What is the correct letter name for <1 below?

Answer:

-3,4,-4

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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Answer:

55 degrees

Step-by-step explanation:

sum of all angles of a triangle equal 180

to find x we add them all and set them equal to 180

(57+x)+(72+x)+55=180

129+2x+55=180

184+2x=180

-184.    -184

2x= -4

/2.  /2

x=-2

now to find angle A

57+(-2)

55

hopes this helps

Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

The number of miles can she run, going at the same rate will be 4 miles. Then the correct option is C.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Ingrid usually runs 12 miles in 2 hours.

2 hours = 120 minutes

Then the speed will be

Speed = 12 / 120

Speed = 0.1 miles per minutes

If she only has 40 minutes to run today.

Then the number of miles can she run, going at the same rate will be

Distance = 0.1 x 40

Distance = 4 miles

Then the correct option is C.

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There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.

To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.

Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).

the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:

8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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The author would have sold  365396 books over the first 20 months.

The author sold 22000 books in the first month, and the sales declined by 7% each month.

This means that the number of books sold in each subsequent month is 93% of the number sold in the previous month (since 100% - 7% = 93%). Therefore, the number of books sold in the second month is:

0.93×22000

= 20460

The number of books sold in the third month is:

0.93 × 20460 = 19007

To find the total number of books sold over the first 20 months, we can use the formula for the sum of a geometric series:

S = a(1 - rⁿ) / (1 - r)

Substituting the values, we get:

S = 22000(1 - 0.93²⁰) / (1 - 0.93)

S = 22000(0.766)/0.07

S=240743

Therefore, the author would have sold 365396 books over the first 20 months.

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Answer:

the charges from Netflix are less than Plex cause there's a 50 dollar gap for the member ship and for the DVD there's only a 3 dollar gap

Step-by-step explanation:

The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

Given:

radius of the pool increases at a rate of 24 cm/min

To Find:

How quickly does the pool's area grow when the radius is 5 cm?

Solution:

we are given with the circular pool

hence the area of the circular pool =

A = πr²-----------------------------(1)

The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t

so differentiating eq (1)  with respect to t , we have

dA/dt =π 2r dr/dt

we have to find  dA/dt    with  dr/dt  = 24 cm/min and  r =  5cm

substituting the values

dA/dt = π 2(5)24

dA/dt =  π 26*8

dA/dt =  π 240

dA/dt =240π

dA/dt = 753.98

The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm

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The difference of the squares of two positive consecutive even integers is 52.We have to find the integers.

Using the given fact, x represents the first even integer. Then the next consecutive even integer will be x+2.The difference of the squares of two positive consecutive even integers is 52.

x² - (x+2)²

= 52 x² - (x² + 4x + 4)

= 52 x² - x² - 4x - 4

= 52 -4x - 4 = 52 x

= (52+4)/(-4) x

= -13/2x cannot be negative as it is the first even integer.

The question is incorrect and hence there is no solution for this particular problem.

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Subspaces: The set of all vectors in of the form where are real numbers, and the set of all vectors in whose endpoint lies on the line.

One of the properties that is not a property of being a subspace is:

- The set is in whenever and are vectors in .

Explanation: The statement "is in whenever and are vectors in " is not a property of being a subspace. In a subspace, closure under vector addition and scalar multiplication are required, which means that for any vectors and scalars in the subspace, the sum of those vectors and the scalar multiple of a vector should also be in the subspace. However, the given statement does not specify closure under vector addition or scalar multiplication, so it does not satisfy the requirements of a subspace.

To determine which subsets are subspaces, let's analyze each option:

  - This set is a subspace because it satisfies all the properties of a subspace: closure under vector addition, closure under scalar multiplication, and containing the zero vector.

  - This set is not a subspace because it fails the closure under scalar multiplication property. If a polynomial with a non-zero term is multiplied by zero, the result is the zero polynomial, which does not have a non-zero term.

  - This set is not a subspace because it fails the closure under scalar multiplication property. If we multiply a matrix in this set by a scalar, the resulting matrix may have entries outside the given range of values.

  - This set is a subspace because it satisfies all the properties of a subspace: closure under vector addition, closure under scalar multiplication, and containing the zero vector.

Therefore, the subsets that are subspaces are options 1 and 4.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Possible combinations that can be formed a committee of 5 male and 2 female with at least 3 men that must be at the committee from 13 members is 28000.

What is combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

C (n, r) = n! (r! n-r!)

According to the given question:

8 males, 3 at a time = Comb (8,3) = 56

5 females, 2 at a time = Comb (5,2) = 10

So, the base combination of 5 males & 2 females from 8 possible males and 5 possible females = 56 x 10 = 560.

However, the total combinations are further expanded by the condition that 3, 4 or 5 of the 5 male members must be present

This expansion factor is the Comb (5,3) x Comb (5,4).

So, Comb (5,3) x Comb (5,4) = 10 x 5 = 50

Therefore, the combined total are 560 x 50 = 28,000 possible combinations of 5 of 8 possible males & 3 females of 5 possible females with 3, 4 or 5 of the males being present.

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Answer:

A. 25h+30=80

B.25(2)+30=80

Miguel will need a total of 5 intervals altogether.

Miguel plans to create a frequency table by grouping the years into intervals of 5, starting from 0 to 4, 5 to 9, 10 to 14, and so on. To determine the number of intervals required, we need to consider the range of years being grouped.

Since the intervals are created in increments of 5, each interval will cover a span of 5 years. To find the total number of intervals, we divide the total range of years by the interval size. In this case, the total range of years is not provided, but we can infer from the given information that Miguel is grouping the years until 2001.

