13. Write a function with a zero of 1/2. Explain how you know.

ANSWER

[tex]x = 75.5 \degree[/tex]

EXPLANATION

Lines WO and WX are tangents to the circle.

The angle subtended at the center, Z by minor arc XO is the angle subtended at the circumcenter by the same arc.

Therefore the central angle is 2x°.

The two radii ZX and ZO meets the tangents at right angles.

This implies that:

[tex]2x + 90 + 90 + 29 = 360 \degree[/tex]

Or

[tex]2x + 29 = 180 \degree[/tex]

[tex]2x = 180 - 29[/tex]

[tex]2x = 151[/tex]

Divide both sides by 2

[tex]x = \frac{151}{2} = 75.5[/tex]

The value of x using the quadratic equation is 0.00139. When adjusting exponential notations, move the decimal left or right, depending on whether the exponent is positive or negative. Verifying precision to a certain number of decimal places can be achieved by altering the increment and observing changes beyond the desired precision.

To find the value of x when using the quadratic equation, we have two potential solutions, which are x= -0.0024 and x= 0.00139. In practical applications, a negative result may not be viable, which indicates that x would equal to 0.00139. When dealing with exponential notation, moving the decimal to adjust for the exponent is necessary. For instance, 4.5 x 10¹ would become 0.45 when the decimal is moved one place to the left. Similarly, 1.6 x 10² would adjust to 160 by moving the decimal place to the right two places. Conversely, a negative exponent like in 2.4 x 10⁻² requires moving the decimal to the left twice to get 0.024. Understanding this concept is crucial when working with numbers written in scientific notation.

If we're verifying to three decimal places and see a change beyond the third decimal (such as with Ax=10⁻⁵ resulting in 1.00001), we can deduce that the initial three decimal places are indeed accurate. Hence, an answer like 1.00001 confirms that 1.000 is valid up to three decimal places. Additionally, using Newton's method can improve approximations, such as refining an initial estimate of the solution to tan x = x from about 4.5 to a more precise six decimal places.

Answer:

B. I belive ^_^

Step-by-step explanation:

Answer:

The third answer choice.

Step-by-step explanation:

If a function has more than one ordered pairs with the same x value (in this case it is x= 4), then it cannot be a function :)

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}m+n=5&\text{subtract}\ n\ \text{from both sides}\\5m+5n=25\end{array}\right\\\\\left\{\begin{array}{ccc}m=5-n&(1)\\5m+5n=25&(2)\end{array}\right\qquad\text{put (1) to (2):}\\\\5(5-n)+5n=25\qquad\text{use the distributive property}\\\\(5)(5)+(5)(-n)+5n=25\\\\25-5n+5n=25\qquad\text{cancel}\ 5n\\\\25=25\qquad\bold{TRUE}[/tex]

Answer:

the 23.7 ounce bottle is the better price because the 14.2 ounce bottle is $0.35 and the 23.7 ounce bottle is $0.29.

Step-by-step explanation:

you simply divide the cost by the ounces and get the unit price

To find the unit price for each size, divide the cost of the shampoo by the number of ounces. The 23.7-ounce bottle is the better buy based on the lower unit price.

To find the unit price for each size, divide the cost of the shampoo by the number of ounces in each bottle. For the 14.2-ounce bottle, the unit price is $0.35 per ounce ($4.98 / 14.2). For the 23.7-ounce bottle, the unit price is $0.29 per ounce ($6.97 / 23.7).

To determine which size is the better buy based on the unit price, compare the unit prices. Since the 23.7-ounce bottle has a lower unit price ($0.29 per ounce) compared to the 14.2-ounce bottle ($0.35 per ounce), the larger size is the better buy.

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Answer:

Step-by-step explanation:

The only solution is x=2

5(2x-3)=5

Divide each term by 5 and simplify

2x−3=12x-3=1

Move all terms not containing x

to the right side of the equation.

2x=42x=4

Divide each term by 2

x=2

Answer:

The given solution has only one solution which is x=2

Step-by-step explanation:

Given the equation

[tex]5(2x-3)=5[/tex]

we have to find the solution of above equation.

Equation is

[tex]5(2x-3)=5[/tex]

Divide by 5 throughout the equation

[tex]2x-3=\frac{5}{5}=1[/tex]

[tex]2x-3=1[/tex]

Adding 3 on both sides

[tex]2x=4[/tex]

Dividing throughout by 2, we get

[tex]x=\frac{4}{2}=2[/tex]

Hence, the given solution has only one solution which is x=2

To make a line plot, plot all the numbers you see. Then plot how many of each number you see. For example, there are 4 one's in the data, so draw 4 x's above 1. I hope this helps!

14/16

Then reduced it would be

7/8 you leave 16 and add 11 to 3 and get that number

Since the denominators are the same, add the numerators. 3 + 11 = 14 so the new fraction is 14/16. Divide the numerator and the denomintor by 2 (because 2 goes into both evenly) to get 7/8

Hope this helps!

Answer:

D.) 42 cubes

Step-by-step explanation:

Instead of counting each cube, you can find the volume.

The formula to find volume is ( Volume = Length x Width x Height)

                                                  ( V= 2 x 7 x 3)

2 x 7 x 3 = 42 cubes

I hope this helped you ; )

Answer:

21

Step-by-step explanation:

Answer:

392

Step-by-step explanation:

Squares get really big very quickly, so you don't want to use any bigger numbers. The biggest total of the squares would be from

using

1 and 28

1+28

2=1+784=785

2 and 27=4+729=733

142+14

2=196+196=392

The greater the difference between the two numbers, the bigger one of the numbers is going to be.

Therefore use two numbers with the smallest difference between them which will be

14 and 14

The minimum value of sum of their square is 392.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the Bigger no. = x

Let the Smaller no. = y

x - y = 28 (given)

(x - y)^2 = 28^2

x^2 + y^2 - 2xy = 784

x^2 + y^2 = 784 + 2xy

Let the value of x = 14 and y = -14 (By trial and error)

Hence, the minimum value of sum of squares will be 14^2 + 14^2 = 392.

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It’s is 35968.1 since you need to find the radius since area=pie time the radius squared, so divide 214 by 2 to get 107 then multiply pie time 107 to the second power to get 35968.1

Answer: First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

Step-by-step explanation:

First consider the case that ‘just’ 5 persons are seated around a round table.

Clearly, ‘just’ 5 persons can be seated around a round table in (5 - 1)! = 4! = 24 ways.

Now, one vacant chair is to be inserted among them.

Say, for a particular sitting arrangement ‘ABCDE’; there are 5 scopes available for inserting the vacant chair - between A and B, between B and C, between C and D, between D and E & between E and A.

So, there are 5*24 = 120 ways available that 5 persons can sit around a round table with 6 chairs.

Answer:(5/4,0)

Step-by-step explanation:

For this case we have the following equation:

[tex]39.7 + b + 30.1 = 165.288[/tex]

We must find the value of the variable "b":

We follow the steps below:

We add similar terms:

[tex]39.7 + 30.1 + b = 165.288\\69.8 + b = 165.288[/tex]

We subtract 69.8 on both sides of the equation:

[tex]b = 165.288-69.8\\b = 95,488[/tex]

Thus, the value of b is 95,488

Answer:

[tex]b = 95,488[/tex]

Answer:

x¹⁰y¹⁵

Step-by-step explanation:

Expression: (x²y³)⁵

When a number to a power is multiplied by another power, then the exponents are multiplied. e.g. (a⁴)⁶ = a²⁴

So here, for x, the exponent is 2 * 5 = 10, and for y, it is 3 * 5 = 15.

So that gives us (x²y³)⁵ = x¹⁰y¹⁵

Answer:

[tex]y=2\sin (x-\pi)[/tex]

Step-by-step explanation:

The sine graph has an amplitude of 2.

The period of this function is [tex]2\pi[/tex]

The graph is obtained by shift the graph of [tex]y=\sin x[/tex] [tex]\pi[/tex] units to the right.

