Answer:
x = 9Step-by-step explanation:
2x-10=8
2x = 10 + 8
2x = 18
x = 18 : 2 =
x = 9
-----------------------
check
2 * 9 - 10 = 8 (remember PEMDAS)
18 - 10 = 8
8 = 8
the answer is good
Sergio is learning about the six different skill-related components of fitness. What are these skill-related components? How does each component enhance performance levels?
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
What are these skill-related components?While performing tasks during gymnastics she needs balance so that she can maintain and control a particular position.
Body design, muscular power and steadiness, flexibility and cardio-respiratory endurance are the components of fitness. Fitness is a major component of a healthy lifestyle.
Balances are of two types dynamic and static. Balance used while moving and performing the task is dynamic balance while performing in a standing position is static balance.
Gymnasts require balancing as the main component cause they use poles and beams to perform their tasks.
Therefore, balance is the skill mainly required in gymnastics.
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Which of the following are square roots of the number below? Check all that
apply.
4
A. 41/2
B. 8
C. -41/2
D. 2
E. -2
F. 16
Answer:
D. 2
E. -2
Step-by-step explanation:
Simplify completely!!!
Answer:
h^24
Step-by-step explanation:
hope that helpssndbfbsb
15 In the figure, O is the centre of the circle. The diameter of the circle, AB, is 14 cm, and
is the same as the length of each side of the square PQRS. Find
Answer:
56cmsquared
Step-by-step explanation:
if you look clearly at that question that diagram which has the coloured part out of that small square comes a quarter circle.
now take that quarter circle and get its area .
then put a dotted line such that they'll be formation of a triangle in that quarter circle.
then get the area of that quarter triangle in minus it from the area of the quarter circle.
and you'll get the area of 1 shaded part because you had subdivided those shaded parts by the dotted line you had kept earlier in order to emerge with a triangles
after that what multiply what you got by two to get the whole shaded part then finalize by multiplying by two because two shapes were shaded.
good day
Suppose that A ∩ C = B ∩ C. Is it true that A=B? Justify your answer.
Answer:
No
Step-by-step explanation:
If these two individual statements are true, it means they share the same elements of set C. In addition to this, sets A and B could have additional elements, hence this cannot be true.
(a) {(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³
Answer:
8
Step-by-step explanation:
You should have this in mind , one raise to the power of any number is one and also any number with the power zero is 1.
{(1)¹⁰⁰ + (−1)¹⁰¹+(2500)⁰} x2³
= 1 - 1 + 1 × 8
= 1 - 1 + 8
= 1 +7
= 8
there are 20nstudents in a math class who have brown hair this represent 80 percent of the students in the class with equation can be used to find the total os student in the math
Answer:
Equation is 20 = 0.8 time x
x=25
Step-by-step explanation:
80% = 0.8
So to find x we 20/8
and we get 25 as the final answer
Suppose the derivative of a function is ′()=(−7)^7(−2)^2(+13)^10. Then the function is increasing on the interval _____.
Pandas: There is a well-studied panda population in Wuyipeng. In 1981 there were 25 pandas and the researchers determined that they had an annual population grows by 6.6% each year. Which of the following models correctly represents this data?
The equation that models the data on pandas is FV = 25(1.066)^t.
What models the data?The formula for calculating future value of the pandas is:
FV = P (1 + r) ^n
FV = Future value P = Present value R = annual population growthN = number of yearsFV = 25(1.066)^t
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Write 9.7 to one significant figure
9.7 to one significant figure is 10
How to approximate the number?We have:
9.7
To approximate to one significant figure, we have to estimate the number such that it is represented by a non zero digit.
When 9.7 is approximated, we have:
10
Hence, 9.7 to one significant figure is 10
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In 2005 , a study at Blinn College was conducted to determine whether a relationship exists between a student who eats breakfast and his or her Biology grade. The study examined 1259 college students on a specific biology test. The accompanying tables show the relative frequency, by grade, of the 825 students who did eat breakfast and the 434 who did not eat breakfast on the morning of the test.
