help plsss
rotate tuv 90 degrees clockwise around the origin

Answer:

Step-by-step explanation:

Similar triangles have the same shape but different sizes.

A is incorrect. We don't know the length of the sides, or if it is equilateral so we can't say that fg/lm=fh/ln

B is correct. FH and LN may be different sizes but they are similar

C is correct. Since the triangles are similar the angles are similar.

D is incorrect. The triangle is the same shape, not neccesarily the same size

E is correct. See C for explanation.

the probability of drawing one card from a standard deck of cards and choosing a "face card" is 3/13.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

There are 12 face cards in a standard deck of 52 cards (4 jacks, 4 queens, and 4 kings). So the probability of drawing a face card from a standard deck of cards is:

P(face card) = number of face cards / total number of cards

P(face card) = 12/52

Simplifying the fraction, we get:

P(face card) = 3/13

Therefore, the probability of drawing one card from a standard deck of cards and choosing a "face card" is 3/13.

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The 27 possible 3-digit numbers with repetition are: 222, 223, 224, 232, 233, 234, 242, 243, 244, 322, 323, 324, 332, 333, 334, 342, 343, 344, 422, 423, 424, 432, 433, 434, 442, 443, and 444.

The use of the same element repeatedly in a combination or permutation is referred to as repetition. You can use any of the numbers (1, 2, or 3) more than once to construct a 3-digit number, for instance, if you are asked to pick a 3-digit number using the digits 1, 2, and 3, with repetition permitted.

Without repetition, we can choose the first digit in 3 ways, the second digit in 2 ways (since we cannot repeat the first digit), and the third digit in 1 way (since we cannot repeat the first or second digit). This gives a total of 3 x 2 x 1 = 6 possible 3-digit numbers.

The 6 possible 3-digit numbers without repetition are: 234, 243, 324, 342, 423, and 432.

With repetition, we can choose each of the three digits in 3 ways (since we can repeat any of the three digits). This gives a total of 3 x 3 x 3 = 27 possible 3-digit numbers.

The 27 possible 3-digit numbers with repetition are: 222, 223, 224, 232, 233, 234, 242, 243, 244, 322, 323, 324, 332, 333, 334, 342, 343, 344, 422, 423, 424, 432, 433, 434, 442, 443, and 444.

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Answer:

1144 to base 9

Step-by-step explanation:

9 94 r 4

9 10 r 4

9 1 r 1

9 0 r 1

After this take an arrow from down to up

None of the statements A, B, C, or D can be true for function h. This is because the domain of h is from -3 to 11, which means that the function only exists for x values between -3 and 11.

The domain of a function is the set of all possible values of the independent variable or input for which the function is defined. It is the set of values over which the function is defined and takes real values. In simpler terms, it is the set of all possible x-values for which the function is defined.

In the given question,

None of the statements A, B, C, or D can be true for function h. This is because the domain of h is from -3 to 11, which means that the function only exists for x values between -3 and 11. Statement A refers to h(8) = 21, which is not consistent with the given value of h(8) = 19. Statement B refers to h(-3), which is not a valid value since the domain starts at -3. Statement C refers to h(13), which is also not a valid value since the domain ends at 11. Finally, statement D refers to h(2), which is not within the given domain.

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Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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In Linear equation, The volume of the solution is 100ml.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                       Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. axe+b = 0 is a one-variable example in which a and b are real numbers and x is the variable.

Let the volume of the solution be represented by x.

Therefore, we can form an equation based on the information given which will be

= 15% × x = 54

15/100 × x = 54.

0.15 × x = 54

0.15x = 54

x = 54/0.54

x = 100 ml

The volume of the solution is 100ml.

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The function is not one-to-one.

A one-to-one function, also known as an injective function, is a function where each element in the domain is uniquely mapped to a distinct element in the range. In other words, for every element in the domain, there exists only one corresponding element in the range, and no two elements in the domain can have the same image in the range.

To determine whether the given function is one-to-one, we need to check whether for any two distinct values of x, the function produces two distinct values of y.

We can rewrite the given function in the form:

y = 2(x + 1)² - 4

y = 2(x² + 2x + 1) - 4

y = 2x² + 4x - 2

To check whether the function is one-to-one, we can take two different values of x and check if the corresponding values of y are different.

Let's take x₁ = 1 and x₂ = 2.

When x = 1, y = 2(1 + 1)² - 4 = 8.

When x = 2, y = 2(2 + 1)² - 4 = 18.

Since y₁ = 8 and y₂= 18, and y₁ ≠ y₂, we can conclude that the function is not one-to-one.

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I think the answer is 5/6 ohohohohohohohohohohohoh

The line of reflection is across x and it's -4

A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

Since the two images are kept away with a distance 2, from -5 to -3, this means the line of reflection will be between -5 and -3. The distance between the object and image should be equal.

Therefore, the line of reflection will be across x axis and on -4.

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Answer: 19,000 cents

Step-by-step explanation: The total amount of cents in the box can be found by multiplying the number of 50 cent pieces by 50.

So,

total amount of cents = 380 x 50

= 19,000 cents

Therefore, there are 19,000 cents in the box.

The measure of the complementary angle of 72 degrees is 18 degrees

The sum of complementary angles is 90 degrees.

So, to find the measure of the complementary angle of an angle that measures 72 degrees, we subtract 72 from 90:

Complementary angle = 90 - 72 = 18 degrees

Therefore, the measure of the complementary angle is 18 degrees.

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Answer:

6,000

Step-by-step explanation:

then answer is 6,00 becasue if there are 3 times as much then just do 2000x3=6000

Answer:

[tex]4\pi[/tex]

Step-by-step explanation:

the side of the square equals the diameter of the circle inscribed.

So side of the square a is 4! (a^2=16, a=4)

So the radius of the circle is 2!

The area of the circle is 4π!!!!! (πa^2)

The loan was for 4 years.

What is intrest?

Interest is a fee paid by a borrower of money to the lender as compensation for the use of the money over a certain period of time. It is usually expressed as a percentage of the amount borrowed or invested, and the percentage is called the interest rate. The borrower is expected to pay back the principal amount borrowed plus the interest within a specified period of time.

The formula for simple interest is:

I = P * r * t

where I is the interest paid, P is the principal (the amount borrowed), r is the annual interest rate (as a decimal), and t is the time period in years.

We know that Ryan borrowed $200 and paid $48 in interest, and the interest rate is 6%. Plugging these values into the formula, we get:

48 = 200 * 0.06 * t

Solving for t, we get:

t = 48 / (200 * 0.06)

t = 4

Therefore, the loan was for 4 years.

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we are given that CB is congruent to CA and that BE and AD are perpendicular

HOW TO SOLVE TRIANGLE?

Statement Reason

BE and AD are perpendicular Perpendicular lines form angles

CB ≅ CA Given

∠BEC and ∠ADC are right angles Given

BC = AC Definition of congruent segments

∠BCE ≅ ∠ACD Corresponding parts of congruent triangles are congruent (CPCTC)

∠CEB ≅ ∠DCA Corresponding parts of congruent triangles are congruent (CPCTC)

∠A ≅ ∠B Vertical angles are congruent

ADC ≅ BEC ASA (angle-side-angle) postulate

In summary, we are given that CB is congruent to CA and that BE and AD are perpendicular. We also know that ∠BEC and ∠ADC are right angles. Using these facts, we can show that triangles ADC and BEC are congruent by showing that two pairs of corresponding angles and the included side are congruent. Specifically, we use the fact that ∠BCE ≅ ∠ACD and ∠CEB ≅ ∠DCA, along with the fact that BC = AC, to apply the CPCTC (corresponding parts of congruent triangles are congruent) to show that the two triangles are congruent by the ASA (angle-side-angle) postulate.

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The probability that an individual man's step length is less than 2.3 feet is approximately 0.1587 or 15.87% (rounded to 4 decimal places).

Explain probability

Probability is a branch of mathematics concerned with measuring the likelihood or chance of events occurring. It is expressed as a number between 0 and 1, where 0 means the event is impossible and 1 means it is certain. Probability theory is used in many fields, including statistics, economics, physics, and engineering, to analyze and make predictions based on uncertain events.

