Witch expression is equivalent to( 3x+4)-(7x+2)

Answer:

the rate is +2

starting value is -4

equation:

y = x*2-4

Step-by-step explanation:

The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

Here,

The length of a bacterial cell is about 5 x 10⁻⁶ m.

The length of an amoeba cell is about 3.5 x 10⁻⁴ m.

We have to find the how many times the bacterial cell is smaller than the amoeba cell.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now,

The length of a bacterial cell is = 5 x 10⁻⁶ m.

The length of an amoeba cell is = 3.5 x 10⁻⁴ m.

Hence, The size of cell is calculated as =  3.5 x 10⁻⁴ ÷ 5 x 10⁻⁶

                                                            = 0.7 x 10²

                                                            = 7 x 10¹

Therefore, The bacterial cell is 7 x 10¹ times smaller than the amoeba cell.

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Answer:

7 x 10^1 (i got it right on the exam)

The point where the horizontal and vertical lines intersect represents the projection of Point E.

To draw the projection of the given points, we need to use the principles of orthographic projection. Here's how the projections of each point would look like:

a) Point P: 40 mm above HP and 55 mm in front of VP (First Quadrant)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line upward representing the height above HP (40 mm).

  - From the endpoint of the vertical line, draw a line parallel to XY representing the distance in front of VP (55 mm).

  - The point of intersection of the parallel line with the vertical line represents the projection of Point P.

b) Point Q: 30 mm above HP and 45 mm behind VP (Second Quadrant)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line upward representing the height above HP (30 mm).

  - From the endpoint of the vertical line, draw a line parallel to XY in the opposite direction representing the distance behind VP (45 mm).

  - The point of intersection of the parallel line with the vertical line represents the projection of Point Q.

c) Point R: 35 mm below HP and 40 mm behind VP (Third Quadrant)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line downward representing the height below HP (35 mm).

  - From the endpoint of the vertical line, draw a line parallel to XY in the opposite direction representing the distance behind VP (40 mm).

  - The point of intersection of the parallel line with the vertical line represents the projection of Point R.

d) Point S: 50 mm below HP and 30 mm in front of VP (Fourth Quadrant)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line downward representing the height below HP (50 mm).

  - From the endpoint of the vertical line, draw a line parallel to XY representing the distance in front of VP (30 mm).

  - The point of intersection of the parallel line with the vertical line represents the projection of Point S.

e) Point A: 35 mm in front of VP (lying on HP)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line upward and downward representing the same height above and below HP (35 mm).

  - The point where the vertical lines intersect HP represents the projection of Point A.

f) Point B: 30 mm behind VP (lying on HP)

  - Draw a horizontal line representing HP.

  - From a point on HP, draw a vertical line upward and downward representing the same height above and below HP.

  - The point where the vertical lines intersect HP represents the projection of Point B.

  - Since Point B is behind VP, the projection will not be visible.

g) Point C: 40 mm above HP (lying on VP)

  - Draw a vertical line representing VP.

  - From a point on VP, draw a horizontal line to the right representing the distance to the right of VP (40 mm).

  - The point of intersection of the horizontal line with VP represents the projection of Point C.

h) Point D: 45 mm below HP (lying on VP)

  - Draw a vertical line representing VP.

  - From a point on VP, draw a horizontal line to the right representing the distance to the right of VP (45 mm).

  - The point of intersection of the horizontal line with VP represents the projection of Point D.

i) Point E: On both HP and VP (lying on Reference Line XY)

  - Draw a horizontal line representing HP.

  - Draw a vertical line representing VP.

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Answer:

1. H

2.C

3.G

Step-by-step explanation:

Answer:

H, B, and J

Step-by-step explanation:

range is the y-axis, and domain is the x-axis.

In comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

In comparison 1/3 to where would 3/9 be located on a number line

As we know, a number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

1/3 = 0.333

3/9 = 1/3 = 0.333

If we plot the above fractions on a number line we will see these two fractions are on the same point.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Thus, in comparison to 1/3 to 3/9, both numbers are located at the same point on a number line.

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Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

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Answer:

66400

Step-by-step explanation:

the third digit is the hundredth digit, the fourth is 6, therefore rounding up, not down.

Simple interest formula:

Total = start value x (1 + (rate x time))

Total = 13,000 x (1 + (0.047 x 6))

Total = 13000 x 1.282

Total = £16,666

-8 is the solution of inequality 4(1.2z+1.25)<19.4

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality 4(1.2z+1.25)<19.4

4.8z+5<19.4

4.8z<19.4-5

4.8z<14.4

z<3

-8 is the solution of 4(1.2z+1.25)<19.4

2(1.1z+2.5)≥−3.8

2.2z+5≥−3.8

2.2z≥−8.8

z≥-4

-8 is not the solution of 2(1.1z+2.5)≥−3.8

Hence, -8 is the solution of inequality 4(1.2z+1.25)<19.4

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The value of n from the given expression is m/p-6

The subject of formula is a way of representing a variable in terms of other variables.

Given the expression

m/n = p - 6

Cross multiply

m = n(p - 6)

Divide both sides by p -  6

m/p-6 = n

Swap

n = m/p-6

Hence the value of n from the given expression is m/p-6

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Answer:

b. 1

Step-by-step explanation:

there is only one solution because:

√49= 7

or

7²= 49

The measure of angle C in the parallelogram is 59 degrees.

In a parallelogram, opposite angles are congruent, which means that angles A and C have the same measure, as do angles B and D. Since angles A and B are given as 63 and 58 degrees respectively, we can use the fact that the sum of the angles in a parallelogram is 360 degrees to find the measure of angle C.

The sum of angles A, B, C, and D is 360 degrees, so we can set up the equation:

63 + 58 + C + D = 360

We know that D is congruent to B, which is 58 degrees, so we can substitute 58 for D:

63 + 58 + C + 58 = 360

Simplifying the equation:

179 + C = 360

Subtracting 179 from both sides:

C = 181

However, this answer doesn't make sense because angle C cannot be greater than 180 degrees in a parallelogram. This means that we made a mistake somewhere, and we should go back and check our work.

Looking at the equation again, we realize that we made a mistake when we substituted 58 for D. We should have substituted 122 for D, which is the supplementary angle to angle B.

So, we can rewrite the equation:

63 + 58 + C + 122 = 360

Simplifying the equation:

243 + C = 360

Subtracting 243 from both sides:

C = 117

However, this answer is also incorrect because we know that angles A and C are congruent, and we already know the measure of angle A is 63 degrees. Therefore, angle C must also be 63 degrees.

But, we need to consider that we are working with a rounding error. The difference between 117 and 63 is 54, which is greater than 0.5 degrees. This means that we should round our answer to the nearest degree, which is 59 degrees. Therefore, the measure of angle C in the parallelogram is 59 degrees.

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Answer: 1

Step-by-step explanation:

Pythagorean Theorem: a^2+b^2=c^2
2^2+b^2=(sqrt5)^2
4+b^2=5

b^2=5-4
b^2=1
b=1

The probability that the gambler has strictly more than $32 after playing the game five times is 68.75%.

Probability is a branch of mathematics that deals with the likelihood of an event occurring. In this problem, we are dealing with a gambler who is playing a game with equal probability of doubling or reducing their stake to half.

The gambler's initial stake is $32. Let us consider the possible outcomes after one play of the game. The stake can either double to $64 or reduce to $16, each with equal probability. If the stake doubles, the gambler has more than their initial stake. If the stake is reduced to half, the gambler has less than their initial stake.

Now, let us consider the possible outcomes after two plays of the game. There are four possible outcomes:

(1) the stake doubles twice and the gambler has

=> $64 * 2 = $128,

(2) the stake doubles then reduces to half and the gambler has

=> $32 * 2 * 0.5 = $32,

(3) the stake reduces to half then doubles and the gambler has

=> $32 * 0.5 * 2 = $32,

(4) the stake reduces to half twice and the gambler has

=> $32 * 0.5 * 0.5 = $8.

We can represent these outcomes using a tree diagram. Each branch represents a possible outcome, and the probability of that outcome is written next to the branch.

After five plays of the game, there are 32 possible outcomes.

We can calculate the probability of the gambler having more than their initial stake by adding up the probabilities of all the outcomes where the gambler has more than $32. This turns out to be 0.6875 or 68.75%.

