The five sets of integers that has a mean of -10 will be 10, -15, -2, -12, and -11.
How to calculate the value?It should be noted that mean simply means average. Therefore, the numbers that will give a mean of -10 will be:
-10, -15, -2, -12, and -11.
Therefore, the mean will be:
= ( - 10 + -15 + -2 + -12 + -11) / 5
= -50 / 5
= -10
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Solve each equation.
log₉3=x
The value of x for log₉3=x is 1/2 or 0.5.
What is log function?An exponent is a logarithm. You may convert any exponential expression to logarithmic form. As an illustration, if 8 = 23, the base is 2, the exponent is 3, and the outcome is 8. This may be represented as 3 = log2 8 in logarithmic notation.
The equation y=logb(x+h)+k shifts the logarithmic function, y=logbx, by k units vertically and h units horizontally.
The equation given is -
log₉3=x
It can be expressed in the form -
3 = 9ˣ
3 = 3²ˣ
As base is same,
1 = 2x
x = 1/2 = 0.5
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Solve. Check for extraneous solutions. (5-x)¹/₂=x+1
x = -4 is the extraneous solution of the equation.
The equation is
(5 - x )^1/2 = x + 1
To find the extraneous solution first we need to find the value of x.
So we need to square on both sides of the equation
[tex](\sqrt{5- x})^{2}[/tex] = [tex](x + 1)^{2}[/tex]
5 - x = [tex]x^{2}[/tex] +2x + 1
[tex]x^{2}[/tex] + 3x - 4= 0
[tex]x^{2}[/tex] + 4x - x - 4 = 0
x( x + 4 ) - 1 ( x + 4) = 0
( x + 4)( x - 1) =0
x = -4, 1
Now put both the value of x in the solution in the equation.
x = -4
[tex]\sqrt{5 - (-4)}[/tex] = -4 + 1
[tex]\sqrt{9}[/tex] = -3
3≠ -3
Now put
x = 1
[tex]\sqrt{5 -1}[/tex] = 1 +1
[tex]\sqrt{4}[/tex] = 2
2 = 2
Therefore we get that x = -4 is the extraneous solution of the equation and x = 1 is the solution of the equation.
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Terry was measuring the volume of water on a graduated cylinder but did not notice that the measurements incremented by 2 instead of by 1. As a result he misread the volume of the liquid as 33.0 instead of 36.0. What is his percent error?
We conclude that the percent error in Terry's reading is 8.3 percent.
How to find the percent error?If you did a reading on a value V, and your reading is another value V', the percent error in your reading is given by the formula:
P = 100%*|V - V'|/V
In this case, Terry's reading of the volume of the liquid is V' = 33.0, while the actual value is V = 36.0
Replacing that in the formula for the percent error we get:
P = 100%*|36.0 - 33.0|/36.0 = (3.0/36.0)*100% = 8.3%
We conclude that the percent error in Terry's reading is 8.3 percent.
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A drawing has a scale of 1:30 On the drawing, a kitchen is a rectangle measuring 12 cm by 27 cm A bedroom has an actual area of 300 000 cm² Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
The actual area of the bedroom is bigger than the actual area of the kitchen.
The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The area of a rectangle is determined by its dimensions. A rectangle's area is essentially equal to the product of its length and breadth.
In the drawing, the kitchen is in the shape of a rectangle with dimensions of 12 cm × 27 cm.
Therefore, the area of the rectangle will be:
Area = Length × Breadth
Area = 12 cm × 27 cm
Area = 324 cm²
Now, the actual area of the bedroom is 300,000 cm².
Then the difference between the area,
difference = bedroom - kitchen
difference = 300,000 - 324 cm²
difference = 299676 cm²
Therefore, the area of the bedroom is bigger than the area of the kitchen.
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3+1+p=12
O p = 10 or p = -10
O p = 8 or p = -10
O p = 8 or p = -8
O p = 14 or p = -16
Answer:
p = 8
Step-by-step explanation:
3 + 1 + p = 12
Rearrange the equation so that you have integers on one side and algebra on the other.
3 + 1 + p = 12
p = 12 - 3 - 1
p = 8
There are about 61,000 people at a soccer game. How can 61,000 be written using a power of 10?
A.
TIME REMAINING
01:47:26
Every year, the US Census Bureau publishes its Annual Survey of School System Finances. The back-to-back stemplot below shows the 2016 per-pupil expenditure (rounded to the nearest $100) for eastern and western states and the District of Columbia in the United States.
A stemplot titled Per-pupil expenditure for U S States. 7 line 0 means 7,000 dollars per pupil. Eastern States: The values are 87, 88, 88, 89, 92, 98, 92, 92, 102, 113, 114, 117, 121, 132, 141, 142, 147, 153, 154, 155, 156, 179, 184, 190, 191, 223. Western States: The values are 70, 71, 76, 81, 90, 91, 92, 96, 97, 98, 100, 103, 105, 105, 108, 110, 112, 113, 115, 123, 123, 134, 138, 164, 175.
Based on the stemplot, which of the following is a correct comparison of the eastern and western states’ expenditures?
The stemplot gives a correct comparison of eastern and western states’ expenditures as The eastern states have, on average, a higher per-pupil expenditure than the western states.
What does the stemplot show?The Eastern States have expenditure per pupil which are higher in number and in quantity. For instance, they have per-pupil expenditure of $153, $154, $155, and $156. They also have $191, and $190.
When compared to the western states therefore, the eastern states seem to on average, spend more per-pupil.
Options for this question include:
The western states exhibit more variability in their expenditures than the eastern states. The eastern states have, on average, a higher per-pupil expenditure than the western states. The distribution of per-pupil expenditures in the eastern states is more symmetric than the distribution of the western states. The distribution of the western states' per-pupil expenditure is skewed left, while the distribution of the eastern states' per-pupil expenditure is skewed right. Valid conclusions comparing the distributions cannot be made, since there is a different number of states in each group.Find out more on stemplots at https://brainly.com/question/11320163
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On a road map, the distance from Pine Gap to Turkey Trot is 2 inches. The map scale shows inch equals 24
miles. What is the distance, in miles, from Pine Gap to Turkey Trot?
The distance from Pine Gap to Turkey Trot is
miles.
The distance, in miles, from Pine Gap to Turkey Trot is 48 miles.
Here, we are given that on a road map, the distance from Pine Gap to Turkey Trot is 2 inches. The scale of the maps shows that 1 inch is equal to 24 miles.
This simply means that 1 inch on the map is equal to 24 miles in reality. Usually maps use a scale factor to compare the distances as the map is a condensed version of the actual geographical area. Here, the scale factor is 1 inch : 24 yards.
Thus, a distance of 2 inches on the map will be equal to 24 × 2 = 48 miles.
Therefore, the distance, in miles, from Pine Gap to Turkey Trot is 48 miles.
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Identify the place value of the number 8 in 27,893,214
Answer:
Centena de mil, sorry, hundred thousand
Step-by-step explanation:
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11- 1/2y = 3 + 6x solve for y (literal equation) I'm very confused is it y = 3 + 6x - 11 ×(-2)?
====================================================
Explanation:
Multiply both sides by 2 to clear out the fraction
11 - (1/2)y = 3 + 6x
2* ( 11 - (1/2)y ) = 2*(3 + 6x)
2*11 - 2*(1/2)y = 2*3 + 2*6
22 - y = 6 + 12x
Then let's solve for y
22 - y = 6 + 12x
-y = 6 + 12x-22
-y = 12x-16
y = -(12x-16)
y = -12x+16 is the answer
The final answer is in slope intercept form y = mx+b
m = -12 = slope
b = 16 = y intercept
A model rocket is launched with an initial upward velocity of 57m/s. The rocket's height h (in meters) after t seconds is given by the following.
h=57t-5t^2
Find all values of for which the rocket's height is 29 meters.
The values of for which the rocket's height is 29 meters are 0.75 and -0.67.
How can the values of for which the rocket's height be calculated?The rocket's height h (in meters) after t seconds is given by the following.
h=57t-5t^2
Then the equation after the height is 29 meters was given will be
[tex]h=57t-5t^2[/tex]
29=57t-5t^2
then we will have [tex]57t-5t^2-29=0[/tex]
Then this is a quadratic equation, which can be solved, to find t, then after using the quadratic formular the values of t are:
0.75 and -0.67
Then we can chose 0.75 seconds
Therefore, from the question, we can see that after the quadratic equation has been performed 0.75 and -0.67 serves as the values for the height of 29 metres.
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Simplify each expression. (125)⁻²/₃
How do we find the constant rate from two points? (Write yourself step by step
directions to do this)
Step-by-step explanation:
It sounds like you need to find your slope. The equation is y2-y1/x2-x1
Say you have two points, and those two points make a line.
Say those points are (0,0), and (5,5).
To find the slope, we need which is equal to x2-x1/y2-y1 (the two coordinates for the points) which in this case, equals one. That means the constant rate of going up is, 1 each time it moves to the left once.
I hope this answers your problems. If you don't understand anything, I can try to help in the comments!
Solve using law of exponents
The table shows the number of vehicles
washed at a car wash fundraiser over the
weekend. If there were a total of 94 vehicles,
how many were washed on Saturday? Explain.
Answer:
Solution:
Total 94 vehicles
Washed on saturday:
34+27=61
94-61=33
So 33 vehicles are washed on Saturday.
Graph the inequality. z is less than or equal to 5
1/4x-2=2x-9
find value for x
Answer:
Add 2 to both sides.
1/4x=2x-7
Multiply both sides by 4
x=8x-28
-8x from each side.
-7x=-28
divide both sides by -7
X=4
Answer: x=4
1. Multiply both sides by 4 to get rid of the denominator, which gives you x-8 = 8x-36
2. Subtract 8x from both sides, which gives you x - 8 - 8x= -36
3. Add 8 to both sides, which gives you x - 8x = -36 + 8
4. Simplify, -7x = -28
5. Divide both sides by -7, x = -28/-7
6. the negative signs cancel and you just get 4
Between what two integers is
-√19 located on the number
line?
Answer:
1 and 1.50 or 1 and 2, but most likely the first one.
Step-by-step explanation:
Solve each equation.
9 x²+6 x=0
The solutions for this quadratic equation is
x = 0 , -2/3
What is quadratic equation ?
A quadratic equation is also known as quadratic function. The quadratic function has the form of equation as ax²+ bx + c, where a, b, and c are the numbers not equal to zero. In mathematics, the quadratic function, the quadratic polynomials , 2nd degree polynomial is a polynomial function with one or more that one variables in which the highest term is of the second degree.
according to question given,
9 x²+6 x=0
take the 3x as common factor, equation is
3x ( 3x + 2) = 0
now, evaluating this expression
3x = 0 , say equation 1
and, 3x +2 =0 say equation 2
from equation 1 , x = 0
and, from equation 2
3x + 2 =0
x = -2 / 3
Thus final solutions for this equation is
x = 0 , -2/3
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table for y= - 4/7 x - 2
By evaluating the equation we found 3 pairs we can write the table:
x = -7, 0, 7
y = 2, -2, -6
Which represents our equation.
How to get a table for the given relation?We want to get a table of the form:
x: x₁, x₂, x₃, ...
y: y₁, y₂, y₃, ...
To get that, we need to evaluate the given equation in some different values of x, so let's do that.
if we take x = 0, then we get:
y = -(4/7)*0 - 2 = -2
So we have the pair (0, -2)
If x = 7, then:
y = (-4/7)*7 - 2 = -4 - 2 = -6
So we have the pair (7, -6)
If x = -7 then:
y = (-4/7)*-7 - 2 = 4 - 2 = 2
So we have the pair (-7, 2)
So now that we have 3 pairs we can write the table:
x = -7, 0, 7
y = 2, -2, -6
Which represents our equation.
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Find the inverse of each function. Determine whether each inverse is a function. f(x)=2 x²-8
The inverse of the function f(x) = y = 2x² - 8 is [tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex].
A function's inverse is a function that reverses the action of a function, say [tex]f[/tex]. If the inverse of f exists, it is denoted by f ⁻¹ and exists only if f is a bijective function.
The domain of a relation's inverse corresponds to the original relation's range. In other words, the inverse's x values are the relation's y values.
Consider the function,
f(x) = y = 2x² - 8
Swapping x and y, to find the inverse.
x = 2y² - 8
Adding 8 on both sides of the equation.
x + 8 = 2y² - 8 + 8
2y² = x + 8
Dividing each side of the equation by 2.
y² = ( x + 8 )/ 2
Taking the square root of the equation.
[tex]\sqrt{y^{2}}=\pm\sqrt{\frac{x+8}{2} }[/tex]
[tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex]
The inverse of the function f(x) = y = 2x² - 8 is [tex]y=\pm\sqrt{\frac{x+8}{2} }[/tex].
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The cost to rent an apartment is proportional to the number of square feet in the apartment. An 800 square foot apartment costs $600 per month. What equation represents the relationship between area, A, and cost, C?
The relationship between area and cost is 3/4 means 4 times area gets 3 times cost.
Given the cost to rent an apartment is proportional to the number of square feet in the apartment.
Given the cost of an 800 sqft apartment per month = 600$
By using the given information we can define the relationship between area and cost as below
For 800 sqft = 600 $
for 1 sqft = x
It can be written as
800/1 = 600/x
By cross multiplicating the terms on both sides we get
800 * x = 600
x = 600/800
x = 3/4
The relationship between area and cost is 3/4 means 4 times area gets 3 times cost.
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Which expression is equivalent to -a times -b?
O a(-b)
O b-a
O (-a)(-b)
O a+b
Answer:
(-a)(-b)
-a ×-b
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How do I solve 3/4m - 1/12m = 7/8?? (This is a linear equation problem btw if you didn’t know).
A yearly subscription to a monthly magazine costs £42.00. How much does each issue
cost?
Each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.
Given, a yearly subscription to a monthly magazine costs £42.00 i.e., 12 months to a monthly magazine costs £42.00.
one month will cost £42.00 divide by 12 and let it be x.
we simply calculate the value of x by dividing £42.00 by 12.
x = 42.00/12
x = 3.5
x = £3.5
Therefore, each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.
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URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS!!!!!!!
Which is an irrational number ??
Answer:
An irrational number is a type of real number which cannot be represented as a simple fraction. It cannot be expressed in the form of a ratio
so the answer would be √13
Step-by-step explanation:
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Answer:
c
Step-by-step explanation:
an irrational number is a number that cannot be written as a number or a fraction
(10, y) and (3, 4); m = -2/7
The value of y is 1/ 2
What is slope?The slope of a line can be defined as a number that describes;
The direction of the lineThe steepness of the lineSlope of a line is also called the gradient of a line.
It is also known as the ratio of the rise to the run, or the quotient of the riser to the run.
The formula for slope is expressed as;
Slope = y2 - y1/ x2 - x1
Now, substitute the values
-2/ 7 = 4 - y/3 - 10
Find the ratio
-2/ 7 = 4 - y/-7
cross multiply
14 = 7(4 - y)
expand the bracket
14 = 28 - 7y
collect like terms
14 - 28 = -7y
-14 = -7y
Make 'y' the subject of formula
y = 1/2
Thus, the value of y is 1/ 2
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Simplify the expression. 6x(3y + 4z)
The algebraic expression 6x(3y + 4z) can be simplified as 18xy + 24xz
the algebraic expression given in the question is a linear equation in three variables that are x , y and z and the simplification of this algebraic expression would also contain all the three variables
To solve this question we have to use the algebraic of distributive property of addition over multiplication
We have to use this algebraic expression which says a(b + c) = ab+ acso, using the above property and substituting the values given in the question we get
6x(3y +4z) = 6x(3y) + 6x(4z)
= 18 xy + 24 xz
Hence, The algebraic expression 6x(3y + 4z) can be simplified as 18xy + 24xz
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Write log 150 as a sum or difference of two logarithms. Simplify if possible.
log 150 = log 50 + log 3
∴ log 150 = 2.176
As the base is not mentioned, we will take the base as 10. We will apply the product rule of logarithms to this equation.
log (150) can also be written as log (50×3).
Therefore, log (150) = log 50 + log 3
We know, log 3 = 0.477log 150 = log 50 + 0.477
Now, we can write log 50 as log (100/2). We will use the quotient rule of logarithms.log 50 = log 100 - log 2
We know, log 100 = 2 and log 2 = 0.301∴ log 50 = 2 - 0.301
log 50 = 1.699 Substituting the value of log 50 = 1.699 in the main equation, log 150 = log 50 + log 3log 150 = 1.699 + 0.477log 150 = 2.176
Therefore, the final answer to the question log 150 = 2.176
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Normal curve g has a mean of 50 and a standard deviation of 5. Normal curve h has a mean of 50 and a standard deviation of 10. How do the shapes of these two normal curves compare if they are drawn using the same scale?.
Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.
Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.
If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.
If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.
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