A positive real number is 4 more than another. When -8 times the smaller is added to
the square of the larger, the result is 61. Find the numbers

Work Shown:

y = a*b^x

y = 70*(1.15)^x

y = 70*(1.15)^5

y = 140.795003125

It will consume about 140.795 acres on day 5

Answer:

The answer is "75.627"

Step-by-step explanation:

Please find the correct question in the attached file.

The mean displacement force among all connectors throughout the population calculates the point estimation.

\(\bold{ \bar x= \frac{\text{Sum of observation}}{\text{Amount of observations}}}\)

   \(= \frac{1966.88}{26}\\\\=75.627\)

Complete Question

Complete Question is attached below

Answer:

\(UCL= 0.25\)

Step-by-step explanation:

From the question we are told that:

Sample size\(n=150\)

Sample Variants \(s=7\)

Sigma control limits  \(Z = 3\)

Therefore

Total number of observations is Given as

\(T_o=n*s\)

\(T_o=150 *7\)

\(T_0=1050\)

Generally

Summation of defectivee

\(\sum np=23+34+15+30+25+22+18\)

\(\sum np= 167\)

Generally the equation for P-bar is mathematically given by

\(P-bar=\frac{\sum np}{T_o}\)

\(P-bar=\frac{167}{1050}\)

\(P-bar=0.16\)

Therefore

\(Sp=\sqrt{\frac{P-bar(1-P-bar)]}{ n}}\)

\(Sp=\sqrt{\frac{[0.159(1-0.159)]}{150}}\)

\(Sp=0.03\)

Generally the equation for 3-sigma upper control limit of the process is mathematically given by

\(UCL = P-bar + Z*Sp\)

\(UCL= 0.16 + 3*0.03\)

\(UCL= 0.25\)

Answer:

Option B. is the right choice.

Step-by-step explanation:

f(-3) = 3  and f(3) = 5   (First and the last column of table B)

Best Regards!

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

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The Isosceles triangle length of a² will be equal to (32 - 16√2).

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

A triangle that has at least two sides of equal length is said to be isosceles. Sometimes it is stated to have exactly two sides that are the same length, while other times it is stated to have at least two sides that are the same length, with the latter version mentioning the equilateral triangle as an exception.

It is given that in an isosceles triangle abc has a=π/4 and b=c=4. Then the value of a² will be calculated as below:-

Using the cosine formula to calculate the value of a².

a² = b² + c² -2bc cosФ

a² = 16 + 16 - 2(4)(4)cos(π/4)

a² = 32 - ( 32 x {√2/2})

a² = 32 - 16√2

Therefore, the length of a² will be equal to (32 - 16√2).

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Answer:

4^2(2-root2)

Step-by-step explanation:

Answer:

b. (-8, -2)

Step-by-step explanation:

Reflection across the x-axis

(x, y) ---> (x, -y)

B'(- 8, 2) ---> B( - 8, -2)

The coordinates of the pre image of B is (-8,-2) by studying the given graph.

The given figure ABCD is reflected across the x-axis to create the figure A'B'C'D'.

By referring the graph we can say that the coordinate of B' is (-8,2)

The reflected point will have y coordinate's sign changed as the figure is reflected across x-axis.

Thus the pre image of B' will be (-8,-2)

Hence the coordinates of the pre image of B' is (-8,-2)

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Answer:76

Step-by-step explanation:

The volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.

Given information:

Tyler has two cube-shaped storage spaces in his apartment building, one large and one  small.

The small storage space has a volume of 12 cubic ft.

One side of the large storage  space is 4 feet long.

Let a be the side of the smaller cube. The value of a can be calculated as,

\(a^3=12\\a=2.289\)

The side of the larger cube will be,

\(b=a+4\\b=2.289+4\\b=6.289\)

So, the volume of the larger cubical space will be calculated as,

\(V=b^3\\=6.289^3\\=248.8\)

The total volume of both the spaces will be,

\(248.8+12=260.8\)

Therefore, the volume of larger storage is 248.8 cubic ft and the total volume of both the storages is 260.8 cubic feet.

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Answer:

fg(x) = 3x² + 1

Step-by-step explanation:

fg(x)

f(3x² - 1)

(3x² - 1) + 2

3x² + 1

The value of the required function is \((3x^{3} + 6x^{2} - x - 2)\).

A function represents the relation between two sets. The first one is called domain and the second one is called range.

Two given functions are:

\(f(x) = x + 2 \\g(x) = 3x^{2} - 1\)

Therefore the required function,

\((fg)(x)= f(x)g(x) \\= (3x^{2} - 1)(x + 2)\\= 3x^{3} - x + 6x^{2} - 2\\ = 3x^{3} + 6x^{2} - x - 2\)

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Answer:

7/25

Step-by-step explanation:

2/5 x 7/10 =14/50 divide by 2/2 = 7/25

The red curve in the figure below is a hyperbola.

