Johanna budgets $1,351 each month for fixed expenses. What percent of her netmonthly income is that if she nets $3,116 semimonthly? Make answer a percent thenround to a whole percentage. Do not put the % sign in blank as it already knows it isin percentage form.

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Answer:

RA

Step-by-step explanation:

The formula of the nth term of the sequence is f(n) = 8 *0.7r^(n - 1)

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

a=_1=8, r=0.7

Express properly

So, we have

First term, a = 8

Common ratio, r = 0.7

The above definition is of a geometric sequence that has a first term of 8 and a common ratio of 0.7

Using the above as a guide, we have the following:

f(n) = a * r^(n - 1)

substitute the known values in the above equation, so, we have the following representation

f(n) = 8 *0.7r^(n - 1)

Hence, the nth term of the sequence is f(n) = 8 *0.7r^(n - 1)

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Answer: \(300\) \(times\)

Step-by-step explanation:

Answer:

whats the question??

Step-by-step explanation:

The answer choice which correctly draws a comparison between the end behaviors of the functions is; Choice C; They have the same end behavior as x approaches -∞ and same end behavior as x approaches ∞.

As given in the task content; the graph of the exponential function passes through (-4, 9), (0, 1), (1, 0), and (5, -2).

It therefore follows that as; x reduces (approaches -∞), the y value increases.

And, as x -increases (approaches +∞), the y-value decreases.

For the table, the values can be written as coordinates as follows; (-1,2), (0,4), (1,6), (2, 0), (3,-2).

Consequently, as x reduces (approaches -∞), the y- values decrease.

And, as x increases (approaches +∞), the y-values decrease.

Ultimately, the two functions in discuss can be concluded to have; Choice C.

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Step-by-step explanation:

s1 = 5

s2 = s1 × -2 = 5×-2 = -10

s3 = s2 × -2 = -10 × -2 = 20

...

now, we could do all that manually.

but there is also a formula for geometric sequence.

in fact, there are 2 - one for finite and one for infinite sequences.

and I was not completely honest, each of these 2 had some sub-forms depending on the size of the multiplier or ratio.

since we need the sum of the first 5 terms, which of the 2 do you think we need ?

of course, finite, because 5 is a normal number we can "touch". it is not infinity.

so, the formulas for finite sums of geometric sequences are :

if |r| < 1, Sn = a(1 - r^n)/(1 - r)

if |r| > 1, Sn = a(r^n - 1)/(r - 1)

if r = 1, Sn = na

if r = -1, then Sn = a or 0 depending on if n is odd or even.

the sequence is in general

s1 = a

sn = sn-1 × r

in our case a = 5, r = -2.

so, what form of the formula do we need ?

|-2| = 2, and 2 > 1, so ...

S5 = 5(-2^5 ‐ 1)/(-2 - 1) = 5(-32 - 1)/-3 = 5×-33/-3 =

= 5 × 11 = 55

quick check, as the 5 terms are

5

-10

20

-40

80

and their sum is : 55

correct !

The simplified expression of \(\sqrt[4]{567(x^9)(y^{11})}\) is \(3x^2y^2\sqrt[4]{7xy^3}\).

Given expression:

\(\sqrt[4]{567(x^9)(y^{11})}\).

We can simplify the expression using the property that says for any non-negative numbers a and b, and any integer n ≠ 0,

\((a\times b)^{n} = a^n \times {b^n}\)

Using this property, we can simplify the expression as follows:

\((567x^9y^{11})^{1/4} = (567)^{1/4} \times (x^9)^{1/4} \times (y^{11})^{1/4}\)

Now we need to simplify,

\((81\times 7)^{1/4}x^{9/4}y^{11/4}\\=(81)^{1/4}(7)^{1/4}(x^{\frac{8}{4}+\frac{1}{4})(y^{\frac{8}{4}+\frac{3}{4})\)

Also,

\({3^4}^{1/4}(7)^{1/4}(x^{2+\frac{1}{4}})(y^{2+\frac{3}{4}})\\=3^1 7^{1/4}x^2x^{1/4}y^2y^{1/4}\\=3x^2y^2(7^{1/4}x^{1/4}y^{3/4})\\=3x^2y^2(7xy^3)^{1/4}\\=3x^2y^2\sqrt[4]{7xy^3}\)

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The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.

