The Constitution gives Congress the power to create federal courts
lower than the Supreme Court
higher than the Supreme Court
equal to the Supreme Court,
unaffected by the Supreme Court.

Answer:

14 in

Step-by-step explanation:

The circumference is given as 28x, but it should be [tex]28\pi[/tex]

Now, the formula for circumference of a circle is C = 2πr

Where C is the circumference (given as 28π) and r is the radius

Lets plug it in and find r:

[tex]C=2\pi r\\28\pi = 2\pi r\\r=\frac{28\pi}{2\pi}\\r=14[/tex]

THus, radius is 14 inches

Answer:

x = [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

We are given the following expression which we are to solve for x and give the answer in a mixed form of fraction:

[tex] \frac { 3 x } { 2 } = 5 [/tex]

Taking the denominator to the other side of the equation and multiplying it to get:

[tex]3x=10[/tex]

[tex] x = \frac { 1 0 } { 3 } [/tex]

Writing it in mixed number:

[tex] x = 3 \frac { 1 } { 3 } [/tex]

Final answer:

To solve the equation 3x/2 = 5, first multiply both sides by 2 and then divide by 3, resulting in x = 10/3, which is 3 1/3 as a mixed number.

Explanation:

To solve the equation given, 3x/2 = 5, one must isolate the variable x. This can be done by multiplying both sides by the denominator to cancel it out, followed by dividing by the coefficient of x. Here's the step-by-step calculation:

Multiply both sides by 2 to get rid of the fraction: 2 * (3x/2) = 2 * 5, which simplifies to 3x = 10.

Divide both sides by 3 to solve for x: 3x / 3 = 10 / 3, which simplifies to x = 10 / 3.

Express 10/3 as a mixed number: 10/3 is 3 1/3 because 3 goes into 10 three times with a remainder of 1.

This gives us the final answer in terms of a mixed number.

Answer:

$504

Step-by-step explanation:

since there is 12 months in a year , the family would pay 12$ a year.

12x12= 144

then since they paid a down payment of $360

360+144=504

so they would have paid $504

Answer:

After factorization of given expression we get 12( x + 30 ).

Step-by-step explanation:

Given:

Money Saved by Nolansky family for down payment = $ 360

x is the monthly payment for 1-year

Expression Representing the total cost of the computer = 12x + 360

To find: Factors of the given expression.

We need to factor the given expression. We do it by taking the common factor of both the term.

Consider,

12x + 360

= 2 × 2 × 3 × x +  2 × 2 × 2 × 3 × 3 × 5

= 2 × 2 × 3 × ( x + 2 × 3 × 5 )

= 12 × ( x + 30 )

= 12 ( x + 30 )

Therefore, After factorization of given expression we get 12( x + 30 ).

Answer:

24

Step-by-step explanation:

To solve the equation, multiply 60 by 2/5.

[Note: 60 can be written as 60/1]

60/1 x 2/5

Multiply the numerators:

60 x 2 = 120

Multiply the denominators:

1 x 5 = 5

Now simplify:

120/5 = 24

So, the correct answer is 24. I hope this helps! :)

Answer:

Step-by-step explanation:

Givens

To find the number of containers that can be filled with 60 founds, we can use the following expression

[tex]\frac{2}{5} c=60[/tex]

Where [tex]c[/tex] is containers. Solving for [tex]c[/tex]

[tex]c=\frac{60(5)}{2}\\ c=\frac{300}{2}\\ c=150[/tex]

Therefore, 150 containers can be filled with 60 pounds of blueberries.

Answer:

Each friend will get 1/3 of a bread roll.

4 bread rolls. and 12 friends.

So 4/12 = 1/3.

Hope it helps..........

Step-by-step explanation:

Answer:

1/3 is the answer.

Step-by-step explanation:

There are 12 people, and 4 bread rolls. Each person would therefore get

4 bread rolls/ 12 people, so each person would get 1/3 of a bread roll.

Answer:

(-2, 1)

Step-by-step explanation:

Just substitute -2 for x in y = x + 3:    y = -2 + 3 = 1.  So the solution is (-2, 1).

Answer:

Solution of the system of equations

y = x + 3

x = –2 is:

(-2,1)

Step-by-step explanation:

We have to find the solution of the system of equations:

y = x + 3

x = –2

Solution means values of x and y

x= -2

Putting it in equation y=x+3

⇒ y= -2+3

⇒ y= 1

Hence, solution of the system of equations

y = x + 3

x = –2 is:

(-2,1)

Step-by-step explanation:

It is important to remember that when we graph a linear equation, we get a line and when we graph a quadratic equation, we get a parabola.

Then,  given a system of a quadratic equation and a linear equation, there are three possibles cases for the solution:

- If the line and the parabola never intersect, then there is no real solution.

- If the line just touches the parabola, then there is one real solution.

- If the line and the parabola intersect at two points, then there Two real solutions.

Then the system of a quadratic equation and a linear equation may have: no intersections points, one intersection point or two intersection points.

Answer:

34.

Step-by-step explanation:

x = 3 + 2√2

x^2 = (3+2√)^2

=  9 + 8 + 12√2

= 17 + 12√2

x^2 + 1 /x^2

= (17 + 12√2)^2 +  (1 / (17 + 12√2)

= 34.

Hello :D

Answer:

[tex]\boxed{R>-1}[/tex]

The answer should have a negative sign.

Step-by-step explanation:

First, you do is divide by 17 from both sides of an equation.

[tex]\frac{17r}{17}>\frac{-17}{17}[/tex]

Then, you simplify and solve to find the answer.

[tex]-17\div17=-1[/tex]

[tex]\boxed{R>-1}[/tex], which is our answer.

I hope this helps you!

Have a great day! :D

Answer: [tex]r>-1[/tex]

Step-by-step explanation:

Given the inequality provided [tex]17r > -17[/tex], you need to solve for "r".

To do this, you can divide both sides of the inequality by 17. Then you  get the following solution:

[tex]17r > -17\\\\\frac{17r}{17}>\frac{-17}{17}\\\\(1)r>(-1)\\\\r>-1[/tex]

Now, you can expressed this solution in Interval notation form.

 Therefore, the solution of the inequality in Interval notation is:

[tex](-1, \infty)[/tex]

Answer:

12

Step-by-step explanation:

6 people

2 bagels per person

This is a multiplication problem.

2 * 6 = 12

He bought 12 bagels.

Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.

Now, Pythagoras' Theorem is defined as follows:

c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:

c^2 = a^2 + b^2

24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)

b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)

b = √(24^2 - 8^2) (Take the square root of both sides)

b = √512 (Evaluate 24^2 - 8^2)

b = 16√2 (Simplify √512)

= 22.627 (to three decimal places)

I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.

Answer:

The possible value of 'x' is: 3.

Step-by-step explanation:

A polynomial has no real solutions when the discriminat is less than zero. Given the following polynomial: [tex]ax^{2} +bx+c = 0[/tex] the discriminant is given by: [tex]Discriminant = b^{2}-4ac[/tex]

In this case, a=1, b=2. By substituting those values:

[tex]Discriminant = 2^{2}-4(1)c[/tex] ⇒ [tex]Discriminant = 4-4c[/tex]

Given that the discriminant should be less tha zero, then 'c' must be greater than one.

In this case, the only possible value of 'x' is: 3.

Answer:

3

Step-by-step explanation:

Given

x² + 2x + c = 0 ← in standard form

with a = 1, b = 2 and c = c

If there are no real solutions then the discriminant

b² - 4ac < 0, that is

2² - (4 × 1 × c ) < 0

4 - 4c < 0 ( subtract 4 from both sides )

- 4c < - 4

Divide both sides by - 4, reversing the sign as a consequence

c > 1

Hence a possible value of c is 3

Answer:

20 minutes

Step-by-step explanation:

Both will meet again at start point after LCM(60,80) seconds.

That is 240 seconds.

in time slower car completes one lap, faster one covers 1 +20/80 lap, that is 1.25 laps. After 20 laps faster by slower car car will be 5 laps ahead, time =20*60 = 1200s = 20 minutes.

hope it help

Answer:

Step-by-step explanation:

1.2307692307692.

