Answer:
3, 4, and 5
Step-by-step explanation:
To put it simply, 3 + 4 + 5 = 12 and the numbers are consecutive, next to each other.
The method:
The three consecutive numbers could be called x, x + 1, and x + 2 and we know that x + x + 1 + x + 2 = 12
This can be simplified to 3x + 3 = 12. Next, subtract 3 from both sides to get 3x = 9. Now, divide both sides by 3 to get x = 3.
This means that the first number is 3 and the other numbers are 4 (3 + 1) and 5 (3 + 2).
Hope this helps!
Answer:
The numbers are 3, 4 and 5.Step-by-step explanation:
Let's name the three consecutive number x, x + 1, and x + 2.
=> x + x + 1 + x + 2 = 12=> 3x + 3 = 12=> 3x = 9=> x = 3Now, just substitute the value of x into all the numbers to get your answers.
=> x, x + 1, x + 2=> 3, 3 + 1, 3 + 2=> 3, 4, 5Hence, the numbers are 3, 4 and 5.
1. Find the values of x and y.
a.
b.
(3x + 18)°
(5y+68)°
(3y+96)°
x = 8, y = 2
x = 20, y = 2
(5x+2)°
fal
C. x = 8, y = 14
x = 20, y = 14
d.
Answer:
c
Step-by-step explanation:
(5x + 2) and (3x + 18) are vertically opposite angles and are congruent, so
5x + 2 = 3x + 18 ( subtract 3x from both sides )
2x + 2 = 18 ( subtract 2 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
Similarly
(5y + 68) and (3y + 96) are vertically opposite angles and are congruent, so
5y + 68 = 3y + 96 ( subtract 3y from both sides )
2y + 68 = 96 ( subtract 68 from both sides )
2y = 28 ( divide both sides by 2 )
y = 14
Question 9
Which of the following distributions has a mean that varies?
I. The population distribution
II. The distribution of sample data
III. The sampling distribution of the sample mean
a. Il only
b. Ill only
c. I only
d. all three distributions
e. Il and III
Distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"
What is means ?Mean refers to the average of a set of values. The mean can be computed in a number of ways including the simple arithmetic mean add up the numbers and divide the total by the number of observations the geometric mean and the harmonic mean. mean can obtained dividing the sum of all values in a data set by the number of values.
Therefore distribution has a mean that has varies is II the distribution of sample data. The correct "option is A"
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evaluate the following expression given the function below when f(-2) f(x)=x²+7
we are given the following function:
\(f(x)=x^2+7\)We are asked to find:
\(f(-2)\)This means the value of the function when x = -2, therefore, in the function where ever we find "x" we replace it with -2, like this:
\(f(-2)=(-2)^2+7\)Solving the operations:
\(f(-2)=4+7=11\)Therefore, f(-2) = 11
Which one is the equation of the line passing through (-2,1) and (-2,0)? a. x=-2 b. y=-2 c. y=x+3 d. y=x+2
The equation of the line passing through (-2,1) and (-2,0) is x = -2.
:Given two points (-2,1) and (-2,0), to find the equation of the line passing through these points. Use the following steps;Find the slope of the line using the formula;y2 - y1 / x2 - x1
Simplify the equation of the slope and plug in any point.Find the equation in slope-intercept form by using the point-slope formThe formula of the slope is;Δy / Δx = (y2 - y1) / (x2 - x1)Let the points (-2,1) and (-2,0) be (x1,y1) and (x2,y2) respectively.
Summary:Therefore, option A is the correct answer which is x = -2, as the equation of the line passing through (-2,1) and (-2,0).
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A snowball has a radius of 7cm. What is the volume of the snowball?
Answer:
The volume is 1436.8\(in^2\) .
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:
\(V = \frac{4}{3} \pi r^3\)
-Use the radius for the formula:
\(V = \frac{4}{3} \pi 7^3\)
-Then, you solve:
\(V = \frac{4}{3} \pi 7^3\)
\(V = \frac{4}{3}\) × \(\pi\) × \(7^3\)
\(V = \frac{4}{3} \pi\) × \(343\)
\(V = \frac{1372}{3} \pi = 1436.755\)
-Round the answer to the nearest tenth:
\(V = 1436.8\)
So, therefore the volume is 1436.8\(in^2\) .
Answer:
The volume is 1436.8 .
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:
-Use the radius for the formula:
-Then, you solve:
× ×
×
-Round the answer to the nearest tenth:
So, therefore the volume is 1436.8
Factorise the following quadratic:
m^2 - 5m + 6
Answer:
(m-3)(m-2)
Step-by-step explanation:
Here,
m^2- 5m + 6
=m^2-(3+2)m +6
=m^2 - 3m - 2m +6
=m(m - 3) - 2 (m - 3)
=(m-3)(m-2)
f(x) = (x + 1)(x - 3)(x - 4)
Step-by-step explanation:
\(f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12\)
x intercept = -1, 3 and 4
y intercept = 12
i need answer please
Answer:
2nd one
Step-by-step explanation:
(x,y)
- 3 off of y (because it's going down)
-5 off of x (because it's going left)
Answer:
A=(-4,-2)
B=(-1,-1)
C=(-2,2)
Step-by-step explanation:
A = (1,1) = (-5+1) and (-3+1) = (-4,-2)
B = (4,2) = (-5+4) and (-3,+2) = (-1,-1)
C= (3,5) = (-5+3) and (-3+5) = (-2,2)
please i need an answer ASAP!!
Hello I'm taking a practice test that we are allowed to use notes on, I'm confused on how to answer this specific question, the question itself ask "what form are the following equations in?" I'd love if you guys could help.
Answer:
i think you drag the equations in the correct category
Step-by-step explanation:
If the combination r = 5% and Y = $100 billion is on the Fed rule line, we know that the combination r = 7% and Y = $100 billion would represent Select one: a. the Fed rule shifting to the left. b. a movement down the Fed rule. c. a movement up the Fed rule. d. the Fed rule shifting to the right.
If the combination r = 5% and Y = $100 billion is on the Fed rule line, and the combination r = 7% and Y = $100 billion is considered, it would represent a movement up the Fed rule.
The Fed rule represents the relationship between the interest rate (r) and the level of real GDP (Y). As the interest rate increases from 5% to 7% while keeping the level of real GDP constant at $100 billion, it indicates a movement along the Fed rule line in an upward direction.
This implies that as the interest rate increases, the recommended level of real GDP decreases, based on the Fed rule. Therefore, the combination r = 7% and Y = $100 billion represents a movement up the Fed rule.
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a window washer cleaned 28 windows in 4 hours. At this rate how many windows did he clean in 9 hours
Answer:
63
Step-by-step explanation:
28/4 = 7 windows per hour
7 × 9 = 63 windows in 9 hours
the average pressure and shear stress acting on the surface of the 1-m-square flat plate are as indicated in fig. p9.4. determine the lift and drag generated. determine the lift and drag if the shear stress is neglected. compare these two sets of results.
The lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.
The average pressure and shear stress acting on the surface of the 1-m-square flat plate.
P1 = 2.3 * 3 = 6.9 KN/m^2
P2 = -1.2 KN/m^2
T1 = 7.6 * 10^-2 * 2 = 0.152 KN/m^2
T2 = 0.058 KN/m^2
Now,
Drag force
F0 = F1sinα - F2sinα + FS1cosα+FS2cosα
= P1Asinα - P2sinα + T1Acosα + T2Acosα
= Asinα(P1-P2) + Acosα(T1 + T2)
= 1.sin(T)[6.9-(-1.2)] + 1. cos (T)[0.152 + 0.058]
= 0.98714 + 0.20843
= 1.1955 KN
Lift force
F1 = F1cosα - F2cosα - FS1sinα - FS2sinα
= P1cosα - P2Acosα - T1Asinα - T2Asinα
= Acosα(P1 - P2) - A.sinα(T1 + T2)
= 1. cos(T)(6.9 - (-1.2)) - 1. sin(T)(0.152 + 0.058)
= 8.014 KN
Hence the answer is the lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.
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When gravity acts on the air, the air exerts a force upon the earth called pressure. The typical pressure at sea level is 1013.25 millibars or 14.7 pounds per square inch.
The lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.
The average pressure and shear stress acting on the surface of the 1-m-square flat plate.
P1 = 2.3 * 3 = 6.9 KN/m^2
P2 = -1.2 KN/m^2
T1 = 7.6 * 10^-2 * 2 = 0.152 KN/m^2
T2 =0.058 KN/m^2
Now,
Drag force
F0 = F1sinα - F2sinα + FS1cosα+FS2cosα
= P1Asinα - P2sinα + T1Acosα + T2Acosα
= Asinα(P1-P2) + Acosα(T1 + T2)
= 1.sin(T)[6.9-(-1.2)] + 1. cos (T)[0.152 + 0.058]
= 0.98714 + 0.20843
= 1.1955 KN
Lift force
F1 = F1cosα - F2cosα - FS1sinα - FS2sinα
= P1cosα - P2Acosα - T1Asinα - T2Asinα
= Acosα(P1 - P2) - A.sinα(T1 + T2)
= 1. cos(T)(6.9 - (-1.2)) - 1. sin(T)(0.152 + 0.058)
= 8.014 KN
Hence the answer is the lift and drag if the shear stress is neglected, than the values of F0 = 1.1955 KN & F1 = 8.014 KN.
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Question 10(Multiple Choice Worth 5 points)
(Identifying Functions LC)
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1
Is the relation a function? Explain.
No, because for each input there is not exactly one output.
No, because for each output there is not exactly one input.
Yes, because for each input there is exactly one output.
Yes, because for each output there is exactly one input.
Is the relation a function:
No, because for each input there is not exactly one output.How to know if the relation is a functionTo determine if the relation is a function, we need to check if there is exactly one output for each input.
Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).
This means that there are two outputs for the same input, so the relation is not a function.
Therefore, the correct answer is: "No, because for each input there is not exactly one output."
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A triangle has two sides of lengths 7 and 12.what value could the length of the third side be?
Answer:
5<x<19
Step-by-step explanation:
Answer
find the length of the missing sides in the triangle. use 45 -45 -90 triangle theorem. write your answers as integers, in radical form, or as decimals rounded to the nearest tenth. The diagram is not drawn to scale
Answer:
\(y = 7\)
\(x = 7 \sqrt{2} \)
Answer:
The first image is the answer and the second image is the explanation.
Step-by-step explanation:
HELPPPPPP ME PLEASEEEEEEE AND THANKKKK UUUUU
Answer:
I know one is zay I think that’s it
Step-by-step explanation:
Helppppppp!!!!!!!!??????
Answer:
5/10
Step-by-step explanation:
twelve more than a number b
Answer:
twelve more than a number b is written as,
12>b
6.09 to the nearest tenth.
Answer:
6.1
Step-by-step explanation:
So when rounding off to the earest tenth check if the hundredeth number is bigger than 5 in this case the 9 is bigger than 5.
Because it is bigger than 5 add a 1 to the tenth unit making it 1.
Leave the 6 as it is.
The answer then becomes 6.1
HOPE THIS HELPED
What is the solution to the following system of equations?
2 x + 3 y = 6
x + y = 4
The solution of the system of equations is x = ___, y = ___.
Answer:
x = 6 , y= -2
Step-by-step explanation:
=1 ( 2x + 3y =6)
2( x+y=4)
2x+3y =6 (1)
2x+2y = 8 (2)
by eq 1 and 2 using elimination method
y = -2
putting y in eq 2
2x + 2(-2)=8
2x -4 =8
2x =8+4
2x=12
x= 6
Answer:
x = 6 , y = -2
Step-by-step explanation:
2 x + 3 y = 6 (Equation 1)
x + y = 4 (Equation 2)
Solving by substitution :
(Equation 2) ⇒ y = 4 - x
Substitute y by 4 - x in (equation 1) :
2 x + 3 (4 - x) = 6
Then
2 x + 12 - 3x = 6
Then
12 - x = 6
Then
12 - 6 = x
Then
x = 6
We obtain :
y = 4 - x and x = 6
Then
y = 4 - 6
= -2
4.
4
Solve for c.
= ✓ [?]
C =
Enter the number that
goes beneath the
radical symbol
Step-by-step explanation:
si your trying to solve for c, or the hypotenuse? excuse me typing out a few things my keyboard is broken
4² plus 4²
16 plus 16 = 32
32 goes under the symbol
A body of mass 200g performs in shm at a frequency of 50hz at a distance of 100cm from the main position, its velocity is 2000m/s calculate it's maximum velocity
Answer:
The maximum velocity of a body of mass 200g performing in Simple Harmonic Motion (SHM) at a frequency of 50Hz at a distance of 100cm from the main position is 2000m/s. This can be calculated using the equation: velocity = (2π x frequency) x amplitude, where frequency is 50Hz, amplitude is 100cm, and 2π is equal to 6.28. Thus, the maximum velocity is (6.28 x 50) x 100 = 3140m/s.
Multiple choice: How many times larger is 6 x 10^5 than 6 x 10^1
A.) 216
B.) 1,000
C.) 1,296
D.) 10,000
Answer:
6×10^5=600000
6×10^1=60
600000/60=10000
In statistics, if a p-value is less than an alpha set at 0.05, is it considered significant or not?
A p-value less than 0.05 is considered significant because it indicates strong evidence against the null hypothesis.
A p-value is a measure of the strength of evidence against a null hypothesis. It tells you the probability of getting a test statistic as extreme as the one you observed, assuming the null hypothesis is true.
Now, to answer your question, if a p-value is less than an alpha set at 0.05, it is considered significant. This means that there is less than a 5% chance that the observed effect is due to random chance or error.
In other words, the evidence is strong enough to reject the null hypothesis and support the alternative hypothesis.
To better understand this concept, let's consider an example. Suppose we want to test whether a new drug is effective in treating a certain condition.
The null hypothesis is that the drug has no effect, while the alternative hypothesis is that it does have an effect. We conduct a clinical trial with a sample size of 100 patients and find that 60 of them show improvement after taking the drug.
We calculate a p-value of 0.02, which is less than our alpha of 0.05. This means that there is strong evidence to reject the null hypothesis and conclude that the drug is indeed effective.
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What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to anglerms.
From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.
Properties ofa rhombusThe given diagram is a rhombus that has the following properties
Opposite side are equalAll the sides are congruentThe opposite angles are equalThe sum of the adjacent angles are supplementaryFrom the figure shown, we can see that;
<msr is a right angle (equal to 90 degrees)
<mrh is acute since it is less than 90degrees.
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Answer:
A (it must be acute)
Step-by-step explanation:
17 = 3m one step equation help please
Answer:
m= 17/3
Step-by-step explanation: Divide both sides by 3
3m/3 = 17/3
Simplify and you get-
m= 17/3
i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Answer:
541/2 square
Step-by-step explanation:
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
b+8=12.2 solve for b
Answer:
b=12.2-8
b=4.2
thus
4.2+8=12.2
Answer: B=4.2
Step-by-step explanation:
b+8=12.2
Subtract 8 from both sides
b+8-8= 12.2 - 8
Simplify
b=4.2
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus