what is the value of the expression?
2 1/4 divided by 1 2/5

Answer:

d 8/7

Step-by-step explanation:

8 * -2 * -1

     ----  ----

     7      2

Multiply the numerators

8*-2*-1 = 16

Multiply the denominators

7*2 =14

Put the numerator over the denominator

16/14

Both the numerator and the denominator can be divided by 2

8/7

16 and 5 are the factors

Answer: 5 and 16

Step-by-step explanation:

Because 5 plus 16 is 21.

               then 5 times 16 is 80

➷ Opposite angles in a cyclic quadrilateral total to 180 degrees

180 - 80 = 100

w = 100 degrees

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

D

Step-by-step explanation:

Remembering that the product of 2 negatives is positive, then

- 25 × - 3 = 75 → D

Final answer:

Upon examining the factor pairs given in the options, none of them correctly multiply to a positive 75. There seems to be a typo in the options as none matches the requirement for the product to be 75. Most likely, the correct factor pair is missing or misrepresented.

Explanation:

The question asks to identify which factor pair has a product of 75. To find factors of 75, we look for pairs of numbers that multiply together to give the product of 75. Remember, the product of two negative numbers is positive.

Option A (25 and -3) does not give 75 as a product because 25 multiplied by -3 is -75.

Option B (-15 and 5) gives us a product of 75, since -15 multiplied by 5 is -75 (but we are looking for a positive 75).

Option C (-75 and 1) is incorrect because it results in -75, not 75.

Option D (-25 and -3) is also incorrect, as the product of two negative numbers would be positive, but it results in +75.

However, upon reviewing the options provided, it appears none of them correctly multiply to a positive 75. Most likely, there is a typo in the question or the options presented. In mathematics, finding factors of a number means identifying two numbers that, when multiplied together, give the original number. While option B's multiplication gives a product of -75, it is close to our target; we need a positive value, i.e., 75, not -75.

Look at the picture.

The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.

x-intercept (-250, 0)

y-intercept (0, 100)

Answer:

[tex]\boxed{\bold{15x-6}}[/tex]

Step By Step Explanation:

Expand [tex]\bold{-3\left(2-3x\right)}[/tex]

[tex]\bold{-6+9x}[/tex]

Rewrite Equation

[tex]\bold{6x-6+9x}[/tex]

Simplify [tex]\bold{6x-6+9x}[/tex]

[tex]\bold{15x-6}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]

100%-14%=86%

2006, 2007, 2008 = 3 year

14 000$ *0,86³= 14000*0,636056=8904,784

answer ≈8904,78$

Answer:

8900

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We need to find total area of the two rooms (hexagon and nonagon) and then multiply that by 4.5 to get total cost.

Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}[/tex]

Where a is the side length (which is 50)

Hence,

Area of Hexagon = [tex]\frac{3\sqrt{3}a^{2} }{2}=\frac{3\sqrt{3}(50)^{2} }{2}=6495.2[/tex]

Also, area of Nonagon is given by  [tex]6.1818*s^2[/tex]

Where s is the length of the side

Hence,

Area of Nonagon = [tex]6.1818*s^2=6.1818*(50)^2=15,454.5[/tex]

Total floor area = 6495.2 + 15,454.5 = 21,949.7

Hence,

Total Cost = 21,949.7 * 4.5 = 98,773.65

THis is closest to the answer choice D.

Answer:

Step-by-step explanation:

A square

Tina will need 64 cardboard building blocks to build the wall.

Step 1: Convert all measurements to inches.

The thickness of the wall is already 4 inches.

The height of the wall is 3 feet. Since 1 foot = 12 inches, then:

[tex]3 \text{ feet} = 3 \times 12 \text{ inches} = 36 \text{ inches}[/tex]

The length of the wall is 12 feet. Therefore:

[tex]12 \text{ feet} = 12 \times 12 \text{ inches} = 144 \text{ inches}[/tex]

Step 2: The volume of a rectangular wall can be found using the

formula:

[tex]\text{Volume} = \text{Length} \times \text{Height} \times \text{Thickness}[/tex]

Substituting the values:

[tex]\text{Volume} = 144 \text{ inches} \times 36 \text{ inches} \times 4 \text{ inches}[/tex]

[tex]\text{Volume} = 20736 \text{ cubic inches}[/tex]

Step 3: The dimensions of the block are 9 inches x 9 inches x 4 inches,

so:

[tex]\text{Volume}_{\text{block}} = 9 \text{ inches} \times 9 \text{ inches} \times 4 \text{ inches}[/tex]

[tex]\text{Volume}_{\text{block}} = 324 \text{ cubic inches}[/tex]

Step 4: To find out how many blocks are needed for the wall, divide the

total volume of the wall by the volume of one block:

[tex]\text{Number of blocks} = \frac{\text{Volume of wall}}{\text{Volume of one block}}[/tex]

[tex]\text{Number of blocks} = \frac{20736 \text{ cubic inches}}{324 \text{ cubic inches}}[/tex]

[tex]\text{Number of blocks} = 64[/tex]

Answer:

[tex]\large\boxed{D)\ \left(-\dfrac{1}{3},\ -\dfrac{22}{9}\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}\dfrac{2}{3}x-\dfrac{1}{2}y=1&\text{multiply both sides by 6}\\\dfrac{1}{4}x+\dfrac{3}{8}y=-1&\text{multiply both sides by 8}\end{array}\right\\\left\{\begin{array}{ccc}6\!\!\!\!\diagup^2\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-6\!\!\!\!\diagup^3\cdot\dfrac{1}{2\!\!\!\!\diagup_1}y=6\cdot1\\8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}x+8\!\!\!\!\diagup^1\cdot\dfrac{3}{8\!\!\!\!\diagup_1}y=8\cdot(-1)\end{array}\right[/tex]

[tex]\underline{+\left\{\begin{array}{ccc}4x-3y=6\\2x+3y=-8\end{array}\right}\qquad\text{add both saides of the equations}\\.\qquad6x=-2\qquad\text{divide both sides by 6}\\.\qquad x=-\dfrac{2}{6}\\\\.\qquad\boxed{x=-\dfrac{1}{3}}\\\\\text{Put the value of x to the second equation:}\\\\2\left(-\dfrac{1}{3}\right)+3y=-8\\\\-\dfrac{2}{3}+3y=-8\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\3y=-\dfrac{24}{3}+\dfrac{2}{3}[/tex]

[tex]3y=-\dfrac{22}{3}\qquad\text{divide both sides by 3}\ /multiply\ both\ sides\ by\ \frac{1}{3}/\\\\\boxed{y=-\dfrac{22}{9}}[/tex]

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0 , 4) and (x₂, y₂ ) = (4, 10)

m = [tex]\frac{10-4}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

note the line passes through (0, 4) ⇒ c = 4

y = [tex]\frac{3}{2}[/tex] x + 4 ← equation of line → D

Answer:

8.75 hours

Step-by-step explanation:

120 miles in 3 hours = 40 mph

350 divided by 40 = 8.75

1/2 of 1/3 of 1/4 of 80ft

= 1/2 of 1/3 of (1/4 of 80ft)

= 1/2 of 1/3 of 20ft

= 1/2 of (1/3 of 20ft)

= 1/2 of (20/3) ft

= 20/6 ft

> 18/6 ft

= 3ft

So the order was longer than 3 feet.

Answer:

-12

Step-by-step explanation:

numerator: -10 - 6 + 4 = -16 + 4 = - 12

denominator: (-0.5)(-2) = 1 Try this on your calculator.

Answer

-12 / 1 = - 12

Answer:

Step-by-step explanation:

Unfortunately, your π2 is improperly formed.  I will assume that you actually meant π² ("pi squared").

Then the three numbers are 99, 9.87, 9.8.

Smallest:  9.8

Largest"  99 (did you mean 9.9?)

Under the assumptions I have made, the numbers, in increasing order, are 9.8, 9.87, 99

Answer:

From least to greatest, the numbers are  [tex]99,\ \pi^2,\ 9.8[/tex]

Step-by-step explanation:

Given : The numbers are [tex]99,\ \pi^2,\ 9.8[/tex]

To find : Order the numbers from least to greatest ?

Solution :

Writing all numbers in same from,

We know, [tex]\pi=3.14[/tex]

[tex]\pi^2=(3.141)^2=9.86[/tex]

Numbers are [tex]99,\ 9.86,\ 9.8[/tex]

The least number is 9.8.

The greatest number is 99.

From least to greatest, the numbers are   [tex]9.8,\ 9.86,\ 99[/tex]

or [tex]99,\ \pi^2,\ 9.8[/tex]

Answer:  B. 0, 2

Step-by-step explanation:

x² - 2x = 0

x(x - 2) = 0                          Factored the left side

x = 0   and    x - 2 = 0         Applied the Zero Product Property

                     x = 2              Solved the remaining equation

Therefore, x = 0 and x = 2

Slope intercept form:

y=mx+b

Right now we have:

-y=4-x

x=1 because it’s not being multiplied by anything

y-intercept = 4 because it’s what you’re adding

Then we just need to move 4 to the other side of “x”

And with that, we conclude with a line in slope intercept form:

-y=x-4

It’s a negative 4 and a positive x, because you’re supposed to do the opposite

If it’s a negative, you add. If it’s a positive, you subtract.

Answer:

[tex]y=40,500(1.038^{x})[/tex]

Step-by-step explanation:

Let

x----> the time in years

y----> the population

we know that

[tex]100\%+3.8\%=103.8\%=103.8/100=1.038[/tex]

so

[tex]y=40,500(1.038^{x})[/tex]

Final answer:

For Krystal City's population of 40,500 increasing at 3.8% annually, the function is [tex]P(t) = 40500(1 + 0.038)^{t[/tex].

Explanation:

A population function can be represented as:

[tex]P(t) = P_0(1 + r)^{t[/tex]

Where:

For Krystal City with a population of 40,500 and a growth rate of 3.8% annually, the function would be:

[tex]P(t) = 40500(1 + 0.038)^{t[/tex]

Answer: Reserved = 431, General Admission = 1356

Step-by-step explanation:

Let x represent the Reserved tickets.

Let y represent the General Admission tickets.

Cost Equation:        4x + 3y = 5792

Quantity Equation:    x + y = 1787

Use Elimination Method:

4x + 3y = 5792  →   1(4x + 3y = 5792)   →   4x + 3y =  5792

 x +   y = 1787   →  -3( x +    y = 1787)    → -3x  - 3y = -5361

                                                                      x         =   431

Now substitute x = 431 into one of the original equations:

x + y = 1787

431 + y = 1787

        y = 1356

Answer:

3 cycles

Step-by-step explanation:

in one period, you have one full cycle

because the period for this function is 4pi, you have one cycle per 4pi

if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)

hope this helps!

Answer:

1. 3

2. horizontal stretch

3. A.

Step-by-step explanation:

Answer:

36π cm³

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = [tex]\frac{4}{3}[/tex]πr³ ← r is the radius = 3

V = [tex]\frac{4}{3}[/tex]π × 3³

  = [tex]\frac{4}{3}[/tex]π × 27

  = 4π × 9 ( cancelling the 3 and 27 )

  = 36π cm³

Here is your answer

B) [tex]36×pi[/tex] [tex]{cm}^{3}[/tex]

REASON:

We know that,

Volume of sphere= [tex] 4/3 pi×{r}^{3} [/tex]

Here r= 3cm

So, V= [tex] 4/3 × pi× {3}^{3} cm^3 [/tex]

= [tex] 4×pi × {3}^{2} cm^3 [/tex]

= [tex] 4×9× pi cm^3 [/tex]

= [tex] 36× pi cm^3 [/tex]

HOPE IT IS USEFUL

The correct answer is 36.

Answer:

Yes. a rotation about point c

Step-by-step explanation:

just answered it.

A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. Without specific information about the coordinates or measurements of the triangles, it is not possible to determine if a rigid transformation exists.

A rigid transformation is a transformation that preserves the shape and size of an object. It includes translations, rotations, and reflections. In order for triangle ΔABC to be mapped to triangle ΔDEC, there must be a combination of translations, rotations, and reflections that can bring the two triangles into congruence.

However, without specific information about the coordinates or measurements of the vertices of the triangles, it is not possible to accurately determine if a rigid transformation exists that can map ΔABC to ΔDEC.

For 1 year Jeff pays $1200.

For 6 years he pays 7200 / 6 = 1200 per year.

For 9 years he pays 10800 / 9 = 1200 per year.

Jeff's unit rate is $1,200 per year.

Daniel pays $1,150 per year.

150 is less than 1200, so the answer would be:

A.  Daniel's unit rate is lower. It is $1,150 per year.

Answer:

View the picture for your answer!

Have a great day.

Answer and Explanation :

To find : What is the phase shift of a periodic function?

Solution :

The Phase shift is defined as a horizontal shift in a function in any direction.

Horizontal stretches will change the period of the function and that horizontal shift is called a phase shift or the amount of shift in a wave horizontally.

The phase shift is measured in degrees.

Refer the attached figure below for the pictorial representation of teh phase shift.

In the figure, [tex]\frac{\pi }{2} \text{ to } \pi[/tex] is showing the phase shift.

Example - Taking a general example of sin function

[tex]y = A \sin(B(x + C)) + D[/tex]

In this the phase shift is at C (positive is to the left).

We use the vertical side as the base: it is a vertical segment, so it's length is the difference of the y coordinates of its endpoints:

[tex] b = y_2-y_1[/tex]

The height would be the segment starting from [tex](x_3,y_3)[/tex], perpendicular to the base. Since this is a horizontal segment, its length is the difference of the x coordinates of its endpoints:

[tex]h = x_3-x_1[/tex]

So, the area is given by

[tex]A = \dfrac{bh}{2} = \dfrac{(y_2-y_1)(x_3-x_1)}{2}[/tex]

Answer:

A = 18

Step-by-step explanation:

Drop a perpendicular from (x₃, y₃) to point A on the opposite side.

The vertical line containing A is the base of the triangle, and the horizontal line is its height,

The formula for the area of a triangle is  

A = ½bh

b = y₂ - y₁ = 6

h = x₃ - x₁ = 6

A = ½ × 6 × 6 = 18

The area of the triangle is 18.

Answer:

X-int: (2,0) , (-5,0)

Y-int: (0,-10)

Answer:

Option D. [tex]y=-4x^{2} -16x-12[/tex]

Step-by-step explanation:

using a graphing tool

Graph and determine the vertex in each case

we know that

If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be  equal to -2 and the parabola open downward

case A) [tex]y=-x^{2} -20x-16[/tex]

The vertex is the point [tex](-10,84)[/tex]

case B) [tex]y=-x^{2} -16x-12[/tex]

The vertex is the point [tex](-8,52)[/tex]

case C) [tex]y=-4x^{2} -20x-16[/tex]

The vertex is the point [tex](-2.5,9)[/tex]

case D) [tex]y=-4x^{2} -16x-12[/tex]

The vertex is the point [tex](-2,4)[/tex] -------> is the answer

see the attached figure

The equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12, determined by finding the vertex of each quadratic equation and identifying the one with the vertex x-coordinate at -2.

The given equations are all in quadratic form, which can have a maximum value at their vertex point if the leading coefficient is negative. To find the equation that has a maximum value at x = -2, we need to put the equations in vertex form, which is y = a(x - h)^2 + k, where (h, k) is the vertex. By transforming the given equations, we seek the equation that has its vertex at x = -2. This is done by completing the square or using the formula h = -b/(2a) to find the x-coordinate of the vertex.

Let's apply the formula h = -b/(2a) to each equation:

Therefore, the correct equation with a maximum value at x = -2 is D) y = -4x^2 - 16x - 12.