The government has allocated its budget as follows:
defense 40%
education 10%
social security 30%
public investment 13%

If the budget is $150 billion, how much is left for other programs and
activities?

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

The represented 'box' size in space, which is 2 feet (24 inches) on a side, is approximately 6.47 ×\(10^(^-^1^7^)\) parsecs.

To calculate the amount of space represented by a box that is 2 feet (24 inches) on a side, we need to convert the length in feet to parsecs. A parsec is a unit of length used in astronomy to measure vast distances.

First, we need to determine the scale factor that relates feet to parsecs. The conversion factor is based on the definition that 1 parsec is approximately equal to 3.09 × \(10^1^6\) feet.

To find the represented 'box' size in space in parsecs, we can use the following calculation:

Represented 'box' size (in parsecs) = Box size (in feet) / Conversion factor

Box size (in feet) = 2 feet

Conversion factor = 3.09 ×\(10^1^6\)feet/parsec

Substituting the values into the equation, we have:

Represented 'box' size (in parsecs) = 2 feet / (3.09 × \(10^1^6\)feet/parsec)

Simplifying the expression:

Represented 'box' size (in parsecs) = 2 / (3.09 × \(10^1^6\)) parsecs

Calculating the result:

Represented 'box' size (in parsecs) ≈ 6.47 ×\(10^(^-^1^7^)\) parsecs

In other words, the box's spatial representation corresponds to approximately 6.47 × \(10^(^-^1^7^)\)parsecs.

It is important to note that this calculation assumes a linear scale and does not account for the complexities of space and the actual distribution of objects. The approximation provides a rough estimate of the spatial representation of the given box size in parsecs.

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Answer:

Step-by-step explanation:

The given equation is not instandard form. First standard form is neccesary.

The result is 3x + 108 = 12y which is equal to 12y = 3x + 108

The slope is represented in this form as m (Y = mx + b)

(with b as the initial value)

Therefore, 3 is the slope.

To find its perpendicular slope.

To find it's perpendicular, know that it is the negative reciprocal.

FInally, the slope perpendicular to the line whose equation is 3x - 12y = -108 is \(\frac{1}{-3\\}\)

For provide normal distribution such that

x ~ n(15, 3), 68.27% of the data lie between the values of x as x= 12 to x= 18 .The range of x-values is centered around the mean of the distribution (that is, 15).

Normal Probability:

This problem uses the Z-score formula to calculate the range such that 68.27% of the data falls within the range. Z-scores are normal scores, plotted on a normal curve with mean 0 and variance 1. The Excel function NORM.S.INV() is used to get the score value.

We have given that

Mean, μ = 15

Standard deviation, σ = 3

P( a <X<b) = 0.6827

P( (a − μ)/(σ < X − μ )/σ <(b− μ)σ) = 0.6827

P ( a- 15) /3 < Z < (b- 15)/3) = 0.6827

P( Z< (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

1 - P( Z > (b-15)/3) - P( Z< ( a - 15)/3) = 0.6827

(Symmetrical Property)

We know that,

P( Z> (b-15)/3) = P( Z< ( a - 15)/3) ( symmetric)

2 × P( Z< ( a - 15)/3) = 0.3173

P( Z< ( a - 15)/3) = 0.15865

Now,

Excel function for the value of z score:

=NORM.S.INV(0.15865)

(a − 15)/3 = -1.00

=> a-15 = -3

=> a = 12 and b = 15 + 3 = 18

Hence, the values of x are 12 and 18 where 68.27% data lie.

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The average change in the volume of water per day is obtained as 0.625  litres.

The rate change of volume is the change of volume with respect to time.

For instantaneous change the derivative of the expression of volume can be taken.

The average change in the volume of water can be obtained as follows,

Average change = Volume of water ÷ Number of days

                            = 2.5 ÷ 4 = 0.625

Hence, the average change in water volume is given as  0.625 liters per day.

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Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

Answer: Its t=

32

−

23673−64h

​

+139

​

Step-by-step explanation:

The 4 properties of the rhombus are:

A quadrilateral in Euclidean geometry is a rhombus. It's a parallelogram with all sides equal and diagonals intersecting at 90 degrees. In addition, opposing sides are parallel, and opposing angles are equal. This is a fundamental property of the rhombus. A rhombus is shaped like a diamond. As a result, it's also known as a diamond.

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Answer:

False.

Step-by-step explanation:

Counterclockwise is different from Clockwise.

Answer:

False

Step-by-step explanation:

They are rotating a different direction

The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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For the function y = 4x^2, it is possible to find the maximum or minimum. the value of y at the maxima/minima of the function y = -3x^2 + 6x is 3.

