Which pair of angles must be supplementary?
*
2 1
5
4 3
O <1 and <5
<5 and <3
<4 and <5
O <4 and <1

Answer: 300 ft

Step-by-step explanation:

100*3 = 300

Answer:

The answer is X=41

Step-by-step explanation:

The angle with 37 degrees and 53 degrees forms a right angle. A right angle is equal to 90 degrees.

At the bottom you have an obtuse angle. With an angle at 139 degrees. You would take 180 degrees and subtract that from 139

180-139=41

x=41 degrees

Hope this helps please mark brainliest :)

Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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The Energy Information Administration reports that the mean retail price per gallon of regular grade gasoline is $3.51 and a standard deviation of $0.10

A. We need to identify the range that is two standard deviations away from the mean in both directions in order to calculate the proportion of regular grade gasoline sold between $3.31 and $3.71 per gallon.

3.31 = 3.51 - 2 × 0.10$.

3.71 = 3.52 + 2 × 0.10$.

Consequently, between $3.31 and $3.71 per gallon is where approximately 95% of the gasoline sold is priced.

B. We can use the same formula to find the percentage of regular grade gasoline sold between $3.31 and $3.61 per gallon by repeating the calculation above but only considering one standard deviation in either direction.

3.31 = 3.51 - 1 × 0.10.

3.51 + 1 × 0.10 = 3.61.

Therefore, 68 percent of the gasoline sold is priced between $3.31 and $3.61 per gallon.

C. By deducting the percentage of gasoline sold within two standard deviations of the mean from 100%, we can calculate the percentage of regular grade fuel sold for more than $3.17 per gallon.

Therefore, about 5% of the sold gasoline has a gallon price greater than $3.17.

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Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

In a case whereby A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position the degrees north of west it turned is 72°

From trigonometry, the law of cosines states  the side c of a triangle can be found as

c² = a² + b² - 2abcos(C)

where

C = angle opposite to side c.

a and = lengths of the other sides.

a = 94, b = 119, c = 173.

c² = a² + b² - 2abcos(C)

173² = 94² + 119² - 2 x 94 x 119cos(C)

22327cos(C) = -6932

cos(C) = -6932/22327

C = arccos(-6932/22327)

C = 108º.

Then,

T = 180 - C

= 180 - 108 = 72º.

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Answer:

The points that are not in the plane are P S Q R

Step-by-step explanation:

We want all the points that are not in plane Z

The points that are not in the plane are P S Q R

Answer:

I do not understand the question??

Step-by-step explanation:

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Therefore, in response to the given query, we can state that R(-1)'s inequality possible spectrum is thus: [0, 10]

A connection between two expressions or numbers that is not equivalent in mathematics is referred to as an inequality. Thus, disparity results from inequity. In mathematics, an inequality establishes the connection between two non-equal numbers. Egality and disparity are not the same. Use the not equal sign most frequently when two numbers are not identical. (). Values of any size can be contrasted using a variety of disparities. By changing the two sides until only the factors are left, many straightforward inequalities can be answered. However, a number of factors support inequality: Both parts' negative numbers are divided or added. Exchange the left and the right.

The equation can be used to describe the candle's length, R(t):

R(t) = 11 - 1.1t

where t represents how long the light has been burning, in hours.

We must determine t in terms of R in order to determine the negative of R(t):

R = 11 - 1.1 t = (11 - R)/1.1 t = (11 - R)

R(t)'s inverse function is thus:

\(R^{(-1)}(R) = (11 - R)/1.1\)

0 ≤ R ≤ 11

So, R(-1)'s scope is as follows:

[0, 11]

0 ≤ R ≤ 11

Inputting these limits into the equation for R(-1) yields the following results:

\(R^{(-1)}(0) = 11/1.1 = 10\\R^{(-1)}(11) = 0/1.1 = 0\)

R(-1)'s possible spectrum is thus:

[0, 10]

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9514 1404 393

Answer:

Step-by-step explanation:

The sum of payments made n times per year for t years and earning annual interest rate r is the value of a single payment multiplied by k, where ...

  k = ((1 +r/n)^(nt) -1)/(r/n)

__

Problem 1

The multiplier k is ...

  k = ((1 +0.08/4)^(4·25) -1)/(0.08/4) ≈ 312.232306

Then the quarterly deposit needs to be ...

  $300,000/312.232306 ≈ $960.82

The sum of the 100 quarterly payments is ...

  100 × $960.82 = $96,082

So, the amount of interest earned is ...

  $300,000 -96,082 = $203,918

__

Problem 2

The multiplier k is ...

  k = ((1 +0.072/12)^(12·30) -1)/(0.072/12) ≈ 1269.22544

Then the balance resulting from monthly deposits of $250 will be ...

