Given the function f(x) = 0. 5|x – 4| – 3, for what values of x is f(x) = 7? x = –24, x = 16 x = –16, x = 24 x = –1, x = 9 x = 1, x = –9.

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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The equation in spherical coordinates is r(φ, θ) = 8 units.

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

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#SPJ4

Answer:

Step-by-step explanation:

All you have to do for this problem is take 3, over the 20, and then turn into a percent. Your final answer is D. 15%, because if you multiply 3/20 by 5, you get 15/100, which is easier to turn into a percent, leaving you with 15%

Answer:

b. 8

Step-by-step explanation:

the point asked has coordinates (100;8) (weight;calories)

Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is:

y = |x|

The translations are as follows:

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:

26 units

Step-by-step explanation:

Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given

Substitute the given values into the formula and solve for c:

[tex]\sf \implies 10^2+24^2=c^2[/tex]

[tex]\sf \implies c^2=676[/tex]

[tex]\sf \implies c=\pm\sqrt{676}[/tex]

[tex]\sf \implies c=\pm26[/tex]

Since length is positive, c = 26 only

Answer:

26 units

Step-by-step explanation:

To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.

Formula: h² = x² + y²                                       [h = hypotenuse, x and y = legs]

Legs: 10 units and 24 units                                              (Stated in comments)

Finding the third side of the triangle (h):

⇒ h² = 10² + 24²

Simplify the LHS:

⇒ h² = 100 + 576

⇒ h² = 676

Take a square root both sides:

⇒ √h² = √676

⇒ h = ±26

⇒ h = 26                                                 (Side lengths can never be negative)

Thus, the length of the third side is 26 units.

Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.

Step-by-step explanation:

Answer:

96π ft³ or 301.44 ft³

Step-by-step explanation:

Volume = Base Area x Height

V = (πr²)(h)

V = (π)(2²)(24)

V= 96π ft³

The correct answer which refers to the z-statistic for this data is b)0.90.

The hypothesis Test refers to the statistical approach where the test is applied to an assumption regarding a population parameter.

It is given that µ = 115 and Sigma = 30.

sample size is 25 with a mean of 120.4

The formular for z-statistic is

z = (x – u) / (σ / sqrt n)

Therefore, we input the values and we get

z = (120.4 – 115) / (30 / sqrt 25)

We calculate further and we get

z = 0.90

Therefore, the correct answer is option b.

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Answer:

the scale factor is 6

scale factor:

length of image ÷ length of original

Here:

Considering the given system of equations, it is found that:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

[tex]\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right][/tex]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

[tex]|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

C. (-8 -6 3 -1)

Step-by-step explanation:

EDG

sum of triangle angles = 180

so

? = 180 - 36 - 92 = 52°   => D

The volume is [tex]135cm^3[/tex]

Answer:

x = 115°

Explanation:

Answer:

x=115°

Step-by-step explanation:

whole thing is supposed to = 360° so

164+81+x=360

245+x=360

x=115

Answer:

2πr × h = 2πrh

Step-by-step explanation:

that is the formula for a curved surface of a cylinder 2πr × h = 2πrh.

Answer:

7 feet

Step-by-step explanation:

60 inches is 5 feet add the 2 feet

Answer:

0.950 L

Step-by-step explanation:

ml/1000 = L

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

Answer:

45°

Step-by-step explanation:

A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.

Hope this helps!

Answer:

45

Step-by-step explanation:

♤interior angles of a triangle add up to 180♤

let angle V= x

48+87+ x= 180

135+x=180

x=180-135

=45

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]

In the 10 years, the refund she gets,

[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]

Interest paid by her is,

[tex]I=7594.8-5500\\I=2094.8[/tex]

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

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Answer: D

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

15×12=180

180÷24(crayons per box)=7.5 boxes

Answer:

Step-by-step explanation:

First find the shaded area. Ignore the fact that something is missing.

L = 16

w = 8

Area = L*w           Substitute the givens

Area = 16*8

Area = 128

Now consider the white area. It has a "length" of 4 and a width of 8

L = 4

w = 8

Area = 32

Now subtract 32 from 128

Area of shaded part = 128 - 32

Answer: 96 mm^2

Answer:

you first divide fifty out of one hundred then we multiply it by thirty

Answer:

The answer should be 9.2

Step-by-step explanation:

Im lowkey kinda lost in this one ngl

Answer:

D. [tex]13(2.81)^n[/tex]

Step-by-step explanation:

[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]

Hope this helps!

Answer:

379.94

Step-by-step explanation:

area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94

The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]

Now lets plug in all the known values in the equation:

    [tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]

Thus it wants the answer rounded to the nearest whole number, so

   Answer: 380 square centimeters

Hope that helps!

Answer:

  102.8 cm

Step-by-step explanation:

The perimeter of a semicircle is the sum of the length of the diameter and the length of the curved edge. The curved edge is half the circumference of a circle with the same radius.

  perimeter = diameter + curved edge

  = 2r +1/2(2πr) = r(2 +π)

  = (20 cm)(2 +π) ≈ 102.8 cm

The perimeter of the window is about 102.8 cm.

$18.51

Step-by-step explanation:

assuming you dont need the cost per pencil or anything...

pro set: $27.49

basic set: $8.98

subtract basic from pro.

27.49-8.98= $18.51

Answer:

I know this is a little late but your answer is 18.51

The amount of money Camden would have in his account after 12 years is equal to $2,374.3.

To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.

Mathematically, compound interest is given by this formula:

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

Where:

Given the following data:

Principal = $1400.

Interest rate = 4.5% = 0.045.

Time = 12 year.

Substituting the given parameters into the formula, we have;

[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]

A = $2,374.3.

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Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.