Answer:
8 and -16...............
| x + 4 | = 12 <=> x + 4 = 12 hoặc -x - 4 = 12 <=> x = 8 hoặc x = -16
which expression is equivalent to 2cos2(x/2)-cos(x)
The expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
We can use the double angle identity for cosine, which states that:
cos(2θ) = 2cos²(θ) - 1
To simplify given expression expression by putting cos(x) = 2cos²(x/2) - 1 as follows:
= 2cos²(x/2) - cos(x)
= 2cos²(x/2) - 2cos²(x/2) + 1 (using the identity cos(2θ) = 2cos²(θ) - 1)
= 1
Therefore, the expression that is equivalent to 2cos²(x/2) - cos(x) is 1.
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mn/6 + 10; use m = 7, and n = 6
Answer:
2.62500
Step-by-step explanation:
just use a calculator
The value of the expression mn/6 + 10 at m = 7 and n = 6 is 17.
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as follows,
mn/6 + 10
Its value can be found at m = 7 and n = 6 as follows,
mn/6 + 10
= (7 × 6)/6 + 10
= 7 + 10
= 17
Hence, the value of the given expression at m = 7 and n = 6 is 17.
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Q2) The graph shows the speed of a firework shell during a flight of 20 seconds:
250
200
150
(s/u) paads
100
50
O
2
4
6
8
10
12
14
16
18
20
Time (s)
a) Work out the rate of change during the first 4 seconds.
b) Work out the rate of change between 8 seconds and 12 seconds.
Answer:
a. 37.5
b. 25
Step-by-step explanation:
a. Rate of change the first 4 seconds can be calculated using the points (0, 0) and (4, 150):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{150 - 0}{4 - 0} = \frac{150}{4} = 37.5 [/tex]
b. Rate of change between 8 seconds and 12 seconds using the points (8, 150) and (12, 250):
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{250 - 150}{12 - 8} = \frac{100}{4} = 25 [/tex]
Seth family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.
Answer:
55 mph
Step-by-step explanation:
The family would have to drive an average of 55 mph. You find this by dividing 220 miles total by the 4 hour time allotment. ;)
36 - 7 (8+6-9) what is the answer to this question
Answer:
The answer is 1.
Step-by-step explanation:
=36 - 7 (8+6-9)
=36-56-42+63
=-20-42=-62+63
=1
Answer:
36-7(8+6-9)
29(5)
145
Karen tiene $ 25 en su cuenta de ahorros. Si ahorra $ 15 cada semana, ¿cuánto dinero tendrá en su cuenta después de 9 semanas?
Answer:
$160
Step-by-step explanation:
1 5
× 9
-----------------
1 4
1 3 5
135+25
=160
It’s the red one but tell me why plz now hurry 4 min left
Answer:
you can plug in x to find y then use them as coordinates to find your answer.
Step-by-step explanation:
ex:
y=((1)-4)^2-3
y= (-3)^2-3
y=9-3
y=6
so then check to see if (1,6) is a point in that line.
Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n
Answer:
The Answer is B. 2-5n
Step-by-step explanation:
Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n
Then combine like terms which are +3n and -8n which leaves you with -5n
WILL MARK YOU BRAINLIEST!!!!!
Answer: rotation can be expressed as the composition of two reflections. A composition of reflections over two parallel lines is equivalent to a translation. Example: Given a || b, and pre-image ΔABC, where parallel lines are vertical. The composition of reflections over two intersecting lines is equivalent to a rotation. A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines). i hope this helps.
Step-by-step explanation:
Courtney needs to go to the library, the doctor's office, and her friend's house. How many different ways can she make the stops?
Find the slope of the line graphed below.
Answer:
slope = 5/3
Step-by-step explanation:
(in case you need it in intercept form)
y = 5/3 + 1
cuanto es la Raiz cuadrada de 12
The square root of 12 is approximately 3.4641.
The square root of 12 is an irrational number, meaning it cannot be expressed as a fraction or terminating decimal. However, we can approximate its value.
To approximate the square root of 12, we can use a calculator or perform an estimation. The square root of 12 is approximately 3.4641.
When we multiply 3.4641 by itself (3.4641 * 3.4641), we get a value very close to 12, but not exactly 12 due to the irrational nature of the square root.
The square root of 12 represents a number that, when multiplied by itself, equals 12. It is a non-repeating, non-terminating decimal that goes on infinitely. The approximation 3.4641 is commonly used to represent the square root of 12 in practical calculations.
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English translation of question is below
What is the square root of 12?
Two radio stations are playing the #1 hit song "2 Nice 2 B True" by Anita and the Goody-2-Shoes. WMTH plays the song every 12 minutes. WMSU plays the song every 8 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?
Answer:
03:24 PM
Step-by-step explanation:
Given
[tex]Start\ Time = 3:00PM[/tex]
WMTH = Every 12 minutes
WMSU = Every 8 minutes
Required
Determine when they both play the song
To do this, we simply solve for the LCM of 8 and 12
List the factors of 8 and 12
[tex]8 : 8, 16, 24...[/tex]
[tex]12: 12, 24, 36...[/tex]
From the above, the least common multiple is 24
This means that the song will be played on both stations 24 minutes after 3:00PM
In other words, 03:24 PM
Help please it’s needed
Answer:
The reasonings I provided are just examples (they are true, though!). Hope this helps!
ANSWER ASAP PLS
There are 21 boys and 6 girls in Mr. Sams homeroom. What is the ratio of girls to boys? (in simplest form)
ill make u brainliest
Answer:
21/6 can be divided by 3, so 7/2
7/2 cannot be divided into any more shared factors, so final answer is 7:2.
Need answers ASAP 15 points!
Answer:
Step-by-step explanation:
Part A: 5/26
Part B: 5/26+ 1/2 which is 18/26 or 9/13
Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.
Expand and simplify
5 (4a+3b)+ 3 (a-b)
Step-by-step explanation:
20 a + I 5 b + 3a - 3b
23 a + 12b
Amina has 6 ¾ L of juice that she wants to pour into ¾ L containers. What is the number of containers that she can fill?
Answer:
She can fill 9 containers
Step-by-step explanation:
you do 6 3/4 dived by 3/4 and you get 9
Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)
Answer:
Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here
AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.
What is a parallelogram?'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'
According to the given problem,
ABCD is a parallelogram.
We know,
BC ║ AD and BC ≅ AD
From, the properties of a parallelogram,
∠CBD = ∠ADB
∠BCA = ∠DAC
We know, two lines are parallel and alternate interior angles of the parallelogram are equal.
Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)
Therefore, AE ≅ CE ( The properties of congruent triangles )
BE ≅ DE ( The properties of congruent triangles )
Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.
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Plz helppp
1 7/9 divided by 4/5
* In the lowest terms*
(NO DECIMAL ANSWERS)
Answer:
2 2/9
Hope this helps!
The function h(x) is graphed on the coordinate plane provided. Determine the statements that are true about the function h(x). Select the two correct answers. The slope is -2. The slope is 1/2. The y-intercept is 1/2. The y-intercept is -4 . The x-intercept is 4.
Answer:
so you will need the slope is 1/2 and the y intercept is -4
Step-by-step explanation:
just find the y coordinate and find where the line on the graph is located to find the intercept then the slope is just where and how much the graph moves to for example if the graph goes right 2 times it goes up once so that means that it is true
There were 56 birdhouses at school. Today, 4 classes made more birdhouses. Each class
made 8 birdhouses. How many total birdhouses are there now?
2. Mr. Dent had 32 markers in his classroom. He buys new boxes of markers that have 9
markers in each box. Now, he has 86 markers. How many new boxes did he buy?
3. Jayson had 274 postcards in his collection. He wanted to give Sam some of his postcards.
Jayson gave Sam 8 postcards from each set below:
• Arts
• Sports
• Schools
• Parks
• Beaches
• Sunsets
How many postcards does Jayson have left?
Answer:
88 birdhouses
6 new boxes
226 postcards
Answer:
1. 88
2. 6
that's all, and when you do problems like this later, don't forget the order of operations!
find the slope of the line going through the points (10,8) and (8,36) enter your answer in simplest form
Answer:
-14x
Step-by-step explanation:
(y2-y1)/ (x2-x1)
(36-8)/(8-10) = 28/-2 = -14
An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?
Answer:
The measures of the other interior angles are 15° and 105°
Step-by-step explanation:
The given parameter of the measures of the interior angles of the triangle are;
The measure of one of the interior angle of the triangle = 60°
The ratio of the measure of the other interior angles = 1 : 7
Let the x represent one of the other interior angles and y represent the third interior angle, we have;
x + y = 180 - 60 = 120
x : y = 1 : 7
x = 1 part of 8 parts of 120°
y = 7 parts of 8 parts of 120°
Therefore;
x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°
x = 15°
y = 7/(1 + 7) = 7/8 × 120° = 105°
y = 105°
The measures of the other interior angles are 15° and 105°.
PLEASE HELP!!!
Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29
The dividend is 5 1/6
The divisor is 5 1/6
The dividend is second number in this equation.
The quotient is correct.
Answer:
2.137931034
Step-by-step explanation:
Just divide it using a calculator, although I don't know how to convert it into a fraction. Sorry!
3. Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bil total after applying the discount of 35%?
Answer:
43.575
Step-by-step explanation:
124.50×.35=43.575
The horizontal axis in the sampling distribution of ModifyingAbove p with caret represents all possible sample proportions from a simple random sample of size n. Bold (a )What percent of sample proportions results in a 90% confidence interval that includes the population proportion? Bold (b )What percent of sample proportions results in a 90% confidence interval that does not include the population proportion?
Complete Question
The horizontal axis in the sampling distribution of [tex]\^p[/tex] represents all possible sample proportions from a simple random sample of size n.
a. What percent of sample proportions results in a 90% confidence interval that includes the population proportion?
b. What percent of sample proportions results in a 90% confidence interval that does not include the population proportion?
Answer:
a
90% of all possible sample proportions
b
(100% - 90% = 10% ) of all possible sample proportions
Step-by-step explanation:
Generally given from the question that the horizontal axis of a represent all possible sample proportion then then the percent of the sample proportion that result in 90% interval that includes the population proportion is 90% of all possible sample proportions
Generally given from the question that the horizontal axis of a represent all possible sample proportion then the percent of the sample proportion that result in 90% interval that does not include the population proportion is (100% - 90% = 10% ) of all possible sample proportions
Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?
a) Write a let statement below to define your variable(s):
b) Set up an equation using the variable you defined in (a):
c) Solve your equation & Check. How many fish does Ms. Montesinos have? JUST TYPE THE NUMBER. EXAMPLE: IF SHE HAS 17 FISH JUST TYPE "17"
d) Upload a picture of your SOLUTION & CHECK.
plz help me plzz
Answer:
Ms. Montesinos has 5 fish in her tank
Step-by-step explanation:
a) Let y = the amount of fish Ms. Montesinos
b) 3y-2=13
c)
3y-2+=13+2
3y/3=15/3
y=5
10. Solve for A, rounding to the nearest degree:
tan A = 1.456
simplify this expression: 11k - 3 + 4k + 8
Answer:
15k+5
Step-by-step explanation:
11k-3+4k+8
=(11k+4k) (-3+8)
=15k+5
Answer:
5(3k+1)
Step-by-step explanation:
11k-3+4k+8 collect like terms calculate
15k+5 factor the expression
5(3k+1) or 15k+5