Consider the diagram below. Choose the statement that correctly describes the pair <1 and <2

After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.

To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.

Therefore, |2 + 3| simplifies to 5.

The answer is A B and E

Answer is all of these, A, B, and E.

Answer:

Step-by-step explanation:

2 I think?

40% of girls liked winter.

A two-way relative frequency table was then constructed, turning the frequencies into fractions and subsequent decimals. Lastly, it was determined that 40% of girls liked winter.

To create a two-way table from the given data, we can categorize the students by gender and preferred season. Here’s how the table would look based on the information provided:

 
   Summer
   Winter  
   Boys
   4
   4
   Girls
   3
   2

From this table, we can see that there are 5 girls and 4 boys who liked summer. To create a two-way relative frequency table, divide each entry by the total number of students, which is 12:

   Summer
   Winter

   Boys
   4/12 (0.33)
   4/12 (0.33)
 
 
   Girls
   3/12 (0.25)
   2/12 (0.17)

To find the percentage of girls who liked winter, we divide the number of girls who liked winter by the total number of girls and multiply by 100:

[tex](\frac{2}{5}) \times 100 = 40\%[/tex]

Answer:

The area of the circle is [tex]9\pi \ units^{2}[/tex]

Step-by-step explanation:

we know that

A circle has a sector with area [tex]3\pi/2[/tex]  and central angle of 60 degrees

The area of a complete circle subtends a central angle of [tex]360\°[/tex]

so

using proportion

Find the area of the circle

[tex]\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}[/tex]

Answer:

[tex]A = 9\pi[/tex]

Step-by-step explanation:

The total area of the circle is determine by simple rule of three:

[tex]A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)[/tex]

[tex]A = 9\pi[/tex]

-2^3 will be -8 (we know it certainly)

(-8)^-2 =( 1/(-8) )^2 then we know , when we have power 2 for parentheses,can ignore the negativity : 1/64 and we know 0<1/64<1

So 1 is correct!!

Answer:it is between 0 and 1

Step-by-step explanation:

Answer:

x² + (y - 4)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (0, 4) and r = 5, hence

x² + (y - 4)² = 25 ← in standard form

Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

[tex]g(x)=x^2-576[/tex]

When we equate the function to zero, we obtai;

[tex]x^2-576=0[/tex]

Use difference of two squares:

[tex]x^2-24^2=0[/tex]

[tex](x-24)(x+24)=0[/tex]

Use the zero product property to obtain;

[tex]x-24=0,\:and\:x+24=0[/tex]

This implies that;

[tex]x=24,\:and\:x=-24[/tex]

The correct choice is C

Answer:

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

Answer:  A) 2.26

Step-by-step explanation:

[tex]log_3(12) = \dfrac{log(12)}{log(3)}=\dfrac{1.079}{0.477}=\large\boxed{2.26}[/tex]

Answer:

"The area covered by mold increases by 4 % every 15 minutes."

Step-by-step explanation:

Since the mold is "spreading", the area is obviously, increasing.

By how much???

We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.

Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.

An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.

To complete the statement:

The area covered by mold increases by 4 % every 15 minutes.

Answer:

i believe its every hour not 15 minutes

Step-by-step explanation:

Sum of 8 and 12 = 8+12=20

20/4 = 5

boom, 5 is the answer

Here is the answer I hope it helps

Diameter d=16cm

d=r/2=8cm

Volume V(sphere)=4/3*pi*r^3

Therefore volume V=2145.52 cm^3

Hope this helps!

Answer:

The volume of ball = 2143.57 cm³

Step-by-step explanation:

Formula:-

Volume of sphere = (4/3)πr³

Where 'r' is the radius of sphere

To find the volume of ball

Here diameter of ball = 16 cm

Radius r = Diameter/2 = 16/2 = 8 cm

Volume =  (4/3)πr³

  =  (4/3) * 3.14 * 8³

  = 2143.57 cm³

Therefore volume of given ball is 2143.57 cm³

Answer:

Step-by-step explanation:

Be sure to insert π where appropriate!

If the diameter of the yo-yo is 4 in, then the radius is 2 in.

The area comes from A = πr² and the circumference from C = πd.

In this case the area is A = π(2 in)² = 4π in² or 12.57 in².

The circumference is C = 4π in or 12.57 in.

Answer:

g(n) = 11n

Step-by-step explanation:

Note that the values of g(n) are 11 times the corresponding values of n

Hence

g(n) = 11n

Answer:

Part A) [tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

Part B) The coordinates of the center are [tex](h,k)=(1,2)[/tex] and the radius is equal to [tex]r=3\ units[/tex]

Part C) The graph in the attached figure

Step-by-step explanation:

we have

[tex]x^{2} +y^{2}-2x-4y-4=0[/tex]

Part A) Convert to standard form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](x^{2}-2x) +(y^{2}-4y)=4[/tex]

Complete the square twice. Remember to balance the equation by adding the same constants to each side

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=4+1+4[/tex]

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=9[/tex]

Rewrite as perfect squares

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex] ------> Is a circle

Part B) If this is a circle, state the coordinates of the center and give the radius.

we know that

The equation of the circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center

r is the radius

In this problem we have

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

therefore

The coordinates of the center are [tex](h,k)=(1,2)[/tex]

The radius is equal to [tex]r=3\ units[/tex]

Part C) Plot the circle

using a graphing tool

see the attached figure

Answer:

OR

Step-by-step explanation:

Answer:

Step-by-step explanation:

In simple language, two things are said to be congruent if they overlap each other i.e they have same size and shape. Angles are said to be congruent if they have same measure. Sides are congruent if they have same length .

We say that two triangles are said to be congruent if there is one to one correspondence between their angles and side.

Here, it's given that BCDE is congruent to OPQR i.e there is one to one correspondence between their sides and angles i.e

[tex]B\leftrightarrow O\,,\,C\leftrightarrow P\,,\,D\leftrightarrow Q\,,\,E \leftrightarrow R[/tex]

So, BE is congruent to  OR .

Answer:

A normal distribution

2.4cm is the tangent of A

Final answer:

The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.

Explanation:

If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.

Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:

tan(A) = X / Y = 10 cm / 24 cm

Calculating this gives us:

tan(A) ≈ 0.4167

Therefore, the tangent of angle A is approximately 0.4167.

Answer:

are u a girl

Step-by-step explanation:

Answer:

-5(-2x2)-3(-2)=26

-Hello There-

If We Subtracted 5/8 From 3/4 We Would Have A Difference Of 1/8

Have A Great Day!

Answer:

The difference between 3/4 and 5/8 is 1/8

Answer:

Step-by-step explanation:

first look at all the equation and solve them. When you get the all of there answer then divide the answers by the sides. And then you will find your answer!

Answer:

The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol

Step-by-step explanation:

Answer

1/12

3/8

4/6

reduce them there are three answers

Answer:

1/36

Step-by-step explanation:

There are 6 sides on each dice.

Total number of possible combinations

= 6 x 6

= 36

Possible combinations that have a sum of 2

= (1, 1)

Total number of combinations that will give a sum of 2

= 1

P(of rolling a sum of 2)

= 1/36

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)

m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

Answer:

1.72364

Step-by-step explanation:

For this case we must indicate the sum of the following decimal expressions:

[tex]0.834\\0.08\\0.00034\\0.8003\\----\\1.71464[/tex]

We add from right to left keeping the order, or we can also enter the expressions in a calculator.

Answer:

1.71464

Answer:-2

Step-by-step explanation:

The sum of temperatures over five days in St. Paul, Minnesota would be calculated by adding the individual temperatures of each day together. If any temperatures are negative, it would decrease the total sum.

To find the sum of the various temperatures over the five days in St. Paul, Minnesota, you need to know the specific temperatures for each day. Assuming we have those temperatures, let's say they are 20°C, 22°C, 19°C, 21°C, and 23°C. You simply add these temperatures together: 20 + 22 + 19 + 21 + 23. The total would be 105°C for the five days. This is a basic mathematical operation, summarizing data by adding them together. Note: If any of the temperatures were negative (like -5°C), this would decrease the sum because you would be essentially subtracting that value.

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Answer:

The measurement of arc KL is [tex]8\°[/tex]

Step-by-step explanation:

Let

x--------> the measure of arc KL

y-------> the measure of arc MJ

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

[tex]m<MEJ=\frac{1}{2}(y-x)[/tex]

we have

[tex]m<MEJ=16\°[/tex]

[tex]y=5x[/tex]

substitute the given value

[tex]16\°=\frac{1}{2}(5x-x)[/tex]

[tex]32\°=(4x)[/tex]

[tex]x=8\°[/tex]

therefore

The measurement of arc KL is [tex]8\°[/tex]

Answer: 43.3 inches.

Step-by-step explanation:

According to the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.

Let be "c" the width of the television.

We can indentify in the figure that:

[tex]a=50in\\b=25in[/tex]

Then, we can substitute values and solve for "c":

[tex](50in)^2=(25in)^2+c^2\\\\c=\sqrt{(50in)^2-(25in)^2}\\\\c=43.30in[/tex]

Rounded to the nearest tenth:

[tex]c=43.3in[/tex]

Final answer:

The width of a flat screen television with a 50 inch diagonal and a 25 inch height is found to be approximately 43.3 inches when calculated using the Pythagorean Theorem.

Explanation:

To find the width of a flat screen television with a 50 inch diagonal and a height of 25 inches, we will apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal is the hypotenuse (c), the height is one leg (a), and the width is the other leg (b).

The Pythagorean Theorem is written as:

a2 + b2 = c2

Using the given measurements:

252 + b2 = 502

Solving for b, we have:

b2 = 502 - 252

b2 = 2500 - 625

b2 = 1875

b = √1875

b ≈ 43.3 inches (rounded to the nearest tenth)

Therefore, the width of the television is approximately 43.3 inches.

Answer:

B

Step-by-step explanation:

A geometric series will only converge if the common ratio r meets the requirement

- 1 < r < 1

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

All terms inside the summation are of this form

The only one with - 1 < r < 1 is B where r = [tex]\frac{3}{4}[/tex] = 0.75

The series with the common ratio 2/3 and 3/4 converge. That is option A. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex] and option B. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]

To determine whether a geometric series converges or diverges, we need to examine the common ratio (r) of the series. A geometric series converges if the absolute value of the common ratio is less than 1 (|r| < 1). It diverges if the absolute value of the common ratio is greater than or equal to 1 (|r| ≥ 1).

Let's analyze each series:

1. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex]

The common ratio in this series is 4/6, which simplifies to 2/3. Since |2/3| < 1, this series converges.

2. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]

The common ratio in this series is 3/4. Again, |3/4| < 1, so this series also converges.

3. [tex]sum n = 1 to ∞ 3 * (7/5)^(n-1)[/tex]

The common ratio in this series is 7/5. However, |7/5| > 1, which means the series diverges.

4. [tex]sum n = 1 to ∞ 1/9 * (1)^(n-1)[/tex]

The common ratio in this series is 1. Since |1| ≥ 1, this series also diverges.

In summary:

- The series with the common ratio 2/3 and 3/4 converge.

- The series with the common ratio 7/5 and 1 diverge.

The reason behind this is that when the absolute value of the common ratio is less than 1, each subsequent term in the series becomes smaller and smaller. As a result, the sum of the series approaches a finite value. Conversely, if the absolute value of the common ratio is greater than or equal to 1, the terms in the series do not decrease enough, causing the sum to increase without bound, leading to divergence.

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Answer:

J is correct

Step-by-step explanation:

You need to simplify top as

[tex](27m^{12}n^3 )(2m^2n^5p)=54m^14n^8p[/tex]

Then can easily see the correct answer is J.

Answer:

Step-by-step explanation: