if 2x+1/4 = 12/20 what is the value of x

Answer:

B. sin(theta) cos^2(theta)

Step-by-step explanation:

sin^2(theta) / csctheta tan^2(theta)

To solve, we convert to sine and cosine and then simplify.

means by the priority of operators (* and / from left to right)

(sin^2(theta) / csctheta) * tan^2(theta)

= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2

= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)

= sin^5(theta) / cos^2(theta)

which obviously does not correspond to any of the answers.

IF the expression were missing parentheses in the denominator, then it becomes:

sin^2(theta) / (csctheta tan^2(theta))

= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))

= sin^2(theta) / (sin(theta)/cos^2(theta)

= sin(theta) cos^2(theta)

which corresponds to answer B.

Answer:

[tex]\Large \boxed{\bold{B.} \ \mathrm{sin(\theta) \cdot cos^2(\theta) }}[/tex]

Step-by-step explanation:

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{ csc(\theta) \cdot tan^2(\theta)} }[/tex]

Simplify the expression.

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{1}{sin} (\theta) \cdot \frac{ sin^2(\theta)}{ cos^2(\theta)} } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{\frac{sin^2 }{sin} (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) \cdot cos^2(\theta) } }[/tex]

[tex]\displaystyle \mathrm{\frac{sin^2(\theta ) }{sin (\theta) } \cdot cos^2(\theta) }[/tex]

[tex]\displaystyle \mathrm{sin(\theta) \cdot cos^2(\theta) }[/tex]

Answer:

  a rectangle

Step-by-step explanation:

Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.

Answer:

1/3

Step-by-step explanation:

There are 9 possible outcomes

We want the ones that have the same color which are GG , YY or BB

P ( same color) = number of same color outcomes / total outcomes

                          = 3/9

                          =1/3

Answer:

1/3

Step-by-step explanation:

3/9, simplify to 1/3

Answer:

D. 2^3/2

Explanation:

3 3/2

= ²√3³

= ²√27

Hope this helped! :D

Answer:

The answer is D  

Step-by-step explanation:

hope this helps ^_^

Answer:

The linear factors are:

[tex]x - 2[/tex]

[tex]x + 3[/tex]

[tex]x + 1[/tex]

Step-by-step explanation:

Given

[tex]x^3 + 2x^2 - 5x - 6[/tex]

Required

Select all linear factors of the polynomial

Solving for x - 2;

Equate x - 2 to 0 and solve for x

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

[tex]x = 2[/tex]

Substitute 2 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]

[tex]2^3 + 2(2^2) - 5(2) - 6[/tex]

[tex]= 8 + 8 - 10 - 6[/tex]

[tex]= 0[/tex]

Because, we arrived at 0, then x - 2 is a factor

Solving for x + 3;

Equate x + 3 to 0 and solve for x

[tex]x + 3 = 0[/tex]

[tex]x = -3[/tex]

Substitute -3 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]

[tex](-3)^3 + 2(-3^2) - 5(-3) - 6[/tex]

[tex]= -27 + 2(9) + 15 - 6[/tex]

[tex]= -27 + 18 + 15 - 6[/tex]

[tex]= 0[/tex]

Because, we arrived at 0, then x + 3 is a factor

Solving for x - 1;

Equate x - 1 to 0 and solve for x

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

Substitute 1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]

[tex](1)^3 + 2(1^2) - 5(1) - 6[/tex]

[tex]= 1 + 2(1) - 5 - 6[/tex]

[tex]= 1 + 2 - 5 - 6[/tex]

[tex]= -8[/tex]

Because, we did not arrived at 0, then x - 1 is not a factor

Solving for x + 1;

Equate x + 1 to 0 and solve for x

[tex]x + 1 = 0[/tex]

[tex]x = -1[/tex]

Substitute -1 for x in [tex]x^3 + 2x^2 - 5x - 6[/tex]

[tex](-1)^3 + 2(-1^2) - 5(-1) - 6[/tex]

[tex]= -1 + 2(1) + 5 - 6[/tex]

[tex]= -1 + 2 + 5 - 6[/tex]

[tex]= 0[/tex]

Because, we arrived at 0, then x + 1 is a factor

Answer:

B

Step-by-step explanation:

Answer:

250.72

Step-by-step explanation:

the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.

Answer:

175.4

Step-by-step explanation:

50+50=100

Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4

100+75.4= 175.4

Answer:

43

Step-by-step explanation:

(9r-5s+3^3)

Let r = 2/3  and s = -2

(9 * 2/3-5* -2+3^3)

(6+ 10+27)

43

Answer:

Step-by-step explanation:

[tex]9r - 5s + {3}^{3} [/tex]

plug the values

[tex] = 9 \times \frac{2}{3} - 5 \times ( - 2) + {3}^{3} [/tex]

Reduce the numbers with Greatest Common Factor 3

[tex] = 3 \times 2 - 5 \times ( - 2) + {3}^{3} [/tex]

Multiply the numbers

[tex] = 6 + 10 + 27[/tex]

Calculate the sum of positive numbers

[tex] = 43[/tex]

Hope I helped..

Best regards!

Answer:

please mark my answer as the brainliest

Step-by-step explanation:

AREA = 1/2 * (b1+b2)h

A = 1/2 * (8+18)13.5

therefore area = 175.5cm^2

Answer:

Area = 1/2 * (B1+B2)hH

A = 1/2 * (8+18)13.5

Therefore the area = 175.5cm^2

Answer:

16a^2+5

Step-by-step explanation:

Answer:

3 + 6 = 1/2(#grapes)

3 + 6 = 9

9 = 1/2(#grapes)

2(9) = 1(#grapes)

18 = # of grapes

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

2(7)-(-4)/3

(14+4)/3

18/3

=6

If it's right can i get brainliest.

Answer:

D) 6

Step-by-step explanation:

Plug in the values of a & b

[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]

Answer:

Step-by-step explanation:

B because 16 over 18 in decimal is .8 repeating

Hi dude....

Pls mark my ans as brainliest :)

Answer:

B. 16/18

Step-by-step explanation:

A 28/35 = 0.8

B 16/18 =  0.88888888888.....

C 19/76 = 0.25

D 133/190 =  0.7

E 30/48 = 0.625

Hope it helps.....

Pls mark my ans as brainliest

Answer:

a) 28

b) 56

Step-by-step explanation:

A cube is a three dimensional shape gotten from a square. It has 6 faces, and an equal line segment that form its sides.

A vertex is the edge of a figure.

In the given cube ABCDEFGH, since the vertices to be considered are not only the adjacent vertices, then;

a) By connecting the vertices of the cube, 28 different segments can be obtained.

b) The number of triangles that can be formed by connecting 3 of the vertices of the cube is 56.

Answer:

30 students (30 total voters)

Step-by-step explanation:

Let s represent the number of students in the class.  Evan earned 80% of these votes, which came to 24 votes.  Symbolically, we have:

                                                                                                  24 votes

0.80s = 24 votes.  Therefore, s = total number of voters = ---------------- = 30 voters                                                                                              0.8

The total number of students (voters) in his class was 30.

Answer:

It is 30.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Answer:

677,727,284,640,775 ?

Answer: 5.6 ≤ x ≤ 24.13.

Step-by-step explanation:

Given, The graph of the function[tex]P(x) = -0.74^2 + 22x + 75[/tex] . The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.

In graph , On axis → number of calculators produced

On y-axis →  profit made in thousands of dollars.

From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)

So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.

The constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

Functions are the connection between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
To keep the profits at or above $175,000, we need to solve the inequality P(x) ≥ 175. Let's substitute P(x) with its expression and solve for x:

P(x) = −0.74x² + 22x + 75

−0.74x² + 22x + 75 ≥ 175

−0.74x² + 22x − 100 ≥ 0

0.74x² − 22x + 100 ≤ 0 (dividing by -1 and changing the direction of the inequality)

Now we can solve this quadratic inequality by finding the zeros of the corresponding quadratic equation:

0.74x² − 22x + 100 = 0

Solving this equation, we get x = 5.6 and x = 24.13.

So, the solution to the inequality is 5.6 ≤ x ≤ 24.13.

Therefore, the constraint that is reasonable for the model is: 5.6 ≤ x ≤ 24.13.

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Answer:

150 I believe but don't quote me on that

Answer:

an=1*2.5^(n-1)

=2.5^(n-1)

Step-by-step explanation:

Complete question below:

What value, written as a decimal, should Lena use as the common ratio? Lena is asked to write an explicit formula for the graphed geometric sequence. On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

Solution

Point (1, 1), (2, 2.5), (3, 6.25).

a=1

ar=2.5

ar^2=6.25

From ar and ar^2

r=6.25/2.5

=2.5

r=2.5

an=ar^(n-1)

Therefore, the explicit formula is

an=1*2.5^(n-1)

=2.5^(n-1)

Answer:

The nearest whole number you need to round to is: $3,094.00

Step-by-step explanation:

If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!

Answer:

a. The railing is transversal to the posts

b. In order to make the posts parallel, the angle between the posts and the transversal should be = 78°

c. The angle between the post and the ramp is 102° as we reach the post from the bottom and 102°  and 78° immediately after the post

d. 1) Alternate interior angles = 78° and 102°

2) Alternate exterior angles = 102°

3) Corresponding angles = 78° and 102° depending on the side of from which we approach the post

4) Consecutive interior = 78° and 102° depending on the side of from which we approach the post

e. The interior angles are supplementary

f. Horizontal spacing between posts =  2.93 ft.

Spacing between posts along the length of the railing =  3 ft. spacing

Step-by-step explanation:

a. A transversal is a line crossing two or more parallel lines which are in a plane at different points

Therefore, the railing is transversal to the posts

b. Whereby the ramp rises at an angle of 12°, the railing, which is the transversal is therefore inclined at 12° to the horizontal and the posts which will be vertical erect will be at 90° to the horizontal

Therefore, in order to make the posts parallel, the angle between the posts and the transversal should be 90° - 12° = 78° for each post to railing.

c. The angle between the post and the ramp before the post as we ascend the ramp is therefore, 180 - 78 = 102°  and 78° after the post

d. The alternate interior angles lie on the opposite sides of the transversal = 78° on one side and 102° on the other (Sum of angles on a straight line) which are the angles on the transversal

The alternate exterior angles lie on the exterior opposite sides of the transversal = 102°

Corresponding angles are the angles located in the corresponding positions on the transversal = 78° on one side and 102°as we cross the post (Sum of angles on a straight line)

Consecutive interior angles are the angles that are located on the same part of the transversal = 78° and 102° (Sum of consecutive interior angles of parallelogram = 180°

e. For the posts to be parallel, the consecutive interior angles should be supplementary or equal to 180°

f. Whereby we have a 12-ft rail inclined at 12°, we have;

Horizontal distance covered by the rail = 12 × cos(12) = 11.74 ft

Since we have 5 posts, there 4 equal spaces between them which gives

Spaces between posts = 11.74/4 = 2.93 ft. horizontally and 3 ft. spacing between each post along the railing.

Answer:

x = y+7

x = y -1

Step-by-step explanation:

Variable x is 7 more than variable y

is means equals

x = y+7

Variable x is also 1 less than y

x = y -1

Answer:

5a.    0.2823 = 2823/10000                        5b.   0.5474 = 2737/5000

6a.    0.3484 = 871/2500                              6b.   0.5 = 1/2

7a.   0.11 = 1/9                                                7b.    0.1224 = 153/1250

Answer:

2 and -2

Step-by-step explanation:

● 7q^2 -28 = 0

Add 28 to both sides

● 7q^2-28+28 = 28

● 7q^2 = 28

Divide both sides by 7

●7q^2/7 = 28/7

● q^2 = 4

You can write directly q= 2 or q= -2

To understand it use the absolute value.

● |q| = 2

● q = 2 or q = -2

The solutions are {2, -2}

Answer:

Step-by-step explanation:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

A(-8,-6)   ; B(-3,-6)

[tex]AB= \sqrt{(-3-[-8])^{2}+(-6-[-6])^{2}}\\\\=\sqrt{(-3+8)^{2}+(-6+6)^{2}}\\\\=\sqrt{(5)^{2}+ 0}\\\\= 5 units[/tex]

Answer:

-11/45

Step-by-step explanation:

5/9 + (-4/5) =

= 5/9 * 5/5 - 4/5 * 9/9

= 25/45 - 36/45

= -11/45

Answer:

a(n) = 1(2.5)^(n - 1)

Step-by-step explanation:

The geometric sequence is 1, 2.5, 6.25, 15.625, and so on; the first term is 1.  The common ratio is 2.5; each new term is 2.5 times the previous term.

The explicit formula desired is thus a(n) = 1(2.5)^(n - 1)

Answer:

ITS CCCCCCC (2.5)

Answer:

The cost of the binder is 12.96

Step-by-step explanation:

Answer:

1.363116466×10^22

Step-by-step explanation: Listing all the pairs of divisors: 1, 288; 2, 144; 3, 96; 4, 72; 6,48; 8,36; 9,32; 12, 24; 16, 18

There are 9 pairs, counting 288 itself and 1. Each pair of factors, aka divisors, will have a product of 288. So the product of those products can be expressed as 288^9

Entered into a scientific calculator, the result is

1.363116466×10^22

May I have Brainliest, please.

Total product of all positive divisors of 288 are 18.

To find the product of all positive divisors of 288.

A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.

The divisors/factors of 288 get multiplied together to make 288.

1 × 288, 2 ×144, 3 × 96, 4 × 72, 6 × 48, 8 × 36, 9 × 32, 12 × 24, 16 ×18

The pairs that make 288. So the divisors/factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16,18, 24, 32, 36, 48, 72, 96,144, 288.

So, the Total product of all positive divisors of 288 are 18.

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