Answer:
the area would be "4x2+9+12x"
sorry if this doesn't help :(
Step-by-step explanation:
Answer:
Answer given in the photo
1. Find the value of x
x°
117°
66°
Answer:
1. 1
1. 13π.
--
20
explain:
1. 1 because any any non-zero expression raised to the power of 0 equals 1
13π.
2. --. because to convert into radian measure multiply by. π
20. ----
180°
Find the volume of rectangular pyramid 5in 5 in 2 in
Answer:
16.67
Step-by-step explanation:
formula for a rectangular pyramid =
lengthxwidth= base area x height/3
2x5=10x5=50
50/3=16.67
Select the ordered pair that is NOT marked on the coordinate plane.
An ordered pair that is not marked on the coordinate plane of this graph is (8, 0).
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which represent the x-coordinate (x-axis) and y-coordinate (y-axis) respectively.
What is an ordered pair?An ordered pair can be defined as a pair of two (2) data points that are commonly written in a fixed order within parentheses as (x, y), in order to represent the x-coordinate or x-axis (abscissa) and the y-coordinate or y-axis (ordinate) on the coordinate plane of any graph.
By critically observing the given graph, we can reasonably and logically deduce that data point (8, 0) is the missing ordered pair on the coordinate plane.
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Please help.. really need help
Answer:
3500=3.5
500=.5
1=.001
x is not shown on there.
The Mariana trench is the deepest part of the ocean (39,069 feet). How do the conditions there compare to your bathtub
The conditions at the bottom of the Mariana Trench are vastly different from those in a typical bathtub. The water pressure at that depth is extreme, with over 8 tons of pressure per square inch. In contrast, the water pressure in a bathtub is negligible. Additionally, the water in the Mariana Trench is near freezing, while the water in a bathtub is typically warm or hot. Overall, the conditions in the Mariana Trench are incredibly harsh and inhospitable, making it one of the most extreme environments on Earth.
The Mariana Trench is the deepest part of the ocean at 39,069 feet. The conditions there differ significantly from those in your bathtub. In the Mariana Trench, the water pressure is incredibly high, reaching over 1,000 atmospheres. The temperature is near freezing, ranging from 34-39°F (1-4°C). In contrast, the conditions in your bathtub usually involve much shallower water, lower pressure, and warmer temperatures for a comfortable bathing experience.
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to find the height of a pole, a surveyor moves 150 feet away from The base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pool to be 42°. To the nearest foot, what is the height of the pole?
ANSWER :
139 feet
EXPLANATION :
The surveyor is 150 feet away from the base of the pole.
The transit is 4 feet tall and the angle of elevation to the top of the pole is 42 degrees.
The illustration will be :
We have a right triangle with an angle of 42 degrees.
The side opposite to the angle is x and the side adjacent to the angle is 150
Using Tangent function :
\(\begin{gathered} \tan\theta=\frac{\text{ opposite}}{\text{ adjacent}} \\ \\ \tan42=\frac{x}{150} \\ x=150\tan42 \\ x=135.06\sim135\text{ ft} \end{gathered}\)The height of the pole is x + 4
That will be 135 + 4 = 139 ft
Given the absolute value function j(x) = |x|, what's the equation that results from translating j(x) right 8 units and up 6 units? Question 9 options: A) j(x) = |x – 8| + 6 B) j(x) = |x + 8| – 6 C) j(x) = |x – 6| + 8 D) j(x) = |x + 8| + 6
The equation that results from translating (j(x) = |x| right 8 units and up 6 units is:
j(x) = |x - 8| + 6
To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.
The translation right 8 units means we need to replace x with (x - 8).
The translation up 6 units means we need to add 6 to the entire expression.
So the equation that results from translating (j(x) = |x| right 8 units and up 6 units is:
j(x) = |x - 8| + 6
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What is the volume of the triangular prism below? A.180 B.18 C.30 D.22.5
Answer:
30 centimetres cubed
Step-by-step explanation:
hope it helps you if you have any other question ask me it'll be a pleasure to help you good day.
Please Help!!! ASAP!
Identify an equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19). Please show your work to get full credit!
An equation in standard form for a hyperbola with center (0, 0), vertex (0, 17), and focus (0, 19) is:
\(\boxed{\dfrac{\sf y^2}{\sf 172} - \dfrac{\sf x^2}{(\sf 6\sqrt{2} )^\sf 2} = \sf 1}}\)
How to find the equation of a hyperbola?We are given that the hyperbola has:
Center (0, 0), Vertex (0, 17) and Focus (0, 19)The general form of equation of the given hyperbola has a form of:
\(\sf \dfrac{y^2}{a^2} - \dfrac{x^2}{b^2} = 1\)
Where:
±a is the y - coordinates of the vertices of the parabola (or y-intercepts).
b determines the asymptotes of the hyperbola in the equation y = ± (a / b)x.
From the vertex coordinates of (0.17), we have that; a = ± 17.
From the focus coordinates (0, 19), the y-coordinate of it is; c = 19.
b can be found from Pythagorean theorem:
\(\sf c^2 = a^2 + b^2\)
Thus:
\(\sf 192 = 172 + b^2\)
\(\sf b^2 = 192 - 172\)
\(\sf b^2 = 361 - 289\)
\(\sf b = \sqrt{72} =6\sqrt{2}\)
The equation of the hyperbola is:
\({\dfrac{\sf y^2}{\sf 172} - \dfrac{\sf x^2}{(\sf 6\sqrt{2} )^\sf 2} = \sf 1}}\)
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A line goes through the point (−2,−10). If the slope of the line is undefined, then what is the equation of the line?
Answer:
x = -2
Step-by-step explanation:
all lines which have an undefined slope are completely vertical
a vertical line with the point (-2,-10) crosses the x-axis at -2 and have no y-intercept
4/4
3) Doug entered a canoe race. He rowed 3½ miles in 1/3 hour. What is the unit rate of his
speed in miles per hour?
m/hr
Using mathematical operations, we know that the unit rate of Doug's speed in miles per hour is 21/2 miles per hour.
What are mathematical operations?A mathematical action is called an operation.
PEMDAS stands for Parentheses, Exponents, Multiplication, Division, and Addition Subtraction (from left to right).
So, we know that:
Doug rowed 3½ miles in 1/3 hour.
Now, to find the unit rate of speed in miles per hour is:
3½ miles in 1/3 hours
x miles in 1 hour will be:
3½ * 3
6+1/2 * 3
7/2 * 3
21/2 in 1 hour
Therefore, using mathematical operations, we know that the unit rate of Doug's speed in miles per hour is 21/2 miles per hour.
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Which of the following statements about hypothesis testing is true? Selcct one: a. If we reject the null hypothesis then the null hypothesis could not possibly be true b. None of the others c. If the test statistic is more extreme than the p-value then we reject the null hypothesas a. If we do not reject the nall hypotheses then the null hypothesis is definitely true; e. α is the chance that we do not reject the null typothesis when the null hypothesa is fake
The true statement about hypothesis testing is that option "c. If the test statistic is more extreme than the p-value, then we reject the null hypothesis."
In hypothesis testing, we evaluate whether there is enough evidence to support rejecting the null hypothesis in favor of the alternative hypothesis. The test statistic measures the strength of the evidence against the null hypothesis. The p-value, on the other hand, represents the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true.
If the test statistic is more extreme than the p-value, it means that the evidence against the null hypothesis is strong. In such cases, we reject the null hypothesis because the observed data is unlikely to occur under the assumption that the null hypothesis is true. This leads us to accept the alternative hypothesis instead.
It is important to note that hypothesis testing does not prove or disprove the truth of the null hypothesis or alternative hypothesis definitively. Instead, it provides statistical evidence to support one hypothesis over the other based on the observed data and the chosen significance level (alpha). The significance level (alpha) determines the threshold at which we consider the evidence strong enough to reject the null hypothesis.
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Choose three structures that support digestion in the small intestine.
liver
pancreas
thyroid
gall bladder
saliva glands
Three structures that support digestion in the small intestine are the liver, pancreas, and gallbladder.
The liver plays a crucial role in digestion by producing bile, which is stored in the gallbladder and released into the small intestine. Bile helps in the breakdown and absorption of fats. The pancreas also plays a vital role in digestion. It produces digestive enzymes, including amylase, lipase, and proteases, which are released into the small intestine. These enzymes help break down carbohydrates, fats, and proteins, respectively.
The gallbladder stores and concentrates bile produced by the liver. When needed, it releases bile into the small intestine to aid in the digestion and absorption of fats.
The thyroid and saliva glands do not directly support digestion in the small intestine and have different functions in the body. The thyroid regulates metabolism, while saliva glands produce saliva, which aids in the initial breakdown of food in the mouth.
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A rectangle is inscribed in a parabola y^2 = 16x with the side of the rectangle along the latus rectum of the parabola. If the area of the rectangle is maximized, compute its perimeter.
a. 24.63
b. 13.69
c. 14.57
d. 20.69
The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.
To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.
The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).
To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.
Comparing the two equations, we get:
4a = 16
a = 4
Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.
Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.
Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.
Substituting x = 8 into the equation of the parabola, we get:
\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)
Therefore, the width of the rectangle is approximately 11.31 units.
The perimeter of the rectangle is given by the formula:
Perimeter = 2(length + width)
Plugging in the values, we have:
Perimeter = 2(16 + 11.31)
Perimeter ≈ 2(27.31)
Perimeter ≈ 54.62
Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.
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Alinea Slope Of 10/3 and y "-intercept" of 10. What is its equation in slope "-intercept" form?
Answer:
y=10/3x + 10
Step-by-step explanation:
y = mx + b
m is the slope, b is the intercept
Help!! I suck at math and I’m failing
Answer:
It's very difficult
maby
PLS HELP ASAP FEJKRKJGR My bad dont mind the blue bubble
Answer:
10
Step-by-step explanation:
yellow
6+6+3=15
so
for green
4+4+2=10
help math!!
------------------
Answer:
your answer is 5.............
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The Correct choice is :
E. 13Solution is in attachment ~
Predict the number of times you roll an odd number or a two when you roll a six-sided number cube 300 times.
Answer:
The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times
Step-by-step explanation:
Answer: 400 TIMES
Step-by-step explanation:
1/6 +1/2
4/6
2/3
2. What are the vertical asymptotes of y=5tan(0.1x)? On Exploration 4.3.3, what is a vertical asymptote for Question 2?A. x=10πB. x=π/10C. x=π/5D. x=0E. x=π/2F. x=5π
the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
What is Asymptοtes?Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.
Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.
The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.
the vertical asymptοtes οf y = 5tan(0.1x) are given by:
x = (2n+1)π/2*10, where n is an integer.
Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:
\(y = (x^2 - 5x + 6)/(x^2 - 9)\)
Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.
Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.
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what is the reference angle of 1062 degrees
Identify the characters of series below. nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n A) I Convergent, II Divergent, III Convergent B) I Convergent, Il Convergent, III Divergent C) I Convergent, II Convergent, III Convergent D) I Divergent, Il Divergent, III Divergent E) I Divergent, II Divergent, III Convergent
Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.
The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.
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GEOMETRYY . I WILL GIVE BRAINLIEST
Answer:
The x=2 is the correct option.
Step-by-step explanation:
when we have 4x which means 4*x +4 so the side seems small when we multipy and add we get the smaller number as.. 12 but, other number take so big...
someone please help me, I will give brainliest
find the indicated side of the triangle
Answer:
28√2
Step-by-step explanation: i promise its the answer.
Answer:
28
Step-by-step explanation:
Its the top part for the number
What is the solution to 1/2 |x| = -3?
Answer: 1/2 |x| = -3?
Step-by-step explanation:
(PLEASE HELP ITS TIMED SLRGSRPGSRJMP;SXR)
Marie can find the volume of a cube by using the formula V = s ³, where s represents the side length of the cube. If Marie’s cube has a side length of 2 and 1/2 centimeters, what is the volume of her cube? Show your work. Write your answer as a fraction AND a decimal.
Answer:
8 x 4(7x) x^9
Step-by-step explanation
JUST TAKE THE ANSWER FSBXNFDCDWRGTCHVBHGFDCCFVGHGFVC VBHYREWSZEDXCFGTGVBHJUKJMK
use the venn diagram to compare and contrast the definitions of the linnaean class answers
The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.
By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.
The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.
First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.
Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.
Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.
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In this part, you will prove that7k+1−1is divisible by 6 . By inductive hypothesis, since 6 evenly divides integermsuch that=6 m. Hence,7k=It follows that,7k+1−1=7Sincemis an integer and integers are closed under , there exists an Sincemis an integer a must be an integer. Therefore,7k+1−1is divisible by 6 .
7k+1−1 is divisible by 6 by using inductive hypothesis by putting different values on k.
To prove 7k+1-1 is divisible by 6 for all non-negative integers k we need to follow these steps
By using mathematical induction we need to proof the base case is true. When k=0, we have
7k+1-1 = 7^0+1-1 = 1
1 is divisible by 6 as = 6*0 + 1. Therefore, the base case is true.
Now, lets assume that 7k+1-1 is divisible by 6 for some non-negative integer k.
We will use the assumption to prove that 7(k+1)+1-1 is also divisible by 6.
We have:
7(k+1)+1-1 = 7k+7+1-1 = 7(7k+1)-6
By the inductive hypothesis, 7k+1-1 is divisible by 6, so we can write:
7k+1-1 = 6m
where m is an integer.
Putting these values into the previous equation, we get:
7(k+1)+1-1 = 7(6m+1)-6 = 42m+1
42m+1 is divisible by 6, as 42m+1 = 6(7m)+1.
Therefore, 7k+1-1 is divisible by 6 for some non-negative integer k, then 7(k+1)+1-1 is also divisible by 6.
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a rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 400 feet of fencing is used. find the dimensions of the playground that maximize the total enclosed area
The dimensions of the playground that maximize the total enclosed area is 100 feet.
Let,
L= length of entire playground
W = width of entire playground
Assume the dividing fence is parallel to the width.
Total fencing required
2L + 3W = 400
L= (400 − 3W)2
Area of entire playground,
A= L × W
= (400−3W)/2⋅W
= −3/2W^2 + 200W
Maximum area will occur at a point where the derivative of the area is equal to zero.
dA/dW = −3W+ 200 = 0
W = 66 2/3
Substituting 91 1/3 for W in 2L + 3W = 400
gives
2L = 200
L = 100
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The track team has 11 distance runners but can only enter five in the meet. How many combinations of five runners can the coach create?.
Answer:
55
Step-by-step explanation:
11 x 5 = total combinations
11 x 5 = 55