Given the equation :
\(576\div8\)We will use estimation to find the value of the given expression
So, the best estimation for the number 576 is = 600
The best estimation for the number 8 is = 10
So, the given expression is approximately = 600 ÷ 10 = 60
===================================================================
We can calculate the error of the approximation as following :
The actual value is : 576 ÷ 8 = 72
So, the difference is = 72 - 60 = 12
so, the percentage of error will be :
\(\frac{12}{72}\cdot100=16.7\%\)
Select the correct answer. Which equation matches the function shown in the graph? A waveform on a coordinate plane starts from the y-axis at 1 unit and passes through (pi, minus 1), (2 pi, 1), and (3 pi, minus 1) and intercepts the x-axis at pi by 2, 3 pi by 2, 5 pi by 2, and 7 pi by 2.
The correct equation that matches the given graph is y = cos(x) + 1.
To determine the equation that matches the given graph, we can observe the key features and points provided.
The waveform starts from the y-axis at 1 unit: This suggests that the function has a vertical shift of 1 unit upwards.
The waveform passes through (π, -1), (2π, 1), and (3π, -1): This indicates that the function oscillates between the values of -1 and 1 as x increases.
The waveform intercepts the x-axis at π/2, 3π/2, 5π/2, and 7π/2: This suggests that the function has zeros or x-intercepts at these values.
Based on these observations, the function can be represented as a cosine function.
The cosine function with a vertical shift of 1, oscillating between -1 and 1, and having zeros at π/2, 3π/2, 5π/2, and 7π/2 is:
y = cos(x) + 1
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PLEASE PLEASE PLEASE HELPPPPPPPPPPPPP
Answer:
1) B
2) B
Step-by-step explanation:
1) funtion 1 slope is 4
function 2 we use y2-y1/x2-x1
10-6/3-1
4/2
2 is the slope of function 2
so function 1 is bigger
1) only b is correct because it lands on the same line of y=x
hopes this helps please mark brainliest
Which of the following pairs show(s) two congruent triangles?
O B only
OB and C only
O A, B, and C
O A and C only
Answer:
B only
Step-by-step explanation:
Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.
Therefore, only B is correct
The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.
Explanation:The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.
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please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
What is the rate of 3.5 hours:$10
Answer:
$2.85 per hour
Step-by-step explanation:
Answer:
I think the answer is 35 or are trying to find how much is in and hour
Question 1 of 5
The two best runners, Imani and Jack finished first and second. (20 points)
Extra Content
In each of the following sentences, exactly one comma is missing. Determine where the missing comma should be placed, and choose the correct answer.
A after best
B. after Jack
C. after first
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
what is comma ?In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.
explanation :
If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.
Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.
"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.
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Express 75 as a product of its prime factors write the prime factors in ascending order and give your answer in index form
Step-by-step explanation:
75 = 3 x 5 x 5 in prime factorization
Answer:
Step-by-step explanation:
3x5x5
let j, s, and k denote the propositions that jasmine, samir, and kanti attend, respectively. express the given conditions using logical connectives.
Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬).
j ∧ s ∧ ¬k
j - Jasmine attends
s - Samir attends
¬k - Kanti does not attend
∧ - Logical And operator
j ∧ s ∧ ¬k -
Jasmine (j) and Samir (s) will attend the event, while Kanti (k) will not. This can be expressed using the logical connective (∧) and its negation (¬). The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".The resulting statement is j ∧ s ∧ ¬k. This statement means that Jasmine and Samir will attend the event, but Kanti will not. This statement can be read as "Jasmine and Samir attend and Kanti does not attend".
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ANSWER FOR BRAINLIEST
Choose the appropriate descriptor for the term square centimeter .
mass
length
volume
area
Answer:
it's area the forth one
Step-by-step explanation:
...............
Solve each equation by factoring ⁉️NEED THESE ASAP ⁉️
Answer:
3.
a=-1
a=-2
5.
n=-6
n=-3
8.
n=-5
n=-3
Step-by-step explanation:
3. separate into probable cases
\(a + 2 = 0\\ a + 1 = 0\)
5.
\( {n}^{2} + 6n - 3n - 18 = 0 \\ \)
factor out n from the expression
factor out -3 from the expression
\(n \times (n + 6) - 3(n + 6) = 0\)
factor out n+6 from the equation
\((n + 6) \times (n - 3) = 0\)
separate into probable cases
\(n + 6 = 0\\ n - 3 = 0\)
solve the equations
\(n = - 6 \\ n = 3\)
8.
\(n ^{2} + 5n + 3n + 15 = 0\)
factor out n and 3 from the expression
\(n \times (n + 5) + 3(n + 5) = 0\)
factor out n+5
\((n + 5) \times (n + 3) = 0\)
separate into probable cases
\(n + 5 = 0 \\ n + 3 = 0\)
solve the equations
\(n = - 3 \\ n = - 3\)
write a complete sentence that makes an absolute comparison of the density of cattle in the two countries.
In the United States,
The number of cattle = 75.9million
The area = 3.797 million square miles
The formula for the density will be,
\(\frac{\text{The number of cattle}}{\text{Area}}\)Hence,
\(\frac{75.9\text{million}}{3.797million\text{ square miles}}=19.989465\text{ }per\text{ sq miles }\approx19.989\text{cattle per sq miles}\)In the Republica,
The number of cattle = 41.1 million
The area = 1.013 square miles
Hence, the density will be
\(\frac{41.1\text{million}}{1.013\text{million square miles}}=40.572557\text{ per sq miles}\approx40.573\text{cattle per sq miles}\)Therefore, we can conclude from the data that the population density of cattle in the Republica is higher than that of the United States.
Consider this equation.
cos(0) = 4/41
If 0 is an angle in quadrant IV, what is the value of sin(0)
Answer: sin(0) = 40.804/41
Step-by-step explanation:
I’m having trouble with these questions
11) The quadrant in which θ will: a ) quadrant IV b) quadrant III
12) The exact values for the trigonometric functions for angle θ of point (-12,-5) are :
Sin θ = -5/13 , Cos θ = - 12/13 ,Tan θ = 5/12
Cosine θ = -13/5, Sec θ =13/12 ,Cot θ =12/5
13) for Sin θ= -3/7 and θ being in quadrant III, Sec θ will be \(\frac{-7}{2\sqrt{10}}\)
In problem 11 (a) we know that in quadrant I (all are positive), in quadrant II (sin and cosine are positive), in quadrant III (tan and cot are positive) and in quadrant IV (sec and cos are positive). Since we provided sin θ and cot θ are both negative, they will be in quadrant IV. And for problem 11(b) It will be quadrant III as in that quadrant except for tan and cot, other trigonometric functions are negative which means they are less than 0.
In problem number 12 we make a perpendicular from the endpoint of the line to the x-axis, giving us a triangle, where we are provided with x(base) = -12 and y( perpendicular) =-5.
Using the Pythagoras theorem, we get
h² = p²+b²
h² = 25+ 144
h = 13
Here we have p= -5 , b=-12 and h= 13 , so we put those values in the respective formula for the trigonometric functions such as sin =p/h, cos =b/h, tan= p/b, where cosine, sec, and cot are the reciprocal of those functions.
For problem 13, we are given that sin θ = -3/ 7
As we know sin² θ + cos²θ =1
so, cos² θ = 1 - sin²θ
= 1-( -3/7)
cos theta = \(\frac{-2\sqrt{10} }{7}\) (as the θ is in II quadrant )
So, sec θ = 1/cos θ= \(\frac{-7}{2\sqrt{10}}\)
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At a basketball game, for every 2 baskets team A scored, team B scored 5 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is choices: 2 to 3, 2 to 5, 3 to 2, 5 to 2
The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.
In a basketball game, team B scored 5 baskets for every 2 that team A scored.
The utilization of two or more additional numbers that compares is known as the ratio.
Assume that Team A scored two baskets while Team B netted five.
The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:
Ratio = 2x : 5x
Ratio = 2: 5
Thus, the correct option is B.
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A zip wire runs between two posts, 25m apart. The zip wire is at an angle of 10 degrees to the horizontal. Calculate the length of the zip wire.
∘
to the horizontal. Calculate the length of the zip wire
The length of the zip wire, with a 10-degree angle to the horizontal and a distance of 25 meters between the posts, is approximately 25.35 meters.
To calculate the length of the zip wire, we can use trigonometry. Let's consider the triangle formed by the zip wire, where the horizontal distance between the two posts is 25 meters and the angle between the zip wire and the horizontal is 10 degrees.
Using trigonometric functions, we can determine the length of the zip wire. In this case, we'll use the sine function because we have the opposite side (the vertical distance) and we want to find the hypotenuse (the length of the zip wire).
The formula for sine is:
sin(angle) = opposite / hypotenuse
Rearranging the formula, we have:
hypotenuse = opposite / sin(angle)
In this case, the opposite side is the vertical distance, which is h.
So, the formula becomes:
hypotenuse = h / sin(angle)
To find h, we can use the formula for the length of the zip wire:
h = 25 * tan(angle)
Substituting this into the previous formula, we get:
hypotenuse = (25 * tan(angle)) / sin(angle)
Calculating the value, we have:
hypotenuse = (25 * tan(10°)) / sin(10°)
Using a calculator, we find:
tan(10°) ≈ 0.1763
sin(10°) ≈ 0.1736
Substituting these values, we can calculate the length of the zip wire:
hypotenuse ≈ (25 * 0.1763) / 0.1736 ≈ 25.35 meters
Therefore, the length of the zip wire is approximately 25.35 meters.
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Samantha's age is 3 years more than half her uncle's age. If her uncle's age is z years, which of the following expressions best shows Samantha's age?
Answer:
See below
Step-by-step explanation:
z = uncle's age
1/2z +3 = Sam's age
Question is in the picture, please explain your answer with steps.
Solving a system of equations we can see that the washer costs $750, and the dryer costs $250.
How to find the costs?Let's define the variables:
x = cost of the washer.
y = cost of the dryer.
We know that the cost combined is $1000, then:
x + y = 1000
And the washer cost 3 times the cost of the dryer, then we will get:
x = 3y
So we have a system of equations, we can replace the second equation into the first one, so we will get:
3y + y = 1000
4y = 1000
y = 1000/4
y = 250
The cost of the washer is:
x = 3*250 = 750
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Which expression is equivalent to 9(4+2x)?
Five people can finish painting a wall in 5 hours.if only 2 people are available,how many hours do they have to work to finish the same job?
Please look at the photo! Thank you.
The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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Write a sentence for 2(3+5n)=an
The sentence which represents the algebraic equation is; "Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
Which sentence represents the algebraic expression?It follows from the task content that the sentence which represents the equation given be determined.
First, the expression 3 + 5n can be interpreted as; the sum of 3 and 5 times a number, n.
Also, the expression "an" can be interpreted as the product of n and another number a.
Therefore, the whole equation; 2(3+5n)=an can be interpreted as;
"Twice the sum of 3 and and five times a number n is equal to the product of the number and another number, a".
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Write a function rule for the area A(h) of a parallelogram whose base is 3 units more than its height h.
A. A(h) = h2 + 3
B. A(h) = h2 + 3h
C. A(h) = h2 + 3h + 3
D. A(h) = h + 3h
===================================================
Work Shown:
height = h
base = h+3, since the base is 3 more than the height
area = base*height
area = h*(h+3)
area = h*h + h*3
area = h^2+3h
32% adults favor the use of unmanned drones by police agencies. Twelve u.s. adults are randomly selected. Find the probability that the number of u.s. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight
Answer:
C
Step-by-step explanation:
32% of 12 =
32/100 x 12
= 3.84
So, C would be the correct choice
I wasn't sure about my answer so used the Gauthmath App
HELP PLEASE!!
Explain the error in the following exercise;
then correct it.
Answer:
2/1x7/6=14/6=7/3
Step-by-step explanation:
Multiply the 2 by the 7 but Not the 6. So the second number is 14/6, not 14/12.
‘Then simplify 14/6 to 7/3
(b) 1 kilogram 2.2 pounds, express your answer from part (a) in pounds. Answer: lbs [2]
Answer:
37
Step-by-step explanation:
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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HELP !! It’s due in 30 minutes!!
Answer:
T< 11,3 > / a translation by 11 units to the right and 3 units up :]
Answer:
11 units to the right & 3 units down.
Higher Order Thinking Sarah and Jenny are running an hour-long endurance race. Sarah ran 2/6 hour before passing the baton to Jenny. Jenny ran 3/6hour, then passed the baton back to Sarah. What fraction of the hour does Sarah still need to run to complete the race?
Data:
As the race is an-hour ( 1 h), it is equal to a race of 6/6 hour
\(1=\frac{6}{6}\)Sarah ran 2/6 hour before passing the baton to Jenny:
Substract the fraction Sarah run from the total time of the race (6/6):
\(\frac{6}{6}-\frac{2}{6}=\frac{4}{6}\)After Sarah passed the baton to Jenny the first time it is left over 4/6 hour of the race.
Jenny ran 3/6hour, then passed the baton back to Sarah:
Substract 3/6 from the time left over (4/6):
\(\frac{4}{6}-\frac{3}{6}=\frac{1}{6}\)Then, after Jenny passed back the baton to Sarah it is left over 1/6 hou of the race.
Sarah needs to run for 1/6 hour to complete the raceSolve the system 3x-7y=-24 3x-7y=-18
Answer:
Step-by-step explanation:
Answer:
no solution
Step-by-step explanation:
took the test
can some help me figure this out
Answer:
e
Step-by-step explanation:
e