sine rule find the length of ac

1. The minimum number (Lower Limit) of pets one can find in the area is 1,680 pets, given the margin of error.

2. The maximum number (Upper Limit) of pets in the area will be 2,640 pets, given the margin of error.

The margin of error shows the statistical difference between actual and projected results in a random survey sample.

In other words, the margin of error reveals the level of unpredictability in research outcomes.

The statistical difference can be explained with an upper limit (maximum) and lower limit (minimum) between which the statistical value lies, thereby offering some level of confidence.

Average (mean) number of pets in each household = 1.8 pets

The margin of error = ±0.4 pets

The total number of households in the area = 1,200

Upper limit (maximum) of pets in the area = 2,640 pets (1,200 x 1.8 +0.4)

Lower limit (minimum) of pets in the area = 1,680 pets (1,200 x 1.8 - 0.4)

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What are the minimum and maximum numbers of pets you expect to find in her area?

The area of the given irregular figure is 143 square inches.

What is area of irregular figure?

We divide an irregular shape into its component common shapes before calculating its area. After that, we add the areas of each shape. For instance, if a square and a triangle make up an irregular polygon, the area of the polygon is equal to the sum of their areas.

We have to divide the given irregular figure into known shapes.

That is rectangle and square.

Rectangles with sides '7 in and 10 in' and '12 in and 4 in' and the square of side 5 in.

So, the area of irregular figure is,

Area = Area of rectangle + Area of rectangle + Area of square

= (7 x 10) + (12 x 4) + 5^2

= 70 + 48 + 25

Area = 143

Hence, the area of the given irregular figure is 143 square inches.

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This statement best describes the coefficient, 3,700 is "the amount of the initial deposit". which is the correct answer would be option (C).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The exponential function is given in the question as:

3700(1.05)^4t

This expression is for the amount that will be in the account, in dollars, after t years.

As per the question,

The coefficient, 3,700 represents the amount of the initial deposit in the given exponential function

Thus, the correct answer would be an option (C).

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Answer: y=—2/3x+2

Step-by-step explanation:

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest  y-intercept.

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also  is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

m = 8

Looking at the given options, only options that are correct are Options B and C.

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The value of  [tex]\sqrt{0.9}[/tex] is 0.94868329805. You can't get an accurate answer since the square root is an irrational quantity. But I suppose you could just make it simpler.

The value that a number produces when it is multiplied by itself is known as the square root of the number. The square root is denoted by the radical sign. For instance, 16 Equals 4. The root symbol or surds is another name for the radical symbol.

The radical symbol for the number's root is "" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number. For instance, the square of three is nine. and the square root of 9, √9 = 3.

Since, 3*3*0.1

= 9*0.1

= 0.9

[tex]\sqrt{3*3*0.1} \\[/tex]

= 3([tex]\sqrt{0.1}[/tex])

[tex]\sqrt{0.9}[/tex] ≈ 0.94868329805

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Correct Question:

What is the value of  [tex]\sqrt{0.9}[/tex]

Answer:

5

Step-by-step explanation:

[tex]\frac{7.5}{1.5}[/tex] = 5

Answer: 6 boxes of 5 markers in each box

Step-by-step explanation:

1. Consider the factors of 30

30: 1, 2, 3, 5, 6, 10, 15 and 30

2. pick any 2 that make 30

5*6=30

3. Therefore buying 6 boxes of 5 markers each should do the trick,

Hope this helps

Answer: 6 boxes of 5 markers in each box

Step-by-step explanation:

The half of the mentioned number after performing multiplication with 1/2 is 0.9375.

The half of 1.875 can be calculated by multiplying with (1/2). Half refers to two parts of one thing and hence it represented as the fraction 1/2. So, to find the half, we will multiply the mentioned number with 1/2.

Half value = 1.875 × 1/2

Now performing division and multiplication on Right Hand Side of the equation

Half value = 1.875/2

Half value = 0.9375

Thus, based on the division, the half of 1.875 is 0.9375.

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Step-by-step explanation:

Area of rectangle is length x breadth.

Area = (x + 7)(x + 5)

= (x² + 5x + 7x + 35)

= (x² + 12x + 35)

when lines l, m, and n are intersected by two transversal lines and are parallel, the value of x = 12.5 is obtained.

