White gold is made from gold, palladium, nickel and zinc in the ratio 15:2:2:1. A white gold ring contains 9g of gold. What is the mass of the ring?​

Answer:

See details below:

Step-by-step explanation:

We can start with the biggest factors and work our way down to see how arrive at 4 * 25.

In this case, the first part of the tree would be 50 * 2.

2 is prime, but 50 is not and thus must be factored.

Two possible factors of 50 are 2 and 25.

The 25 is not a prime number and must be factored further.

Two possible factors of 25 are 5 and 5.

Thus, the prime factorization of 100 is 2*2*5*5.

Then to simplify, we can combine the similar factors:  (2*2) * (5*5) = 4*25

I hope this makes sense

Answer:

(0, -22)

Step-by-step explanation:

       The y-intercept is the value of y when x is 0,

f(x) = -x² + 10x - 22

f(0) = -(0)² + 10(0) - 22

f(0) = - 22

                  The y-intercept is -22 at point (0, -22).

-> We can also see this when graphing, please see attached.

Note: If you want me to solve for f(x) = -x² + 10x - 12 as you wrote in text and not f(x) = -x² + 10x - 22 as the picture shows, let me know.

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

Answer:

$1331 compounded annually after three years

Step-by-step explanation:

Given the following question:

1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....

Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]

Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.

Hope this helps.

Answer:

122 and 58

Step-by-step explanation:

Answer:

(a)  144 ft

(b)  2 s

(c)  5 s

(d)  128 ft

Step-by-step explanation:

[tex]h(t) = -16t^2 + 64t + 80[/tex]

Part (a)

To find the turning point of the parabola:

1. differentiate the function:

[tex]\implies h'(t) = -32t + 64[/tex]

2. Set it to zero and solve for t:

[tex]\implies h'(t) =0[/tex]

[tex]\implies -32t + 64=0[/tex]

[tex]\implies 32t = 64[/tex]

[tex]\implies t=2[/tex]

3. Input found value of t back into the function and solve for h:

[tex]\implies h(2) = -16(2)^2 + 64(2) + 80=144[/tex]

Therefore, the maximum height reached by the ball is 144 ft

Part (b)

As found in part (a), the maximum height is reached when t = 2, so the ball reached its maximum height at 2 seconds.

Part (c)

The ball will hit the ground when h(t) = 0

1. Set the function to zero

[tex]\implies h(t)=0[/tex]

[tex]\implies -16t^2 + 64t + 80=0[/tex]

2. Solve for t:

Divide both sides by 16

[tex]\implies -t^2 + 4t + 5=0[/tex]

[tex]\implies t^2 - 4t - 5=0[/tex]

Factor:

[tex]\implies t^2 +t-5t - 5=0[/tex]

[tex]\implies t(t+1)-5(t+1)=0[/tex]

[tex]\implies (t+1)(t-5)=0[/tex]

Therefore:

[tex](t+1)=0 \implies t=-1[/tex]

[tex](t-5)=0 \implies t=5[/tex]

As time is positive, t = 5

So the ball will hit the ground at 5 seconds.

Part (d)

To find the height of the ball after 1 second, input t = 1 into the function and solve for h:

[tex]\implies h(1) = -16(1)^2 + 64(1) + 80=128[/tex]

Therefore, the height of the ball after 1 second is 128 ft

--------------------------------------------------------------------------------------

Parts (a) & (b) - alternative method

Rewrite the function in vertex form by completing the square.

Set the function to zero:

[tex]\implies-16t^2 + 64t + 80=0[/tex]

Subtract 144 from both sides:

[tex]\implies -16t^2+64t-64=-144[/tex]

Factor out -16:

[tex]\implies -16(t^2 - 4t +4)=-144[/tex]

Factor expression in brackets:

[tex]\implies -16(t-2)^2=-144[/tex]

Add 144 to both sides:

[tex]\implies -16(t-2)^2+144=0[/tex]

Therefore:

[tex]\implies h(t)=-16(t-2)^2+144[/tex]

The maximum height is the y-value of the vertex.

The vertex is (2, 144) so the maximum height is 144 ft.

The time the ball reached the max height is the x-value of vertex.

So the time then the ball reached the maximum height is 2 s

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

а. 5

b. 180(5-3)=540

,..,,..,.,.,

Considering the volume of a cone, it is found that:

The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

More can be learned about the volume of a cone at https://brainly.com/question/14281550

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

[tex]r = \sqrt{100} [/tex]

r= 10 ft

[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

Answer:

the answer is 1323. i took the quiz on k12 and this was the answer

Step-by-step explanation:

hi

1323

bye (disco lovely_jinni #2028

Answer:

150

Step-by-step explanation:

since a circle is 360 degrees, add up all of the other degrees and then subtract from 360

Answer:

0.02 seconds

Step-by-step explanation: A 70kg man jumps 1.00 meters down onto a concrete walkway. His downward motion stops in 0.02 seconds.

