Sally designed a gold bracelet using 8 thin gold circles, arranged each circle has a radius of 2.5 what is the diameter and what is the length '5cm' of the chain

Given:

The two functions are:

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

To find:

The value of [tex](h\circ g)(-6)[/tex].

Solution:

We have,

[tex]g(b)=5b-9[/tex]

[tex]h(b)=(b-1)^2[/tex]

We know that,

[tex](h\circ g)(b)=h(g(b))[/tex]

[tex](h\circ g)(b)=h(5b-9)[/tex]

[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]

[tex](h\circ g)(b)=[5b-10]^2[/tex]

Putting [tex]b=-6[/tex], we get

[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]

[tex](h\circ g)(-6)=[-39-10]^2[/tex]

[tex](h\circ g)(-6)=[-49]^2[/tex]

[tex](h\circ g)(-6)=2401[/tex]

Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.

According to the hypothesis tested, the confidence interval that would lead us to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_0: p < 0.3[/tex] is given by:

(b) (0.19, 0.27)

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

We want to reject [tex]H_0: p = 0.3[/tex] in favor of [tex]H_1: p < 0.3[/tex], hence we need an interval that is entirely below 0.3, which is given by option b.

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Answer:

Nosotros teníamos 120 dólares.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:

(i) Tu tienes la mitad de lo que tenías:

[tex]y = \frac{1}{2}\cdot x[/tex] (1)

(ii) Tendrás el triple lo que tienes:

[tex]z = 3\cdot y[/tex] (2)

(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:

[tex]x+y+z = z + 180[/tex]

[tex]x + y = 180[/tex] (3)

En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:

[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)

[tex]3\cdot y - z = 0[/tex] (2)

[tex]x + y = 180[/tex] (3)

La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].

Nosotros teníamos 120 dólares.

Answer:

0.14

Step-by-step explanation:

Here, we want to find the probability that a student earns the grade of A

Mathematically, we have this as the frequency of A divided by the sum of all frequencies

From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35

Now we place the frequency of A over this

This gives;

5/35 = 1/7 = 0.14

Answer:

check all boxes except for the last 1

Answer:

1 is the correct answer

Step-by-step explanation:

y2-y1/x2-x1=slope

-2-3/-3-2

-5/=-5

1

i dont seem to understamd

Step-by-step explanation:

To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!

Answer:

x

Step-by-step explanation:

The formula of a line in its slope-intercept form is

y= mx + b

the slope is indicated by “m” that multiply the x

Answer:

The ball will take approximately 2.165 seconds.

Step-by-step explanation:

The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:

[tex]-16\cdot t^{2}+75 = 0[/tex] (1)

[tex]16\cdot t^{2} = 75[/tex]

[tex]t = \sqrt{\frac{75}{16} }[/tex]

[tex]t \approx 2.165\,s[/tex]

The ball will take approximately 2.165 seconds.

Answer:

600

Step-by-step explanation:

Answer:

√27

Step-by-step explanation:

use the pythagorean theorem

3²+x²=6²

9+x²=36

x²=27

√x²=√27

x=√27

Answer:

where is the question

Step-by-step explanation:

chai

Answer:

F=2x +2

Step-by-step explanation:

The range of values for the certain number "x" is all real numbers less than 4.

Let's represent the certain number as "x."

The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:

2x < 8

Now, to find the range of values for "x," we need to solve for "x."

Divide both sides by 2:

x < 8/2

x < 4

So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.

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Answer:

2:4

Step-by-step explanation:

Answer:

3:6

4:8

5:10

6:12

7:14

8:16

etc...

Answer:

option a.

radius of the circle=3 units.

area of the circle= pi×r²

area of circle=pi×3²

area of circle=pi×9units²

Answer:

It's A. 9π square units.

Step-by-step explanation:

You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

Answer:

A) The unit rate is 2 inches of snow per hour.

&

E) At the same rate 12 inches of snow will fall in 6 hours.

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

did it on usatestprep

Answer:

148

Step-by-step explanation:

148 x 3 = 444

444 + 148 = 592

(っ◔◡◔)っ ♥ Hope It Helps ♥

148 hamburgers were sold on Monday.

Let x be the number of hamburgers sold.

Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.

The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:

x + 3x = 592

Combine like terms:

4x = 592

Now, solve for x by dividing both sides by 4:

x = 592 / 4

x = 148

Therefore, 148 hamburgers were sold on Monday.

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Answer:

(1) 9

(2) [tex]\sqrt{6}[/tex]

(3) 6([tex]\sqrt{6}[/tex])

Step-by-step explanation:

From the question,

(1) ([tex]\sqrt{9}[/tex])²

    Applyin the law of multiplication of surds

   ([tex]\sqrt{9}[/tex])²  = (

(2)  ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =

   Also applying the the law of multiplication of surd

   ([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) =  ([tex]\sqrt{6}[/tex]) ( This is an irational answer)

   ∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])  = [tex]\sqrt{6}[/tex]

 (3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])

     Also applying the law of multiplication of surds i.e Multiply surds to     surds and whole number to whole number

     = 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])

       6×([tex]\sqrt{6}[/tex]) = 6(

Step-by-step explanation:

anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.

Answer:

M = 75h

Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.

Answer:

hi

Step-by-step explanation:

i think so...

[tex] \sqrt{30} = 5.47[/tex]

have a nice day

Answer:

x=5

Step-by-step explanation:

7 times x

7 times 2

7x-14= 21

14+14= 21+ 14

7x=35

x=5

7 times five equals 35

Answer:

C) Impossible

Step-by-step explanation:

Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.

Answer:

5

Step-by-step explanation:

Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)

To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)

So √13² - 12² = 5