Solve for x. Round your answer to the nearest thousandth.

a. 7.08 c. 8.442

b. 23.869 d. 10.903

Please select the best answer from the choices provided A B C D

Answer:

7/32

Step-by-step explanation:

0.21875 can be expressed as the fraction 7/32.

To express the decimal number 0.21875 as a fraction, we can follow these steps:

Step 1: Write the decimal number as a fraction with the same value as the original decimal number.

In this case, 0.21875 can be written as 21875/100000.

Step 2: Simplify the fraction if possible by finding the greatest common divisor (GCD) of the numerator and denominator.

The GCD of 21875 and 100000 is 625.

By dividing both the numerator and denominator by 625, we get:

21875/100000

= (21875 ÷ 625) / (100000 ÷ 625)

= 35/160.

Step 3: Further simplify the fraction if possible.

In this case, we can divide both the numerator and denominator by 5 to simplify the fraction:

35/160 = (35 ÷ 5) / (160 ÷ 5) = 7/32.

Therefore, 0.21875 can be expressed as the fraction 7/32.

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Answer:

A) 10

Step-by-step explanation:

The value of 8 in 2781 is in the tens place value.

The value of 8 in 948 is in the ones place value.

Note that the tens place value is x10 greater than the ones place value.

A)10 is your answer, for:

8 x 10 = 80

~

Answer:

A) 10

Step-by-step explanation:

The value of the 8, in 2781, is 10 times the value of the 8, in 948.

Answer:

there is a 25% chance that Tim takes 2 red sweets.

Step-by-step explanation:

P (2 red sweets)= 2/8

2/8 ÷ 2= 1/4

1/4= .25

.25= 25%

Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A.  We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4.  Filling in we have:

[tex]A=190e^{(.11)(4)}[/tex]

Simplifying that multiplication:

[tex]A=190e^{.44}[/tex].

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

The investment should be worth in 4 years is $295.01.

Given that,

Based on the above information, the calculation is as follows:

[tex]A = 190e^{0.11 \times 4}\\\\= 190e^{-44}\\\\= 190\times 1.55\\\\[/tex]

= $295.01

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TRUE IT IS REALLY TRUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

True, all points to the of zero on a horizontal number line are negative.

Step-by-step explanation:

Detailed explanation is as follows:

* All points to the left of zero on a horizontal number line are negative.

* A number line is a picture of a graduated straight line that serves as abstraction for real numbers.

* This number line can be extended to the left to represent numbers which are smaller than 0.

Tags: horizontal number line, points to the zero

Answer: I think is A

Step-by-step explanation:

You do y2-y1/x2-x1 and get a slope of 3 and according to the graph when the x is 3 the y is about 2 hope this help

Answer:

A

Step-by-step explanation:

if you do all the math will see that A is correct and the other guy said its A so its defently A

Answer:

Step-by-step explanation:

Any side to side movement of a function will be reflected inside a set of parenthesis with the x.  For example, if the function was a parabola, the parent graph could be, very simply,

[tex]y=x^2[/tex]

Side to side movement would make the equation look like this:

[tex]y=(x-h)^2[/tex]

where h is the x coordinate of the vertex.

Up or down movment would make the equation look like this:

[tex]y=x^2+k[/tex] for movement upwards, or

[tex]y=x^2-k[/tex] for movement downwards.  The k represents the y coordiante of the vertex in this parabola.

Because our function has NO numbers inside the parenthesis with the f(x), but it has a -1 after, we are moving the parent graph of this function, whatever it is, down one from its starting position.

The transformation from the graph of a function f(x) describes the graph of f(x) - 1 is a vertical shift down by 1 unit

From the question, we have the following parameters that can be used in our computation:

The function f(x)

Also, we have

The function f(x) - 1

Subtracting a value from a function means that the function is shifted down

In this case, the subtracted value is 1

This means that f(x) - 1 is a vertical shift down by 1 unit from f(x)

Answer:

  f(-2) = 3

Step-by-step explanation:

The graph goes through the point (-2, 3), indicating the value of f(x) is 3 when x=-2.

