To solve the inequality, subtract 8 from both sides. The solution is t ≥ 11 or [11, ∞)
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
t+8 ≥ 19
Subtract 8 from both sides. Subtracting a number from both sides will not change the inequality. Hence,
t+8 - 8 ≥ 19 - 8
t ≥ 11
Using the interval notation, the solution is [11, ∞)
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Translate this phrase into an algebraic expression, Nine more than the quotient of a number and 7 is 6
Answer:
x/7 + 9 = 6
Step-by-step explanation:
Hope this helps! Please give brainliest!
Please help!!
Here are Stages 1-4.
What stage will have closest to 1,000,000,000 circles?
Use a calculator if it helps you with your thinking.
Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].
What is the circle?
A circle is a round-shaped figure that has no corners or edges.
In geometry, a circle can be defined as a closed, two-dimensional curved shape.
So, the calculation is:-
Now, Multiplying by [tex]2[/tex]
[tex]2 * 2 = 4[/tex]
[tex]4 * 2 = 8[/tex]
[tex]8 * 2 = 16[/tex]
[tex]16 * 2 = 32[/tex]
[tex]32 * 2 = 64[/tex]
[tex]64 * 2 = 128[/tex]
[tex]128 * 2 = 256[/tex]
[tex]256 * 2 = 512[/tex]
[tex]512 * 2 = 1,024[/tex]
[tex]1,024 * 2 = 2,048[/tex]
[tex]2,048 * 2 = 4,096[/tex]
[tex]4,096 * 2 = 8,192[/tex]
[tex]8,192 * 2 = 16,384[/tex]
[tex]16,384 * 2 = 32,768[/tex]
[tex]32,768 * 2 = 65,536[/tex]
[tex]65,536 * 2 = 131,072[/tex]
[tex]131,072 * 2 = 262,144[/tex]
[tex]262,144 * 2 = 524,288[/tex]
[tex]524,288 * 2 = 1,048,576[/tex]
[tex]1,048,576 * 2 = 2,097,152[/tex]
[tex]2,097,152 * 2 = 4,194,304[/tex]
[tex]4,194,304 * 2 = 8,388,608[/tex]
[tex]8,388,608 * 2 = 16,777,216[/tex]
[tex]16,777,216 * 2 = 33,554,432[/tex]
[tex]33,554,432 * 2 = 67,108,864[/tex]
[tex]67,108,864*2 = 134,217,728[/tex]
[tex]134,217,728* 2 = 268,435,456[/tex]
[tex]268,435,456 * 2 = 536,870,912[/tex]
[tex]536,870,912* 2 = 1,073,741,824[/tex]
Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].
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Find the midpoint of the segment with the given endpoints.
(-2,2) and (10,0)
Answer:
I think it’s (4,1)
Number 13 and 9 please
Answer:
9.5>6 41.8>0
Step-by-step explanation:
there is a 91% chance of seeing a shooting star in the next hour, what is the probability of seeing a shooting star in the next half hour?
136.5 percent chance.
91 percent in one hour
how much percent in 1.5 hour?
we need to find how much percentage is in 0.5 hour
91 divided by 2 = 45.5
91 + 45.5 = 136.5
Am i bad? pls tell
65.28 ÷ 12
round it to the nearest tenth If necessary.
Answer:
5.44
Step-by-step explanation:
I need help asap!!!!
Answer: The first one is correct.
Step-by-step explanation:
x = 3
y = -2
So: 2 x 3 + 2 x (-2) = 6 + (-12) = -6
please help i will give out brainlist
Based on the definition of supplementary angles:
x = 5
The measure of angle 6 = 30°
What are Supplementary Angles?If two angles are supplementary, when added together, their sum will equal 180 degrees.
We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.
Hence, we would have the following equation:
m<5 + m<6 = 180
Substitute
40x - 50 + 5x + 5 = 180
Add like terms
45x - 45 = 180
45x = 180 + 45
45x = 225
45x/45 = 225/45
x = 5
The measure of angle 6 = 5x + 5 = 5(5) + 5
The measure of angle 6 = 30°
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show work needed please!
Answer: 120
Step-by-step explanation:
V= {(4+2)² x 10}/3 = 120
Help with problem 20 please
The rate of change will be 0.074 grams per year.
How to calculate the rate?The change in hydrocarbon will be:
= 3.4 - 0.8
= 2.6
The number of years will be:
= 2007 - 1972
= 35
Therefore, the rate will be:
= Change in hydrocarbon / Years
= 2.6 / 35
= 0.074 grams per year.
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9. The table shows the relationship between the number of targets a person
hits in a game of laser tag and that person's score.
Targets hit
3
4 5 6
Score
8 16 24 32 40 48
0 1 2
0
The table shows relationship between the number of targets a person
hits in a game of laser tag and that score of that person. The table shows is a continuous graph.
What is a continuous function in a graph?As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil. In calculus, learning about a function's continuity is crucial since without it, a function cannot be differentiated.
If a function's graph is a continuous curve without any holes, gaps, or breaks, it is said to be continuous.
Now,
x-axis on the graph show "Target hit" and y-axis shows "Score"
Graph the points using a graphing calculator.
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The complete question is:
"The table shows the relationship between the number of targets a person
hits in a game of laser tag and that person's score.
Target hit 0 1 2 3 4 5 6
Score 0 8 16 24 32 40 48"
W X Y Z is a square. If W T=3 , find each measure. m∠WTZ
Step-by-step explanation:
In this exercise we have to use the knowledge of quadrilaterals to calculate the measures of each side of the square, in this way we can say that it will be valid:
Given in the exercise that each the value of:
WT=3
The diagonals of a square are congruent, and bisect each other, that will help to find:
express 121,200 in exponential (powers of 10) notation. express the earth sun distance in kilometers in powers of 10 notation.
The exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]
For given question,
We need to express 121,200 in exponential (powers of 10) notation.
To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.
The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.
So, the exponential notation of given number would be,
121,200 = 1.212 × [tex]10^5[/tex]
Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.
So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.
So, the distance between he Earth and the Sun is:
150,000,000 = 1.5 × 10⁸
Therefore, the exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]
And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]
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One of two supplementary angles measures 6 degrees less than twice
the other. How large are the angles?
Answer:
adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .
consider a little league team that has 13 players on its roster. a. how many ways are there to select 9 players for the starting lineup? b. how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters? c. suppose 6 of the 13 players are left-handed. how many ways are there to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players?
There are 715 ways to select 9 players for the starting lineup.
Permutation is used whenever there is arrangement or where order is important . denoted by [tex]P(n,r)=\frac{n!}{(n-r)!}[/tex]
n= no of item , r = no of items to be arranged.
Combination is used when there is selection . denoted by[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]
n=no of item , r= no of item to be selected.
Part (a)
In the given question
we have to select 9 players out of 13 player , combination will be used
[tex]C(13,9)=\frac{13!}{9!*(13-9)!}=\frac{13*12*11*10*9!}{9!*4!} =\frac{13*12*11*10}{4*3*2}[/tex]=715 ways.
Part(b)
In this part we have to find how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters.
Since the batting order is important , permutation will be used.
[tex]P(13,9)=\frac{13!}{4!} =\frac{13*12*11*10*9*8*7*6*5*4!}{4!} =13*12*11*10*9*8*7*6*5[/tex]
=259459200 ways.
Part(c)
In this part we have to do selection of 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.
Since order is not important Combination will be used.
To select 3 left handers from total 6 left handers = C(6,3)
& to select 6 positions of left handers from remaining 7 right handers=C(7,6)
No of ways of selection = C(6,3)*C(7,6)
[tex]=\frac{6!}{3!*(6-3)!} *\frac{7!}{6!*(7-6)!} \\ \\= \frac{6!}{3!*3!} *\frac{7!}{6!*1!} \\ \\[/tex]
On solving further we get
[tex]= \frac{7!}{3!*3!} =\frac{7*6*5*4*3!}{3!*3*2*1} =7*5*4=140ways[/tex]
Therefore ,(a)There are 715 ways to select 9 players for the starting lineup.
(b) there are 259459200 ways to to select 9 players for the starting lineup and a batting order for the 9 starters and 140 ways .
(c)there are 140 ways to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.
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this is a super difficult math worksheet for me so please help ASAP
Answer:
Step-by-step explanation:
function notation
1) -13
2) -4
3) 7
4) 23
5) 13
6) -4
7) 14
8) -1
9) 15
10) 0
function operations
1) -3x^2 + 11x -4
2) 6x - 12
3) 3x^2 - 2x + 5
4) x^2 - 4x + 5
5) 27x^2 - 32x
6) 2x^5 + 4x^4 - 5x^3 - 10x^2
7) -6x^4 + 8x^3 + 15x^2 - 20x
8) 3x^4 - 2x^3 - 16x^2
Which built-in data type stores only whole numbers? a. whole b. number c. float d. int
The built-in data type that stores only whole numbers is int data type
Built-in data types are the data types used to declare and store the variables in the program, They are also known as primary data types
Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.
Here,
Here the condition is a built-in data type stores only whole numbers
So, the int data types satisfy these conditions
Hence, the built-in data type that stores only whole numbers is int data type
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Consider this equation. (4x)1/3 - x = 0 The first step in solving this equation is to ___The second step is to ____ Solving this equation for x initially yields _____ Checking the solutions shows that _____
The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.
The equation given is [tex]4x^{1/3}[/tex]- x = 0
We need to solve it stepwise.
The first step will be to to move -x to RHS.
[tex]4x^{1/3}[/tex]- x = 0
or
[tex]4x^{1/3}[/tex] = x
The second step is to solve to get the values of x.
4x = x³
4x - x³ = 0
x (4 - x²) = 0
So , this will give us two equations which are ,
x = 0
and
4 - x² = 0
or
x² = 4
x = ± 2
So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.
Thus , the solutions will be x = -2, 0, 2.
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In Maryland, The sales tax rate is 6%. What is the tax, in dollars and cents, on a $32.74 purchase? Round your answer to the nearest cent.
Answer:
answer is, 1.96, 32.76%6=1.96
Answer:
Step-by-step explanation:
$32.74 x 6% = $34.70
$1.96 for specifics, rounds to $2.00
AP STATS.
does anyone know how to divide these and calculate frequency?
Answer:
class:11-20
21-30
31-40
.
.
.
81-90
Step-by-step explanation:
On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B?
The diagram shows three lines with some marked angle measures.
?
?
70°
?
?
53°
?
Find the missing angle
measures marked with
question marks.
The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.
How to determine the measures of the missing angles of a geometric system
In this question we have a geometric system generated by three lines, where two lines pass through the first lines and four angles are generated on each intersection. The measures of the missing angles can be found by the following concepts:
Vertical angles - Two angles opposite to each other have the same measure.Supplementary angles - Two angles adjacent to each other that a total measure of 180°.The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.
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As the degrees of freedom increase, the t distribution approaches the _____ distribution. a. exponential b. p c. normal d. uniform
As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.
What is the degrees of freedom (DF)?The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.
What is a normal distribution?A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.
In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.
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PLEASE HELP WILL MARK BRAINLIEST
Answer:y=-3, x=6
Step-by-step explanation:
Answer:
x=6 y=-3
Step-by-step explanation:
Nate is looking for a repair service for general household maintenance. One
service charges $75 to join the service and $30 per hour. Another service charges
$15 to join the service and $40 per hour. After how many hours of service is the
total cost for the two services the same?
Answer: Total cost for the two services of hours = $6.
Step-by-step explanation:
Given data,
Nate is looking for a repair service for general household maintenance.
First service charges = $75
First service charge per hour = $30 per hour
Another service charges = $15
Another service charge per hour = $40 per hour
Total cost of hours of service is = x
So,
We can write,
75 + 30x = 15 + 40x
Rearrange variables to the left side of the equation,
30x - 40x = 15 - 75
Combine like terms,
-10x = 15 - 75
Calculate the sum or difference,
-10x = -60
Divide both sides of the equation by the coefficient variable,
x = -60/-10
Determine the sign for multiplication or division,
x = 60/10
Cross out the common factor,
x = 6
Therefore,
Total cost for the two services of hours = $6.
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What is the area of the shades region below
Answer:
243m²
Step-by-step explanation:
work out 18x18=324
work out 9x9=81.
324-81= 243
Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.
+
A.
B.
A. Graph A
B. Graph B
C. Graph C
D. Graph D
N N
C.
D.
finance
SURPRISE!
Here's a $10
financet
Instant Cred
Answer:
b , d
Step-by-step explanation:
Monthly Water Bills
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
Write the formula for the mean water bill for the entire year using sigma notation.
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
What is the sigma notation?To depict a series in a succinct format, summation or sigma symbols can be employed. The sum is denoted by the Greek capital letter ∑, The series 4+8+12+16+20+24 has the formula 6∑n=14n. As n increases from 1 to 6, the statement is read as the total of 4n.
What is the purpose of sigma notations?Summation notation (also known as sigma notation) allows us to express a large sum in a single phrase.
What is the definition of a math term?The mean in mathematics and statistics is the average of a set of values. There are several methods for computing the mean, including the simple arithmetic mean, the geometric mean, and the harmonic mean.
According to the given data:x₁ x₂ x₃ x₄ x₅ x₆ x₇ x₈ x₉ x₁₀ x₁₁ x₁₂
$40 $42 $40 $38 $48 $50 $58 $62 $56 $46 $44 $44
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
[tex]\bar{x}[/tex] = (40+42+40+38+48+50+58+62+56+46+44+44)/12
= 568/12
= 47
The calculation for the average water bill for such entire year in sigma notation.
[tex]\bar{x}=\frac{1}{12} \sum_{i=1}^{12} x_i[/tex]
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a pesticide manufacturer is developing a new type of organic pesticide for a particular plant. to study the effectiveness of the new pesticide, a large sample of young plants is collected. the sample is then separated into many groups of two plants based upon age, size and soil type so that plants with similar characteristics are grouped together. one of the two plants in each group is randomly chosen and administered the pesticide, while both plants are placed in a controlled environment and are exposed to the possibility of attack from the target pests. the plants are inspected regularly over a 3 month period and the results are recorded for comparison.
According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.
In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.
What are matched pair experiments.?
Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.
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A sample of n=225 scores has =103 and s2 =16. what is the sample standard deviation?
Based on the calculations, the sample standard deviation is equal to 4.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
[tex]Z=\frac{\bar x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:
Note: Variance, δ² = 16
Taking the square root of the variance, we have:
Standard deviation, δ = √16
Standard deviation, δ = 4.
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Complete Question:
A sample of n=225 scores has [tex]\bar x[/tex] = 103 and δ² = 16. What is the sample standard deviation?