The horizontal and vertical component of the airspeed is calculated as follows;

Vx = 300 cos(30) = 259.8 km/h

Vy = 300 x sin(30) = 150 km/h

The horizontal and vertical component of the wind velocity is calculated as follows;

Vx = 50 cos(60) = 25 km/h

Vy = 50 sin(60) = 43.3 km/h

To find the resultant velocity, we can add the x and y components separately:

Vx = 259.8 km/h  +  25 km/h = 284.8 km/h

Vy = 150 km/h  +  43.3 km/h  = 193.3 km/h

The magnitude of the resultant velocity is calculated as;

V = √(284.8² + 193.3²)

V = 344.2 km/h

The direction of the resultant velocity is calculated as;

θ = arc tan (193.3/284.8)

θ = 34.2⁰

The resultant direction to true north is calculated as;

track = 34.2 + 60 = 94.2°

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Answer:

See answer below.

Step-by-step explanation:

The ordered pairs on the graph: (-6, -1), (-1, 3), (2, 0), (4, -2), and (5, 3).

The domain is the values of x-term in the ordered pair not repeating a number.

The range is the values of y-term in the ordered pair not repeating a number.

Domain is  {-6, -1, 2, 4, 5}

Range is {-1, 3, 0, -2}      Note: Only use 3 one time in the set because it was repeated.

Answer:

-5

Step-by-step explanation:

Slope- intercept form:

y= mx +c, where m is the slope and c is the y-intercept

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of the x term. Here the coefficient is -5, thus the slope of the given line is also -5.

Parallel lines have the same slope. Thus, the slope of the line that is parallel to y= -5x +7 will have a slope of -5.

Hello there! (:

Parallel lines have the same slope.

We are given that one line has a slope of -5, therefore, the line parallel to the given line has a slope of -5 as well.

Hope it helps you. Let me know if you have any questions or need further explanation. (:

~A smiley teen who adores helping others

\(MagicalNature\)

Answer:

your answer is 21

Step-by-step explanation:

ffffffffffffff

\(\huge\text{Hey there!}\)

\(\mathsf{30\% \ of\ 70}\\\\\mathsf{=30\% \times 70}\\\\\mathsf{= \dfrac{30}{100}\times 70}\\\\\mathsf{= \dfrac{30}{100}\times \dfrac{70}{1}}\\\\\mathsf{= \dfrac{30\div10}{100\div 10}\times\dfrac{70}{1}}\\\\\mathsf{= \dfrac{3}{10}\times\dfrac{70}{1}}\\\\\mathsf{=\dfrac{3\times70}{10\times1}}\\\\\mathsf{= \dfrac{210}{10}}\\\\\mathsf{= \dfrac{210\div 10}{10\div10}}\\\\\mathsf{= \dfrac{21}{1}}\\\\\mathsf{= 21\div 1}\\\\\mathsf{= 21}\)

\(\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ D. \ 21}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

Time taken to write 1/4 book=2/5hrs

Therefore,

Time taken to write 1 book=8/5hrs

Therefore,

Part of book written in 1 hr=5/8book

Option C:5/8

Answer:

x3 + 3x2 + 3x +1

Step-by-step explanation:

simplify x3 + 3x2 . 1 + 3x . 12 + 13: x3 + 3x2 + 3x + 1

Using binomial expansion, \((x+1)^{3} = x^{3}+3x^{2} +3x+1\)

Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms.

\((a+b)^{n}= \sum {n}_C_{r} a^{n-r} b^{r}\)

\((x+1)^{3} = x^{3}+3x^{2} +3x+1\)

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The resulting equation after multiplying the first equation by 2 and subtracting the second equation is:

-5y = -375

1. Given equations:

  - x + 3y = 350    (Equation 1)

  - 2x + 4y = 625   (Equation 2)

2. Multiply Equation 1 by 2:

  - 2(x + 3y) = 2(350)

  - 2x + 6y = 700    (Equation 3)

3. Subtract Equation 2 from Equation 3:

  - (2x + 6y) - (2x + 4y) = 700 - 625

  - 2x - 2x + 6y - 4y = 75

  - 2y = 75

4. Simplify Equation 4:

  -2y = 75

5. To isolate the variable y, divide both sides of Equation 5 by -2:

  y = 75 / -2

  y = -37.5

6. Therefore, the resulting equation is:

  -5y = -375

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9514 1404 393

Answer:

  60 m

Step-by-step explanation:

The difference in height is the short leg of a right triangle with long leg 35 m and hypotenuse 37 m.