According to the given information

The standardized value, also known as the z-score, is given by:

z = (x - mu) / sigma

Substituting the given values, we get:

z = (2.3 - 2.7) / 0.4

z = -1

Now we need to find the probability that an individual man's step length is less than 2.3 feet, which is equivalent to finding the area under the standard normal distribution curve to the left of the z-score -1.

Using a standard normal distribution table or calculator, we can find that the area to the left of -1 is 0.1587.

Therefore, the probability that an individual man's step length is less than 2.3 feet is approximately 0.1587 or 15.87% (rounded to 4 decimal places).

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Answer:

[tex]\huge\boxed{\sf Perimeter = 18\ units}[/tex]

Step-by-step explanation:

Here, the shape is made up of grids measuring 1 unit.

Let's count grids on each side.

AB = 5 units

BC = 2 units

CD = 2 units

DE = 2 units

EF = 3 units

FA = 4 units

Now,

Perimeter = sum of all sides

Perimeter = 5 + 2 + 2 + 2 + 3 + 4

[tex]\rule[225]{225}{2}[/tex]

The table shows a function that is decreasing over the interval (−2, 0) is option C: A 2-column table with 4 rows.  The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

The function is decreasing over the interval (-2, 0) because as the input x increases from -2 to 0, the output f(x) decreases. We can see this by looking at the values in the second column of the table:

When x = -2, f(x) = 0

When x = -1, f(x) = -10

When x = 0, f(x) = -24

Therefore, As x increases from -2 to 0, f(x) decreases from 0 to -24, which means the function is decreasing over the interval (-2, 0).

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The solution of circle problem to find area of the walkway be in square feet is  88π square feet.

A circle is a two-dimensional geometric shape that consists of all points in a plane that are equidistant from a single fixed point called the center.

To find the area of the walkway, we need to subtract the area of the original circular garden from the area of the larger circle that includes the walkway. The radius of the larger circle will be 9 + 4 = 13 feet.

The area of the walkway will be:

Area of larger circle - Area of original circle

= π([tex]13^2[/tex]) - π([tex]9^2[/tex])

= π(169 - 81)

= π(88)

So the area of the walkway will be 88π square feet.

Therefore, the answer is D. 88π.

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Answer:

Step-by-step explanation:

I think that the answer is ................................................................................................................................................Your adopted

To make a table of values for g(x) = 3x², we can choose several values of x and plug them into the equation to get the corresponding values of g(x).

The table for g(x) is formulated as follows;

Let's choose some values of x:

To find the corresponding value of g(x), we simply plug each value of x into the equation and simplify:

For x = -2, g(x) = 3(-2)² = 3(4) = 12

For x = -1, g(x) = 3(-1)² = 3(1) = 3

For x = 0, g(x) = 3(0)² = 3(0) = 0

For x = 1, g(x) = 3(1)² = 3(1) = 3

For x = 2, g(x) = 3(2)² = 3(4) = 12

The table formed is in the image attached.

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the two correct representations of the inequality are: x < 5

How to solve the inequalities?

To solve the inequality –3(2x – 5) < 5(2 – x), we need to simplify it first:

–6x + 15 < 10 – 5x

Now, we can move all the x terms to one side and the constant terms to the other side:

–6x + 5x < 10 – 15

–x < –5

Finally, we need to remember that whenever we multiply or divide an inequality by a negative number, we need to reverse the inequality sign. In this case, we multiplied both sides by –1, so we need to flip the sign:

x > 5

Therefore, the two correct representations of the inequality are:

x < 5 (not x > 5 as mentioned above)

–6x + 15 < 10 – 5x

Option 2, –6x – 5 < 10 – x, is not correct because it doesn't represent the inequality we simplified. The correct representation of the inequality on a number line would be an open circle at x=5 with a bold line pointing to the right, indicating that all the values to the right of 5 satisfy the inequality. The number line from –3 to 3 in increments of 1 with an open circle at negative 5 and a bold line pointing to the left does not represent the inequality we just solved.

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Answer:

[tex]54\pi \: {cm}^{2} [/tex]

Step-by-step explanation:

Given:

A cone

r (radius) = 3 cm

l = 15 cm

Find: A (surface area) - ?

