elizabeth starts riding the bike.

Keeping the distance constant, we calculate the relative speed to calculate the time to cover this distance.

Relative speed = Elizabeth's speed - Duane's speed {As Elizabeth is moving towards Duane, that is, covering the distance but Duane is moving away from Elizabeth, that is, increasing the distance}.

or, Relative speed = 10 - 2 = 8 miles per hour.

Time taken to cover the distance = 10.8/8 = 1.35 hours.

Therefore, the total time taken by Elizabeth to catch up with Duane = 8.4 + 1.35 hours = 9.75 hours or 9 hours and 45 minutes.

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Answer:

it can't be solved if we don't know the values of atleast one of the x and y.

Hope this helps.

Good luck ✅.

Step-by-step explanation:

Hemisphere Formulas in terms of radius r:

V = (2/3)πr.

Hereof, What is the radius of a hemisphere? As latter is 4πr2 , curved surface area of a hemisphere of radius r is 2πr2 . and hence total surface area of hemisphere is 2πr2+πr2=3πr2 . Hence, radius of hemisphere is 4 cm.

The value of x for given polynomial is 8.8.

The definition of a polygon is given as a closed two-dimensional figure with three or more straight lines.

Here, the length of sides of given Polygon are:

    4x, 6x, 12, 18

Perimeter of polygon = 118 units.

We know that,

Perimeter of polygon = Sum of all sides

                             118 = 4x + 6x + 12 + 18

                             118 = 10x + 30

                             118 - 30 = 10x

                               10x = 88

                               x = 88/10

                               x = 8.8

Thus, the value of x for given polygon is 8.8.

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Answer:

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.