Answer:

1.25m

Step-by-step explanation:

v=u+gt

5=0+10t

5=10t

t=0.5s

s=ut+1/2gt^2

=0+(0.5×10×(0.5)^2)

=1.25m

Answer:

3rd

Step-by-step explanation:

Answer: graph 3

Step-by-step explanation:

Answer:

508,000 in 11 years

Step-by-step explanation:

3.75% of 360,000 is 13500

So every year the population grows 13500 people

13500 * 11 = 148,500

148,500+360,000=508,000

So in 11 years the population would be 508,000

Answer:

susan is correct

Step-by-step explanation:

2+12+4+18+24+32=108

108 divided by 7=54

my reasoning is that the formula is add all and divide by how many numbers you added

Answer:

36

Step-by-step explanation:

For the largest possible whole number length, this means it would have to be the longest side. Let's let this third side have a length of x.

By the triangle inequality theorem, 19+18>x, which means x<37.

So, the largest possible whole number length for the third side is 36.

Answer:

the answer is (5g+4h)(5g-7h)

Step-by-step explanation:

25g^2-15gh-28h^2

=(25g^2+20gh)+(-35gh-28h^2)

=5g(5g+4h)-7h(5g+4h)

=(5g+4h)(5g-7h)

keeping in mind that in a rhombus all sides are equal, Check the picture below.

The perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

A rhombus is a two-dimensional shape with four straight, equal sides and parallels opposite pairs.

This form is similar to a diamond and is what you'd expect to see on a deck of cards to symbolize the diamond suit. Rhombuses can be found in a variety of settings in everyday life.

We have:

The length of the diagonals of the rhombus is 24 cm and 18 cm

As we know in the rhombus the diagonals intersect at the right angle so it makes a right-angle triangle.

So half of the right-angle 24 cm will be perpendicular to the right-angle triangle and half of the 18 cm will be the base of the right-angle triangle.

a = 24/2 = 12 cm

b = 18/2 = 9 cm

From the Pythagoras theorem the length of the hypotenuse:

[tex]c = \sqrt{12^2+9^2}[/tex]

c = 15 cm

Now the perimeter will be:

The perimeter of the rhombus = 4(15) = 60 cm

Thus, the perimeter of the rhombus is 60 cm if the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively.

Learn more about the rhombus here:

https://brainly.com/question/22825947

#SPJ4

Answer:

82 degrees

Step-by-step explanation:

Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.

82 DEGREES

Answer:

C) 390

Step-by-step explanation:

Area of Blue:

18 × 25 = 450 in

Area of White:

6 × 10 = 60 in

450 - 60 = 390

Therefore, 390 sq in is the correct answer.

Using the z-distribution, it is found that the 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

The other parameters are given by:

[tex]n = 90, \pi = \frac{12}{90} = 0.1333[/tex]

Then, the bounds of the interval are found as follows:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 - 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.041[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1333 + 2.575\sqrt{\frac{0.1333(0.8667)}{90}} = 0.2256[/tex]

The 99% confidence interval is (0.041, 0.2256), and it means that we are 99% sure that the population proportion is in this interval.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests:  22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests:  22 × 5 = 110 appetizers served

Difference = total dinner appetizers  - total lunch appetizers

                  = 110 - 66

                  = 44

The value in the sequence closest to 300 is 310

Arithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term

the first term a = 30

common difference, d = 40

which term is closest to 300 we solve like this

300 / 40 = 7.5 say 7

the 7th term, T7 is solved by

T7 = a + ( n - 1 ) d

T7 = 30 + ( 7 - 1 ) 40

T7 = 30 + 240

T7 = 270

checking for the 8th term to confirm the nearest

T8 = T7 + d = T7 + 40

T8 = 270 + 40

T8 = 310

therefore the 8th term is closest and the value is 310

Read more on Arithmetic sequence here:

https://brainly.com/question/7882626

https://brainly.com/question/6561461

Answer:

2 hours

Step-by-step explanation:

4.5 - 2.5 = 2

Hav ean amazing day!!

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Step-by-step explanation:

[tex]volume = \pi {r}^{2}h[/tex]

[tex]695 = 3.14 \times {r}^{2} \times 11.5[/tex]

[tex] {r}^{2} = 19.2[/tex]

[tex]r = \sqrt{19.2} = 4.3[/tex]