The first step is to find the proportionality constant.

The formula is

z = kx/y

1.2307692307692 = k * 4/13          Multiply both sides by 13

1.2307692307692 * 13 = 4k

16 = 4*k                                            Divide by 4

k = 16/4

k = 4

=================================

z = k*x/y

x = 9

y = 20

k = 4

z = 4 *9/20

z = 36/20

z = 1.8

Answer:

[tex]&\boxed{\text{1.800 000 000 0000}}[/tex]

Step-by-step explanation:

[tex]z \propto x\\\\z \propto \dfrac{1}{y}\\\\z \propto \dfrac{x}{y}\\\\z = k \left (\dfrac{x}{y} \right )[/tex]

Solve for k

[tex]\begin{array}{rcl}1.2307692307692& = & k\left (\dfrac{4}{13} \right )\\\\16.000000000000 & = & 4k\\k & = & 3.9999999999999\\\\z & = & 3.9999999999999\left (\dfrac{x}{y}\right )\\\end{array}[/tex]

Calculate the new value of z

[tex]\begin{array}{rcl}z & = & 3.999 999 999 9999 \left (\dfrac{9}{20}\right )\\\\& = &\boxed{\textbf{1.800 000 000 000}}\\\end{array}[/tex]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C".

Using the law of sines we have:

[tex]\frac{sin(A)}{a} = \frac{sin(B)}{b}[/tex]

[tex]\frac{sin(113)}{15} = \frac{sin(B)}{8}[/tex]

Solving for B, we have:

[tex]sin(B)=0.4909[/tex]

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

Answer:

b on edge

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

ok lets say one 2 is equal to 4/4  so you have 8/4 plus the 3/4

Answer:

11/4

Step-by-step explanation:

you have to multiply 2 by 4 because there are 2 groups of four which would get you to 8 then add the left overs which would make it 11 and bam 11/4

The speed of the commercial jet is [tex]540mi/h[/tex] while the speed of the private airplane is [tex]330mi/h[/tex]

Let's name the commercial jet as cj and private airplane as pa, so we know the following:

It takes the commercial jet 1.1 hours for the flight, so:

[tex]t_{cj}=1.1h[/tex]

It takes the private airplane 1.8 hours for the flight, so:

[tex]t_{pa}=1.8h[/tex]

The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane:

Let's name the speed of the commercial jet as [tex]v_{cj}[/tex] and the speed of the private airplane as [tex]v_{pa}[/tex], then:

[tex]v_{cj}=v_{pa}+210[/tex]

From physics we know that:

[tex]v=\frac{d}{t} \\ \\ Where: \\ \\ v: \ speed \\ \\ d: \ distance \\ \\ t: \ time[/tex]

Since the distance from Denver to phoenix is unique, then:

[tex]d_{cj}=d_{pa}=d[/tex]

Thus, from the equation [tex]v_{cj}=v_{pa}+210[/tex] and given the relationship [tex]v=\frac{d}{t}[/tex] we have:

[tex]v_{cj}=v_{pa}+210 \\ \\ \frac{d}{t_{cj}}=\frac{d}{t_{pa}}+210 \\ \\ \\ Plug \ in \ t_{cj}=1.1 \ and \ t_{pa}=1.8 \ then: \\ \\ \frac{d}{1.1}=\frac{d}{1.8}+210 \\ \\ Isolating \ d: \\ \\ d(\frac{1}{1.1}-\frac{1}{1.8})=210 \\ \\ \frac{35}{99}d=210 \\ \\ d=\frac{99\times 210}{35} \\ \\ d=594miles[/tex]

Finally, the speeds are:

[tex]\bullet \ v_{cj}=\frac{d}{t_{cj}} \\ \\ v_{cj}=\frac{594}{1.1} \therefore \boxed{v_{cj}=540mi/h} \\ \\ \\ \bullet \ v_{pa}=\frac{d}{t_{pa}} \\ \\ v_{pa}=\frac{594}{1.8} \therefore \boxed{v_{pa}=330mi/h}[/tex]

Answer:

Step-by-step explanation:

Answer:

mK = 37° and n = 31

Step-by-step explanation:

its A of ed.