Students who did not eat breakfast
Grade Relative frequency
A 0.10
B 0.19
C 0.22
D 0.17
F 0.32
Students who ate breakfast
Grade Relative frequency
A 0.18
B 0.38
C 0.17
D 0.14
F 0.14
Select the statements that are accurate regarding the given data sets.
Eating breakfast ensures that a student will pass an exam.
The data show that skipping breakfast is associated with earning lower exam grades.
There is an increase in B's for those who do eat breakfast before the exam.
The data shows that skipping breakfast is not associated with earning lower grades.
Students are more likely to earn an A on an exam if they do not eat breakfast.
Answer:
1. The data show that skipping breakfast is associated with earning lower exam grades.
2. There is an increase in B's for those who do eat breakfast before the exam.
Let’s say you bought a car for $16,500. The car is expected to last 8 years and then it can be sold for scrap for $500. The value at the end of the life of the car is sometimes called the “salvage value” or “residual value.” Part A: If we assume that the relationship between the value of the car and the year is linear, how much will the value of the car depreciate each year? Explain your strategy. Part B: Complete the table of values. Years of Ownership Value of the Car 0 1 2 Part C: Create a sketch of the data points on your paper. Be sure to label the graph thoroughly. Would it make sense to connect the points? 3) Consider all of the information you have collected in Question 2. Part A: Write an equation for the value of the car in terms of the year. Part B: What is the slope of the line? Explain what the slope means in this context. 4) Are the value of the car and the number of years since the car was purchased proportional? Justify your response. 5) Look at the changes in the value of the car and the corresponding changes in the years of ownership. Are the changes proportional? How do you know? 6) Examine the proportionality of these two equations: � = 2� + 3 � = 2� Which is an example of a linear equation that is also proportional? Justify your
Answer:
value of car depreciate each year = $2000
y + 2000x = 16,500
slope of line = -2000
No, not proportional
Step-by-step explanation:
Value of depreciation of an object is given by :-
Depreciation = [tex]\frac{ total Cost-scrap value}{estimated life}[/tex]
according to question ;
total cost = $16500
scrap value = $500
estimated life = 8 years
therefore,
depreciation = [tex]\frac{16500 - 500}{8}[/tex] = [tex]\frac{16000}{8}[/tex] = $2000
now,
let the value of car after 'x' years be 'y'
therefore linear equation showing the relation of x and y is
y + 2000x = 16500
The graph of a linear equation is a line.
If c = 0 in a linear equation (so y = mx), then the equation is a proportional linear relationship between y and x.
If c ≠ 0, then y = mx + c is a non-proportional linear relationship between y and x.
here equation is of type,
y = mx +c, thus it is not linear.
also in the equation y = mx +c,
'm' is the slope of line
therefore by comparing the equation,
y +2000x = 16500
y = -2000x + 16500
slope is - 2000
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The segments shown below could form a triangle.
A
C
B
8
O
B
A. True
B. False
15
A
Answer:
False
Step-by-step explanation:
these lines are unable to form a triangle, the longest line (BA) is 15. The other small lines (AC and CB) if added together, need to be longer than 15, otherwise if you were trying to form a triangle, they would not be able to connect completely with eachother while creating a triangle shape
FInd the perimeter
14 3/4
4 1/2
8 1/2
10 2/5
10 2/5
12 4/5
The perimeter of the figure above is [tex]43\frac{22}{40} = 43\frac{11}{20}[/tex]
What is perimeter?The perimeter of a shape is the sum of the whole sides.
Therefore, perimeter of the figure is the addition of the whole length.
Hence,
perimeter = [tex]14\frac{3}{4}+4\frac{1}{2}+8\frac{1}{2}+10\frac{2}{5}+10\frac{2}{5}+12\frac{4}{5}[/tex]
let's convert to improper fraction for easy calculation.