Answer:

D (1,0)

Step-by-step explanation:

Let the coordinates of D be (a,b).

The diagonals of a parallelogram bisect each other.

The midpoint of AC should be the same as the midpoint of BD.

[tex](\frac{-2+4}{2},\frac{4+-1}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]

[tex](\frac{2}{2},\frac{3}{2}) =(\frac{1+a}{2} ,\frac{3+b}{2})[/tex]

Compare corresponding coordinates

This implies that:

[tex]1+a=2[/tex], [tex]3+b=3[/tex]

[tex]a=2-1[/tex], [tex]b=3-3[/tex]

[tex]a=1[/tex], [tex]b=0[/tex]

Therefore the coordinates of D are: (1,0)

Answer:

Option D for plato users

Step-by-step explanation:

D.  (1, 0)

Answer:

[tex]2x^{3}-4x^{2}+24x-15[/tex]

Step-by-step explanation:

we have

[tex](2x^{3}+9x-8)-(4x^{2}-15x+7)[/tex]

step 1

Eliminate the parenthesis

[tex]2x^{3}+9x-8-4x^{2}+15x-7[/tex]

step 2

group terms that contain the same variable

[tex]2x^{3}-4x^{2}+(9x+15x)+(-8-7)[/tex]

step 3

Combine like terms

[tex]2x^{3}-4x^{2}+24x-15[/tex]

The special at Big Bob's Pizza which will give you more pizza for your money is Choice #1. Per square inch, Choice #1 will cost less and give more overall pizza at $0.10 a square inch then Choice #2 at $0.13 per square inch. You can find more pizza for your money, by using the area formula for a circle for each pizza and finding the price per square inch of each serving. This is called a unit rate and is the cost per unit.

a. Find the radius of each pizza.

Since a pizza is a circle shape, it has a diameter and radius. The diameter is the distance across the pizza and the radius is half the diameter. We use the radius to find the area.

b. Find the area of each pizza using [tex]A = \pi r^{2}[/tex].

       [tex]A = \pi r^{2} \\A = \pi (11)^{2} \\A = 121\pi \\A= 379.94[/tex]

       The area of one slice is [tex]\frac{379.94}{8} = 47.49.[/tex]

       [tex]A = \pi r^{2} \\A = \pi (3)^{2} \\A = 9\pi \\A= 28.26[/tex]

c. Divide each area by the price.

        [tex]\frac{4.95}{47.49} = 0.10[/tex]

       [tex]\frac{3.75}{28.26} = 0.13[/tex]

Grade: 8th Grade

Subject: Geometry

Chapter: Applications for Area of Shapes

Keywords: circle, area, radius, diameter, cost, unit rate

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Answer:

  "halfway between"

Step-by-step explanation:

The zero crossings are symmetrical about the line of symmetry, which is a vertical line through the vertex. The x-coordinate of the vertex s the average of the two x-intercepts, so lies between them--exactly halfway between them.

Answer:

Between

Step-by-step explanation:

The Vertex is a point where two or more curve meets. In the case of a quadratic equation, the vertex is at the minimum point (if a is positive) or at the maximum point (if a is negative).

When the graph of a quadratic function crosses the x-axis twice, the x-coordinate of the vertex lies between the two x-intercepts.

Note that the two x-intercepts are the roots of the quadratic function.

The answer is:

The area of the rhombus is equal to 64 squared inches.

[tex]area=64in^{2}[/tex]

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

[tex]area=\frac{diagonal_{1}*diagonal_{2}}{2}[/tex]

From the image we can see that:

[tex]diagonal_{1}=8in+8in=16in[/tex]

[tex]diagonal_{2}=4in+4in=8in[/tex]

So, substituting, we have:

[tex]area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}[/tex]

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!

Answer: SECOND OPTION.

Step-by-step explanation:

You can calculate the area of the rhombus with this formula:

[tex]A=\frac{d_1*d_2}{2}[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the lengths of the diagonals.

You can observe in the figure that the length of each diagonal is:

[tex]d_1=4in+4in=8in\\d_2=8in+8in=16in[/tex]

Now you can substitute the lenghts of the diagonals into the formula. Therefore, the area of this rhombus is:

 [tex]A=\frac{(8in)(16in)}{2}[/tex]

 [tex]A=\frac{128}{2}[/tex]

 [tex]A=64in^2[/tex]

Answer:

Multiply the number of notebooks by the weight of one notebook.

When multiplying a whole number by a fraction, multiply the whole number by the top number of the fraction, and then divide that by the bottom number of the fraction.

56 x 5 = 280

280 / 8 = 35

The 56 notebooks weigh 35 pounds.

The answer is:

The length of the longer side of the rectangle is equal to 45 units.

To solve the problem, we need to use the formula to calculate the perimeter of a rectangle, then, isolate the variable and finally, calculate the length of the longer side.

We can calculate the perimeter of a rectangle using the following equation:

[tex]Perimeter=2Length+2Width\\[/tex]

Let be the length the longer side and the width the short side of the rectangle.

Then, substituting the given information and calculating we have:

[tex]146=2*(3x+3)+2*2x\\146=6x+6+4x\\146-6=10x\\140=10x\\\\x=\frac{140}{10}=14[/tex]

Now, calculating the long side of the rectangle, we have:

[tex]LongSide=3*14+3=45units[/tex]

Hence, we have that the length of the longer side of the rectangle is equal to 45 units.

Have a nice day!

Answer:

The equation is: y = 5x - 268

Explanation:

We are given that:

At 73°F, the chirp is 97 times per minute .........> first point is (73, 97)

At 80°F, the chirp is 132 times per minute .......> second point is (80, 132)

The general equation of the linear line is:

y = mx + c

where m is the slope and c is the y-intercept

1- getting the slope:

The slope can be calculated using the following rule:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substitute with the given points to get the slope as follows:

[tex]m = \frac{132 - 97}{80 - 73} = 5[/tex]

The equation, now, became:

y = 5x + c

2- getting the y-intercept:

To get the y-intercept, use any of the given points and substitute in the rule we got in part 1. I will use the point (80, 132)

Therefore:

y = 5x + c

132 = 5(80) + c

c = 132 - 5(80) = -268

The equation, therefore, is:

y = 5x - 268

Hope this helps :)

Answer:

t = 11,794 years

Step-by-step explanation:

If you are looking for a confirmation that your answer is correct, it is.

Answer:

B. infinite solutions along a line

Step-by-step explanation:

The matrix is equivalent to the equations ...

x = 2

y = 9

0z = 0 . . . . . . true for any z

This tells you the solutions are ...

(x, y, z) = (2, 9, z)

This defines a line parallel to the z-axis.

Answer:

11/381

Step-by-step explanation:

Not sure what the ? after each number means but I'm going to assume they aren't there

so we need find the number of tokens in all which is

44+1414+66=1524

P(red)=44/1524 now reduce giving P(red)=11/381

Moderators please delete this answer.

Answer:

Step-by-step explanation:

e

Answer: B- 72

Step-by-step explanation:

Answer:

Explanation:

For the first question, the mathematical (statistical, to be more precise) definition of a event that is impossible is that its probability is zero.

There are two extremes when you talk about probability: 0 and 1. 0 means that the event cannot occur in any way, while 1 is that the event is certain (it cannot not happen).

An example of an event with probability 0 is: men born in the Sun. This is an impossible event, and so there is no chance (probability 0) to find a man born in the Sun.

For the second question, when you deal with empirical results, this is with an experiment, the fact of having a probability zero as result of approximations does not make that an event be impossible; the event is unlikely (if the experiments were carried out properly) but yet it can happen.

For example, say you put 1,000 ballots in a bag with the number 3, together with 1 ballot with the number 9. Then, you perform the experiment of drawing a ballot 2,000 times. Suppose you draw the ballot with the number 9 two times. In that case, your approximated experimental probability of drawing a 9 will be 2 /2,000 = 0.001. Which you could round to 0.00. That may be valid but it cannot be taken as that the event of drawing the ballot with the number 9 is impossible, it is just unlikely.

