Robert bought a 6 pack of cans of iced tea for $2.70. About how much is the unit cost for each can of iced tea?

Answer:

oy-5=1 ( x-30)

Step-by-step explanation:

jernardia is dumb as heck

Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

Ratio of number of classes and the time taken to conduct each one of them on Thursday = 6 : 8

Ratio of number of classes and the time taken to conduct each one of them on Friday = c : 4

Which means :-

6 : 8 :: c : 4

6/8 = c/4

= 6 × 4 = c × 8

= 24 = 3 × 8

c = 3

The ratio = 6 : 8 :: 3 : 4

Which means that C = 3 .

Answer:

-2/3

Step-by-step explanation:

Here, we need to rearrange the equation into slope intercept form:

[tex]2x + 3y = -12[/tex]

subtract 2x on both sides:

[tex]3y = -2x-12[/tex]

divide 3 on both sides:

[tex]y = \frac{-2}{3} x + 4[/tex]

Finally, we get it in the form y = mx + b. We know that in that form, m is the slope so that means, the slope is -2/3

Answer:

C.

Step-by-step explanation:

All the x-values are different and go to one y-value.

Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value

A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.

According to the question

Set of ordered pairs represent a function :

(-1,5), (0, -3), (2, 7), (4,0), (7, 5)

As we can observe that every point have different x value for there respective y ,

and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.

Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value

To know more about  ordered pairs in sets here:

https://brainly.com/question/12941484

#SPJ2

Answer:

1. 2.328×[tex]10^{22}[/tex]

2. 487

3. 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

1.[tex](25)^{2t}[/tex]

(sub for t=8)

=[tex]25^{2*8}[/tex]

=[tex]25^{16}[/tex]

=2.328×[tex]10^{22}[/tex]

2.[tex]2st^{2} -5^{2}[/tex]

(sub for s=4 and t=8)

=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]

=512-25

=487

3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)

FOR [tex]2s^{2} -t^{3/16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]

=32-32

=0

Answer:

f(x) is continuous on the interval [0, 1], f(0) = -2 , and f(1) = 1.718 . Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

Step-by-step explanation:

From the question we are told that

   The equation is [tex]f(x) = e^x - 3-2x [/tex]  

    The interval is  [0, 1]

Generally f(0) is  

      [tex]f(0) = e^0 - 3-2(0) [/tex]

=>   [tex]f(0) = 1 - 3-2(0) [/tex]  

=>    [tex]f(0) = -2[/tex]  

Generally f(1) is

       [tex]f(1) = e^1 - 3-2(1) [/tex]

       [tex]f(1) = e^1 - 1 [/tex]

       [tex]f(1) = 1.718 [/tex]

From the value we see that at x =  0  , f(0) =  -2 which is below the x-axis

    and  the  at  x = 1  , f(1) =  1.718  which is above the x-axis

Now  the according to Intermediate Value Theorem , given the condition stated above, there will exist a root c in the interval  such that

    f(c) =  0  

Answer:

to what

Step-by-step explanation:

i can't see the question

Given:

Total number of members = 30

Number of democrats = 12

Number of republicans = 18

To find:

Number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed.

Solution:

Total number of ways to selecting 8 democrats  from 12 democrats  is

[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]

[tex]^{12}C_8=495[/tex]

Total number of ways to selecting 8 republicans from 18 republicans  is

[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{18}C_8=43758[/tex]

Now, number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed is

[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]

[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]

Therefore, the total possible ways are 21660210.

Step-by-step explanation:

ans is 7.62

1 inch =2.54cm

2.54 multiplied by 3=7.62

Answer:

1 out of 6

Step-by-step explanation:

no matter how many times you roll it the chances will always be the same

Answer:

there is a 1/6 chance

Step-by-step explanation:

there are 216 total combinations but only 36 combinations that end in 5.

36/216 = 1/6.

Hope this helps!

Answer:

The percent is 75%

Step-by-step explanation:

Answer:

(-5,9),(3,0)

(0,1),(1,0)

(1,2),(3,4)

Step-by-step explanation:

I hope this helps!

Answer: It's 2/3

Step-by-step explanation:

Answer:

d. 1

Step-by-step explanation:

it is called linear because β0, β1, . . ., βp all have their exponents to be 1. A multiple linear regression is a type of regression which has more than one independent variable. it tells us the existing relationship between 2 or more of these independent variables on the dependent variable. for it to be regarded to be linear, it is very important that the exponents be equal to 1. else it could be quadratic.

Answer:

No, because an expression is already solved and an equation is where you have to solve it

Step-by-step explanation:

Answer:

No as said you have to solve and equation yet an expression is already solved for your viewing.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1. The sphere has a radius of 4 cm.

3. The diameter length is twice the length of the radius.

6. The volume of the sphere is StartFraction 256 Over 3 EndFraction pi centimeters cubed.

Answer:

No

Step-by-step explanation:

-8 is less than -4. Negative numbers reverse the logic of positive ones: since positive 8 is more than positive 4, negative 8 is less than negative 4.

Answer:

P(x< 18) = 0.986

Step-by-step explanation:

Step 1: find the z-score using the formula, z = (x - µ)/σ

Where,

x = randomly chosen values = 18

µ = mean = 7

σ = standard deviation = 5

Proportion of the population that is less than 18 = P(x < 18)

Plug in the values into z = (x - µ)/σ, to get z-score.

z = (18 - 7)/5

z = 11/5 = 2.2

Step 2: Find P(x< 18) = P (z<2.2) using z-table.

The probability that corresponds with z-score calculated is 0.986.

Therefore,

P(x< 18) = 0.986

What are the expressions?

Answer:

y=4x+11

Step-by-step explanation:

y=mx+b.          

-1=4(-3)+b

-1=  -12+b

+12 +12

11=b

Answer:

y = 4x + 11

Step-by-step explanation:

Answer:

y= (0, .7)

x= (-1.2, 0)

Step-by-step explanation:

r u taking a test?

3)9.375 and 12 is )37.5

Answer:

43

Step-by-step explanation:

5 × 3 - 7 × -4 =

15 - - 28 =

15 + 28 = 43

Answer:

43

Step-by-step explanation:

5a - 7b if a = 3 and b = -4

= 5(3) - 7(-4)

= 15 - -28

= 15+28

= 43

Answer:

The probability that the vaccine is not effective in more than 1 of the 20 individuals is equal to:

P = 1 - P(1) - P(0)

Where:

P(1) = probability that the vaccine is not effective in one individual

P(0) = probability that the vaccine is not effective in 0 individuals.

The probability that the vaccine is effective is 0.95

Then the probability that the vaccine is not effective is 0.05.

Then to calculate P(1), suppose that the vaccine is not effective in the first case and then is effective 19 times, this is:

p(1) = (0.05^1)*(0.95^19)

But this only for one case, we have 20 possible permutations (the vaccine is not effective in the first case, the second case, third case, etc)

Then the actual probability is:

P(1) = 20*((0.05^1)*(0.95^19)) = 0.377

And P(0) is easy to compute:

P(0) = (0.05^0)*(0.95^20) = 0.358

And here we have only one possible permutation, so we do not worry about that.

Then P = 1 - P(1) - P(0) = 1 - 0.377 - 0.358 = 0.265

This means that the probability that the vaccine is not effective in more than one individual is of 0.265 (or 26.5% in percentage form)

Answer:

Step-by-step explanation:

1/2

Answer:

B. No, Gio's claim is incorrect because the Pythagorean theorem can only be used

with a right triangle.

Step-by-step explanation:

The pythagorean theorem which is given as a² + b² = c², only applies to right triangles. Where, c is the hypotenuse side length that is opposite to the right angle of the triangle, while a and b are the two other legs of the right triangle.

The triangle given above is not a right angle. The measure of the missing length = 180 - (60 + 40) = 80°.

A right ∆ has an angle measure of 90°. Therefore, the pythagorean theorem cannot be applied in this case to solve for the missing side length, x.

So, Gio's claim is INCORRECT.