Answer:
x ≈ 9.5
Step-by-step explanation:
using the cosine ratio in the right triangle
cos19° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{10}\) ( multiply both sides by 10 )
10 × cos19° = x , then
x ≈ 9.5 ( to the nearest tenth )
S=(1,2,3,4,5,6); A=(1,2,3,4); B= (3,4,5) c = (6). Solve P (A U C)
Finding the union of the sets A and C is the first step in solving P(A U C). Since set C only contains the number 6, the union of A and C has the elements 1, 2, 3, 4, and 6. A U C thus equals 1, 2, 3, 4, and 6.
The power set of A U C, which comprises all conceivable subsets of 1, 2, 3, 4, and 6, must then be located. If all conceivable subsets are listed, the power set of A U C, designated as P(A U C), will be discovered.
P(A U C) = { {}, {1}, {2}, {3}, {4}, {6}, {1,2}, {1,3}, {1,4}, {1,6}, {2,3}, {2,4}, {2,6}, {3,4}, {3,6}, {4,6}, {1,2,3}, {1,2,4}, {1,2,6}, {1,3,4}, {1,3,6}, {1,4,6}, {2,3,4}, {2,3,6}, {2,4,6}, {3,4,6}, {1,2,3,4}, {1,2,3,6}, {1,2,4,6}, {1,3,4,6}, {2,3,4,6}, {1,2,3,4,6}}.
There are 31 subsets in the power set P(A U C) that result from the union of sets A and C.
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Find the value of x and y
Answer: x = 40 degrees and y = 80 degrees
Step-by-step explanation: Using the fact that the sum of the interior angles of a triangle is 180 degrees, we can find that x = 40 degrees in the triangle on the left. For the polygon on the right, we can use the fact that the sum of the interior angles of a quadrilateral is 360 degrees to find that y = 80 degrees.
Therefore, x = 40 degrees and y = 80 degrees.
WILL GIVE BRAINLIEST
Question
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 2 or a 4?
Responses
12%
15%
22%
30%
-8x-11x what is the answer
Answer:
-19x
Step-by-step explanation:
so you start with -8 and when you subtract 11 from -8 its the same as adding them but because your subtracting you'll decrease which make the answer -19x. (hopefully this made sense)
Let f ( x ) = − 4 x + 1
Hii can someone please help me with this question I prize you brianliest
Answer:
35
Step-by-step explanation:
substitute n = 6 into h(n) for number of squares
h(6) = 6² - 1 = 36 - 1 = 35
An aquarium tank holds 190 liters of water. How much is this in gallons? Use the following conversion: 1 gallon is 3. 8 liters. What is the Answer?
The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.
Conversion factors are the ratios that describe the numerical relationship between two units of measurement.
The conversion factor of liters to gallons is 1 gallon is 3.8 liters.
Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.
190 liters x 1 gallon/3.8 liters = 50.15 gallons
Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.
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Solve the simultaneous equation
(use substitution please!)
3x-2y=21
4x+3y=11
x= ?
y= ?
\(3x -2y =21 ~~....(i)\\\\4x+3y = 11~~~...(ii)\\\\\text{From (i)}\\\\3x - 2y = 21 \\\\\implies x = \dfrac{21+2y}3 = 7 +\dfrac{2y}3 ~~~...(iii).\\\\\text{Substitute x in equation (ii):}\\\\4\left( 7 + \dfrac{2y}3 \right) + 3y = 11\\\\\\\implies 28 + \dfrac{8y}3 + 3y =11\\\\\implies \dfrac{17y}3 = 11-28 = -17\\\\\implies \dfrac{y}3 = -1\\\\\implies y =-3\\\\\text{Substitute} ~ y =-3 ~ \text{in equation (iii):}\\\\\x=7+\dfrac{2(-3) }3 = 7-2 =5\\\\\text{Hence,} ~(x,y) = (5,-3)\)
∠A and ∠B are supplementary. The measure of ∠A is 34°.
What is the measure of ∠B?
Enter your answer in the box.
Answer146°
Step-by-step explanation:The supplement of 34° 34 ° is the angle that when added to 34° 34 ° forms a straight angle (180° 180 °). 180°− 34° 180 ° - 34 ° Subtract 34 34 from 180 180.