Answer:

0

Step-by-step explanation:

Answer:

  After you swap the top two descriptions on the right, everything matches  straight across.

Step-by-step explanation:

1. The circle described is the incircle, circumscribed by the polygon.

2. When the tangent line separates the centers of the circles to which it is tangent, it is called an internal tangent.

3. An external tangent will be parallel to or will intersect the line joining circle centers at a point not between any of those centers.

4. A tangent to a circle is coplanar with the circle and intersects it in exactly one point.

Answer:

  a + b - c - d

Step-by-step explanation:

The rules of exponents are ...

  (x^a)(x^b) = x^(a+b)

  (x^a)/(x^b) = x^(a-b)

Using these rules on your expression, we can simplify it to ...

  (3^a) · (3^b) ÷ (3^c) ÷ (3^d)

  = 3^(a+b) ÷ (3^c) ÷ (3^d)

  = 3^(a+b-c) ÷ (3^d)

  = 3^(a+b-c-d)

_____

The Order of Operations requires multiplication and division be evaluated left-to-right in order of appearance. The ÷ symbol means the same thing as the / symbol in this context: whatever is on its immediate left is divided by whatever is on its immediate right.

Answer:

168

Step-by-step explanation:

132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168

The first attachment is one way that quadrilaterals can be classified. If you've never studied a diagram like this before, it would certainly be mysterious.

There is a little more to it in that a "kite" is not the only kind of quadrilateral with no parallel sides.

Your diagram apparently doesn't recognize the special sorts of trapezoids you might have other than isosceles.

___

The classifications on the first diagram are numbered. The numbers on the second diagram are the way I'd match up the descriptions to the bubbles in your diagram.

Answer:

a. $51,458

Step-by-step explanation:

Answer:

the correct answer is option A

Step-by-step explanation:

given,

Health insurance payment = $1,825

Life insurance per year = $ 93

paid off per year =   $2,860

monthly gross pay is = $3,890

Miguel's  get paid yearly =health insurance + life insurance + paid time off

                                        = 1825 + 93 + 2860

                                        = $ 4778

his monthly gross pay = $ 3,890

his yearly  gross pay =  $ 3,890 ×12

                                   = $ 46,680

hence total job benefit =  $ 46,680 + $ 4778

                                      = $51,458

so , the correct answer is option A

The smallest angle occurs opposite the shortest side length of the triangle. So by the law of cosines we have

[tex]11^2=13^3+19^2-2\cdot13\cdot19\cos\angle J\implies\cos\angle J=\dfrac{409}{494}\implies\theta\approx\boxed{34^\circ}[/tex]

Answer:

The measure of angle J is 34°

Step-by-step explanation:

Given,

J is the smallest angle in the triangle with sides measuring 11, 13, and 19,

Thus, J must be the opposite angle of the side measuring 11,

Since, the law of cosines,

[tex]a^2 = b^2 + c^2 - 2bc cos A[/tex]

Where, a, b and c are the sides of a triangle ABC,

Such that angle A is opposite to the side measuring a,

By applying the law,

We can write,

[tex]11^2 = 13^2 + 19^2 - 2\times 13\times 19 cos J[/tex]

[tex]121 = 169 + 361 - 494 cos J[/tex]

[tex]\implies cos J = \frac{169+361-121}{494}=\frac{409}{494}[/tex]

[tex]\implies m\angle J=34.1127839945\approx 34^{\circ}[/tex]

Second option is correct.

Answer:

A

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

Formula: Range = highest value - lowest value

Step 1: List all the data in ascending order

1.8, 2.4, 3.5, 4.9, 5.2, 6.4

Step 2: Identify the lowest and highest number

Lowest number : 1.8

Highest number : 6.4

Step 3 : Substitute the values in the formula

Range = highest value - lowest value

6.4 - 1.8 = 4.6

!!