red was rotated to form blue
describe the rotation

Answer:

30 miles is the actual distance.

Step-by-step explanation:

3 3/4 = 15/4

15*2=30

Both the Red and Yellow lines are lines of symmetry, Option D is correct.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Lines of symmetry in a figure are lines that divide the figure into equal parts.

The given figure is a square as we observe the four sides are equal in the given shape.

In a square, there are four lines of symmetry, each of which divides it into two identical parts.

The symmetry lines of a square are both its diagonals and the lines joining the midpoints of its opposite sides (bisectors).

In the given Figure, the Red lines cuts the shape into 2 equal halves vertically and the Yellow line cuts the shape into 2 equal halves diagonally.

Hence, both the Red and Yellow lines are lines of symmetry, Option D is correct.

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Answer:

[tex]x^{-\frac{2}{7} }[/tex]

Step-by-step explanation:

→ Add the powers together

[tex]x^{\frac{3}{7} {-\frac{5}{7} }[/tex]

→ Simplify

[tex]x^{-\frac{2}{7} }[/tex]

The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

x³ + 4x² > x + 4

Then the inequality can be written as

x³ + 4x² – x – 4 > 0

Then the factor will be

x²(x + 4) – 1(x + 4) > 0

       (x² – 1)(x + 4) > 0

(x – 1)(x + 1)(x + 4) > 0

Then the solution will be

x – 1 > 0

     x > 1

x + 1 < 0

    x < -1

x + 4 > 0

     x > -4

Then the correct option is C.

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Answer:

132

Step-by-step explanation:

6 angles plug in for n

(n-2)*180

4*180

720 degrees in all

subtract all other angles

Answer:

Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Create the dot plots (see attached diagrams)

Online customers: blue dots

Walk-in customers: red dots

To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.

[tex]\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4[/tex]

[tex]\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8[/tex]

Online:  4.4 rounds down to 4

Walk-in:  1.8 rounds up to 2

Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Find average of both customers

Online :-

Offline

option C

Answer:x = 6 , y = 18

Step-by-step explanation:

To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.

To graph this situation we must take into account the data we have:

Based on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.

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Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.

the correction option is a). f(x) > 0

The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]  Which is an exponential function. The domain of the  give function is (-∞, ∞).

The function which is in format f(x) =  [tex]a^{x}[/tex] where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

the Question seems to be incomplete. And options could be
a) f(x) > 0              c) f(x) ≤ 0
b) f(x) < 0              d) f(x) ≥ 0

Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]      
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]

clearly, the range of the exponential function is f(x) > 0.

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Answer:

20.4 years (nearest tenth)

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for t:

[tex]\implies \sf 15000=6000\left(1+\frac{0.045}{12}\right)^{12t}[/tex]

[tex]\implies \sf \dfrac{15000}{6000}=\left(1.00375\right)^{12t}[/tex]

[tex]\implies \sf 2.5=\left(1.00375\right)^{12t}[/tex]

[tex]\implies \sf \ln (2.5)=\ln \left(1.00375\right)^{12t}[/tex]

[tex]\implies \sf \ln (2.5)=12t \ln \left(1.00375\right)[/tex]

[tex]\implies \sf t=\dfrac{\ln (2.5)}{12 \ln (1.00375)}[/tex]

[tex]\implies \sf t=20.40017123[/tex]

Therefore, it would take 20.4 years (nearest tenth) for the investment to reach $15,000.

Answer: 30 buttons

Step-by-step explanation:

If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15).  Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30).  This is assuming no other buttons were used on the snowmen for anything else

Answer:

d) 150%

Step-by-step explanation:

[tex]x=25*300\%=25*3=75\\[/tex]

[tex]y=25\%*40+40=50[/tex]

[tex]x/y*100\%=75\div50*100\%=150\%[/tex]

Answer:d

150%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given polynomials:

(6x+7+x²)+(2x²-3)

Solution:

Removing brackets,

Collecting like terms,

Simplifying ,

Done!

Hence option 3 is correct.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:  ax² + bx + c = 0.

The given expression is;

(6x+7+x²)+(2x²-3)

Now add the like term in the given expression,

⇒   x² + 2x² + 6x + 7 - 3

⇒ 3x² + 6x + 4

Hence,

The sum of polynomial is 3x² + 6x + 4.

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If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.

Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.

If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:

if 125 is 11% then 1% will be 125/11

then 100% will be 125/11*100

=12500/11

=1136.36

=1136 Approx

Hence 1136 villages are totally present worldwide which need help financially.

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Answer:

search it up ok that's all you can do

Answer:

70 cm2??

Step-by-step explanation:

The area of the rectangle: 50 cm2

The area of the triangle: About 20 cm2

50 cm2 + 20 cm2 +

Answer:

4 is the answer

Step-by-step explanation:

you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.

The length of the rectangle is 60 feet and the width of the rectangle is 45 feet.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W square units

A farmer’s rectangular pen has an area of 2,700 square feet, and the width is 15 feet shorter than the length.

L = W + 15

Then we have

2700 = W(W + 15)

W² + 15W - 2700 = 0

W² + 60W - 45W - 2700 = 0

(W + 60)(W - 45) = 0

W = 45, -60

Then the dimension of the rectangle will be

W = 45 feet

L = W + 15

L = 45 + 15

L = 60 feet

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The rational exponent form of the given expression is b³. The correct option is the second option b³

From the question, we are to determine the rational exponent form of the given expression

The given expression is

[tex]\sqrt{b^{6} }[/tex]

From one of the laws of indices, we have that

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

Thus,

[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]

= [tex]b^{3}[/tex]

∴√b⁶ = b³

Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³

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Step-by-step explanation:

please mark me as brainlest

Answer:

f(x) = -2x+1

Step-by-step explanation:

See attached image

The equation of line will be;

⇒ f (x) = - 1/2x + x

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (- 4, 3) and (4, -1).

Now,

Since, The equation of line passes through the points (- 4, 3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (3)) / (4 + 4)

m = - 4 / 8

m = - 1/2

Thus, The equation of line with slope - 1/2 is,

⇒ y - (3) = - 1/2 (x + 4)

⇒ y - 3 = - 1/2x - 2

⇒ y = - 1/2x + x

Therefore, The equation of line will be;

⇒ f (x) = - 1/2x + x

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Answer:

okay

Step-by-step

no of yards they cut in an hour

Jacob = 2 yard

jenny 3/4 of a yard

no of yards it will take jenny to cut 3 yards =  4 hours

Answer:

rounded is $207.66

Step-by-step explanation:

you start by doing 349(0.30) which would be 104.7

349-104.7=244.3

next you do 244.3(.15)=36.645

244.3-36.645= $207.655

Answer:

f(x) must be shifted 6 units down in order to produce the graph of g(x).

Answer:

Like terms are mathematical terms that contain the same variables. We combine like terms, because it simplifies algebraic expressions.

Closure property is the term for when you add or multiply two whole numbers together, and the result is always just a whole number. It is related to adding, subtracting, and multiplying polynomials, because when something is closed, the output will result in being the same type of object as the inputs.

Step-by-step explanation:

Like terms: When combining like terms, we add their coefficients. For instance, if we have 3y and 4y, we get 7y. That is because we added (3+4) to get 7, and plugged in the variable "y".

Closure property: Adding, subtracting, or multiplying two polynomials will output a polynomial.

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

An equation is an expression that shows the relationship between two or more numbers and variables.

Plotting the graph using geogebra online graphing tool.

The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).

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The correct answer is option B which is Sn = -111974.

When there is a constant between the two successive numbers in the series then it is called a geometric series.

Here we have the following data:-

[tex]\sum_{n=1}^7-2.6^{n-1}[/tex]

[tex]a_n = a_1r^{n-1}\ \ \ \ \ S_n = a_1(\dfrac{1-r^n}{1-r})[/tex]

Here we need to calculate the first term second term and common ratio to calculate the sum of the series.

a₁ = -2.(6¹⁻¹) = -2

a₂ = -2.( 6²⁻¹) = -2 (6) =-12

Common ratio:-

[tex]a_n = a_1r^{n-1}[/tex]

[tex]-12 = -2r^{2-1}[/tex]

r = 6

Put all the values in the sum formula:-

[tex]S_n = -2(\dfrac{1-6^7}{1-6})[/tex]

[tex]S_n = -2(\dfrac{279935}{5})=-2\times 55987[/tex]

[tex]S_n[/tex] = -111974

Therefore the correct answer is option B which is Sn = -111974.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

35 miles/hour

Step-by-step explanation:

See attached image.

Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

Since x = 5y:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

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