Julie has a jewelry box shaped like a cube. If the volume is
216 cm³, what is the edge length of Julie's jewelry box?
A 14.7 cm
B 108 cm
C 6 cm
D 72 cm

Answer:

d  138

Step-by-step explanation:

<5 is vertical to <2, so they are congruent.

<2 is corresponding to the 138° angle, so they are congruent.

m<5 = m<2 = 138°

Answer: d  138

The value of x in the given figure is 10.

In the given triangle,

∠ADC = ∠BDC =  90°

Hence the triangles ΔACD and ΔBCD are right-angle triangles. Thus we can apply Pythagoras' theorem in both triangles.

So in ΔACD,

CB² = BD² + DC²

And in ΔBCD,

CA² = AD²+ DC²

But, CA = 15 and CB = x + 5

So, (x + 5)² = BD² + DC²

15² = AD² + DC²

⇒225 = AD² + DC²

Here, BD = AD as given in the figure

Replacing BD with AD in the first equation we get,

(x + 5)² = AD² + DC²

Now, equate the values of AD² + DC² to obtain the value of x,

(x + 5)² = 225

⇒ x² + 25 + 10x = 225

⇒ x² + 10x - 200 = 0

⇒ x² + 20x - 10x - 200 = 0

⇒x(x + 20) - 10(x + 20) = 0

⇒(x + 20)(x - 10) = 0

Thus x = -20, 10

Hence the value of x is 10.

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The general form of equation a) y = 2, b) x = -4.

Here the point A = (-4,2)

a) we have to find the equation parallel to the x-axis

As a line should be parallel to x axis so it must pass from y-axis. As the coordinate of A is (-4, 2) so by this we get y = 2 and x = -4.

But we have to put the value of x as 0 and y = 2 then only we get an equation of a line parallel to x-axis.

So y = 2

which is parallel to x-axis

b) equation of a line perpendicular to the x-axis.

As a line should be perpendicular to x-axis, so line should pass form the x-axis and not with the y-axis. As point A is (-4. 2), so we have to take the value of x = -4 and y = 0. So we get an equation.

x = -4 is the general equation.

Therefore the general equation a) y =2 and b) x =-4.

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The equation in slope-intercept form of the line passing through the given points is,  y = (-1/2)x + 1

A table containing values of x and y is given:

x           y

-2          2

0           1

2           0

4           -1

So the points on the line are:

(-2,2), (0,1), (2,0) and (4,-1)

The equation in slope-intercept form of a line is,

   y = mx + c,

where m is the slope of the line and c, the y-intercept of the line.

So we need to find the slope and the y-intercept of the line from the given table values.

Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).

Then slope of the line, m = (y₂-y₁)/(x₂-x₁)

                                           = (1-2)/(0- -2)

                                           = -1/2

The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.

From the table, when x = 0, y = 1.

Hence the y-intercept, c = 1.

So finally, the equation in slope-intercept form of the line is,

y = (-1/2)x + 1

The question is incomplete. Find the complete question below:

Find an equation in slope-intercept form of the line that passes through the given points.

x           y

-2          2

0           1

2           0

4           -1

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By solving equations, we can conclude that there are 30 oatmeals in the jar.

So, a number of oatmeals are in the jar.

The total number of cookies is 54.

From the equation:

Now, solve for 'x' as follows:

Number of oatmeals when "x = 6':

Therefore, by solving equations, we can conclude that there are 30 oatmeals in the jar.

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Answer:

24 cans=72 people

1 people = 24÷72 cans

39 people = 24÷72×39 cans

=13 cans

The perimeter of the rectangular tennis court is 96.7 m

An equation shows the relationship between two or more numbers and variables.

Let x represent the length and y represent the width. A rectangular tennis court has an area of 528 m², hence:

Area = length * width

528 = xy

y = 528/x

If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m². Hence:

new area = new length * new width

528 + 16 = (x - 1)(y + 1)

xy + x - y + 1 = 544

x(528/x) + x - 528/x + 1 = 544

528 + x - 528/x + 1 = 544

multiplying through by x:

528x + x² - 528 + x = 544x

x² -15x - 528 = 0

x = 31.67, hence y = 528/31.67 = 16.67

Perimeter = 2(x + y) = 2(31.67 + 16.67)

Perimeter = 96.7 m

The perimeter is 96.7 m

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Answer:

i believe the answer is the distributive property

 A function is a relationship between inputs where each input is related to exactly one output.

The outputs are called the range

The range of the function:

R = {-1, 0, 3}

Option C is the correct answer.

 A function is a relationship between inputs where each input is related to exactly one output.

A function has an input and an output.

Example:

f(x) = x + 1

f(1) = 1 + 1 = 2

Input = domain = 1

Output = range = 2

We have,

Function:

y = x² - 1

The domain of a function = {-2, -1, 0, 1, 2 }

Let y = f(x)

x = -2, -1, 0, 1, 2.

f(-2) = 4 - 1 = 3

f(-1) = 1 - 1 = 0

f(0) = 0 - 1 = -1

f(1) = 1 - 1 = 0

f(2) = 4 - 1 = 3

Thus,

The range of the function:

R = {-1, 0, 3}

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Answer:

$27.00 is discounted from the price.

Step-by-step explanation:

60% means per hundred

60/100 when you divide by 100 you move the decimal 2 places to the left

.6 x 45 = 27

Primarily use the Distributive Property to solve this equation.

3(5 - x) - 2(5 + x) = 3(x + 1)

Distribute the outer terms.

3(5) + 3(-x) - 2(5) - 2(x) = 3(x) + 3(1)
15 - 3x - 10 - 2x = 3x + 3
-3x - 2x + 15 - 10 = 3x + 3
-5x + 5 = 3x + 3

Now, isolate all x terms.