  (∆h)² + 35² = 37² . . . . . . . . . . the Pythagorean theorem

  (∆h)² = 1369 -1225 = 144

  ∆h = √144 = 12 . . . meters

The taller building is 48 m + 12 m = 60 m high.

the final result of the double integral is `(4/3)*a. we have to Integrate the inner integral with respect to z.

what is inner integral ?

An inner integral is a mathematical term that refers to the integral function that is evaluated first in a double integral.

In the given question,

To solve this double integral, we will use the following steps:

Integrate the inner integral with respect to z.

Evaluate the result of the inner integral at  upper and lower limits of z.

Substitute the result of the inner integral into the outer integral and integrate with respect to y.

Evaluate the result of the outer integral at the upper and lower limits of y.

Simplify the expression.

Now, let's apply these steps to solve the given double integral:

Integrate the inner integral with respect to z:

∫(x²*z + y²*z + z³) dz = x²/2*z² + y²/2*z² + z^4/4 + C

where C is the constant of integration.

Evaluate the result of the inner integral at the upper and lower limits of z:

(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)

Substitute the result of the inner integral into the outer integral and integrate with respect to y:

markdown

∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)

- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

Evaluate the result of the outer integral at the upper and lower limits of y:

= ∫[(x²/2*(a²-x²-y²)¹⁵ + y²/2*(a²-x²-y²)¹⁵ + (a²-x²-y²)²/4)- (x²/2*(-a²+x²+y²)¹⁵ + y²/2*(-a²+x²+y²)¹⁵ + (-a²+x²+y²)²/4)] dy

from y = -sqrt(a²-x²) to y = sqrt(a²-x²)

= (2/3)*x²*(a²-x²)¹⁵ + (2/3)*(a²-x²)²⁵

- (2/3)*x²*(-a²+x²)¹⁵ + (2/3)*(-a²+x²)²⁵

Simplify the expression:

= (4/3)*a³ - (4/3)*a*x²

Therefore, the final result of the double integral is `(4/3)*a

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Answer:

I would say 70%

Step-by-step explanation:

He got 7 of of 10 (7/10 = 70%) right so I  would say he would do just as well without ESP since it doesn't exist.

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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The value of x is 20.

Given that a rectangle PQRS has diagonals PR = 4x - 15, and QS = 3x + 5, we need to find the value of x,
Since, we know that the diagonals of a rectangle are equal,

So,

PR = QS

4x-15 = 3x+5

x = 20

Hence the value of x is 20.

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NSQ can be turned into SQ through hypothesis testing and statistical analysis to determine significant relationships and patterns in the data.

To turn a non-statistical question (NSQ) into a statistical question (SQ), we need to rephrase it in a way that allows for statistical analysis. A statistical question is one that can be answered by collecting and analyzing data. Here is an example of how to turn an NSQ into an SQ:

This is a non-statistical question because it cannot be answered by collecting and analyzing data. It is purely a matter of personal preference and cannot be measured quantitatively. However, we can turn it into a statistical question by rephrasing it as:

To answer this question, we would need to collect data from a sample of the population and analyze it statistically. For example, we could conduct a survey of 1000 people and ask them which beverage they prefer. We would then calculate the percentage of respondents who prefer tea over coffee and use statistical methods to estimate the margin of error and confidence interval.

By turning the non-statistical question into a statistical question, we have made it possible to collect and analyze data to answer it. This approach is useful in many fields, including market research, social sciences, and healthcare, where data-driven decisions are increasingly important.

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Answer:

The answer is 44.675 but we round it up which means your answer is $44.68

The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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