What is the solution set to the inequality m-7>-2(m+0.5)?
Select a ray. Move the point on the ray to the correct place on the number line.
Answers
The solution set to the inequality m-7>-2(m+0.5) is all real numbers greater than -0.75.
What is real numbers?Real numbers are the set of all rational and irrational numbers, which includes all positive and negative numbers, fractions, decimals, and integers. They are represented on the number line and are composed of an infinite amount of numbers between any two given numbers.
This can be represented graphically on a number line by selecting a ray starting at -0.75 and extending infinitely in the positive direction. The point on the ray at -0.75 represents the boundary between the solution set and the numbers not included in the solution set.
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Related Questions
what is (2.49 x 10^4)\(3.0x 10^2) written in scientific notation?
a. 8.3 x 10^1 b. 0.83x 10^2 c. 83x 10^2 d. 830x 10^1
Answers
The rules of scientific notation are similar to the laws of exponents (if u know them) in the sense that: 10^a / 10^b is equal to 10^(a-b)
So, 10^4 / 10^2 = 10^(4-2) = 10^2.
Then, you divide 2.49 by 3.0 and you get 0.83. But correct scientific notation requires the decimal to be one digit right of the first significant digit, so 0.83 becomes 8.3 and when you change the decimal place you also have to change the scientific notation. So 0.83 x 10^2 becomes 8.3 x 10^1 because we are moving the decimal place to the right. When the decimal moves to the right the power of ten decreases and when the decimal moves to the left it increases.
Hope this helped!
For the following exercises, find functions
f(x) and g(x) so the given functions can be expressed as h(x)=f(g(x)). There are multiple possible answers. If the answers require exponents, enter the answer with an exponent in f(x) but not in g(x).
h(x)= 8/(x+4)^2
Answers
The functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
How to find functions f(x) and g(x) so the given functions can be expressed as h(x) = f(g(x))?The function h(x) is given as:
h(x) = 8/(x + 4)^2
The definition of the function h(x) is
h(x) = f(g(x))
So, we have:
f(g(x)) = 8/(x + 4)^2
Let g(x) = x + 4
So, we have:
f(g(x)) = 8/(g(x))^2
Express g(x) as x
So, we have:
f(x) = 8/x^2
Hence, the functions f(x) and g(x) so the given function can be expressed as h(x) = f(g(x) are f(x) = 8/x^2 and g(x) = x + 4
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I’m not sure what to do
Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
First of all, it's a graph of mod function, which is transformed.
So, let's proceed with taking graph of modulus initially ~
[tex]\qquad \sf \dashrightarrow \: y = |x| [/tex]
The required can be tranformed by moving it three units left and four units down.
so, we need to add 3 to x within the function to move it left by units.
i.e
[tex]\qquad \sf \dashrightarrow \: y = |x + 3| [/tex]
Now, to move it down by 4 units we need to subtract 4 from the whole function.
[tex]\qquad \sf \dashrightarrow \: y = |x + 3| - 4[/tex]
So, the correct choice is : C
the required can be transformed by moving at 3 units left and 4 units down do you understand ? after that are 3 and x
y = x + 3
now to move it down by 4 units we need to subtract for from the whole function which is y is equal to x + 3 - 4
y = |x+3| - 4
the answer is c
Line L intersecting plane M at Q
Answers
-4 1/2 + 3 1/4 I need help solving this question. And please show me the steps.
Answers
It should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
How to illustrate the information?It should be noted that fractions are not while numbers. The number at the top is the numerator and the number down is the denominator.
In this case:
- 4 1/2 + 3 1/4
= - 4 2/4 + 3 1/4
= - 1 1/4
Therefore, it should be noted the difference between - 4 1/2 and 3 1/4 is - 1/14.
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Write 21 50 as a percent and as a decimal.
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Use properties of operations to add (−3) and (−17) IF RIGHT I WILL GIVE BRAINIEST
a b c or d
A: −20
B: 20
C: −14
D: 14
Answers
Answer:
14
Step-by-step explanation:
because if you subract -17 it will become a postive 17 and 17-3 is 14
y=(-3)-(-17)y=(-3)+17y=14Hope this helps!
If you have anyother questions feel free to ask!
One employee have a computer store is Peter base salary of $2000 a month plus a 2% commission on all sales over $6000 during the month how much Muslim please tell in one month on a total of $5000 for the month
Answers
The employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
The basic salary of the employee = $ 2000
Now he wants to earn $ 5000.
That means he has to earn 4 500 - $ 2000 = $ 3000 from the sales commission that he gets.
Sales commission is 2 %.
Let the sales above $ 6000 be x
2 % x = 3000
2 / 100 x = 3000
2 x = 3,00,000
x = 1,50,000
Total sales = $ 6000 + $ 1,50,000 = $ 1,56,000
Therefore, the employee must make a sale of $ 1,56,000 to get a total salary of $ 5000 with the commission rate as 2 %.
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Find the equation to the line below.
y=4/5x +?
Answers
Answer:
y =x - 1
Step-by-step explanation:
Slope intercept of a line: y =mx + bHere, m is the slope and b is the y-intercept.
Plot any two points on the line. (5,4) & (0,-1)
[tex]\sf \boxed{Slope =\dfrac{y_2-y_2}{x_2-x_1}}[/tex]
[tex]\sf =\dfrac{-1-4}{0-5}\\\\=\dfrac{-5}{-5}\\\\=1[/tex]
m = 1
At y-intercept x = 0. So, the -1 is the y-intercept.
m = 1 & b = -1
y = 1x + (-1)
Country A produces about six times the amount of diamonds in carats produced in country B.If the total produced in both countries is 28,000,000 carats
Answers
The diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
Here, we are given that Country A produces about six times the amount of diamonds in carats produced in country B.
Let the diamonds produced by country B be x
Then, the diamonds produced by country A will be 6x
The total diamonds produced by the two countries = 28,000,000
Thus, we can get the following equation-
x + 6x = 28,000,000
7x = 28,000,000
x = 28,000,000/ 7
x = 4,000,000
⇒ 6x = 24,000,000
Thus, the diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
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Question 2 If n = 22, + = 30, and s = 7, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population. Give your answers to three decimal places.
Answers
The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
In statistics, a confidence interval is a range of values that is determined through the use of observed data, calculated at a desired confidence level that may contain the true value of the parameter being studied.
The formula used for the calculation of confidence interval is given by
Confidence level = X bar ± Z×σ/√n
where, X bar is the sample mean, Z is the confidence level value, σ is the sample standard deviation and n is the sample size.
Given that, n = 22, X bar = 30, σ = 7 and Z = 2.326 for 98%
= 30 ± 2.3263 × 7/√22
= 30 ± 3.472
= [26.528 – 33.472]
Therefore, The confidence interval for n = 22, X bar = 30 and σ = 7 at a 98% confidence level is 30 ± 3.472 which means the value will range between [26.528 – 33.472] respectively.
Hence, 30 ± 3.472 or [26.528 – 33.472] is the required answer.
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Find the value of unknown
Answers
The value of x is 52° and the value of y is 104 ° as calculated using the chord properties of a circle.
A circle is defined as the locus of a moving point such that the distance of the point from a fixed point is always same.
A chord is a straight line joining any two points on a circle.The diameter is the largest chord.The angle subtended by the diameter at the center is always 90° .In the given figure AC is the diameter of the circle.
We know that the angle subtended by the chord is always 90°.
∴∠CBA = 90°
Now in ΔABC
∠ABC+∠BCA+ ∠CAB =180° (sum of all angles of a triangle is always 180°)
or, 90° + 38° + x° = 180°
or, 128° + x° =180°
or, x = 52°
Again in ΔDBC ,
DB=DC (radius of the circle)
∴∠DCB = ∠DBC (base angles of an isosceles triangles are equal)
∴∠DBC = 38°
Again in ΔDBC
∠DBC+∠BCD+ ∠CDB = 180° (sum of all angles of a triangle is always 180°)
or, y = 180° - 76°
or, y = 104°
Therefore the value of x is 52° and the value of y is 104 ° .
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A mile is 5,280 feet between which two integers is the elevation of the trench in miles-22,889 feet is between and miles
Answers
The elevation of the trench is between 4 miles and 5 miles.
Between which integers is the elevation of the trench in miles?
Herein we have the information of the elevation of the trench in feet and we need to determine between which integers in miles is that elevation, based on the unit conversion from feet to miles. The exact elevation in miles is found by simple rules of three:
x = 22,889 feet × (1 / 5,280 miles / feet)
x ≈ 4.335 miles
The elevation of the trench is between 4 miles and 5 miles.
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COMPLETE
You can verify that your answer is a solution to the original equation by checking -1/2(-14)-3=4 is a
true statement. Which property of equality allows you to do this?
Oreflexive
Otransitive
substitution
Answers
Explanation:
Think of a substitute teacher. They temporarily replace your original teacher. The same idea applies with replacing the variable with a number.
For example, the equation x+2 = 7 has the solution x = 5. We can check this by substituting or replacing x with 5 to say 5+2 = 7, which is indeed a true mathematical statement. This confirms the solution.
Solve the inequality and express your answer in interval notation.
x^2+ 12x+7<0
Answers
The solution in interval form is given as (-∞, -6-√29
] or [-6+√29, ∞)
Inequality expressionGiven the quadratic inequality below;
x^2+ 12x+7<0
Using the general formula
x = -12±√12²-4(1)(7)/2(1)
x = -12±√144-28/2
x = -6±√116/2
x = -6±√29
Hence the solution in interval form is given as (-∞, -6-√29
] or [-6+√29, ∞)
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please help asap no one has been able to solve it :(
I need help
Answers
Answer:
givenMultiplication property of equalityMultiplicative inverse propertyMultiplicative identity propertyAddition property of equalityAdditive inverse propertyAdditive identity propertyStep-by-step explanation:
You are given the solution to a 2-step linear equation and asked to identify the properties of equality and operations that support the steps of the solution.
Steps5(x -3) = 20 . . . . This is the Given equation we're solving.
(1/5)(5(x -3)) = (1/5)(20) . . . . Both sides are multiplied by 1/5. The Multiplication property of equality says you can do this without changing the value of the variable.
1(x -3) = 4 . . . . (1/5)(5) is replaced by 1. The Multiplicative inverse property tells you the product of a number and its multiplicative inverse is 1.
x -3 = 4 . . . . 1(x -3) is replaced by (x -3). The Multiplicative identity property tells you multiplication by 1 changes nothing. These properties of multiplication are what allow you to remove the factor of 5 from the equation.
Now, we're about to do the same thing with addition: use its properties to remove the unwanted -3.
x -3 +3 = 4 +3 . . . . 3 is added to both sides. The Addition property of equality says you can do this without changing the value of the variable.
x +0 = 7 . . . . -3+3 is replaced by 0. The Additive inverse property tells you the sum of a number and its additive inverse is zero.
x = 7 . . . . x+0 is replaced by x. The Additive identity property tells you addition of 0 changes nothing. These properties of addition are what allow you to remove the added -3 from the equation.
__
Additional comment
Clearly, for exercises like this, it is essential to know the names of these properties and what they mean. Once you understand cancelling multiplication using multiplicative inverses, and cancelling addition using additive inverses, you are on your way to solving most algebra problems.
You must always keep in mind the properties of equality that tell you the same operation must be performed on both sides of the equal sign.
Understanding these properties can also help you understand the relation between multiplication and division, addition and subtraction. Division is multiplication by the multiplicative inverse; subtraction is addition of the additive inverse.
Five more than the quotient of a number and 9 is equal to 3
Answers
Answer:
5+n/9=3
Step-by-step explanation:
Question 8, 1.2.35-PS
Part 1 of 5
iew an example
HW Score: 44.44%, 4
O Points: 0 of 1
- Scatterplots and Graphs
K
If a ball is thrown into the air at 96 feet per second from the top of a 109-foot-tall building, its height can be modeled by the function S=109+961-162, where S is in feet and t is in seconds.
Complete parts a through e below.
a. Graph this function for t representing 0 to 8 seconds and S representing 0 to 300 feet. Choose the correct graph below.
Answers
The quadratic function in this problem is represented by Graph C.
What is the quadratic function for this problem?The quadratic function for the projectile height after t seconds is given by:
S(t) = 109 + 96t - 16t²
From this, we have that:
Due to the negative coefficient of t², it is a concave down parabola, which remoces option d.The initial height is of 109 feet, which removes option b.The initial velocity is positive, which means that the parabola has increasing height for a while before decaying, which removes option A.Thus, the quadratic function in this problem is represented by Graph C.
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Find the distance of the line segment below.
___ units
Answers
Answer:
let (5,4)=(x1,y1)
(-3,-2)=(x2,y2)
now, by using distance formula
we get distance between line segment =10 unit
therefore distance =10 units ans
Solution,
As the formula...
[tex] = \sqrt{( - 3 - 5 {)}^{2} + ( - 2 - 4 {)}^{2} } [/tex]
[tex] = \sqrt{( - 8 {)}^{2} + ( - 6 {)}^{2} } [/tex]
[tex] = \sqrt{64 + 36} [/tex]
[tex] = \sqrt{100} [/tex]
= 10 units...
☘☘☘....
How tall is the flag pole (please give explanation too)
Answers
Answer:
22 3/4 ft
Step-by-step explanation:
The diagram seems to show a 6 1/2 ft person casting a 9 ft shadow at the same time a flagpole is casting a 31 1/2 ft shadow. You want the height of the flagpole.
ProportionShadow lengths are presumed proportional to the height of the object making them. This means ...
h/(31 1/2) = (6 1/2)/9 . . . . . all lengths in feet
Multiplying by 31 1/2, we get ...
h = (31 1/2)(6 1/2)/9 = (819/4)/9 = 91/4
h = 22 3/4 . . . . ft
The flagpole is 22 3/4 feet tall.
Find B if A=70° and a + b = 80°
Answers
Answer:
B=30°
Step-by-step explanation:
Recall that the sum of interior angles of a triangle equals to 180°. So basically
[tex]A+B+\alpha+\beta=180^{\circ}[/tex]
[tex] \implies B + {70}^{ \circ} + {80}^{ \circ} = {180}^{ \circ} \\ \implies B = {180}^{ \circ} - {150}^{ \circ} \\ \implies B = \boxed{{30}^{ \circ} }[/tex]
How many solutions does 2b - 5 = 9 have
Answers
Answer:
1 solution
b=7
Step-by-step explanation:
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2b - 5 = 9
2b=14
b=7
1 solution
Find the missing number: 11, 29, 11, when average (mean) Is 17
Answers
The missing number (x) from the sequence → 11, 29, 11, x is 17.
We have the mean of given set of numbers.
We have to identify the missing number.
What is mean of a given set of data ?The mean in math and statistics summarizes an entire dataset with a single number representing the data's center point or typical value. It is calculated using the formula -
Mean (M) = ∑a[i] / n
where -
∑a[i] = sum of the elements in a data set
n = total number of elements
According to the question - assume that the missing number is x. Then, we have -
11, 29, 11, x
Now, using the formula of mean -
M = ∑a[i] / n
17 = (11 + 29 + 11 + x)/4
68 = 51 + x
x = 68 - 51
x = 17
Therefore, the missing number is 17.
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Drag the purple points to show the location of G, H, and I after a 90° clockwise rotation around (0, 0) Then enter the coordinates of G', H, and I' in the table.
Answers
Answer:The value of coordinates G', H', and F' are (1,6) , ( 7,3) and (4 , 0) respectively.What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.For example (5,3) here 5 will be for the x and 3 will be for the y.Another example is (9,0) here 9 is for x and 0 is for y.
Step-by-step explanation:
In the triangle above, if BC = 21 and sin A = 0.7, what is the length of AB?
With explanation
Answers
Simon measures the length of an insect that is 2.5 inches long for a science
project. He needs to record his data in centimeters. How long is the insect
in centimeters?
Answers
If the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
Given,
The length of the insect = 2.5 inches
Convert inches to centimeter
We know,
1 inches = 2.54 centimeter
2.5 inches = 2.54× 2.5
=6.35 centimeter
Hence, if the length of the insect is 2.5 inches long, then the length of the insect in centimeter is 6.35 centimeter
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help with 2,3,&4. pleaseee!! wil mark as brainly list
Answers
Answer:
brainly list not allowed macht
Ahmed wants to divide BD 5500 in the ratio 2:4:5 for 3 charity organizations. Can you help him to divide the money?
Answers
We need to know about ratio for solving the problem. Ahmed has to divide the money as 1000, 2000 and 2500.
In simple words ratio indicates how many times one number contains other. With the help of this division we need to assume a number x which is held 2 times in first part, 4 times in second part and 5 times in third part of the total money that Ahmed wants to divide. We can find the ratio of a quantity to another by dividing one quantity by the other and cancelling the common factors. For this question we have a total amount of money 5500 which we need to divide in ratio 2:4:5 in other words we can say that the three parts are 2x,4x and 5x, these three parts will add up to be 5500. So we can write
2x+4x+5x=5500
11x=5500
x=500
The three parts of the money will be 2x500=1000, 4x500=2000 and 5x500=2500
Therefore we found using the concept of ratio that Ahmed needs to divide his money as 1000,2000 and 2500.
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The perimeter of a rectangular field is surrounded by 96 meters of fencing. If the field is partitioned into two parts as shown, a total of 110 meters of fencing is required. Find the dimensions of the field.
Answers
The dimensions of the field is Length = 34 meters, width = 14 meters.
Let rectangle: x for width, y for length.
2 ( x + y ) = 96
x + y = 48
2 ( x + y ) + x = 110
x = 110 - 96
x = 14
x + y = 48
y = 48 - 14 = 34
Length = 34 meters, width = 14 meters.
A quadrilateral with equal angles and parallel opposing sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and breadth of any rectangle form serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
A closed shape with four sides that forms a 90° angle is known as a rectangle. A rectangle can have many different characteristics. The following list includes some of a rectangle's key characteristics.
A quadrilateral is a rectangle.
A rectangle's opposing sides are equal and parallel to one another.
Each vertex of a rectangle has a 90° internal angle.
360° is the total of all interior angles.
The diagonals cut each other in half.
The diagonals are all the same length.
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Write the slope, intercept form of the equation of the line describe
Through (3,-2) and parallel to y=-x+5
Answers
Answer:
y = - x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x + 5 ← is in slope- intercept form
with slope m = - 1
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c substitute (3, - 2 ) into the partial equation
- 2 = - 3 + c ⇒ c = - 2 + 3 = 1
y = - x + 1 ← equation of parallel line