hello please help me i’m stuck on this one

its true

they are both already right triangles so if both have acute angles that are congruent then the right triangles are similar

if one of the acute angles of a right triangle is congruent to an acute angle of another right triangle then by angle angle Similarity the triangles are similar

Answer:

B

Step-by-step explanation:

I took the quiz on EDGE 2022

The probability that the second card is a jack given that the first card was a 2 is 52/51.

To calculate the probability that the second card is a jack given that the first card was a 2, we need to consider the remaining cards in the deck after the first card is drawn.

When the first card is drawn and it is a 2, there are 51 cards remaining in the deck, out of which there are 4 jacks.

The probability of drawing a jack as the second card, given that the first card was a 2, can be calculated using conditional probability:

P(Second card is a jack | First card is a 2) = P(Second card is a jack and First card is a 2) / P(First card is a 2)

Since the first card is already known to be a 2, the probability of the second card being a jack and the first card being a 2 is simply the probability of drawing a jack from the remaining 51 cards, which is 4/51.

The probability of the first card being a 2 is simply the probability of drawing a 2 from the initial deck, which is 4/52.

P(Second card is a jack | First card is a 2) = (4/51) / (4/52)

Simplifying the expression:

P(Second card is a jack | First card is a 2) = (4/51) * (52/4)

P(Second card is a jack | First card is a 2) = 52/51

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Answer:

x² + 4x + 3

Step-by-step explanation:

(x + 1)(x + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 3) + 1 (x + 3) ← distribute parenthesis

= x² + 3x + x + 3 ← collect like terms

= x² + 4x + 3

Answer:

it's the answer ...

hope your day will be happy

and the last add 3x+x = 4x

Answer: x₁=7, x₂=-1

Step-by-step explanation:

(x-3)^2= x^2-6x+9

2(x^2-6x+9)=28+4

x^2-6x+9=16

x^2-6x-7=0

you use the quadratic equation will give you 2 roots,

x₁=7, x₂=-1

Answer:

the second one

Step-by-step explanation:

Answer:

The remainder when 5x3 + 2x2 - 7 is divided by x + 9 is -692.

Explanation:

We can use long division to divide 5x^3 + 2x^2 - 7 by x + 9:

-5x^2 + 43x - 385

x + 9 | 5x^3 + 2x^2 + 0x - 7

5x^3 + 45x^2

--------------

-43x^2 + 0x

-43x^2 - 387x

--------------

387x - 7

Therefore, the remainder when 5x^3 + 2x^2 - 7 is divided by x + 9 is 387x - 7.

Hope this helps, sorry if this is wrong! :]

Answer:

15 out of 100

Step-by-step explanation:

15 %= 15/100  it means 15 out of 100

The standard deviation of a larger sample will be closer to the standard deviation of the population than the standard deviation of a smaller sample, making it a better estimate of the population standard deviation.

In order to measure the variability or spread of a population, a population standard deviation is utilized. This is frequently unknown and estimated using the standard deviation of a random sample taken from the population. The sample standard deviation is the measure of variability for a set of data values obtained from a sample.The sample standard deviation is preferable to the population standard deviation for samples, particularly large samples. The sample standard deviation, abbreviated as "s", is used to estimate the population standard deviation, represented by the Greek letter sigma, which is unknown in this situation. The sample standard deviation is more likely to accurately reflect the true population standard deviation when it is calculated from a large sample size.Samples from populations that have a normal distribution provide the most precise estimate of the population standard deviation. If the population distribution is not normal, the sample size should be at least 30. However, for smaller samples, it is impossible to estimate the population standard deviation using the sample standard deviation. This is particularly true when the population has an atypical or unusual distribution.

In conclusion, the sample standard deviation (s) is a better estimate of the population standard deviation for large samples.

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Answer:

is the t for ten or were you trying to type 5

Finding the six trigonometric functions of θ: Since (-3,3) is a point on the terminal side of θ, we can use the coordinates of this point to determine the values of the trigonometric functions.

Let's label the legs of the right triangle formed as opposite = 3 and adjacent = -3, and use the Pythagorean theorem to find the hypotenuse.

Using Pythagorean theorem: hypotenuse² = opposite² + adjacent²

hypotenuse² = 3² + (-3)²

hypotenuse² = 9 + 9

hypotenuse² = 18

hypotenuse = √18 = 3√2

Now we can calculate the trigonometric functions:

sin θ = opposite/hypotenuse = 3/3√2 = √2/2

cos θ = adjacent/hypotenuse = -3/3√2 = -√2/2

tan θ = opposite/adjacent = 3/-3 = -1

csc θ = 1/sin θ = 2/√2 = √2

sec θ = 1/cos θ = -2/√2 = -√2

cot θ = 1/tan θ = -1/1 = -1

Therefore, the exact values of the six trigonometric functions of θ are:

sin θ = √2/2, cos θ = -√2/2, tan θ = -1, csc θ = √2, sec θ = -√2, cot θ = -1.