A transversal in geometry is a line that, at two different places, traverses two lines in the same plane. If two or more additional lines in the Euclidean plane are parallel, transversals can help determine this.

Parallel lines l, m, and n are present.

These parallel lines cross two transversal lines.

theorem of intercept

Intercept lengths between parallel lines are proportionate.

[tex]\frac{16}{x} = \frac{23}{18}[/tex]

x = (16 * 18) /23

x = 12.5

when lines l, m, and n are intersected by two transversal lines and are parallel, the value of x = 12.5 is obtained.

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when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

so the longest leg of the larger triangle will be "z" and the shorter leg of it will be "y", so let's find those fellows using proportions

[tex]\cfrac{x}{16}=\cfrac{9}{x}\implies x^2=144\implies x=\sqrt{144}\implies \boxed{x=12} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{x}=\cfrac{25}{16}\implies \cfrac{y}{12}=\cfrac{25}{16}\implies y=\cfrac{(12)(25)}{16}\implies \boxed{y=\cfrac{75}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{y}{z}=\cfrac{9}{x}\implies \cfrac{~~ \frac{75 }{4 } ~~}{z}=\cfrac{9}{12}\implies \cfrac{75}{4z}=\cfrac{3}{4}\implies 300=12z \\\\\\ \cfrac{300}{12}=z\implies \boxed{25=z}[/tex]

An expression with a square root is referred to as a radical expression.

Radical simplification:

Cube root simplification:

Rational radical simplification :

                 [tex]\frac{2}{\sqrt{5} -1} \\\\=\frac{2}{\sqrt{5} -1} *\frac{\sqrt{5}+1}{\sqrt{5}+1} \\\\=\frac{2(\sqrt{5} +1) }{4} \\\\=\frac{\sqrt{5} +1 }{2}[/tex]

Exponential radical simplification :

           [tex](5^{2} )^{3} \\=(5^{2} ) (5^{2} )(5^{2} )\\=25 *25*25\\=15625[/tex]

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The required quadratic equation which has the roots -2, and -3 is (C) x²+5x+6=0.

Any equation in algebra that can be written in the standard form where x stands for an unspecified amount, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.

Factoring, using square roots, completing the square, and the quadratic formula is the four ways to solve a quadratic problem.

So, the product of a quadratic equation's elements can be used to represent any quadratic equation.

The necessary equation is created as follows:

(x - (-2))(x - (-3)) = 0

(x + 2)(x + 3) = 0

x² + 5x + 6 = 0

Therefore, the required quadratic equation which has the roots -2, and -3 is (C) x² + 5x + 6 = 0.

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Correct question:
Form a quadratic equation whose roots are -2,-3.

(A) x² - 6x + 5 = 0

(B) x² - 5x - 6 = 0

(C) x² + 5x + 6 = 0

(D) x² - 5x + 6 = 0

Answer:

b

Step-by-step explanation:

The equation that represents the graph will be y > 3x + 2. Then the correct option is B.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

From the graph, the two points are (0, 2) and (-3, -7). The region above the line is considered, then the equation is written as,

(y - 2) > [(2 + 7) / (0 + 3)] (x - 0)

y - 2 > 3x

y > 3x + 2

The equation that represents the graph will be y > 3x + 2. Then the correct option is B.

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Answer: x < 5/3

Step-by-step explanation:

-(4x + 20) < −7(x + 15/7) ............................ Question

-4x - 20 < -7(x + 15/7) ................................ Distribute

-4x - 20 < -7x - 15 ...................................... Distribute

-4x - 20 + 20 < -7x - 15 + 20 ................... Add 20 to both sides

-4x < -7x + 5 ............................................... Simplify

-4x + 7x < -7x + 5 + 7x ............................. Add 7x to both sides

3x < 5 .......................................................... Simplify

3x / 3 < 5 / 3 .............................................. Divide both sides by the same factor

x < 5/3 ......................................................... Simplify

Answer:

B. Since [tex]\triangle ABC \cong \triangle DEF[/tex] by SSS and [tex]\triangle DEF \cong \triangle GHJ[/tex] by SAS, [tex]\triangle ABC \cong \triangle GHJ[/tex] by the Transitive Property of Congruence.

The congruent statement and the reason why the triangles are congruent is (b) Since AC ≅ GJ and CB ≅ JH, AB must be congruent to GH. So, ABC ≅ GHJ by SSS

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

Triangles = ABC, DEF and GHJ

There are several theorems that make any two triangles to be congruent

One of these theorems is the SSS congruent theorem

The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent

From the question, we can see that the following corresponding sides on the triangles ABC and GHJ have the same mark

AC and GJ

CB and JH

This implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following angles must also be congruent

AB must be congruent to GH

Hence, the congruent statement on the congruency of the triangles is (d)

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Answer:

formula: Tn=a+(n-1)d

Step-by-step explanation:

Tn=2+(n-1)2

Answer:

Option D: 7/3x

Step-by-step explanation:

Because this line passes through the origin (0,0), we know that there is know b-value according to the equation y = mx + b. To figure out the equation, we must first calculate the slope of the linear function.

Slope = △y/△x

△y (change in y) = -7

△x (change in x) = -3

Therefore, the slope is 7/3 and the equation is y = 7/3x.

As per the given dice, the probability of the total being equal to 8 is 1/9 or 11.11%.

Probability:

In statistics, probability refers the possibility of the particular event.

Given,

Here we need to find the probability of the total (when you sum up the dice) being equal to 8.

In order to calculate this probability, we must first calculate all the possible combinations of two six-sided dice that add up to 8.

Hence both the dice are showing an even number, the possible combinations are (2, 6), (4, 4), and (6, 2). the total number of possible combinations for two six-sided dice is 36 (6 x 6).

So, the probability of the total being equal to 8 is 3/36 or 1/9 or 11.11%.

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The value of a in the quadratic equation x² + 2x +4 = (x + 2)² + a( x + 2) + b is equal to -2.

We shall first expand the right hand side and express it in form of the left hand side of the quadratic equation, and then compare their coefficients to derive the value of the constant as follows;

Left hand side; {open brackets}

(x + 2)² + a( x + 2) + b = x² + 4x + 4 + ax + 2a + b

(x + 2)² + a( x + 2) + b = x² + 4x + ax + 4 + b {group like terms}

(x + 2)² + a( x + 2) + b = x² + (4 + a)x + 4 + b

such that :

x² + 2x +4 = (x + 2)² + a( x + 2) + b, then;

x² + 2x +4 = x² + (4 + a)x + 4 + b

by comparing coefficients, we have that;

4 + a = 2

a = 2 - 4 {subtract 4 from both sides}

a = -2

Therefore, for all values of x, the constant a = -2 for the quadratic equation x² + 2x +4 = (x + 2)² + a( x + 2) + b.

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Option 'a' is the correct answer.

Z0.05 represents the z-score, the value of the standard normal distribution, at which the probability of being greater than that value is 0.05. The value is Z0.05 =1.65.

In a normal distribution, data points are referred to as x, whereas in a z-distribution, they are referred to as z or z scores. A z score is a standard score that indicates how many standard deviations a given number (x) is from the mean:

Every z score has a corresponding p-value that indicates the likelihood that all values below or above that z score will occur.

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Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.

Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.

This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.

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Given a line with the equation -3x+8y=-10, its slope can be calculated using the slope intercept form of the line that is 3/8.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). A line's slope is how steeply it slopes from LEFT to RIGHT. The slope of a line is determined by dividing its rise, or vertical change, by its run, or horizontal change. No matter which two locations on the line you choose, the slope of a line is always constant (it never varies). The slope of a line in mathematics indicates how steep a line is. It is also referred to as the gradient. The "change in y" over the "change in x" of a line is referred to as the slope.

Here,

-3x+8y=-10

y=mx+c

where m=slope of line

8y=3x-10

y=3x/8-10/8

slope=3/8

The slope of given line whose equation is -3x+8y=-10 is 3/8 using slope intercept form of line.

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 x = 8 , -3 are the factor of x .

What is factor ?

The definition of a factor is a number that divides another number by itself with no remainder. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them.

                         Factors are the figures that can divide an amount precisely. There is therefore no residual after division.

x² - 5x - 24 = 0

x² - ( 8 - 3 )x - 24 = 0

x² - 8x + 3x - 24 = 0

x(x - 8 ) + 3 ( x - 8) = 0

( x + 3 ) ( x - 8 ) = 0

  x = 8 , -3

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The complete question is -

x² - 5x - 24 = 0  by factoring.

The solutions are x =

Answer:

Step-by-step explanation:

balls