ent clock.
5. My hour hand is between the 5 and the 6.
My minute hand is pointing to the 4.
What time do I show?

Answer:

$27

Step-by-step explanation:

According to your question. The complete cost was $135 for a fifteen feet long beam. If you are looking for the price per yard, a yard has three feet, therefore in fifteen feet, there are five yards.

15 divided into 3 equals 5

$135 divided into five equals $27

I hope this helps.

Answer:

D = 9sin(2π(t + a)/24) + 45

Step-by-step explanation:

Let's find the average temperature;

(54 + 36)/2 = 45°

Amplitude = 54 - 45 = 9

From the wave equation, we can write the temperature as;

D = 9sin(2π(t + a)/24) + 45

Where;

D is the temperature

t is the time in hours after midnight

a is a "phase" that is used to set the time at which temperature(D) occurs

Answer:

g(8) = 3(8)-2

g(8) = 24-2

g(8)= 22

Step-by-step explanation:

Answer:

Some 224 people were in favor of the expansion.

Step-by-step explanation:

Given that, according to the recent poll, 22 1/4% of the people polled said that they approved of the city plan to expand the library, if 1004 people was polled, to determine how many were in favor of the expansion should be done the following calculation:

1/4 = 0.25

100 = 1004

22.25 = X

1004 x 22.25 / 100 = X

223.39 = X

Thus, some 224 people were in favor of the expansion.

Answer:

$21

Step-by-step explanation:

Answer: 0.13

Step-by-step explanation:

Step-by-step explanation:

the area of the half-circle:

πr² /2= 3.14* 20² /2= 3.14 * 400 /2 =1256/2=628cm²

50*80/2=2000cm²

Shaded area:

2000-628=1372cm²

Answer:

Step-by-step explanation:

The shaded area is a trapezoid minus the area of half a circle.

T=h(b1+b2)/2

T=40(50+80)/2

T=2600cm^2

Now the area of the half circle

C=(pi r^2)/2

C=(400pi)/2

C=200pi

So the shaded area is

A=2600-200pi

A=1972 (rounded to nearest 1)

Answer:

x = 90 degrees

Step-by-step explanation:

the above figure is of a circle, so the sum of the measures of angles will be 360 degrees.

measure of arc = measure of the angle inscribed by the arc

therefore, the measure of arc JK will also be x...... ( vertically opposite angles)

therefore, x + x + 30 + (2x - 30) = 360 .....(1)

therefore, 2x + 30 + 2x - 30 = 360

therefore, 4x = 360.....( as -30 and +30 will be cancelled)

therefore, x = 90 degrees

Cross correction:-

by putting in x = 90 in (1)

90 + 90 + 30 + 2*90 - 30 = 360

180 + 30 + 180 - 30 = 360

180 + 180 = 360

so, x= 90 degrees is verified.

Answer:

Surface area = 80 cm²

Step-by-step explanation:

Surface Area of rectangular prism = 2(LW + LH + WH)

L = 4 cm

W = 4 cm

H = 3 cm

Plug in the values

Surface Area = 2(4*4 + 4*3 + 4*3) = 2(16 + 12 + 12)

Surface Area = 2(40) = 80 cm²

Answer:

540

Step-by-step explanation:

We need 6 times 90 for the full amount.

Answer:

Total amount = 540

Step-by-step explanation:

let total amount = x

1/6 * x = 90

x = 540

Answer:

The answer is "Option A and Option B"

Step-by-step explanation:

In question 1:

The fixed cost=2621.21  

The unit variable cost=35.58  

Calculating the total cost for 45 boat slips:

[tex]=2621.21+(45 \times 35.58)\\\\=2621.21+(1601.1)\\\\=4222.31 \approx 4222[/tex]

In question 2:

It is the pure fixed costs that remain consistent in total regardless of dynamic loads. An overall cost B both for 1000 and 2000 unit is unchanged, therefore the Cost B is a fixed sum.

Da.mn that sucks for you

Answer:

The dpmo of the process is of 29000

Step-by-step explanation:

Dpmo of a process:

The dpmo of a process is the number of defects per million opportunities.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

First, using the normal distribution, we calculate the proportion of defective bubbles. Then, using this proportion, we calculate the dpmo.

Mean fill volume for rice bubbles is 475 grams and the standard deviation is 10 grams.

This means that [tex]\mu = 475, \sigma = 10[/tex]

The design specifications are [450, 495] grams. Any output outside of design specifications is treated as non-conforming.

Below 450 and Above 495 are non-conforming.

Below 450:

The proportion is the pvalue of Z when X = 450. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{450 - 475}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

Above 495:

The proportion is 1 subtracted by the pvalue of Z when X = 495. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{495 - 475}{10}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The proportion of defectives is 0.0228 + 0.0062 = 0.0290

Dpmo:

Number of defects per million, that is, the proportion multiplied by 1000000.

1000000*0.0290 = 29000

The dpmo of the process is of 29000

9514 1404 393

Answer:

  58.5 ft by 39 ft

Step-by-step explanation:

Let x represent the length of the two horizontal segments. Then the three vertical segments will be ...

  (234 -2x)/3

The total enclosed area is the product of these dimensions:

  A = (x)(234 -2x)/3

  A = (2/3)(x)(117 -x)

This is the equation of a downward-opening parabola with zeros at x=0 and x=117. The maximum of the parabola will be on the line of symmetry, halfway between these zeros. The value of x there is ...

  x = (0 +117)/2 = 58.5

The lengths of the vertical segments are ...

  (2/3)(117 -58.5) = 2/3(58.5) = 39

The dimensions of the region enclosing the maximum area are 58.5 ft by 39 ft. The additional vertical segment is 39 ft.

_____

Comment on maximum area problems

You may have noticed that the total length of the fence allocated to the long sides (2×58.5 = 117) is half the total length of fence and is equal to the total length of fence allocated to the short sides (3×39 = 117).

This relationship is true in all rectangular fencing problems where the area is being maximized for a given total fence length. It doesn't matter how many partitions there are in either direction: the total of horizontal lengths is equal to the total of vertical lengths.

Consider the function f(x) = x ³. Since 2³ = 8 is a perfect cube that is pretty close to x = 1.999, take the linear approximation to f(x) at x = 2. It is

f(x) ≈ L(x) = f (2) + f ' (2) (x - 2)

Compute the derivative:

f(x) = x ³   →   f ' (x) = 3x ²   →   f ' (2) = 12

Then

L(x) = 8 + 12 (x - 2) = 12x - 16

Now approximate 1.999³ :

f (1.999) ≈ L (1.999) = 12•1.999 - 16 = 7.988

(Compare this to the actual value, 7.98801.)

Answer:

271.25 mg

Step-by-step explanation:

The amount of medicine will be equal to 271.25 mg.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that a veterinarian prescribed Christy, a 31-pound dog, an antibacterial medication in case an infection emerges after her teeth were cleaned. The dosage is 8.75 mg for every pound.

The amount of medicine will be calculated as below:-

Amount = 31 x 8.75

Amount = 271.25 mg

Therefore, the amount of medicine will be equal to 271.25 mg.

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Answer:

B. (b x d) - c

Step-by-step explanation:

i. -(a x d) + b

= -(6 x [tex]\frac{1}{2}[/tex]) + 8

= -3 + 8

= 5

ii. (b x d) - c

(8 x [tex]\frac{1}{2}[/tex]) - 4

= 4 - 4

= 0

iii. 2(b x f) + a

= 2(8 x [tex]\frac{1}{4}[/tex]) + 6

= 4 + 6

= 10

iv. (a x e) - c

= (6 x [tex]\frac{1}{3}[/tex]) - 4

= 2 - 4

= -2

Thus, the expression which is equivalent to 0 is that of option B.

Answer:

240

Step-by-step explanation:

Answer:

y=-3/4x+3

Step-by-step explanation:

The formula is y=mx+b

m is the slope

b is the y-intercept

If you plug it in, you get y=-3/4x+3

Hope this helps!

Answer:

104 in total

6.5k+12a=18.5ka

Step-by-step explanation:

Step-by-step explanation:

(-1,-7) (0,-4) (1,-1) (2,2) (3,5) (4,8)

if you have any questions about this, don't hesitate to ask :))

Answer:

The answer is A

Step-by-step explanation:

why it is a is...

the first like is the # your arithmetic sentence starts with which is -1

the second line is what you do to get to the next #

each time you are adding 6

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

[tex]a_n = a_1 + (n-1)d[/tex]

Also, the recursive formula for any arithmetic series is given by the formula,

[tex]a_n = a_{(n-1)} + d\\\\[/tex]

Or, it can be also written as,

[tex]a_{(n+1)} = a_{n} + d[/tex]

where d is the difference and a₁ is the first term of the sequence.

For the given arithmetic sequence, the common difference can be written as,

Common difference = -1 - (-7)

                                  = -1 + 7

                                  = 6

Now, the recursive formula for this arithmetic sequence can be written as,

[tex]a_n = a_{(n-1)} + 6[/tex]

Also, the first term of the given arithmetic series is -7.

a₁ = -7

Hence, the correct option is A.

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