As there are five years in each interval, and the grouping goes up until 2001, Miguel will need a total of 5 intervals altogether.

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Answer:

The interval [25, 35] has the slowest average rate of decay.

Step-by-step explanation:

The number of grams in a sample of radium is represented by the function \(r(t) = 50\cdot e^{-0.013\cdot t}\), which is a monotonous decreasing function. Hence, the greater the values of \(t\), the slowest the average rate of decay, represented by a secant line. The interval [25, 35] has the slowest average rate of decay.

For the given situation solution set is shaded region denoted by inequalities x ≤ 6 and y ≤ 2x.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

Since the juice from 1 lemon produces no more than 2 cups of lemonade, the total number of cups of lemonade produced y is less than or equal to 2x.

The friends have a total of 6 lemons, so x must be less than or equal to 6.

We also know that x and y must both be non-negative, since the friends cannot use a negative number of lemons or produce a negative number of cups of lemonade.

Therefore, the solution set for this scenario is a region in the first quadrant of the coordinate plane that is bounded by the x-axis, the y-axis, the line x ≤ 6, and the line y  2x.

The inequalities are x ≤ 6 and y ≤ 2x.

Of the four graphs given, only the second graph shows a shaded region that is bounded by the x-axis, the y-axis, the line x = 6, and the line y = 2x.

Therefore, the shaded region in the second graph represents the solution set for the scenario.

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Answer:

r = -7

Step-by-step explanation:

r-4+6r = 3+8r

Combine like terms.

7r-4 = 3+8r

Separate the terms with the like terms together.

-4-3 = 8r-7r

Simplify.

r = -7

Answer:

Step-by-step explanation:

-7x > 21.

-x>3

x<-3

The answer is:

Work/explanation:

To solve the inequality, we should divide each side by -7.

Pay attention though, we're dividing each side by a negative, so the inequality sign will be reversed.

So if we have greater than, then once we reverse the sign, we will have less than.

This is how it's done :

\(\sf{-7x > 21}\)

Divide :

\(\sf{x < -3}\)

Answer:

NO

Step-by-step explanation:

square root of 121ft = 11 ft

There are 4 integers between 20 and 30 that have a prime factorization with exactly 3 factors that are not necessarily unique.

To find the integers with a prime factorization having exactly 3 factors, we need to look for numbers that can be expressed as the product of two distinct prime numbers.

Step 1: Identify the prime numbers between 20 and 30. The prime numbers in this range are 23, 29.
Step 2: Determine all possible pairs of distinct prime numbers. In this case, we have only one pair: (23, 29).
Step 3: Calculate the products of these pairs. The products of (23, 29) are 667 and 667.
Step 4: Count the integers between 20 and 30 that match these products. We have two integers that match, which are 21 and 27.
Step 5: Check if these integers have exactly 3 factors. The factors of 21 are 1, 3, 7, and 21 (a total of 4 factors), so it does not meet the criteria. The factors of 27 are 1, 3, 9, and 27 (a total of 4 factors), so it also does not meet the criteria.

Therefore, there are no integers between 20 and 30 with a prime factorization having exactly 3 factors that are not necessarily unique.

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If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that

\(|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}\)

Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.

---------

So we have,

|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2

As long as a < 7, the result of |a-7| - |a-9| will always be -2.

---------

As an example, let's say a = 0

|a-7| - |a-9| = |0-7| - |0-9|

|a-7| - |a-9| = |-7| - |-9|

|a-7| - |a-9| = 7 - 9

|a-7| - |a-9| = -2

I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.

Answer:

$1.96

Step-by-step explanation:

Let's set up a proportion:

1 lb : $4.25 = 0.46 lb : $x

Here, x is the cost of 0.46 pounds. The ratio above can also be written in fraction form as:

\(\frac{1}{4.25} =\frac{0.46}{x}\)

Now, we cross-multiply:

1 * x = 4.25 * 0.46

x = 1.955 ≈ $1.96

Answer:

Lily would present after Edward

Step-by-step explanation:

Catherine must present after Ted. Therefore we have Ted, Catherine.

There must be one presenter between Bianca and Catherine, therefore we have: Bianca, x, Catherine. x is the name of the presenter between  Bianca and Catherine. Since Ted presents immediately before Catherine, x = Ted. This means we have Bianca, Ted, Catherine.

There must be at least two other people must present after Edward and before Ted. This means we have Edward, y, Bianca, Ted, Catherine. y is the name of the presenter between Edward and Bianca.. Since we have only five presenters, the only presenter remaining is Lily.

Therefore the presenters are arranged as:

Edward, Lily, Bianca, Ted, Catherine.

Lily is the second to present. Lily would present immediately after Edward and before Bianca

Answer:

The tank capacity is 24 gallons

Step-by-step explanation:

Let the tank capacity be c.

Then (1/6)c + 2 = (1/4)c, or (since the LCD is 12):

2c/12 + 24/12 =  3c/12, or

24/12 = c/12

Multiplying both sides by 12, we get:

24 = c

The tank capacity is 24 gallons.

Answer:

The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval!

We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.

The correct option is B: -4

We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:

\(\frac{f(b) - f(a)}{b - a}\)

Here we have the interval  1 ≤ x ≤ 3, and by looking at the graph we can see that:

f(3) = 1

f(1) = 9

Then the average rate of change is:

\(\frac{1 - 9}{3 - 1} = -4\)

So the correct option is B.

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