Hence,
perimeter = [tex]\frac{59}{4}+\frac{9}{2}+\frac{17}{2}+\frac{52}{5}+\frac{52}{5}+\frac{64}{5}[/tex]
perimeter = [tex]\frac{590+180+340+60+60+512}{40} =\frac{1742}{40} = 43\frac{22}{40}[/tex]
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what is the intercepts for y=2x-7
Answer:
x-intercept: [tex](\frac{7}{2},0)[/tex]
y-intercept: [tex](0,-7)[/tex]
Step-by-step explanation:
to find the x intercept set y = 0 and solve
0 = 2x - 7
2x = 7
x = 7/2
to find the y intercept set x = 0 and solve
y = 2(0) - 7
y = -7
for the previous problem some of the work was done for you remember when solving a quadratic equation you must start with all terms on one side and put it in standard form for the following equations first put the equation in standard form and them use quadratic formula to solve 9x^2 -25 = -12-10x
4n^2-1=-12n +3n^2+11
Solving the given equations we get,
Solutions of quadratic equation [tex]9x^2-25=-12-10x[/tex] are x=0.77 and -1.88Solutions of quadratic equation [tex]4n^2-1=12n+3n^2+11[/tex] are n=12.93 and -0.93If the quadratic equation is [tex]ax^2+bx+c=0[/tex] then the solutions of this are given by,
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here in the problem given that,
The first quadratic equation is [tex]9x^2-25=-12-10x[/tex]
Converting it into standard form of quadratic equation we get,
[tex]9x^2-25=-12-10x\\9x^2-25+12+10x=0\\9x^2+10x-13=0[/tex]
So here a=9,b=10,c=-13
The solutions of the equation is given by,
[tex]x=\frac{-10\pm\sqrt{10^2-4\times9\times(-13)}}{2\times9}=\frac{-10\pm\sqrt{100+468}}{18}\approx\frac{-10\pm23.83}{18}[/tex]
So either,
[tex]x=\frac{-10+23.83}{18}=\frac{13.83}{18}\approx0.77[/tex]
Or,
[tex]x=\frac{-10-23.83}{18}\approx-1.88[/tex]
So the solutions are given by x=0.77 and -1.88
Second quadratic equation is [tex]4n^2-1=12n+3n^2+11[/tex]
Converting the equation in its standard form we get,
[tex]4n^2-1=12n+3n^2+11\\4n^2-1-12n-3n^2-11=0\\n^2-12n-12=0[/tex]
so here a=1,b=-12,c=-12
Solutions are given by,
[tex]n=\frac{-(-12)\pm\sqrt{(-12)^2-4\times1\times(-12)}}{2\times1}=\frac{12\pm\sqrt{144+48}}{2}\approx\frac{12\pm13.86}{2}[/tex]
So either
[tex]n=\frac{12+13.86}{2}=12.93[/tex]
Or,
[tex]n=\frac{12-13.86}{2}=-0.93[/tex]
Solutions are given by n = 12.93 and -0.93
Hence the solutions are x=0.77 and -1.88 for first equation and n=12.93 and -0.93 for second equation.
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North
A
72°
80m
115m
B
NOT TO
SCALE
The diagram shows the positions of three points A, B and C in a field.
(a)
Show that BC is 118.1 m, correct to 1 decimal place.
Using the cosine rule, BC = √(115² + 80² - 2(115)(80)(cos 72) ≈ 118.1 m (1 decimal place).
How to Use the Cosine Rule?If we are given a triangle with two known sides and an included angle, the cosine rule that can be used to find the side opposite to the given angle is: a = √(b² + c² - 2bc(cos A)
We are given the following:
a = BCA = 72°b = 115 mc = 80 mPlug in the values
BC = √(115² + 80² - 2(115)(80)(cos 72)
BC ≈ 118.1 m (1 decimal place)
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determine whether each pair of lines is perpendicular parallel or neither
Answer:
1st set of equations - parallel
2nd set - perpendicular
3rd set - neither
Step-by-step explanation:
First set:
simplify the equation for line 1 by dividing by -4: y = 0.5x + 1
simplify the equation for line 1 by dividing by -6: y = 0.5x - 1.5
Both have the same slope: 0.5 so the lines are parallel.
Second set:
simplify the equation for line 1 by dividing by 3: y = -2/3x + 4
simplify the equation for line 1 by dividing by -4: y = 3/2x - 7/4
-2/3 * 3/2 = -1, so the lines are perpendicular
Third set
simplify the equation for line 1 by dividing by 1/2: y = -2x+4
simplify the equation for line 1 by dividing by 2: y = -1/4x +2
-2x+4=-0.25x+2
-2x+0.25x=2-4
-1.75x=-2
x=1.14
y=-2(1.14)+4 = 1.7143. So there is an intersection point
The pair of lines 2x - 4y = -4 & 3x - 6y = 9, 2x + 3y = 12 & and 6x - 4y = 7, and x + (1/2)y = 2 & (1/2)x + 2y = 4 will be parallel lines, perpendicular lines, and neither parallel nor perpendicular, respectively.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The pair of lines is given as,
2x - 4y = -4 ⇒ y = (1/2)x + 1
3x - 6y = 9 ⇒ y = (1/2)x - 3/2
The pair of lines are parallel to each other because the slope is equal.
2x + 3y = 12 ⇒ y = -(2/3)x + 4
6x - 4y = 7 ⇒ y = (3/2) x - 7/4
The pair of lines are parallel to each other because the product of slopes is -1.
x + (1/2)y = 2 ⇒ 2x + y = 4
(1/2)x + 2y = 4 ⇒ 2x + 4y = 8
The pair of lines are neither parallel nor perpendicular to each other.
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solve the following inequality ( algebra 1 )
Answer:
m<1 OR m>7
Step-by-step explanation:
3m<5-2
3m<3
m<1
m+1>8
m>8-1
m>7
Answer:
m<1 or m>7
Step-by-step explanation:
3m + 2 < 5
3m + 2-2 < 5-2
3m < 3
[tex]\frac{3m}{3}[/tex] < [tex]\frac{3}{3}[/tex]
m < 1
[tex]\frac{m+1}{2}[/tex] > 4
[tex]\frac{m+1}{2}[/tex]*2 > 4*2
m +1 > 8
m +1 -1 > 8 -1
m > 7
Suppose f(x)=x²+4 and g(x)=2x+1.
Find the value of f(-2)g(-2).
Answer: -24
Step-by-step explanation:
I am assuming you want the value of (f × g)(-2)
[tex]f(-2)=(-2)^2+4\\f(-2) = 4+4\\f(-2)=8[/tex]
[tex]g(-2)=2(-2)+1\\g(-2)=-4+1\\g(-2)=-3[/tex]
8 × -3 = -24
please answer this! (from khan academy 6th grade math)
Answer:
(-5, -7) and the x-axis
Step-by-step explanation:
when looking for a point that is 7 points away, we are looking for a difference of 7 in either the x-value or the y-value.
[remember: a point is written as (x, y) ]
We know that the x-value is -7, meaning that it is 7 units under the x-axis (meaning that it is 7 units away)
We know that our point, (2 , -7) has the same y-value as (-5, -7), so we are looking for a change in x. The difference (which is the change) between:
-5 and 2 is 7
(2 - (-5) = 2 + 5 = 7)
so, both the x-axis and the point (-5, -7) are 7 units away from (2, -7)
(the other point (-7, 7) is not near (2 , -7) at all--they have a larger difference on both the y-values, the x-values, and the length of if you made a diagonal line)
(I've attached an image to help you visualize what we're doing)
hope this helps!!
how to find the side length of x
Which of the following statements best describes the relationship between the point (3, 0) and the system
of inequalities below?