Supplementary angles have sum 180°
\(\\ \sf\longmapsto x+34=180°\)
\(\\ \sf\longmapsto x=146\)
Carmen received a paycheck of $350 for 40 hours of work find the unit rate answer asap
Answer:
8.75
Step-by-step explanation:
350/40=8.75
i hope this helps:)
<3
For what values of k does the function y = cos(kt) satisfy the differential equation 16y'' = −25y? (Enter your answers as a comma-separated list.)
The required answer are k = 5/4 and k = -5/4.
To determine the values of k that make the function y = cos(kt) satisfy the differential equation 16y'' = -25y, we need to substitute y = cos(kt) into the differential equation and solve for k.
First, find the second derivative of y = cos(kt). The first derivative is obtained by using the chain rule: y' = -ksin(kt), and the second derivative is y'' = -k^2cos(kt).
Now, substitute y = cos(kt) and y'' = -k^2cos(kt) into the differential equation 16y'' = -25y:
16(-k^2cos(kt)) = -25(cos(kt))
Simplify the equation:
-16k^2cos(kt) = -25cos(kt)
Divide both sides of the equation by cos(kt) to eliminate it:
-16k^2 = -25
Solve for k:
k^2 = 25/16
Taking the square root of both sides:
k = ±5/4
Therefore, the values of k that make the function y = cos(kt) satisfy the differential equation 16y'' = -25y are k = 5/4 and k = -5/4.
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Write an equation of the line that passes through the points (-3,5) and (2,15)
Answer:
y = 2x + 11
Step-by-step explanation:
Find Slope
(15 - 5) / (2 - (-3)) = 10/5 = 2
Insert One Ordered Pair and Slope into Point Slope Formula
(y - y1) = m(x - x1)
(2,15) and slope = 2
(y - 15)= 2(x-2)
Evaluate
y -15= 2x-4 → y = 2x + 11
Answer =
y = 2x + 11
Which number is equal to |2|- -3|?
-15
-9
9
15
Answer:
9
It's right! Hope this helps!!
Answer:
C 9
Step-by-step explanation:
What is a simpler form of the radical expression sqrt 36g^6.
Answer:6|g4
Step-by-step explanation:
-8
-6
A
6
-6
L
to t
4
9
8
Domain: [-5, 1)
Range: [-4, 7)
The range and domain of the graphed function are:
Domain: [-5, 1)
Range: [-4, 7)
What are the Domain of a Function?If a function is graphed on a coordinate plane, all values on the x-axis are the domain while those on the y-axis make up the range of the function.
In the given graphed function, the domain starts from -5 up to 1, while the range starts from -4 up to 7.
Therefore, the domain and range are:
Domain: [-5, 1)
Range: [-4, 7)
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What is the greatest common factor (GCF) of this expression?
Answer:
B
Step-by-step explanation:
– 5 = -3 + a whats a?
Answer:
-5=-3+a
-5+3=a
a=-2
value of a is -2
Is the sky blue???????
No No the sky is not blue.
A clear cloudless day-time sky is blue because molecules in the air scatter blue light from the sun more than they scatter red light. When we look towards the sun at sunset, we see red and orange colours because the blue light has been scattered out and away from the line of sight.
To understand why the sky is blue you need to remember how color works. Color is largely caused by how well an object absorbs the light spectrum. When you see a blue sky you only see blue because all the other colors were absorbed in the air. Any object with color works that way. For example a red ball is read because all the colors of light are absorbed by the ball except for red. This reflected light is what gives the object color.
This is what happens with the sky. The atmosphere is denser than we imagine and the different gases give the atmosphere unique properties in how it absorbs, diffuses, and reflects light. When sunlight passes through our atmosphere a portion of it is scattered and absorbed. The remainder either reaches the surface or is reflected back. The portion that makes it to us observers is 75 percent.
This process is called diffused sky radiation. So to review, we color because objects due to texture of dyes and surfaces absorb all light wavelengths and reflect back one or more. The reason we see the sky as blue is because the molecules in the air scatter the light absorbing most wavelengths of light except for blue.
In addition to this the sky is gray and overcast because of the water droplets in the atmosphere in the forms of clouds and humidity. water refracts light equally unlike air molecules in the atmosphere. This means we get the entirety of white light only it is dimmer just like when you shine a light through a white sheet.
The fact we see a blue sky is good thing because its shows that are atmosphere is at work shielding us from the full energy of the sun’s rays. While the sun is the largest source of energy to our planet, a lot of its high energy radiation that is deadly for living things. Our atmosphere plays it part by shielding us from that. So when you see a blue sky with your kid you can tell them it means the sky is acting like a huge shade blocking out the bad parts of the sun.
Answer:
thats cool
Step-by-step explanation:
During geometry class, students are told that ΔTSR ≅ ΔUSV. Marcus states that ΔTSR is mapped to ΔUSV by performing a rotation about point S. Sam states that ΔTSR is mapped to ΔUSV by a reflection across the line that goes through point S. Determine if either student is correct.
Answer: Marcus is correct.
i got it right on Edge2020
Step-by-step explanation:
Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.
Marcus's claim is correct.
The triangles are given as: ΔTSR and ΔUSV
By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.
So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.
Hence, Marcus is correct, and Sam is not.
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有一條繩子長
\(5 \times \frac{1}{4} \)
公尺,其中
\(3 \times \frac{1}{2} \)
公尺塗黄色,求黄色
分占全長的幾分之幾?剩下的部分占全長的幾分之幾?
what
i'm sorry I don't understand chinese or whatever it is-
Isaac is playing a dart game at the school carnival. The dartboard is shown. How much greater is the probability of Isaac hitting a gray square than a black square?
Answer:
Greater probability of gray than black = 3/25
Step-by-step explanation:
Given:
Total block = 5 x 5 = 25
Number of black blocks = 6
Number of gray blocks = 9
Find:
Greater probability of gray than black
Computation:
Greater probability of gray than black = Probability of gray - Probability of black
Greater probability of gray than black = 9/25 - 6/25
Greater probability of gray than black = 3/25
The principal at Key North Middle School wants to determine if the 85 students in the seventh grade prefer to collect bottles or sell magazines as their yearly fundraiser. Which of the following is a set of people that could be a representative sample of the population?
Using sampling concepts, it is found that a sample that involves an equal proportion of boys and girls is representative of the population.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
The students of the seventh grade can be divided into boys and girls, hence, a sample that involves an equal proportion of boys and girls is representative of the population.
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Which statements are true about the circle shown? Check all that apply.
Step-by-step explanation:
A circle is only composed of the points on the borderThe distance around the circle is called circumferenceAngle b and angle c are complementary. If angle b is five times the size of angle c which equation can be used to find the measure of angle c?.
If angle b is five times the size of angle c, the equation can be used to find the measure of angle is 5x+x=90°.
because complementary angles complete each other to 90 degrees.
How to find equation aboveThese angles b and c add up to 90° because they are complementary.
Let's say angle C is named x.
angle b is five times the size of angle c, this can be written: 5x
Complementary angles add up 90°, so angle B add angle C equal 90°
the equation to find the measure of angle C is 5x+x = 90°.
Definition of AngleTypes of angles are one of the materials in mathematics that you always encounter at every level of education. Learning about angles is very important, because angles are always present in everyday life and need to be identified.
An angle is a shape formed by two rays having an endpoint at one point. In angles, terms such as the leg of the angle, vertex, and area of the angle are also found.
The legs of the angle are the lines forming the angle. The vertex is the point where the two legs of the angle intersect, and the area of the angle is the area bounded by the two legs of the angle.
Your question is incomplete but most probably your full question was:
Only Interaction Angle B and angle C are complementary: If angle B is five times the size of angle C which equation can be used to find the measure of angle C?
5x+x=180
5x = 180
5x+x=9
5x = 90
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What is the value of
1.6 x 1014
3.2x 107 in scientific notation
O 0.5x 102
O 5.0 x 10
O 5.0 x 10
O 0.5x 107
HELP
2 3/5 + 5 1/4 in a fraction
Step-by-step explanation:
\(2\frac{3}{5} +5\frac{1}{4}\)
= \(\frac{13}{5} +\frac{21}{4}\)
= \(\frac{52 + 105}{20}\)
= \(\frac{157}{20}\) Or \(7\frac{17}{20}\)
Please give me a brainliest answer
PLEASEEEEE HELPPPPPPP ASAPPPPPPPPPP
Answer:
Its is 405 gallons
Step-by-step explanation:
If you need an explanation lmk!!!
Answer:
405 gallons
Step-by-step explanation:
The formula to find the amount of water is g=9m-0.17, so 45 is gonna go into the m spot
g=9(45)-0.17
g=405-0.17 <-After you multiply 9 and 45
g=404.83
Now you must round to nearest whole which is 405
I hope this helps
(1 point) a rectangular swimming pool is 8 ft deep, 20 ft wide and 20 ft long. if the pool is filled to 1 ft below the top, how much work is required to pump all the water into a drain at the top edge of the pool? (use 62.4 lb/ft2 for the weight density of water.)
This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
What is amount?Amount is a numerical value that refers to the total sum of money or other type of payment due. It is used to quantify the size of a transaction, the cost of goods or services, or any other type of financial transaction. Amounts can be expressed in a variety of different currencies, and they can be negative (owing) or positive (owed).
To calculate the amount of work required to pump all the water from the rectangular swimming pool into a drain at the top edge, we must first calculate the volume of the water in the pool. Volume is calculated by multiplying the length, width, and depth of the pool, which in this case is 20 ft x 20 ft x 8 ft = 3,200 cubic ft. Since the pool is filled to 1 ft below the top, the volume of water is 3,200 ft3 - 20 ft3 = 3,180 ft3.
Next, we must calculate the weight of the water, which is the volume multiplied by the weight density of water (62.4 lb/ft3). The weight of the water in the pool is 3,180 ft3 x 62.4 lb/ft3 = 197,952 lbs.
Finally, to calculate the amount of work required to pump the water from the pool into a drain at the top edge, we must multiply the weight of the water (197,952 lbs) by the height of the drain (8 ft). This gives us a total of 1,583,616 ft-lbs of work required to pump the water out of the pool.
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on a particular day, a restaurant that is open for lunch and dinner had 182 customers. each customer came in for one meal. an employee recorded at which meal each customer came in and whether the customer ordered dessert. the data are summarized in the table below. dessert no dessert lunch 34 41 dinner 33 74 suppose a customer from that day is chosen at random. answer each part. do not round intermediate computations, and round your answers to the nearest hundredth. (a)what is the probability that the customer came for dinner and did not order dessert? 0.63 (b)what is the probability that the customer came for dinner or did not order dessert? 0.81
Probability is a measure of the likelihood of an event occurring. Probabilities can also be expressed as percentages, with 0% representing an impossible event and 100% representing a certain event.
There were 33 customers who came for dinner and did not order dessert, and there were a total of 182 customers. So the probability that the customer came for dinner and did not order dessert is:
P = 33/182= 0.18.
There were 33 customers who came for dinner and did not order dessert, and there were 74 customers who did not order dessert, for a total of 107 customers. So the probability that the customer came for dinner or did not order dessert is:
P = 107/182 = 0.59.
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A manufacturing company would like to investigate the effect of a new supplier of raw material to their product. The company makes 7,000 of these items each day and the new supplier is much less expensive than their current supplier. If the rate of defects remains unchanged with the new material, they will use the new material. For their analysis, they take a cluster sample of 500 items made from the new supplier's material. If the defect rate is > 3%, is the Success/Failure condition met in this case? a. Not enough information b. No c. Yes
The Success/Failure condition states that both np and n(1-p) must be greater than or equal to 10, where n is the sample size and p is the probability of success (in this case, the probability of a defect occurring).
In this case, the sample size is 500 and the company makes 7,000 items each day, so the population size is much larger than the sample size. Therefore, we can use the adjusted formula for np and n(1-p):
np = n * P = 500 * 0.03 = 15
n(1-p) = n * (1-P) = 500 * 0.97 = 485
Both np and n(1-p) are greater than 10, so the Success/Failure condition is met.
Therefore, the answer is c. Yes.
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