Miranda is sewing some clothing. She has 77 yards of fabric to use. She uses 3 yards of fabric
to make a short-sleeved shirt and 18 yards of fabric to make a long-sleeved shirt.
Write the inequality in standard form that describes this situation. Use the given numbers and
the following variables.

We can see here that the solutions to the triangles are:

1. 62.2°.

2. 35.9°

3. 61.9°

4. 53.1°

We can see here that using trigonometric ratio formula, we find the values of x.

We see the following:

1. Cos x = 7/15 = 0.4666

x = \(cos^{-1}\) 0.4666 = 62.2°.

2. Sin x = 27/46 = 0.5869

x° = \(sin^{-1}\)  0.5869  = 35.9°

3. Sin x = 30/34 = 0.8823

x° = \(sin^{-1}\) 0.8823 = 61.9°

4. Tan x = 8/6 = 1.3333

x° = 1.3333 = 53.1°

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The scale of a map is the relationship between the distance on the map and the actual distance. In this case, the scale of the map is 1:4000, which means that 1 unit on the map represents 4000 units in the actual distance. To find the actual distance that is represented by 6.4 cm on the map, we need to convert the distance on the map to the same unit as the actual distance. Since 1 cm is equal to 0.01 m, 6.4 cm is equal to 6.4 * 0.01 = 0.064 m.

Now we can use the scale of the map to convert the distance on the map to the actual distance. We can set up the following proportion:

0.064 m / 1 = x / 4000

Where x is the actual distance in metres. Solving for x, we get:

x = 0.064 m * 4000 = 256 m

Therefore, the actual distance represented by 6.4 cm on the map is 256 m.

The probability of the first ignition occurring on the third trial is approximately 0.24% or 1 in 416.67.

To solve this problem, we can use the geometric distribution, which models the number of trials it takes to achieve success (in this case, a successful ignition).

The probability of success (ignition) on any given trial is 0.95, and the probability of failure (no ignition) is 0.05. Therefore, the probability of the first ignition occurring on the third trial is:

P(X=3) = \((0.05)^2 \times 0.95\)

This is because there must be two consecutive failures followed by a success on the third trial.

Simplifying this expression, we get:

P(X=3) = 0.002375

It's important to note that this assumes that each trial is independent and that the probability of ignition remains constant over time. In reality, the probability of ignition may vary depending on factors such as the age and condition of the lighter, so the actual probability may be slightly different.

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Answer:

26.25 minutes

Step-by-step explanation:

Given that :

Number of pages (p) read by Elias can be modeled by the function ;

p = 45m + 18

Where P = Number of pages ; m = number of minutes

Number of minutes it will take to read a total of 39 pages

p = 4/5m + 18

39 = 4/5m + 18

39 - 18 = 4/5m

21 = 4/5m

4m = 21 * 5

4m = 105

m = 105 / 4

m = 26.25

Answer:

50% = percent chang

Step-by-step explanation:

6 ÷ 50%

6 × .50 = 3

3 ÷ .50 = 6

Answer:

x represents the number of tickets per order and y represents the total cost of an order.

A moderately negative correlation between both of them variables is shown by the resultant correlation coefficient of -0.55.

We can construct a correlation matrix to determine the relationship between the number the group visits received and the fructosamine level. This indicates that the fructosamine level typically decreases as the amount of group visits increases.

This could imply that patients can keep better control of glucose, as seen by lower fructosamine levels, by participating in group visits and getting support or education about managing diabetes.

It's crucial to remember that a connection does not necessarily indicate a cause.

Further study is required to show a causal link between the fructosamine level and the number the group visits that participants attended. Overall, the moderately negative correlation points to some potential benefits of group visits for treating diabetes.

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Answer:

w = 5

Step-by-step explanation:

(3w - 1) ÷ 3 - (2w + 1) ÷ 3 = 1

(Graph, just switch w to x)

Answer:

higkygbjoknmmnnnbv

The value of 3/12 of 100 is 25 .

In the question ,

a fraction 3/12 is given ,

we have to find the value of 3/12 of 100 .

to find the value , we first convert both the numbers into fraction

So 100 in fraction form can be written as 100/1

So the value 3/12 of 100 means

= \(\frac{3}{12} *\frac{100}{1}\)

multiplying the numerator with numerator

and multiplying denominator with denominator .

we get = 300/12

on further  simplification ,

we have ,

= 75/3

= 25

So , 3/12 of 100 = 25

Therefore , The value of 3/12 of 100 is 25 .

The given question is incomplete , the complete question is

What is the value of 3/12 of 100 ?

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There is still an negative you have to change the subtraction sign to an addition sign ALONG with the negative number

Answer:

The mistake was converting the expresssion

Step-by-step explanation:

Answer: 41,200 minutes

Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes  to comeplete the 100-mile drive.

A regression model allows us to examine how the probability distribution of a dependent variable, Y, might be related to one or more independent variables (collectively called X). Therefore, the correct answer is (a) regression model.

A regression model is a statistical tool used to model the relationship between a dependent variable (often denoted as Y) and one or more independent variables (often denoted as X). It can help us understand how changes in the independent variables affect the values of the dependent variable, and can be used to make predictions or estimate values of the dependent variable based on specific values of the independent variables.

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The value of a₃₁ of the arithmetic sequence exists 77.4.

Given: a₅ = 12.4 and a₉ = : 22.4

For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists

where d = common difference

a₅ = 12.4,

a₁ + 4d = 12.4 .........(1)

Because a₉ = 22.4,

a₁ + 8d = 22.4 .........(2)

Subtract (1) from (2), we get

a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4

4d = 10

Dividing throughout by 4, we get

d = 2.5

From (1), we get

a₁ = 12.4 - 4 \(*\) 2.5 = 2.4

a₃₁ = 2.4 + 30 \(*\) 2.5 = 77.4

Therefore, the correct answer is a₃₁ = 77.4

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Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

Answer:

x=20.5

Step-by-step explanation:

Perimeter of rectangle = 2(L+B)

L- Length and B - Breadth

150 = 2( 2x+4 +30)

150÷2 = 2x + 34

75 = 2x + 34

2x = 75 -34

2x = 41

x = 20.5

The required differential equation is x'' + 0.67x' + 2.33x = 0.

The standard differential equation, which we use to represent a damped spring-mass system is written as:

m(d²x/dt²) + c(dx/dt) + kx = 0,

where m is the mass, c is the damping coefficient, k is the spring constant, x is the d²splacement, and the equation has been derived with respect to time t.

In the question, the

mass m = 3 kg,

spring constant k = 7 N/m,

damping constant c = 2N-s/m.

Differentiating x with time t, we take (d²x/dt²) = x'', and (dx/dt) = x'.

Substituting all the values in the standard differential equation, we get:

3x'' + 2x' + 7x = 0,

or, x'' + (2/3)x' + (7/3)x = 0 {Dividing by 3},

or, x'' + 0.67x' + 2.33x = 0, which is the required differential equation.

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The provided question is incorrect. The correct question is:

"Suppose a spring with a spring constant of 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3 kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 2 N⋅s/m. Set up a differential equation that describes this system. Let x denote the displacement, in meters, of the mass from its equilibrium position, and give your answer in terms of x, x′, x′′. Assume that positive displacement means the mass is farther from the wall than when the system is at equilibrium."

Answer:

56 degrees

Step-by-step explanation:

Coz they're corresponding angles

Since the value of cos and sin function is greater than 1 which is not possible and so the given expression does not have a valid solution.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,

We are given that,
cosA= 61/11 and sinB= 29/21 ​and angles A and B are in Quadrant I, and after that, we have to determine that tan(A−B).

Since we know that,
The maximum value of the cos and sin function is 1, but in the question we have

cosA = 61/11 ≥ 1

Thus, since the value of cos and sin function is greater than 1 which is not possible and so the given expression does not have a valid solution.

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The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

Pugs are natural cuddlers.

Pugs tend to be smart, observant, and quick learners. ...

Pugs are relatively low-maintenance.

With pugs, a little exercise goes a long way.

Pugs get along well with other animals

Step-by-step explanation:

please mark me as brainlist

Answer:

Her answer is right .... ....

ANSWER:
x=y/5
STEPS:
1. Divide each term in 5x=y

2. Simplify

----------------------
I hope this helped!! Much love <333

Therefore, the diagonal that connects the midpoints of the other two sides of the kite bisects the other diagonal.

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. A trapezoid can have two pairs of parallel sides, in which case it is called a parallelogram.

Here,

First, let's define what a trapezoid and a kite are:

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid.

A kite is a quadrilateral with two pairs of adjacent sides of equal length.

Now, let's look at some common trapezoid theorems and how to prove them:

The bases of a trapezoid are parallel.

To prove this theorem, we can use the fact that opposite angles of a parallelogram are equal. Since the bases of a trapezoid are parallel, we can draw a line segment that connects the endpoints of the non-parallel sides to form a parallelogram. The opposite angles of the parallelogram are equal, so the opposite angles of the trapezoid are also equal. Therefore, the bases of a trapezoid are parallel.

The legs of a trapezoid are congruent.

To prove this theorem, we can use the fact that a trapezoid can be divided into two triangles by drawing a diagonal. Since the bases of a trapezoid are parallel, the diagonal divides the trapezoid into two congruent triangles. Therefore, the legs of a trapezoid are congruent.

The diagonals of a trapezoid bisect each other.

To prove this theorem, we can use the fact that a trapezoid can be divided into two triangles by drawing a diagonal. Since the bases of a trapezoid are parallel, the diagonal divides the trapezoid into two congruent triangles. The diagonals of the trapezoid connect the midpoints of the non-parallel sides of the triangles, which are also the midpoints of the legs of the trapezoid. Therefore, the diagonals of a trapezoid bisect each other.

Now, let's look at some common kite theorems and how to prove them:

The diagonals of a kite are perpendicular.

To prove this theorem, we can use the fact that a kite can be divided into four right triangles. Since two pairs of adjacent sides of a kite are equal in length, the right triangles that share a common vertex have one leg that is perpendicular to the other leg. Therefore, the diagonals of a kite are perpendicular.

One diagonal of a kite bisects the other diagonal.

To prove this theorem, we can use the fact that a kite can be divided into four triangles. Since two pairs of adjacent sides of a kite are equal in length, the diagonal that connects the non-adjacent vertices of the kite divides the kite into two congruent triangles.

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Complete question:

Prove the trapezoid theorems: for Trapezoids and Kites.

No , there are no outliers.

A box plot is there which shows the statistics for the weight in pounds of some dogs.

We have to find , are there any outliers in the given plot.

What do you mean by average ?

The average is the ratio of sum of all numbers to the total no. of numbers.

We know that ;

An outlier is an observation which lies at an abnormal distance from other values in a random sample.

As per the question ;

The box ranges from 35 to 55.

The average of weight of dogs is ;

= (35 + 40 + 45 + 50 + 55) / 5

= 225 / 5

= 45 pounds

By this data we can conclude that the dog is neither underweight nor overweight.

Thus , there are no outliers in the data given.

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We can calculate the covariance between the random variables X and Y, and between X and Z, given that we roll an 8-sided die twice and define X as the sum of the two rolls, Y as the difference between the first and second rolls, and Z as two times the first roll minus the second roll.

To calculate the covariance between X and Y, we first need to find the expected value of X and Y, which is E(X) = E(Y) = 9. We can then use the formula Cov(X, Y) = E(XY) - E(X)E(Y), where E(XY) is the expected value of the product of X and Y. To find E(XY), we can construct a table of all possible outcomes of rolling the die twice, and calculate the product of X and Y for each outcome. There are 64 possible outcomes, and the sum of the products is 0, so E(XY) = 0. Therefore, Cov(X, Y) = E(XY) - E(X)E(Y) = 0 - 9*9 = -81.

To calculate the covariance between X and Z, we follow a similar process. The expected value of X is still 9, but the expected value of Z is different: E(Z) = 2E(X) - E(Y) = 29 - 0 = 18. We again construct a table of all possible outcomes and calculate the product of X and Z for each outcome. There are 64 possible outcomes, and the sum of the products is 648, so E(XZ) = 648/64 = 10.125. Therefore, Cov(X, Z) = E(XZ) - E(X)E(Z) = 10.125 - 918 = -7.875.

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Answer:

I am assuming when you say 2x2 you mean 2x squared so using that, your answer should be -35 if Im correct.

Step-by-step explanation:

Brainliest?!?

Answer:

21

Step-by-step explanation:

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

x = 20

Step-by-step explanation:

The 2 given angles are adjacent on a straight line and sum to 180° , then

123 + 2x + 17 = 180

140 + 2x = 180 ( subtract 140 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

Answer:

4 days

Step-by-step explanation:

The time it would take the group of 40 workers to deliver the work, \(t_{estimated}\) = 16 days

The number of workers that retired after 4 days = 10 workers

Therefore, the number of workers remaining = 40 - 10 = 30 workers

The time it would take 1 worker to do the work = The number of work days in the construction = 40 × 16 = 640 work days

The amount of work done in 4 days = 40 × 4 = 160 work days

The amount of work remaining after the elapsed 4 days = (640 - 160) work days = 480 work days

The number of days, n, it would take the remaining 30 workers to do the remaining work, is given as follows;

n = 480 work days/(30 workers) = 16 days

The actual total number of work days it took for the work to be delivered, \(t_{actual}\) = 4 days + 16 days = 20 days

The number of days delay the construction will be delivered, \(t_{delay}\), is given as follows = \(t_{actual}\)

\(t_{delay}\) = \(t_{actual}\) - \(t_{estimated}\)

∴ \(t_{delay}\) = 20 days - 16 days = 4 days

The number of days delay the construction will be delivered,  \(t_{delay}\) = 4 days