pls dont write silly things or ill report. which number in each set is not a factor of the given number:
a.14 (1,2,4,7,14)
b,15 (1,3,5,15,45)

Answer:

19.7 inches

Step-by-step explanation:

The formula for the circumference of a circle of radius r is C = 2πr.  If the diameter is given, then the formula is C = πd.

Here C = 62 in.  Dividing both sides by π yields the diameter:  d = C/π:

       62 in

d = ----------- = 19.7 inches

        3.14

Answer:

b. 19.7

Step-by-step explanation:

did it on the ed2020 practice

The percentage of Venus's year to mercury's year is 39.1%

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction - three for the price of one! To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.

Venus year is 88 earth days and mercury is 225 earth days.

To find the percentage of venus's year to mercury's we divide the Venus's year by mercury and multiply by 100

Then , 88/225 ×100 = 39.1 %

Therefore Venus length of year is 39% of mercury's year.

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Answer: Yes

Step-by-step explanation: As long as they are 1 or above, 1 will be greater. If  you have a negative, it would be a no.

Rotation of PQRS by 90 degree.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's final shape and location. What are the four mathematical transformations?

Translation, rotation, reflection, and enlargement. You must be able to carry out each transformation and recognize which ones have already been done.

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Answer:

4 2/3hrs not fraction 3hrs

Step-by-step explanation:

10hrs=1person

x=2people

cross multiple

(a) 10×2÷1=20

step 2 6hrs when together

you ÷ by 2=3hrs

son works for 3hrs

step 3 ) 20-6=14

14/3 ÷ and get 4 2/3

The statement that could be true for the function g is: OA. g(-13) = 20.A is correct answer.

To determine which statement could be true for the function g, we need to examine the given information about the domain, range, and specific function values.

Given information:

Domain: -20 ≤ x ≤ 5

Range: -5 ≤ g(x) ≤ 45

g(0) = -2

g(-9) = 6

Let's analyze each statement:

OA. g(-13) = 20

Since the domain is -20 ≤ x ≤ 5, and -13 falls within this range, it is possible for g(-13) to be 20. This statement could be true.

OB. g(7) = -1

The domain is limited to -20 ≤ x ≤ 5, and 7 is outside this range. Therefore, g(7) is not defined within the given domain. This statement cannot be true.

OC. g(0) = 2

From the given information, we know that g(0) = -2. Therefore, g(0) cannot be 2. This statement cannot be true.

OD. g(-4) = -11

Since the domain is -20 ≤ x ≤ 5, and -4 falls within this range, it is possible for g(-4) to be -11. This statement could be true.

Based on the given information, the statement that could be true for the function g is:

OA. g(-13) = 20

Please note that there may be other statements that could be true for the function g, but based on the given options, option OA is the most plausible one. A is correct answer.

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The test statistic is 1.177, and the p-value is approximately 0.120, which is greater than the significance level of 0.05, indicating that there is not enough evidence to conclude that the proportion of defective circuit boards is greater than 3%.

To test the hypothesis that more than 3% of circuit boards are defective, we can use a one-tailed test with the following null and alternative hypotheses:

\(H_0\): p ≤ 0.03 (proportion of defective boards is less than or equal to 3%)

\(H_a\): p > 0.03 (proportion of defective boards is greater than 3%)

where p is the true proportion of defective boards in the population.

To calculate the test statistic, we can use the following formula:

z = (p-cap - p0) / √(p0(1-p0)/n)

where p is the sample proportion of defective boards, p0 is the hypothesized proportion (0.03), and n is the sample size.

In this case, we have p-cap = 0.04, p0 = 0.03, and n = 100, so the test statistic is:

z = (0.04 - 0.03) / √(0.03(1-0.03)/100) = 1.177

To determine the p-value associated with this test statistic, we can use a standard normal distribution table or a calculator to find the probability of observing a z-value of 1.177 or greater under the null hypothesis. This probability is approximately 0.120, which is the area to the right of z = 1.177 on the standard normal distribution curve.

