Emilie draws a circle with a diameter of 10 inches.Ethan draws a circle with a diameter that is half as long as the diameter of Emilie's circle.How will the circumference of Ethan's circle compare with the circumference of Emilie's circle?Explain.​

The only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

The zeros of a function, f(x), represent the values of x that make the function equal to zero. To find the zeros of the given function, f(x) = x^2 - 8x + 16, we need to solve the equation f(x) = 0.

Let's set the equation equal to zero and solve for x:

x^2 - 8x + 16 = 0

To solve this quadratic equation, we can use factoring or the quadratic formula. In this case, the equation can be factored as:

(x - 4)(x - 4) = 0

This means that the equation is equivalent to (x - 4)^2 = 0.

To find the zeros, we set (x - 4)^2 = 0 and solve for x:

(x - 4) = 0

x = 4

So, the only zero of the function f(x) = x^2 - 8x + 16 is x = 4.

In other words, the graph of the function f(x) = x^2 - 8x + 16 intersects the x-axis at the point (4, 0).

Answer:

Step-by-step explanation:

(I assume it's [tex]12sin^2 x -13 sinx +3 = 0[/tex])

Start by setting [tex] sinx = y [/tex] (or whichever letter you prefer). Your equation becomes [tex] 12y^2 -13y +3 = 0[/tex] . Solving for y you get [tex]y = \frac {-(-13) \pm \sqrt{13^2 - 4*3*12} } {2*12} =\frac{ 13 \pm \sqrt{13^2-12^2}} {24} = \frac {13 \pm5 }{24}\\ y = \frac {18} {24} = \frac 34; y= \frac 8 {24} = 1/3[/tex]

But we're not done yet. Since we said  [tex] sinx = y [/tex], you need to solve both  [tex] sinx = \frac 3 4 [/tex] and  [tex] sinx = \frac 1 3 [/tex], whose solutions are the inverse sine of said values, plus any number of complete rotations.

Answer:  387.93 units

Step-by-step explanation:

You have the following information given in the problem above:

- The sales  had dropped 33% from one quarter to the next.

- The owner sold 579 units in the first quarter.

Thefore, to calculate the number of units she sold in the next quarter (which you can call x), you must can apply the following proccedure:

[tex]x=579units-(0.33)(579units)[/tex]

Then the answer is the following:

[tex]x=387.93units[/tex]

To determine the number of units sold in the next quarter, we subtract 33% of 579 (approximately 191) from 579. This results in approximately 388 units sold in the next quarter.

To solve this question, we calculate 33% of the units sold in the first quarter. 33% of 579 equals to 191.07. However, since we cannot have a fraction of a unit, we can approximate this to 191 units. Thus, in the next quarter, the music store owner sold 579 - 191 or 388 units.

This example uses a concept called percentage decrease in mathematics. A percentage decrease is the amount by which a quantity is reduced by a specified percentage.

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". In this case, a decrease in CD sales was represented as a percentage.

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Answer: 16.8

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

3x + 2y

x = 4 and y = 2.4

//replace x and y with it's value and combine like terms.

3(4) + 2(2.4)

12  + 4.8

16.8

Answer:

[tex]5.3\ years[/tex]  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]A=\$9,000\\ P=\$6,500\\ r=0.0625\\n=2[/tex]  

substitute in the formula above  and solve for t

[tex]9,000=6,500(1+\frac{0.0625}{2})^{2t}[/tex]  

[tex]1.38462=(1.03125)^{2t}[/tex]  

applying log both sides

[tex]log(1.38462)=(2t)log(1.03125)[/tex]  

[tex]t=log(1.38462)/2log(1.03125)=5.3\ years[/tex]  

Answer: 14.4

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Take the root of both sides and solve

Answer: x=1, x=-1

7x^2+6-6=13-6

7x^2/7=7/7

x^2=1

x=square root(-1)                  square root(1)

negative goes outside

the square root

         x=-1                          x=1

Answer:

C

Step-by-step explanation:

When cross multiplied all numbers must be multiples of each others.

Answer:

Step-by-step explanation:

C would be your answer !

(Iv'e done this before.)

3×6

(2×3)×3

108÷6

(6×7) - (2×12)

Answer:

9-0+1-1×2

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.

2 and 200

10 and 100

13 and 52

one thousand and one million

Answer:

Bone marrow

Step-by-step explanation:

Bone marrow is the semi-solid tissue that is found in the center of your bones. Bone marrow is the primary site of new blood cell production in all birds and mammals. Problems with your bone marrow may lead to blood disorder such as anemia, leukemia, lymphoma, and myeloma.

I hope this helped!

Answer:

bone marrow

Step-by-step explanation:

Answer: (-4,0) (1,0) (4,0) (0,2)

The x intercepts are: (-4,0) (1,0) (4,0) and the y intercept is (0,2)

Step-by-step explanation:

The plotted points are intercepts of the graph. It is quite easy to tell what is what by looking at the graph intervals and knowing what is x and y.

Answer:

[tex]\large{60^o\to\dfrac{19\pi}{3}\\\\288^o\to\dfrac{18\pi}{5}\\\\315^o\to\dfrac{23\pi}{4}\\\\80^o\to\dfrac{22\pi}{9}}[/tex]

Step-by-step explanation:

[tex]\text{The formula of conversion of degrees to radians:}\ \dfrac{\theta \pi}{180}\\\\360^o=2\pi\\\\60^o=\dfrac{60\pi}{180}=\dfrac{\pi}{3}\qquad\dfrac{19\pi}{3}=6\pi+\dfrac{\pi}{3}=\dfrac{\pi}{3}\\\\288^o=\dfrac{288\pi}{180}=\dfrac{8\pi}{5}\qquad\dfrac{18\pi}{5}=2\pi+\dfrac{8\pi}{5}=\dfrac{8\pi}{5}\\\\315^o=\dfrac{315\pi}{180}=\dfrac{7\pi}{4}\qquad\dfrac{23\pi}{4}=4\pi+\dfrac{7\pi}{4}=\dfrac{7\pi}{4}\\\\80^o=\dfrac{80\pi}{180}=\dfrac{4\pi}{9}\qquad\dfrac{22\pi}{9}=2\pi+\dfrac{4\pi}{9}=\dfrac{4\pi}{9}[/tex]

Answer:

Step-by-step explanation:

To take a radian measure that is over 2π (360°), to an equivalent measure that is less than 2π, subtract intervals of 2π until the value is where you want it.

(23π)/4 - 2π =  (23π)/4 - (8π)/4 = 15π/4

This is still more than 2π, so subtract another 2π...

(15π)/4 - 2π = (15π)/4 - (8π/4) = (7π)/4

This is less than 2π, so stop here...

following similar steps on the other 3 given radian measures give you...

(18π)/5 = (8π)/5

(22π)/9 = (4π)/9

(19π)/3 = π/3

To convert from degrees to radians, multiply the degree measure by π/180°

We have

60°(π/180°) = (60°π)/180° = π/3

288°(π/180°) = (288°π)/180° = (8π)/5

315°(π/180°) = (315°π)/180° = (7π)/4

80°(π/180°) = (80°π)/180° = (4π)/9

➷ I would say the best answer is option C. 40%. This value is an approximate but it can vary from person to person based on many factors such as age.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Muscles make up more than 25%  of a person's body mass.  So, the best answer among the choices provided is B. 25%.

Muscles are a crucial component of the human body and are responsible for various functions, including movement, stability, and heat production. While the exact percentage of muscle mass can vary from person to person depending on factors such as age, gender, and fitness level, an average adult's body is composed of roughly 40-50% muscle mass. However, since the options provided do not include this range, the closest approximation is 25%.

It's important to note that maintaining and building muscle mass is essential for overall health, as muscles play a vital role in metabolism, strength, and mobility. So ,Muscles make up more than B. 25% of a person's body mass.

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Answer:

65

Step-by-step explanation:

29+24+12=65

The answer is 65

Hope this helps : )

They are all divisible by 25.

Answer:

[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 24in, then the radius r = (24in) : 2 = 12in.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(12)^2=144\pi\ in^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]

Final answer:

The area of a bicycle wheel with a diameter of 24 inches can be calculated using the formula A = πr² and is approximately 452.16 square inches.

Explanation:

To calculate the area of a bicycle wheel with a diameter of 24 inches, we first need to find the radius of the wheel. The radius is half of the diameter, so in this case, the radius is 12 inches. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. Substituting the known radius into the formula, we find:

A = π * (12 inches)² = π * 144 inches² ≈ 3.14 * 144 inches² = 452.16 square inches

Therefore, the area of the bicycle wheel is approximately 452.16 square inches.