A hyperbola is an open curve with two branches, the intersection of a plane with both halves of a double cone.

If a double-napped cone is sliced by a plane that intersects both naps of the cone, a hyperbola is formed.

The red curve in the figure below is a hyperbola.

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The surface area of the composite solid is about 39 square feet to the nearest hundredth.

The surface area of the composite solid need to break it down into its component shapes and calculate their surface areas separately then add them up.

From the given dimensions we can see that the composite solid consists of a rectangular prism with dimensions 3 ft by 4 ft by 2 ft and a pyramid with a square base of side 3 ft and a height of 2 ft.

The surface area of the rectangular prism is the sum of the areas of its six faces.

The top and bottom faces are rectangles with dimensions 3 ft by 4 ft and the four side faces are rectangles with dimensions 3 ft by 2 ft or 4 ft by 2 ft.

The surface area of the rectangular prism is:

2(3 ft × 4 ft) + 2(3 ft × 2 ft) + 2(4 ft × 2 ft) = 24 ft²

The surface area of the pyramid is the sum of the areas of its five faces. The base is a square with an area of 3 ft × 3 ft = 9 ft².

Each of the four triangular faces has an area of (1/2) × base × height, where the base is 3 ft and the height is 2 ft.

The surface area of the pyramid is:

9 ft² + 4(1/2)(3 ft × 2 ft) = 15 ft²

The total surface area of the composite solid is the sum of the surface areas of the rectangular prism and the pyramid:

24 ft² + 15 ft² = 39 ft²

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Answer:

Step-by-step explanation:

The answer in exponent form is 147x^29.

A scientific notation is a method of expressing very large numbers in the form of exponent.

In the given question, we have;

(7x^9)^2*3x^11

applying the law of indices,

(7x^9)^2*3x^11 = (7^2)*x^(9*2)*3x^11

                        = 49x^18*3x^11

                        = (49*3)*x^(18+11)

                        = 147x^29

Thus, the expression can be simplified as: 147x^29.

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Answer:

460

Step-by-step explanation:

4 tens is equivalent to 40, so 500-40 is = to 460.

Hope this helps! :D

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\(\large \bold {ANSWER}\)

\(\large \bold {SOLUTION}\)

5 hundreds is 5 multiplied by 100, so it equals 500. 4 tens is 4 times 10, so 40.

So 5 hundreds minus 4 tens is 460.

Answer:

1.4 x 10^6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

You want to keep the same value, and ADD the sales tax

If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

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Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)

Answer:

The 2 is 200

The 3 is 3000

The 1 is 1

And if needed

The 6 is 60

Step-by-step explanation:

2 is in hundredths place

3 is in thousand place

6 is in tens place

1 is in ones place

hope this helps

Answer:

Hope this helps

Step-by-step explanation:

AC=DF

AB+BC=DE+EF

*BC=DE*

AB+DE=DE+EF

AB=EF

AB = EF can be proved by using the following from the given figure:

- AB + BC = AC

- DE + EF = DF

- AC = DF

- BC = DE

Given,

AC = DF

BC = DE

We need to prove AB = EF.

If there is a point in between two points of a line:

M________N______________0

MN + N0 = MO

We have,

A_________B______C

D____E___________F

Now,

Putting the condition of a point between two points.

We get,

AC = AB + BC _____(1)

DF = DE + EF ______(2)

Prove AB = EF.

From (1) and (2)

AC = AB + BC _____(1)

DF = DE + EF ______(2)

And,

AC = DF ______(3)

This means (1) = (2)

AB + BC = DE + EF ______(4)

BC = DE ______(5)

From (5), (4) can be written as:

AB + BC = BC + EF  ______(6a)

or

AB + DE = DE + EF _____(6b)

Cancel out the common from both sides.

We get,

AB = EF

Thus using the equation (1), (2), (3), (4), and (5) we can prove AB = EF.

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Answer:

D

Step-by-step explanation:

It's D for sure

like - - = +

Answer:

D

Step-by-step explanation:

-(-x)=+(x)

--x=+x(x isn't -)

--x=-x(x=minus)

The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks

The amount of distance that Vanessa covers for a week = 4 miles

The amount of weeks it will take for her to cover 96 moles would be = ?

That is;

1 week = 4 miles

X weeks = 96 miles

Make X the subject of formula;

X = 96× 1/4

= 24 weeks

Therefore Vanessa will be able to cover 96 miles in only 24 weeks.

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Answer:$6,000

Step-by-step explanation:

Answer:

80 butterfly kits

Step-by-step explanation:

417+63 = 480

480/6 = 80

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.