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The Judicial Power of the United States, shall be vested in one Supreme Court and In such Inferior Courts as the Congress may from time to time ordain and establish. The Judges, both of the supreme and inferior Courts, shall hold their Offices during good Behavior and shall. at stated Times, receive for their Services on Compensation (payment) which shall not be diminished during the Continuance in Office. -Article III, Section 1 of the U.S. Constitution

What is the best summary of this passage?

А The passage grants judicial power to federal courts, establishes a Supreme Court, grants life tenure to federal judges, and prohibits decreasing their salaries.

The passage guarantees the Supreme Court the power of Judicial review, allows the Supreme Court to establish inferior courts, and gives Judges the right to appoint court officials.

The passage grants all Judicial power in the United States to the Supreme

Court, requires all Judges to be of strong moral character, and promises Judges a fair salary,

D The passage allows the Supreme Court to determine the salary of members of Congress, based on the good behavior they exhibit as legislator

Answer:

B

Step-by-step explanation:

The trip is a total of 50 miles.

You are trying to find 100% of the trip, so first, A and D can be eliminated because of the extreme values.

Between B and C, you would divide them from 100, b would give you 100, and c would give you 119.

Based on this, 35 miles of a 50 mile trip is equal to 70% of 100%

Hope this helps! Have a great day!

Answer:

2/9

Step-by-step explanation:

1/4 divided by 1 1/8.

First rewrite 1 1/8 as an improper fraction.

You now have 1/4 divided by 9/8.

When dividing by a fraction you multiply by the reciprocal.

You now have 1/4 * 8/9.

Now Multiply the numerators across and the denominators across to get 8/36.

Simplify the fraction. 2/9

Answer:

B

Step-by-step explanation:

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The correct option is B, {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}.

An experiment's or random trial's sample space is the set of all conceivable outcomes or results. The sample space can also be described as the collection of all potential outcomes of a random experiment. Set notation is commonly used to represent a sample space, and the potential ordered outcomes, or sample points, are given as elements in the set.

Given that Max attempts three free throws during a basketball game. And in each attempt, he can be either successful represented by S and Fail represented by F.

Since there are only 2 outcomes, therefore, the number of outcomes that are possible for three trials are,

Number of outcomes = 2³ = 8

Hence, the only option that has 8 outcomes is  {SSS, SSF, SFS, SFF, FSS, FSF, FFS, FFF}.

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Answer:

8.12

Step-by-step explanation:

Stephen has approximately $532.72 in his account at the end of 9 months with a 7.5% compound interest rate.

We can use the formula for compound interest to find the amount of money in Stephen's account at the end of 9 months:

A =P \((1 + r/n)^_(nt)\)

where:

A is the amount of money in the account at the end of the period

P is the principal (initial amount) in the account

r is the annual interest rate (as a decimal)

n is the number of times the interest is compounded per year

t is the time (in years)

We know that P = $500, r = 0.075 (since the interest rate is 7.5%), n = 12 (since the interest is compounded monthly), and t = 9/12 (since 9 months is three-quarters of a year). Substituting these values into the formula, we get:

A = \($500(1 + 0.075/12)^_{(12*(9/12))\) = \($532.72\)

Therefore, Stephen has approximately $532.72 in his account at the end of 9 months.

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Answer:

Step-by-step explanation:

7x2=y

y=14

Answer:

1:  quadrant 4, 2:  1 and 5/10, 3:  3 and 5/8, and 4:  5 and -5 because 5 is 5 from zero and -5 is also 5 from zero

Step-by-step explanation:

Answer:

x-intercept(s): ( 12 , 0 ) y-intercept(s): ( 0 , 3 )

Step-by-step explanation:

i Honestly dont know but these are the x and y intercepts

Answer:

-1.225

Step-by-step explanation:

You basically multiply both numbers together.

The product of the given expression is -1.225

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that expression

−0.05 x 24 1 /2

We have;

−0.05 x 45/2

= -1.225

Hence, The product of the given expression is -1.225

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Answer:

7

Step-by-step explanation:

2 / 5 = 0.4

25 * 0.4 = 10

10 - 3 = 7

Answer:

29.5

Step-by-step explanation:

circumference of circle = 2 ×pi × r

radius = diameter/2

r= 9.4/2

= 4.7

so 2 × pi × 4.7

= 29.5

Answer:

C=πd=π·9.4≈29.53097

C≈29.53

Answer:

Step-by-step explanation:

The discriminant of this equation, i.e, D=\(b^{2}-4ac\) is less than 0:

D= 0-(4*2*18)   --> which is clearly negative

When D is less than 0, the equation has no real number solutions.

Therefore, \(2x^{2}+18=0\) has no real roots

Answer:

Step-by-step explanation:

0 has no roots so thats one, and im just trying to complete a challenge so sorry if im wrong :( but make other person brainliest they did good job :)

Answer: I am not sure but I think its x-value is 3 and y-value is 5 like i said i dont know

Step-by-step explanation:

::

Answer:

y=2x

Step-by-step explanation:

this is because if you divide 120 by 60 you get 2

Answer:97.635

Step-by-step explanation:

Answer:

\(f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}\)

Step-by-step explanation:

So, we need to find the equation of a parabolic function that goes through the points (-3,67) and (-1,1) and has a stretch factor of 9.

In other words, we want to find a quadratic with a vertical stretch of 9 that goes through the points (-3,67) and (-1,1).