Answer:

1.2 ounces x (48 units)

=  57.6 ounces

Step-by-step explanation:

i'm not usually good at these questions but you can get a calculator that does weight multiplied by units.

so with your question it would be :

Answer: 57.6 ounces

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call x the  weight in ounces of 48 packages.

2. You know that 1 package of corn chips weigh 1.2 ounces.

3. Therefore, to calculate  the weight in ounces of 48 packages, you must multiply 1.2 ounces by 48.

4. Then, you obtain that the result is:

[tex]x=(1.2ounces)(48)\\x=57.6ounces[/tex]

ANSWER

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

[tex] log_{4}(x) = 3[/tex]

We take antilogarithm of both sides to base 4.

[tex] {4}^{log_{4}(x)} = {4}^{3} [/tex]

This implies that,

[tex]x = {4}^{3} [/tex]

Answer:

B. 4³=x

Step-by-step explanation:

The log of  a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.

So the base of the log is the base of the index while the index is the log.

Answer:

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Step-by-step explanation:

If the ellipse has a vertical major axis of length 16, then

[tex]2a=16[/tex]

[tex]\Rightarrow a=8[/tex]

If the ellipse has the length of the minor axis to be 10, then;

[tex]2b=10[/tex]

[tex]\Rightarrow b=5[/tex]

The equation of the ellipse is given by;

[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2}=1[/tex]

Thus;

[tex]\frac{x^2}{5^2}+\frac{y^2}{8^2}=1[/tex]

[tex]\frac{x^2}{25}+\frac{y^2}{64}=1[/tex]

Answer: A

Step-by-step explanation:

Final answer:

To construct a parallel line through a point not on the given line, it is essential to know how to construct corresponding angles, which are equal for parallel lines created by a transversal.

Explanation:

To construct a line parallel to a given line m through a point not on line m, you need to know how to construct corresponding angles which are equal when lines are parallel. This process typically involves using a compass and straightedge to replicate the angle between the given line and a transversal at the point not on line m.

First, you would create a transversal through the point not on line m. Then you would measure the angle that the transversal makes with line m. Using the compass, you would reproduce this angle on the transversal at the point not on line m, ensuring that the angles corresponding to each other across the two lines are equal. This ensures that the new line you're constructing is indeed parallel to line m.

Answer:

Negatively charged atom

Step-by-step explanation:

When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.

Answer:

-2

Step-by-step explanatioN

When an atom gains 1 or more electrons, it becomes negatively charged. I fit loses an 1 or more electrons, it becomes positively charged.

Answer: The correct answers are $45.15, $247.25 and $129

Step-by-step explanation:

In order to solve the problems you need to multiply each percentage by his gross monthly pay.

$2,150 x .021 = $45.15

$2,150 x .115 = $247.25

$2,150 x .06 = $129

Answer: 49

Step-by-step explanation:

HI :)

A confusing question but here's how I got my answer

1/7 is 21 divided by 3, which is 7

So now that we know what one seventh is we can multiply 7 by 7 and we get 49

Hope this helped :)

DOMAIN: -\infty \:<x<\infty    

RANGE: f(x) < or equal to 8

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

1/3  / 1/9 =

1/3 x 9 =

3

Answer:

0.3333

Step-by-step explanation:

1/9 ÷ 1/3 = 0.3333 in decimal form.

Answer:

centre = (- 5, 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 7)² = 36 ← is in standard form

with h = - 5 and k = 7

centre = (- 5, 7)

Answer:

A.) The red cylinder.

Step-by-step explanation:

For a cylinder:

V = (1/3)(pi)r^2h

Red:

V = (1/3)(pi)(2^2)(4) = 16pi/3

Blue:

V = (1/3)(pi)(1^1)(8) = 8pi/3

Since 16pi/3 is greater than 8pi/3, the red cylinder has a greater volume.

Answer:

$4.99

Step-by-step explanation:

If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99

The cost in dollars and cents for each pair of socks is $4.99

The first step is to determine the total cost of the three pairs of socks

Total cost of the socks bought = amount paid - change received

$20 - $5.03 = $14.97

The second step is to determine the cost of each pair of socks

Cost of each pair of socks = total cost of socks / pairs bought

$14.97 / 3 = $4.99

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