Are the slats next to each other parallel?
Pls explain

The ratio of DE and AB is 3:√2.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The coordinate of points A(0,3/2), B(3/2,0), D(2,-3) and E(2,-3/2)

The distance between AB = \(\sqrt{(3/2-0)^2+(0-3/2)^2}\) = √(9/4+9/4) = 3/√2

The distance between DE= \(\sqrt{(2-2)^2+(3/2+3)^2\\)= 9/2            

The ratio of DE and AB is = (9/2)/ (3/√2) = (3/√2)

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The equation would be -x+10.2-\(\frac{1}{2}\)x+y

The equation contains:

-decimals

-variables

-negatives

-fractions

-like-terms

Answer:

The algebraic expression has one constant, 10.2, which is a number by itself. The variables, which are letters that stand for unknown values, are x and y. The coefficients, which are numbers that are multiplied to the variables, are

-1, -1/2, and 1. The terms that have an x are like terms.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

10+10+20+40+70=150

150/5=30

hope this helps!

Answer:

ok so find the average first we have to add up

10+10=20

20+40=60

70+20=90

90+60=150

then we have to divide by the number so 5 since their is 5 number in the date set

150/5=30

30

Hope This Helps!!!

By using factoring by grouping or synthetic division, we find that \(x = -2\) is a real solution.

Checking for Rational Roots

Using the rational root theorem, the possible rational roots of the polynomial are given by the factors of the constant term (24) divided by the factors of the leading coefficient (-4).

The possible rational roots are ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24.

By substituting these values into \(f(x)\), we find that \(f(-2) = 0\). Hence, \(x + 2\) is a factor of \(f(x)\).

Dividing \(f(x)\) by \(x + 2\) using long division or synthetic division, we get:

Now, we have reduced the problem to factoring \(-4x³ + 18x² - 16x + 12\).

Attempt 2: Factoring by Grouping

Rearranging the terms, we have:

Factoring out common factors, we obtain:

Now, we have \(2x^2(-2x + 9) + 4(4x - 3)\). We can further factor this as:

Therefore, the fully factored form of \(f(x) = -4x⁴  + 26x³  - 50x² + 16x + 24\) is \(f(x) = (x + 2)(2x² + 4)(-2x + 9)\).

Solutions to the polynomial equations:

Using polynomial division or synthetic division, we can find the quadratic equation \((x + 2)(x² + 2x - 3)\). Factoring the quadratic equation, we get \(x² + 2x - 3 = (x +

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The answer to this question is as follows Given that this is a equation contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.

4C(-3) = 8

The phrase 4C(-3), which calls for multiplying 4 by the value of C when it equals -3, has to be evaluated.

4C(-3) = 4 x C(-3) (-3)

We must now determine what C(-3) is. This requires entering -3 for the C expression:

C(-3)

By understanding that this phrase refers to the value of C when it is equal to -3, we can make it simpler. C(-3) thus equals 3.

When we add this value back into the formula, we obtain:

4C(-3) = 4 x C(-3) = 4 x (-3) = -12

But, because we were informed that 4C(-3) = 8, we have:

8 = -12

Given that this is a contradiction, 4C(-3) = 8 cannot be satisfied for any value of C. As a result, this equation cannot be solved.

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Step-by-step explanation:

The price of a game discounted by 18% is 0.82x cuz 82% is left

the price of the toy is 1.18x because x + 0.18x

the volume of water is  7/10x because 7/10 is left

the total amount of flour is 13/10x because 10/10x + 3/10x

True. An exclusion is a value for a variable in the numerator or denominator that will make either the numerator or denominator equal to zero.
True, an exclusion is a value for a variable in the numerator or denominator that will make either the numerator or denominator equal to zero. This is important because division by zero is undefined, and such exclusions must be considered when solving equations or working with fractions. By identifying these exclusions, you can avoid potential mathematical errors and better understand the domain of a function or equation. In mathematical terms, this is known as a "zero denominator" or "zero numerator" situation. In such cases, the equation or expression becomes undefined, and it cannot be evaluated. Therefore, it is essential to identify and exclude such values from the domain of the function or expression to ensure the validity of the result. Failure to do so can lead to incorrect answers or even mathematical errors. Hence, understanding and handling exclusions is an essential aspect of algebra and calculus.

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The distance between the helicopter and the white house is changing at a rate of 1.95 km/min.

We can use the Pythagorean theorem to relate the distance between the helicopter and the white house to the altitude and the distance travelled by helicopter,

distance² = altitude² + distance_traveled²

Differentiating with respect to time, we get:

2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × altitude × \(\frac{d(altitude)}{dt}\) + 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)

Since the helicopter is flying parallel to the ground, its altitude is constant, so \(\frac{d(altitude)}{dt}\) = 0. Also, the distance traveled by helicopter is just its speed times time, so we have,

distance_traveled = speed × time = 2 * 1 = 2 km

Plugging in these values, we get:

2 × distance ×\(\frac{d(distance)}{dt}\) = 2 × (1/2) × 0 + 2 × 2 × distance_traveled ×\(\frac{d(distance-traveled)}{dt}\)= 4 × \(\frac{d(distance-traveled)}{dt}\)

Now we need to find \(\frac{d(distance)}{dt}\) when time is 1 minute. To do this, we can use the fact that the helicopter is traveling at a constant speed of 2 km/min, so its distance from the white house is increasing at a rate of 2 km/min. Thus, we have:

\(\frac{d(distance-traveled)}{dt}\) = 2 km/min

Substituting this into our equation, we get:

2 * distance ×\(\frac{d(distance)}{dt}\)  = 4 * (2 km/min)

\(\frac{d(distance)}{dt}\) = 4 km/min

We still need to find the value of distance at the moment when the helicopter is 1 minute past the white house. Using the Pythagorean theorem, we have:

distance² = altitude² + distance_traveled² = (1/2)² + 2² = 17/4

distance = √(17)/2 km

Plugging this value into our expression for \(\frac{d(distance)}{dt}\) , we get:

\(\frac{d(distance)}{dt}\) = 4 km/min / √(17)/2 km = 8/√(17) km/min ≈ 1.95 km/min.

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a) The height of the frisbee each second it is in the air are 5, 29, 45, 53, 53, 45, 29, 5, -27 and -67.

b) The frisbee is in the air for a total of 8 seconds.

To find the height of the frisbee each second it is in the air, we need to substitute different values of t into the equation \(h = -16t^2 + 40t + 5\) and calculate the corresponding height.

a) Let's substitute t = 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 into the equation:

When t = 0: \(h = -16(0)^2 + 40(0) + 5 = 5\)

When t = 1: \(h = -16(1)^2 + 40(1) + 5 = 29\)

When t = 2: \(h = -16(2)^2 + 40(2) + 5 = 45\)

When t = 3: \(h = -16(3)^2 + 40(3) + 5 = 53\)

When t = 4: \(h = -16(4)^2 + 40(4) + 5 = 53\)

When t = 5: h = \(-16(5)^2 + 40(5) + 5 = 45\)

When t = 6: h = \(-16(6)^2 + 40(6) + 5 = 29\)

When t = 7: h = \(-16(7)^2 + 40(7) + 5 = 5\)

When t = 8: h = \(-16(8)^2 + 40(8) + 5 = -27\)

When t = 9: h =\(-16(9)^2 + 40(9) + 5 = -67\)

b) The frisbee is in the air as long as its height is greater than 0. From the calculations above, we can see that the frisbee is in the air from t = 0 to t = 7, inclusive.

Note: The table you provided shows the height of the frisbee at each second it is in the air, but it seems to be cut off. However, based on the calculations above, the height values at each second should be as follows:

0 seconds: 5 feet

1 second: 29 feet

2 seconds: 45 feet

3 seconds: 53 feet

4 seconds: 53 feet

5 seconds: 45 feet

6 seconds: 29 feet

7 seconds: 5 feet

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Assuming Boden does not add or take out any money, he would have $470.4 in the account after 4​ years.

Mathematically, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

Substituting the given parameters into the simple interest formula, we have;

S.I = 400 × 4.4/100 × 4

S.I = 400 × 0.044 × 4

S.I = $70.4.

Next, we would calculate the future value as follows;

S.I = A - P

Future value, A = S.I + P

Future value, A = $70.4 + $400

Future value, A = $470.4.

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a. The random variable X is the number of California residents in a sample of 11 who have adequate earthquake supplies.

b. X may take on the values 0, 1, 2, ..., 11, since it is possible that none or all of the residents have adequate earthquake supplies.

c. X ~ Binomial(11, 0.3), since we have a fixed number of trials (n=11) and each trial is either a success (having adequate earthquake supplies) or a failure (not having adequate earthquake supplies), and the probability of success (p=0.3) is constant for each trial.

d. To find the probability that at least eight have adequate earthquake supplies, we can use the binomial probability formula or a calculator. Using a calculator, we get P(X >= 8) = 0.0512.

e. It is more likely that none of the residents surveyed will have adequate earthquake supplies.

f. The expected value of X is E(X) = np = 11 x 0.3 = 3.3. So we can expect about 3 or 4 residents out of the 11 to have adequate earthquake supplies on average.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

a. The random variable X is the number of California residents in a sample of 11 who have adequate earthquake supplies.

b. X may take on the values 0, 1, 2, ..., 11, since it is possible that none or all of the residents have adequate earthquake supplies.

c. X ~ Binomial(11, 0.3), since we have a fixed number of trials (n=11) and each trial is either a success (having adequate earthquake supplies) or a failure (not having adequate earthquake supplies), and the probability of success (p=0.3) is constant for each trial.

d. To find the probability that at least eight have adequate earthquake supplies, we can use the binomial probability formula or a calculator. Using a calculator, we get P(X >= 8) = 0.0512.

e. It is more likely that none of the residents surveyed will have adequate earthquake supplies. This is because the probability of success (having adequate earthquake supplies) for each resident is only 0.3, which means the probability of all 11 residents having adequate supplies is very low \(0.3^{11}\), while the probability of none of them having adequate supplies is much higher \((0.7^{11})\).

f. The expected value of X is E(X) = np = 11 x 0.3 = 3.3. So we can expect about 3 or 4 residents out of the 11 to have adequate earthquake supplies on average.

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True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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Answer: y=7/(a-1)

x=7/(1-a)

Step-by-step explanation:

x + y = 0

x + ay = 7

y-ay=0-7

y(1-a)=-7

y=-7/(1-a)

y=7/(a-1)

x + y = 0

x+7/(a-1)=0

x=-7/(a-1)

x=7/(1-a)

The value of a in the right triangle is 5

From the question, we have the following parameters that can be used in our computation:

The right triangle

Using the pythagoras theorem, we have

(leg₁)² + (leg₂)² = (hypotemuse) ²

Substitute the known values in the above equation, so, we have the following representation

(a + 1)² + (a + 3)² = (a + 5)²

When evaluated, we have

a = 5

Hence, the value of a is 5

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Answer:

The mean would decrease.

Step-by-step explanation:

If the mean score of 24 students is 77.

The total score of 24 students = 24 x 77 = 1848

If the outlier is removed, the mean would become

New total score / number of students = (1848 - 89) / (24 - 1)

1759/23 = 76.5

It can be seen that the mean decreased.

Answer:

The mean would decrease.

Step-by-step explanation:

i took the test

Step-by-step explanation:

C.

π/9 is less than sqrt(9) / 3 which is 1. Also, this question is quite ambiguous, and the answer could be none, because sqrt(9)/3 can also be -1

Answer:

The opposite of -3 5/8 is on the right (or opposite) side of zero on the number line as -3 5/8. The opposite of 4 2/9 is on the left (or opposite) side of zero on the number line as 4 2/9.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

The expression is equivalent to \(\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\\).

Expression; \(\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\)

Which expressions are equivalent to the given expression.

Expression; \(\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\)

To solve the given expression follow all the steps given below.

By applying the distributive property of multiplication;

\(\rm a(b+c) = ab+ac\)

Then,

The equivalent expression is,

\(\rm 2(\dfrac{3}{4}x+7) -3(\dfrac{1}{2}x-5)\\ \\ \rm (2 \times \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\ \\ 2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\\)

Hence, the expression is equivalent to \(\rm2( \dfrac{3}{4}x) + 2(7) -3(\dfrac{1}{2}x) + (-3) (-5)\\\).

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B:C:E are the answers;]

N 2

Part a

Multiply $5 for the number of sandwiches

so

5*359=$1,795

Part b

Divide the number of sandwiches by the number of customers

so

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

On average, each customer will take advantage of 1.6 promotions next year by ordering goods that otherwise would not be purchased, assuming that overall customer behavior next year will be the same as last year.

What is probability?

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

Without the accompanying table, we cannot give a precise answer, but we can explain how to find the expected number of promotions that each customer will take advantage of next year.

Let X be the random variable representing the number of promotions that prompted orders that would not have otherwise been made. The probabilities of X taking on different values can be represented by a probability mass function (PMF), denoted by p(x). The expected value or the mean of X, denoted by E(X), is given by:

E(X) = Σ [x * p(x)]

where the summation is taken over all possible values of X.

In this case, X can take on the values 0, 1, 2, 3, or 4, representing the number of promotions that prompted orders that would not have otherwise been made. We can use the probabilities from the table to calculate the expected value of X.

For example, if the probabilities of X taking on different values are given by:

p(0) = 0.2

p(1) = 0.3

p(2) = 0.25

p(3) = 0.15

p(4) = 0.1

then the expected value of X is:

E(X) = (0 * 0.2) + (1 * 0.3) + (2 * 0.25) + (3 * 0.15) + (4 * 0.1) = 1.6

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Complete question:

Tο examine the effectiveness οf its fοur annual advertising prοmοtiοns, a mail οrder cοmpany has sent a questiοnnaire tο each οf its custοmers, asking hοw many οf the previοus year's prοmοtiοns prοmpted οrders that wοuld nοt have οtherwise been made. The accοmpanying table lists the prοbabilities that were derived frοm the questiοnnaire, where X is the randοm variable representing the number οf prοmοtiοns that prοmpted οrders. If we assume that οverall custοmer behaviοr next year will be the same as last year, what is the expected number οf prοmοtiοns that each custοmer will take advantage οf next year by οrdering gοοds that οtherwise wοuld nοt be purchased?

X 0 1 2 3 4

P(X) 0.07 0.229 0.319 0.192 0.19

Expected value =

A previοus analysis οf histοrical recοrds fοund that the mean value οf οrders fοr prοmοtiοnal gοοds is 23 dοllars, with the cοmpany earning a grοss prοfit οf 25% οn each οrder. Calculate the expected value οf the prοfit cοntributiοn next year.

Expected value =

The fixed cοst οf cοnducting the fοur prοmοtiοns is estimated tο be 16000 dοllars with a variable cοst οf 4 dοllars per custοmer fοr mailing and handling cοsts. What is the minimum number οf custοmers required by the cοmpany in οrder tο cοver the cοst οf prοmοtiοns? (Rοund yοur answer up tο the next highest integer.)

Break even pοint =

Answer:

19,250 I think.

Step-by-step explanation:

2,750 x 7 19,250

If a > b, then |a - b| = a - b if a - b is positive. This means that the distance from a - b to zero on the number line is equal to a - b itself. If a - b is negative, then |a - b| is equal to the opposite of a - b.

The absolute value of a - b is equal to a - b if a - b is positive because the absolute value of a number is the distance from that number to zero on the number line. So, if a is greater than b, then a - b is a positive number. Therefore, the distance from a - b to zero on the number line is equal to a - b.

The absolute value of a number is the distance from that number to zero on the number line. For example, the absolute value of 5 is 5 because the distance from 5 to 0 on the number line is 5 units. The absolute value of -5 is also 5 because the distance from -5 to 0 on the number line is also 5 units.
Now, let's look at the expression |a - b|. This means the absolute value of the difference between a and b. If a is greater than b, then a - b is a positive number. For example, if a = 10 and b = 5, then a - b = 5. So, |a - b| = |10 - 5| = |5| = 5.
However, we are looking for the condition under which |a - b| = a - b. This means that the absolute value of a - b is equal to a - b itself. This only happens when a - b is positive. Let's use the same example as before. If a = 10 and b = 5, then a - b = 5. In this case, a - b is positive, so |a - b| = |10 - 5| = |5| = 5, which is equal to a - b.

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Hello! :)

To solve you equation, we will first Distribute

(-3) (w) + (-3) (3) + 4w

= -3w + -9 +4w

Now, we will combine like terms

-3w + -9 + 4w

= (-3w + 4w) + (-9)

= w + 9

Hope this helped you!

THEDIPER

Step-by-step explanation: x =9

Answer:

The answer is X = 0