112 +18 x 14 ÷ 14 - 14
A. 12
B. 18
C. 116
D. 130

Answer:

-6x + 8(-x+6) = 6

Step-by-step explanation:

x+y = 6 => y = 6-x  ..............(1)

Substitute y (1) in

-6x+8y = 6 .......................(2)

to get

-6x + 8(6-x) = 6

or equivalently

-6x + 8(-x+6) = 6

Answer:

It should equal zero or seven. I think is zero

Answer:These words are point, line and plane, and are referred to as the "three undefined terms of geometry".

Pythagoras theorem states that in a right angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. We can represent the length of the hypotenuse as "c", and the lengths of the other two sides as "a" and "b". So the equation is:

c² = a² + b²

To form an equation in x we can use a and b as variable, so we can substitute a = x and b = x-3, the equation becomes:

c² = x² + (x-3)²

To solve for c we can expand the second square and get:

c² = x² + x² - 6x + 9

Now we can add x² on both sides and get:

x² + x² = 6x - 9 + c²

We can combine like terms and get:

2x² = 6x - 9 + c²

Now we can move all the terms to one side and get:

2x² - 6x + 9 - c² = 0

Now we have an equation of a quadratic form with variable x, which can be solved using the quadratic formula.

x² = (6/2)x - 9/2 = 3x - 9/2 = 3x - 4.5 = 0

It can also be factored to get the solutions x = 4.5, x = 0

So the solutions to this equation are x = 4.5, x = 0.

The probability that a person will wait for more than 66 minutes is 0.1587

Given;

The time spent waiting in line is approximately normally distributed with the mean will be ' X '.

The mean given is μ = 44 minutes

The standard deviation is δ = 22 minutes

The probability that a person will wait for more than 66 minutes is;

P ( X > 66 ) = P [ X - μ/δ > 66 - μ/δ]

                  = P [Z > 66 - 44 / 22]

                  = P [Z > 1]

                  = 1 - P(Z ≤ 1)

                  = 1 - 0.8413

                  = 0.1587

The probability that a person will wait for more than 66 minutes is 0.1587.

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Answer:

it is There are 4 cups of water for each cup of sugar

Step-by-step explanation:

The option (c)  all patients in a local hospital makes up the population

Surveys are a commonly used method for collecting data in various fields, including healthcare. They can provide valuable insights into patients' experiences, opinions, and preferences, which can help healthcare providers improve their services.

In this case, the survey was conducted among patients in a local hospital, and the results showed that 62.42% of the respondents believed that healthcare providers needed to spend more time with each patient.

The answer is not immediately obvious, but we can make some inferences based on the information given. However, we cannot generalize the results to all patients in the area or the entire population.

Third, surveys cannot account for all the factors that may influence the results, such as demographic characteristics, health status, or cultural background.

Therefore, we can conclude that the population under study is "patients in a local hospital" who participated in the survey.

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Therefore, the product of the radical expression (7 - sqrt(2))(8 + sqrt(2)) is 54 - sqrt(2).

To find the product of the given radical expression, we can use the FOIL method, which stands for First, Outer, Inner, Last.

(7 - sqrt(2))(8 + sqrt(2))

= 7(8) + 7(sqrt(2)) - (sqrt(2))(8) - (sqrt(2))(sqrt(2))

= 56 + 7sqrt(2) - 8sqrt(2) - 2

= 54 - sqrt(2)

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the slope will be positive cuz the line goes / as it goes right.

rise/run = slope

slope = 6/4 = 3/2

y = 3/2 + b

b is the y intercept

y = 3/2x - 3.5

hope this helps

Answer:

3 1/5

Step-by-step explanation:

you divide 16 by 5 (which is 3 with one left over)

3 is your whole number and because there is one left over, that becomes your new neumerator, and the denominator always says the same

Meta-analysis is a research technique that involves systematically reviewing and statistically synthesizing data from multiple studies on a particular research question or topic.

The goal of meta-analysis is to provide a comprehensive summary of the existing evidence by combining the results of individual studies, which may have produced conflicting or inconclusive findings.

Meta-analysis typically involves a systematic search for relevant studies, followed by an evaluation of their quality and an extraction of relevant data. The data from the studies are then combined using statistical methods to produce an overall effect size estimate, such as a mean difference or odds ratio.

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(a) g(2, -1) = 1. (b) The domain of g is -2 ≤ x ≤ 2 and -1 ≤ y ≤ 1. (c) The range of g is [-1, 1] (using interval notation).

(a) Evaluating g(2, -1):  

G(x, y) = cos(x + 2y)

Substituting x = 2 and y = -1 into the function:

G(2, -1) = cos(2 + 2(-1))

        = cos(2 - 2)

        = cos(0)

        = 1

Therefore, g(2, -1) = 1.

(b) Finding the domain of g:

The domain of g is the set of all possible values for the variables x and y that make the function well-defined.

In this case, the domain of g can be determined by considering the range of values for which the expression x + 2y is valid.

We have:

-2π ≤ x + 2y ≤ 2π

Therefore, the domain of g is:

-2 ≤ x ≤ 2 and -1 ≤ y ≤ 1.

To find the domain of g, we consider the expression x + 2y and determine the range of values for x and y that make the inequality -2π ≤ x + 2y ≤ 2π true. In this case, the domain consists of all possible values of x and y that satisfy this inequality.

(c) Finding the range of g:

The range of g is the set of all possible values that the function G(x, y) can take.

Since the cosine function ranges from -1 to 1 for any input, we can conclude that the range of g is [-1, 1].

The range of g is determined by the range of the cosine function, which is bounded between -1 and 1 for any input. Since G(x, y) = cos(x + 2y), the range of g is [-1, 1].

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Answer:

?

Step-by-step explanation:

54,675+33,548,000x^1+a^2=

get rid of ^1 cuz that doesn't change the value

a^2 can be written as 2a because a^2= a*a and 2a= a*a

54,675+33,548,000x+2a

54,675+33,548,000x= -2a-54675

33,548,000x=-2a-54675

16774000x=-a-27337.5

x=-a - 27337.5

x=-a-27337.5/ 16774000

I obviously know this isn't a real question but here

Answer:

Step-by-step explanation:hey Karlie

Answer:

65, 65, 115

Step-by-step explanation:

Attached image

The ordered pair (0, 0) and (1, 5) has slope 5 as the equation y = 5x thus option (d) is correct.

A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.

Slope = Tanx where x will be the angle from the positive x-axis at that point.

The linear equation is given as, y = mx + c here m is the slope.

By comparing y = 5x. slope m = 5.

The slope associated with two points (x₁, y₁) and (x₂, y₂) is given by

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of (0, 0) and (1, 5) = (5 - 0)/(1 - 0) = 5

So they have the same slope.

Hence "The slope of the pair (0, 0) and (1, 5) is 5 since y = 5x".

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Answer:

draw a graph and plot the points to make it linear

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 14 ​minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 18 minutes. A. Write the equation. Let d be the distance of the flowerbed from the hive. B. how far away is the hive from the flower bed.

First we need to calculate the time taken by the bee to fly to a flowerbird to its hive using the formula;

Speed = Distance/Time

Time = Distance/Speed

If a bee flies at 12 feet per second directly to a flowerbed from its hive, then the time taken by the bee is expressed as;

t1 = d/12 ....... 1

If the bee then flies directly back to the hive at 8 feet per second, the time taken by the bird will be:

t2 = d/8 ....... 2

Total time taken by the bee to and fro will be the sum total of both times;

t1+t2 = d/12+d/8

t11+t2 = 2d+3d/24

t1+t2 = 5d/24 ........ 3

If the bee stays at the bee stays at the flowerbed for 14 ​minute and away from the hive for 18minutes, the total time used by the bird during the journey will be 18-14 = 4 minutes

converting 4 minutes to seconds

4 minutes = 4*60 = 240seconds

The equation that can be used to find the distance of the flowerbed from the​ hive is gotten by equating equation 3 to  the total time used by the bird during the journey i.e;

5d/24 = 240

5d = 24*240

5d = 5760

b) To know how far is the flowerbed from the​ hive, we will solve the resulting equation in a for the value of d as shown

Given 5d = 5760

Divide both sides by 5

5d/5 = 5760/5

d = 1152ft

Hence the distance of the flowerbed from the​ hive is 1152ft

The tangent of the smaller acute angle in a right triangle is tanФ = 5/12 taking side 5 as opposite side and 12 as adjacent side.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent or (base and perpendicular)

The Formula of tangent is opposite side/ adjacent side

Given, a right triangle with side lengths 5, 12, and 13.

We can see that largest side i.e., 13 is a hypotenuse of triangle and other two sides are base and perpendicular length.

Tangent taking side 5 as opposite side and 12 as adjacent side

tanФ = 5/12.

Tangent taking side 12 as opposite side and 5 as adjacent side

tanФ = 12/5

so, the  tangent of the smaller acute angle in a right triangle is 5/12.

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The largest amount of money she could have is: (3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

To find the largest amount of money Tasha could have with 8 coins in her pocket, we need to consider the different combinations of coins she could have. Since she has no more than 3 of any coin, the possibilities are:

- 3 quarters, 2 dimes, 1 nickel, 2 pennies = $0.81
- 3 quarters, 2 dimes, 2 nickels, 1 penny = $0.80
- 3 quarters, 2 nickels, 3 pennies = $0.78
- 3 quarters, 1 dime, 3 nickels, 1 penny = $0.76
- 3 quarters, 1 dime, 2 nickels, 3 pennies = $0.74
- 3 quarters, 1 dime, 1 nickel, 4 pennies = $0.73
- 2 quarters, 3 dimes, 1 nickel, 2 pennies = $0.70
- 2 quarters, 3 dimes, 2 nickels, 1 penny = $0.69
- 2 quarters, 2 dimes, 3 nickels, 1 penny = $0.68
- 2 quarters, 2 dimes, 2 nickels, 2 pennies = $0.67

Therefore, the largest amount of money Tasha could have is $0.81 with 3 quarters, 2 dimes, 1 nickel, and 2 pennies.

To maximize the amount of money Tosha could have with 8 coins and no more than 3 of any coin, she should carry the coins with the highest denominations. In this case, she can have 3 quarters (25 cents each), 3 dimes (10 cents each), and 2 nickels (5 cents each). The largest amount of money she could have is:

(3 x 25 cents) + (3 x 10 cents) + (2 x 5 cents) = 75 cents + 30 cents + 10 cents = 115 cents or $1.15.

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Answer:

-4/7 - 7.83673469388x

Step-by-step explanation:

-4/7 + 2/7x - 14x × 4/7

2/7x - 14x

-4/7 + -13.7142857143x × 4/7

-4/7 -7.83673469388x

The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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Answer:

3 or 6.67%

Step-by-step explanation:

I'm assuming you want how much cars his prediction was off or how much percent

48 - 45 = 3

3/45 = 6.67%

Let's simplify the above expression :

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

We have given that,

Two overlapping triangles

Here we have the angle Z and 52

The sum of the all angle in a triangle is 180 degrees.

Therefore we have

The Z+43+52+40=180

Z+125=180

Z=55

Therefore in a triangle degree 52 degrees and 40 degree

y+52+40=180

y+92=180

y=180-92

y=88 degrees

For the angle x, we have

x+15+40+52=180

x+107=180

x=180-107

x=73

The value of the angles x,y, and z is 73 degrees,88 degrees, and 55 degrees.

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The complete table when Noah is running a marathon at a constant speed of 6 miles per hour is mentioned below:

Time                 Distance

 1                           6

 1/2                        3

 \(1\frac{1}{3}\)                         8

 \(1\frac{1}{2}\)                         9

  9                        54

 \(4\frac{1}{2}\)                        27

The running speed of Noah is 6 mph.

The formula for distance is given as:

D = v × t

Where D is the distance, v is the speed and t is the time.

Now,

When t = 1 hour,

D = 6 × 1 = 6 miles

When t = 1/2hour,

D = 6 × 1/2 = 3 miles

When t = \(1\frac{1}{3}\) hour,

D = 6 × \(1\frac{1}{3}\) = 6 × 4/3 = 8 miles

When t = \(1\frac{1}{2}\) hour,

D = 6 × \(1\frac{1}{2}\) = 6 × 3/2 = 9 miles

When t = 9 hours,

D = 6 × 9 = 54 miles

When t = \(4\frac{1}{2}\) hour,

D = 6 × \(4\frac{1}{2}\) = 6 × 9/2 = 27 miles

Therefore, the table will be:

Time                 Distance

 1                           6

 1/2                        3

 \(1\frac{1}{3}\)                         8

 \(1\frac{1}{2}\)                         9

  9                        54

 \(4\frac{1}{2}\)                        27

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The statement "m∠A + m∠B + m∠C + m∠D = 360˚" is true, and it demonstrates that the sum of the interior angles of a parallelogram is equal to 360 degrees.

By definition of a parallelogram, AD is parallel to BC and AB is parallel to DC. Using AD as a transversal, angle A and angle D are same-side interior angles, so they are supplementary (add up to 180 degrees). Similarly, using AB as a transversal, angle B and angle C are same-side interior angles, so they are supplementary.

By definition of supplementary angles, we know that the sum of the measures of angle A and angle D is equal to 180 degrees, and the sum of the measures of angle B and angle C is also equal to 180 degrees.

Therefore, the sum of the measures of all four interior angles of the parallelogram is:

m∠A + m∠B + m∠C + m∠D = (m∠A + m∠D) + (m∠B + m∠C) = 180 + 180 = 360 degrees.

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The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.

Hence, the correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

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All the values are,

a)  lim x → 3 [ 2 f (x) - g (x)] = 18

b)  lim x → 3 [ 2 g (x) ]² = 16

c)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ] = - 1

We have to given that;

Limits are,

lim x → 3 f (x) = 8

lim x → 3 g (x) = - 2

lim x → 3 h (x) = 0

Now, We can simplify all the limits as;

1) lim x → 3 [ 2 f (x) - g (x)]

⇒  lim x → 3 [ 2 f (x)] -  lim x → 3 [ g (x) ]

⇒ 2  lim x → 3 [  f (x) ] - (- 2)

⇒ 2 × 8 + 2

⇒ 16 + 2

⇒ 18

2)  lim x → 3 [ 2 g (x) ]²

⇒ 4 [ lim x → 3  g (x) ]²

⇒ 4 × (- 2)²

⇒ 4 × 4

⇒ 16

3)  lim x → 3 [ ∛ f (x) / g (x) ] +  lim x → 3 [ 4 h (x) / x + 7 ]

⇒ ∛8 / (- 2) + 4 × 0 / (3 + 7)

⇒ - 2/2 + 0

⇒ - 1

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Answer:

Part A: x⁴ + x³ + x²

Part B: (4·x + 2) + (-5·x + 6) = -x + 8

Step-by-step explanation:

Part A:

We note that standard form means that the terms of the polynomial are arranged in order starting from the the largest exponential of the polynomial to the smallest exponent

Therefore, we have

x⁴ + x³ + x² is a fourth-degree polynomial with three terms in standard form

It is known that the above polynomial is in standard form based on its ordered arrangement from the largest exponential to the smallest exponential

Part B:

Polynomial are closed under addition, that is when two polynomials are added only the coefficients change as the exponents and variables remain unchanged as follows;

(4·x + 2) + (-5·x + 6)

= 4·x + 2 - 5·x + 6

= 4·x - 5·x + 2 + 6

= -x + 8 which is a polynomial with the same variable and exponent.