write 0.1 repeating as a fraction

Answer:

d.) 100

Step-by-step explanation:

To solve, first find the value of g(-2):

[tex]g(-2)=5(-2)\\g(-2)=-10[/tex]

Next, use this value to find f(-10):

[tex]f(-10)=(-10)^2\\f(-10)=100[/tex]

The maximum and minimum of Lagrange can be 1/2,1/2.

Explanation:

Maximum value = (1/2,1/2).

Minimum value = (1/2,1/2).

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The maximum and minimum of Lagrange can be 1/2,1/2.

The equation of indexes between three G subgroups is a case where Lagrange's theorem can be applied. Since e is G's identity element, if we assume K = e, [G: e] = |G| and [H: e] = |H|. The original equation |G| = [G: H] |H| can thus be found.

The equation of indexes between three G subgroups is a case where Lagrange's theorem can be applied. Since e is G's identity element, if we assume K = e, [G: e] = |G| and [H: e] = |H|. The original equation |G| = [G: H] |H| can thus be found.

Explanation:

Maximum value = (1/2,1/2).

Minimum value = (1/2,1/2).

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The pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

What is linear inequality?

A linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

y < -5x + 1

Substitute the points and see if they are true

(3, 6)

6 < -5*(3) + 1

6 < -15 + 1

6 < -14  

Not true not a solution

Hence, the pair (3, 6) is not a solution of the linear inequality y < -5x + 1.

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Answer:

x=8/9

Step-by-step explanation:

step one: move x to one side. to do this, we are going to use inverse operations which means adding 3x to both sides.

3x+-3x cancels itself out and 3x+6x=9x.

now, the equation looks like: 9x-7=1

step two: isolate the variable, x. we want to just get x to be by itself so we need to get rid of the -7 next to it by using inverse operations again. this means we're going to add 7 to both sides.

7+-7 cancels itself out and 7+1=8.

now, the equation looks like 9x=8

step three: divide to get x by itself. we want to know what x alone is, not 9x. to do this we are going to use inverse operations one last time. this means dividing each side by 9, because 9x means "9 times x".

9x/9= x, 8/9

so the answer is x=8/9

hope this helped!!

Answer:

The answer is 2990.8

Step-by-step explanation:

Answer:

volume = 980π = 3078.790801  

Step-by-step explanation:

14 ÷ 2 = 7 = radius

π x [tex]r^{2}[/tex]=  = 49π = area

area x 20 = volume

volume = 980π = 3078.790801  

ANSWER : -1 , 3 , (-1 - 2i) , (-1 + 2i)

steps

find the zeros JUST MEANS SOLVE FOR X

x⁴-2x²-16x-15=0

break it up

let u = x²

x⁴ = (x²)² = u²

-16x+u²-2u-15=0

hold off on -16x

u²-2u-15=0

what 2 numbers when multiplied give you -15 & when added give you -2?

-5 and 3

(u-5) (u+3)

-16x + (u-5) (u+3) = 0

go back x

-16x + (x²-5) (x²+3) = 0

factor -1 out

( looks horrible so far lol )

-1 ((- x²+ 5) (x²+3) + 16x) = 0

multiply (- x²+ 5) with ( x² + 3 )

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² ( x² + 3 ) + 5 ( x² + 3 ) ) + 16x ) = 0

-1 (( - x² * x² + -x² * 3 ) + 5x² + 15 ) + 16x ) = 0

-1 (( - x⁴ + -2x² + 15 ) + 16x ) = 0

The only person that is correct with respect to the measurement of  ∠CEA of the congruent triangles is; Carlos

From the diagram attached, we are given that;

The measure of ∠CAE = 80°

∠BDE = 60°

Amy says that m∠CEA = 20°

Brent says that it is 30°

Carlos says that it is 40°

Debra says it is 50°

Now, by inspection, it is clear that ΔCAE is congruent to ΔBDE by SAS Congruency postulate and as such we can say that;

∠A = ∠B and ∠C = ∠D

Thus;

∠B = 80° and ∠C = 60°

Sum of angles in a triangle is 180 degrees and so;

∠CEA = 180 - (80 + 60)

∠CEA = 180 - 140

∠CEA = 40°

Which means that Carlos is correct.

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Answer:

If the temperature cooled by 4° on the first day of the year, and then heated up 7° on the second day, the net change in temperature would be a 3° increase. This means that the temperature increased by a total of 3° over the two days.

Step-by-step explanation:

On the first day of the year, the temperature starts at a certain degree (let's call it X).

On the same day, the temperature cools by 4°. This means that the temperature becomes X - 4°.

On the second day of the year, the temperature starts at X - 4° (the temperature from the previous day).

On the second day, the temperature heats up by 7°. This means that the temperature becomes (X - 4°) + 7° = X + 3°.

The net change in temperature over the two days is X + 3° - X = 3°.

I hope this helps to clarify the example! Let me know if you have any further questions.

The equation of the line is y = x/4 + 13/2 .

A line's slope, sometimes referred to as its gradient in mathematics, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

And here we have the slope,

m = 1/4

And (x₁ ,y₁)  =  (-2,6)

then the equation of line is

y - y₁ = m (x - x₁)

y - 6 = (1/4) (x +2)

y = x/4 + 13/2

Therefore, the equation is y = x/4 + 13/2.

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The value of the expression (3x - 12) + (xy - 10) is 14.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given expression:

(3x - 12) + (xy - 10).

To find the value of expression when x = 4 and y = 6:

Substitute the value of x and y to the expression,

(3x - 12) + (xy - 10)

= {3(4) - 12} + {(4)(6) - 10}

First, we solve the parenthesis.

= {12 - 12} + {24-10}

= {0} + {14}

= 0 + {14}

=  {14}

= 14

Therefore, the value is 14.

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If two figures are the same shape and the same size, then the figures are Congruent.

Those figures that are exactly the same size and shape are said to be congruent.

Additionally, if the dimensions of one of the figures match those of its mirror image, it will also be true.

Additionally, two figures are said to be congruent if they entirely overlap when one is placed over the other and the top figure cannot be seen through the bottom.

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The statement that is correct based on the data is that the table shows a proportional relationship

From the question, we have the following parameters that can be used in our computation:

Mango Used Smoothie Size

Kim 1 8 oz

Bri 3 24 oz

Angela 4 32 oz

Express  properly

So, we have

        Mango Used Smoothie Size

Kim         1                       8 oz

Bri           3                       24 oz

Angela    4                        32 oz

Start by checking if the table has a constant rate

This is represented as

Constant rate = Smoothie Size/Mango Used

So, we have

Constant rate = 8/1 = 8

Constant rate = 24/3 = 8

Constant rate = 32/4 = 8

See that the constant rate is the same for all values

Hence, the table shows a proportional relationship

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Answer:

1. x = {-3, 3}

2. a = {-12, -2}

3. v = {-7, 10}

4. m = {-8, 8}

5. k = {-11, 1}

6. y = {-13, 19}

Step-by-step explanation:

|-2x| = 6

means that

-2x = 6     or      -2x = -6

x = -3        or      x = 3

|a + 7| = 5

means that

a + 7 = 5    or      a + 7 = -5

a = -2        or      a = -12

|8v-12| = 68

means that

8v-12 = 68     or      8v-12 = -68

8v = 80        or      8v = -56

v = 10            or      v = -7

| m / -4 | + 1 = 3

| m / -4 | = 2

means that

m/-4 = 2     or      m/-4 = -2

m = -8        or      m = 8

3|k + 5| = 18

|k+5| = 6

means that

k + 5 = 6    or      k + 5 = -6

k = 1        or      k = -11

|2y - 6| / 4 = 8

|2y - 6| = 32

means that

2y - 6 = 32     or      2y - 6 = -32

y = 19        or      m = -13

The formula to solve for height(h) is given as, if the volume of the cylinder is, V = π r² h, is h = V /  π r².

An object's volume is a measurement of the amount of space it occupies in three dimensions. This indicates that an elephant's volume is more than a mosquito's volume.

Given:

V = π r² h

Here, r is the radius of the cylinder, V is the volume, and h is the height of the cylinder. The value of π is 3.14.

Take the remaining term of the right side to the left as shown below,

V /  π r²  = h

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Answer:

a. four and thirty four thirty fifths

Explanation:

All of the polynomials listed are quadratic polynomials, which have the general form ax^2 + bx + c, where a, b, and c are constants and x is a variable. A polynomial is considered prime if it cannot be factored into the product of two or more polynomials with integer coefficients.It is not possible to determine whether any of the given polynomials are prime without further information, such as the values of the constants a, b, and c. For example, the polynomial x^2 + 7 could be prime, but it could also be factored into the product of two linear polynomials (x + 3)(x + 3), which would make it composite. Similarly, the polynomial x^2 - 25 could be prime, but it could also be factored into the product of two polynomials of the form (x + 5)(x - 5), which would make it composite. Without more information, it is not possible to determine whether any of the given polynomials are prime.

For the given congruent triangles, the values of x = -1 and y = 3.

Two triangles are congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other.

The congruence symbol is "≅".As both the triangles are congruent therefore their corresponding sides will be equal.