To do so, we first need to write some equations. Let's use the vertex form of the quadratic equation. The vertex form is:

\(f(x)=a(x-h)^2+k\)

Where a is the leading coefficient and (h,k) is the vertex.

Since a is the leading coefficient, it's also our stretch factor. Thus, let a equal 9.

Also, we have two points. We can interpret them as functions. In other words, (-3,67) means that f(-3) equals 67 and (-1,1) means that f(-1) equals 1. Write the two equations:

\(f(x)=a(x-h)^2+k\\f(-3)=67=9((-3)-h)^2+k\)

And:

\(f(x)=a(x-h)^2+k\\f(-1)=1=9((-1)-h)^2+k\)

Now, we essentially have a system of equations. Thus, to find the original equation, we just need to solve for the vertex. To do so, first isolate the k term in the second equation:

\(1=9(-1-h)^2+k\\k=1-9(-1-h)^2\)

Now, substitute this value to the first equation:

\(67=9(-3-h)^2+k\\67=9(-3-h)^2+(1-9(-1-h)^2)\)

And now, we just have to simplify.

First, from each of the square, factor out a negative 1:

\(67=9((-1)(h+3))^2+(1-9(((-1)(h+1))^2)\)

Power of a product property:

\(67=9((-1)^2(h+3)^2)+(1-9((-1)^2(h+1)^2))\)

The square of -1 is positive 1. Thus, we can ignore them:

\(67=9(h+3)^2+(1-9(h+1)^2)\)

Square them. Use the trinomial pattern:

\(67=9(h^2+6h+9)+(1-9(h^2+2h+1))\)

Distribute:

\(67=(9h^2+54h+81)+(1-9h^2-18h-9)\)

Combine like terms:

\(67=(9h^2-9h^2)+(54h-18h)+(81+1-9)\)

The first set cancels. Simplify the second and third:

\(67=36h+73\)

Subtract 73 from both sides. The right cancels:

\(67-73=36h+73-73\\36h=-6\)

Divide both sides by 36:

\((36h)/36=(-6)/36\\h=-1/6\)

Therefore, h is -1/6.

Now, plug this back into the equation we isolated to solve for k:

\(k=1-9(-1-h)^2\)

First, remove the negative by simplifying:

\(k=1-9((-1)(h+1))^2\\k=1-9((-1)^2(h+1)^2)\\k=1-9(h+1)^2\)

Plug in -1/6 for h:

\(k=1-9(-\frac{1}{6}+1)^2\)

Add. Make 1 into 6/6:

\(k=1-9(-\frac{1}{6}+\frac{6}{6})^2\\ k=1-9(\frac{5}{6})^2\)

Square:

\(k=1-9(\frac{25}{36})\)

Multiply. Note that 36 is 9 times 4:

\(k=1-9(\frac{25}{9\cdot4})\\ k=1-\frac{25}{4}\)

Convert 1 into 4/4 and subtract:

\(k=\frac{4}{4}-\frac{25}{4}\\ k=-\frac{21}{4}\)

So, the vertex is (-1/6, -21/4).

Now, plug everything back into the very original equation with 9 as a:

\(f(x)=a(x-h)^2+k\\f(x)=9(x+\frac{1}{6})^2-\frac{21}{4}\)

And this is our answer :)

Answer:

I believe the answer is d. 17%, 0.175, 2/11, 1/5

Step-by-step explanation:

if you convet them all to decimels it comes out to:

17%= .17

.175= .175

2/11= .18

1/5= .2

Answer:

c

Step-by-step explanation:

if you change them to decimals yo get the answer

Answer:

missing number is a)0.01

Answer:

Answer is a) 0.01

Step-by-step explanation:

2500 times by 0.01 = 25

Answer: Each person will have the amount of 4/20 ft piece of gum equivalent to 1/5 ft

Answer:

\(u>\frac{3x}{7}-\frac{9x-7l}{21}\)

Step-by-step explanation:

Answer:

Mode=32

Mean=32

Median=32

Step-by-step explanation:

Mode=highest frequency

Mode=10

Mean=£fx

£f

Mean=1280

40

=32

Median=n/2

=40/2

=20

median=32

Answer:

x= uk/k+y

Step-by-step explanation:

Combine the expression and isolate the variable x

Assign the numbers to the number line in the following order:

2.15=2.15

220%=2.2

9/4=2.25

*2.15* is easy enough to place as it is already in decimal form. However, the other 2 options need to be converted to decimals in order to be placed. We have the fraction 9/4 and percentage 220%. 9/4 can either be simply divided on a calculator or turned into the mixed fraction 2 and 1/4, which is *2.25*. Finally, we know that converting a decimal to a percentage we multiply the decimal by 100. Therefore, to convert a percentage to a decimal we divide 100 or move the decimal to the left 2 places. With this conversion rule, 220% transforms to *2.2* and we have the third and final number for our number line. Arranging these three numbers from least to greatest:

2.15, 2.2, 2.25

Answer: Change 4.62 to 462.

Step-by-step explanation: If you multiply 4.62 by 100 you get 462.

1) 46/6 = 7 r 4

2) Drop down the 2 and 42/6 equals 7.

3) This will make each person get 77.

Answer: 77

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Answer:

2-200

4-400

i'm sorry i had a hard time explaining it but that's the answer

The answer is D x=7 and y=18

Divide 12 by 4 to get 3

10 multiply 6× 3 to get Y

Then divide 21 by 3 to get X

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