The function represents a quadratic equation with a positive coefficient (4) in front of the x^2 term. This indicates that the parabola opens upward, which means it has a minimum point.

For the function y = 3x, it is not possible to find the maximum or minimum because it represents a linear equation. Linear equations do not have maxima or minima since they have a constant slope and continue indefinitely.

For the function y = -3x^2 + 6x, we can find the maxima or minima by finding the vertex of the parabola. The vertex can be found using the formula x = -b/(2a), where a and b are coefficients of the quadratic equation.

In this case, the coefficient of x^2 is -3, and the coefficient of x is 6. Plugging these values into the formula, we have:

x = -6 / (2 * -3) = 1

To find the value of y at the vertex, we substitute x = 1 into the equation:

y = -3(1)^2 + 6(1) = -3 + 6 = 3

Therefore, the value of y at the maxima/minima of the function y = -3x^2 + 6x is 3.

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The Hutchins Commission, a learned group in the 1940s, recommended that journalists and media professionals prioritize responsible decision-making that serves society.

The Hutchins Commission, formally known as the Commission on Freedom of the Press, was a group of scholars and professionals established in the 1940s to examine and make recommendations regarding the role of the media in democratic societies.

Chaired by Robert M. Hutchins, the commission aimed to address concerns about the media's influence and responsibility.

The commission's key recommendation was that journalists and other media personnel should prioritize their decisions based on the responsible service to society.

They advocated for a media system that serves the public interest, encourages diversity of viewpoints, and promotes the democratic ideals of informed citizenry.

The commission recognized the significant impact of the media on shaping public opinion and believed that media professionals had a responsibility to use their power ethically and responsibly.

The Hutchins Commission's recommendations emphasized the importance of maintaining an informed and engaged citizenry by providing accurate, unbiased, and diverse information.

They called for media professionals to adhere to high ethical standards, ensure the fair representation of diverse perspectives, and avoid practices that could manipulate or exploit public opinion.

The commission's work contributed to ongoing discussions about media responsibility, freedom of the press, and the role of journalism in democratic societies.

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Answer: $1.73

Step-by-step explanation:

Jill has $5.15 and Mark has $3.42. Subtract. Voilà.

Answer:

V = 603.19 unit^3

or

V = 192π unit^3

Step-by-step explanation:

V = πr^2 *h

V = π(8)^2 *3

V = 603.19 unit^3

or

V = 192π unit^3

Answer:

603.186^3

Step-by-step explanation:

v =  πR2 · h

π8^2 x 3

= 603.186^3

Answer:

f(3)= -1

Step-by-step explanation:

1. f(3)= 3x - 10

f(3) means that where x is in the equation you put a 3

2. f(3)= 3(3) - 10

3. f(3)= 9 - 10

4. f(3)= -1

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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2944 distinct 5-letter strings can be created using the letters a, b, c, d, and e if repetition is allowed but the letter a appears at most twice

Given that

form 5-letter distinct strings can be created using the letters a,b,c,d, and e, and repetitions are allowed but the letter a appears at most twice

let's consider that letter a is not there in the string

each letter is repetitive then it is \(4^{5}\)

now letter a is considered once

5c1 ×\(4^{4}\)

now letter a is repetitive twice

5c2 × \(4^{3}\)

\(4^{5}\) + 5c1 × \(4^{4}\) + 5c2 × \(4^{3}\)

1024+ 1280 + 640 = 2944

2944 distinct 5-letter strings can be created using the letters a, b, c, d, and e if repetition is allowed but the letter a appears at most twice

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Taner will only need to run 3 km this week to complete his 6 km running goal.

If we require a definition, we may start by saying that fractional numbers are numbers that symbolize one or possibly more portions of a unit that has been subdivided into equal parts.

Given that, Taner's overall running goal is 6 km (including last week and this week)

So,

Taner's 2-week goal is 6 kilometres.

Now,

Taner's goal for the week is 3 kilometres = (6/2).

As the Taner completed 3 km of running last week. Taner can achieve his objective this week by running just 3 miles.

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Step-by-step explanation:

the max. value is when the smaller set (A) is completely contained in the larger set (B).

then n(A n B) is n(A) = 50.

the set intersection between A and B cannot get bigger than that. or A gets bigger ...

after all, the intersection means it is a set of all elements that exist in BOTH sets.

but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.

the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.

in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.

Answer: 5

Step-by-step explanation:

Answer:

5, $ 20 bills

Step-by-step explanation:

27.90× 3 = around 85

$85÷ $20=4.25

So 5, 20 dollar bills because it is more that 4

Answer:

y−12

over 4

Step-by-step explanation:

The number of solutions to the equation are two and complex in nature.

