Answer:
f(2) = 18
Step-by-step explanation:
Put '2' into the equation where 'x' is to get :
f(2) = 2 (2^2) + 5 (sqrt(2+2)
= 8 + 5 (2) = 18
which expression is equivalent to...
Answer:
B
Step-by-step explanation:
answer is equivalent to ?
√16
√49
SA
A.
OB.
O c.
D.
16
49
16
49
316
The solution of the given expression is 9. So the correct answer is option B.
The complete question is given below:-
(√16 - √49 )² The solution of the given equation will be
A. 16
B .9
C .49
D. 316
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression will be calculated as:-
(√16 -√49 )² = (√16)² -2 (√16)(√46) + (√49 )²
= ( 16 - 2(4)(7) + 49 )
= ( 16 - 56 + 49 )
= 9
Therefore the solution of the given expression is 9. So the correct answer is option B.
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Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
=
angle of sector
360
¹) πr²
Sector Area = [?] cm²
Round to four decimal places.
Sector Area
14 cm
46°
14 cm
Enter
Based on the calculations, the area of the whole sector is equal to 4,508 cm².
Given the following data:
Angle of sector = 46°.Radius of circle = 14 cm.How to calculate the area of a sector?Mathematically, the area of a sector can be calculated by using this formula:
Area of sector = θr²/2
Where:
r is the radius.θ is the central angle.Substituting the given parameters into the formula, we have;
Area of sector = 46 × 14²/2
Area of sector = 46 × 196/2
Area of sector = 9016/2
Area of sector = 4,508 cm².
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Explain why a graph that fails the vertical-line test does not represent a function. Be sure to use the definition of a function in your answer
Explanation:
A function is a relationship where any one x-value/input only has one corresponding y-value/output. (note: a y-value can have multiple x-values).
> This can be called "assigning one y-value to every x element".
The vertical line test places a line that would connect all y-values of an x-value (that is, if it were to have multiple y-values). If multiple points can be found along the vertical line, it is, therefore, by the definition of a function, not a function. (Because an x-value will have more than one y-value).
So, a graph that fails the vertical-line test does not represent a function because an x-value will correspond with more than one y-value.
hope this helps!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, B expression can be simplified by applying identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
Part A)
= 6x¹⁰ - 96x²
= 6x²(x⁸ - 16)
Part B)
[tex]\rm =6x^2(\left(x^4\right)^2-4^2)[/tex]
[tex]\rm =6x^2(\left(x^4+4\right)\left(x^4-4\right))[/tex]
[tex]\rm =6x^2\left(x^2+2x+2\right)\left(x^2-2x+2\right)\left(x^2+2\right)\left(x^2-2\right)[/tex]
Thus, the expression 6x¹⁰ - 96x² can be written by factoring out the greatest common factor is 6x²(x⁸ - 16) and for a part, the B expression can be simplified by applying identity.
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Which number is irrational?
C
-4
C
2
g
O 11
O 8.26
The irrational number in the given options is √11
What is an irrational number?Irrational numbers are set of all real numbers in mathematics that are not rational numbers in nature. By the word rational, we mean that they cannot be expressed or represented in a fraction of a/b.
where;
a = numeratorb = denominatorIn other words, it is impossible to describe an irrational number as the ratio of two integers.
From the given options, the square root of 11 is the only number that cannot be expressed as a fraction, therefore, we can conclude that it is considered the only irrational number in the given options.
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9. P(no more than 16 | prime
Alex's recipe calls for 1/3 cup of chocolate chips for every 2 cups of flour. If he increases the
amount of flour to 3 cups, how many cups of chocolate chips will he need?
Answer:
1/2 cup of chocolate chips
Step-by-step explanation:
Given ratio:
chocolate chips : flour = 1/3 cups : 2 cupsLet x be the unknown amount of chocolate chips:
[tex]\implies \sf \dfrac{1}{3}:2=x:3[/tex]
[tex]\implies \sf \dfrac{\frac{1}{3}}{2}=\dfrac{x}{3}[/tex]
Cross multiply:
[tex]\implies \sf 3 \cdot \dfrac{1}{3}=2 \cdot x[/tex]
[tex]\implies \sf 1=2x[/tex]
[tex]\implies \sf x=\dfrac{1}{2}[/tex]
Therefore, 1/2 a cup of chocolate chips will be needed for 3 cups of flour.
Let that be x
1/3/2=x/31/6=x/3x=3/6x=1/2 cupAn electrician charges a $40 fee to make a house call plus an hourly rate for labor. If the total bill that takes 2 hours comes to $99 what is the electrician hourly labor rate?
Which of the following is the solution to 7√22 + 3√7
The value of this irrational Expression is 40.77 .
What is an Expression ?An expression is a mathematical statement consisting of variables , constants and mathematical operators.
The expression given is
7√22 +3√7
√22 = 4.69
√7 = 2.65
32.83 + 7.94
40.77
The value of this irrational Expression is 40.77 .
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Rewrite each of the following expressions without using absolute value: |x-5|+|x+5| if x<-5
For [tex]x < -5[/tex]:
[tex]x-5 < 0 \Rightarrow |x-5|=-(x-5)=-x+5\\x+5 < 0\Rightarrow |x+5|=-(x+5)=-x-5[/tex]
So
[tex]|x-5|+|x+5|=-x+5-x-5=-2x[/tex]
What graph best represents the data
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is A.
What is a graph?A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
A histogram is a statistical information presentation that employs rectangles to illustrate the frequency of data items in equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most frequent kind of histogram.
The best graph that can represent the given situation is Histogram. Hence, the correct option is A.
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What is the vertex of the absolute value function defined by f(x) =3|x+7|-2
The vertex of the absolute value function is (-7,-2)
How to determine the vertex?The function is given as:
f(x) = 3|x + 7| - 2
The above function is an absolute value function.
An absolute value function is represented as:
f(x) = a|x - h| + k
Where:
Vertex = (h,k)
By comparison, we have:
(h,k) = (-7,-2)
Hence, the vertex of the absolute value function is (-7,-2)
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please help
0.06/1.71
Answer:
0.04
Step-by-step explanation:
0.03508772
curved surface area of a cone = Trl, where r is the
radius and I is the slant height.
surface area of a sphere = 42, where r is the
radius.
The shape below is made from a hemisphere and a
cone, each with a radius of 6 cm.
Work out the surface area of this shape in terms of .
16 cm
6 cm
Not drawn accurately
Answer:
168π cm²
Step-by-step explanation:
The total surface area is the sum of the areas of the parts: a hemisphere and a cone.
__
area formulaThe area of a hemisphere is half the area of a sphere, so the total area is ...
total area = hemisphere area + cone area
= 2πr² +πrl
total area = πr(2r +l)
__
applicationFor the given dimensions, r = 6 cm, l = 16 cm, the total surface area is ...
total area = π(6 cm)(2(6 cm) +16 cm) = π(6)(28) cm²
total area = 168π cm²
An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. The graph of this model would be:
a curved line that increases but then decreases.
a straight line that decreases only.
a straight line that increases only.
None of these choices are correct.
The graph of this model would be a straight line that increases only option third is correct.
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have:
An auto mechanic charges (C) an initial fee of $50 and then $40 per hour.
Let T be the total fee and h is the number of hours
T = 50 + 40h
The above equation represents a graph of a straight line as the slope of the line is positive.
m = 50
Thus, the graph of this model would be a straight line that increases only option third is correct.
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9 out of 10 students prefer maths class over lunch how many students do not prefer math if 200 students were asked?
Answer: 180
Step-by-step explanation: 200 % 2 = 100
9/10 = 90/100
90 * 2 = 180
Answer:
20 students
If 9 out of 10 student prefer math over lunch, then 1 out of ten DO NOT. With this information you can set up a simple proportion: [tex]\frac{1}{10} =\frac{x}{200}[/tex].
To solve for x, you cross multiply as follows:
1*200=10x
200=10x
20=x
Hence, x equals 20, and 20 students do not prefer math over lunch.
Hope I helped!!!!!!!!!!!!!:)
Hi supreme turtle this is the question
Answer:
< $0 --------------$35------ $50>
Step-by-step explanation:
wait that's not the full question but uh I assume that's 30% off $50?
it would be 0.3x50 which is 15 and 50-15 is 35.
the range is 0 - $50 if I'm not mistaken
< $0 -------------------------- $50> scuffed number line
but 35 is somewhere around here?
