How many inches are there in 150 meters?

1 m≈39.37 in.

Answer:

-24

Step-by-step explanation:

10-s=34

collect like terms

10-34=s

s=-24

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.

What is Rotational Symmetry?

Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.

Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.

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Answer:

Perimeter = 32.3

Area = 95.24

Step-by-step explanation:

Given:

△ABC, m∠A=60°

m∠C=45°, AB = 9

To find:

Perimeter of △ABC

Area of △ABC

Solution:

Using angle sum property in a triangle:

m∠A + m∠B + m∠C = 180°

m∠B = 180° - 45° - 60° = 75°

As per Sine Rule:

\(\dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}\)

Where  

\(a\) is the side opposite to \(\angle A\)

\(b\) is the side opposite to \(\angle B\)

\(c\) is the side opposite to \(\angle C\)

\(\dfrac{BC}{sin60^\circ} = \dfrac{AC}{sin 75^\circ} = \dfrac{AB}{sin 45^\circ} \\\Rightarrow \dfrac{BC}{\frac{\sqrt3}{2}} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow BC = 12.73\times 0.87 \\\Rightarrow BC = 11.08\)

\(\Rightarrow \dfrac{AC}{0.96} = \dfrac{9}{\frac{1}{\sqrt2}} \\\Rightarrow AC = 12.73\times 0.96 \\\Rightarrow AC = 12.22\)

Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = 32.3

Area of a triangle is given as:

\(\dfrac{1}2\times ab sin(angle\ between\ a\ and\ b)\)

\(\Rightarrow \dfrac{1}{2}\times AB\times AC\times sinA\\\Rightarrow 9\times 12.22\times sin 60\\\Rightarrow \bold{95.24}\)

The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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Answer:5/5

Step-by-step explanation:

5 divided by 5 is 1

Option B

Because the average points scored in the night is more than that of the day

By definition, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

In our equation, for each x value we have exactly one corresponding y-value, therefore, the following equation

is indeed a function of x. The domain is the set of all possible inputs. The argument of a square root can't be negative, therefore, we have the following restriction:

In interval notation, our domain is:

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

Answer: 4



Step-by-step explanation:

Hello,

We need to divide polynomials, I will try to specify each step

First of all, we need to divide

\(63x^3-37x^2+77x+65\)

by

9x+5

First focus on the highest degree term, we need to multiply (9x+5) by \(7x^2\)

so that we get \(63x^3+35x^2\) this is to eliminate the term in highest degree

and then subtract to the first polynomial we got

\(63x^3-37x^2+77x+65-63x^3-35x^2=-72x^2+77x+65\)

and then we need to divide this one by (9x+5) again

\((9x+5)*(-8x)=-72x^2-40x\)

and then

\(-72x^2+77x+65-(-72x^2-40x)=117x+65\)

finally

\((9x+5)*(13)=117x+13*5=117x+65\)

so the rest is 0

Finally it comes

\(63x^3-37x^2+77x+65=(9x+5)(7x^2-8x+13) \ So\\\\\dfrac{63x^3-37x^2+77x+65}{9x+5}=7x^2-8x+13\)

hope this helps

Answer:

For the vans, you should get 14, and for the buses you should get 43

The no. of students in each van and each bus are 14 and 43 respectively.

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is NOT a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Let, The no. of students in the van be 'V' and the no. of students in the bus

be 'B'.

Rivermont High School rented and filled 11 vans and 3 buses with 283 students.

∴ 11V + 3B = 283...(i)

Washington High School rented and filled 12 vans and 14 buses with 770 students.

∴ 12V + 14B = 770...(ii)

Now, Multiplying (i) by 12 and (ii) by 11 to cancel out the variable 'V' and subtracting (i) from (ii) we get,

118B = 5074.

B = 43 and hence 11V + 3(43) = 283 ⇒ V =  14.

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Answer:

  4, 3

Step-by-step explanation:

The distributive property applies the outside factor to each term inside parentheses.

  \(8\times(4+3)=(8\times\boxed{4})+(8\times\boxed{3})\)

Answer:

A line in form of y = ax + b has the gradient a.

      2y = -6x + 1

<=> y = -3x + 1/2

=> The gradient of this line: g = -3

Hope this helps!

:)

The slope represents the gradient of the line. Then the gradient of the line will be - 3.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

2y = - 6x + 1

Convert the equation into a slope-intercept form. Then we have

2y = - 6x + 1

y = - 3x + 1/3

The slope represents the gradient of the line. Then the gradient of the line will be - 3.

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Answer:

37.5%

Step-by-step explanation:

Calculation for the probability that washing dishes tonight will take me between 10 and 13 minutes

Probability of washing dishes=(13minutes-10minutes)/(15minutes-7minutes)

Probability of washing dishes=3 minutes/8 minutes

Probability of washing dishes=0.375*100

Probability of washing dishes=37.5%

Therefore the probability that washing dishes tonight will take me between 10 and 13 minutes is 37.5%

The first step to find the quotient of a long division problem is to Divide the terms with highest degreee

A quotient is a quantity produced by the division of two numbers. For example 16/4 ,the number that is being divided (in this case, 16) is called the dividend, and the number that it is being divided by (in this case, 4) is called the divisor. The result of the division(5) is the quotient.

The step that is needed to find a quotient of a division are

1.Divide the terms with the highest degree

2.Multiply terms by the divisor

3.Place the result in the quotient

4. Subtract the product from the dividend

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Michelle's balance after two years would be $8977.50.

using the formula to find Michelle’s balance after two years:

balance = principal + (interest rate * principal * time)

where:

- principal = the initial deposit of $8750

- interest rate = 1.3% = 0.013 (as a decimal)

- time = 2 years

Substituting the values, we get:

balance = 8750 + (0.013 * 8750 * 2)

balance = 8750 + 227.5

balance = $8977.50

Therefore, Michelle's balance after two years will be $8977.50.

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Answer: y = 5x-2

Step-by-step explanation:

Knowing how to recognize congruent lines, we have Angles A&H are congruent.

Two line segments are collinear if they lie on a line. Two line segments are congruent when they have equal measures.

Parallel lines are lines in a plane that are always the same distance from each other. Parallel lines never intersect, while perpendicular lines are those that intersect at a right angle (90 degrees).

In this way, we can identify that the only lines that represent a congruent line are lines A and H.

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Answer:

5 cm

Step-by-step explanation:

The scale of the first map is 1 cm to 20 km.

15 cm on the map corresponds to what real distance?

We use a proportion to deal with the scale of the map.

1/20 = 15/x

x = 20 * 15

x = 300

15 cm on map 1 corresponds to 300 km.

The scale of map 2 is 1 cm to 60 km.

300 km real distance corresponds to what distance in map 2?

We use a proportion to deal with the scale of the map.

1/60 = y/300

60y = 300

y = 5

Answer: 5 cm

Answer: 45 (my math teacher told me, unless she is wrong)

Answer:

28.05$

Step-by-step explanation:

The game got a discount of 15%.
New price is   (30$) ( 0.85 )  =  25.5$   (since the discount is 15% you only pay for the 85% of the original price)

Then an increase of 10%. this is:
New price:   25.5$ (1.10) = 28.05

New price is 28$ with 5 cents

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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We have the following:

solving:

Answer:

Step-by-step explanation:

The vertex is at (-3, -1)  and the leading coefficient is negative ( because  the curve is inverted)

y = -a(x + 3)^2 - 1

One point on the curve is (-2, -3) so

-3 = -a(-2+3)^2 - 1

-3 = -a - 1

-a = -2

So we have

y = -2(x + 3)^2 -  1

y = -2(x^2 + 6x + 9) - 1

y = -2x^2 - 12x - 19.

Answer:

Train A speed = x + 20

Train B = x

We know the 46 minutes is 23/30 of an hour.

Use D = rt

Take it from it, hope its helped, have a great day!

The 95% confidence interval by population mean is $ 14697 to $ 25703.

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.

Standard deviation of a data set is the square root of the calculated variance of a set of data.

The formula for variance (\(s^{2}\)) is the sum of the squared differences between each data point and the mean, divided by the number of data points.

When working with data from a complete population the sum of the squared differences between each data point and the mean is divided by the size of the data set, n. When working with a sample, divide by the size of the data set minus 1, n - 1.

(a)

      \($$\begin{aligned}& \bar{x}_1=\frac{\sum x}{n}=\frac{425}{10}=42.50 \\& \bar{x}_2=\frac{\sum x}{n}=\frac{267.6}{12}=22.30 \\& s_1=\sqrt{\frac{1}{n-1}\left[\varepsilon(x-\bar{x})^2\right]}=\sqrt{48.7289}=6.98 \\& s_2=\sqrt{\frac{1}{n-1}\left[\varepsilon(x-\bar{x})^2\right.}=\sqrt{20.5418}=4.53\end{aligned}$$\)

b) Point estimate \($=\bar{x}_1-\bar{x}_2=42.5-22.3$$$\) =20.2

value in term of annual cost =20.2 × 1000 = 20200

(c) degrees & freedom

\(=\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2 \\& \frac{\left(\frac{s_1^2}{n_1}\right)^2}{n_1-1}+\frac{\left(\frac{s_2^2}{n_2}\right)^2}{n_2-1} \\\)

\($$\begin{aligned}& =\frac{\left(\frac{6.98^2}{10}+\frac{4.53^2}{12}\right)^2}{\frac{\left(\frac{\left.6.98^2\right)^2}{10}\right.}{10-1}+\frac{\left(\frac{1.53^2}{12}\right)^2}{12-1}} \\& \begin{aligned}& =14 \\t_c=t_{\frac{\alpha}{2}}, d f & =t_{0.025,14}=2.1448\end{aligned} \\& 950 C C_1=x_{1-x_2} \pm t_c \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}} \\& =20.2 \pm 2.1448 \sqrt{\frac{6.99^2}{10}+\frac{4.53^2}{12}} \\& =20.2 \pm 5.503 \\& =(14.697,25.703) \\&\end{aligned}\)

Therefore, the 95% confidence interval by population mean is $ 14697 to $ 25703.

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Reflection and Dilation.

Transformation is the process of moving an object across the coordinate plane. These transformation techniques occur by dilation, translation, or reflection.

From the question, we are to show the sequence of transformations shows that ABCD is similar to EFGH,

Since the image EFGH is a mirror image of ABCD, this shows that reflection has occurred and the reflection is along the x-axis.

Also, the quadrilateral was dilated by a scale factor after the reflection. This dilation caused the object to increase in size and shape.

Hence we can conclude from the explanation above that the sequence of transformations that shows that ABCD is similar to EFGH is reflection and dilation.

Answer:

x = 15 , y = 21

Step-by-step explanation:

using Pythagoras' identity

in Δ ABD

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take square root of both sides )

x = \(\sqrt{226}\) = 15

in Δ ADC

8² + DC² = 10²

64 + DC² = 100 ( subtract 64 from both sides )

DC² = 36 ( take square root of both sides )

DC = \(\sqrt{36}\) = 6

then

y = x + DC = 15 + 6 = 21