Since this p-value is greater than the common significance level of 0.05, we fail to reject the null hypothesis.

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Given the following question:

Which equation is equivalent to logx 36 = 2

Now we have to find the option that also equals 6:

Starting with Option B:

Your answer is option B.

Answer:

I never had this question but trying to help according to formula

let b=12

let h=3

According to given formula,

a=bh÷2

a=(12×3)÷2

a=36÷2

a=28in2

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

\(\huge{\boxed{\boxed{\tt { ⎆ \ Pythagorean \ Theorem :-}}}} \ \)

\(a {}^{2} + b {}^{2} = c {}^{2} \)

This is the formula for the pythagorean theorem i.e, one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.

Answer:

\(a^2+b^2=c^2\) is the formula for the Pythagorean Theorem

Step-by-step explanation:.

The Pythagorean Theorem, also referred to as the ‘Pythagoras theorem,’ is arguably the most famous formula in mathematics that defines the relationships between the sides of a right triangle. This mathematical law states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.

Answer:

\(m = \frac{11}{12} \)

Step-by-step explanation:

m= (y2-y1) / (x2-x1)

m = 19 - (-3) / 19 - (-5)

m = 22 / 24

m = 11/12

Rectangle ABCD is a square.

Relation between rectangle and square?

Squares and rectangles each have four straight sides. However, a square's and a rectangle's mathematical characteristics are very dissimilar. For instance, a common distinction is that squares have equal sides on each side, whereas only the opposite sides of a rectangle are equal.

Radius of circle R = 4cm

let sides of rectangle is a,b

let rectangle be ABCD in which AB =CD= a , AC=BD=b

ACD is right angled triangle on C.

Then,

\(AD^{2} =AC^{2} +CD^{2} \\\\8^{2} =b^{2} +a^{2} \\\\64=b^{2} +a^{2} \\\\b^{2} =\sqrt{64-a^{2} }\)------(1)

Area of rectangle = Area of ΔACD + ΔABD

                             = \(\frac{1}{2} \times a\times b + \frac{1}{2} \times a\times b\)

Area of rectangle = a×b

by eqn (1)

             Area = \(a\times (\sqrt{64-a^{2} } )\)

For maximum area

\(\frac{dA}{da} =0\\\\a \times \frac{1}{\sqrt{64-a^{2} } } (-a)+(\sqrt{64-a^{2} } )\times(1)=0\)

\(\sqrt{64-a^2} -\frac{a^2}{\sqrt{64-a^2} } =0\\\\\frac{64-a^2-a^2}{\sqrt{64-a^2} } =0\\\\64-2a^2=0\\\\a^2=32\\\\a=\sqrt{32} \\\\In (1) eqn\\b=\sqrt{64-a^2} \\\\b=\sqrt{64-32} \\\\b=32\)

So, a=b

Means Rectangle ABCD is a square.

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Step-by-step explanation:

x²-8x-9=0

x²-9x+1x-9=0

x(x-9)+1(x-9)=0

(x+1)(x-9)=0

x+1=0 x-9=0

x=-1 x=9

One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , so

11x - 14 = 7x + 10 ( subtract 7x from both sides )

4x - 14 = 10 ( add 14 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Answer:

2 lawns : $50

Step-by-step explanation:

89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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The hourly rate will be $21.6

Taxes are money charged from the good bought or sold. Given the following parameters

Amount received = $826.60

Tax paid = $91.40

Balance = 826 - $91.40

Balance = $734.6

This shows that the man collected $734.6 for a 34 hours work. The hourly rate will be;

Hourly rate= $734.6/34

Hourly rate= $21.6

Hence the hourly rate will be $21.6

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Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = \(\frac{f(b) - f(a)}{b - a}\)

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

\(\frac{f(b) - f(a)}{b - a}\) = -24/2 = -12

Answer:

100

Step-by-step explanation:

first we need to turn the feet into inches

20x12=240

30x12=360

now to get the area of the floor we need to do 360x240=

86,400

now the area of each tile is 24x36=864

now to find out how many tiles fit on the floor we need to do 86,400 divided by 864 which = 100

The equality of segments AB and CD implies that the distances from the center of the circle P to points A and C are equal, leading to the conclusion that angle BCX and angle A are congruent.

