Calculate the length of the unknown side of this right-angled triangle.
9 cm
8 cm
Answer:
12.04
Step-by-step explanation:
Formula:
a² + b² = c²
8² + 9² = c²
64 + 81 = c²
145 = c²
c = 12.04
What is the slope and y-intercept of the function
f(x) = - 7 + 3x
A. m= 1/3 b= 7
B. m= -3 b= -7
C. m=3 b =-7
D. m= -1/3 b= 7 7
Answer: the answer is C. M= 3 and B= -7
the slope is always with the (x) and the b is by itself
A living room is 1,400 cubic meters. If there are 3.6 x 10' particles of dust per cubic meter, how many
particles of dust are there in the living room?
A) 5.04 x 102 particles
B) 5.46 x 1012 particles
C) 6.04 x 1013 particles
D) 6.44 x 1013 particles
Answer: 5.04x[tex]10^{4}[/tex] particles
in your situation is choose : A
Step-by-step explanation:
the volume of the living room is 1,400[tex]m^{3}[/tex], and there are 3.6 x [tex]10^{1}[/tex] particles of dust / [tex]m^{3}[/tex]
we will convert the room volume to scientific notation = 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex]
then, the total number of particles will be the product of the two numbers, which is 1.4 x [tex]10^{3}[/tex][tex]m^{3}[/tex] times 3.6 x [tex]10^{1}[/tex] particles/[tex]m^{3}[/tex] = 5.04x[tex]10^{4}[/tex] particles
The Hu family goes out for lunch, and the price of the meal is $54. The sales tax on the meal is 7%, and the
family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
The total cost of meal is $65.34
Step-by-step explanation:
Price of the meal = $54
Sales tax on meal = 6%
Tip given= 15% on pre-tax amount
We need to find total cost of meal.
First finding sales tax amount:
We need to calculate 6% of 54

So, the sales tax would be $3.24
Now, we need to find tip amount
We will find 15% of 54

So, the tip given would be $8.1
The total cost of meal = Price of meal + Sales Tax + Tip
= 54+3.24+8.1
= 65.34
So, the total cost of meal is $65.34
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Is x=3, y=2 a solution to the system of equations shown? Justify your answer.
y = 2x - 4
3x + 2y = 8
Answer:
It is not a solution.
Step-by-step explanation:
y = 2x - 4
2 = 2(3) - 4
2 = 6 - 4
2 = 2
The point is a solution to the first equation.
3x + 2y = 8
3(3) + 2(2) = 8
9 + 4 = 8
11 ≠ 8
The point is only a solution for one equation. It is not a solution to the system.
Hope this helps.
Interior and Exterior Angles of Polygons -
Answer:75
Step-by-step explanation:
180-64 gives you the angle not labelled which is 116 then to work out size of angle formula is 180(n-2) n being sides so 180(6-2) = 720 so 720 minus all the angles = 75 I think lol
Answer:
x = 75
Step-by-step explanation:
180-64 = 116
Since this is a hexagon (6 vertices), the angles all add up to 720
116 + 121 + 155 + x + 90 + 163 = 720
x + 645 = 720
x = 75
translate the figure 3 units right and 7 unit down.Record the coordinates of the image.
Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)
Step-by-step explanation:
You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).
An electronic device factory is studying the length of life of the electronic components they produced. The manager selects two assembly lines and takes all samples on those two lines. He got a sample of 500 electronic components and records the length of life in the life test. A histogram indicates that the lifespans have moderate right skew. From the sample he found the average length of life was 200,000 hours and that the standard deviation was 1,000 hours. He wants to find the confidence interval for the average length of life of the electronic components they produced. Based on the information, what advice will you give to him
Answer:
The confidence interval will be given by:
[tex]200000 \pm 44.72z[/tex], in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of [tex]1 - \frac{1 - z}{2}[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In the context of this problems:
It means that the sampling distributions of the sample mean of 500 components will be approximated normal, with mean 200,000 and standard deviation [tex]s = \frac{1000}{\sqrt{500}} = 44.72[/tex]
To build the confidence interval:
The confidence interval for the average length of life of the electronic components they produced will be given by:
[tex]200000 \pm 44.72z[/tex], in which z is related to the confidence level.
