Just need help on one answer I’ll give Brainly!

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Answer:

10 ft above sea level

Step-by-step explanation:

20 below goes up by 30 then it would be -20 -10 0 10

Answer:

$557.48

Step-by-step explanation:

Have a great day! ;)

Answer:

514.99*8.25%=42.49

514.99+42.49=557.48

557.48

Answer:

He needs \(\frac{7}{134}\) 2-litre containers in a week.

Step-by-step explanation:

1 day --- 1 pint

1 week --- 7 × 1 pint = 7 pints

1 litre --- 134 pints

2 litres --- 2 × 134 pints = 268 pints

268 pints --- 2 litres

7 pints --- \(\frac{7}{268}\) × 2 litres = \(\frac{7}{134}\) 2-litre containers

Step-by-step explanation:

given f(x) = 2/x and g(x) = 2/x

f(g(x)) = 2/(g(x)) = 2/2/x = x/2 × 2 = x

g(f(x)) = 2/(f(x)) = 2/2/x = x/2 × 2 = x

therefore they are inverses

since f(g(x)) = g(f(x)) = x.

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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When the amount is accrued by the interest given for the number of months given, the amount becomes $ 1, 231. 56

The accrued amount when given the amount, the interest rate, and the number of periods, can be found by using the future value formula which is :

= Amount x ( 1 + rate ) ^ number of periods

The amount is $ 1, 200

The rate is given as an annual rate and so needs to be converted to a periodic rate in months :

= Rate / Number of months in year

= 3. 9 % / 12

= 0. 325 %

The future value becomes :

= 1, 200 x ( 1 + 0. 325 %) ⁸

= 1, 200 x 1. 00325 ⁸

= 1, 200 x 1.026297680

= $ 1, 231. 56

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Answer:

Rounding to the nearest foot, the distance from point A to point B is 719 feet.

Answer:

12

Step-by-step explanation:

The measure of angle ∠A will be 60° for the given triangle.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that the two angles are ∠B = ( 3y + 6 )°, ∠A = (4y)° and the exterior angle ∠C = 111°.

The measure of the angle ∠A will be,

( 3y + 6 ) +  (4y) = 111

7y = 111 - 6

7y = 105

y = 105 / 7

y = 15

The angle ∠A will be,

∠A = 4 x 15

∠A = 60°

Therefore, the angle ∠A will be 60°.

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Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem is given as follows:

\(a_1 = -32, q = -\frac{1}{4}\)

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

\(a_{n + 1} = -\frac{1}{4}a_n\)

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Answer:

144

Step-by-step explanation:

Answer:

\(y\le-\frac{1}{4}x^{2}+\frac{1}{2}x+12\)

Step-by-step explanation:

It has to have a y-int of +12 so that eliminates the first 2.

It needs to be contained inside the parabola therefore the x^2 value needs to be negative.

It needs to be shifted 1/2 to the right, therefore it needs a pos x value.

Hope that helps

The probability of drawing a 6-card hand that has exactly one queen is about 0.054, or 5.4%.

The following combination formula determines the total number of 6-card hands that can be selected from a deck of 52 cards:

C(52, 6) = 52! / (6! * 46!) ≈ 20,358,520

The following combination formula determines the total number of 6-card hands that can be selected from a deck of 52 cards: This can be done in the:

C(4, 1) * C(48, 5) = 4 * (48! / (5! * 43!)) ≈ 1,098,240

ways.

Therefore, the probability of receiving a six-card hand that contains exactly one queen is:

P(one queen) = 1,098,240 / 20,358,520 ≈ 0.054

Therefore, The probability of drawing a 6-card hand that has exactly one queen is about 0.054, or 5.4%

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Answer:

see the work below

Step-by-step explanation:

20.)    x = √32²+32² = √2048 = 45.25

y = 32(sin60) = 27.7

z = 32(cos60) = 16

22.)   x = 7√3 / cos60 = 24.25 = 14√3

y = 14√3 / tan30 = 42

sin30 = 14√3 / (z+7√3)

z + 7√3 = 14√3 / sin30

z = 14√3/√sin30 - 7√3 = 36.37 = 21√3

24.) z = 18(tan30) = 10.4

h = √10.4² + 18² = √432 = 20.785

x = y

2x² = 20.785²

x = √20.785²/2 = 14.7

y = 14.7

Answer:

Question 20:

Question 22:

Question 24:

Step-by-step explanation:

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.  Therefore, the formula for the ratio of the sides is b : b : b√2 where:

A 30-60-90 triangle is a special right triangle where the measures of its sides are in the ratio  1 : √3 : 2.  Therefore, the formula for the ratio of the sides is c: c√3 : 2c where:

Side x is the hypotenuse of a 45-45-90 triangle with congruent legs measuring 32 units. Therefore b = 32.

\(\implies x=b\sqrt{2}=32\sqrt{2}\; \sf units\)

Side y is the side opposite the 60° angle in a 30-60-90 triangle with a hypotenuse of 32 units. Therefore, 2c = 32 so c = 16.

\(\implies y = c\sqrt{3}=16\sqrt{3}\; \sf units\)

Side y is the side opposite the 30° angle in the same 30-60-90 triangle.

\(\implies z=c = 16\; \sf units\)

Side x is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 7√3 units. Therefore c = 7√3.

\(\implies x=2c=2 \cdot 7 \sqrt{3}=14\sqrt{3}\; \sf units\)

Therefore, other leg of the same triangle (opposite the 60° angle) measures c√3 = 7√3 · √3 = 21 units.

Side y is the hypotenuse of a 30-60-90 triangle with the leg opposite the 30° angle measuring 21 units. Therefore c = 21.

\(\implies y=2c=2 \cdot 21 = 42\; \sf units\)

Side z is the leg of the same 30-60-90 triangle opposite the 60° angle.

\(\implies z=c\sqrt{3}=21\sqrt{3}\; \sf units\)

Side z is the side opposite the 30° angle in a 30-60-90 triangle with the other leg (opposite the 60° angle) measuring 18 units. Therefore, c√3 = 18, so c = 18/√3 = 6√3 units.

\(\implies z=c = 6\sqrt{3}\; \sf units\)

Therefore, the hypotenuse of the same triangle measures 2c = 12√3 units.

Sides x and y are the congruent legs of a 45-45-90 triangle with hypotenuse measuring 12√3 units. Therefore b√2 = 12√3, so b = 6√6.

\(\implies x=6 \sqrt{6}\; \sf units\)

\(\implies y=6 \sqrt{6}\; \sf units\)

Since it has no impact on the result or solution of the problem, assuming that a > d does not reduce the generality of the statement. If a > d, the issue can be solved by simply swapping the values of a and d.

It makes no difference to the problem whether an is more or less than d because we are presuming that each integer is distinct. Furthermore, by supposing that a > d, the problem's variables can be arranged consistently, making it simpler to comprehend and resolve. As a result, making the assumption that a > d does not reduce the generality of the solution because the problem remains the same and the assumption may be readily changed if necessary.

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By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is \(V=\pi r^2h\)

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

\(\pi 7^2(17)\\\pi (49)(17)\\833\pi \\\)

833π is about 2616.95

Rounded to the nearest whole number it is 2617

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).

To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.

There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.

Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.

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For a game, Bob has a total of 60 adventure cards. The distribution of cards, c, to players, p, is shown in the table. c = 60 ÷ p

Probability defines the possibility of occurrence of an event. Probability is the unit of measurement for an event's likelihood. It represents the proportion of positive results to all results. For instance: Receiving the numbers 3 and 5 while rolling the dice, as well as getting both an even and an odd number.

The equation would read: c = 60 / 2, which implies c = 30 if p=2. The equation would read 12 = 60 / p, p = 5, 20 = 60 / 3, etc. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.

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The composition of the fuctions g(x) and f(x) evaluated in x = 4 is equal to:

g( f(4)) = 45

Here we have two functions f(x) and g(x), such that:

g(x) = 3.25*x + 6

And f(x) is defined by the table:

x            f(x)

-2            -1

0             3

 4            12

7              9

19             6

And we want to find the composition of g(x) and f(x) evaluated in x = 4.

g( f(4))

By using the table of f(x), we can see that f(4) = 12

Then:

g( f(4)) = g(12)

Evaluating g(x) in x = 12 we get:

g(12) = 3.25*12 + 6 = 45

Then we conclude that g( f(4)) = 45

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Answer:

b and c

Step-by-step explanation: If you subtract 23 from 23/ 23-23=0 and 23-(-23)= 0. Hope this helps!

James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A class is playing a game where they add or subtract numbers to come up with another target number.

James can do 23 to turn it into 0 by adding a negative number 23 or subtracting a number 23. Then the correct options are B and C.

⇒ 23 + (-23)

⇒ 23 - 23

⇒ 0

⇒ 23 - 23

⇒ 0

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Answer:

J. 12 : 18

Step-by-step explanation:

Amy used 2 tea bags for every 3 cups of water to make iced tea

the ratio here is 2:3

x = 2:3

lets simplify our ratios

6 : 10 = 3 : 5 ≠ 2 : 3

5 : 6 = (doesn't simplify evenly) ≠ 2 : 3

9 : 15 = 3 : 5 ≠ 2 : 3

12 : 18 = 2 : 3 = 2 : 3

find their highest common factor and divide both the numbers by the same amount (HCF).

Ex.

12 : 18

12 ÷ 6 = 2

18 ÷ 6 = 3

2 : 3

Answer:

I think its C

Step-by-step explanation:

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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