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Did George Washington have a middle name

Answer:

p - 4 = ?

Step-by-step explanation:

Difference also mean subtraction, so that means you are required to subtract the variable p and 4.

Answer:

ab=4c

Step-by-step explanation:

Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.

Answer:

ab=4c

Step-by-step explanation:

Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:

Say you have a x b = 5 x 5c

It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!

When the consumption schedule lies below the 45-degree reference line, it means that at every level of income, people are consuming less than their income.

The consumption schedule represents the relationship between income and consumption in an economy, while the 45-degree reference line represents the line where income and consumption are equal.

In this scenario, saving occurs because people are not spending all of their income. The difference between their income and consumption is their savings. Thus, the amount of saving in the economy will increase as the consumption schedule moves further below the 45-degree reference line.

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When the consumption schedule lies below the 45-degree reference line, saving what does it means?

Answer:

Slope is: 2/10x

Y-intercept is: (0,2)

Equation: y=2/10x+2

Step-by-step explanation:

OK

Answer:its c or d hope i help

Step-by-step explanation:

Answer:

2940π square feet.

Step-by-step explanation:

The exact surface area of a cylinder is given by the formula:

2πr² + 2πrh

where r is the radius and h is the height.

Substituting the values given in the question, we have:

2π(30)² + 2π(30)(19)

Simplifying:

2π(900) + 2π(570)

2π(900 + 570)

2π(1470)

The exact surface area of the cylinder is:

2940π square feet.

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error

In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.

Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.

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Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

The phenomenon known as diminishing marginal utility describes how each extra unit of gain results in an ever-smaller rise in subjective value.

Thus, Sue is an example of the law for "diminishing marginal utility" if she only buys apples if the price drops because each apple produces less additional satisfaction.

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Answer:

1.d

3.A

4.E

The triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

\(\theta = sin^{-1}\dfrac{5}{8.3}\)

as we know that sine for any angle is the ratio of its perpendicular to the hypotenuse,  and trigonometry is only applicable to a right-angled triangle.

therefore,

\(\theta = sin^{-1}\dfrac{5}{8.3}\\\\sin \theta=\dfrac{5}{8.3}=\dfrac{Perpendicular}{Hypotenuse}\\\)

Hence, the triangle is a right-angled triangle with a perpendicular side of 5 and a hypotenuse of 8.3.

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The number of bacteria  in an egg salad that is left out at room temperature is 256 option D.

The bacteria would double 4 times in 2 hours, so the total number of bacteria in the egg salad would be 256.

So we have 4 bacteria after 2 hours we have,

4 x 4 x 4 x 4 = 256 bacteria.

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring.

Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution, in which you will learn about the possible results of a random experiment. To determine the likelihood of a particular event occurring, we must first determine the total number of alternative possibilities.

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Complete question:

There are four bacteria in an egg salad that is left out at room temperature. After two hours, how many bacteria will be in the egg salad?

- 32

- 2048

- 8

- 256

Answer:

So like 8, 16, 24, 32, 40, 48...

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

45 is divisible by 5 because 45 divided by 5 is 9

¯\_(ツ)_/¯

The exact value of tan 0, given sec 8 and 0 in quadrant IV, is -17/9. Option d is correct. In quadrant IV, cosine is positive and sine is negative.

Since secant is the reciprocal of cosine, sec 8 will be positive. To find the value of tan 0, we can use the identity tan²(theta) = sec²(theta) - 1.

Given that sec 8 is positive, we can determine its value using the identity sec²(theta) = 1 + tan²(theta). In this case, sec²(8) = 1 + tan²(8). Since sec 8 is known, we can solve for tan 8.

sec²(8) = 1 + tan²(8)

1 + tan²(8) = sec²(8)

tan²(8) = sec²(8) - 1

Substituting the value of sec 8, we get:

tan²(8) = (1/cos²(8)) - 1

Now, we can take the square root of both sides and consider the negative value for tan 0 since 0 is in quadrant IV:

tan 8 = -√[(1/cos²(8)) - 1]

tan 0 = -√[(1/sec²(8)) - 1]

      = -√[(1/(sec 8)²) - 1]

      = -√[(1/(sec 8))² - (sec 8)²/(sec 8)²]

      = -√[(1 - (sec 8)²)/(sec 8)²]

      = -√[-1/(sec 8)²]

      = -1/(sec 8)(√[1/(sec 8)²])

      = -1/(sec 8)(1/(sec 8))

      = -1/(sec 8)²

      = -1/(sec²(8))

      = -1/cos²(8)

      = -1/(1/cos²(8))

      = -1/(1/sec²(8))

      = -1/(1 + tan²(8))

      = -1/(1 + tan²(0))

      = -1/(1 + (-17/9)²)

      = -1/(1 + 289/81)

      = -1/(370/81)

      = -81/370

      = -17/9

Therefore, the exact value of tan 0, given sec 8 and 0 in quadrant IV, is -17/9.( Option d)

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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The perimeter of the equilateral triangle whose area is 16root3/4 is 15.9\(\sqrt{3/4} cm\)

You should understand that a triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted

An equilateral triangle is a special case of an isosceles triangle in which all three sides have the same length

Let the sides of the triangle be a

a + a + a = 16root3/4

3a = 16\(\sqrt{3/4}\)

a = 5.3\(\sqrt{3/4}\)

Therefore the perimeter of the equilateral triangle is

5.3\(\sqrt{3/4} + 5.3\sqrt{3/4} +5.3\sqrt{3/4}\)

Therefore, the  perimeter is 15.9\(\sqrt{3/4} cm\)

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The possible values of k for the quadratic equation 9x² - 5kx + 1 = 0 has equal roots are 6/5 and -6/5.

The standard form of an quadratic equation is, ax² + bx + c = 0, a ≠ 0 and a,b,c --> constants. The quadratic formula for solution of above equation is, x = ( - b ±√b² - 4ac)/2a , where Discriminate, D is equals to b² - 4ac . We have an quadratic equation, 9x² - 5kx + 1 = 0 --(*)

Step 1 : Determining the discriminant of the quadratic equation : After comparing the equation (*) with standard one , a = 9 , b = - 5k and c = k . So, discriminate formula , D = b² - 4ac

=> D = (- 5k)² - 4×9×1

=> D = 25 k² - 36

Step 2: Determining the values of k : We have equation (*) has equal roots then according to the nature of the roots of an quadratic equation When the value of discriminant, D = 0, then the quadratic equation has real and equal roots.

So, 25 k²- 36 = 0

=> 25 k² = 36

=> k² = 36/25

=> k = ±√36/25

=> k = ± 6/5

Hence, the values of k are ± 6/5.

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Complete question:

For what values of k is the quadratic equation 9x² - 5kx + k = 0, has equal roots?

Answer:

A

Step-by-step explanation:

y = 1/4 × x - 2

x=8 => y=0. correct for B

x=12 => y= 1. correct for C

all other answer options fail for these 2 points.

The dot product is zero. This indicates that the two vectors are orthogonal to each other.

Cross product is a vector operation that is applied to 2 vectors to yield a third vector that is perpendicular to the plane defined by the two vectors. Here is the step by step procedure to find the orthogonal vector to the plane through points A, B, and C:Step 1: Find the vectors AB and AC from A to B and A to C respectively. AB = (2 - 1)i + (2 - 0)j + (1 + 1)k = i + 2j + 2kAC = (1 - 1)i + (-3 - 0)j + (2 + 1)k = 0i - 3j + 3k

Calculate the cross product of AB and AC to find the normal vector. Using the formula, |a X b| = |a||b| sin θ, where a and b are two vectors and θ is the angle between them.i j k1 2 21 0 -31 3 2= i(-6) - j(3) + k(-2) = -6i - 3j - 2kSo, the normal vector to the plane through points A, B, and C is (-6i - 3j - 2k)

Simplify and check with the dot product.There are infinitely many nonzero vectors orthogonal to the given plane. However, the vector (6i + 3j + 2k) is also orthogonal to the plane. So, we can choose either of the two vectors as a solution. To check, take the dot product of the two vectors.(-6i - 3j - 2k) . (6i + 3j + 2k) = -36 - 9 - 4 = -49The dot product is zero. This indicates that the two vectors are orthogonal to each other.

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Answer:

1. 5 - (a+b)

2. n + 0.5n = 1.5 n

3. 2x - 2

4. 7 + mn

5. pq - (p+q)/3

6. a*a = a^2

Step-by-step explanation:

Answer:

20 I think I don't really know or 0a

Step-by-step explanation:

Also it might be oc and all the things begging with o because it makes more sence lol

Answer:

B

Step-by-step explanation:

If the area of the whole rectangle is 56 square miles then just divide that by the width (7).   56 / 7 = 8. Hope this helps!

The x and y intercepts of each of the following is (a) x intercepts are 3 and -5, y intercept is 16. (b) x intercepts are 1 and 2.5, y intercept is -2.5. (c) x intercept is 8 and the y intercept is -16.

x intercept is the x coordinate of the point on the line where it touches the X axis. The y coordinate will be 0 there.

y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.

(a) We have the points from the table.

(3, 0) and (-5, 0)

y coordinate is 0. So x intercepts are 3 and -5.

We also have (0, 16).

y intercept is 16.

(b) We have the points (1, 0) and (2.5, 0).

x intercepts are 1 and 2.5.

We also have (0, -2.5).

y intercept is -2.5.

(c) We have (8, 0) and (0, -16).

x intercept is 8 and the y intercept is -16.

Hence the x and y intercepts are found.

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The slope - intercept equation of a line that would pass through (1,-2) and has an undefined slope, is y = -2 x

The slope - intercept equation takes the form:

y = mx + b

m = slope

b = y - intercept

When the slope is undefined, it means that there is no y - intercept as the slope is a vertical line which crosses the x - axis alone. The slope would therefore be :

y = mx

- 2 = 1 x

m = - 2

The slope - intercept form is:

y = -2 x

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