Find the four rational numbers between 2/3 and 5/6​

Answer:

99

Step-by-step explanation:

99 + 19 = 118

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

24.09 am I smart or what lol

Step-by-step explanation:

22 +2.09

Answer:

Step-by-step explanation:

Remark

The way this is written, the notation is directing you to add the right hand sides of the two given polynomials.

Givens

f(x) = 2x^3 + 3x^2 + 7x + 2

g(x) =                        2x - 5                Add

Solution and Answer

Answer: (f + g)(x) = 2x^3 + 3x^2 + 9x -3

Be careful with that - 5. The result is -5 + 2 = - 3                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Answer: It's (f+g)(x)=2x^3+3x^2-5x+3

Step-by-step explanation: I just did it.

Answer:

Step 1: 3t = 51

Step 2: 3t/3 = 51/3

Step 3: t = 17

Step 4: The Green Garage has 17 tires

Hope this helps!

Answer:

3t=51

\(\frac{3t}{3}\)=\(\frac{51}{3}\)

t=17

The Green Garage has 17 tires.

Step-by-step explanation:

Look at the question carefully

WeANSWER

Th total weight she lost during the time was 1 gram

STEP BY STEP EXPLANATION

We can use 2 method to solve this.

Starting with Method 1:

Step 1: find the difference in weights

7th Feb - 1st Feb = 0.4

14th Feb - 7th Feb = -0.7

21st Feb - 14th Feb = -0.6

1st Mar - 21st Feb = 1.2

7th Mar - 1st Mar = -0.8

14th Mar - 7th Mar = 0.1

21st Mar - 14th Mar = -0.6

Total = -1 (this means weight loss of 1 gram)

Method 2

Weight at first day (1st Feb) - Weight at Last day (

Given data:

The given function is f(x)=4(1/2)^x.

The given function always greater than zero, the given function never become equal to zero, the asymptote at y=0.

Thus, zero can't be consider as the absolute minima of the function.

Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

The solution of x in the inequality is x > -8

The inequality is given as:

5 - (x + 5) > -2(x + 4)

Open the brackets

5 - x - 5 > -2x - 8

Evaluate the like terms

-x > -2x - 8

Add 2x to both sides of the inequality

2x - x > 2x - 2x - 8

Evaluate the sum

x > -8

Hence, the solution of x in the inequality is x > -8

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Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Answer:

(1)5 - 0.5(5) = 5 - 2.5 =======2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

\((a)b-0.5b\)

Substitute 'a' and 'b' for the appropriate values:

\((1)5-0.5(5)\)

Solve:

\((1)5-0.5(5)\\\\5-2.5\\\\\boxed{2.5}\)

Hope this helps.

Answer:

nononoonoonononoononon

Step-by-step explanation:

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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The fabric  has a cost per yard of $6 per yard

From the question, the given parameters are:

Yards of fabric = 2 1/2 yards

Cost of the fabric = $15

The cost per yard of the fabric is then calculated as

Cost per yard = Cost of the fabric/Yards of fabric

Substitute the known values in the above equation

So, we have

Cost per yard = 15/(2 1/2)

Evaluate the quotient

So, we have

Cost per yard = 6

Hence, the cost per yard is $6 per yard

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The relative extrema for the following function. f (x )equals 3 x minus x cubed is (1, 2)

Using the first derivative test, you may check for any sign changes of f′ around the critical points of a given function and discover relative extrema, or local maxima and minima.

A critical point must transition from rising, or positive f′, to decreasing, or vice versa, at that point for the function to be said to have local extrema.

So, start by determining the first derivative of f,

f(x) = 3x-x³

f'(x) = 3 - 3x²

To determine the function's critical points,

f' = 0

3 - 3x² = 0

3x² = 3

x = 1

Putting value of 1 in f(x) = 3x-x³ = 3-1 = 2

So the local maxima is (1,2)

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Answer:

length= 125

width= 100

Step-by-step explanation:

let width have a length of x m

therefore length= (x+25)m

perimeter=2(length +width)

p=2((x+25)+x)

p=4x+50

but we have perimeter to be 450,, we equate it to 4x+50 above,

450=4x+50

4x=400

x=100 m

length= 125

width= 100

9514 1404 393

Answer:

  54°, 90°, 108°, 126°, 162°

Step-by-step explanation:

The sum of angles in a pentagon is 180°(5 -2) = 540°.

The sum of ratio units is 3 +5 +6 +7 +9 = 30. So, each "ratio unit" stands for ...

  540°/30 = 18°

Then the angles are found by multiplying the given ratios by 18°:

  3 : 5 : 6 : 7 : 9 = 54° : 90° : 108° : 126° : 162°

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

Answer:

2 * A^(3/2).