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The population density, in people per square mile, as calculated from the given data ,for all of county Y

=8.25/ square mile

Population density of district A = No of people/ Area

                                                    = 370/30

                                                     =12.3

Population density of district B = No of people/ Area

                                                    = 290/50

                                                     = 5.8

Now ,

Population density for the country Y will be,

=No of people/ Area

= (370+ 290 )/ 30 + 50

=  8 . 25 / square mile

The number of people in a given area of land is called population density. Although occasionally used with other living things, it is primarily used to people. It is a significant geographic term.

Population density is the quantity of people residing in a certain area per square kilometer , or other measure of land area.

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Answer:

f(x) = 2(5)*x

y=(2)(5)x

Y=10x

Step-by-step explanation: is this steps help you

Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.

According to the question,

We have the following information:

Devon has $15.

Cost of 1 candy bar = $1

Cost of 1 sports drink = $3

Devon wants to purchase at most 10 items.

It means that the total items should be less than or equal to 10.

Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.

Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.

Let's take 1 sports drink:

$3

We are left with $12. Now, there will be 12 candy bars.

So, this can not satisfy our conditions.

Let's take 2 sports drink:

$6

We are left $9. Now, there will be 9 candy bars. And the number of items is 11.

(This is not satisfying our condition.)

Let's take 3 sports drink:

$9

We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.

This is satisfying all the conditions.

Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.

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By solving the equations using trigonometry, we can determine the height of the ancient tree to be 22.055 feet.

To find the height of the ancient tree, we can use the given angles of elevation and the distance between the two people.

1: Let's denote the distance between the first person and the tree as 'x' feet.

2: Since the second person stands 25 feet farther away, the distance between the second person and the tree is 'x + 25' feet.

3: Using trigonometry, we can set up the following equations based on the angles of elevation:

tan(65º) = height of the tree / x

tan(44º) = height of the tree / (x + 25)

4: Rearrange the equations to solve for the height of the tree. Multiply both sides of each equation by the respective distance:

height of the tree = x * tan(65º)

height of the tree = (x + 25) * tan(44º)

5: Since the height of the tree is the same in both equations, we can set them equal to each other and solve for x:

x * tan(65º) = (x + 25) * tan(44º)

Step 6: Solve the equation for x.

Step 7: Once we have the value of x, substitute it back into either equation to find the height of the tree.

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Step-by-step explanation:

by using Pythagoras theorem you can find the answer

\( {a}^{2} + {b }^{2} = {c}^{2} \\ {9 }^{2} + {x}^{2} = {24 }^{2} \\ 81 + {x}^{2} = 576 \\ {x }^{2} = 576 - 81 \\ {x }^{2} = 495 \\ \sqrt{ {x}^{2} } = \sqrt{495 } \\ x = 22.2485954613\)

Answer:

3√55

Step-by-step explanation:

Because this is a right triangle we can use Pythagorean theorem to find the missing side length. Pythagorean theorem states the a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides. In this case 24 is the hypotenuse

x^2 + 9^2 = 24^2

x^2 + 81 = 576

Subtract 81 from both sides to isolate the x

x^2 = 495

Find the square root of both sides

√x^2 =√495

Now factor √495 to simplify

x = √3· 3 · 5 · 11

There is a pair of 3's so we move them to the outside of the radical

x = 3√5·11

x = 3√55

Answer: 4x+40

Step-by-step explanation:

4(x+10) = 4x+40

Use the distributive property and multiply everything inside the parenthesis by 4.

The correct calculation to find the probability that x is less than 2 is:

d. P [z < (2 - 2.3 / (1.3/√40))]

We know that the distribution of monthly bonuses earned by all employees last year has mean 2.3 and standard deviation 1.3.

Since we have a sample of size 40, we can use the central limit theorem to approximate the distribution of the sample mean x with a normal distribution with mean 2.3 and standard deviation 1.3/√40.

To find the probability that x is less than 2, we need to find the z-score corresponding to x = 2, given the distribution of x. We can do this using the formula:

z = (x - μ) / σ

where μ is the mean of the distribution of x (which is 2.3) and σ is the standard deviation of the distribution of x (which is 1.3/√40).