Part 2: Finding the remaining trigonometric functions given tan θ and sin θ:

Given that tan θ = and sin θ < 0, we can deduce that θ lies in the third quadrant of the unit circle where both the tangent and sine are negative. In this quadrant, the cosine is positive, while the cosecant, secant, and cotangent can be determined by taking the reciprocals of the corresponding functions in the first quadrant.

Since tan θ = opposite/adjacent = sin θ/cos θ, we have:

sin θ = -1 and cos θ =

Using the Pythagorean identity sin² θ + cos² θ = 1, we can find cos θ:

(-1)² + cos² θ = 1

1 + cos² θ = 1

cos² θ = 0

cos θ = 0

Now we can calculate the remaining trigonometric functions:

csc θ = 1/sin θ = 1/-1 = -1

sec θ = 1/cos θ = 1/0 = undefined

cot θ = 1/tan θ = 1/-1 = -1

Therefore, the exact values of the remaining five trigonometric functions of θ are:

sin θ = -1, cos θ = 0, tan θ = -1, csc θ = -1, sec θ = undefined, cot θ = -1.

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Answer:

41, 43, and 47

Step-by-step explanation:

The numbers between 40 and 50 are:

41, 42, 43, 44, 45, 46, 47, 48, and 49

Prime numbers are numbers that have only 2 factors, 1 and themselves.

So from the numbers above we are now able to find the prime numbers.

1 * 41 = 41

1 * 43 = 43

1* 47 = 47

41, 43, and 47 have only 2 factors, 1 and themselves.

Hope this helps!!

The answer is c. Chi-square test. A Chi-square test is an inferential statistical technique used to analyze the relationship between two categorical variables organized in a bivariate table.

In a chi-square test, the data is organized into a contingency table, also known as a cross tabulation or bivariate tabulation. This table displays the frequency distribution of two categorical variables, showing how they are related or associated with each other.

The chi-square test evaluates whether there is a significant relationship or association between the variables. It calculates a test statistic based on the observed frequencies in the contingency table and compares it to the expected frequencies under the assumption of independence between the variables. If the test statistic is sufficiently large, it indicates that there is a significant relationship between the variables, rejecting the null hypothesis of independence.

The chi-square test is widely used in various fields, including social sciences, market research, and epidemiology, to determine if there is a significant association between categorical variables. It provides valuable insights into the relationship between variables and helps researchers make informed conclusions based on their data.

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Answer:

I can't get past hre, equations are attached tho

Step-by-step explanation:

Equations:

\(b + s + p = 35.75\)

\(\frac{1}{4} b = s\)

\(\frac{2}{3} s = p\)

Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:

brush =$20.21,. sketchbook =$6.21 , paint set=$9.32

Step-by-step explanation:

let the cost of the brush=x

the cost of the sketchbook=y

the cost of the paint set= z

total money used= $39.75-$4.00

=$35.75

x= 14+y

but y=2/3z

x= 14+2/3z

14+2/3z +2/3z +z =35.75

3×14 +3×2/3z+3×2/3z×3z=3×35.75

42 +2z +2z +3z =107.25

7z=107.25-42

7z=65.25

z=65.25/7

z=$9.32

y=$2/3×9.32

y=$6.21

x=14+y

x=14+6.21

x=$20.21

Answer:

\(\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}\)

Step-by-step explanation:

\(f(g(x)) = | 2(x + 1)^2 + (x + 1) |\)

The first option :

\(f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |\)

\(f(g(x))=(|2x+1|+1)^2\)

The second option :

\(f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |\)

\(f(g(x))=(|2x^2 +x|+1)\)

The third option :

\(f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2\)

\(f(g(x))=|2(x+1)^2 +1 |\)

The fourth option :

\(f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)\)

\(f(g(x))= | 2(x + 1)^2 + (x + 1) |\)

Answer:

D

Step-by-step explanation:

Answer:

Janice will need 2 cups of oil.

Step-by-step explanation:

You know that Janice needs to prepare 2\(\frac{2}{3}\) servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.

In this case:

\(2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}\)

Knowing that the recipe calls for \(\frac{3}{4}\) cups of oil per serving and Janice needs to prepare \(\frac{8}{3}\) servings, you can apply the following rule of three: if \(\frac{3}{4}\) cups of oil are required for 1 serving, \(\frac{8}{3}\) servings how many cups of oil require?

\(cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}\)

Solving:

cups of oil= 2

Janice will need 2 cups of oil.

Answer:

9

Step-by-step explanation:

999

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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The correct answer is:

c. The z-value for a standard normal distribution can be either positive or negative.

The z-value, also known as the standard score, measures the distance between a data point and the mean of its distribution in units of standard deviation. It is calculated by subtracting the population mean from the data point and then dividing the result by the standard deviation.

Since the mean of a standard normal distribution is zero, the z-value simply represents the number of standard deviations a data point is from the mean. As a result, the z-value can be either positive or negative, depending on whether the data point is above or below the mean, respectively.

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Answer:

D) 394.68cm^2

Step-by-step explanation:

Area of a parallelogram is calculated by multiplying height to the base

13.8 × 28.6 = 394.68

Answer:

area of parallelogram= length of base × perpendicular height

28.6×13.8

= 394.68m²

Answer:14 x 2−112. Enter an equation or problem ... Step 2 : Step 3 :Pulling out like terms. 3.1 Pull out like factors : 14x2 - 112 = 14 • (x2 - 8) ...

Step-by-step explanation:

The solution of the inequality is x < 2.

The graph is given in the attached image.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given an inequality:

x/4 -2 < -1\(\frac{1}{2}\)

Simplifying,

x/4 - 2 < -3/2

x/4 < -3/2 + 2

x/4 < 1/2

x < 2

And the graph is given in the attached image.

Therefore, the solution is x < 2.

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Answer:

1.35 m

Step-by-step explanation:

Subtract the lengths of the 1st and 2nd pieces from the uncut piece:

9 - 4.56 - 3.09 = 1.35 m

Suppose Dee invests "x" dollars in 9.5% interest paying account and "y" dollars in 4% interest paying account.

Total Invested = $ 10,125

Thus, we can write:

Simple Interest earned is given by the formula

Where

i is the interest earned,

P is the amount invested in the account,

r is the rate of interest in decimal

t is the time in years

• For 9.5% account, we can say that the interest earned is:

• For 4% account, we can say that the interest earned is:

The total interest earned is 1580, thus we can form the second equation:

Solving the first equation for x gives us:

Now, we substitute this into the second equation and solve for y first:

Using this value of y, we can easily figure out the value of x.

So,

Dee invested $7000 in 9.5% account and $3125 in 4% account.

A real-world example of how piecewise functions can be used is in:

Modeling electricity pricing, where different rates are said to be used for different usage tiers.

Calculating income tax based on different types of income brackets.

Here, we have,

Piecewise functions are tools that are often used for representing ways where the connection between variables alters under varying intervals or conditions.

To demonstrate the application of piecewise functions, consider the following example such as  calculating taxes on income. where a different nations implement an income tax system that make use of a segmented function to determine tax rates based on various income brackets.

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complete question;

What’s a real world example of how piece wise functions can be used?

Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

To calculate the net gain or loss, we need to consider both the realized and unrealized components. Therefore, the net gain/loss is -$20,000. This indicates a net loss of $20,000.

The net gain or loss is calculated by adding the realized gains or losses and the unrealized gains or losses:

Net Gain/Loss = (Realized Gain/Loss) + (Unrealized Gain/Loss)

Given the information provided:

Realized Loss = $40,000

Realized Loss = $10,000

Unrealized Gain = $30,000

Net Gain/Loss = (-$40,000) + (-$10,000) + $30,000

Net Gain/Loss = -$50,000 + $30,000

Net Gain/Loss = -$20,000

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Answer:

----------------------------

The significant digits include all non-zero numbers (8 and 9) and the zeros between them (the five zeros).

Hence it has 8 significant digits.

There are nine significant digits in 80,000,089.

In the number 80,000,089, there are nine significant digits. Significant digits are the digits in a number that carry meaning or contribute to its precision. They do not include leading or trailing zeros that serve as placeholders.

In this case, the significant digits are "8," "0," "0," "0," "0," "0," "8," and "9." Each of these digits contributes to the value and precision of the number. The leading "8" is significant as it represents the tens of millions place, while the trailing "9" represents the units place.

Zeros that appear between nonzero digits, as in "80,000,089," are considered significant because they indicate the magnitude of the number.

However, zeros that appear before the first nonzero digit, such as in "000,000,089," are not considered significant since they only serve as placeholders and do not affect the value or precision of the number.

Therefore, in the number 80,000,089, there are nine significant digits.

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Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

by using Pythagoras law

h²=p²+b²

80²=QR²+60²

QR²=80²-60²

QR=\(\sqrt{2800}\)

QR=20\(\sqrt{7}\)=52.9=53cm

QR=53cm.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence.

A sequence in mathematics is an ordered collection of numbers that is typically defined by a formula or rule. Every number in the series is referred to as a term, and its location within the sequence is referred to as its index. Depending on whether the list of terms stops or continues indefinitely, sequences can either be finite or infinite. By their patterns or uniformity, sequences can be categorised, and the study of sequences is crucial to many areas of mathematics, such as calculus, number theory, and combinatorics. Mathematical, geometrical, and Fibonacci sequences are a few examples of popular sequence types.

given

The sequence's terms are all different by 7 (i.e., 12 - 5 = 19 - 12 = 26 - 19 =... = 7).

The following is a definition of a recursive formula for the nth element of the sequence:

a 1 = 5 (the first term of the series is 5) (the first term of the sequence is 5)

For n > 1, each term is derived by adding 7 to the preceding term, so a n = a n-1 + 7.

Thus, beginning with a 1 = 5, the formula a n = a n-1 + 7 can be used to recursively find the nth term of the sequence. For instance, we have

a_2 = a_1 + 7 = 5 + 7 = 12

a_3 = a_2 + 7 = 12 + 7 = 19

a_4 = a_3 + 7 = 19 + 7 = 26

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