36°
The adjacent angles 21 and 22 have measures of:
38, 142
76, 104
28, 152

Answer:

Step-by-step explanation:

Factor numerator: x^2 + x - 12 = (x + 4)(x - 3)

Factor denominator: x^2 + 7x + 12 = (x + 3)(x + 4)

Notice that the numerator and denominator have a common factor (x + 4).

They can cancel.

What is left is (x - 3)/(x + 3)

first, make an equation:

[tex] - 54 = - 3x - 12[/tex]

then, add twelve to both sides to remove it from the right:

[tex] - 42 = - 3x[/tex]

then just divide by (-3) to get the value of x:

[tex]x = 14[/tex]

The student's question involves setting up and solving a simple algebraic equation. By following the order of operations and isolating the variable, we find that the unknown number is 30.

To solve the problem stated, 'If you subtract 12 from my number and multiply the difference by -3 the result is -54', let's establish a variable to represent the unknown number. Let's call this number 'x'. According to the problem, we need to perform two operations on this number:

1. Subtract 12 from the number x. 2. Multiply the result by -3, which should result in -54.

This establishes the equation:

(x - 12) × -3 = -54

To find x, we'll follow these steps:

Divide both sides of the equation by -3 to isolate the term (x - 12): (x - 12) = -54 / -3 (x - 12) = 18

Add 12 to both sides of the equation to solve for x: x - 12 + 12 = 18 + 12 x = 30

Therefore, the number we're looking for is 30.

That question is not a statistical question since there will be only one answer. If it were to be statistical it would have multiple answers an example of that type of question would be, Why did you decide to try out for the volleyball team? This is statistical because some could say they joined for fun, credits, to do something active, etc.. there would be multiple answers. Your question, How many students tried out for the volleyball team isn't statistical since it will have one answer such as, 26 students, 15 student, 2 students, etc...

Hope this helped!

The question about how many students tried out for a volleyball team relates to statistics. It involves collecting, analyzing, and interpreting numerical data. For example, the number of students trying out for the team can be used as statistical data.

The question 'How many students tried out for the volleyball team?' is one that relates to statistics. This is because it seeks to gather numerical data (in this case, the number of students) related to a specific event (trying out for the volleyball team). Therefore, the process of answering this question would involve collecting, analyzing, interpreting, presenting, or organizing this data.

For instance, let's say that 30 students tried out for the volleyball team. This count is a piece of statistical data which may be further used to compare with previous years, calculate percentages, or make projections for following years.

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Answer:

D) >20% are in favor

Step-by-step explanation:

Process of elimination:

Not C, since the same number is undecided for each

Not A, since more people are undecided

Not B, since 60 students decided compared to 40 undecided

The answer is D, since 25/100 = 25% of students are in favor

There are two lines from the center of the circle labeled 5.

The lines at 90 degrees from the 5 are chords.  Because both lines are the same distance from the center they are the same length.

The one on the top is labeled as 9, so the line on the bottom is also 9 units long.

X is half the length, so would b 9 /2 = 4.5 units long.

Answer:

Step-by-step explanation:

DDD

DDC

CDD

CCC

CCD

DCC

Answer:

10x

Step-by-step explanation:

5x(2)

When this is simplified, the answer is 10x

5x(2)

5x multiplied by 2 is 10x

The answer is 10x

This is because 5x is being multiplied by 2. We know this because parentheses are one of the several symbols of multiplication.

Even though 5 has an x attached to it you can just ignore it for now, multiply 2 to the 5 then just reattach the x at the end of your answer

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′ is equal to [tex]5\ units[/tex]

Step-by-step explanation:

we know that

To find the distance, apply the Pythagoras Theorem

Let

x ----> the distance between any two corresponding points on ΔXYZ and ΔX'Y'Z′

[tex]x=\sqrt{4^{2}+3^{2}} \\ \\x=\sqrt{25}\ units\\ \\x=5\ units[/tex]

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

note that (5x)³ = 5³x³ = 125x³

Hence

[tex]\frac{5x^3}{125x^3}[/tex]

Cancel the x³ on numerator/denominator and divide the 5 and 125 by 5

= [tex]\frac{1}{25}[/tex] ← in simplified form

Final answer:

To solve the inequality 14 - 3x < -1.14, subtract 14 from both sides, then divide by -3 and remember to reverse the inequality, resulting in the solution set x > -5.05.

Explanation:

To find the solution set of the inequality 14 - 3x < -1.14, follow these steps:

Therefore, the solution set for the inequality is all real numbers greater than -5.05.

One solution

The two (or more) equations would only intersect once

No solution

Lines never intersect

The lines are parallel

Infinite solutions

The lines are the exact same

That’s all the characteristics I know

Answer:

(6,4)

Step-by-step explanation:

y = x-2

y =4

Set the two equations equal

x-2 =4

Add 2 to each side

x-2+2 = 4+2

x =6

Now we need to find y

y =4

(6,4)

Answer:

Step-by-step explanation:

For question 4, the top equation has an x and a y value in it. The second equation is just a y value. So put the 4 into the top equation.

4 = x - 2                   Add 2 to both sides

4 + 2 = x -2 + 2

6 = x

You can actually graph this to show that the solution set is (6,4) The solution set is marked (6,4).

The read line is y = x - 2

The blue line is y = 4

Answer:

option A and B are correct.

Step-by-step explanation:

Given: [tex]p(t) = \frac{64}{1 + 11e^{-.08t} }[/tex]

Option A: [tex]\lim_{t \to \infty} \frac{64}{1 + 11e^{-.08(\infty)} }  = \frac{64}{1 + 0}  = 64[/tex]

Option A is true,

Option B: [tex]P(0) = \frac{64}{1 + 11}  = 5.33[/tex]

Option B is also true.

Option C:

[tex]P(t + 1) = \frac{64}{1 + 11e^{-.08(t + 1)} }  = \frac{64}{1 + 10.15e^{-.08t} } \\1.08 · P(t) = \frac{64 · 1.08 }{1 + 11e^{-.08t} }   = \frac{69.12}{1 + 11e^{-.08t} }[/tex]

P(t + 1) ≠ 1.08 · P(t)

Option C is incorrect.

Option D:  It is also incorrect, because according to option 2 earth's population will not grow exponentially without Bound.

Answer:

1/48

Step-by-step explanation:

The probability of both happening is equal to the product of each probability.

P(A and B) = P(A) × P(B)

P = 1/12 × 1/4

P = 1/48

Answer:

i agree that the answer is 1/48

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The disciminant [tex]\Delta[/tex] tells you how many real solutions a quadratic equation has, depending on its sign:

[tex]\Delta>0\implies\text{2 solutions}\\\Delta=0\implies\text{1 solution}\\\Delta<0\implies\text{no solutions}[/tex]

ANSWER

0

EXPLANATION

The discriminant of a quadratic equation in the form

[tex]a {x}^{2} + bx + c = 0[/tex]

is given by

[tex]D = {b}^{2} - 4ac[/tex]

The discriminant of a quadratic equation tells us the nature of the roots of that quadratic equation.

If the discriminant is negative, the equation has no real roots.

If the discriminant us positive, the equation has two real roots.

If the discriminant is zero, the equation has a repeated root.

Since the discriminant is -6, the equation has no real roots.

In other words, the number of real roots is 0.

Answer:

So i believe the answer is 2.

Step-by-step explanation:

The common denominator? Right? If so

2: 1 and 2

8: 1,8,2, and 4

14: 1,14,2, and 7

20:,1,20,2,10,4, and 5

26:1,26,13, and 2

Hope my answer has helped you!

Answer: When I converted it on a calculator it gave me 3/125 hope that is what you were looking for.

Step-by-step explanation:

Answer:3 over 125

plzz give brainliest i am 100% sure

Step-by-step explanation:

Steps to convert decimal into fraction

Write 0.024 as  

0.024

1

Multiply both numerator and denominator by 10 for every number after the decimal point

0.024 × 1000

1 × 1000

=  

24

1000

Reducing the fraction gives

3

125

Answer:

[tex]JP=5\sqrt{3}\ cm[/tex]

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

[tex]h=\dfrac{a\sqrt{3}}{2},[/tex]

where a is the side length.

So,

[tex]h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.[/tex]

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=2}^54k\\\\\text{Make a sum with components equal to 4k,}\\\text{ where k = 2, k = 3, k = 4 and k = 5}:\\\\4(2)=8\\4(3)=12\\4(4)=16\\4(5)=20\\\\8+12+16+20=56[/tex]

I found it by random. You times the ratio by 4 to get 36 puppies and kittens combined.

If the puppies was 5 then 5 x 4 = 20 puppies in their sales.

If the puppies was 4 then 4 x 4 = 16 puppies in their sales.

I couldn't tell if the ratio was in the according order of puppies and then kittens or if that was just saying what the ratio was about.

Let us consider the ratio to be x

So, as per the question's statement, we can write it as;

 [tex]5x+4x=36[/tex]

⇒[tex]9x=36[/tex]

We will divide 9 on both the sides, we get;

⇒[tex]x=\frac{36}{9}=4[/tex]

So, for getting the number of puppy sold we have to multiply it with 5, we get;

[tex]5x=5*4=20[/tex]

They have sold 20 puppies.

Hence, the answer is [tex]20[/tex] puppies.

