Consider the sequence of steps to solve the equation: 3(x - 4) + 5x 9x - 36
Given => 3(x-4)+ 5x 9x - 36
Step 1 = 3x - 12 + 5x-9x - 36
Step 2 -> 3x + 5x - 12-9x - 36
Step 3 8x - 12 - 9x - 36
Step 48x - 8x - 12 - 9x - 8x - 36
Step 5 => 0 - 12 - x - 36
Step 6-12 - 36
Step 7-12 + 36 x - 36 + 36
Step 8 = 24 x +0
Step 9 = 24 - x
Which property yields Step 1?
3)
A)
Distributive Property
B)
Multiplicative Identity
Multiplication Property of Equality
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 3 to x and -4
69 to the power of 2
Answer:
4761
Step-by-step explanation:
69 times 69 since it is to the power of 2.
Answer:
4761
Step-by-step explanation:
[tex]69 *69=4761[/tex]
please give brainliest I need to feed my children
Completează casetele cu numărătorii potrivit pentru ca relațiile sa fie adevărate
Answer:
si
Step-by-step explanation:
902
If the probability that a person will die in the next year is
what is the
100,000'
probability that the person will not die in the next year?
A. 0.902%
B. 99.098%
C. 0.098%
D. 99.902%
Answer:
B. 99.098%
Step-by-step explanation:
The probability that the person will not die in the next year is 99.098% .
Correct option is B.
What is probability?Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.
Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.
Probability (Event) = Favorable Outcome/Total Outcome = x/n
Given,
Probability of a person will die next year = 902/100000
sum of the probabilities of all events in the sample space is 1.
Then probability of the person will not die in the next year
= 1 - 902/100000
= 1 - 0.00902
= 0.99098
= 0.99098 × 100/100
= 99.098%
Hence, 99.098% is the probability that the person will not die in the next year.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ7
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
Drag the tiles to the correct boxes to complete the pairs.
Match the trigonometric functions that have the same value.
sin (pi/11)
sin (7pi/11)
sin (5pi/11)
sin (8pi/11)
Answer: in photo
Step-by-step explanation:
Photo
HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.
Answer:
34.1cm^2
Step-by-step explanation:
Area of triangle = 1/2 x base x height
=1/2 x6.2 x11
=34.1cm^2
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
A bag contains 5 1/4 pounds of nuts. The fraction of the nuts are the almonds is 1/5. How many pounds of almonds are in the bag.
Answer:
Step-by-step explanation:
⅕ of 5¼ pounds = ⅕ × 5¼
= ⅕ × 21/4
= 21/20 pounds
What is the step by step to get this answer I got
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).
Answer:
Experimental unit = Oat
Response variable = Oat yield
Factors : Oat varieties ; Manure Concentration
Level of factors :
Oat = 3 levels
Manure concentration = 4 levels
Step-by-step explanation:
The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.
The response variable is what we intend to measure about the experimental unit, which is the yield of oat.
Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.
Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.
Which temperature is lower
a)-9°C or -10°C
-10°C is lower than -9°C
Step-by-step explanation:
-10°C is lower than -9°C
The more the temperature increase the more heat increases
Thus, -10°C is lower than -9°C
-TheUnknownScientist
Answer:
Step-by-step explana
-10
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!
Which is the graph of f(x) =
The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?
Answer:
375 posters can be printed for $950
Step-by-step explanation:
First, create an equation. X = number of posters: 200+2x=950
Second, subtract 200 from both sides to get an equation of: 2x=750
Third, divide 2 on both sides to get: x = 375
Can someone help me please?
Answer:
28pi, 10pi
Step-by-step explanation:
So, lets go over a few things.
What is circumference?
Circumference is the permiteter of a circle.
The formula for it is 2*r*pi.
Now, lets go over what radius and diamater is.
Diamater is the distance between the two opposite sides of the circle.
The radius is half of the diamater, and is the distance between one side of the circle and the middle.
Problem #1:
The distance from the middle to the side of the circle is 14.
This will be the radius, not the diamater.
Lets plug this into the formula:
2*14*pi
=
28*pi
=
28pi
This is your answer.
Problem #2
The distance from the two opposite sides of the circle is 10.
So the radius will be half of this, being 5.
Now lets plug this in:
2*5*pi
=
10*pi
=
10pi
This is your answer.
Hope this helps!
The weights of 11 swimmers in the team were recorded by the coach and the average
weight was 86 pounds. Three swimmers whose weights were 88 pounds, 79 pounds,
and 83 pounds left the team. What was the new average?
Answer:
87
Step-by-step explanation:
87 x 11= 946
946-88-79-83=696
696/8 = 87
What is the volume please help me
Answer:
125 inches cubed
Step-by-step explanation:
First, you find the volume of the full square, and then you divide your answer by 2, since the figure is a triangle.
So,
10 x 10 x 2.5 = 250
250 ÷ 2 = 125 inches cubed
what is the volume of the prism 2m x 3m x 5m
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Round to the nearest whole dollar: $9.49
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
20. Solve for x.
25
12
20
Answer:
x = 9.6
Step-by-step explanation:
25x = 12 x 20
25x = 240
x = 9.6
VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
Animal house rescue is holding a fundraiser raffle. they sell 2,980 tickets for $1 each for a prize telescope valued at $425. what is the expected gain or loss to a participant purchasing ten tickets
A)$4,240.00 gain
B)$8.57 loss
C)$0.86 loss
D)$12.85 gain
Answer: The answer is C, hope I helped :)
Step-by-step explanation:
A purchase of 10 tickets is at an expected loss of $0.857 to the person.
Option B) $8.57 loss is the right choice.
What do we mean by Expected Gain or Loss?The expected gain or loss is a weighted average of the probability of the different gains or losses and the gains or losses.
How do we solve the given question?We are asked to calculate the expected gain or loss for a participant who purchases 10 tickets for a raffle costing $1 each, with a prize of a telescope valued at $425. We are told that a total of 2980 tickets have been sold.
First, we calculate the expected gain or loss on 1 ticket,
= 425*(1/2980) + (-1)(1)
= 0.1426174496 - 1
= -0.857382550.
∴ A purchase of 1 ticket is at an expected loss of $0.857
Now, we multiply this by 10 to get the expected gain or loss for the person with 10 tickets.
= -0.857382550*10 = -8.57382550
∴ A purchase of 10 tickets is at an expected loss of $0.857 to the person. Option B) $8.57 loss is the right option.
Learn more about Expected Gain or Loss at
https://brainly.com/question/24175866
#SPJ2
HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17
Answer:
the answer should be ( b ) if I did this correctly
What is the m angle3 ?
The measure of m<3 is 105 degrees
Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.
From the given diagram;
m<X + m<Y = m<3
Given that m<X= 55 degrees and m<Y = 50 degrees
m<3 = 55 + 50
m<3 = 105 degrees
Hence the measure of m<3 is 105 degrees
Learn more here: https://brainly.com/question/24193697
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
What is the equation to solve this problem?
[tex]\displaystyle\bf\\x^2+x^2=10^2\\\\2x^2=19^2\\\\x^2=\frac{10^2}{2}\\\\ \sqrt{x^2}=\sqrt{\frac{10^2}{2}}\\\\x=\frac{10\sqrt{2}}{\sqrt{2}\times\sqrt{2}}\\\\x=\frac{10\sqrt{2}}{2}\\\\\boxed{\bf x=5\sqrt{2}~~~~~~Correct~ansver:~~D)}[/tex]
Find the value of X and Y that make these triangles congruent by the HL theorem.
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
Solve for x in the triangle below. Round your answer to the nearest tenth. Help please
Step-by-step explanation:
sin theta =p/h
sin 42=x/13
0.66×13=x
x=8.69
stay safe healthy and happy.Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles
Answer:
Opposite angles are the same measure.
Angles around a point = 360°
When you add all the angles, you get 360.
Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.
Then, you half that value( divide by 2) and this is to find the measure of the other angle