Each roll of tape is 30.5 feet long. A box contains 454 rolls of tape. How many yards are there in total

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

A trinomial square has two possible forms:

So, for us to check if

Is a trinomial square, we first check if the first and thrid terms are positive, because both options has positive first and thrid terms, even if a or b are negative, because they are squared in the process.

Both are positive, x² and 64.

Now, by comparison, we see that, in thi case we would have:

If it is a trinomial square, than the middle term has to be:

We use the negative form because we have a negative middle term.

So, let's see if it checks out:

We got -16x, but the middle term is -8x, they don't match.

Since they don't match, the given expression is not a trinomial square. The answer is No.

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Analysis of weekly widget production reveals that the number of widgets X produced in a week is a random variable with mean and standard deviation the mean and the standard deviation of C  is Third one.

Whats is a widget?

On both Apple iOS and Android devices, widgets present specific data that resides in an application running in the device. Each widget on an iPhone or other smartphone display presents selected bits of information that reside in the associated applications.

To add a widget on an Android smartphone, go to your home screen, touch and hold an empty space, then:

Tap Widgets. You'll see a list of what's available to install.

Touch and hold a widget. You'll see images of your home screens.

Slide the widget to where you want it. Lift your finger

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Answer:

12(a+b+c)

Step-by-step explanation:

how to verify:

Distribute 12 and you'll get the original expression

I hope my answer was helpful!

The term in which both the patterns has the same value is term 5.

The correct answer choice is option B.

Pattern A:

First term, a = 100

Common difference, d = 10

Pattern B:

First term, a = 80

Common difference, d = 5

Pattern A:

First term = 100

Second term = 100 - 10 = 90

Third term = 90 - 10 = 80

Fourth term = 80 - 10 = 70

Fifth term = 70 - 10 = 60

Pattern B:

First term = 80

Second term = 80 - 5 = 75

Third term = 75 - 5 = 70

Fourth term = 70 - 5 = 65

Fifth term = 65 - 5 = 60

In conclusion, both patterns has the same value at term 5.

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Answer:

C. EFG

Step-by-step explanation:

ABC ≅ EFG

AB has the same value as EF

BC has the same value as FG

CA has the same value as GE

And one thing, even if 2 triangles are proportional like ABC and RST, if they're not congruent like ABC and EFG, then that's not the answer.

∆ABC ≅ ∆EFG (Option C) because it is congruent to ∆ABC based on the given information and the criteria for congruence between right triangles.

For the given options, triangle EFG is same as triangle ABC  and is therefore congruent to triangle ABC.

To show that two triangles are congruent, we need to establish that all corresponding sides and angles are equal. We can see that all the given options is a right triangle so, we can further investigate to verify the congruence.

Now, to find the triangle congruent to ∆ABC, we need to check the options where corresponding sides and angles are equal. For congruence between two right triangles, it is sufficient to prove that:

1. Both triangles have a right angle (which we already assumed).

2. The lengths of the two legs of the right triangles are equal.

3. The lengths of the hypotenuses of the right triangles are equal.

If all three conditions are met, the right triangles will be congruent by the Side-Angle-Side (SAS) congruence rule.

It is observed that all these conditions are satisfied by ∆EFG, making the two triangles identical in shape and size. Hence, ∆ABC ≅ ∆EFG (Option C).

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Answer:

49

Step-by-step explanation:

6+3=9

9÷9=1

50-1=49

Answer:

Step-by-step explanation:

please give me the answer for 50 - [9÷(6+3)]

remember PEMDAS

50 - [9÷(6+3)] =

50 - [9 : 9] =

50 - 1 =

49

Answer:

192

Step-by-step explanation:

V= a2 h/3= 8 2 . 9/3 = 192

search square pyramid

and put the height and base edges in (8 feet and 9 feet and you will get a better answer  

Answer:

  132°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...

  arc CB = 2×∠CAB = 2×40° = 80°

Arc AC is twice the measure of inscribed angle ABC, so ...

  arc AC = 2×∠ABC = 2×26° = 52°

The measure of central angle AOB is the same as the measure of arc AB.

  x = ∠AOB = arcs AC +arc CB = 52° +80°

  x = 132°

Answer:

legs

Step-by-step explanation:

Answer:

The Legs of a right triangle are the two sides of a right triangle that intersect to form the right angle

Step-by-step explanation:

Two legs plus a hypotenuse make up a right triangle. The hypotenuse is the longest side of the right triangle and the side opposite the right angle, and the two legs meet at a 90° angle. Right triangles come in a variety of shapes, including 45°-45° right triangles and 30°-60° right triangles.

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Answer: 6,760,000 different possible serial numbers.

Step-by-step explanation: There are 10 digits numbered 0 to 9. There are also 26 letters in the alphabet. Using this, we can do 10*10*10*10*26*26 as there are four digits needed and two letters. This computes to approximately 6,760,000 different possible serial numbers, assuming no other factors are involved.

Answer:

84 yards squared

Step-by-step explanation:

Use the formula- A= 1/2(b1 +b2)h

So 8+6=14 and 14x12 equals 168. That times 1/2 equals 168 :)

The weighted mean for both samples is 6.98 if the psychologist observed a sample of 5 men (n = 5] and 8 women (n = 8]

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Number of men = 5

Number of women = 8

The weighted factor for men = 2.3

The weighted factor for women = 4.5

The weighted mean = (5×2.3 + 8×4.5)/(2.3+4.5)

= (11.5+36)/6.8

= 47.5/6.8

= 6.98

Thus, the weighted mean for both samples is 6.98 if the psychologist observed a sample of 5 men (n = 5] and 8 women (n = 8]

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Answer:

b

Step-by-step explanation:

Answer:

the base is 7 and the height is seven so the first answer

\(-(3c-8)-3c =-3c+8-3c=-6x+8\)

Hope that helps!

Answer:

-6c+8

Step-by-step explanation:

-3c+8-3c

-6c+8

Answer- -6c+8

Answer:

The third choice is the correct one.

Step-by-step explanation:

The absolute value of six means that it's the distance from 0 to six, and that distance will be positive regardless of the number being negative or not.

Answer: The third answer is correct

Step-by-step explanation:

Since |6| is the absolute value of positive six, the value of an absolute value of any number is always positive.

Answer:

give me more instructions so i can actually help

Step-by-step explanation:

Answer:

A(4.5 , 7) B(6.5 , 7) C(6.5 , 4) D(2 , 4)

Step-by-step explanation:

Hope this helps!

Answer:

17

Step-by-step explanation:

A slope is also known as the gradient of a line. The correct option is C, 17 dollars per hour.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

The average rate of change for the data from the 2nd hour to the 6th hour is,

Average rate = ($126 - $58)/(6 hour - 2 hour)

                      = 68/4 dollar per hour

                      = 17 dollars per hour

Hence, The average rate of change for the data from the 2nd hour to the 6th hour is 17 dollars per hour.

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Answer:

The probability that none of the households are tuned to 50 Minutes is 0.04398.

Step-by-step explanation:

We are given that the television show 50 Minutes has been successful for many years. That show recently had a share of 20, meaning that among the TV sets in use, 20% were tuned to 50 Minutes.

A pilot survey begins with 14 households have TV sets in use at the time of a 50 Minutes broadcast.

The above situation can be represented through binomial distribution;

\(P(X = r)= \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x = 0,1,2,3,.........\)

where, n = number of samples (trials) taken = 14 households

r = number of success = none of the households are tuned to 50 min

p = probability of success which in our question is probability that households were tuned to 50 Minutes, i.e. p = 20%

Let X = Number of households that are tuned to 50 Minutes

So, X ~ Binom(n = 14, p = 0.20)

Now, the probability that none of the households are tuned to 50 Minutes is given by = P(X = 0)

               P(X = 0)  =  \(\binom{14}{0} \times 0.20^{0} \times (1-0.20)^{14-0}\)

                              =  \(1 \times 1 \times 0.80^{14}\)

                              =  0.04398

Apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c = hypotenuse (longest side )

a & b = the other 2 legs of the triangle

Replacing:

c^2 = 3^2 + (√89)^2

c^2 = 9 + 89

c ^2 = 98

c = √98 = √(49x2) = √49 √2 = 7 √2

Third side = 7 √2

Answer:

150 miles

Step-by-step explanation:

speed = 120 km per hour

1 mile = 1.6 km

speed = 120 km per hr

divide 120 with 1.6 to get in miles=120/1.6

= 75 miles per hour

speed = 75 miles per hour

So, in 1 hr, it can travel 75 miles

the distance traveled by car in 2 hours = 75 * 2 = 150

Result : Speed = 75 miles per hour , distance = 150 miles

Answer:

12days

Step-by-step explanation:

A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.

Answer:

12 days

Step-by-step explanation:

912/76 = 12

Answer:  89 yards

Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.

Answer:

75

Step-by-step explanation:

math