3y + x = y + 5 ...........(1)

y - x = x + 5 ..............(2)

Equation

1:3y + x = y + 5

3y - y = 5 - x

2y = 5 - x

x = 5 - 2y ..............(3)

Substitute this value of x in equation (2)

y - x = x + 5 y = x + x + 5y

= 2x + 5 y = 2(5 - 2y) + 5y

= 10 - 4y + 54y + y = 15

5y = 15 y = 15/ 5

y = 3

Substitute this value of y in equation (3) x = 5 - 2(3) = 5 - 6 = -1

Therefore, x = -1 and y = 3

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The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:

2y - 4x = -10.

A system of equations is called inconsistent when the number of equations of the system is of zero.

The system in this problem is composed by linear equations, which have the following format:

y = mx + b.

In which:

For inconsistent system, we have that the equations:

The function in this problem is given as follows:

y = 2x + 5.

Hence the inconsistent system is formed with:

2y - 4x = -10.

Which is simplified by 2 as follows:

y - 2x = -5.

y = 2x - 5.

Having the same slope of 2, but a different intercept.

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Answer: 2y – 4x = –10

Step-by-step explanation: trust.

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266[/tex]

Answer:(x,y)=(1/3 , 4/3)

Step-by-step explanation:

On closely observing and solving the Probability it can be stated that  the batter will hit around 3 balls out of the next nine balls

What is Probability?

The ratio of the number of outcomes in an exhaustive collection of equally probable options that create a particular event to the entire number of conceivable outcomes.

Solution:

Average of Batter is 0.303 which means that the batter hits 303 shots of 1000 balls

So, in the next nine balls he will hit 9 * 303/1000 = 2.7 balls

Which means the batter will hit around 3 balls

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The expected value and the standard error for a labor participation rate in the company's sample is 0.0043

In the given question, the labor force participation rate is the number of people in the labor force divided by the number of people in the country who are of working age and not institutionalized.

The BLS reported in February 2012 that the labor force participation rate in the united states was 66.9% (calculate risk).

A marketing company asks 120 working-age people if they either have a job or are looking for a job, or the labor force.

We have to find the expected value and the standard error for a labor participation rate in the company's sample.

Working age people sample n = 120

The labor force participation rate in the United States was 66.9% = 0.669

The Expected value is μ = p = 0.669

The standard error:

SE = √p(1-p)/n

SE = √0.669(1-0.669)/120

SE = √0.669*0.331/120

SE = √0.2214/120

SE = √0.001845

SE = 0.043

Hence, the expected value and the standard error for a labor participation rate in the company's sample is 0.0043.

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Answer:

Step-by-step explanation:

I graphed this system on Desmos because it's easier. The solution they have (the intersection- the point where they both touch at the same time-) is at point (1,9) ...

The coordinates of the vertices after a reflection over the line y = -5 is given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

The vertices of the original quadrilateral are given as follows:

T(-2,-5), U(2,-3), V(-2,-1), W(-3,-3).

The reflection line y = -5 is an horizontal line, meaning that after the reflection:

For example, the distance of the y-coordinate of the vertex U from -2 is of:

2 units above.

Then the y-coordinate of the vertex U' will be also 2 units from -5, just two units below, hence:

U'(2,-7).

Applying this rule for all the other vertices, they will be given as follows:

T'(-2,-5), U'(2,-7), V'(-2,-9), W'(-3,-7).

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Answer:

Given: △ABC, m∠A=120°, AB=AC=1 Find: The radius of circumscribed circle

Step-by-step explanation:

:]

The area of the given figure is 52.26 ft².

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

In the given question,

The radius of semicircle r = 3 ft.

Height of the triangle = 4 ft.

Lateral side of triangle = 5 ft.

And the base of triangle = 2 x 3 = 6 feet

To find the area of the given figure, individually find area of semicircle and triangle.

Area of semicircle = π x r² = 3.14 x 3 × 3 = 28.26 square feet.

Area of triangle having height 4 feet and base 6 feet.

Area of triangle = base x height = 4 x 6 = 24 square feet.

The Area of the whole figure = Area of semicircle + area of triangle

                                  = 28.26 +24

                                  = 52.26 ft²

The required area of figure is 52.26 ft².

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January has an overnight average temperature of 52.4°F, making it the coldest month in Tampa. The average daytime temperature increases to 90.0°F in August, the warmest month.

What's it like to live in Tampa, Florida?

This Florida city, which is a part of the Tampa Bay region, has reasonable housing options, wonderful tropical weather, easy access to the beach, and more, making it one of the greatest locations to live in the Southeast.

How far away from the beach is Tampa?

The beach lottery has been won by Tampa visitors. You can reach more than a dozen of the world's most stunning beaches in less than 30 minutes by car from downtown Tampa. You need only select one.

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Answer:

Step-by-step explanation: