Marcus collect donations and says care packages to troops overseas he has 36 bars of soap and 24 toothbrushes arrange the items so the packages are identical what is the greatest number of packages that Marcus can make using all the soap and toothbrushes?

The correct option is option a) mutually exclusive.

Mutually exclusive events are events that cannot occur simultaneously. They are also referred to as disjoint or incompatible events. In probability theory and statistics, mutually exclusive events have a probability of zero occurring together.

For example, in a coin flip, getting "heads" and getting "tails" are mutually exclusive events because a coin cannot land on both "heads" and "tails" at the same time.

Another example would be the events "rolling a six on a dice" and "rolling an even number on a dice", these events are mutually exclusive because a dice can't land on a six and an even number at the same time.

In general, mutually exclusive events have no intersection, meaning that they don't share any outcomes.

Therefore, The correct option is option a) mutually exclusive.

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1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.

Step-by-step explanation: brainliest pls ^^

19-28/n

n=7

19-28/7

19-4

=15

Answer:

d for the lazy people like me  :D PROPS TO THE PERSON ON TOP OF ME

Step-by-step explanation:

To compare fractions with like numerators always compare denominators.

We can calculate the LCM of the numerators and then multiply the numerators by the corresponding values to make the numerators of two or more fractions the same or similar. If the numerators are similar or the same, comparisons become simple. Verify the denominators of fractions with comparable or identical numerators. The fraction decreases as the denominator increases. They are referred to as having like or the same numerators when two or more fractions have the same numerators but distinct denominators. While they are referred to as having like or the same denominators when the denominators of two or more fractions are the same.

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Answer:

43

Step-by-step explanation:

We have to find angle CXY

So,

YE/EX=DY/CX

Therefore XY//CD [Theorem]

Angle D =Angle Y [Corresponding Angles]

Angle E + Angle Y +Angle X=180

Angle X=180-(Angle E + Angle Y)

Angle X=180-(89+48)

Angle X=180-137

Angle X=43

Angle CXY=43 Degree

The Progressives were a diverse group of people who held different beliefs and opinions, but many of them were committed to social justice and equality.

They recognized that segregation was a major problem in American society, and they worked to combat it through a variety of strategies.  

Some Progressives used their positions of power in government and the legal system to challenge segregation laws and practices. For example, Theodore Roosevelt, a Progressive president, appointed African Americans to federal positions and invited Booker T. Washington, a prominent African American leader, to dine at the White House.  

Other Progressives worked at the grassroots level, organizing protests, boycotts, and other forms of activism to challenge segregation in their communities. For example, the Niagara Movement, founded by African American intellectuals and activists, called for an end to segregation and discrimination.  

Despite their efforts, the Supreme Court decision in Plessy v. Ferguson in 1896 upheld the constitutionality of segregation, setting back the efforts of Progressives to combat segregation through the courts. However, Progressives and civil rights advocates continued to fight against segregation, eventually leading to the landmark Brown v. Board of Education decision in 1954, which declared segregation in public schools to be unconstitutional.

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Answer: 2.2 mph

Step-by-step explanation:

there's 60 minutes in an hour so you multiply the 1.1 miles to get how many miles they would walk in an hour.

With the help of probability we can conclude our answer.

acc to our question-

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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The area of the parallelogram is approximately 9.49 square units.

Let's find two vectors representing the adjacent sides of the parallelogram.

We can choose vectors based on the vertices P, Q, and P, R.

Vector PQ = Q - P = (-3, -5, 4, 1) - (0, 0, 0, 0)

= (-3, -5, 4, 1)

Vector PR = R - P = (-3, -3, 3, 3) - (0, 0, 0, 0)

= (-3, -3, 3, 3)

We calculate the cross product of these two vectors.

Cross product = PQ × PR

Substituting the values:

Cross product = (-5 × 3 - 4 × -3, 4 × -3 - (-3) × 3, -3× -3 - (-5) × -3, -5 × 3 - (-3) × -3)

= (-15 + 12, -12 + 9, 9 - 15, -15 + 9)

= (-3, -3, -6, -6)

The magnitude of this cross product vector gives us the area of the parallelogram.

Area = |Cross product| = √((-3)² + (-3)²+ (-6)² + (-6)²)

= √(9 + 9 + 36 + 36)

=√90

= 9.49

Therefore, the area of the parallelogram is approximately 9.49 square units.

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Answer:

52,488

Step-by-step explanation:

First 2187 multiplied by $1 equals $2187

Second 2187 times 3 equals 6561

Third 6561 times 7 equals 52,488

The horizontal component of the force is 27.7 lb, and the vertical component is -16 lb.

The horizontal and vertical components of a force acting at an angle can be found using trigonometric functions. The horizontal component is equal to the magnitude of the force multiplied by the cosine of the angle, while the vertical component is equal to the magnitude of the force multiplied by the sine of the angle.

In this case, the force exerted by the man is 32 lb at an angle of 30° to the ground. The horizontal component of the force can be found by multiplying the magnitude of the force (32 lb) by the cosine of the angle (cos 30°), which gives:

Horizontal component = 32 lb x cos 30° = 27.7 lb

The vertical component of the force can be found by multiplying the magnitude of the force (32 lb) by the sine of the angle (sin 30°), but since the vertical direction is negative, the answer will be negative, so:

Vertical component = -32 lb x sin 30° = -16 lb

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Answer:

I think the answer is graph B

1. C = x^4 + 3 = 0

2. A = (x − 3)^4 = 0

3. B = (x^2 − 3)^2 = 0

Answer:

0.75x + 10 = y

Answer:

m A = 63

m C = 27

Step-by-step explanation:

to find the angle of a use trigonometry by doing, cos-1(17/38) = 63

to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153

180 - 153 = 27

so C = 27 degrees

Answer:

x = 40

Step-by-step explanation:

the right vertex angle and 96° are a linear pair and sum to 180°

angle + 96° = 180° ( subtract 96° from both sides )

angle = 84°

the sum of the 3 angles in a triangle = 180° , so

third angle + 56° + 84° = 180°

third angle + 140° = 180 ( subtract 140° from both sides )

third angle = 40°

x and 40° are vertically opposite angles and are congruent, that is

x = 40

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

Answer: A 3(5x-8)

Step-by-step explanation: 3 times 5x is 15x and 3 times -8 is -24

Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Answer:

$22

Step-by-step explanation:

s=sodas

p=pizza

p=14. s=2

4s + p

4(2) + 14

8 + 14 = $22

Answer: 0.65

Step-by-step explanation:

Answer:

\(\frac{13}{20}\)

Explanation:

\(3 \frac{1}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)

First, you want to remove any coefficient in front of the fraction.

\(3\frac{1}{4} = \frac{13}{4}\)

To change \(3\frac{1}{4}\), first you multiply the coefficient 3 to 4, which equals 12. Then add 12 to 1, which equals 13.

Now multiply:

\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\)

\(13\) × \(2\) × \(1\) = \(26\)

\(4\) × \(5\) × \(2\) = \(40\)

\(\frac{13}{4}\) × \(\frac{2}{5}\) × \(\frac{1}{2}\) = \(\frac{26}{40}\)

Simplify:

\(\frac{26}{40}\) = \(\frac{13}{20}\)

A drug administered 50 mg every three hours and the drug decays 12% per hour, the limiting value is approximately 416.67 mg.

To find the limiting value, we need to determine the amount of the drug remaining after each administration and observe how it approaches a stable value over time.

First, let's calculate the decay factor per hour. The drug decays by 12% per hour, which means it retains 88% of its previous value after each hour.

Decay factor = 1 - 0.12 = 0.88

Now, let's calculate the amount of drug remaining after each administration:

After 1st administration: 50 mg

After 2nd administration: 50 mg * 0.88 = 44 mg

After 3rd administration: 44 mg * 0.88 = 38.72 mg

After 4th administration: 38.72 mg * 0.88 = 34.04 mg

After 5th administration: 34.04 mg * 0.88 = 29.92 mg

As we can see, the amount of drug remaining decreases with each administration, approaching a limiting value. To find this limiting value, we can continue the pattern or use a formula.

The formula for the limiting value of a drug administered every three hours is:

Limiting value = dosage / (1 - decay factor)

In this case, the dosage is 50 mg, and the decay factor is 0.88.

Limiting value = 50 mg / (1 - 0.88) = 50 mg / 0.12 ≈ 416.67 mg (rounded to two decimal places)

Therefore, the limiting value is approximately 416.67 mg.

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Answer:

7.05 inches

Step-by-step explanation:

h=7.5+.59(5)-3.4

h=7.5+2.95-3.4

h=10.45-3.4

h=7.05

Answer:

y = -12

Step-by-step explanation:

\(\frac{y}{3} = -4\)

y = -4(3)

y = -12

Hope this helps!

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{y}{3}=-4}\)

\(\large\textsf{MULTIPLY 3 to BOTH SIDES}\)

\(\mathsf{3\times\dfrac{1}{3}y=3\times(-4)}\)

\(\large\textsf{Cancel out: }\mathsf{3 \times \dfrac{1}{3}}\large\textsf{ because that gives you 1}\)

\(\large\textsf{KEEP: }\mathsf{3\times (-4)}\large\textsf{ because it gives you the y-value}\)

\(\large\textsf{New EQUATION: }\mathsf{y = -4 \times 3}\)

\(\mathsf{-4\times3=y}\)

\(\large\text{SIMPLIFY above }\uparrow\large\text{ \& you have your answer}\)

\(\mathsf{-4\times3=\bf -12}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -12}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer: A

Step-by-step explanation:

The value of opposite side of angle θ would be,

⇒ EF

Since, A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that,

A right triangle EFD is shown in figure.

And, At angle E, right angle is shown.

We know that;

The Opposite side of a angle is called perpendicular side.

Hence, The value of opposite side of angle θ would be,

⇒ EF

Thus, Option A is true.

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Answer:

11/36

Step-by-step explanation:

Hope this helps :)

Answer:

  -2

Step-by-step explanation:

The floor function returns the largest integer not greater than the function's argument. The largest integer less than or equal to -1.1 is -2.

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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The term you're looking for is "uncertain digits."

Uncertain digits refer to the digits in a measurement that exceed the level of certainty provided by the measuring instrument.

Measurements, it is crucial to recognize the limitations of the instruments being used, as this can impact the precision and accuracy of the results.
Precision is the degree to which an instrument can consistently produce the same measurement, while accuracy is the closeness of a measurement to its true value.

Uncertain digits can affect both of these aspects.
To better understand uncertain digits, consider the following step-by-step explanation:
Identify the measuring instrument:

This could be a ruler, thermometer, or any other device used to take measurements.
Determine the instrument's least count:

The least count is the smallest unit the instrument can measure.

A ruler with millimeter markings has a least count of 1 millimeter.
Record the measurement:

When taking a measurement, include all the certain digits (those within the instrument's least count) and one uncertain digit.

The uncertain digit is an estimate, and it represents the best guess within the least count of the instrument.
Keep in mind the limitations:

Recognize that uncertain digits are an inherent part of the measuring process and that they affect the precision and accuracy of the results.
Uncertain digits are the digits that exceed the certainty of a measuring instrument.

It is important to consider these digits and the limitations of the instruments used when conducting experiments or making measurements.

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