< $0 --------------$35------ $50>
for
If a study determines the difference in average salary
subpopulations of mechanical engineers and civil
engineers is NOT significant, then the subpopulations
of mechanical and civil engineers are
different
salaries.
A
Guaranteed not to be earning
B
Not earning
C) Earning very
D Definitely earning
A mean is an arithmetic average of a set of observations. The correct option is B.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The average pay does not differ significantly since the average wage for subpopulations is not significant. As a result, the subpopulations of mechanical and civil engineers are Not earning different salaries.
Hence, the correct option is B.
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Each phrase in the table describes two variables whick are strongly correlated. Select all phases that imply correlation without causation.
The complete question is attached below.
The most correct phases that imply correlation without causation are 1, 5, and 6.
What is correlation?The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.
The most correct phases imply correlation without causation are;
The number of stuffed animals produced at a factory and the number of newborn babies.
The number of videos rented and the number of films in the theater.
The number of pets in the neighborhood and the amount of grass nearby.
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use interval notation to express the following: the set of all numbers greater than or equal to 5 and less than or equal to 7
[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7.
What is a set?A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
Let x belong to the set of real numbers (R)
Now, x≥5 and x≤7.
So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]
Therefore, the notation will be [5, +∞) ∪ (-∞,7].
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which ordered pair is a solution to the following system of inequalities
Answer:
it's 1,1 is the correct ans
Step-by-step explanation:
Because my teacher told its absolutely correct answer I got the same question in exam
Answer:
the answer should be the 2 one
Step-by-step explanation:
I got it right just had it.
I don’t get this question
Simplify 4.5:9.9:8.1
Please help
Answer:
5:11:9
Step-by-step explanation:
Change the decimal to fractions
45/10:99/10:81/10
Multiply through by the Lowest Common Factor 10
10×45/10:10×99/10:10×81/10
Which makes it
45:99:81
They have a common factor which is 9, so divide through by 9
45/9:99/9:81/9
Your answer is
5:11:9
Hope it helps
Which of the following are true statements?
Sampling is used in the situations
A. Cooking rice in an utensil
B. Purchase of food commodity from
C. shopkeeper
D. All the above
E. Blood test of the patients
Answer:
all of the above
Step-by-step explanation:
please mark me as brainliest
Based on local population projections for 2010, school district 31 will lose 5 teaching positions, district 222 will lose 5 teachers, and district 225 will lose 2. Write a
signed number that represents the total number of teachers that these three school districts are projected to lose.
What is the signed number that represents the total number of positions that these three districts are projected to lose?
Answer:
2+3+4 = 9
Add the three numbers of the three school districts that project to lose.
Multiply and remove all perfect squares from inside the square roots. Assume a is positive.
3[tex]3\sqrt{5a}*8\sqrt{35a^{2} }[/tex]
The multiplication is 120*[tex]a^{3/2}[/tex].
What is exponents and powers?
Power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.
Given:
3√(5a) * 8 √(35a²)
= 3√(5a)* 8* a *√7* √5
= 3*8*5*a *√(7a)
= 120 [tex]a^{1/2+1}[/tex]
=120*[tex]a^{3/2}[/tex]
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Answer:
[tex]120a\sqrt{7a}[/tex]
Step-by-step explanation:
It's right on khan academy
What is the product of (2x - 1) (x + 4)
Answer: 2[tex]x^{2}[/tex]+7x-4
Step-by-step explanation:
Product implies multiplication so just multiply it out.
(2x-1) (x+4)
2x^2+8x-1x-4 (Combine like terms)
2x^2+7x-4
Need help with this geometry question
Answer: QN=19
Step-by-step explanation:
Diagonals of an isosceles trapezoid are congruent, so NQ=PM.
By the segment addition postulate, NQ=QR+RN=3x+7.
So,
[tex]6x-5=3x+7\\\\3x-5=7\\3x=12\\\\x=4[/tex]
So, [tex]QN=3(4)+7=\boxed{19}[/tex]
Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring
If we write 0.125 in the fraction form then we will get 7/20.
Given Number which is 0.125
We are given a number 0.125 and we have to write this in fraction form.
0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.
Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.
In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.
Hence the number 0.125 can be written as 7/20 in the fraction form.
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