Step-by-step explanation:

Given that planet y is twice the mean distance from the sun as planet x, we can denote the mean distance of planet x as "A" and the mean distance of planet y as "2A".

The equation T^2 = A^3 represents the relationship between the orbital period (T) and the mean distance from the sun (A) for a planet.

Let's compare the orbital periods of planet x and planet y using the equation:

For planet x:

T_x^2 = A^3

For planet y:

T_y^2 = (2A)^3 = 8A^3

To find the factor by which the orbital period is increased from planet x to planet y, we can take the square root of both sides of the equation for planet y:

T_y = √(8A^3)

Simplifying the square root:

T_y = √(2^3 * A^3)

= √(2^3) * √(A^3)

= 2 * A^(3/2)

Now, we can express the ratio of the orbital periods as:

T_y / T_x = (2 * A^(3/2)) / T_x

As we can see, the orbital period of planet y is increased by a factor of 2 * A^(3/2) compared to the orbital period of planet x.

Therefore, the factor by which the orbital period is increased from planet x to planet y depends on the value of A (the mean distance from the sun of planet x), specifically, it is 2 * A^(3/2).

Answer: 5h/3

Step-by-step explanation:

12 hours passed, and 20 degrees dropped.

Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.

Hope that helped,

-sirswagger21

Answer:

5h 3

Step-by-step explanation:

12 hours passed, and 20 degrees dropped.

Every hour, that's 20/12 = 5/3 degrees dropped. Therefore, the equation is 5h/3.

Hope that helped,

-sirswagger21

The number of pounds of blueberries and grapes sold are 11 and 22.

According to the statement

we have given that the:

Each pound of blueberries sells for $2.50 and each pound of grapes sells for $1.25.

And total money collected by selling pounds is $55

And total number of pounds sells = 33

And we have to find the Number of pounds of blueberries and grapes.

Let the number of pounds of blueberries is X

And Let the number of pounds of grapes is Y

So,

The equation becomes is:

X + Y = 33  -(1)

2.50X + 1.25Y = 55  -(2)

Now, From substitution method

From (1) equation

Y = 33 - X

put these in equation (2) then

2.50X + 1.25(33 - X ) = 55

2.50X + 41.25 - 1.25X = 55

1.25X = 13.75

X = 11

and the the value of Y becomes

Y = 33 - X

Y = 33 - 11

Y = 22.

So, The number of pounds of blueberries and grapes sold are 11 and 22.

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9514 1404 393

Answer:

  (a)  (2x +36)° +(3x +14)° = 90°

  (b)  ∠C = 38°; ∠D = 52°; ∠E = 90°

Step-by-step explanation:

(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.

  (2x +36)° +(3x +14)° = 90°

__

(b) We can collect terms, subtract 50 and ...

  5x +50 = 90 . . . . . . . collect terms, divide by °

  5x = 40 . . . . . . . . . . subtract 50

  x = 8 . . . . . . . . . .. divide by 5

∠C = (3x +14)° = (3·8 +14)° = 38°

∠D = (2x +36)° = (2·8 +36)° = 52°

∠E = 90°

_____

Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.

The perimeter of triangle is 55.

What is perimeter of triangle?

The sum of the lengths of the sides is the perimeter of any polygon. In the case of a triangle,

Perimeter = Sum of the three sides

Given, QA=5, AP=12, RB= 9.5

We know tangent drawn from external point are equal.

therefore, PA=PB

PB=12

Similarly, RB=RC, RC =9.5

QC=QA, QC =6

Perimeter of triangle = PQ+PR+QR

=6+12+9.5+12+6+9.5

=55

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Answer:

Circle

Step-by-step explanation:

Answer:

It is a circle

Step-by-step explanation:

I am really sorry if I am being rude but I have to ask. It's says that you are in collage, so how can you not know something as simple as this?

Step-by-step explanation:

The total price of sneakers including tax will be equal to $20.75.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Price of sneakers = $20

Tax on sneakers = 3.75%

Then, the amount of tax will be,

(20 × 3.75)/100

= 75/100

= $0.75

Then, the total price of the sneakers will be,

$20 + $0.75

= $20.75

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Answer:

B

Step-by-step explanation:

Monthly Payment Formula

\(\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}\)

where:

Given:

\(\implies \sf PMT=\dfrac{195000(0.066)(1+0.066)^{360}}{(1+0.066)^{360-1}}\)

a.) A triangle is equal to 2 squares.

b.) For this triangle it is equal to 3 circles

c.)  Each star is 1 circle

"Your name" solved this by for example question a, splitting the squares on right's into two sections of 2 and 2 which helped me understand that one triangle is equal to 2 squares