We have the following quadratic equation -

\(y =3x^{2} -4x + 6\)

We have to determine its solutions.

The maximum number of solutions possible are 2.

According to question, we have -

\(y =3x^{2} -4x + 6\)

Using the quadratic formula -

\($x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

\($x=\frac{4+\sqrt{15-72}}{26}\\\\\)

\(x =\frac{4 \;\pm\; i57}{26}\)

The expression \(b^{2} - 4ac\) is called the discriminate. Calculating it, we get -

D = 15 - 72 = -57 which is negative.

We know -

If D < 0, then the equation has two complex roots and we have found them above.

Hence, the number of solutions to the equation are two and complex in nature.

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Answer:

-7

Step-by-step explanation:

30-16= -5n +3n

14 = -2n

multiplying both by half,u have -

7 = -n

multiply both by -1

7 = n

Answer:60%

Step-by-step explanation:

90/150= 9/15 ÷ by 3 = 3/5=60%

Answer:

orge has not read 60% of the book.

Step-by-step explanation:

Percentage not read = (Pages not read / Total pages) * 100

Percentage not read = (90 / 150) * 100

Percentage not read = 0.6 * 100

Percentage not read = 60

Therefore, Jorge has not read 60% of the book.

Answer:

s=  -5

Step-by-step explanation:

have a good day

Answer:

Step-by-step explanation:

subtract 28 on both sides that will cancel the 28

-35 = 7s, divide both sides by 7, this cancels the 7

- 5 = s

s=-5

Answer:

there are no real solutions

Step-by-step explanation:

\(\log_5(x-1)+\log_5(x+3)-1=0\\\\\log_5(x-1)+\log_5(x+3)=1\)

there is a rule that says

\(\log_b(a)+\log_b(c)=\log_b(ac)\)

so we have

\(\log_5(x-1)+\log_5(x+3)=\log_5((x-1)(x+3))=1\)

and we have the definition

\(\log_a(b)=c\\\\a^{c} =b\)

so we have

\(5^{1} = (x-1)(x+3)\\\\5=x^{2} -1x+3x-3\\\\5=x^{2} +2x-3\\\\0=x^{2} +2x-3-5\\\\0=x^{2} +2x-8\\\\\)

and using the quadratic formula we get that

there are no real solutions

The value of log5(x - 1) + log5(x + 3) - 1 = 0 is x = 1 and x = -3.

The logarithm is exponentiation's opposite function in mathematics.

This indicates that the exponent to which b must be raised in order to obtain a number x is the logarithm of x to the base b. For instance, because 100 = 10², the logarithm of 100 in base 10 is 2, or log10 = 2.

Given, log5(x - 1) + log5(x + 3) - 1 = 0.

As log + log b = log(ab).

∴ log5(x - 1) + log5(x + 3) - 1 = 0.

log5{(x - 1)(x + 3)} = 1.

(x - 1))x + 3) = 0.  (as any value to the power zero is 1)

x - 1 = 0 Or x + 3 = 0.

x = 1 Or x = - 3.

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The ordered pairs are {(0, 2), (2, 6), (4, 10)}, option A is correct.

A set of ordered pairs (x, y) that have x in set A and y in set B make up a function f from set A to set B.

An ordered pair in f is (x, y).

where there is precisely one y ∈ B, for every x ∈ A.

Given that an arrow goes from 0 to 2, 2 to 6, and 4 to 10,

to write the ordered pairs,

the relation of the arrow is 0 to 2, 2 to 6, and 4 to 10

the pairs are (0, 2)

(2, 6)

(4, 10)

pairs are  {(0, 2), (2, 6), (4, 10)}

Hence option A is correct.

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Answer:

Yes, it does. We can check by using the Pythagorean theorem (P.t.).

P.t.: a^2 + b^2 = c^2

a = 6, b = 8, c = 10

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

Brainliest, please!

Answer:

Step by step answer.

Yes

a^2 + b^2 = c^2

8^2 + 6^2 = 10^2

64 + 36 = 100

100 = 100

The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this

6^2 + 10^2 = 8^2

Of course this would not work, but it would also disobey the convention that c is the longest side.

Answer:  The correct answer is x = 19 / 5

Step-by-step explanation:

Solve the equation

5x + 3 = 22

Subtract 3 from both sides

5x + 3 − 3 = 22 − 3

5x = 19

Divide both sides by 5

5x/5 = 19/5

x = 19 / 5

Answer:

False

Step-by-step explanation:

hope this helps!