The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02

Given:

The equation is:

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

To find:

The exponential equation of the given logarithmic equation.

Solution:

We have,

[tex]\log_{(x-2)}(x^2-4x-6)=\dfrac{4}{5}[/tex]

According to property of logarithm,

[tex]\log_ax=b\Leftrightarrow x=a^b[/tex]

Using the property of logarithm, we get

[tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex]

Therefore, the required exponential equation is [tex]x^2-4x-6=(x-2)^{\frac{4}{5}}[/tex].

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

Answer:

[tex] - 2 + 1 \\ = - 1[/tex]

Assuming this is what you asked since your question is not clear.

It is not clear what operation should be performed on -2 and 1. Please provide more information or context so that a specific answer can be provided.

It is unclear what operation you want to perform with -2 and 1. Please specify the operation (addition, subtraction, multiplication, or division) so I can provide the correct answer.

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Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

The length and width of the rectangle are 13.26 units and 6.63 units if the length of a rectangle is twice the width.

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

The length of a rectangle is twice the width. The area of rectangle 88 is square units.

As we know:

The area of the rectangle = Length×Width

L = 2W

88  = 2W × W

88 = 2W²

W² = 44

W = √44 = 6.63 units

L = 2 × Width

= 2×6.63

= 13.26 units

Thus, the length and width of the rectangle are 13.26 units and 6.63 units if the length of a rectangle is twice the width.

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Step-by-step explanation:

Step-by-step explanation:

Given the table:

Month              f(x) = Number of imports    g(x) = Number of exports

January (1)                3                                                1

February (2)             4                                                3

March (3)                  5                                                5

April (4)                     6                                                7

From the table, it is clear that:

Number of imports = number of month + 2

so

also

Number of exports  = 2(number of month) + 1

so

Therefore, the number of imports equals the number of months plus one. i.e., which is a linear function.

If we compare it with the slope-intercept form of the line

Then,

slope = m = 1

y-intercept = 2

Also number of exports equals is also a linear function.

i.e.  

Here,

slope = m = 2

y-intercept = -1

If there is some point that is equal in both the function then it can be said that they are intersecting.

A function is a relation in which each values of x have the value of y.

The key features of the functions :

Functions are equal at that point at which they are intersecting.

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Answer:

7.7

Step-by-step explanation:

For the 57° angle, d is the opposite leg, and 5 in. is the adjacent leg. The trig ratio that relates the opposite and adjacent legs is the tangent.

[tex] \tan 57^\circ = \dfrac{d}{5~in.} [/tex]

[tex] d = 5~in. \times \tan 57^\circ [/tex]

[tex] d = 7.7~in. [/tex]

Answer: 7.7

Answer:

I rhink the answer would be 273°

Step-by-step explanation:

57+180=237°

Answer:

∠ BAC = 28.5°

Step-by-step explanation:

∠ AOB = 180° - 57° = 123° ( straight angle )

OA and OB are congruent ( radii of the circle ) , then Δ AOB is isosceles with base angles congruent, that is

∠ BAC = ∠ ABO , then

∠ BAC = [tex]\frac{180-123}{2}[/tex] = [tex]\frac{57}{2}[/tex] = 28.5°

Answer:

11

Step-by-step explanation:

a + 4 when a = 7.

7 + 4 = 11

-TheUnknownScientist

Answer:

11

Step-by-step explanation:

a + 4 = ?

7 + 4 = 11

Answer:

-11

Step-by-step explanation:

When you withdraw, you take away, so it is a negative value.

Answer: -11

Answer:

Social by contact I think but I don’t

Step-by-step explanation:

Answer:

MAY BE

OLA WILL RUN 2 MILES THIS IS CORRECT OR RIGHT I THINK

A fraction is a way to describe a part of a whole. The total distance of the route Ola will run is 3(5/8) miles.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

Given the distance from the house to the park is 1(1/4) miles, while the distance from the park to the house is 2(3/8) miles, therefore, the total distance which the ola will travel can be written as,

[tex]\rm Distance = 1\dfrac14 + 2\dfrac38\\\\Distance = \dfrac{(4 \times1)+1}4 + \dfrac{(8 \times 2)+3}{8}\\\\Distance = \dfrac54 + \dfrac{19}{8}\\\\Distance = \dfrac{5\times 2}{4 \times 2} + \dfrac{19}{8}\\\\Distance = \dfrac{10}{8} + \dfrac{19}{8}[/tex]

[tex]\rm Distance = \dfrac{10+19}{8}\\\\Distance = \dfrac{29}{8} = 3\dfrac{5}{8}\ miles[/tex]

Hence, the total distance of the route Ola will run is 3(5/8) miles.

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Answer:

B. (–2, –5)

Step-by-step explanation:

Correct Answer

Answer:

The resulting matrix will be 11 * 7

Step-by-step explanation:

Given

Matrices 11 * 6 multiplied by 6 * 7

Required

The dimension of the resulting matrix

When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c

In this case:

[tex]a * b = > 11 * 6[/tex]

[tex]b * c => 6 * 7[/tex]

So, the resulting matrix will be:

[tex]a * c => 11 * 7[/tex]

Answer:

Check boxes 1 and 3

Step-by-step explanation:

Answer:

Scale Factor:1/3

A(-6,0)->A'(-2,0)

B(-3,-3)->B'(-1,-1)

C(-9,-6)->C'(-3,-2)

This scale factor is reduced

Scale Factor:2

A(-6,0)->A'(-12,0)

B(-3,-3)->B'(-6,-6)

C(-9,-6)->C'(-18,-12)

This scale factor is enlarged

Answer:

answer is unidentified 50/0

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

the area of the squared is 5 * 5 = 25

the area of the triangle is 1/2*base*height = 1/2*2*5= 5

the area of the circle is  [tex]\pi[/tex][tex]r^{2}[/tex] = [tex]\pi[/tex][tex]2.5^{2}[/tex] = 19.625

now add the pieces up for the total

25+5+19.625 = 49.625 [tex]in^{2}[/tex]

:)

First, find the area of the semi-circle.

A= pi*radius squared

Find your radius. The diameter is 5, half of that is 2.5

Input into the formula

A= pi*2.5^2

  =3.14*6.25

  =19.625 in^2

You can round that to about 19.6 inches.

Find the area of the square

A=s^2

 = 5^2

 = 25 in^2

Find the area of the triangle.

A= b*h/2

 = 2*5/2

 = 10/2

 = 5 in^2

Add it all up.

19.6+ 25 + 5= 49.6

∴ 49.6 in²

Best of luck!

Answer:39.8

Step-by-step explanation:

Tan0 = O/A

Tan0= 15/18

0= tan-1(15/18)

0= 39.8

Answer:

9

Step-by-step explanation:

group like terms

27=3y

27/3=y

9=y

Answer:

y=9

Step-by-step explanation:

2y+27=5y

-2y       -2y

27=3y

3     3

9=y

Answer:

9.948

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠A = 180° - B - C = 0.59341 rad = 34°

a = b·sin(A)/sin(B) = 6.71031

c = b·sin(C)/sin(B) = 9.94845

Answer:

5.2

Step-by-step explanation:

[tex]\frac{17}{13} = \frac{x}{4}[/tex]

To solve for x, we want to isolate x. To do this, we need to multiply both sides by 4.

[tex](\frac{4}{1})(\frac{17}{13}) = x[/tex]

Multiply the numerators and the denominators separately.

4 • 17 = 68

1 • 13 = 13

[tex]\frac{68}{13} = x[/tex]

Divide.

68 ÷ 13 = 5.23

Round to the nearest tenth.

5.2

Hope this helps!

Answer:

5.2

Step-by-step explanation:

Note the equal sign. This means that these two fractions are proportional. First, find common denominators. Note that what you do to the denominator, you do to the numerator:

[tex]4 * 13 * (\frac{17}{13}) = (\frac{x}{4}) * 4 * 13\\\\4 * 17 = x * 13\\\\68 = x * 13[/tex]

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 13 from both sides:

[tex]68 = x * 13\\\\(68)/13 = (x * 13)/13\\x = 68/13\\x = 5.2[/tex](rounded to the nearest tenth).

5.2 is your answer.

~

Answer:

[tex]36u+18w-6[/tex]

Step-by-step explanation:

Given the expression:

[tex]-6(-6u-3w+1)[/tex]

First, we have to understand that the problem would like us to distribute the [tex]-6[/tex] into the terms inside the parentheses.

Multiply each term inside the parentheses by [tex]-6[/tex]:

[tex]36u+18w-6[/tex]

-

We can check our solution by factoring out the expression:

(The greatest common factor will be placed outside the parentheses.)

[tex]-6(-6u-3w+1)[/tex]

Since the above expression matches the initial expression, our solution is correct!

Answer:

[tex] = > - 6( - 6u - 3w + 1)[/tex]

[tex] = > 36u + 18w - 6[/tex]

Answer:

21 dollars

Step-by-step explanation:

Answer:

6 pieces.

Step-by-step explanation:

A candy bar is  a value of 1.

1/10 = 0.1

0.6/0.1 = 6

Step-by-step explanation:

Three coordinates of triange are given to us and we need to find its perimeter . We know that perimeter is the sum of all sides . Lets find the distance between each sides using distance formula .

• Distance between A and B :-

[tex]\tt\to D_{(AB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AB)} =\sqrt{(3-2)^2+(4-4)^2}\\\\\tt\to D_{(AB)} =\sqrt{( 1^2+0^2 )} \\\\\tt\to D_{(AB)} =\sqrt{1} \\\\\tt\to \boxed{\orange{\tt D_{(AB)} = 1\ units }}[/tex]

_________________________________

• Distance between A and C :-

[tex]\tt\to D_{(AC)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(AC)} =\sqrt{(3-2)^2+(4+4)^2}\\\\\tt\to D_{(AC)} =\sqrt{( 1^2+8^2 )} \\\\\tt\to D_{(AC)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(AC)} = \sqrt{65}\ units }}[/tex]

_________________________________

• Distance between C and B :-

[tex]\tt\to D_{(CB)} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\tt\to D_{(CB)} =\sqrt{(3-3)^2+(4+4)^2}\\\\\tt\to D_{(CB)} =\sqrt{( 8^2+0^2 )} \\\\\tt\to D_{(CB)} =\sqrt{65} \\\\\tt\to \boxed{\orange{\tt D_{(CB)} = \sqrt{65}\ units }}[/tex]

Hence the total perimeter will be ,

[tex]\to\tt D_{(AB)}+D_{(BC)}+D_{(CA)}\\\\\tt\to \sqrt{65}+\sqrt{65}+1 \\\\\tt\large\to\underline{\boxed{\green{\tt 1 +2\sqrt{65} \:\:units }}}[/tex]

Answer:

M1 and M2 money have several definitions, ranging from narrow to broad. M1 = coins and currency in circulation + checkable (demand) deposit + traveler's checks. M2 = M1 + savings deposits + money market funds + certificates of deposit + other time deposits.

Step-by-step explanation:

Answer:

x = 360 - 49 - 136 - 69 = 106°

Answer:

D

Step-by-step explanation:

It cant be a because theres also dots in the right too

it cant be b because they are not far from the median and not skewed right

it cant be c because no way in HELL THAT LOOKS SYMMETRICAL

so its d cause they are literally all over the place