which anwser shows the best approximation of \( \sqrt[]{2} \)\( + \)\( \sqrt[]{7} \)1. 3.82. 3.03. 4.24. 3.0

Answer:

32

Step-by-step explanation:

width- 48/12= 4

(12+4)2

=32

hope that helps if it does plese mark as brainliest.

Answer:

\(\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}\)

Step-by-step explanation:

\(g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1\)

\(g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}\)

Answer:

4 1/10 when u have a inproper fraction like that every 10 is one whole number

Answer:

The 1st word problem.

Step-by-step explanation:

In the second word problem, the beginning elevation is -60 meters. The ending elevation is a forest with an elevation of 60 meters.

The question asks how much higher the elevation where Hayley goes camping than the elevation of desert shores.

Hayley's elevation=60 meters

Desert Shore's elevation = -60 meters.

60-(-60) = 60+60 = 120

The first word problem asks for the elevation where Hayley is going camping.

Hayley's elevation is Deserts shore's elevation + 60.

DSE= -60

-60+60=0

The first answer is correct.

This represents $0.19 per ounce which is the same as 19 cents per ounce.

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

Explanation:

To find the unit rate, we divide the cost over the number of ounces

(3.79 dollars)/(19.5 ounces) = 0.19435897 dollars per ounce approximately

Round this to the nearest cent, i.e. hundredth, to get 0.19 dollars per ounce. This is the same as saying "19 cents per ounce".

Answer: 0.19

Step-by-step explanation: I had no idea, I searched it up online. Sorry!

The height of the television transmission tower is approximately 1298 feet.

The height of the television transmission tower, we can use trigonometry and the concept of tangent.

Let's denote the height of the tower as h.

We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

The height of the tower is the opposite side and the length of the shadow is the adjacent side.

Using the tangent function, we can set up the following equation:

tan(48.3°) = h / 1130

To solve for h, we can multiply both sides of the equation by 1130:

1130 × tan(48.3°) = h

Using a calculator, we find:

h ≈ 1130 × 1.1477

≈ 1297.601 feet

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Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

Answer:

As in explanation.

Step-by-step explanation:

A) SSE means "Error Sum of Squares". The source of it is the sum of squared deviations within groups.

B) SSTR means "Treatment Sum of Squares". It's source is the weighted sum of squared deviations of group means from grand mean. It's the sum of squares between groups.

C) SST means "Total Sum of Squares''. It's source is total sum of squared deviations from the grand mean. It is a sum of SSE and SSTR.

A) SSE means "Error Sum of Squares". The source of it is the sum of squared deviations that lies within groups.

B) SSTR means "Treatment Sum of Squares". It's source that represents the weighted sum of squared deviations of group means from the grand mean. It's the sum of squares between groups.

C) SST means "Total Sum of Squares''. It's source that represents total sum of squared deviations from the grand mean. It is a sum of SSE and SSTR.

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The volume of the composite figure in this problem is given as follows:

76 ft³.

The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:

Volume = length x width x height.

The figure in this problem is composed by two prisms, with dimensions given as follows:

Hence the volume is given as follows:

2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.

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f(x)=-5x+3

Replace x by 4 and solve:

f(4) = -5(4)+3

f(4)= -20+3

f(4)= -17

The value of x in the equation 3/5(4x+1)=3(2-4x)+9 is

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root. Examples are x3 + 1 and (y4x2 + 2xy – y)/(x – 1) = 12.

3/5(4x+1)=3(2-4x)+9

multiply through by 5

3( 4x+1) = 15(2-4x) + 45

12x +3 = 30-20x +45

collect like terms

12x+20x.= 30+45-3

32x = 72

x = 72/32

x = 2 8/32

x = 2 1/4

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Answer:

The left table's answers are  5, 30, and 60.

The right table's answers are 20, 36, and 22.5

And the bottom table's answers are 32, 12, and 40

Hope that helps!

Answer:

500 after 1 minute

250 after 2 minutes

125 after 3 minutes

62.5 after 4 minutes

31.25 after 5 minutes

Step-by-step explanation:

Not sure if this is what you needed.

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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Answer:

Step-by-step explanation:

Equation of a parabola is represented by,

f(x) = -a(x - h)² + k [Parabola opening downwards]

where (h, k) is the vertex of the parabola.

Picture attached shows the vertex as (-1, -2)

Therefore, equation of the transformed parabola will be,

f(x) = -a(x + 1)²- 2

Since the given parabola passes through a point (1, -3)

-3 = -a(1 + 1)² - 2

-1 = -4a²

a = \(\sqrt{\frac{1}{4} }\)

a = \(\frac{1}{2}\)

Therefore, equation of the transformed function will be,

f(x) = \(-\frac{1}{2}(a+1)^2-2\)

If the original or parent function is g(x) = x²,

Transformed function will have the following characteristics,

1). Function will have vertex as (-1, -2) opening downwards.

2). Graph passes through (-3, -3) and (1, -3).

3). Reflection across x-axis.

4). Translation of 2 units down and 1 unit to the left.

5). Horizontal stretch by a factor of 2.  

Using translation concepts, it is found that these following transformations happened:

The parent function \(y = x^2\) points upward and has vertex at (0,0).

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The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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Answer: (4,0)

Step-by-step explanation:

Answer:

D. x ≤ 5

Step-by-step explanation:

The closed circle means greater than or equal to (≤) or less than or equal to (≥). The open circle is greater than (<) or less than (>).

And since the circle is closed and the arrow is going to the right, than x is either greater than 5 or equal to 5

Step-by-step explanation:

john put 25 dollars in a jar and his wife put 35 dollars in the savings jar as well so save for there trip coming up

Answer:

Sally borrowed twenty-five dollars from Alex to buy a movie at the store. Later, she borrowed another thirty-five dollars to buy ride tickets at the state fair. How much money does she owe Alex?

Step by-step explanation:

When you have an even number of negative numbers in an equation, the answer will always be positive. When there's an odd number of negative numbers, the answer will be negative. For a problem like this, you can ignore the negative signs and focus on the numbers. 25+35 is 60, so Sally owes Alex 60 dollars.

                  Hope this helps!

Answer:

\sqrt(12) hope this helped.

Answer:

D

Step-by-step explanation:

Answer:

1 adult = 16 students

a = 16x

Step-by-step explanation:

Step-by-step explanation:

1)

Take 12x as a common factor

12x(3x-2)

12 since both 36 and 24 are divisible by 12

2)

Take 12x as a common factor again

12x(x-2)

3)

Take 15x as a common factor

15x(3x²-2)

3x²-2 can be written as the difference of 2 squares

15x(√3 x+√2)(√3 x-√2)

Answer:

\(12x(3x-2); 12x(x-2); 15x(3x^2-2)\)

Step-by-step explanation:

Look at the coefficients of the first espression. 36 and 24 are both multiples of 12. We can collect 12x from both and we get

\(36x^2-24x=12x(3x-2)\)

Second, 12 and 24 are obviously one twice the other, the common factor is again 12x:

\(12x^2-24x = 12x(x^2-2)\)

Third polynomial: this time the greatest common divisor of 45 and 30 is 15. Let's collect 15x from either

\(45x^3-30x=15x(3x^2-2)\)

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

Strawberry 10% D

Step-by-step explanation:

percentage of chocolate is approximately 60% since it is covering more than half of the circle.

Now we have 3 parts left

as we can see Strawberry and Mint seem similar in size so they are gonna be equal, while vanilla is bigger than both of them.

60+?+?+?=100

hence strawberry is 10, mint is 10, chocolate is 60, vanilla is 20.

Solving the given logarithmic equation, it is found that the horn is 100 times more intense compared to the weakest sound heard to the human ear.

The equation is given by:

\(d = 10\log{\frac{p}{p_0}}\)

In which:

In this problem, we have that d = 20, and we have to solve the logarithmic equation for p to find how many times more intense the sound is:

\(d = 10\log{\frac{p}{p_0}}\)

\(20 = 10\log{\frac{p}{p_0}}\)

\(\log{\frac{p}{p_0}} = 2\)

The logarithm is inverse of the function \(10^x\), hence we apply the function to both sides to find the ratio.

\(\frac{p}{p_0} = 10^2\)

\(\frac{p}{p_0} = 100\)

Hence, the horn is 100 times more intense compared to the weakest sound heard to the human ear.

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