Mrs. Fisk, the art teacher, has 5 pounds of clay. Each of her students need 1/4 pound to complete their current project. How many students can she supply with clay?

Answer:

c.

Step-by-step explanation:

Answer:

3^6z

Step-by-step explanation:

you multiply 6 and z since they are exponets and one is in a (

Answer:

3 to the power of 6z of 3^6z

Step-by-step explanation:

Answer:

a) [tex]S(t) = 42(0.9995)^t[/tex]

b) It will take 10,692 years.

Step-by-step explanation:

Exponential function to determine the amount of substance:

An exponential function to determine the amout of substance after t years is given by:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

(a) Write an equation to determine the amount of substance, S, left after t years.

Half-life of 1300 years means that [tex]A(1300) = 0.5A(0)[/tex].

We use this to find r. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]0.5A(0) = A(0)(1-r)^{1300}[/tex]

[tex](1-r)^{1300} = 0.5[/tex]

[tex]\sqrt[1300]{(1-r)^{1300}} = \sqrt[1300]{0.5}[/tex]

[tex]1 - r = 0.9995[/tex]

[tex]r = 0.0005[/tex]

Sample of 42 grams means that [tex]A(0) = 42[/tex]. So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

Replacing A by S, just for notation purposes

[tex]S(t) = 42(0.9995)^t[/tex]

(b) Approximately how long will it take for 0.2 grams of substance to remain (to the nearest year)?

This is t when [tex]S(t) = 0.2[/tex]. So

[tex]S(t) = 42(0.9995)^t[/tex]

[tex]0.2 = 42(0.9995)^t[/tex]

[tex](0.9995)^t = \frac{0.2}{42}[/tex]

[tex]\log{(0.9995)^t} = \log{\frac{0.2}{42}}[/tex]

[tex]t\log{0.9995} = \log{\frac{0.2}{42}}[/tex]

[tex]t = \frac{\log{\frac{0.2}{42}}}{\log{0.9995}}[/tex]

[tex]t = 10692[/tex]

It will take 10,692 years.

Answer:

The answer is 1,101.

Step-by-step explanation:

1.101 ^ 2 = 11.01

And 1.101 ^ 4 = 11,010.

Step-by-step explanation:

1 multiplied by 7

3;4=21:28

2) multiplied by 8

1:5= 8:40

3)divided by 4

2:3= 8:12

4) multiplied by 6

12/42= 2/7

5) multiplied by 5

4/9= 20/45

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

Answer:

Various types of Congruency are:

1. ASA (Angle Side Angle)

2. SSS (Side Side Side)

3. SAS (Side-Angle-Side)

4. AAS (Angle-Angle-Side)

5. RHS (Right angle-Hypotenuse-Side)

As of what I had learned (class 9) this is all but I am not sure if there are more

Answer:

$75 * $35 = $2,625

Step-by-step explanation:

75 * 35=2625

Answer:

8 possible outcomes

Step-by-step explanation:

Answer:

8 is correct!!

Step-by-step explanation:

Answer:

20 m

Step-by-step explanation:

4(3+2) = 20

Answer:

angle 5 and angle 6 are adjacent angles, all adjacent means is directly next to each other, another example would be 6 and 1; 1 and 2; 2 and 3, etc

and example of vertical angles would be 6 and 3, they basically form an x, another example is 5 and 2, 1 and 4, etc

an examples of angles that would qualify as neither would be 1 and 3, they are not next to one another, thus they are not adjacent, and they do not form an x so they are not vertical, another example would be 5 and 3

Answer:

0.5152

Step-by-step explanation:

Answer:

[tex]\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}[/tex]

Step-by-step explanation:

[tex]1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}[/tex]

Answer:

y= ax+mb

Step-by-step explanation:

Answer:

there is no image

Step-by-step explanation:

Answer:

D. 2x+71=180

Step-by-step explanation:

Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:

76+(x-5)+x=180

2x+71=180

Answer:The absolute error is that they said that the finance charge will be $12.22 but the charge ends up being $19.54 . As for the relative error is that they said that the charge will be $12.22 but the charge was $19.54 which means they were unsure what the charge was and failed to check what it actually was.

Step-by-step explanation:

Answer:

D & E

Step-by-step explanation:

The volume πr^2*height/3=1471

π*r^2=1471/9*3

π*r^2=490.33(I'm rounding all my numbers to the hundredths digit)

r^2=490.33/3.14(taking 3.14 for pi)=about 156.16

r= sqrt 156.16=about 12.5

Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!

It ia 16 espero ter ajudado

Answer:

7

Step-by-step explanation:

Answer:

mira ami me aparece cien

Step-by-step explanation:

pues creo que no es

Solution :

[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]

                [tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]

               = 0.0836

P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)

     [tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]

    [tex]$=0.0836+0.0684+0.0294$[/tex]

    [tex]$=0.1813$[/tex]

P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]

          [tex]$=\frac{0.0836}{0.1813}$[/tex]

         [tex]$=0.4611$[/tex]

Answer:

70

Step-by-step explanation:

Answer:

A= 6/8 gallons

Answer:

10 children

Step-by-step explanation:

Answer:

21/40.

Step-by-step explanation:

Find the LCD (Least Common Denominator) of the fractions. The LCD of 5/8 and 1/10 is 40.

Convert both fractions into denominators of 40.

So then we have: 25/40 - 4/40 which is equal to: 21/40.

21/40 is the estimated value of the expression  5/8 -1/10

A number system is defined as a system of writing to express numbers.

The given expression is 5/8 -1/10

The terms in the expression are in the form of fractions, A fraction represents a part of a whole.

To find the value of expression firstly find the LCM of 8 and 10

40 is the LCM

5(5)-1(4)/40

25-4/40

The value of 25 minus 4 is twenty one.

21/40 is the value of the expression  5/8 -1/10

Hence, 21/40 is the estimated value of the expression  5/8 -1/10

To learn more on Number system click:

https://brainly.com/question/22046046

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