Divide data A by data B to find your ratio. In the example above, 5/10 = 0.5. Multiply by 100 if you want a percentage. If you want your ratio as a percentage, multiply the answer by 100

Ratios can be fully simplified just like fractions. To simplify a ratio, divide all of the numbers in the ratio by the same number until they cannot be divided any more

.Learn more about ratios, refer to:

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Answer:

B.  4x + 1

Step-by-step explanation:

4x^2 + 21x + 5

= (4x + 1)(x + 5)

Factors of this trinomial are (4x + 1) and (x + 5)

Answer

(4x + 1)

Answer:

4x+1

Step-by-step explanation:

just toook the test

ANSWER

A) 7

EXPLANATION

The given triangles are similar

Hence the corresponding sides are in the same proportion.

[tex] \frac{3x + 4}{30} = \frac{30}{36} [/tex]

Simplify the right hand side:

[tex]\frac{3x + 4}{30} = \frac{5}{6}[/tex]

Cross multiply;

6(3x+4)=5×30

Expand

18x+24=180

18x=150-24

18x=126

[tex]x = \frac{126}{18} = 7[/tex]

Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:

Answer: meow 1. −6z + 13 = −11z − 7

2. 6 + 17z = 13z + 18

3. 4

5 k – 5 = –7 +

2

5 k

4. − 4

5 w +

1

4 =

1

5 +

1

3 w

5. 15(−42x + 40) = 15(−8x + 244)

6. 4 – 3

5 (3a + 4) = 7

7. 1

2 (15 + 7d) = − d

Step-by-step explanation:

Answer:

The amount of money David spent is $115.

Step-by-step explanation:

Consider the provided information.

David had $350. After shopping, he was left with $235.

Let the money spent by David is c.

As some money are spent from the total amount, So use a "-" sign and put the equation equals to 235, as this is the amount he left with.

The equation can be represented as:

350 - c = 235

Now simplify the above equation in order to find the money spent by David.

Isolate the variable by adding c and subtracting 235 from both sides.

350 - c + c -235 = 235 + c -235

115 =  c

Hence, the amount of money David spent is $115.

Answer:

[tex]\sin 75\degree=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Step-by-step explanation:

The haf-angle formula is given by:

[tex]\sin \frac{1}{2}\theta =\sqrt{\frac{1-\cos \theta}{2} }[/tex]

[tex]\sin 75\degree=\sin \frac{1}{2}(150\degree)[/tex].

This implies that:

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1-\cos 150\degree}{2} }[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{1--\frac{\sqrt{3}}{2}}{2}}[/tex]

[tex]\sin \frac{1}{2}(150\degree) =\sqrt{\frac{2+\sqrt{3}}{4}}[/tex]

We simplify the square root to obtain:

[tex]\sin \frac{1}{2}(150\degree)=\frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

Answer:

[A]    [tex]\frac{\sqrt{2 + \sqrt{3} } }{2}[/tex]

Answer:

Step-by-step explanation:

If the mean is 110, and the standard devaition is 22,

1 standard dev. below the mean is 110-22

2  standard dev below the mean is 110-22-22

3 standard dev below the mean is 110-22-22-22

Hope that helps!

The score that is 3 standard deviations below the​ mean will be 44.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22.

Then the score that is 3 standard deviations below the​ mean will be

The first standard deviation below the mean will be

⇒ 110 - 22

⇒ 88

The second standard deviation below the mean will be

⇒ 110 - 22 - 22

⇒ 66

The third standard deviation below the mean will be

⇒ 110 - 22 - 22 - 22

⇒ 44

More about the z-score link is given below.

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Answer:

18

Step-by-step explanation:

(3x)(3y)

= (3)(-2)(3)(-1)

= 18

Answer:

1) (-2)+3

-2+3

=1

2) (-14)+(-7)

-14-7

=-21

3) 3-(-8)

3+8

=11

4) (-9)+14

-9+14

=5

5) (-8)-(-2)

-8+2

=-6

6) 5+(-8)

5-8

=-3

7) (-27)-24

-27-24

=-51

8) (-41)+(-40)

-41-40

=-81

9) 38-(-17)

38+17

=55

10) (-44)+(-9)

-44-9

=-53

11) (-16)-(-36)

-16+36

=20

12) (-6)-24

-6-24

=-30

hope this helps :)

The correct answer is C. 604,800.

To calculate this, we can use the formula for permutations:

P(n, k) = n! / (n-k)!

In this case, we have 9 digits (0-9), and we want to create a 7-digit phone number. Since the first digit cannot be 0, we have 9 choices for the first digit, and 9 remaining choices for each subsequent digit (since numbers cannot be repeated).

So, the total number of possible phone numbers is:

P(9, 7) = 9! / (9-7)! = 9 × 8 × 7 × 6 × 5 × 4 × 3 = 604,800

Therefore, the correct answer is C. 604,800.

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

Cross multiply

3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

-9x = 9

Divide both sides by -9

x = -1