Answer:
[tex]cos^{4}[/tex] x
Step-by-step explanation:
Using the trigonometric identities
1 + tan²x = sec²x and 1 - sin²x = cos²x
secx = [tex]\frac{1}{cosx}[/tex]
Given
[tex]\frac{1-sin^2x}{1+tan^2x}[/tex]
= [tex]\frac{cos^2x}{sec^2x}[/tex]
= [tex]\frac{cos^2x}{\frac{1}{cos^2x} }[/tex]
= cos²x × cos²x
= [tex]cos^{4}[/tex] x
Evaluate x + y + z for x = 2, y=-3, z=-4
Answer:
-5 is the answer
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
You have to plug the numbers for each letter
2 + (-3) + (-4) / 2 - 3 - 4 = -5
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Can you explain this for me it im3 thank you
Answer: see graph (attached)
Step-by-step explanation:
This is 4 line segments on one graph.
Segment 1
y = -2 when x is between -2 and -1
including -2 (closed dot) excluding -1 (open dot)Segment 2
y = -1 when x is between -1 and 0
including -1 (closed dot) excluding 0 (open dot)Segment 3
y = 0 when x is between 0 and 1
including 0 (closed dot) excluding 1 (open dot)Segment 4
y = 1 when x is between 1 and 2
including 1 (closed dot) excluding 2 (open dot)See graph for each of the line segments plotted on the graph
SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8)° and m∠RST = (6x − 26)°, find x.
Answer:
x = 21
Step-by-step explanation:
Given that SV is the angle bisector of ∠RST, then
∠RSV = ∠TSV, thus
∠RSV + ∠TSV = ∠RST ← substitute values
2x + 8 + 2x + 8 = 6x - 26, that is
4x + 16 = 6x - 26 ( subtract 6x from both sides )
- 2x + 16 = - 26 ( subtract 16 from both sides )
- 2x = - 42 ( divide both sides by - 2 )
x = 21
A rectangular prism has a diagonal of 18.1 cm and its base has a diagonal of 16.2 cm.
What is the approximate height of the rectangular prism?
A. 1.9 cm
B. 8.1 cm
C. 19.9 cm
D. 24.3 cm
Answer:
B. 8,1 cm
Step-by-step explanation:
Take half of the diagonal:
[tex]16,2 \div 2 = 8,1[/tex]
I am joyous to assist you anytime.
8.1 cm. Half of the diagonal.
- Chilio
A dog is standing on a cliff 20 feet above sea level. A dolphin is swimming 6 feet below sea level. An octopus is moving along the seabed, 30 feet below sea level. What is the elevation of the dog, dolphin and octopus?
Plz help!!!!
Answer:
Dog: 20
Dolphin: -6
Octopus: -30
Step-by-step explanation:
The dog is at 20 because it is above sea level meaning it is above the zero, meaning it is plus +
The dolphin is at -6 because it is below sea level meaning it is below zero meaning its a negative -
The octopus is at -30 because it is below sea level meaning it is below zero meaning its a negative -
(Any Thing Below Zero is a Negative & Anything Above Zero is a Positive)
The elevation of the dog is 20 feet.
The elevation of the dolphin is -6 feet.
The elevation of the octopus is -30 feet.
Given,
A dog is standing on a cliff 20 feet above sea level.
A dolphin is swimming 6 feet below sea level.
An octopus is moving along the seabed, 30 feet below sea level.
We need to find out what is the elevation of the dog, dolphin, and octopus.
How do we describe elevation?When we measure the distance we always measure it from the sea level.
The distance measured below the sea level is always described as a negative value.
The distance measured above sea level is always described as a positive value.
We have,
A dog is standing on a cliff 20 feet above sea level.
This is above sea level so we can describe it as:
The elevation of the dog is 20 feet.
A dolphin is swimming 6 feet below sea level.
This is below sea level so we can describe it as:
The elevation of the dolphin is -6 feet.
An octopus is moving along the seabed, 30 feet below sea level.
This is below sea level so we can describe it as:
The elevation of the octopus is -30 feet.
Thus,
The elevation of the dog is 20 feet.
The elevation of the dolphin is -6 feet.
The elevation of the octopus is -30 feet.
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Whats
180,000+66. ; )
Answer:
I'm gonna take a wild guess and say 180,066 ;)
Answer:
180,066
Step-by-step explanation:
Simply add the two numbers. :) 180,000
+ 66
-------------
180,066
Round 9.843 to the nearest tenths
Answer: 9.8
Step-by-step explanation:
A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant.
a. Write an expression to show how to find the total number of oranges ordered.
b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.
c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.
Answer:
a)480
b)960
c)1440
Step-by-step explanation:
We are given the following information:
Number of oranges in a box = 24
a)Boxes ordered by Lee for his store = 8
Number of boxes ordered by Lee for his restaurant = 12
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]
b) Now Mr. Lee doubled his order for next week.
Boxes ordered by Lee for his store = 16
Number of boxes ordered by Lee for his restaurant = 24
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]
c) Total number of oranges ordered =
[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]
Therefore, total 1440 oranges were ordered by Mr. Lee.
- In your opinion, should Cromwell have treated
the rebels so harshly? (Explain with evidence)
Answer:
yes they were rebels
Step-by-step explanation:
respect is earned, if you act a certain way you will be treated like that
Cromwell's harsh treatment of rebels during the English Civil War can be seen as a pragmatic approach to maintain discipline and discourage uprisings, but also as excessively cruel and counterproductive, particularly in the case of his actions in Ireland. It's worth noting that historical judgments depend heavily on the values and perspectives applied to the past.
Explanation:Whether Oliver Cromwell should have treated the rebels so harshly during the English Civil War is a matter of perspective and is heavily debated among historians. Cromwell is known for his decisive, and yes, often harsh measures against those who rebelled against the Parliamentarian cause during the war. From a pragmatic viewpoint, one might argue that his harsh treatment of the rebels was necessary to maintain discipline and to discourage other potential uprisings. This included the crushing of the Levellers in the New Model Army and his later actions in Ireland.
However, there is also a compelling argument that his actions were excessively cruel and counterproductive to his stated goals. Numerous historical accounts indicate that his actions in Ireland, including the infamous massacre at Drogheda, served to perpetuate animosity towards English rule, contributing to centuries of tension and conflict.
The difficulty with questions like these is that they often involve value judgements. History, as a discipline, attempts to understand the past 'as it really was', acknowledging that people of the past operated according to different sets of values and contexts.
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Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
in one math class there are 30 students, 12 of them are "nontraditional" in terms of age . If you randomly pick one person from that class, what's the probability that he or she will be of nontraditional age
Answer:
the answer will be 12/30
On Monday, Ken spent half of his money on a new game. The next doy he earned $ 12 mowing lawns He now has $32. How much money did Ken hoy before bought the game ?
Answer: 40$
Step-by-step explanation: before the mowing 20$ if half is on the game before game would be 40
Answer:
He had $ 40 before bought the game.
Step-by-step explanation:
Let x be the original amount ( in dollars ) contained by Ken,
His spending on game = half of his money = [tex]\frac{x}{2}[/tex]
So, the remaining money = [tex]x-\frac{x}{2}[/tex] = [tex]\frac{x}{2}[/tex]
Now, his earning = $ 12,
Thus, final amount he has = remaining amount + earning
[tex]\frac{x}{2}+12[/tex]
According to the question,
[tex]\frac{x}{2}+12=32[/tex]
[tex]\frac{x}{12}=20[/tex]
[tex]\implies x= 40[/tex]
Hence, he had $ 40 before bought the game .
Hurry plz Im being timed!
The graph of a relation is shown. A coordinate plane with a straight line. The line starts in the lower-left quadrant and continues up through the uppercase right quadrant. The line passes through the y-axis slightly below the origin and then passes through the x-axis slightly to the right of the origin. Which of these values could be the slope of the line? Select two options.
-2
-8/5
0
7/4
3
Answer:
7/4 and 3
Step-by-step explanation:
Because all the other answers are a negative slope or undefined.
The graph shown is positive so the slope has to be positive.
Remember to press that Thanks button!
Answer:
The possible values of slope are 7/4 and 3.
Step-by-step explanation:
We need to find the possible values of slope of the given line.
The slope of an increasing line is positive.
The slope of a decreasing line is negative.
The slope of a vertical line is infinite.
The slope of a horizontal line is 0.
The given line is an increasing line because the value of y increases as x increases and vice versa.
So, the slope of given line must be positive.
Only 3 and 7/4 is positive.
Therefore, the possible values of slope are 7/4 and 3.
Simplify by combining like terms: 10x - 12y + 8 + 12y
the simplified expression is [tex]\( 10x + 8 \)[/tex].
To simplify the expression[tex]\( 10x - 12y + 8 + 12y \)[/tex] by combining like terms, follow these steps:
1. Combine the terms with the same variable:
[tex]\[ 10x - 12y + 8 + 12y \] \[ = (10x) + (-12y + 12y) + 8 \] \[ = 10x + 0y + 8 \] \[ = 10x + 8 \][/tex]
So, the simplified expression is [tex]\( 10x + 8 \)[/tex].
Simplify the expression -3/8 -1/10
The simplified expression is -11/40.
The expression -3/8 - 1/10 can be simplified by following these steps:
1. Find a common denominator for the two fractions. The smallest number that both 8 and 10 can divide into is 40.
2. Rewrite the fractions using the common denominator.
-3/8 = -15/40
-1/10 = -4/40
3. Subtract the rewritten fractions.
-15/40 - (-4/40) = -15/40 + 4/40 = -11/40
Therefore, the simplified expression is -11/40.
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The great factory makes 6,793 toys each day. It makes 257 more toys than the super toy factory. How many toys does the super toy factory make each day?
Final answer:
The super toy factory makes 6,536 toys each day, which is calculated by subtracting the 257 additional toys made by the great factory from its total production of 6,793 toys.
Explanation:
To determine how many toys the super toy factory makes each day, we need to subtract the number of additional toys made by the great factory from its total daily production. The great factory makes 6,793 toys each day and it makes 257 more toys than the super toy factory. So:
Number of toys made by the super toy factory = Number of toys made by the great factory - Extra toys made by the great factory
Number of toys made by the super toy factory = 6,793 - 257
After performing the subtraction:
Number of toys made by the super toy factory = 6,536
Therefore, the super toy factory makes 6,536 toys each day.
Question 1 of 10
2 Points
Use long division to find the quotient below.
(3x² - 5x-2) = (x-2)
A. 24-1
B. 3x-1
C. 2x+1
D.3x + 1
Answer:
3x+1
Step-by-step explanation:
Determine the product of -8 and -4.
0-12
12
0-32
32
Answer:
32
Step-by-step explanation:
Product= multiplication
8 multiplied by 4 equals 32
when two negatives are multiplying themselves, the answer is Positive.
-8 multiplied by -4 equals 32
Which of the following decimal numbers equals 4 thousands, 9 hundreds, 2 tens, and 6 ones?
4,926 is the answer since of the expanded form written, 4,000 + 900 + 20 + 6, but there is no decimal since nothing says tenths or hundredths or thousandths.
Hope this helped!
Nate
The decimal equivalent of 4 thousands, 9 hundreds, 2 tens, and 6 ones is 4926. This is calculated by adding the value of each quantity: 4000 (from the 4 thousands), 900 (from the 9 hundreds), 20 (from the 2 tens), and 6 (from the 6 ones)
Explanation:The question is asking for the decimal equivalent of the quantity represented by 4 thousands, 9 hundreds, 2 tens, and 6 ones. To determine the answer, you would simply total the value of each quantity: 4 thousands equals 4000, 9 hundreds equals 900, 2 tens equals 20, and 6 ones equals 6. When you add these values together (4000 + 900 + 20 + 6), you get the total value of 4926 which is the decimal equivalent that we are looking for.
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Can anyone help me with this question please.(12points)
Answer:
8(8 + 7 + 5)
8(7 + 5)
40 + 56
15 + 13
(8 - 7) + (8 - 5)
Step-by-step explanation:
8 (64 + 56 + 40)
8(56 + 40)
96
28
1 + 3
2,3,5,7,11,13 find the next 5 numbers
Answer:
15,17,19,21,23
Step-by-step explanation:
It goes up by 2
What decimal is equal 35%
Answer: 0.35
Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left. Therefore, 82 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
35% can be written as the decimal 0.35.
The decimal equivalent of 35% is 0.35 .
Given,
35%
Now,
To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100. We can think of 35% as the ratio 35 to 100 or 35 ÷ 100. Remember that dividing by 100 moves the decimal point 2 places to the left.
Therefore, 35 ÷ 100 would move the decimal point 2 places to the left which would give us .35 or 0.35.
Hence,
35% can be written as the decimal 0.35.
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With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hours. How long would it take to fill the pool if both hoses were used simultaneously?
1/9 + 1/2 = 1/x
Let x = length of time it will take both hoses to work together
Multiply both sides by 18x.
2x + 9x = 18
10x = 18
x = 18/10
x = 9/5
x = 1.8 hours
In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.
what is the answer to -52 + 8|-1| + (-3)
Answer:
the answer is is -47
Step-by-step explanation:
First take the 8|-1|
anything between the lines is turned positive. therefore it simplifies to just 8 * 1
so, now we have -52 + 8 + (-3)
-52 + 8= -44
-44+(-3)=-47
hope this helps you! ^^
15. Explain how you can calculate each square
root mentally.
a) 31 x 31
b) 431 X 431
c) 17 squared
d) 432 squared
Final answer:
Mentally calculating square roots for perfect squares like 31 x 31 or 17 squared is identifying the number that was squared, for instance, 31 or 17 respectively. Larger numbers may require a calculator.
Explanation:
The question is asking how to mentally calculate the square roots of certain numbers. For perfect squares, such as 31 x 31 or 17 squared (which is 17 x 17), the process is straightforward because the square root of a perfect square is the number that was squared.
For instance, the square root of 31 x 31 is 31, and the square root of 17 squared is 17. However, for large numbers like 431 x 431 or 432 squared, while they are also perfect squares, mental calculation might be impractical due to their magnitude, and a calculator would typically be used.
What are the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center ?? What's the answer??
A) (6, 18)
B) (3, 2/3)
C) (2/3, 3)
D) (18, 6)what is the answer
Answer:
D
Step-by-step explanation:
After dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have an angle PQR is dilated by a scale factor of 3 using the origin as the centre.
Here the point P is not given, so we are assuming the point P is (6, 2)
After dilated by a scale factor of 3 using the origin as the centre:
P' = (6×3, 2×3)
P' = (18, 6)
Thus, after dilated by a scale factor of 3 using the origin as the centre the point P(6, 2) become P'(18, 6) option (D) is correct.
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If f(x) = 1/x+1 and g(x) = x^2, what does f(g(-1)) equal?
A. -1
B. -1/2
C. 0
D. 1/2
E. 1
Answer:
D: f(g(-1)) = 1/2
Step-by-step explanation:
f(x) = 1/(x + 1)
g(x) = x²
g(-1) = 1
f(g(-1)) = 1/(1 + 1)
f(g(-1)) = 1/2
What is -6 + 5a - 6a - 10 - 4a simplified
Answer:
-5a -16
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
=5a -6a -4a -10 -6
= -5a -16
Answer:
-16 - 5a
Step-by-step explanation:
-6 + 5a - 6a - 10 - 4a
= -6 - 10 = -(6 + 10)
= -16
= -16 + 5a - 6a - 4a
= 5a - 6a - 4a
= (5 - 6 - 4)a
= -5a
= -16 - 5a
Identify the written form of this number 4,812,000
Answer: Four million eight hundred twelve thousand
Hope this helps you!
Answer:
four million eight hundred and twelve thousand
Step-by-step explanation:
I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I
The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.
The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.