For a confidence level of x%, z is the value in the z-table that has a pvalue of [tex]1 - \frac{1 - z}{2}[/tex]
HELP ME I BEG OF YOU!!!!
Which inequality is represented by this graph?
A. Negative 34.5 greater-than x
B. Negative 34.5 less-than x
C. Negative 35.5 greater-than x
D. Negative 35.5 less-than x
Answer:
B) -34.5 < x
---
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Answer:
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Step-by-step explanation:
Area of composite shapes!!
Answer:
Step-by-step explanation:
Divide it into a 3-by-3 square and a right triangle with legs that are 3 and 4.
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Which scenario represents a proportional relationship?
Question 2 options:
Bob is a bellhop at the hotel and makes $12.50 per
hour plus tips.
Richard works at a Fire Department and earns $15.00 per hour.
Mr. Bridges has a plumbing business and charges $45.00 an hour plus
a $11.00 service fee.
Sally works at Build-a-Bear Workshop and creates cute, cuddly
stuffed animals. She earns $10.00 per hour and accepts tips.
Answer:
The answer should be B
Step-by-step explanation:
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Andrea receives a $40 gift card to use at the roller skate rink. It costs her $8 per visit to skate. Write a function relating the value of the gift card, v, in terms of the number of visits,n
Answer:
its b
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
In a right triangle, the hypotenuse has endpoints P(-3, 2) and Q(1, -3).
Answer:
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Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?
Amount Avery paid: 32,000-12,000-6,000 = 15,000
Divide portion she paid by total cost:
15,000/33,000
Simplify to 15/33
Multiply the amount the boat was sold for by her portion:
25,300 x 15/33 = 11,500
Subtract the amount she got from the amount she paid:
15,000 - 11,500 = 3,500
She lost $3,500
Answer:
yes
Step-by-step explanation:
yes!
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Step-by-step explanation:
set
[tex]f(x,y)=x+y\\[/tex]
constrain:
[tex]g(x,y)=x^2+y^2 = 7\\h(x,y)=x^3+y^3=10[/tex]
Partial derivatives:
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By solving:
[tex]a=4/9\\b=-2/27\\x+y=4[/tex]
Second mathod:
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Step-by-step explanation:
Chapman wants to buy a pair of AirPods however he currently has only 20 he then decides to begin saving his monthly allowance until he has enough for his purchase. After two months, he has saved a total of $66, including his initial $20. Select the linear equation that models S, The total amount of money he will have saved, X months after he begins saving his allowance
Answer:
C
Step-by-step explanation:
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Answer:
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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
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tinyurl.com/wpazsebu
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Answer:
Step-by-step explanation:
1. $5
2. 50 cents
3. 25 cents
4. 3 dollars
5. 70 cents
just subtract them
which Is NOT a linear function?
I think its Y = x+ 3
find the unknown sizes of angle in the following figures
Answer:
each missing angle is 120°
Step-by-step explanation:
What you have is a kite so the two missing angles are equal.
The sum of all four angles = 360°
2y = 360° - 88° - 32° = 240°
y = 120°
In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
What should you check if the
experiment does not led
Answer:
D: the wiring and the other
Step-by-step explanation:
Answer:
The liquid and the medal
Step-by-step explanation: "So the electrons start to move from one metal to the other through the liquid. This creates current" This is why i would check the liquid and the medal. if the experiemnt doesnt work then there must be something wrong with the current
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Answer:
B
Step-by-step explanation:
I know why im smart im in college
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Solve the system of equations x – 3y = 1 and 2x + 2y = 18 by combining the
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The independent variable is m, and the dependent variable is h.
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With h, it needs the result of m and its other values to become the result of h. H relies/depends on the values in the equation to become a value.
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