Answer:

A is the answer

Step-by-step explanation:

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{\frac{7}{3}}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{\frac{1}{3}}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{\left( \frac{1}{3}-\frac{7}{3} \right)^2+(-1-2)^2}\implies d=\sqrt{\left( -\frac{6}{3} \right)^2+(-3)^2} \\\\\\ d=\sqrt{(-2)^2+(-3)^2}\implies d=\sqrt{4+9}\implies d=\sqrt{13}[/tex]

The distance between the given coordinate points is √13 units.

The given coordinate points are (7/3,2) and (1/3,-1).

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].

Substitute (x1, y1)=(7/3,2) and (x2, y2)=(1/3,-1) in distance formula, we get

Distance = √[(1/3-7/3)²+(-1-2)²]

= √[(-2)²+(-3)²]

= √13 units

Therefore, the distance between the given coordinate points is √13 units.

To learn more about the distance formula visit:

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Answer:

B. 48

Step-by-step explanation:

Use the property of secant and tangent to the circle: If one secant and one tangent are drawn to a circle from one exterior point, then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant.

In yuor case,

Tangent = x

External secant = 6

Secant =6+2

So

[tex]x^2 =6\cdot (2+6)\\ \\x^2 =6\cdot 8\\ \\x^2 =48[/tex]

Answer:

It's literally 16

Step-by-step explanation:

Just 16 bro

Step-by-step explanation:

the answers are in the picture

The answer is:

The equation of the line with slope 3 that passes through the point M(1,2) is:

[tex]y=3x-1[/tex]

To determine the equation of the line with slope equal to 3, that passes through the point M(1,2) we can use the following equation:

The slope-intercept of the line is defined by the following equation:

[tex]y=mx+b[/tex]

Where,

m is the slope of the line

b is the constant number which represents the y-axis intercept of the line.

So, using the given information, we have:

[tex]y=3x+b[/tex]

Then, using the given point to calculate "b", we have:

[tex]2=3*1+b[/tex]

[tex]2=3+b[/tex]

[tex]2-3=b[/tex]

[tex]b=-1[/tex]

So, rewriting the equation, we have:

[tex]y=3x-1[/tex]

Hence, the equation of the line with slope 3 that passes through the point M(1,2) is:

[tex]y=3x-1[/tex]

Have a nice day!

A boy swimming at an elevation of 3 feet below sea level. This is the answer because the boy is only 3 feet away from sea level while the bird is 10 feet away form sea level.

Answer:

B. A boy swimming at an elevation of –3 feet.

Step-by-step explanation:

We have been given that a bird flies at an elevation of 10 feet. We are asked to choose the elevation that is closer to sea level than the bird.

Let us find absolute value of each elevation.

A. A fish swimming at an elevation of –18 feet.

[tex]|-18|=18[/tex]

The fish is 18 feet away from sea level.

B. A boy swimming at an elevation of –3 feet.

[tex]|-3|=3[/tex]

The boy is 3 feet away from sea level.

C. A kite flying at an elevation of 30 feet.

[tex]|30|=30[/tex]

The kite is 30 feet away from sea level.

D. A bird sitting in a tree at an elevation of 12 feet

[tex]|12|=12[/tex]

The bird is 12 feet away from sea level.

Since the distance between the boy swimming and sea level is less than other distances, therefore, the boy is closer to sea level than the bird.

The piecewise function can be graphed by graphing the two sub-functions, x+3 and 2x, separately for their defined ranges of x-values, with x+3 for 4 < x < 8 and 2x for x > 8, and combining them to form the complete graph of the piecewise function.

To graph this piecewise function, you would start by separately graphing each sub-function, x+3 and 2x, within their defined ranges of x-values, with x+3 defined for 4 < x < 8 and 2x defined for x > 8.

For 4 < x < 8, plot the line y = x + 3, but only include the section of the line where x values are greater than 4 and less than 8. Keep in mind this will not include the points where x=4 or x=8.

Next, for x > 8, plot the line y = 2x, but this time only include the section of the line where x values are greater than 8. Ensure X=8 is excluded.

The two separate lines drawn are the graphical representation of the piecewise function f(x).

https://brainly.com/question/40942486

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Answer:

Area of the shape is 21 m².

Step-by-step explanation:

From the given figure it is clear that the figure contains one square with edge 3 m and 4 congruent triangles with base 3 m and height 2 m.

The area of a square is

[tex]A=a^2[/tex]

[tex]A_1=(3)^2=9[/tex]

The area of square is 9 m².

The area of a triangle is

[tex]A=\frac{1}{2}\times base \times height[/tex]

The area of a triangle whose base is 3 m and height 2 m is

[tex]A=\frac{1}{2}\times 3 \times 2=3[/tex]

The area of a triangle is 3 m². So, the area of 4 triangles is

[tex]A_2=4 \times A=4\times 3=12[/tex]

The area of 4 triangles is 12 m².

The area of shape is

[tex]A=A_1+A_2=9+12=21[/tex]

Therefore the area of the shape is 21 m².

Answer:

Second option.

Step-by-step explanation:

The angle [tex](3x+17)\°[/tex] and the angle [tex](4x-8)\°[/tex] are alternate exterior angles, then they are congruent. So we can can find "x":

[tex]3x+17=4x-8\\17+8=4x-3x\\x=25[/tex]

Then, the angle  [tex](4x-8)\°[/tex] is:

 [tex](4x-8)\°=(4(25)-8)\°=92\°[/tex]

You can observe that the angle identified in the figure attached as "3" and the angle 46° are Alternate interior angles, then they are congruent.

Since the sum of the measures of the angles that measure 92°, 46° and the angle "2" is 180°, we can find the measure of the angle "2" by solving this expression:

[tex]92\°+46\°+\angle 2=180\°\\\\\angle 2=180\°-92\°-46\°\\\\\angle 2=42\°[/tex]

Answer:I agree that 46 is correct

Step-by-step explanation:

Answer: Second Option

[tex]g(x) = 2x^2 + 1[/tex]

Step-by-step explanation:

By definition, a function f(x) is an even function if:

[tex]f (-x) = f (x)[/tex]

This means that each input value x and its negative -x are assigned the same output value y.

To verify which of the functions is even, you must test [tex]f(-x) = f(x)[/tex] for each of them

First option

[tex]g(x) = (x - 1)^2 + 1[/tex]

[tex]g(-x) = (-x -1)^2 +1\\\\g(-x) = ((-1)(x+1))^2 +1\\\\g(-x) = (-1)^2(x+1)^2 +1\\\\g(-x) = (x+1)^2 +1\neq g(x)[/tex]

Second option

[tex]g(x) = 2x^2 + 1[/tex]

[tex]g(-x) = 2(-x)^2 + 1[/tex]

[tex]g(-x) = 2x^2 + 1=g(x)[/tex]

Third option

[tex]g(x) = 4x + 2[/tex]

[tex]g(-x) = 4(-x) + 2[/tex]

[tex]g(-x) = -4x + 2\neq g(x)[/tex]

Fourth option

[tex]g(x) = 2^x[/tex]

[tex]g(-x) = 2^(-x)[/tex]

[tex]g(-x) = \frac{1}{2^x}\neq g(x)[/tex]

Answer:

B

Step-by-step explanation:

Just took test on edge

Answer:

There are 2 solutions to this equation

[tex]x=-\frac{1}{4} +i\frac{\sqrt{19} }{4} ,x=-\frac{1}{4} -\frac{\sqrt{19} }{4}[/tex]

Step-by-step explanation:

for  a quadratic equation of the form ax^2 + bx + c = 0 the solutions are

[tex]x_{1,2}=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

[tex]x=\frac{-2+\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4}+ i\frac{\sqrt{19} }{4} \\x=\frac{-2-\sqrt{2^{2}-4.4.5 } }{2.4} :-\frac{1}{4} -i\frac{\sqrt{19} }{4}[/tex]

brainiest plz