3x +2y ≤4
(-x+ 5y > 6
A. The point does not satisfy either the top or the bottom inequalities. Therefore, it is not a
solution to the system.
B. The point satisfies the top inequality but not the bottom. Therefore, it is not a solution to the
system.
C. The point satisfies the bottom inequality but not the top. Therefore, it is not a solution to the
system.
D. The point satisfies both the top and the bottom inequalities. Therefore, it is a solution to the
system
Answer:
d because the point satisfied both
Answer:
D
Step-by-step explanation:
Rewrite the following expression
X 9/7
Answer:
X1 2/7
Step-by-step explanation:
Step-by-step explanation:
We can write it in radical form, and the denominator of the exponent became the power of the radical. That is
And
We can also write it as
And that's the simplified form of the given exponential form .
simplify: (-291) × 134
Answer:
-38,994
Step-by-step explanation:
-291*134
=-38,994
Answer:
-38,994
Step-by-step explanation:
(-291) × 134
Apply PEMDAS.
Remember,
- × - = +- × 1 = -Solution:
Evaluating,we obtain
(-291) × 134-38,994For the function G(x)=5x+1, evaluate G(−6).
Provide your answer below:
G(-6) =
Answer:
G(-6) = -29
Step-by-step explanation:
plug -6 into the equation
G(-6) = 5(-6) +1
multiply
G(-6) = -30+1
add
G(-6) = -29
ξ = {x:x is an integer, 2 ≤ x ≤ 14}
� = {x:x is a prime number}
� = {x:x is a multiple of 3}
Given that C ⊂ A, n(C)=3 and B ∩ C = ∅, list the members of a possible set C
The members of a possible set C are {6, 9, 12}
Set theoryThe universal set is the set that contains all other sets. Given the following sets
ξ = {x:x is an integer, 2 ≤ x ≤ 14}
B = {x:x is a prime number}
A = {x:x is a multiple of 3}
The sets B and A are:
B = {2, 3, 5, 7, 11}
A = {3, 6, 9, 12}
If C is a subset of A with a cardinality of 3, hence the required set will be {6, 9, 12}. Note that 3 is excluded since B n C must be an empty set.
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21 less than or equal to -3(x-4) less than 30
Answer:
-3(-4-4) would work giving you 24
Step-by-step explanation:
im sorry that qustion doesnt make sense, if you mean higher then 21, less than 30 than -3(-4-4) would work giving you 24
What is the range of y=sin(x)?
The range of y = sin(x) is [-1,1]
How to determine the range?The function is given as:
y = sin(x)
The above function is the parent function of a sine function.
A sine function has a minimum of -1 and a maximum of 1.
This is represented by the interval [-1,1]
Hence, the range of y = sin(x) is [-1,1]
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In the expansion of (3a + 4b)^8, which of the following are possible variable terms?
a2b3; a7b; ab8; b8; a4b4; a6b2; a3b4; a8
i don’t get this can someone please explain
A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. The various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.
What is a binomial expression?A binomial expression is a two-term algebraic statement with variables, coefficients, exponents, and a constant. x² + 4x is an example of a binomial polynomial.
The variable terms that are possible in the expansion of (3a + 4b)⁸ are terms whose sum of powers is equal to 8.
a²b³ → 3 + 2 = 5 ⇒ Not possiblea⁷b → 7 + 1 = 8 ⇒ Possibleab⁸ → 1 + 8 = 9 ⇒ Not possibleb⁸ → 8 ⇒ Possiblea⁴b⁴ → 4 + 4 = 8 ⇒ Not possiblea⁶b² → 6 +2 = 8 ⇒ Possiblea³b⁴ → 3 + 4 = 7 ⇒ Not possiblea⁸ → 8 ⇒ PossibleHence, the various terms that are possible are a⁷b, b⁸, a⁶b², and a⁸.
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