-5x + 5x + 5 = 3x + 5x + 3
5 = 8x + 3
5 - 3 = 8x + 3 - 3
2 = 8x
2/8 = 8x/8
x = 1/4

Answer:

A question you will ask the people in your sample.

EXPLANATION:

Given;

We are given a graph of a function.

Required;

We are required to determine from the graph if the function is even, odd or neither even nor odd.

Solution:

To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.

Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.

However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.

Therefore, the graph depicted is an odd function

ANSWER:

The function is an ODD function

The zeros of the factored form of the equation is x = 1, 5, and -7.

Factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form. Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

We have been given the factored equation as; y=(x−1)(x−5)(x+7) that has zeros (or x-intercepts).

y=(x−1)(x−5)(x+7)

then the roots of the equation;

For (x−1)

x - 1 = 0

x = 1

For (x−5)

x - 5 = 0

x = 5

For (x+ 7)

x + 7 = 0

x = -7

Hence, The zeros of the factored form of the equation is x = 1, 5, and -7.

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Answer:

Step-by-step explanation:

ewerwerer

Answer:

58/9 = x

Step-by-step explanation:

3(x-5) + 2(3x-1) = 41

Expand:

(3x-15) + (6x-2) = 41

Simplify:

9x-17 = 41

9x = 58

x = 58/9

Hope that helps

Answer:

2021= 700cds  2020=750cds

Step-by-step explanation:

Puedes ver como indica en el lado izquierdo que la barra de cds de el 2021 esta en la mitad de 800 y 600 que es igual a 700 cds en 2021

Y en la parte del 2020 se ve que este en la mitad de 800 y 700 considerando el calculo anterior por lo que daría 750 cds en 2020

Answer: 12x-8y

- Hope this helped.

Answer:

12x-8y

Step-by-step explanation:

combine 10x and 2x

the combine (-5y) and (-3y)

Answer:

There is a linear relationship between costumes and fabric. The rate of change is 3 1/2 yards per costume.

Step-by-step explanation:

The second possible answer is correct,

3 and 1/2

brailiest would be appreciated :]

Answer:  The correct answer is B. There is a linear relationship between the number of costumes and fabric. The rate of change is 3.5 yards per costume.

Step-by-step explanation:

Divide the Fabric yards by the number of costumes:

7 / 2 = 3.5

14 / 4 = 3.5

21 / 6 = 3.5

28 / 8 = 3.5

Since they are all 3.5 yards per costume, the relationship is LINEAR

After solving the quadratic equation x² + 3x = 40 using the quadratic formula, (A)  x = –8, x = 5  

We can solve this quadratic formula by following a few steps.

The given equation is,

x² + 3x =40

Let's subtract 40 from both sides,

x² + 3x - 40 =40 - 40

Or, x² + 3x - 40 = 0

Now, we have to find a suitable pair of factors of -40 which is capable to generate +3 ( coefficient of x ).

The required pair is 8 and -5, and ( 8 - 5 ) = 3    

[ -40 = 8 × -5 ]

Therefore, x² + 3x - 40 = 0

Or, x² + ( 8 - 5 )x - 40 = 0

Or, x² + 8x - 5x - 40 = 0

Or, x ( x + 8 ) - 5 ( x + 8 ) = 0   [ taking x and 5  as common ]

Or, ( x + 8 ) ( x - 5 ) = 0            [ taking ( x + 8 ) as common ]

If the multiplication or product of two or more terms is zero, then we can write each term as zero.

               ( x + 8 ) = 0

               Or, x = -8        ( by subtracting 8 from both sides )

              ( x - 5 ) = 0

              Or, x = 5           ( by adding +5 with both sides )

Now, we can conclude that x = -8 and 5.    

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Answer:

Answer down below!

Step-by-step explanation:

Let's start off by finding a point in the graph where we can start off on

This point that we can use it (0,-3)

From there, we use rise/run to find the slope

We go up 1 and over 1

Thus, our slope is 1!

Answer:

A , B, D, F

Step-by-step explanation:

A) ∠1 ≅ ∠ 4    {Vertically opposite angles are congruent}

B) m∠2 + ∠4 + ∠6 = 180°    {Straight line angles}

    ∠6 ≅ ∠3

⇒ ∠2 + ∠4 + ∠3 = 180°

D) ∠2 + ∠3 + ∠4 = 180°   {Straight line angles}

f) ∠2 + ∠3 = ∠5 + ∠6   {Vertically opposite angles}

Answer:

x=24

y=58

Step-by-step explanation:

5x+20=6x-4

5x-6x=-20-4

-x=-24 /:(-1)

x=24

5×24+20+y-18=180

122+y=180

y=180-122

y=58

You cannot replace a type of formatting inside a cell with a different type of formatting.

Your search string is treated as a pattern by the dialog box, which then returns all records that do. Consider the case where you have a datasheet (a table or a query result) with details on clients, vendors, goods, and order dates. The find operation returns all occurrences of "mar" when you perform a search, along with any additional entries that meet the pattern you supplied.

The dialog box doesn't scan the full database; it simply searches one table at a time. You can search the table that supports a form if the dialog box is opened from within one.

For some features provided by the Find and Replace dialog box the search and replace feature can't accept the following condition.

That a user cannot replace a type of formatting inside a cell with a different type of formatting.

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Answer:

v = 8

Step-by-step explanation:

[tex]2(2v + 9) = 50[/tex]

[tex]2v + 9 = 25[/tex]

[tex]2v = 16[/tex]

[tex]v = 8[/tex]