Denominations matter in digital money true or false

The logically equivalent statement to the given conditional statement "If lines have the same slope, the lines are parallel" is:

To determine the logical equivalence, we need to consider the contrapositive of the conditional statement.

The contrapositive of a conditional statement switches the hypothesis and conclusion and negates both. In this case, the original statement is "If A (lines have the same slope), then B (the lines are parallel)."

The contrapositive would be "If not B (lines are not parallel), then not A (the lines do not have the same slope)."

This is equivalent to statement c, which states that if the lines are not parallel, then they do not have the same slope.

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Answer:

The correct option is;

[2.5, ∞)

Step-by-step explanation:

The given exponential equation can be expressed as follows;

10,000 × 4ˣ ≥ 320,000

Therefore we have;

4ˣ ≥ 320,000/10,000

4ˣ ≥ 32

㏒(4ˣ) ≥ ㏒(32)

x·㏒4 ≥ ㏒(32)

x ≥ ㏒(32)/㏒4

∴ x ≥ 2.5

Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval  [2.5, ∞)

Answer:

[2.5, infinity) - A

Step-by-step explanation:

EDGE2020

Answer:

what is the question

Step-by-step explanation:

Answer:

4.6 is your awnser hope this helps

Answer:

maximum blanket size is;

21cm x 19cm

Step-by-step explanation:

Perimeter of the rectangle is;

P = 2W + 2L

Miriam has an 80cm length of lace that she wants to add to the sides of her rectangular blue blanket.

Thus;

2W + 2L = 80

Divide both sides by 2 to get;

W + L = 40

We want to find the maximum size of the blanket which is the 2 values that will give the maximum area.

Possible measurement include;

- 21cm x 19cm

- 22 cm x 18 cm

- 23 cm x 17 cm

- 24 cm x 16 cm

Looking at them all, the one with the largest area is 21cm x 19cm

Thus, maximum blanket size is;

21cm x 19cm

The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

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Answer:

Let's solve your system by elimination.

3x+4y=29;6x+5y=43

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3x+4y=29)

1(6x+5y=43)

Becomes:

−6x−8y=−58

6x+5y=43

Add these equations to eliminate x:

−3y=−15

Then solve−3y=−15for y:

−3y=−15

−3y −3 = −15

−3

(Divide both sides by -3)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

3x+4y=29

Substitute5foryin3x+4y=29:

3x+(4)(5)=29

3x+20=29(Simplify both sides of the equation)

3x+20+−20=29+−20(Add -20 to both sides)

3x=9

3x 3 = 9

3

(Divide both sides by 3)

x=3

Answer:

x=3 and y=5

Step-by-step explanation:

I love this stuff 229 999 0523

Answer:

D, \((90-y)\) degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get

\(y+B=90\)

To get the measure of angle B, we must isolate B.

To isolate B, we have to remove every term from its side.

The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:

\(B=90-y\)

The only answer option that meets this criteria is D.

Answer:

Solution given:

AD=1.8

AC=3.0

we have

∆ADC is a right angled triangle

Cos A=b/h

<A=cos-¹ (1.8/3)

<A=53.13°

again

∆ABC is a right angled triangle

Tan A=p/b=BC/AC

Tan 53.13×3=BC

BC=4

NOW

Area of triangle =½(AC*BC)=½(4×3)=6 square units is a required area.

The area of triangle ABC is 6 square units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From triangle ADC, We find the side CD by using pythagoras theorem.

AD²+CD²=3²

1.8²+CD²=9

3.24+CD²=9

Subtract 3.24 from both sides

CD²=9-3.24

CD²=5.76

CD=2.4

Triangle ACD is similar to triangle ACB

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

AC/CD=AB/AC

3/1.8=AB/3

AB=9/1.8

=5

Area of triangle ABC= 1/2. AB.CD

=1/2×5×2.4

=6

Hence, the area of triangle ABC is 6 square units.

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Answer:

8 gallons

Step-by-step explanation:

The function that would describe the amount of water in the pool at time x (in minutes) would be comprise of two terms:

1.  An initial term, I, that accounts for water already present at the start of time, x, and

2.  water added by a hose with a rate of 4 gallons/minute would constitute a term of 4x

The equation, f, that provides the gallons in the pool is given by:

f(x) = I + 4x, where I is the initial amount of water (gallons) and 4x is a rate of 4 gallons/min times the number of minutes the hose is functioning.

If the pool was initially empty, the amount of water in the pool after two minutes would be:

f(2) = 0gal + 4gal/min(2 minutes)

f(2) = 8 gallons

The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The table is given below.

Number of hours               Total number of students

            0                                                 1

            1                                                  3

            2                                                 2

            3                                                 5

            4                                                 9

            5                                                 7

            6                                                 3

The total number of students is given as,

Total = 1 + 3 + 2 + 5 + 9 + 7 + 3

Total = 30

Then the probability that a student studied for 1 hour is given as,

P = 3 / 30

P = 0.10

The probability that a student studied for 1 hour will be 0.10. Then the correct option is D.

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Step-by-step explanation:

it is the area of the square minus 4 quarter circles (which means 1 full circle) with radius of 10 ft (the half of a side of the square).

we know how to calculate the area of a square "As"

As = side²

we know how to calculate the area of a circle "Ac"

Ac = pi×radius²

so, the shaded area "Ashade"

Ashade = side² - pi×radius² = 20² - pi×10² =

= 400 - pi×100 = 85.84073464... ft²

I don't know, if you need to round the answer in some way.

if it is to e.g. 2 digits after the decimal point (hundredths), then it would be

85.84 ft²

Answer:

The equation that represents the number of flyers Max made be represented as : 4(x)

Where x is the number flyers Max put in his bag.

Hence, Max made 40 flyers.

Step-by-step explanation:

Mark divides all the flyers evenly among 4 bags, one for each person.

Let the number of flyers Max put in the bag is represented by x

The equation that represents the number of flyers Max made be represented as : 4(x)

Each bag contains 10 flyers.

= 4(10 flyers)

= 40 flyers.

Answer:

the length of ab is 8

x=3

Step-by-step explanation:

The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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The given sequence is 9, 16, 24, 33. To find the next number, let's look for a pattern in the differences between the terms.

The difference between 16 and 9 is 7, between 24 and 16 is 8, and between 33 and 24 is 9.

The pattern in the differences is that they are increasing by 1 each time. So, the next difference would be 10.

To find the next number, we add the next difference to the last term in the sequence. Adding 10 to 33 gives us 43.

Therefore, the next number in the sequence is 43.

To find the next number in the given sequence, we looked for a pattern in the differences between the terms. We observed that the differences were increasing by 1 each time. Using this pattern, we added the next difference to the last term in the sequence to find the next number.

The next number in the sequence 9, 16, 24, 33 is 43.

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Answer:

its

Step-by-step explanation:

i cant explane

As per the concept of permutation 100 out of the 800 students at the college live on campus and are 20 years old or less.

A permutation is the arrangement of objects in a specific order. In this problem, we are trying to find the number of students who live on campus and are 20 years old or less.

From the information given, we know that 250 students live on campus and are more than 20 years old. If there are 800 students in total at the college, then the number of students who are not living on campus is

=> 800 - 250 = 550.

We also know that 640 students at the college are more than 20 years old. This means that the number of students who are 20 years old or less is

=> 800 - 640 = 160.

Finally, we know that 60 students at the college are 20 years old or less and live off campus.

So, the number of students who live on campus and are 20 years old or less is

=> 160 - 60 = 100.

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\(\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} -›}\)

Step-by-step explanation:

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

  C. Exponential growth

Step-by-step explanation:

You want to know how to describe the relation that represents a 10% increase per year.

The problem statement tells you the number of guests "increased by approximately 10% each year". The nature of the function depends on what "10%" refers to.

If the amount of increase is constant year after year (10% of the original number of guests), then the relationship is linear.

If the amount of increase is 10% of the previous year's number, so the amount increases each year, then the relationship is exponential.

When the number increases year on year, the number is said to be growing. If the relationship is exponential, it is described as exponential growth.

If the number were decreasing by 10% per year, it would be an exponential decay relationship.

__

Additional comment

Whenever you're dealing with percentages, you always need to understand what is being used as the base amount. (What does 100% represent?)

Usually, a percentage increase or decrease is referring to the current value. Not always.

Sometimes a change from 10% to 6% is referred to as a 4% decrease, and sometimes it is referred to as a 40% decrease. It depends on who is selling what to whom.

Answer:

it's answer is B

4 hours = $26

1 hour = $26/4 = $13/2

8 hour = $13/2 * 8

= 13 * 4 = $52

hope it helps you

Answer:

B. Rachael

Step-by-step explanation: each employee gets paid 26 dollars per 4 hours so Rachael's total was $52 so 26 times 2 = 52 . I hope this helps!!

The depth of the scientist below sea level after traveling downward for 102 seconds can be found by multiplying her speed by the time she traveled:

Distance = Speed x Time

Distance = 4.2 feet/second x 102 seconds

Distance = 428.4 feet

Since she traveled straight down, this distance is also her depth below sea level.

Next, we need to find how far she ascended. The distance she traveled upward can be found in the same way:

Distance = Speed x Time

Distance = 1.9 feet/second x 112 seconds

Distance = 212.8 feet

However, since she traveled upward, this distance is subtracted from her previous depth:

Final depth below sea level = Initial depth below sea level - Distance traveled upward

Final depth below sea level = 428.4 feet - 212.8 feet

Final depth below sea level = 215.6 feet

Therefore, the scientist is 215.6 feet below sea level at this point.

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Answer:

Diatance biked = rate • time

The number of dogs you would expect to have brown eyes or white spots is 72

In the question, we have

Number of dogs = 25

Brown eyes = 7

White spots = 11

This means that the probabilty of a dog with brown eyes or white spot is

P = 7/25 + 11/25

Evaluate the sum

P = 18/25

In a selection of 100 dogs, we have

Expected number = 18/25 * 100

Evaluate the products

Expected number = 72

Hence, the number of dogs is 72

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Answer:

Step-by-step explanation:

Permutations and combinations are mathematical concepts that deal with counting the number of different arrangements or selections of objects from a set.

Permutations:

A permutation is an arrangement of objects in a specific order. For example, consider a set of three letters: A, B, and C. There are 3! = 6 possible permutations of these letters, which are ABC, ACB, BAC, BCA, CAB, and CBA. The notation "3!" is the factorial notation, which means 3 × 2 × 1.

Combinations:

A combination is a selection of objects, where the order does not matter. For example, consider a set of three letters: A, B, and C. There are 3 C 2 = 3 possible combinations of two letters from this set, which are AB, AC, and BC. The notation "3 C 2" is the combination notation, which means the number of ways to choose k objects from a set of n objects.

In summary, permutations deal with the arrangement of objects in a specific order, while combinations deal with the selection of objects without regard to the order.

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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