Among the given equations, the only function which has these properties is

[tex]y=2\sin (x-\pi)[/tex]

The correct answer is option A

Answer:

1 x 1,000,000 + 9 x 100,000 + 4 x 10,000 + 8 x 1,000 + 4 x 100 + 4 x 10 + 7 x 1

Hope I helped : )

Step-by-step explanation:

The place value chart can help us to write a number in expanded notation.

When we put 1,948,447 into the place value chart, we can recognize that our number is equal to 1 million + 9 hundred thousands + 4 ten thousands + 8 thousands + 4 hundreds + 4 tens + 7 units.

[tex]x2y + z = 9 \\ \\ 1. \: x + 2y + z + - 2y = 9 + - 2y \\ x + z = - 2y + 9 \\ 2. \: x + z + - z = - 2y + 9 + - z \\ x = - 2y - z + 9 \\ \\ \\ x + y - z = 5 \\ \\ 1. \: x + y - z + - y = 5 + - y \\ x - z = - y + 5 \\ 2. \: x - z + z = - y + 5 + z \\ x = - y + z + 5 \\ \\ \\ 3x - y + 2z = 12 \\ 1. \: 3x - y + 2z + y = 12 + y \\ 3x + 2z = y + 12 \\ 2. \: 3x = y - 2z + 12 \\ 3. \: \frac{3x}{3} = \frac{y - 2z + 12}{3} \\ x = \frac{1}{3} y + \frac{ - 2}{3} z + 4[/tex]

Answer:

1. [tex]1. (\frac{5}{16}) (-2) (-4) (\frac{-4}{5})= -2 \\2. (2\dfrac{3}{5}) (\frac{7}{9})=(\frac{91}{45})\\3. (\frac{2}{3})(-4)(9)= -24\\4. (\frac{-3}{4}) (\frac{7}{8})=(\frac{-21}{32})[/tex]

Step-by-step explanation:

These are simple multiplication questions of fractions. We multiply numerator with numerators and denominators with denominators. If numerator and denominator is both divisible by same number we can divide them for simplification.

1. [tex](\frac{5}{16}) (-2) (-4) (\frac{-4}{5})[/tex]

[tex]=(\frac{-10}{16}) (-4) (\frac{-4}{5})\\=(\frac{40}{16}) (\frac{-4}{5})\\=(\frac{-160}{80}) \\dividing\,\, numerator\,\, and\,\, denominator\,\, by\,\, 80\,\,\\= -2[/tex]

2. [tex](2\dfrac{3}{5}) (\frac{7}{9})[/tex]

Converting mixed form into fraction form,

[tex]=(\frac{13}{5})(\frac{7}{9})[/tex]

Multiplying numerators with each other and denominators with each other

[tex]=(\frac{13*7}{5*9})\\=(\frac{91}{45})[/tex]

3. [tex](\frac{2}{3})(-4)(9)[/tex]

Multiplying these terms with each other:

[tex]=(\frac{2*-4}{3})(9)\\=(\frac{-8}{3})(9)\\=(\frac{-8*9}{3})\\=(\frac{-72}{3})\\[/tex]

Dividing numerator and denominator with 3

[tex]=-24[/tex] 

[tex]4. (\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3}{4}) (\frac{7}{8})\\=(\frac{-3*7}{4*8})\\=(\frac{-21}{32})[/tex]

Answer:

Part a) A'B'=15 units, B'C'=12 units, A'C'=21 units

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) calculate the length of each side of the dilated image

we know that

To calculate the length of each side of the dilated image, multiply the scale factor by the original length

we have

scale factor=1.5

so

A'B'=AB*1.5=10*1.5=15 units

B'C'=BC*1.5=8*1.5=12 units

A'C'=AC*1.5=14*1.5=21 units

Part b) draw the new image and label it a'b'c

The graph in the attached figure

This problem involves the uses of the Pythagorean Theorem as well as the use of Sine.

To start we need to identify what we know and what we don't know. We know that there are two triangles. We are given 2 sides lengths and an angle in one and only an angle in the other. They share one side meaning when we are given 2 sides in one triangle it will be easy to get the third side. What we don't know is the side length of CB DB or CD. We need to find CB in order to find CD.

Pythagorean Theorem for side length CB:

12^2-6^2=√108

√108=10.4 (average)

So CB is equal to 10.4

Sine Calculation for side length CD:

Since we have angle 56* we will use the length we found which will be the opposite side from the angle and then input x for our hypotenuse CD in order to solve.

sin 56* = 10.4/x

sin 56* × x = 10.4/x × x

sin 56*x = 10.4

/sin 56*      /sin 56*

x = 12.544....

or 12.6 (average)

So, to conclude, our answer for CD is 12.6cm.

Hope I helped!

Answer:

12.7 cm

Step-by-step explanation:

Given information: AB=6cm AC=12cm.

Pythagoras theorem: In a right angle triangle

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

Using Pythagoras in triangle ABC we get

[tex](AC)^2=(AB)^2+(BC)^2[/tex]

[tex](12)^2=(6)^2+(BC)^2[/tex]

[tex]144-36=(BC)^2[/tex]

[tex]108=(BC)^2[/tex]

Taking square root on both sides.

[tex]\sqrt{108}=BC[/tex]

Law of sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using law of sin we get

[tex]\dfrac{CD}{\sin (90)}=\dfrac{\sqrt{108}}{\sin (55)}[/tex]

[tex]\dfrac{CD}{1}=\dfrac{\sqrt{108}}{\sin (55)}[/tex]         [tex][\because \sin 90^{\circ}=1][/tex]

[tex]CD=12.6866616739[/tex]

Approx the data to three significant figures.

[tex]CD\approx 12.7[/tex]

Therefore, the length of CD is 12.7 cm.

Answer:

[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

Step-by-step explanation:

That's a complex expression, let's simplify it, step by step, off the start, we'll simplify the 55/11:

[tex]\sqrt{ \frac{55 x^{7} y^{6} }{11 x^{11} y^{8} } } = \sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } }[/tex]

Then we'll simplify the x's and y's:

[tex]\sqrt{ \frac{5 x^{7} y^{6} }{x^{11} y^{8} } } = \sqrt{ \frac{5}{x^{4} y^{2} } }[/tex]

Let's split the square root in two and solve the bottom part:

[tex]\sqrt{ \frac{5}{x^{4} y^{2} } } = \frac{\sqrt{5} }{\sqrt{x^{4} y^{2}} } = \frac{\sqrt{5} }{x^{2} y}[/tex]

The solution is then:

[tex]\frac{\sqrt{5} }{x^{2} y}[/tex]

The expression which is equivalent to the given expression is:

          [tex]\dfrac{\sqrt{5}}{x^2y}[/tex]

We are given a expression as:

     [tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}[/tex]

Now we know that:

[tex]55=11\times 5[/tex]

Hence, we get:

 [tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{11\times 5x^7y^6}{11x^{11}y^8}[/tex]

which is written as:

[tex]\sqrt{\dfrac{5x^7y^6}{x^{11}y^8}}[/tex]

Also, we know that if n>m

Then

[tex]\dfrac{a^m}{a^n}=\dfrac{1}{a^{n-m}}[/tex]

Hence, we have the expression as:

[tex]=\sqrt{\dfrac{5}{x^{11-7}y^{8-6}}}\\\\\\=\sqrt{\dfrac{5}{x^4y^2}[/tex]

This could be given as:

[tex]=\dfrac{\sqrt{5}}{\sqrt{x^4}\sqrt{y^2}}[/tex]

Now, we know that:

[tex]\sqrt{x^4}=\sqrt{(x^2)^2}=x^2\\\\and\\\\\sqrt{y^2}=y[/tex]

Hence, we get that:

[tex]\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt{5}}{x^2y}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

Option A, By investing in goods and services

, is the right answer.

Step-by-step explanation:

Option A, investing in goods and services is the correct answer because the investment on goods and services will generate employment in the country and person will be able to earn more and consequently the expenditure will also increase. Moreover, if there will be more production of goods and services then the country’s GDP and economy will boost.

There is a 46% chance of a female patient having type-O blood

Answer:

19.6

Step-by-step explanation:

The question is slightly ambiguous. The data tells us that the number of females with O blood is 140.

I think you take this out of the entire population which is 714

The % is (140 / 714)   *  100 = 19.61%

I wouldn't bet on these numbers being accurate.

Answer:

15/2 in³

Step-by-step explanation:

The formula for the vol. of a pyramid

is

V = (1/3)(area of base)(height of pyramid)

Here, the volume is:

V = (1/3)( [1/2][5 in][9 in] )·(10 in)

   = (9/3)(5/2)(10) in³

    =  450/6 in³   =   150/2 in³  =  75 in³     Volume of the pyramid

Answer:

Step-by-step explanation:

The formula of a volume of a pyramid:

[tex]V=\dfrac{1}{3}BH[/tex]

B - area of a base

H - height

In a base we have the right triangle with legs 9in and 5in.

The formula of an area of a right triangle:

[tex]A=\dfrac{ab}{2}[/tex]

ab - legs

Substitute:

[tex]B=\dfrac{(5)(9)}{2}=\dfrac{45}{2}\ in^2[/tex]

The height H = 10 in.

Calculate the volume:

[tex]V=\dfrac{1}{3\!\!\!\!\diagup_1}\left(\dfrac{45\!\!\!\!\!\diagup^{15}}{2\!\!\!\!\diagup_1}\right)(10\!\!\!\!\!\diagup^5)=(1)(15)(5)=75\ in^3[/tex]

Let's use the point-slope formula...

y-y1=m(x-x1)

m is the slope.

y--9=7(x--2)

Subtracting a negative number is the same as adding a positive number...

y+9=7(x+2)

y+9=7x+14

Let's subtract 9 from both sides...

-9+y+9=7x+14-9

y=7x+5

The formula is now in the format of...

y=mx+b

This is known as slope-intercept.

m is the slope.

b is the y-intercept, the value of y when x=0.

Standard formula is...

Ax+By=C

Neither A nor B equal zero.

A is greater than zero.

y=7x+5

Let's move 7x to the left side of the equation.  It becomes negative.

-7x+y=5

Let's multiply both sides by -1 to render A greater than zero.

-1(-7x+y)=(5)(-1)

7x-y=-5

This is the equation in standard form.

[tex]

\text{d stands for distance between two points} \\

d(A, B)=\sqrt{(\Delta{x})^2+(\Delta{y})^2} \\

\text{or simply} \\

d(A, B)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

\text{now put in the data} \\

d(A, B)=\sqrt{(-2-15)^2+(9-9)^2} \\

d(A, B)=\sqrt{(-17)^2} \\

d(A, B)=\boxed{17} \\

[/tex]

The process of rounding 895,472 to the nearest 100,000 involves examining the ten thousands place of the number. Given it's 9, the number is rounded up to 900,000.

The question is asking to round the number 895,472 to the nearest 100,000. To do this, you should look at the ten thousands place of the number, which is 9. If this digit is 5 or greater, round the hundreds of thousands place up. If it is less than 5, round down. In this case, since the ten thousands place is 9, we round 800,000 up to 900,000. Therefore, 895,472 rounded to the nearest 100,000 is 900,000.

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Answer:

96

Step-by-step explanation:

a^2 + 8^2 = 10^2

a^2 = 36

a = 6

6 * 16 = 96

Answer:

The answer is going to be D) . 14

Step-by-step explanation:

Hello!

Answer:

D

Step-by-step explanation:

7.2.11 = 11.t

14.11 = 11.t

154 = 11.t

14 = t

Answer: [tex]x=\frac{89}{3}[/tex], or [tex]29\frac{2}{3}[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\6x+2-2=180-2\\6x=178[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6\\\frac{6x}{6}=\frac{178}{6}\\[/tex]

[tex]x=\frac{89}{3}[/tex]

Hope this helps and have a great day!!!

Answer:

x = 29 2/3

Step-by-step explanation:

6x + 2 = 180

6x = 180 - 2

6x = 178

x = 178 ÷ 6

x = 89/3

x = 29 2/3

Answer:

Step-by-step explanation: