HELP ME ASAP What is the best estimate of the solution to the system?

Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

[tex]\frac{-15b}{-15}[/tex] = [tex]\frac{45}{-15}[/tex]

9. Simplify

b = -3

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Answer:

WWWWWW

Step-by-step explanation:

Answer:

WE need to factorise (2x+4y)(2x−4y)

Given identity is (x+a)(x+b)=x

2

+(a+b)x+ab

Here x=2x,a=b=4y

Thus we have (2x+4y)(2x−4y)=(2x) 2

+(4y−4y)+(4y)(−4y)=4x2

−16y 2

Answer:

64

Step-by-step explanation:

16 ÷ 12 = 1.33 (rounded to 2 decimal places)

1.33 = scale factor

1.33² = area scale factor

1.33² × 36 = 64 (rounded to a whole number)

Answer: 64 would be the area

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

A. Poor understanding of HIV

B. Cognitive impairment

C. Substance abuse

D. Unstable housing

Answer:

A

Step-by-step explanation:

The others involve more multiplication and addition/subtraction rather than division.

There are 36^10 ways  that contain only digits and lower-case letters and having the length is 10.

What is password?

A password, also known as a passcode, is private information that typically consists of a string of characters and is used to verify a user's identity.

We have to find the number of ways that contain only digits and lower-case letters and having the length is 10.

Since, there are total 10 digits from '0 to 9' and 26 lower case letters from

'a to z'.

The 10 slots in the password can be anything - digits as lower case letters.

that is,

10 + 26 = 36 options for each slot.

So, the total number of ways are, 36^10.

Hence, there are 36^10 ways  that contain only digits and lower-case letters and having the length is 10.

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The expression that results from applying the law of indices and expression is 5x^(-7/3).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression. An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Here,

The resulted expression will be,

(125x)^(7/3)^(-1/3)

125=5^3

(a^n)^m = a^mn

(5x)^3^7/3^-1/3

(5x)^7*-1/3

5x^(-7/3)

The resulted expression will be 5x^(-7/3) using the law of indices and expression.

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If width i.e. x is 20 ft then the farmer will purchase the land.

Given,

width of land = x ft

length of land = ( x - 8 ) ft

Area of land =240 square feet

To determine x use formula,

Area of land =length * width

[tex]240=(x-8)*x\\\\240=x^2-8x\\\\x^2-8x-240=0\\\\x^2+12x-20x-240=0\\\\x(x+12)-20(x+12)=0\\\\(x+12)(x-20)=0\\\\x=-12\ or\ 20[/tex]

x cannot be negative.

x=20 ft

Thus, if width i.e. x is 20 ft then the farmer will purchase the land.

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The probability of a person guessing the right combination be

1/720.

Given, a small combination lock on a suitcase has ​wheels, each labeled with the 10 digits from 0 to 9.

we have to find the probability of a person guessing the right combination if there is no repeating of any digit.

as, we need three digit number to unlock the suitcase.

total combinations of the lock be,

10×9×8

= 720

only one combination can open the suitcase,

So, the probability of a person guessing the right combination be

1/720.

Hence, the probability of a person guessing the right combination be

1/720.

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Answer:

- 63

Step-by-step explanation:

Let's translate the sentences into expressions:

1. "product of negative 12 1/2 and 4.8" means:

      (-12 1/2)*(4.8)

    I'll simplify this by stating (-12.5)*(4.8)

2.   "three less than" means subtract 3, or

      -3

Now combine the two expressions:

   (-12.5)*(4.8) - 3

   (-60) - 3

= - 63

The location of the coin next to the convex side of a thin spherical glass shell is 3.68 cm.

According to the question,

Radius of curvature : 19 cm

Size of image formed : 1.5cm

Distance of coin from glass shell : 6.5cm

The position of the coin placed next to the convex side of a thin spherical glass shell is calculated as follows;

1/d = 1/f - 1/d'

where;

d' is the position of the coin's image

d position of the coin

f is focal length

Focal length = r/2 =19/ 2 = 9.5 cm

=> 1/d = 1/9.5 - (-1/6.5)

=> 1/d = 1/9.5 + 1/6.5

=> 1/d = 0.1052 + 0.1538

=> 1/d = 0.259

=>d = 1/0.259

d = 3.86 cm

Thus, the position of the coin placed next to the convex side of a thin spherical glass shell is 3.86 cm.

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Using law of sine and triangle rule, the value of n will be; 443 inches

The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for "solving a triangle".

We can apply the sine rule to find the missing angle or side of any triangle using the requisite known data.

The formula is given as;

a / sin A = b / sin B = c / sin C

In this triangle NOP, we can find the value of angle P then;

∠N +  ∠O  +  ∠P = 180

57 + 55 +  ∠P = 180  :

since Sum of angles in a triangle is equal 180 degrees

∠P= 180 - 112

∠P = 68

Using law of sine;

p / sin P = n / sin N

490 / sin68 = n / sin57

n = [(490 x sin 57) / sin 68]

n = 443 inches

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The probability that a randomly chosen death is a white person who died of diabetes is 0.024 determined using the law of total probability.

The law of total probability is a fundamental rule that connects marginal probabilities to conditional probabilities and expresses the total probability of an outcome via several distinct events. The rule states that if the probability of an event is unknown, it can be calculated using the known probabilities of several distinct events. It is given by P(A ∩ B) = P(A|B)P(B)

In order to determine the probability of an event (D) with not enough information to calculate it directly, a related event, say W can be taken and use that to calculate the probability for D.

Let the events that a person from a certain race die be denoted as:

P(W) = 0.86; P(B) = 0.12; P(A) = 0.02

Let the events that a person from a certain race dies of diabetes be denoted as:

P(D/W) = 0.0.028; P(D/B) = 0.044; P(D/A) = 0.035

Probability that a randomly chosen death is a white person who died of diabetes

P(W) x P (D/W) = 0.86 x 0.028 = 0.02408 ≈ 0.024

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Answer:

(65) (64)

Step-by-step explanation:

A+B+C=180

55+80+x=180

135+x=180

x=180-135

x=45

Answer:

2 2/3

Step-by-step explanation:

Answer: 75%

Step-by-step explanation:

9 + 3 = 12

9/12 = 3/4

3/4 = 75%

If the wheel rotates clockwise, the height function is h(t) = 28.5 + 22.5sin(270 - 36t).

The function's central axis for the height of the Ferris wheel's center is given by h = f(t).

= 6 + 45 ÷ 2 = 6 + 22.5 = 28.5 meters.

The wheel rotates at a speed of 36 degrees per minute since the period of revolution is 10 minutes.

The wheel's direction of rotation—clockwise or counterclockwise—is not specified.

Let's look at both situations:

The present angle, assuming it spins clockwise, is equal to 270 – 36t degrees, where t is the duration in minutes.

Then the height function h = f(t)

= 28.5 + 22.5sin(a)

= 28.5 + 22.5sin(270 - 36t)

If the wheel rotates anti-clockwise, the current angle is

b = 270 + 36t degrees.

Then the height function

h = r(t)

= 28.5 + 22.5sin(b)

= 28.5 + 22.5sin(270 + 36t)

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Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

8 3/5 is a number greater than 8 but minor than 9

Answer:-9.9   -7 7.9 9.7

Step-by-step explanation:

Answer:48?

Step-by-step explanation:

I as of now am not completely sure of this is the correct answer.

Answer:

Step-by-step explanation:

its 20

Answer:

1

Step-by-step explanation:

9/8.3 = 1.0843, rounded to the nearest whole number is 1

Answer: 14

Step-by-step explanation:

The equation to find slope is y2-y1/x2-x1 or in simpler terms is rise over run.

We see that the y increase by 14 so the rise is 14 and the x is the same so the run is 0. So the slope is 14.

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The speed of the runner calculated by the properties of average speed is given by 33.45 feet and the upper limit is 43.45 feet in the last 3 seconds.

The first three seconds of a race saw a runner's speed rapidly grow.

The time is therefore 3 seconds.

The table provides her speed at half-second intervals.

We are aware,

Distance x Time = Speed

Similarly

Distance equals speed x time.

Δt equals 0.5 seconds

Then, the minimum distance travelled overall is equal to

0.5(0 + 6.7 + 9.2 + 14.1 + 17.5 + 19.4).

Terms are multiplied and added.

= 0.5 × 66.9

= 33.45 feet

The maximum distance travelled is equal to

0.5 (6.7 + 9.2 + 14.1 + 17.5 + 19.4 + 20)

= 0.5 × 86.9

= 43.45 feet

As a result, her maximum distance in three seconds is 43.45 feet, and her maximum distance in three seconds is 33.45 feet.

Velocity is the rate at which an item's position changes as perceived from a certain point of view and as measured by a given unit of time (for example, 60 km/h northbound).

Velocity is also the direction at which an object is travelling. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.

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Answer:

b. 1 1/4

c. 11 3/8

d. 1 4/7

Step-by-step explanation:

b. 3 - 1 3/4

   2 4/4 - 1 3/4

   [4/4 - 3/4 = 1/4] and [2 - 1 = 1]

   1 + 1/4

   1 1/4

c. 7 3/8 + 4

   Add the whole numbers.

   11 3/8

d. 4 - 2 3/7

   3 7/7 - 2 3/7

   [7/7 - 3/7 = 4/7 and 3 - 2 = 1]

   1 + 4/7

   1 4/7

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Answer:

The goal is to make the denominators the same.

[tex]\frac{numerator}{denominator}[/tex]

Here's how to solve "b" (I explained it so you can do the other ones)

b.

[tex]3 - 1\frac{3}{4}[/tex]

Turn the 3 into a fraction (you can put any number over 1 and it will be the same)

[tex]\frac{3}{1} - 1\frac{3}{4}[/tex]

Next, let's turn the [tex]1\frac{3}{4}[/tex] into an "improper fraction". Right now, it is a mixed number. Multiply the denominator by the whole number on the left, and then add it to the numerator. The denominator will stay the same.

4 * 1 = 4

4 + 3 = 7

[tex]1\frac{3}{4}[/tex] → [tex]\frac{7}{4}[/tex]

Okay, so now we have this:

[tex]\frac{3}{1} - \frac{7}{4}[/tex]

This is getting easier! But to subtract, we have to make the denominators the same. Let's multiply the top and bottom of [tex]\frac{3}{1}[/tex] by 4.

[tex]\frac{3 * 4}{1 * 4} = \frac{12}{4}[/tex]

Now we have:

[tex]\frac{12}{4} -\frac{7}{4}[/tex]

One final step, subtract the numerators! Leave the denominators as they are.

12 - 7 = 5

Our answer is:

[tex]\frac{5}{4}[/tex]

The average number of hours that Ashley worked per day is obtained as follows:

Mean = sum of relative frequencies x outcome

The relative frequency table shows that absolute frequencies of the number of hours worked, that is, the number of days in which each amount of hours was worked.

Then the relative frequencies are obtained by the division of each of the absolute frequencies by the total number of outcomes, which is the sum of all the relative frequencies.

Finally, the mean value is obtained just like the mean of a discrete distribution, with the multiplication of each outcome by it's relative frequency obtained previously.

The problem is incomplete, hence I gave a general pattern to find the mean of the data-set.

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The power of the test, if the actual average fuel efficiency is 36 miles per gallon, is 0.5675.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a larger range.

We want to test [tex]\mu_0 > 35[/tex] at the level [tex]\alpha=0.01[/tex], where the true mean is [tex]\mu_1=36,\sigma\approx4, n=100[/tex]

The power of a right-tailed test is given by

[tex]1-\beta=P(Z > [z_\alpha-\frac{\sqrt{n}}{\sigma}(\mu_1-\mu_0)])\\\\1-\beta=P(Z > [2.33- \frac{\sqrt{100}}{4}(36-35)])\\\\1-\beta=P(z > -0.17)\\\\power=0.5675[/tex]

Hence, the power of the test, if the actual average fuel efficiency is 36 miles per gallon, is 0.5675.

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