[tex]a(surface) = \pi {r}^{2} + \pi \times r \times l[/tex]

[tex]a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 15 = 9\pi + 45\pi = 54\pi \: {cm}^{2} [/tex]

Answer:

B and C.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the given information. Let x be the amount of pretzels (in grams) and y be the amount of peanuts (in grams) that Howard needs to buy.

Then we have:x + y = 25 (since Howard needs 25 grams of trail mix in total)

1x + 3.5y = 45 (since the pretzels cost $1 per gram and the peanuts cost $3.50 per gram, and Howard has $45 to spend)

Therefore, the correct answer choices are:X+y=25 and X+3.5y=45, or B and C.

a.   the equation of the least-squares line is: y = -0.003x + 3884.658

b.  the estimated sales for a pizza chain having 4000 stores is  3754.658 million dollars.

c. the estimated number of stores for a pizza chain whose 2013 sales were 2000 million dollars is  295219.333.

We will use linear regression to obtain the least-squares line that fits the given data.

Let x be the number of stores and y be the sales in millions of dollars.

mean of x = (6326 + 4986 + 3890 + 3207)/4 = 4602.25

mean of y = (5700 + 3800 + 3025 + 2485)/4 = 3752.5

Σ((x - mean of x)(y - mean of y)) = (6326 - 4602.25)(5700 - 3752.5) + (4986 - 4602.25)(3800 - 3752.5) + (3890 - 4602.25)(3025 - 3752.5) + (3207 - 4602.25)(2485 - 3752.5) = -79470.75

calculating  the sum of the squared deviations of x from its mean:

Σ((x - mean of x)^2) = (6326 - 4602.25)^2 + (4986 - 4602.25)^2 + (3890 - 4602.25)^2 + (3207 - 4602.25)^2 = 25994899.5

finding the slope of the least-squares line:

slope = Σ((x - mean of x)(y - mean of y)) / Σ((x - mean of x)^2) = -79470.75 / 25994899.5 ≈ -0.003056

y-intercept = mean of y - slope * mean of x ≈ 3884.658

equation of the least-squares line is: y = -0.003x + 3884.658

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He can wear them in 5! orders in over 5 days. The solution has been obtained by using permutations.

What is permutation?

A permutation is a combination of objects arranged in a particular sequence. The elements of sets are arranged in a linear or sequential manner in this instance.

We are given that John has pairs of red, orange, yellow, blue, and green socks. Repetition is not allowed because John puts his socks in the wash at the end of the day.

From this we get,

On first day he has five choices but the nest day he is left with only 4 choices, then 3 choices and so on.

So,

5 * 4 * 3 * 2 * 1 = 5!

Hence, he can wear them in 5! orders in over 5 days.

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After the seventh time the vacuum is run over the carpet, approximately 94.757% of the original amount of dirt will be picked up.

A number can be expressed as a fraction of 100 using a percentage. When comparing amounts or expressing proportions, it is frequently represented using the symbol %. In numerous disciplines, including business, statistics, science, and daily life, percentages are frequently utilised. We frequently use percentages to indicate things like tax, discount, and interest rates as well as population growth rates. We divide a number by the total and multiply the result by 100 to get the percentage. For instance, we can claim that 40% of a class's students are female if there are 100 total students.

Given that, the vacuum picks up 80% of the dirt every time.

Thus, when the vaccum is run for the first time the dirt remaining is 20%.

Now, after second run we have:

20(80%) = 16%

Now, we see that a1 = 0.2 and the rate r = 0.8.

Thus, for seventh run we have:

[tex]a_7 = a_1 (r)^{7 -1}\\a_7 = 0.2 (0.8)^6\\a_7 = 0.0524[/tex]

Now, after seventh run we have:

100 - 5.24% = 94.757%

Therefore, after the seventh time the vacuum is run over the carpet, approximately 94.757% of the original amount of dirt will be picked up.

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Answer:

Step-by-step explanation:

Account 1 name - CIBC Smart Account

Account 2 name - CIBC Everyday Chequing Account

Account 3 name - CIBC US$ Personal Account

Monthly Fee ($)

Account 1- $4.95 to $14.95 per month, depending on the account balance and number of transactions

Account 2- $3.90 to $14.95 per month, depending on the account balance and number of transactions

Account 3- $0 for a minimum balance of US$3,000, otherwise $4.95 per month