To understand why angle BCX is equal to angle A, we need to analyze the properties of tangents and circles.

First, let's consider the tangent line BX and the circle P. By definition, a tangent line to a circle intersects the circle at exactly one point, forming a right angle with the radius drawn to that point. Therefore, angle BXP is a right angle.

Now, let's examine the segment AB, which is equal to segment CD according to the given information. If two chords in a circle are equal in length, they are equidistant from the center of the circle. Since AB = CD, the distances from the center of the circle P to points A and C are equal.

Since angle BXP is a right angle, the line segment XP is the radius of the circle P. Consequently, XP is equidistant from points A and C, meaning that it is also the perpendicular bisector of segment AC.

As a result, segment AC is divided into two equal parts by line XP. This implies that angle BXC and angle AXB are congruent, as they are opposite angles formed by intersecting lines and are subtended by equal chords.

Since angles BXC and AXB are congruent, and angle AXB is denoted as angle A, we can conclude that angle BCX is equal to angle A. Therefore, angle BCX = angle A.

In summary, the equality of segments AB and CD implies that the distances from the center of the circle P to points A and C are equal, leading to the conclusion that angle BCX and angle A are congruent.

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Total 205 students should be polled so that we can estimate p to within 0.09 using a 99% confidence interval.

We have given that

Estimate of the proportion of students

= p

Confidence interval = 99%

As we know that the margin of error for the confidence interval is ,

MOE = Z ×√(p × (1-p)) / n

Where Z is z-score for

p --> estimate proportion confidence interval

n --> sample size

margin of error = 0 .09,

so we can set the equation as,

0.09 = Z×√(p×(1-p)) / n

Using the Z-table , the Z value for a 99% confidence interval is 2.575..

we will use p = 0.5 (since we are not given any information about value of p).

plugging all known values in above formula we get, 0.09 = 2.575√(0.5(0.5))/n

=> 0.0349 = √0.25/ n

=>0.00122 = 0.25/n

=> n = 204.6489

Since we get a decimal and we need our answer in number of students to sample, we round up to n = 205.

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Let's expand both options, your friend's and yours, as shown below

Then, both equations are the same besides a constant that will not affect the zeros of the functions, as shown below

And

Both your friend and you are correct. The functions are the same with exception of a constant that multiplies the whole function (a scale factor); despite that, the zeros are the same for both functions

Answer:

18

Step-by-step explanation:

make a ratio relation:

3 trainers : 12 dogs

x trainers : 72 dogs

3/12 = x/72

solve for x, and you get 18

The number of trainers needed are 18.

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where  is a common factor (not 1) This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Given that  there are 3 trainers assigned for every 12 dogs At Doggy Daycare, 72 dogs enrolled on Tuesday.

Now we will make a ratio relation:

3 trainers : 12 dogs

x trainers : 72 dogs

The ratio will be;

3/12 = x/72

To solve for x,

3/12 = x/72

3/12 (72) = x

x = 18

Hence, the number of trainers needed are 18.

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The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Answer:

Explanation:

Given:

5/8 = 0.625

2/3 = 0.667

60% = 0.6

0.59

0.70

Now, we sort the numbers from least to greatest.

0.59, 60%, 5/8, 2/3, 0.70

Therefore, the answer is:

0.59, 60%, 5/8, 2/3, 0.70

anwser is -3

hope this helps :)

Answer:

average rate of change =   (-1 - 4) / 1 - (-4) = -5 / 5 = -1

Step-by-step explanation:

hope i helped you let me know if its right <3 :)