Which expressions below equal a rational number? Select all that apply.
Orx4
2.4
375
136 + 15
3 - 3
(149)(7)

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Answer:

Step-by-step explanation:

y=kx²

y₁=k(1)²=k

y₃=k(3)²=9k

y₁-y₃=k-9k=32

-8k=32

k=-4

y=-4x²

y₋₂=-4(-2)²=-16

Answer:

x = 23.78 cm to the nearest hundredth

Step-by-step explanation:

In a right-angled triangle:

The opposite "O" is the opposite side to the angle

The adjacent  side "A" is adjacent side to the angle

The hypotenuse "H" is the long side that joins the 2 legs

For this triangle, we have:

angle = 18°

adjacent (A) = x

hypotensue (H) = 25

So we can use the trig formula:  \(cos(\theta)=\frac{A}{H}\)

Therefore,  \(cos(18)=\frac{x}{25}\)

Multiply both sides by 25:     25 cos(18) = x

Therefore, x = 23.77841291...

So x = 23.78 cm to the nearest hundredth

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

b

Step-by-step explanation:

10x6=60

<3

Answer:

The answer is B.

Answer:

3(2040x-4039)/4x

Step-by-step explanation:

Answer:

248 ounces

Step-by-step explanation:

I hope this helps :D

Answer:

248 ounces is the correct answer hope you will like it and Mark me as BRAINLIEST!!!!

Answer:

b = 65°

Step-by-step explanation:

Now we have to,

→ find the required value of b.

Forming the equation,

→ 115° + b = 180°

Then the value of angle b is,

→ 115° + b = 180°

→ b = 180° - 115°

→ [ b = 65° ]

Hence, the value of b is 65°.

Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Answer:

80% of 100

Step-by-step explanation:

25% of something is basically dividing it by 4, meaning 25% of 200 is 50,

While 80% of 100 is 80

A good way to memorize this is if youre taking anything as a percent of 100, get rid of a 0 on the 100, and put a decimal place in the number.

(e.g. 90% of 10 is 9. whereas 90% of 100 is 90)

Just remember which you're dealing with!

Hope this helps!

Answer:

Step-by-step explanation:

25% of 200 is

80% of 100 is

As 80 > 50,  

the second number is greater

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

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

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

the answer is 3

Step-by-step explanation:

21 x 3 =7

hope it helps

Answer:

21/7

Step-by-step explanation:

Move 7 to next side with opposite process it is multiple after move it will be divided so 21x (21/7) it will be 7 although (21/7)equivalent to 1/3

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

\( {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} \)

Hope it will help :)❤

Answer:

12 units

Step-by-step explanation:

(-7,-6)

if you reflect it over the x-axis then the second number would be changing

-6 the opposite is 6

(-7, 6)

from -6 to 6 is 12 jumps

12 units is the distance from the original point

The maximum number of mangos that Jaxson could buy is 7 mangoes.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here.
Jaxson decided to buy 6 bananas,
Cost of 6 bananas

= 0.90x6
= $5.4

Money left to buy mangos

= 9.10-5.4
=$3.7

The cost of mangos is $0.50 each.
The number of mangoes is given as

= 3.7/0.50
=7.4
≈7

Thus, the maximum number of mangos that Jaxson could buy was 7 mangoes.

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Answer:

a=13 - 4b/5

b=65/4-5a/4

Step-by-step explanation:

Step-by-step explanation:

the trick is to split the polygon into simple shapes like triangles, rectangles and squares, then calculate the areas of all these basic shapes and add them up.

remember, the area of a triangle is

baseline × height / 2

in a right-angled triangle both legs can be used as baseline and height.

the area of a rectangle is

length × width

I see a large 4×4 square in the middle.

and then

a 5×2 right-angled triangle on the left side.

a 2×1 right-angled triangle on the top right.

a 3×2 right-angled triangle on the right side.

a 2×1 rectangle, and a 2×1 right-angled triangle at the bottom.

the areas are

4×4 square = 16 in²

5×2 triangle = 5×2/2 = 5 in²

2×1 triangle = 2×1/2 = 1 in²

3×2 triangle = 3×2/2 = 3 in²

2×1 rectangle = 2 in²

2×1 triangle = 2×1/2 = 1 in²

the total area is then

16 + 5 + 1 + 3 + 2 + 1 = 28 in²

The area of the polygon is 28in²

What is a polygon?

a polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides. It does not have curved sides. The sides of a polygon are also called its edges. The points where two sides meet are the vertices (or corners) of a polygon.

The polygon can be divided into 4 parts

first part is triangle

Area = 1/2 bh

= 1/2 ×2× 5 = 5in²

second part is rectangle

area = 5 × 2 = 10 in²

The third part is parallelogram

area = b×h

= 5×2 = 10in²

fourth part is triangle

area = 1/2 b×h

= 1/2 × 2 ×3

= 3in²

the area of the polygon =( 5+10+10+3)in²

= 28in²

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Answer: x=20

Step-by-step explanation:

The two angles are vertically opposite so they are equal to each other

7x-99=2x+1

5x=100

x=20

20inches=too 6.6 inches per side bc there are 3 sides

:) good luck!

Answer:

yes

Step-by-step explanation:

Answer:

The answer is d

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3Rewrite

8

as

2

3

.

x

3

−

2

3

=

0

Since both terms are perfect cubes, factor using the difference of cubes formula,

a

3

−

b

3

=

(

a

−

b

)

(

a

2

+

a

b

+

b

2

)

where

a

=

x

and

b

=

2

.

(

x

−

2

)

(

x

2

+

x

⋅

2

+

2

2

)

=

0

Simplify.

Tap for more steps...

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

−

2

=

0

x

2

+

2

x

+

4

=

0

Set the first factor equal to

0

and solve.

Tap for more steps...

x

=

2

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

−

1

+

i

√

3

,

−

1

−

i

√

3

The final solution is all the values that make

(

x

−

2

)

(

x

2

+

2

x

+

4

)

=

0

true.

x

=

2

,

−

1

+

i

√

3

,

−

1

−

i

√

3

Answer:

30+6+0.9+0.01 =36.91

Step-by-step explanation: Here ya go ;>

The expression with a rational exponent as a radical expression is \(\sqrt[9]{3}\). Therefore, option B is the correct answer.

The given expression is \((3^{\frac{2}{3} } )^{\frac{1}{6} }\).

Rational exponents are exponents of numbers that are expressed as rational numbers, that is, in \(a^\frac{p}{q}\), a is the base and p/q is the rational exponent where q ≠ 0.

Now, the given expression can be solved as follows:

Using power law \((a^m)^n=a^{m\times n}\), we get

\((3^{\frac{2}{3} } )^{\frac{1}{6} }=3^{\frac{2}{3}\times \frac{1}{6}}\)

\(=3^{\frac{1}{9} }\)

The equivalent expression to \(=3^{\frac{1}{9} }\) is \(\sqrt[9]{3}\).

The expression with a rational exponent as a radical expression is \(\sqrt[9]{3}\). Therefore, option B is the correct answer.

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Answer:

1.75

Step-by-step explanation:

Finding average rate of change :

The average rate of change for P between 1992 and 2000 is -1.025.

The average rate at which one quantity changes in relation to another is known as the average rate of change function.

It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.

Average rate of change for a function 'f' in the interval [a, b] is,

A = f(b) - f(a) / (b-a)

So, the Average rate of change

= P(2000) - P(1992) / (2000 - 1992)

= (34.5 - 42.7) /(2000 - 1992)

= -8.2 / 8

= -1.025

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Answer: 1

Step-by-step explanation: From the above data, we observe that 1 is the greatest factor of itself and the smallest factor of any other number. Therefore, 1 is the factor of every number.

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Answer:

1.06

I hope this helps :D

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140