Write the expression as a decimal number.

The cost in dollars of a 16 ounce can of dog food is $11.84.

Given that,

The cost of a 12 ounce can of dog food is $8.88.

Cost of 12 ounce can = $8.88

Cost of 1 ounce can = $8.88 / 12

                                 = $0.74

Cost of 16 ounce can = 16 × $0.74

                                    = $11.84

Hence the cost of the 16 ounce can of dog food is $11.84.

Learn more about Cost here :

https://brainly.com/question/7440352

#SPJ1

0.0405 is the number that contain the digit 2 once, the digit 3 twice, the digit 4 thrice, and more 5s than threes, leading 0s are allowed.

According to collect from the data

Let us assume that the data as followed by

How many eight digit numbers contain the digit 2 exactly once, the digit 3 exactly twice, the digit 4 exactly thrice and more 5s than threes.

Let many eight digit numbers contain the digit 2 once, the digit 3 twice the digit 4 thrice and more 5s than threes.

2,3,3,4,4,4

now then:

= 8!/2!3!3!4!4!4!

= 8.7.6.5.4!/2×6×6×24×24×4!

= 35/864

Now 0.405 then the eight digit number contains the digit 2 once the digit 3 .

Learn more about Permutations and combinations here:

brainly.com/question/4658834

#SPJ4

Answer:

Well nah

Step-by-step explanation:

Answer:

Lol no

Step-by-step explanation:

Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32

The expression should be 4x + 32

So, area is;

A = 4(x+8)

And,

\(A = (4 \times x) + (4 \times 8)\)

A = 4x + 32

learn more about the area here: https://brainly.com/question/24418415

The solution of this system is (x, y) = (- 6, 2).

The endpoints of line segment AB and its midpoint are described by algebraic expressions. The following relationship between the endpoints and the midpoint is shown by the following formula:

M(x, y) = 0.5 · A(x, y) + 0.5 · B(x, y)

(- 7 / 2, - 8) = 0.5 · (2 · x, y - 1) + 0.5 · (y + 3, 3 · x + 1)

(- 7 / 2, - 8) = (x, 0.5 · y - 0.5) + (0.5 · y + 1.5, 1.5 · x + 0.5)

(- 7 / 2, - 8) = (x + 0.5 · y + 1.5, 1.5 · x + 0.5 · y)

(x + 0.5 · y , 1.5 · x + 0.5 · y) = (- 5, - 8)

Which is equivalent to the following system of linear equations:

x + 0.5 · y = - 5

1.5 · x + 0.5 · y = - 8

The solution of this system is (x, y) = (- 6, 2).

To learn more on midpoints: https://brainly.com/question/28224145

#SPJ1

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |  -3   |   6   |   0    |   0    |   0   |

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

s1|   5   |   7   |   1    |   0    |   35  |

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

s2|  -1   |   2   |   0    |   1    |   2   |

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

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |   0   |   1   |  3/2   |  -1/2  |   14  |

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

s1|   0   |   0   |   4    |   3    |   5   |

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

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

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

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

Learn more about simplex method here:

brainly.com/question/15801083

#SPJ11

Answer:

13.5 and 2.76

Step-by-step explanation:

The given function is y=9500+55x, where x is in hours driven and y is in miles.

Therefore, the slope of the function is

Answer:

£3.9

Step-by-step explanation:

Philip went to the shop with £9.60

spent £5.70

Money left = £9.60 -£ 5.70

                  =£3.9

Hence,

He came home with £3.9

Therefore, Drug C has a stronger impact on cell survival compared to Drug A, making it the drug with the greatest effect.

To draw a representation of the survival curve and identify the drug that has the greatest effect on cell survival, we can use a graph where the x-axis represents the drug concentration in μg/ml, and the y-axis represents the percentage of cell survival.

Since Drug B has no IC90 value, it means that it does not reach a concentration that causes a 90% reduction in cell survival. Therefore, we can assume that Drug B has no significant effect on cell survival and can omit it from the survival curve.

For Drug A and Drug C, we have IC90 values of 5 and 3 μg/ml, respectively. This means that when the drug concentration reaches these values, there is a 90% reduction in cell survival.

To know more about Drug,

https://brainly.com/question/4896605

#SPJ11

As we have identified that both sides of the equation are equal, we have proven algebraically that the length of segment MN is indeed half the length of segment JL.

For the midpoint M, the two points we're considering are J(-2,3) and K(6,-1). Using the midpoint formula, we can calculate the x-coordinate of M as (x₁ + x₂)/2 and the y-coordinate as (y₁ + y₂)/2.

x-coordinate of M = (-2 + 6)/2 = 4/2 = 2

y-coordinate of M = (3 - 1)/2 = 2/2 = 1

Therefore, the coordinates of M are (2, 1).

Similarly, we can find the coordinates of N using the midpoint formula with points K(6, -1) and L(4, 5).

x-coordinate of N = (6 + 4)/2 = 10/2 = 5

y-coordinate of N = (-1 + 5)/2 = 4/2 = 2

Therefore, the coordinates of N are (5, 2).

Let's calculate the length of segment MN using the coordinates we found earlier:

Length of MN = √[(5 - 2)² + (2 - 1)²]

= √[3² + 1²]

= √[9 + 1]

= √10

Now, let's calculate the length of segment JL using the given coordinates:

Length of JL = √[(-2 - 4)² + (3 - 5)²]

= √[(-6)² + (-2)²]

= √[36 + 4]

= √40

= 2√10

We can see that the length of segment JL is 2√10, while the length of segment MN is √10. Now, to show that MN is half the length of JL, we need to prove the following algebraically:

√10 = (1/2) * 2√10

To simplify this equation, we can rewrite 2√10 as √(2² * 10), which gives us:

√10 = (1/2) * √(2² * 10)

Simplifying further, we have:

√10 = (1/2) * √(4 * 10)

√10 = (1/2) * √40

We know that √40 is equal to 2√10, so the equation becomes:

√10 = (1/2) * 2√10

Simplifying the right side, we have:

√10 = √10

To know more about coordinates here

https://brainly.com/question/27749090

#SPJ4

Answer:

x = 3

Step-by-step explanation:

log 10x + log 2 = log 60

Subtract log 2 from each side

log 10x + log 2 -log 2 = log 60 - log 2

log 10x  = log 60 - log 2

We know  that log a - log b = log (a/b)

log 10 x = log (60/2)

log 10x  = log 30

We know log a = log b  that a = b

10x = 30

Divide by 10

10x/10 = 30/10

x =3

Answer:

circle and two lines that don't touch and are the same length are parrarell

Answer:

15

Step-by-step explanation:

y = 5 l -1 + 4 l

-1 + 4 = 3

3 would not become -3 because positives stay a positive in the inverse operation thing.

5 times 3 is 15

So y is 15

Answer:

if x=-1,than -1+4=3,after that we put 3 instesd of x+4,and it will be 5+3=8

Answer:

6.3

Step-by-step explanation:

You can find the distance with a distance formula (need the points and it has a big, long square root) BUT, when you have an image like this graph you can totally see a right triangle and use the Pythagorean Theorem (distance formula is derived from Pythagorean theorem anyway) see image

Answer:

18- Both these triangles have the same amount of lines on it, meaning they are congruent.

19- Both of the triangles have the same angle measurements and are position the same

22- Angle B and angle G are the exact same angle. Same thing with F and C. H and D.

Step-by-step explanation:

Hope this helps a little :)

Answer:

y = 1/3x -4

Step-by-step explanation:

The y intercept is -4 as you can see in the graph. To find the slope look at the graph and find where it perfectly intercepts. It goes up one block and to the right three. So the slope is 1/3 . Since the line is going up to the top right it’s a positive slope.

Answer:

False - The standard deviation is always positive.

Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

Answer:

2.861

Step-by-step explanation:

What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.

Answer:

the hawk has flow 824.62 meters southwest of the mountain peak.

Step-by-step explanation:

In order to find the distance we need to use the Pythagoras theorem

d^2 = 800^2 + 200^2

d= 824.6 m

we can find the direction by using the eq for a tangent

he opposite side is 200 m and the adjacent side is 800m

tan theta = opposite / adjacent

theta = arc tan (800/200)

The hawk is at a distance of 824.6m flying at an angle 76 degrees NE of the mountain peak.

The final location will be southwest of the mountain peek.

a2+b2=c2

a = 200

b= 800

c = √(2002+8002) = 824.62

So the hawk has flow 824.62 meters southwest of the mountain peak.

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

To use the Direct Comparison Test, we need to find a series that is larger than the given series and whose convergence or divergence is known.

We can observe that for n ≥ 2,

In n + 1 < In n

This is because the natural logarithmic function is a monotonically increasing function, and In n + 1 is always less than In n except for n = 1.

Therefore, we can write

In n + 1 In n 1 ≤ 1

Multiplying both sides by Xn+1, we get

Xn+1 In n + 1 In n 1 Xn+1 ≤ Xn+1

Now, the series Σ Xn+1 diverges because it is given in the problem.

Therefore, by the Direct Comparison Test, the series Σ Xn+1 In n + 1 In n 1 also diverges.

Answer: Diverges.

For the second problem, we are given that

lim n→∞ 4 sin(πn) sin n = L > 0

To use the Limit Comparison Test, we need to find a series with positive terms whose convergence or divergence is known and whose limit comparison with the given series is nonzero and finite.

We can consider the series Σ 1/n. This is a p-series with p = 1, which diverges.

Now, we can use the limit comparison test:

lim n→∞ (4 sin(πn) sin n) / (1/n)

= lim n→∞ 4n sin(πn) sin n

= lim n→∞ 4π sin(πn) / (1/n)

= lim n→∞ 4π cos(πn)

= 4π

Since the limit is nonzero and finite, by the Limit Comparison Test, the series Σ 4 sin(πn) sin n also diverges.

Answer: Diverges.
Using the Direct Comparison Test to determine the convergence or divergence of the series Σ (n ln(n) + 1)/(n ln(n+1)) with n=2 to infinity, you can compare it to the series Σ 1/n with n=2 to infinity. Since the series Σ 1/n is a harmonic series and diverges, the given series also diverges.

Using the Limit Comparison Test to determine the convergence or divergence of the series Σ (4sin(n))/n with n=1 to infinity, you can compare it to the series Σ 1/n. Calculate the limit as n approaches infinity of (4sin(n))/n divided by 1/n, which simplifies to 4sin(n). Since the limit does not exist or is not finite (L>0), the Limit Comparison Test is inconclusive, and we cannot determine the convergence or divergence of the series using this method.

Learn more about logarithmic at: brainly.com/question/30085872

#SPJ11

It is not possible for the population to be 1207 people using this formula.

Part 1: To calculate the slope of the line, we need to find the change in population over the change in years. From the graph, we can see that the population changes by 1000 people over a period of 10 years. Therefore, the slope of the line is:

slope = (change in population) / (change in years)

         = 1000 / 10   =   100 people per year

So the slope of the line is 100 people per year.

To find the initial value of the line, we need to find the population when the year is 0. From the graph, we can see that the population in the year 1980 is about 4000 people. Therefore, the initial value of the line is 4000 people.

Part 2: To find a formula for the population of the military base, P, in terms of the number of years, n since 1980, we can use the point-slope form of the equation of a line: P - 4000 = 100n

Simplifying this equation, we get: P = 100n + 4000

To predict the population of the military base in 1993, we need to find the value of P when n = 13 (since 1993 is 13 years after 1980). Substituting n = 13 into the formula, we get: P = 100(13) + 4000 = 5300

Therefore, the population of the military base in 1993 is predicted to be 5300 people.

To predict the year in which the population is expected to be 1207 people, we can set the formula equal to 1207 and solve for n:

1207 = 100n + 4000

Subtracting 4000 from both sides, we get: 100n = -2793

Dividing both sides by 100, we get: n = -27.93

Since n represents the number of years since 1980, we cannot have a negative value for n. Therefore, it is not possible for the population to be 1207 people using this formula.

To know more about Slope, visit: https://brainly.com/question/16949303

#SPJ1

The type of scale used to evaluate the food at a new restaurant on 7-point scales with bipolar adjectives such as good-bad and inexpensive-expensive is known as a Likert scale.

This type of scale is commonly used in surveys to measure attitudes and opinions towards a particular topic, in this case, the food at a new restaurant. A Likert scale consists of a series of statements or adjectives that respondents are asked to rate on a scale that ranges from strongly disagree to strongly agree or, in this case, from bad to good and from inexpensive to expensive.

The bipolar adjectives used in the scale allow for a clear distinction between the positive and negative aspects of the food, which helps to ensure that the responses are more accurate and meaningful. The 7-point scale provides a wider range of options than a binary scale, which allows for more nuanced and detailed responses.

To know more about likert scale click here

brainly.com/question/6370430

#SPJ11

Answer:

x^2  +2xy + 2xz - y^2 + z^2

Step-by-step explanation:

(x+y+z) (x-y+z)

x^2 + xy + xz + xy - y^2 + yz + xz - yz + z^2

x^2 + xy + xy + xz + xz - y^2 + yz - yz + z^2

x^2  +2xy + 2xz - y^2 + z^2

Answer:

x²  +2xy + 2xz - y² + z²

Step-by-step explanation:

The solution of expression after divide is, 70.83333...

We have to give that,

Divide 425 by 6.

Now, Divide the numbers as,

425 ÷ 6

6 ) 425 ( 70.833

   - 42

  --------

        050

         - 48

       -----------

               20

             - 18

             --------

                 20

               - 18

             ----------

                    2

Hence, The solution of expression after divide is, 70.83333...

To learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ6

Answer:

50

Step-by-step explanation:

because i rewirwed it with my teacher

Answer:

1,398.983

Step-by-step explanation:

In the OF₂ molecule, the Oxygen atom is sp³ hybridized and has tetrahedral geometry. Biut due to the presence of two lone pairs on the O-atom the bond angle is lowered to 103° as the lp-lp interraction has to be lowered by increasing the angle between them. This squeezes the bond pairs closer to each other lowering the angle between them.

In the SCL₂ molecule, the Sulphur atom is sp³ hybridizes and has tetrahedral geometry. But due to the presence of two lone pairs on the S-atom the bond angle is lowered to 103° as the lp-lp interaction has to be lowered by increasing the angle between them.

Here again, in the PF₃ molecule, the Phosphorous atom is sp³ hybridized and has tetrahedral geometry. But here the Fluorine atoms being more electronegative than phosphorous polarize the bond negatively towards themselves.  

Given question is incomplete.

To know more about lone pair here

https://brainly.com/question/13931351

#SPJ4