Mathematics High School

Rewrite with only sin x and cos x.
sin 2x - cos 2x

Select one:
a. 2 sin2x - 2 sin x cos x + 1
b. 2 sin x
c. 2 sin2x + 2 sin x cos x - 1

Answers

Answer 1
I may be wrong but I think it is C.

Related Questions

the value 5 is a an upper bound for the zeros of the function shown below f(x)=x^4+x^3-11x^2-9x+18

A. TRUE
B. FALSE

Answers

Answer:

Answer to this question is TRUE.

Step-by-step explanation:

The graph of the function:

[tex]f(x)=x^4+x^3-11x^2-9x+18[/tex]  is attached to the answer.

Clearly by looking at the graph we could see that the zeros of the function f(x) are -3, -2, 1 and 3.

All the zeros are distinct.

" Also upper bound of a number 'p' means the set of all those numbers which are greater than 'p' ".

Here 5 will be an upper bound for the zeros of the function f(x) since all the 4 zeros of f(x) are less than 5.

Hence, the given statement that the value 5 is an upper bound for the zeros of the function f(x) is TRUE.




Answer:

true

Step-by-step explanation:

Brian made 5 free throws at basketball practice. ethan scored 3 more than twice the number of free throws brian made. which equation could be used to find the number of free throws, t, ethan made?

Answers

Lets Brian => b and Ethan => e so
b=5
e=3+2b
will be the equation of finding free throws.

Question 4 :)))))))$$$))))$$

Answers

380 * 0.05 = 19. 

£19 is your answer. 

The temperature has been going down at a constant rate. In 3 hours it went down 15 degrees. Which expression best shows the temperature change each hour? A.−15⋅−3 B. 15⋅3 C. −15÷3 D.15÷3

Answers

Hey there!

I think it’s either A or D

Hope this helps!

What is the range of the data set

2 | 1, 3, 8, 8
5 | 2, 4, 6, 6, 7
6 | 0, 1, 1

Key: 6| 0 means 60 please help i do not get this plz solve

Answers

The range is the difference between the highest and lowest values.
The highest value is 61.
The lowest value is 21.

range = highest value - lowest value = 61 - 21 = 40

The common stock of air united had annual returns of 13.7 percent, 4.8 percent, -6.7 percent, and 27.9 percent over the last four years, respectively. what is the standard deviation of these returns?

Answers

JDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPE

use the distance formula and the pythagorean theorem to find the distance, to the nearest tenth, from T (4,-2) to (-2,3).

Answers

Answer:
distance = [tex] \sqrt{61} [/tex] which is 7.8 to the nearest tenth

Explanation:
The distance between two points can be calculated using the following formula:
distance = [tex] \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex]

In the given, we have:
point (4,-2) representing (x1,y1)
point (-2,3) representing (x2,y2)

Substitute with the givens in the above formula to get the distance as follows:
distance = [tex] \sqrt{(-2-4)^2 + (3--2)^2} = \sqrt{61} [/tex] which is 7.8 to the nearest tenth

Hope this helps :)
T=(4, -2)=(xt, yt)→xt=4, yt=-2
P=(-2, 3)=(xp, yp)→xp=-2, yp=3

d=sqrt[ (xp-xt)^2+(yp-yt)^2 ]
d=sqrt[ (-2-4)^2+(3-(-2))^2 ]
d=sqrt[ (-6)^2+(3+2)^2 ]
d=sqrt[ 36+(5)^2 ]
d=sqrt( 36+25 )
d=sqrt(61)
d=7.810249676
To the nearest tenth
d=7.8

Answer: The distance, to the nearest tenth, from T (4,-2) to (-2,3) is 7.8


HHHEEELLLPPP PLEASE
1] Amanda’s gross annual salary is $62,112.

What is the maximum amount of rent she can afford to pay?

Round your answer to the nearest dollar.

A $2588
B $1866
C $1449
D $1236

2] Jonathan is signing a lease for an apartment that rents for $1240/month.

How much will he pay to move in if he must pay the first and last months’ rent and a security deposit equal to 80% of his monthly rent?

A $2976
B $3472
C $3542
D $3720

Answers

Part 1
Rule of thumb for month rent: Rent ≤ 28% of monthly gross income

Then,
Month gross income = $62,112/12 = $5,176
Affordable rent = 0.28*5176 = $1,449.28
Rounding to nearest dollar;
Affordable rent = $1,449.
The correct answer is C.

Part 2
Monthly rent = $1240
Security deposit = 80% of rent = 0.8*1240 = $992
Amount to be paid = 1240*2 + 992 = $3472

The correct answer is B.

Answer:

first one would be c

Step-by-step explanation:

Graciela is working to earn 200$ . she earns 25$ mowing her grandmas lawn and 60$ for a day of housecleaning what decimal represents the part of money graciela still needs to earn

Answers

25 + 60 = $85. 85/200 and x/100. 100 times 85= 8500. Divide 8500 by 200= 42.5 Hope this helps!

Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example, 

2

2

3

5

).

Submit


Answers

Prime factorization is when the numbers are divided until they cannot be divided anymore.

For example, the number 18.

18/2 = 9

9/3 = 3

So the prime factorization is 2,3,3

As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²

3² x 2 should be your answer

hope this helps
Final answer:

The prime factorization of 18 is 2 x 3², dividing 18 first by 2 and then by 3 twice.

Explanation:

The prime factorization of a number represents that number written as the product of its prime factors. Let's take 18 as an example. First, we will find the smallest prime number that can divide 18, which is 2. When 18 is divided by 2, the quotient is 9. Then, we continue to divide 9 by the smallest possible prime number, which is 3. We can divide 9 by 3 two more times. Therefore, the prime factorization of 18 is 2 x 3², where 2 and 3 are the prime factors and ² is an exponent indicating that 3 is a factor twice.

Learn more about Prime Factorization here:

https://brainly.com/question/33295472

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What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HELP

Answers

it is d because I know it guys trust me it is easy.

Answer:

The sum of 8 terms of series is 959,780

D is correct

Step-by-step explanation:

Given: -4, 24, -144, ......

There are 8 terms.

We need to find the sum of 8 terms.

First term, a=-4

Common ratio, r=-6

[tex]a_n=-4\cdot(-6)^{n-1}[/tex]

Sum of 8 term

[tex]Sum=a_1+a_2+a_3+a_4+a_5+a_6+a_7+a_8[/tex]

[tex]Sum=\sum_{n=1}^{8}a_n[/tex]

[tex]Sum=-4+24-144+864-5184+31104-186624+1119744[/tex]

[tex]Sum=959,780[/tex]

Hence, The sum of 8 terms of series is 959,780

The probability of picking two black marbles from a box at random without replacement is 1091 . The probability of drawing a black marble first is 514 . What is the probability of picking a second black marble, given that the first marble picked was black?

Answers

The correct answer to the question above is 4/13. Below it shows how it's achieved...

EQUATION: 
P(A|B) = P(A ∩ B)
                 P(B)

Step 1: Identify 
P(B) = 5/14 
P(A ∩ B) = 10/91

Step 2: Insert into the equation and Solve
10/91 ÷ 5/14
Use reciprocal to divide
10/91 × 14/5 
Simplify the answer 
140/455
Simplified (Final Answer)
4/13 






Final answer:

The probability of picking a second black marble, given that the first marble picked was black, is 1.

Explanation:

To find the probability of picking a second black marble, given that the first marble picked was black, we can use the formula for conditional probability: P(A|B) = P(A and B)/P(B).

In this case, A represents the event of picking a black marble on the second draw, and B represents the event of picking a black marble on the first draw.

We are given that P(B) = 514, and the probability of picking two black marbles without replacement is 1091. Therefore, P(A and B) = P(A|B) * P(B) = (1091/514) * (514/1091) = 1.

So, the probability of picking a second black marble, given that the first marble picked was black, is 1.

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2). After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1). Are the two images similar? Justify your answer.
A) no; The transformation is not rigid; therefore, the quadrilaterals are not similar.
B) no; The transformation is a translation which only results in the size of the quadrilaterals being preserved.
C) yes; This is a rigid transformation which preserves angle measurement and size of the original quadrilateral.
D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.

Answers

The answer would be D) yes; The transformation is a dilation which results in similar quadrilaterals by preserving angle measurements.

The answer would be D) yes; The transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The original vertices of a quadrilateral are (-2,3), (4,6), (4,2), and (3, -2).

After a transformation, the new coordinates are (-1,1.5), (2,3),(2,1), and (1.5,-1).

As we know that dilation is a process for creating similar figures by changing the size.

This means that the two images are similar, as they have the same shape and size, despite having different positions and orientations in the coordinate plane.

Hence, the given transformation is a dilation that results in similar quadrilaterals by preserving angle measurements.

To learn more about the transformations click here :

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Find the distance d from (6.1, 5.9) to (-5.9, -4.1) .

A.
6.63
B.
15.62
C.
22.00
D.
244.00

Answers

distance formula:
√(x1-x2)^2+(y1-y2)^2

Answer:

your answer is B

Step-by-step explanation:

BRAINLIESTTT ASAP!

please answer

Answers

When you add the two angles together, they should equal 90 degrees (according to the square marker). So, all you have to do is add the two angles together, make them equal to 90, and solve for x.
2x+8+5x-2=90
7x+6=90
7x=84
x=12

Now, we substitute x and solve for the angles.
2x+8
2(12)+8
32 degrees

5x-2
5(12)-2
58 degrees

To double check our answer, we can add the two angles together and see if we get 90.
32+58=90 yes

Our answer is correct

Need help to write equations for 5, 6 & 7

Answers

7)
Read my note at the end of problem 5 in another post.
You already know this table represents an exponential function
since each y-coordinate is always the previous y-coordinate multiplied by 6.
That means b = 6, and you have
y = a(6)^x
Now we find "a". When x = 0, y = 5. That means a = 5.
The equation is

y = 5(6)^x

Find the surface area of the equilateral triangular pyramid.

Answers

area  = 3 * 1/2 * 10 * 12 + 1/2 * 12 * 8  =  180 + 48 = 228 answer
the answer is 228. hoped this helped

tan 49 = x/400
please solve

Answers

Tan 49 = x/400

Therefore, 400tan49 = x (simple algebra)

X = 460.147

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6th year, the tree was \frac{1}{5} taller than it was at the end of the 4th year. by how many feet did the height of the tree increase each year?

Answers

Let the height increase each year be x. If the initial height was 4 ft, then its height after 6 years would be 4 + 6x. This is 1/5 taller than its initial height, so
4 + 6x = 4(1 + 1/5)6x = 4/5x = 2/15 ft per year

Simplify the radical expression.
square root of 20
A. 2√10
B. 5√2
C. 2√5
D. 2

if anyone has the answers to the unit test let me know :)

Answers

The answer is c and in decimal form it would be 4.4727
[tex] \sqrt{20} = 2 \sqrt{5} [/tex]

Which of the following sets shows all the numbers from the set {2, 3, 4, 5} that are part of the solution to the inequality 4n + 6 > 22?

Answers

5 is the only number to satisfy the equation. If you were to plug in 2, 3, or 4, you'd get these results.

[tex]4(2) + 6 > 22 \\ 8 + 6 > 22 \\ 14 > 22 \\ \: which \: is \: not \: true[/tex]
[tex]4(3) + 6 > 22 \\ 12 + 6 > 22 \\ 18 > 22 \\ \: also \: not \: true[/tex]

Answer:

the answer is  

{2, 3, 4}

Step-by-step explanation:

if 5 is the only one that works and it has to be inequality  so  

{2, 3, 4} can be the only answer

helpppp! pls! 10 points

Answers

The product of the lengths of the parts of the chord is equal to the product of the lengths of the parts of the chord that divides it.

(7 cm)*(8 cm) = n*(4 cm)
(7*8 cm²)/(4 cm) = n
14 cm = n

[tex]n=\boxed{14}cm[/tex]

Claire has received scores of​ 85, 88,​ 87, and 80 on her algebra tests. what is the minimum score she must receive on the fifth test to have an overall test score average of at least 82 ​?

Answers

85+88+87+80+x/5=82

340+x=410

410-340=70

A man weighs 180 lb. He jogs a mile in 8 minutes. How many calories has he used up?

Answers

A man weighing 180 lb has burned approximately 100 calories by jogging one mile, based on the average estimate that jogging one mile burns almost 100 calories.

The question relates to the calculation of calories burned during exercise, specifically jogging. Based on the information provided that running or jogging one mile burns almost 100 calories, we can calculate the energy expenditure for a man weighing 180 lb who jogs a mile in 8 minutes.

Since the provided calories burned per mile is an average, the actual number might vary slightly based on individual metabolism and effort level, but it serves as a useful approximation.

To determine how many calories the man has used up, we can use the given information:

Running or jogging one mile burns almost 100 calories.The man jogs a mile, which means he has burned approximately 100 calories for that activity.

Therefore, the man has burned approximately 100 calories during his 8-minute mile jog.

Find the product. 4(−12)(−3) A) −144 B) −96 C) 144 D) 72

Answers

For this case we have the following expression:
 4 (-12) (- 3)
 Rewriting we have:
 We multiply 4 by -3:
 (-12) (- 12)
 We rewrite:
 (-1) (- 1) (12) (12)
 (1) (12) (12)
 (12) (12)
 144
 Answer:
 the product 4 (-12) (- 3) is:
 C) 144

What is the lateral area of the prism? Assume the figure is resting on its base.

Answers

check the picture below.

the lateral area, namely the area of the sides, as you see in the picture, is really just the area of 6 rectangles.

front and back, two rectangles of 5x25,

left and right, two rectangles of 2x25.

simply get the area of each and sum them up, that's the lateral area of the prism.

[tex]\bf \stackrel{\textit{front and back}}{2(5\cdot 25)}~~~~+~~~~\stackrel{\textit{left and right}}{2(2\cdot 25)}[/tex]
your answer is 250 l*h*w

What is the following quotient?

3^√60
------------
3^√20

Answers

Answer:

its 3√3 bud

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Lines b and c are parallel. What is the measure of <6?
m<6 = 45
m<6 = 54
m<6 = 117
m<6 = 126

Answers

Answer:

m<6 = 54

St,ep-by-step explanation:

Lines b and c are parallel.

13x +9 and 5x+9 are consecutive exterior angles.

Consecutive exterior angles are supplementary.

[tex]13x+9+5x+9= 180[/tex]

Now we solve for x. combine like terms

[tex]18x+18= 180[/tex]

Subtract 18 from both sides

[tex]18x=162[/tex]

Divide both sides by 18

x=9

So the value of x=9

angle 6 and 5x+9 are vertical opposite angles . they are equal

m<6= 5x+9

Plug in 9 for x

m<6= 5(9)+9=54

m<6 = 54

Answer:

m<6 = 54

Step-by-step explanation:

A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?

Answers

Answer: 196.8

Step-by-step explanation:

Start off by reading the problem.

A radio tower casts a shadow of 8.2 ft long and a 36-inches and a fourth-grader walking home cast a shadow of 1.5 inches. How tall is the radio tower?

Then take what you know from the problem and put it in a fraction looking thing:

like this:

1.5 8.2

__ = __

36 x

So after you've done this you will want to:

Multiply 36 x 8.2 = 295.2

take 295.2 then Divide by 1.5

=196.8

Answer:

196.8

Step-by-step explanation:

What is the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches?

A. 45 inches
B. 9 inches
C. 15 inches
D. 14 inches

Answers

We have to determine the length of segment CE if AE = 15 inches and ED = 5 inches and EB = 3 inches.

Since ,we can observe that AB and CD are chords intersecting at point E.

Therefore, by intersecting chord theorem which states:

" When two chords intersect each other inside a circle, the products of their segments are equal"

So, [tex] AE \times EB= CE \times ED [/tex]

[tex] 15 \times 3= CE \times 5 [/tex]

[tex] 45= CE \times 5 [/tex]

[tex] CE = \frac{45}{5} [/tex]

CE = 9 inches.

So, the measure of segment CE is 9 inches.

So, Option B is the correct answer.

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