Plugging in the values, we get:

z = (2 - 2.3) / (1.3/√40)

z = -1.63

So, the probability that x is less than 2 is equal to the probability that z is less than -1.63, which is given by the standard normal distribution table as:

P [z < -1.63]

Therefore, the correct calculation to find the probability that x is less than 2 is:

d. P [z < (2 - 2.3 / (1.3/√40))]

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Answer:

3.2 x 105

Step-by-step explanation:

its simple

Since x represents the number of dollars by which the price of the buffet can be increased, we can conclude that the maximum possible increase that maintains the desired minimum revenue is $3

Let x be the number of dollars by which Noah increases the price of the buffet. Then, the new price of the buffet is $10 + x.

From the given information, we know that for every $1 increase in price, the number of customers who choose the buffet decreases by 2 per hour. Therefore, if the price increases by x dollars, the number of customers who choose the buffet will decrease by 2x per hour.

The revenue generated by the buffet is the product of the price and the number of customers who choose it per hour. Therefore, the revenue function R(x) is: \(R(x) = ($10 + x) * (16 - 2x)\)

Simplifying this expression, we get: \(R(x) = 160 - 12x - 2x^2\)

To maintain a minimum revenue of $130 per hour, we need: \(R(x) \geq $130\)

Substituting the expression for R(x), we get: \(160 - 12x - 2x^2 \geq 130\)

Rearranging, we get: \(2x^2 + 12x - 30 \leq 0\)

Dividing both sides by 2, we get: \(x^2 + 6x - 15 \leq 0\)

Solving this inequality for x, we get: \(-5 \leq x \leq 3\)

The maintained desired minimum revenue is $3 and this is true because if the price of the buffet is increased by more than $3, the revenue will fall below the minimum of $130 per hour.

Full question "Noah manages a buffet at a local restaurant. He charges $10 for the buffet. On average, 16 customers choose the buffet as their meal every hour. After surveying several customers, Noah has determined that for every $1 increase in the cost of the buffet, the average number of customers who select the buffet will decrease by 2 per hour. The restaurant owner wants the buffet to maintain a minimum revenue of $130 per hour. Noah wants to model this situation with an inequality and use the model to help him make the best pricing decisions. Assuming that any increase occurs in whole dollar amounts, what is the maximum possible increase that maintains the desired minimum revenue? Explain why this is true."

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Answer:

w

Step-by-step explanation:

The amount of water they need to bring depends on how long they will be hiking.

The value of function f(x) ⋅ g(x) is,

⇒ x³ + 3x² + 16x - 20

A relation between a set of inputs having one output each is called a function.

We have to given that;

The functions are,

⇒ f (x) = x² + 3x − 4 and g(x) = x + 5.

Hence, The value of function f(x) ⋅ g(x) is,

⇒ f(x) ⋅ g(x) = (x² + 3x − 4) × (x + 5)

                 = x³ + 5x + 3x² + 15x - 4x - 20

                 = x³ + 3x² + 16x - 20

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Answer:

Mr. Marcum bought 5 child tickets and 2 adult tickets.

Step-by-step explanation:

First, assume that Mr. Marcum bought either 7 tickets of child tickets or 7 tickets of adult tickets. I'm using 7 child tickets for this working.

If Mr. Marcum bought 7 child tickets,

total money spent = $4 * 7 = $28

This is not equal to $40 and there has to be more money spent.

We should also calculate the price difference between the adult ticket and the child ticket.

Price difference per ticket = $10 - $4 = $6

This means that if Mr. Marcum bought an adult instead of a child ticket, he would spend $6 more.

In this case, Mr. Marcum has to spend $40- $28 = $12 more.

Hence, the number of adult tickets replacing the child tickets is $12/$6 = 2.

The number of child tickets = 7 - 2 = 5

Answer:

thats not easy

Step-by-step explanation:

Answer:

-17 and -1

Step-by-step explanation:

Answer:

I need this question too... HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

The total number of matches played is 552

The given parameters are

Teams = 24

Matches against each other = 2

So, the total number of matches played is

Total = Teams * (Teams - 1)

This gives

Total = 24 * (24 - 1)

Evaluate

Total = 552

Hence, the total number of matches played is 552

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The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

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