  $250 × 1269.22544 = $317,306.36

The total of the 360 payments is $90,000, so the interest earned is ...

  $317,306.36 -90,000 = $227,306.36

_____

Additional comment

In the case of Problem 1, the deposit amount is rounded down to the nearest cent. This means that the account balance at the end of 25 years will be slightly less than $300,000. The difference is on the order of $0.96. This means both the account balance and the actual interest earned are $0.96 less than the amounts shown above.

In many of these school calculations, we ignore the effect of rounding the payment values. Similarly, we ignore the effect of rounding the account balance values for each monthly or quarterly statement. In real life, the final payment of a series is often adjusted to make up the difference caused by this rounding.

Also worthy of note is that the calculations here assume the payments are made at the end of the period, not the beginning. That makes a difference.

Answer: 200 seconds

Okay - so then Oliver would take 3 minutes and 20 seconds. There are 60 seconds in a minute so it would be 30 times 60 = 180 + 20 = 200

With the given compound interest, the required quarterly payment is $38,745.74.

What is Compound interest?

Compound interest is the interest that is calculated on the initial principal as well as the accumulated interest of previous periods. In other words, it is the interest on interest. The interest is added to the principal at the end of each compounding period, and then the new total amount becomes the principal for the next period's interest calculation.

Now,

The amount financed is equal to the purchase price minus the down payment:

Amount financed = $5,000,000 - 0.15($5,000,000) = $4,250,000

To find the quarterly payment,

PV = Pmt * (1 - (1 + r)⁻ⁿ) / r

where PV is the present value (amount financed), Pmt is the quarterly payment, r is the quarterly interest rate, and n is the total number of quarterly payments (11 years x 4 quarters/year = 44 quarters).

The quarterly interest rate is equal to the annual interest rate divided by 4:

r = 0.091 / 4 = 0.02275

Substituting the values, we get:

$4,250,000 = Pmt * (1 - (1 + 0.02275)⁻⁴⁴) / 0.02275

Solving for Pmt, we get:

Pmt = $38,745.74

Therefore, the required quarterly payment is $38,745.74 (rounded to the nearest cent).

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Answer:

635.25 is a week

Step-by-step explanation:

Answer:

not Shure

Step-by-step explanation:

Answer:

Step-by-step explanation: A composite number is defined to be a number which has other divisors besides 1 and the number itself. Start counting:1, 2, 3, 4, 5, 6……….

1 is not a composite number because its sole divisor is 1. 2 is not a composite number because it has only two divisors 1 and the number 2 itself. 3 is in the same class as 2.

But 4 is different. Its divisors are 1,2,4. So this number satisfies the criterion of a composite number as stated above since besides 1 and 4, 2 is also a divisor. 4 is also the smallest composite number. The next composite number after 4 is 6 which has as divisors 1,2,3,6.

Step-by-step explanation:

hope this helps

Answer:

24

Step-by-step explanation:

the smallest composite number is 4.

If those 2 composite numbers are different - then the answer is 24, because 6 is the second smallest (5 is prime) composite number, and 4•6=24.

Answer:

1. y=3x+2

2. slope=3 It represents the rate of which the panda gained weight over the course of 4 weeks

3. 2 It represents the weight of the panda at the first week

Step-by-step explanation:

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

Answer:

Option A) -84

Step-by-step explanation:

=====================================

Note that the signs of the multiplicand and the multiplier are different.

A positive number multiplied by a negative number will always result in a negative product.

=====================================

See the picture below.

=====================================

Hope this helps!

Answer:

\( \fbox{A. −84}\)

Step-by-step explanation:

Hope It's Helps"

-15x and 15x is the answer

Answer:

-12y and 12y

Step-by-step explanation:

lets do the multiplication to each equation

\(\left \{ {{(6x+3y)(-4)=9(-4)} \atop {(5x+4y)3=10(3)}} \right.\)
this is
\(\left \{ {{-24x-12y=-36} \atop {15x+12y=30}} \right.\)
if we add the systems notice the values that do cancel are -12y and 12y
and the results of the adition is
\(-9x=-6\)
from this
\(x=\frac{-6}{-9} =\frac{2}{3}\)
and you can find y from any of the first equation.

\(y=3-2x=3-\frac{4}{3} =\frac{5}3}\)

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer:

8.792 m²s

Explanation:

Given the equation:

We want to evaluate the value of v for the given variables below:

Substitute the values into the formula:

The value of v is 8.792 m²s.

The flying time 't' between city B and city A can be expressed as 

t=(5-x)hours.

Total flying time for a round trip between City A and City B = 5 hours

Let the flying time from City A and City B be x hours and the flying time from City B and City A be t hours.

So, the total time taken will be x+t hours.

As the time of going is not equal to the time of returning due to the jet stream, so t≠x.

This expression representing the flying time for a round trip is:

5=x+t

t=5-x

Therefore, the expression representing the flying time 't' between city b and city is  t=(5-x) hours.

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The value of angle LAF in the intersecting chords is determined as  104⁰.

The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

m∠LAF = ¹/₂ (arc LF + arc YS)

From the diagram, we have arc LF = 160⁰ and YS = 48⁰

m∠LAF = ¹/₂ (160 + 48)

m∠LAF = 104⁰

Thus, the value of angle LAF is calculated by applying intersecting chord theorem.

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Step-by-step explanation:

f(x) = sin^-1(4x)

Using the chain rule, we have:

f'(x) = (1/√(1 - (4x)^2)) * d/dx(4x)

= (1/√(1 - (4x)^2)) * 4

= 4/√(1 - (4x)^2)

y = tan^-1(√(x-2))

Using the chain rule, we have:

y' = (1/ (1 + (√(x-2))^2)) * (1/2)(x-2)^(-1/2)

= 1 / (2√(x-2)(1 + x - 2))

= 1 / (2√(x-2)(x - 1))

y = (tan^−1(5x))^2

Using the chain rule and power rule, we have:

y' = 2(tan^−1(5x)) * d/dx(tan^−1(5x))

= 2(tan^−1(5x)) * (1/(1 + (5x)^2)) * 5

= 10(tan^−1(5x))/(1 + (5x)^2)

h(x) = e^(x^8+ln(x))

Using the chain rule and product rule, we have:

h'(x) = e^(x^8+ln(x)) * d/dx(x^8+ln(x))

= e^(x^8+ln(x)) * (8x^7 + 1/x)

= x^(15)e^(x^8) + e^(x^8)/x

y = ln(e^−x + xe^−x)

Using the chain rule and sum rule, we have:

y' = (1/(e^−x + xe^−x)) * d/dx(e^−x + xe^−x)

= (1/(e^−x + xe^−x)) * (-e^−x + e^−x - xe^−x)

= -1/(e^−x + xe^−x)

y = (cos(9x))^x

Using the chain rule and power rule, we have:

y' = (cos(9x))^x * d/dx(x * ln(cos(9x)))

= (cos(9x))^x * (ln(cos(9x)) + x * (-sin(9x)) * (1/cos(9x)) * 9)

= (cos(9x))^x * (ln(cos(9x)) - 9x * tan(9x))

Answer:

6 less than a number is equal to 1 and 4 tenths

Step-by-step explanation:

Answer: 2:16

Step-by-step explanation:

Answer:

2 : 16

Step-by-step explanation:

1 : 8 2 : 16 3 : 24 4 : 32 5 : 40

6 : 48 7 : 56 8 : 64 9 : 72 10 : 80

11 : 88 12 : 96 13 : 104 14 : 112 15 : 120

16 : 128 17 : 136 18 : 144 19 : 152 20 : 160

21 : 168 22 : 176 23 : 184 24 : 192 25 : 200

26 : 208 27 : 216 28 : 224 29 : 232 30 : 240

31 : 248 32 : 256 33 : 264 34 : 272 35 : 280

36 : 288 37 : 296 38 : 304 39 : 312 40 : 320

41 : 328 42 : 336 43 : 344 44 : 352 45 : 360

46 : 368 47 : 376 48 : 384 49 : 392 50 : 400

51 : 408 52 : 416 53 : 424 54 : 432 55 : 440

56 : 448 57 : 456 58 : 464 59 : 472 60 : 480

61 : 488 62 : 496 63 : 504 64 : 512 65 : 520

66 : 528 67 : 536 68 : 544 69 : 552 70 : 560

71 : 568 72 : 576 73 : 584 74 : 592 75 : 600

76 : 608 77 : 616 78 : 624 79 : 632 80 : 640

81 : 648 82 : 656 83 : 664 84 : 672 85 : 680

86 : 688 87 : 696 88 : 704 89 : 712 90 : 720

91 : 728 92 : 736 93 : 744 94 : 752 95 : 760

96 : 768 97 : 776 98 : 784 99 : 792 100 : 800

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

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The amount of fabric required is 400.551 ft².

We have,

CB= 8 feet

CF= 13 feet

AM = 8 feet

Using Pythagoras

AC² = AM² + CM²

AC = √64+16 = √80 = 4√5 feet

Now, the formula for Triangular prism is

= (Sum of three sides of triangle face)l + base area

= (4√5 + 4√5 + 8)13 + 8 x 8

= 104√5 + 104 + 64

= 104√5 + 168

= 232.551 + 168

= 400.551 ft²

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