234,143 rounded to the nearest hundred

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

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Answer:

6

-16

-5

0

Step-by-step explanation:

Step-by-step explanation:

(-2) + (+8) = 6

(-9) + (-7) = -16

(-4) + (-9) = -5

(-7) + (+7) = 0

Answer:

20

Step-by-step explanation:

The diagonal of a rectangle can be found using the formula:

\(\sqrt{(l^2 + w^2)}\)

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

7x+35>21

Subtract 35 from both sides

7x>-14

Divide both sides by 7

x>-2

Hope this helps!

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

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Answer:

0.975617283951

Step-by-step explanation:

first, we solve both equations.

electromagnetic waves travel at a rate of 324 meters per second.

A satellite is orbiting the earth at a height of 316.1

the problem told us that time=distance/rate (AKA: speed)

the rate(speed) is 324 meters per second. the distance is 316.1

now we figure out 316.1/324=0.975617283951

If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Answer:

11,143.3

Step-by-step explanation:

Density measures the number of people per unit area

Density = population / area

1,579,000 / 141.7  = 11,143.30

Answer:

I believe it is 3262

Step-by-step explanation:

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Answer:

512 ft and 1,232 ft

Step-by-step explanation:

area is length x width

the pool's area can be calculated doing 32ft x 16ft

the area of the pool is 512 ft

the deck's area can be calculated doing 28ft x 44ft

the area of the deck is 1,232 ft

you're welcome<3

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Complete Question

Calculate the annual expected profit.

Answer:

\(\left|\begin{array}{c|c|c|c}---&---&---&---\\$Unit Profit(X)&\$38&\$32&\$24\\P(X)&0.1&0.7&0.2\\\end{array}\right|\)

Annual Expected Profit=$213,900

Step-by-step explanation:

Optimistic Probability= 10%=0.1

Pessimistic probability= 20%=0.2

Therefore, probability of the most likely unit (7000)=1-(0.2+0.1)=0.7

Given the Units, Probability of sales of each number of units and projected profit from at each level of sales

\(\left|\begin{array}{c|c|c|c}---&---&---&---\\$Units&10000&7000&5000\\P(X)&0.1&0.7&0.2\\$Unit Profit&\$38&\$32&\$24\end{array}\right|\)

Profit = Number of Units X Unit Profits

Therefore, a probability distribution for the annual profit is:

\(\left|\begin{array}{c|c|c|c}---&---&---&---\\$Unit Profit(X)&\$38&\$32&\$24\\P(X)&0.1&0.7&0.2\\\end{array}\right|\)

Expected Unit Profit

= (38*0.1)+(32*0.7)+(24*0.2)

=$31

Expected Sales

=(10000*0.1)+(7000*0.7)+(5000*0.2)

=6900 Units

Yearly Expected Profit =6900*$31

=$213,900

Step-by-step explanation:

yes

no

yes

yes

that is the correct answer

None of the given expressions (1), (2), (3), or (4) correctly calculates the area of the isosceles triangle. The correct expression is (1/2) * 14 * (7 * tan(44°)).

To calculate the area of an isosceles triangle, we need the base length and the height of the triangle. In this case, the base length is given as 14 inches, but the height is not provided.

However, we can use trigonometry to find the height of the triangle by using one of the base angles. Since the triangle is isosceles and the base angles are each 68°, we know that the remaining angle (at the top of the triangle) is 180° - 68° - 68° = 44°.

We can then use the trigonometric function tangent (tan) to find the height. The formula is: tan(angle) = opposite/adjacent.

tan(44°) = height/7, where 7 represents half of the base length.

Rearranging the equation, we have: height = 7 * tan(44°).

Now, we can calculate the area of the triangle using the formula: area = (1/2) * base * height.

Substituting the given values, we get:area = (1/2) * 14 * (7 * tan(44°)).

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Answer:

The Liberty Tree (1646–1775) was a famous elm tree that stood in Boston near Boston Common, in the years before the American Revolution. The tree became a rallying point for the growing resistance to the rule of Britain over the American colonies, and the ground surrounding it became known as Liberty Hall. By hanging the noose there it is symbolizing liberty and justice is served.

Step-by-step explanation:

please mark brainliest, I hope this helps

A system of two equations involving L and W based on the perimeter and area information include the following:

Area equation: 60 = LW

Perimeter equation: 34 = 2(L + W).

Mathematically, the perimeter of a rectangle can be calculated by using this equation;

P = 2(L + W)

Similarly, the area of a rectangle can be calculated by using this mathematical expression:

A = LW

Where:

Substituting the given points into the perimeter and area of rectangle formula, we have the following;

A = LW ⇒ 60 = LW

P = 2(L + W) ⇒ 34 = 2(L + W).

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Answer:

The mean of X is 2

Step-by-step explanation:

Given the data in the question;

set of 10 cards consist of 5 red card and 5 blacks

cards are chosen, replaced and shuffled four times;

number of independent trials n = 4

now, since its is replaced, the probability of getting a red card in each trial will be;

p = 5/10 = 0.5

let X rep the number of red cards observed in the four trials.

the random variable follows binomial distribution where

n = 4 and p = 0.5

so

E(X) = ∑xP( X = x )

E(X) = np

we substitute

E(X) = 4 × 0.5

E(X) = 2

Therefore, The mean of X is 2

Answer:

2x - 3 = 11

x = -21

Step-by-step explanation:

Answer:

The equation would be 9x=y

Step-by-step explanation:

The equation for the counselor and the camper will be y = 9x

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation will be formed as:-

The number of campers, y, that there is for x counselors so equation will be given as.

Y = 9x

For one counselor there are 9 campers and for 2 there will be 18 counselors the graph of the equation is also attached with the answer.

Therefore the equation for the counselor and the camper will be y = 9x

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Answer:

11 and 12

Step-by-step explanation:

\(\sqrt{128} =11.3\)

meaning it lies between 11 and 12

We need to find : Which expression is a difference of a number and a product?

So, the expression A :(x+2)/4 is divided operation

Expression B : 3(7+x) is product and sum

Expression C : 3 - 8x is a difference of a number and a product

Expression D : 6 + x - 1 is sum of a number and subtraction

So, the answer is option C : 3 - 8x

Answer: This type of sample is called a stratified random sample. The population (city) is divided into various zones, and then a random sample of households (5 from each zone) is taken from each stratum (zone). This helps ensure that the sample is representative of the population as a whole and includes a proportional number of households from each zone.

Step-by-step explanation:

stratified random sampling is a powerful tool for researchers to ensure that their sample accurately reflects the population of interest, and can help increase the validity and reliability of research findings.

How to study sample?

This sampling method is an example of stratified random sampling, where the population is divided into different subgroups or strata, and a random sample is drawn from each stratum. In this case, the strata are the various zones of the city, and the researcher randomly selects five households from each zone.

Stratified random sampling is a commonly used sampling method in research because it can increase the representativeness of the sample and reduce sampling error. By dividing the population into different strata based on relevant characteristics, such as geographic location, age, gender, or income level, the researcher can ensure that each stratum is adequately represented in the sample.

In this example, the researcher is interested in studying public transportation usage in different zones of the city. By stratifying the population by zone and selecting a random sample of households from each zone, the researcher can obtain a representative sample of the population and draw conclusions about public transportation usage in each zone.

Overall, stratified random sampling is a powerful tool for researchers to ensure that their sample accurately reflects the population of interest, and can help increase the validity and reliability of research findings.

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Your complete question is :-A city collects data about public transportation. The researcher divides the city into various zones, and randomly chooses 5 households from each zone to survey. Which type of sample does this represent?

Okay, here we have this:

Considering the provided equation in standard form, we are going to convert it to vertex form step by step, so we obtain the following:

y = -x²+ 12x -4

Considering that the model of an equation in standard form is y=ax²+bx+c. First we are going to axtract "a" from the first two terms:

y=-1(x²-12x)-4

Now, we are going to complete the square for the expressions with x, so we have:

y=-1(x²-12x+36-36)-4

y=-1((x - 6)²-36) -4

And, finally we are going to simplify:

y=-1(x - 6)²+36-4

y=-(x - 6)²+32

We obtain that the equation in vertex form is y=-(x - 6)²+32.

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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The number of times bisection can occur before there are no floating-point numbers in the interval depends on the precision of the floating-point representation used.

In most computer systems, floating-point numbers are represented with a finite number of bits, usually in the range of 32 to 64 bits. The number of bits determines the maximum number of significant digits that can be represented and therefore the maximum precision of the floating-point representation.

For example, using 64-bit floating-point representation, the maximum representable number has approximately 15 to 16 significant digits, and the smallest representable positive number has a magnitude of approximately 10^-308.

In practice, the bisection method is often used in conjunction with stopping criteria, such as a desired precision, to terminate the iterations before the interval becomes too small to be represented.

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Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

As you probably know, trinomials of the form y=ax²+bx+c,a≠1 can be solved by finding two numbers that multiply to a×c and that add to b.

∴ Two numbers that multiply to −2 and that add to −1 are −2 and +1.

(2cos²θ−2cosθ)+(cosθ−1)=0

(2cosθ+1)(cosθ−1)=0

cosθ=−1/2andcosθ=1

By special angles:

θ=120˚,240˚and0˚,or3π/2+2nπ,4π/ 3+2nπ and 2nπ, n being an integer.

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It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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