Find the measure of XYZ

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

$13608

Amount saved by Bao per month = $179

Amount saved by Bao per month = Ada's savings - 179

Amount saved by Ada = $179 + $145

Amount saved by Ada per month = $324

time = three and a half years

We convert years to months:

12 months = 1 year

time = 3(12) + 1/2(12) = 36 + 6

time = 42 months

Amount Ada saved = $324 × number of months

Amount Ada saved = $324 × 42

Amount Ada saved = $13608

The total number of $12 tickets are 120 while the $15 tickets are 180.

In addition to using operational signs, algebraic expressions also include numbers and variables. Examples include multiplication, multiplication with the natural exponent, division, and addition, subtraction, and exponentiation. The term "fractional expression" refers to division in an algebraic expression with variables.

The term "rational numbers" refers to numbers that can be expressed as fractions. Integers, repeating decimals, and terminating decimals are a few examples.

Given that x stands for $12 tickets and y stands for $15 given as the equation

12x + 15y = 4140

x + y = 300

y = 300 - x

Substitute the value of y in the first equation

12x + 15(300 - x) = 4140

12 x + 4500 - 15x = 4140

12x - 15x = 4140 - 4500

-3x = −360

x = 360/3

x = 120

y = 300 - (120)

y = 180

Thus, The total number of $12 tickets are 120 while the $15 tickets are 180.

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Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

lines are perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

Calculate the slopes m of the 2 lines using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (7, 3 ) and (x₂, y₂ ) = (8, 7 )

m = \(\frac{7-3}{8-7}\) = \(\frac{4}{1}\) = 4

Repeat with

(x₁, y₁ ) = (- 5, - 4 ) and (x₂, y₂ ) = (- 1, - 5 )

m = \(\frac{-5-(-4)}{-1-(-5)}\) = \(\frac{-5+4}{-1+5}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)

Slopes are not equal so lines are not parallel

4 × - \(\frac{1}{4}\) = - 1

Then the 2 lines are perpendicular to each other

Given that a binomial is multiplied by a trinomial.

A binomial means containing two terms normally

x+a

Trinomial is containing 3 terms may be

ax^2+bx+c

When we multiply we can get degree 3 also as shown above.

Hence the statement is false.

When a binomial is multiplied by a trinomial getting a product of degree 5 is only occasional and not always.

Answer:

|4| = |7|

this is the answer of this question

Answer:

69824.21

¯\_(ツ)_/¯

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Step-by-step explanation:

Answer:

Unit rate = 2 mph

Step-by-step explanation:

Distance travelled = 1½ miles = \( \frac{3}{2} \) miles

Time taken = ¾ hours

\(Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{3}{2} }{ \frac{3}{4} }\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{3}{2} \times \frac{4}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \: mph (miles \: per \: hour)\)

It is important to note that the probability of an exact match at all 16 loci is very low, as even small differences in the number of repeats at each locus can result in different genotypes. This makes it unlikely to find two individuals with an exact match at all loci.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

To calculate the probability of an identical match at all 16 STR loci, you would need to determine the frequency of each unique genotype at each locus, and then multiply the frequencies of each unique genotype to obtain the probability of all 16 loci having the same genotype in two individuals.

This probability would be based on the genetic makeup of the population of elephants that the individuals are drawn from, and the specific alleles present at each locus in each individual.

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Answer:

t ≤ 1

Step-by-step explanation:

Complete question:

When a baseball is hit by a batter, the height of the ball, h(t), at time t, t=0 is determined by the equation h(t)=-16t^2+64t^2+4. If t is in seconds, for which interval of time is the height of the ball greater than or equal to 52 feet?

If the height of the ball is greater than or equal to 52, the equation becomes;

h(t)=-16t^2+64t^2+4

-16t^2+64t^2+4≥ 48

-16t²+64t + 4 - 52≥0

16t²-64t² +48≥0

-48t²+48≥0

Subtract 48 from both sides

-48t²+48-48≥0-48

-48t²≥-48

t²≤-48/-48

t²≤ 1

t ≤ 1

Hence the required interval is t ≤ 1

Answer:

B on Edge 2021 ;))

Step-by-step explanation:

When P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT. The correct answer is option d. TFTT.

The given truth table for the compound proposition P ⊃ Q is: P Q P⊃QT T T T T F FT F T T F

The conditional P ⊃ Q implies that whenever the antecedent P is true, then the consequent Q is true as well.

This implies that the only time the conditional P ⊃ Q is false is when the antecedent is true, but the consequent is false.

Since we see in the truth table that when P is true, and Q is true, the proposition P ⊃ Q is also true.

However, when P is true, and Q is false, the proposition P ⊃ Q is false. Therefore, the answer is TFTT.

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The value of given equation is  ∫2^1 f(x)dx is 7.

To track down the worth of ∫2^1 f(x)dx, we can utilize the properties of unequivocal integrals and the given data.

A function's integral over an interval can be divided into two integrals over subintervals, as is known. As a result, we are able to rewrite 21 f(x)dx as 52 f(x)dx) - 51 f(x)dx.

We are able to substitute these values into the equation because 52 f(x)dx is 4 and 51 f(x)dx is -3.

2/1 f(x)dx = 5/2 f(x)dx - 5/1 f(x)dx = 4 - 3 = 4 + 3 = 7.

As a result, 7 is the value of 21 f(x)dx.

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Factor:

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors: multiplication and division.

Multiple:

multiple in math are the numbers you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

How to find hcf of two or more numbers :

Steps 1:

Find all the factors of each given number.

Step 2:

Find common factors of the given number.

Step 3:

The greatest of all the factors obtained in Step 2, is the required highest common factor (H.C.F).

I'm only writing the answers below as I already told how to find it.

Highest common factor:

1. The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 2.

2. The factors of 15 are: 1, 3, 5, 15

The factors of 15 are: 1, 3, 5, 15The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 15 are: 1, 3, 5, 15The factors of 20 are: 1, 2, 4, 5, 10, 20Then the greatest common factor is 5.

3. 8

4. 12

5. 10

6. 14

How to find lcm. of numbers :

Step 1: Find the prime factors of the given numbers by repeated division method.

Step 2: Write the numbers in their exponent form. Find the product of only those prime factors that have the highest power.

Step 3: The product of these factors with the highest powers is the LCM of the given numbers.

I'm only writing the answers below as I already told how to find it.

Lowest common multiple :

1. 42

2. 12

3. 40

4. 20

5. 80

6. 42

hope it helps you..

The following are three possible ways:

If John has 4 dimes, then he would need 16 nickels to have 4 times as many nickels as dimes.

If John has 8 dimes, then he would need 32 nickels to have 4 times as many nickels as dimes.

If John has 12 dimes, then he would need 48 nickels to have 4 times as many nickels as dimes.

Let's start by setting up some equations. Let x be the number of nickels and y be the number of dimes that John has. We know that John has $0.60 worth of nickels and dimes, so we can write:

0.05x + 0.10y = 0.60

We also know that John has 4 times as many nickels as dimes, so we can write:

x = 4y

Now we have two equations with two unknowns, so we can solve for x and y.

One way to solve the system of equations is to substitute x = 4y into the first equation:

0.05(4y) + 0.10y = 0.60

0.20y + 0.10y = 0.60

0.30y = 0.60

y = 2

Then we can use the second equation to find x:

x = 4y = 4(2) = 8

So John has 8 nickels and 2 dimes.

As for the second part of the question, there are many ways to have 4 times as many nickels as dimes. Here are three possible ways:

If John has 4 dimes, then he would need 16 nickels to have 4 times as many nickels as dimes.

If John has 8 dimes, then he would need 32 nickels to have 4 times as many nickels as dimes.

If John has 12 dimes, then he would need 48 nickels to have 4 times as many nickels as dimes.

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Answer:

I would say C or B

Step-by-step explanation:

HOPE it helps :)

Answer: C

Step-by-step explanation:

-5 + 3 = -2

-4i + 2i = -2i

Given:

Total number of flower they buy = 29 stems

Total cost = $120.94

Lilies cost = $3.42 per stem

Peonies cost = $4.78 per stem

To find:

The number of lily stems and peony stems did they buy.

Solution:

Let number of lily stems = x

Number of lily stems and peony stems = y

According to given information,

\(x+y=29\)                           ...(i)

\(3.42x+4.78y=120.94\)                ...(ii)

From (i) and (ii), we get

\(3.42x+4.78(29-x)=120.94\)

\(3.42x+138.62-4.78x=120.94\)

\(-1.36x=120.94-138.62\)

\(-1.36x=-17.68\)

Divide both sides by -1.36.

\(x=\dfrac{-17.68}{-1.36}\)

\(x=13\)

Put x=13 in (i).

\(13+y=29\)

\(y=29-13\)

\(y=16\)

Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

A coincidental discrepancy between the observed and true values of anything is known as a random error (e.g., a researcher misreading a weighing scale records an incorrect measurement).

It's not always a mistake when there is random error; rather, it happens when measurements are made. Even when you measure the same item repeatedly, there will always be some variation in your results because to changes in the environment, the instrument, or your own perceptions.

Your measurements are equally likely to be greater or lower than the genuine values due to random error, which has unexpected effects.

According to the given data,

For a result to be considered significant, the chances of its occurring as a result of random error are often less than 5 percent.

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Answer:

m<JKN = 62°

Step-by-step explanation:

m<JKL+ m<LKM = m<JKM

m<LKM = 44°

m<JKM = 84°

m<JKL+ 44° = 84°

m<JKL = 40°

m<LKN = m<NKM

m<LKN + m<NKM = m<LKM

m<LKN + m<NKM = 44°

m<LKN + m<NKM = 44°

2m<LKN = 44°

m<LKN = 22°

m<JKN = m<JKL + m<LKN

m<JKN = 40° + 22°

m<JKN = 62°

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

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The Cartesian product that I read about is a mathematical concept that is used to combine two sets together in a specific way. The Cartesian coordinate system, on the other hand, is a way of representing points in a two-dimensional plane using a set of numerical coordinates.

The relationship between the two is that the Cartesian product is used to create the set of all possible coordinates that can be used in the Cartesian coordinate system. The Cartesian product of two sets, say set A and set B, is the set of all ordered pairs (a, b) where a belongs to set A and b belongs to set B.

When we graph a point in the Cartesian coordinate system, we are picking a specific point from the set of all possible points that can be created using the Cartesian product of the set of x-coordinates and the set of y-coordinates.

In other words, the Cartesian product is the foundation of the Cartesian coordinate system. It provides a set of all possible points that can be graphed using that system.

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Answer:

sorry, what??????????

Answer:

59

Step-by-step explanation:

Answer:

The mean of this data set is 10.6

Step-by-step explanation:

To find the Mean of a data set, you add up all the values and then divide by the number of values.

3 + 4 + 6 + 7 + 10 + 15 + 19 + 21 = 85

This data set has 8 values.

85 ÷ 8 = 10.6

The relation has a domain of { x | -4 ≤ x ≤ 4 }.

The domain is the set of all "x" values, whereas the range is the set of all "y" values in an ordered pair. Remember that the following symbols are used to denote ordered pairs: (x, y). reviewing a set of matched pairings in order.

The set of all possible inputs is the domain of a function. For instance, all real integers other than x=0 are in the domain of f(x)=x2 and g(x)=1/x, respectively.

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Answer: The expression 21/10 ÷ 2 4/5 represents the number of hours Jamar worked per shift in the community garden, given that he worked for a total of 21/10 hours over 2 4/5 shifts.

To simplify this expression, we need to convert the mixed number 2 4/5 to an improper fraction:

2 4/5 = (2 x 5 + 4)/5 = 14/5

Now we can rewrite the expression as:

21/10 ÷ 14/5

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

21/10 x 5/14 = 3/4

Therefore, Jamar worked an average of 3/4 hours per shift in the community garden.

Step-by-step explanation:

Answer: A6/ 2/3= 9

Step-by-step explanation:

We know that one tile is 2/3 ft long and we want to cover 6 ft (which is the given measure of the back of the shower).

To know the number of tiles needed, we will simply do cross multiplication as follows:

1 tile ...............> 2/3 ft

?? tiles ...........> 6 ft

Number of tiles = (6*1) / (2/3)

Number of tiles = 6 / (2/3)

Number of tiles = 9 tiles

Answer:

A). 6 ÷ 2/3 = 9

Step-by-step explanation:

The equation that represents your balance after x years is: \(250 * (1.0725)^x\)

what is interest ?

To calculate simple interest, multiply the principal by the rate of interest rates, the duration, and several other variables. The marketing formula is simple returns = capital + interests + hours.

Initial Value (a): $250

Rate (r): 7.25% per year (or 0.0725 as a decimal)

Time (x): x years

The formula for calculating the balance after x years is:

\(Balance = a * (1 + r)^x\)

Plugging in the values, we get:

\(Balance = 250 * (1 + 0.0725)^x\)

So the equation that represents your balance after x years is:

\(Balance = 250 * (1.0725)^x\)

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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