Which statements correctly describe the fraction bar diagram shown at left? Check all that apply.

A fraction bar labeled 1 whole divided into 7 parts. 1 part is shaded.

The unshaded portion of the fraction bar represents a unit fraction.
.Each part of the whole fraction bar is equal to one-seventh.
.The shaded portion of the fraction bar represents a unit fraction.
.The shaded portion of the fraction bar represents .
.Each part represents a unit fraction.

Answer:

[tex]5^{8}[/tex]

Step-by-step explanation:

[tex]5^{2^{3} } =\\5^{8}[/tex]

We get this because we need to cube the first exponent first. (confusing? Reply to my answer)

Answer:

5^8

Step-by-step explanation:

When I multiply the given expression, I get 390625. Then, when I multiply the options, the one that matches that number is 5^8.

Answer:

the median is 21

Step-by-step explanation:

8 , 15 , 21 , 25 , 63

that is what you have to do you would have to put them in order from least to greatest so then you would see the middle number which is 21

Answer:

The angle ramp make with the lower level is  19.25∘

Step-by-step explanation:

Using the sine function:

sin  θ  =  H e i g h t   D i f ere n c e  / R a mp Length

sin  θ  =  3.1  / 9.4

Taking sine inverse on both sides:

θ  =  s i n − 1  3.1  / 9.4

θ ≈ 19.25 ∘

I hope it helped

have a great day :))

Answer:

the answer is A. 99 degrees because 81 + 18 = 99

Answer:

99°

Step-by-step explanation:

Answer:

lines p and q are parallel because they are kinda the same in every part even the hight.

Answer:

Alternate exterior angles converse theorem.

Step-by-step explanation:

i just know :)

Answer:

1)  =  H

2)  =  0,4

4)  =  S

Step-by-step explanation:

1)  H is found by counting across the horizontal (axis) as x and then downwards the vertical axis for y  as y is a negative we find H for y at ( y = -5 )

But when we always read left to right we start with x first at 3 across. (x= 3) as this is the same as (3,-5)

2)  We find x, y at  (0,4) as 0 is middle of the two axis as they cross each other and 4 goes upwards. x= 0 y =4 = (0,4)

4) S is found as it is a refection of (8,-4) across the y axis.

(x = -8) is still x but it is valued as negative in y  as (x = -8)

Then (y = -4) so it stays the same height as y and represents vertical axis line which is called y axis.

And so y reflects the same height.

But in all the others y represents vertical measure generally.

Whilst x represents horizontal measure generally. they both meet at a point which represents two values generally, like cost and time, network output and population, or cupcakes sales and duration/time.

Answer: H

Step-by-step explanation:

H’s coordinate (3, -5) means that it’s to the right of the y-axis 3 units, and below the x-axis 5 units.

G would be (3, 5)

J would be (-3, -5)

K would be (5, 3)

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Answer:

y=(1/9)x+4

Step-by-step explanation:

x=3b

b=(1/3)x

y=2/6(1/3)x+4

y=(2/18)x+4

y=(1/9)x+4

Answer:

y = 1/(x+2)

Step-by-step explanation:

x=3b and y= 2/(6b+4)

Rewriting the second equation by factoring out 2

y=2/ 2(3b+2)

We know that 3b = x

y=2/ 2(x+2)

Canceling the 2 in the numerator and denominator

y = 1/(x+2)

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

Answer:

1/4

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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Answer:

see below

Step-by-step explanation:

y[tex]\geq[/tex] ..... means full  line and shading above the line

Y< ......means  doted  line and shading below the line

A) solution is overlapping shaded part

B) (10,5)

plug in point in inequalities and check if it's true; if it's true you showed that solution is correct

1. 5[tex]\geq[/tex]-1/2*10 + 2 1/2

  5[tex]\geq[/tex] -5 + 2 1/2

  5[tex]\geq[/tex] -2 1/2 TRUE

2. 5[tex]<[/tex]1/5*10 + 6

   5< 2 + 6

5< 8  TRUE

The solution to the inequality equation is ( -5 , 5 )

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the first inequality relation be represented as A

Now , the value of A is

y ≥ ( -1/2 )x + 2 1/2

y ≥ ( -1/2 )x + 5/2   be equation (1)

Let the second inequality relation be represented as B

Now , the value of B is

y < ( 1/5 )x + 6

On simplifying the equation , we get

Graphing the inequalities we get the common point as ( -5 , 5 )

Substitute the value of x = -5 and y = 5 in the inequality equations , we get

y ≥ ( -1/2 )x + 5/2

Substitute x = -5 and y = 5

5 ≥ ( -1/2 ) ( -5 ) + 5/2

5 ≥ 5/2 + 5/2

5 ≥ 10/2

5 ≥ 5

The inequality is true

Now , y < ( 1/5 )x + 6

Substitute x = -5 and y = 5

5 < ( 1/5 ) ( -5 ) + 6

5 < -1 + 6

5 < 5

The inequality is true when the value of x > -5

Hence , the equations are solved

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Answer:

7?

Step-by-step explanation:

Answer:

k(-1) = 7

Step-by-step explanation:

the blue line represents the graph of k. The question is asking what the y-value at x=-1 is. Therefore, you just look at the blue line when x = -1, which is one block to the left of the middle. At that point, the y value is 7.

Answer:

12 hours

Step-by-step explanation:

Given

1 inch = 400 miles

1 inch = 400 miles

multiplying LHS and RHS by 9

1*9 inche = 400*9 miles

9 inches = 3600 miles

Given that on map distance from point A to point B is 9 inches

Actual distance will be 3600 miles as calculated above.

we know that

Time = distance / speed

given

speed = 300 mph

distance = 3600 miles

time = 3600 miles/300 mph = 12 hours

Thus, trip will take 12 hours.

Answer:

c 81

Step-by-step explanation:

Answer:

Width of Belmont Avenue is 5.2 meters

Step-by-step explanation:

We use the Pythagoras theorem to solve the problem

Pythagoras Theorem states that:

Hypotenuse² = Base² + Perpendicular²

Danville Street, Belmont Avenue and their diagonal forms a right angled triangle

In this case, let the base be Danville Street with width of 8.1 meters

Let the hypotenuse be 9.6 meters

We need to find the perpendicular

Put the values in Pythagoras theorem.

9.6² = 8.1² + perpendicular²

perpendicular² = 9.6²-8.1²

perpendicular² = 92.16 - 65.61

perpendicular² = 26.55

take square root on both sides

perpendicular =5.153

Round of to nearest 10th

Perpendicular = 5.2 meters

Belmont Avenue = 5.2 meters

Answer:

Just like combining like terms with the same variables, you combine like

radicals with the same number under the radical signs.

Step-by-step explanation:

Example:

3x + 2x

= 5x   {combined like terms}

3√2 + 2√2

= 5√2   {combined like radicals}

Combining two or more terms are similar to combining two or more radicals.

What is a radical?

The 'n' th root of a number 'x' is written as [tex]\sqrt[n]{x}[/tex]. It is called a radical.

Combining two or more terms:

(a + 2a + 97a) = 100a

Combining two or more radicals:

(a[tex]\sqrt{3}[/tex] + 9a[tex]\sqrt{3}[/tex] + 90a[tex]\sqrt{3}[/tex]) = 100a[tex]\sqrt{3}[/tex]

Therefore, combining two or more terms are similar to combining two or more radicals.

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Answer:

the answer to the following questions is 10870.46873

Answer:

Step-by-step explanation:

i'm not sure what the answer options are since they're not provided, but it's whichever option has a steady rate of change. (ex: money, time spent earning it; location, time spent driving; length in inches, length in meters)

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Answer:

B. 3 radians

Step-by-step explanation:

We are given the following components of the circle.

Radius of circle (r) = 4 cm

Length of arc (l) = 12 cm

Lenght of arc of a circle is given by the following formula:

[tex] l = \frac{\theta}{2\pi^c}\times 2\pi r[/tex]

Substituting the values of l and r in the above formula, we find:

[tex] 12 = \frac{\theta}{2\pi^c }\times 2\pi \times 4\\\\

\therefore 12 = \theta \times 4\\\\

\theta = \frac{12}{4}\\\\

\theta = 3 \: radians[/tex]

Answer:

y=7/10+3/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are five lines of symmetry in a regular pentagon:

Each going from side midpoint to opposite vertex.

here is a drawing of all of them filled in:

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

Work Shown:

Plug in n = 1 to find the next term

f(n+1) = f(n) - 2

f(1+1) = f(1) - 2 ... replace every n with 1

f(2) = f(1) - 2

f(2) = 18-2 .... replace f(1) with 18

f(2) = 16

We'll use this to get the next term. Plug in n = 2

f(n+1) = f(n) - 2

f(2+1) = f(2) - 2 ... replace every n with 2

f(3) = f(2) - 2

f(3) = 16 - 2 ... replace f(2) with 16

f(3) = 14

This process keeps going until we reach f(5)

Plug in n = 3

f(n+1) = f(n) - 2

f(3+1) = f(3) - 2

f(4) = f(3) - 2

f(4) = 14-2

f(4) = 12

and finally plug in n = 4

f(n+1) = f(n) - 2

f(4+1) = f(4) - 2

f(5) = f(4) - 2

f(5) = 12 - 2

f(5) = 10

The summary is basically we subtract 2 from each term to get the next term. The sequence is 18, 16, 14, 12, 10 which is arithmetic.

Answer:

7.50 - 6.49 = $1.01 left

Answer:

1.01

Step-by-step explanation:

7.50 - 6.49 = 1.01

basically write the triangle in degree language like this is a acute angle because this is a 70* degree angle and talk more

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Answer:

C) The triangles are not similar

Step-by-step explanation:

There are 3 triangle similarity theorems:

We can find the all the angles of both triangles, so we can determine the similarity of these triangles only by first theorem

Angles of ΔQRS:

<Q = 63°

<R = 90°

<S = 180°-63°-90° = 27°

Angles of ΔTUV:

<T=180°-90°-25° = 65°

<U = 90°

<V = 25°

As none of the angles are same, triangles are not similar.