What’s is bigger -1 3/7 or -1 1/2

Answer:

Below in bold

Step-by-step explanation:

b = 40.

d = 70

From the diagram:

a = c   (because they are both opposite the equal angles), so:

2a + 2c + 2*40 + 2*70 = 360

But a = c so:

2a + 2a + 80 + 140 = 360

4a + 80 + 140 = 360

4a = 360 - 220 = 140

a = 35

so c = 35.

Answer:

A. Write each students name on a slip of paper and put the slips in a hat. Randomly draw a slip of paper. The Student whose name is on the paper wins.

C. Roll a number cube. If it lands on 1 or 2, Alina wins. If it lands on 3 or 5, Robert wins. If it lands on any other number, Makayla wins.

The correct answer is: The study is an experiment that uses random assignment to assign volunteers to experimental conditions (treatments).

A sample is an analytic subset of a larger population in statistics. The utilization of samples enables researchers to conduct investigations with more manageable data and more quickly. Randomly chosen samples exhibit little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.

Here,

A study that uses random assignment to assign volunteers to experimental conditions (treatments) is considered the best design to establish cause-and-effect relationships. In this type of study, researchers can control the variables and minimize extraneous factors that could confound the results. By using random assignment, the volunteers in the experimental and control groups are similar on average, making it more likely that any observed differences between the groups are due to the treatments.

The correct answer is: The research is an experiment in which volunteers are randomly assigned to experimental settings (treatments).

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Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The given line is tangent to the circle at the point (-2, 1).

Here we have the circle equation:

\(x^2 + y^2 = 5\)

Writing that as a function (actually two functions) we get:

\(x = \pm\sqrt{5 - y^2}\)

If we differentiate the part with positive sign, we get:

\(\frac{dx}{dy} = (-1/2)*(5 - y^2)^{-1/2}*(-2y)\)

Now, in which value of y we need to evalute that to get a 2?

If we use y = -2 we get:

\(\frac{dx}{dy} = (1/2)*(5 - 2^2)^{-1/2}*(-2*-2) = 2\)

now, when y = -2 in the circle we get:

\(x^2 + (-2)^2 = 5\\x^2 = 5 - 4 = 1\\x = \pm 1\)

This means that the tangent line of the form:

x = 2y + b

Needs to pass through the point (-2, 1) or (-2, -1) to be tangent to the circle.

When evaluating in -2 we get:

x = 2*(-2) + b

x = -4 + b

Then we can have either b = 3 or b = 5.

So the line:

x = 2x + 5

Is tangent to the circle at the point (-2, 1)

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\(4x^2+20x-24 = 4x^2-4x+24x-24 = 4x(x-1)+24(x-1) = (4x + 24)(x-1)\\\)

\(= 4(x+6)(x-1)\)

Answer:

18 t-shirts

Step-by-step explanation:

I got the question and this was the correct answer.

Answer: C

18 tshirts

Step-by-step explanation:

Answer:

11, there both 8 away so its right in ze middle :D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The right triangle with hypotenuse 5 that has legs that differ by 1 is the 3-4-5 right triangle. The legs are 3 ft and 4 ft.

__

Alternate solution

If you have never heard of a 3-4-5 right triangle, you can figure the leg lengths algebraically using the Pythagorean theorem. Let x represent the length of the "other" leg. Then the shortest is (x-1). The Pythagorean theorem tells you ...

  5^2 = (x)^2 +(x -1)^2

  25 = 2x^2 -2x +1

  12 = x^2 -x = x(x -1)

Factors of 12 that differ by 1 are 3 and 4 or -3 and -4. We want x to be positive, so the value of interest is x=4

The "other" leg is 4 ft; the shortest leg is 3 ft.

Answer:

3 ft, 4 ft

Step-by-step explanation:

Represent the length of the shortest leg using x.  Then the other leg length is x + 1.  Applying the Pythagorean Theorem,

x^2 + (x + 1)^2 = 5^2, or

x^2 + x^2 + 2x + 1 = 25, or

2x^2 + 2x - 24 = 0.

Reducing this, we get x^2 + x - 12 = 0, or (x + 4)(x - 3) =0.

Solving for x:  x + 4 = 0 => x = -4; also x - 3 = 0 => x = 3

Since we're measuring length, let's omit x = -4 and focus on x = 3.

Shortest leg is 3 ft long; other leg length is 3 + 1 ft, or 4 ft, long.

Answer:

0, 0.02, 2.01, 2 1/16, 2.2, 6.89, 6.98

Step-by-step explanation:

First thing is to turn 2 1/16 into decimal form which is 2.0625

Then look at the digit to the left of the decimal, 0 is the least, then 2, then 6

Answer:

"yes" or "no"

Step-by-step explanation:

Answer:

7/24

Step-by-step explanation:

11/12 - 5/8

Get a common denominator of 24

11/12 * 2/2 = 22/24

5/8 *3/3 = 15/24

22/24 -15/24 = 7/24

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

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Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.

The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.

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The values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows, cos(Ф) = -5/4, sec(Ф) = -4/5, tan(Ф) = 16/25, cot(Ф) = 25/16.

To find the values of the other trigonometric functions of Ф, we can use the given information of sin(Ф) and cos(Ф).

We know that sin(Ф) = -4/5 and cos(Ф) = -5/4.

Recall that cos(Ф) is the reciprocal of sin(Ф), so we can determine cos(Ф) by finding the reciprocal of sin(Ф):

cos(Ф) = 1/sin(Ф) = 1/(-4/5) = -5/4

Similarly, we can find sec(Ф) by taking the reciprocal of cos(Ф):

sec(Ф) = 1/cos(Ф) = 1/(-5/4) = -4/5

To find tan(Ф), we can use the identities tan(Ф) = sin(Ф)/cos(Ф):

tan(Ф) = sin(Ф)/cos(Ф) = (-4/5)/(-5/4) = 16/25

Next, we can find cot(Ф) by taking the reciprocal of tan(Ф):

cot(Ф) = 1/tan(Ф) = 1/(16/25) = 25/16

Finally, we can find sec(Ф) by taking the reciprocal of csc(Ф):

cot(Ф) = 1/csc(Ф) = 1/(-5/4) = -4/5

Therefore, the values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows:

cos(Ф) = -5/4

sec(Ф) = -4/5

tan(Ф) = 16/25

cot(Ф) = 25/16

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Answer:

I understand what you wrote as 18 + M = y. We don't know what M and y are. They are variables. When you add M to 18, it is equal to a value y.

I hope this makes sense. This is the foundation of algebraic thinking.

The set of parametric equations for the hyperbola is:

   x = 9sec (t)

⇒ y = sqrt (15² - 9²) tan (t)

We can start by finding the center of the hyperbola midway between the two vertices. The center is at (0, 0).

The distance between the center and each vertex is called the "half transverse axis" and is equal to 9.

So you can choose parameter "a" so that a = 9. where c is the distance between the center and the focus. . So you can calculate c = 15/2 = 7.5.

The standard form of equations for hyperbolas with horizontal abscissas is now available.

\([\frac{(x-h)^2}{a^2} - \frac{(y -k)^2}{b^2} =\) 1

where (h, k) is the center of the hyperbola.

Plugging in the values we found, we get:

\([\frac{(x-0)^2}{9^2} - \frac{(y -0)^2}{b^2} =\) 1

which simplifies to:

x²/81 - y²/b² = 1

We still need to find the value of "b" to complete the equation. We can use the relationship between "a", "b", and "c" for a hyperbola:

c² = a² + b²

Plugging in the values we found for "a" and "c", we get:

(7.5)² = (9)² + b²

which simplifies to:

b² = 15² - 9²

Therefore, the set of parametric equations for the hyperbola is:

   x = 9sec(t)

⇒ y =  sqrt (15² - 9²) tan (t)

We can also choose other parameterizations, such as using "c" instead of "a" or using vertical cross axis instead of horizontal cross axis. However, the equation we found is in the standard form of a hyperbola with a horizontal transverse axis, which is the most common form.

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Answer:

\(f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}\)

Step-by-step explanation:

Since f(x) has asymptotes at x = 5 and x = -5, then the denominator of the rational function contains the terms (x - 5) and (x + 5):

\(f(x)=\dfrac{?}{(x-5)(x+5)}\)

Since f(x) has x-intercepts at x = 2 and x = 1, then the numerator of the rational function contains the terms (x - 2) and (x - 1):

\(f(x)=\dfrac{A(x-1)(x-2)}{(x-5)(x+5)}\)

Now substitute the point (0, 4) and solve for A:

\(f(0)=4\\\\\implies \dfrac{A(0-1)(0-2)}{(0-5)(0+5)}=4\\\\\\\implies -\dfrac{2}{25}A=4\\\\\\\implies A=-50\)

So final rational function:

\(f(x)=\dfrac{-50(x-1)(x-2)}{(x-5)(x+5)}\)

Answer:

The mean increases and the median changes to 4.

Step-by-step explanation:

To find the mean. You need to add all of the numbers together then divide by how many numbers there are. The median is found by the middle number.

Answer:

5.5 Mean

5 Median

Step-by-step explanation:

6+9+4+3+9+3+5 =5.5

7

Answer:

-3

Step-by-step explanation:

1) -x-y = 9

2) -3x+y = 3

By adding 3x to each side on equation #2, you get that y = 3+3x.

Now, we can substitute the value of y into the second equation. If you do this, you will get that \(-x-(3+3x)=9\).

Simplifying gives you: \(-4x-3=9\)

Adding three to both sides: \(-4x=12\)

And finally dividing by negative four: \(x=-3\)

You will get x = -3

Answer:

a) 17.09 hours

b) The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 49 - 1 = 48

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 48 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.0106

The margin of error is:

M = T*s = 2.0106*8.5 = 17.09

s is the standard deviation of the sample. 17.09 hours is the answer for a.

The lower end of the interval is the sample mean subtracted by M. So it is 49 - 17.09 = 31.91 hours

The upper end of the interval is the sample mean added to M. So it is 49 + 17.09 = 66.09 hours

The 95% confidence interval estimate of the population mean flying time for the Pilots is between 31.91 hours and 66.09 hours

Layla should by not more than 4 outfits in order not to exceed her budget

The inequality expression is n  ≤ 4

price of a new bicycles = $418.55

2 bicycle reflectors = $19.39

a pair of bike gloves = $27.23

new biking outfits = $38.86 each

Nora's total money to spend at a bicycle store = $38.86

Layla's spending will never exceed the total spending at the bike shop, so it will be less than or equal to the total of other items

We write the expression as;

$640 ≤ $418.55 + 2 * $19.39 + $27.23 + n * $38.86

where n represents the number of the new biking outfits

$640 - ( $418.55+ 2 * $19.39 + $27.23 ) ≤. + n * $38.86

( $640 - ( $418.55 + 2 * $19.39 + $27.23 ) ) /  $38.86≥ n

( $640 - $484.56 ) /  $38.86 ≥ n

( $155.44) /  $38.86  ≥ n

4  ≥ n

Layla should by not more than 4 outfits in order not to exceed her budget

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Step-by-step explanation:

72km/h = 72,000m/3,600s = 20m/s.

Using Kinematics, we have

v = u + at

= (20m/s) + (-2m/s²)(5s)

= 10m/s.

Hence the velocity will be 10m/s. (or 36km/h)

Answer:

$20-$8.74= c (total cost of pizza)

Answer:

-39.24

Step-by-step explanation:

mark me brainliest plz

Answer:

86.24

Step-by-step explanation:

23.5 + - (-62.74) = ​

Distribute the negative with (-62.74)

23.5+62.74

Add

86.24

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

The true statement is mean > median

The mean is the average value.

So, we have

Mean = Sum/Count

This gives

Mean = (8 * 1 + 10 * 3 + 14 * 2)/(1 + 3 + 2)

Evaluate

Mean = 11

The mode is the measure with the highest frequency.

So, we have

Mode = 10

The median is the middle element

So, we have

Median = 10

The mean (11) is greater than the mode and the median

Hence, the true statement is mean > median

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Answer:

105.3

Step-by-step explanation: