Answer: n=9
Step-by-step explanation:
I'm assuming you want to solve for n, as that's the only possible question I can think of.
To solve for n, we want to isolate n by using inverse operations.
2n+4=22 [subtract both sides by 4]
2n=18 [divide both sides by 2]
n=9
Therefore, n=9 Is the answer.
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
What number would you need to multiply the first equation by to eliminate the y variable when solving the system of equations by elimination?
We would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
The first equation is: 3x + 4y = 5
To eliminate the y variable when solving the system of equations by elimination, we need to multiply the first equation by -4. This is because when two equations are multiplied by the same number, any terms that have the same variable will be eliminated when the equations are added together.
Formula:
3x + 4y = 5
-4(3x + 4y = 5)
3x + 4y = 5
-12x - 16y = -20
Thus, we would need to multiply the first equation by -4 to eliminate the y variable when solving the system of equations by elimination.
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.
If sin (A + B) = 1 and tan (A - B) = 1/v3, find the value of:
i) tan A+ tan B
ii) sec A- cosec B
If sin (A + B) = 1
and tan (A - B) = 1/√3
To Find :-value of:
i) tan A+ tan Bii) sec A- cosec BSolution :-We know that,
sin 90 = 1tan 30 = 1/√3So,
sin(A + B) = sin90(A+B)=90tan(A - B) =tan 30(A-B)=30A + B + A - B = 90 + 30
(A + A) + (B - B) = 120
2A = 120
A = 120/2
A = 60By putting value of A in 2
A - B = 30
60 - B = 30
-B = 30 - 60
-B = -30
B = 30Finding valuestan 60 + tan 30
We know that
tan 60 = √3tan 30 = 1/√3√3 + 1/√3
√3 × √3 + 1/√3
3 + 1/√3
[tex]4/√3[/tex]
sec A- cosec B
sec 60 - cosec 30
We know that
sec 60 = 2cosec 30 = 22 - 2 = [tex]0[/tex]
Hence,tan A+ tan B=4/√3
sec A- cosec B=0
Use the illustration below to determine which statements are true. Select the two statements that are true statement 1: Points A, E, and C are collinear. statement 2: Lines I and m intersect at point D. statement 3: AE and DC are line segments on line I. statement 4: EA and EC are rays on the line m.
The required true statements for the given lines are 1 and 4.
What is line segments?An element or portion of a line with two endpoints is called a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.
According to question:Statement A: E and C are co-linear.
It is true, E and C are lie in same line
statement 2: Lines I and m intersect at point D.
It is false, I and m intersect at point E.
statement 3: AE and DC are line segments on line I
It is false,because AE and DC are line segments placed in different line.
statement 4: EA and EC are rays on the line m.
It is true, as EA and EC are in same line m.
Thus, required true statements are 1 and 4.
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Answer:
1 and 4
Step-by-step explanation:
The two expressions below have the same value when rounded to the nearest hundredth
log5b log948
what is the approximate value of logb to the nearest hundredth
0.93
1.23
9.16
65.53
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
Logarithms:The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function.
In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)
Given that
The two expressions below have the same value when rounded to the nearest hundredth
=> ㏒₅ (b) = ㏒₉ (48)
As we know ㏒ₐ(b) = ㏒(b)/ ㏒(a)
=> ㏒₅ (b) = ㏒(b)/㏒(5)
=> ㏒(b)/㏒(5) = ㏒₉ (48)
=> ㏒(b) = ㏒₉ (48) ㏒(5)
=> ㏒(b) = (1.7618)(0.6989)
=> ㏒(b) = 1.23132202
=> ㏒(b) = 1.23
Therefore,
The approximate value of ㏒(b) to the nearest hundredth is 1.23.
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The probability that a student chosen at random from a class has ginger hair is 5/14.
The probability that they have blonde hair is 9/28.
What is the probability that a student chosen from the class at random has either ginger or blonde hair?
Give your answer as a fraction in its simplest form.
Answer: The probability of a random student to have either ginger or blonde hair is 19/28.
Step-by-step explanation: Before anything is done, let's look and see what information the problem gives us and what we need to find out. We know that there's a 5/14 chance for a student to be ginger, and a 9/28 chance for them to be blonde. We need to find out the combined chance, as we want to know what the chances are for a student to have either hair color.
In order to do this, all we need to find is the sum of both fractions. Because the fractions have different denominators, we need to change one of them to match the other. 14 multiplied by 2 is equal to 28.
If we multiply both the numerator and denominator of 5/14 by 2, we get 10/28. Now, all we have to do is add that to 9/28. When we do that, we get 19/28.
19/28 cannot be simplified, so it is our final answer. Hope this helps!
please help me please help me the problems are up above
The volume of a sphere with radius [tex]r[/tex] is [tex]\frac{4}{3}\pi r^3[/tex]. If the radius is multiplied by a constant [tex]k[/tex], then the new volume is [tex]\frac{4}{3} \pi (kr)^3[/tex], which is equal to [tex]k^3 \cdot \frac{4}{3} \pi r^3[/tex]. This means that the volume of the sphere is multiplied by [tex]k^3[/tex].
a. If the radius is doubled, the volume is multiplied by 8
b. If the radius is tripled, the volume is multiplied by 27
c. if the radius is quadrupled, the volume is multiplied by 64
A)
Find the product of
f(x)=x²-x-4 and g(x)=x+4
With process
f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .
What do you meant by product ?[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]
When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.
A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.
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AOC and BOD are diameter of a circle, centre O, prove that ABD and DCA are congruent by RHS
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
RHS congruency criteria:Triangles must have equal corresponding sides and equal corresponding angles in order to be congruent.
According to the RHS congruence theorem, two right-angled triangles are congruent if their respective hypotenuses and sides are the same as those of another right-angled triangle.
Here we have
AOC and BOD are diameters of a circle and have a center O.
It is given that AOC and BOD are diameters of a circle.
From the triangles Δ AOC and ΔBOD
⇒ BD = CA [ Diameters of the circle i.e Hypotenuse of triangles ]
⇒ ∠BAD = ∠CDA [ Right angles in a semicircle is 90°]
⇒ AD = AD [ Common in both triangles i.e sides of triangles ]
Thus, Using RHS congruence criteria
⇒ ΔABD ≅ ΔDCA
Hence,
It is proven that ΔABD ≅ ΔDCA by RHS congruency criteria.
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My last question please help I keep getting it wrong!!
Answer:
4
[tex]4 \sqrt{2(2) + 8} = 4 \sqrt{4 + 8 } = 4 \sqrt{12} = 4(6) = 24[/tex]
Simplify as far as possible. 2 √ 3 + 2 √ 27
The required simplified solution of the given expression is 8√3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
= 2 √ 3 + 2 √ 27
Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3
Thus, the required simplified solution of the given expression is 8√3.
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When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar. Which of the following could you use to accomplish this? 1. Excel Preferences II. Quick Access Toolbar Down Arrow O I only Il only Both I and II Neither I nor II
I would choose both I and II for accomplishing the task of "When you want to Add or Remove Filters, you select Data in the ribbon, and then Filter. You would prefer to do this with one click, so you decide to add Filters to the Quick Access Toolbar."
What is filters?Click the Commands Not in the Ribbon option in the Customize Quick Access Toolbar dialog box. Click Filter in the list of commands. Select the Add option. Press the OK button. You may use the FILTER function to filter a set of data depending on criteria you provide. The Filter option makes it simple to narrow down your search field.
Here,
I would choose both I and II to complete the task of "When you wish to Add or Remove Filters, go to the Data ribbon, then Filter. You'd prefer to do this with a single click, so you add Filters to the Quick Access Toolbar."
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2x + 11 = 25
Solve x
I need the working out.
Step-by-step explanation:
No problem,
The first steps we take is we will subtract 11 from the equation and subtract it from the total so it is easier for us.
Its one of the basic rules of Algebra.
2x + 11 = 25
2x + 11 - 11 = 25 -11 (We subtracted from both sides.)
2x = 14 (Now we are going to divide.)
2x / 2 = x
14 / 2 = 7
Now if we put this equation together we get x = 7.
Hope this helps.
Comment down if you have any questions
Find the lengths of the missing sides. If the length is irrational, round to the nearest tenth.
Answer: 25
Step-by-step explanation:
Will give brainliest, *15 points*
Brian has two rectangular sheets of paper. The length of the larger sheet is 1 1/2 times the length of the smaller sheet. The width of the larger sheet is 1 3/5 times the width of the smaller sheet. By what factor is the area of the larger sheet greater than the area of the smaller sheet?
What does 5 and 3/8 equal
Answer:
If you want the improper fraction 43/8
If you want it in a decimal 5.375
Step-by-step explanation:
Answer:
5 3/8 or 5.375
Step-by-step explanation:
Assuming that your "and" means addition, 5 and 3/8 is
5 3/8 or 5.375
How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same
There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.
In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.
You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.
Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.
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A rectangle has a perimeter of 36 cm and an area of 72 cm2.
What is the length of the rectangle's shorter side?
O 2 cm
O 3 cm
04 cm
6 cm
8 cm
What is the length of the rectangle's longer side?
06 cm
O 8 cm
O 9 cm
O 12 cm
18 cm
The length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.
What is perimeter?
The total length of a shape's boundary, as used in geometry, is referred to as the shape's perimeter. Adding the lengths of all the sides and edges that surround a shape yields its perimeter. It is calculated using linear length units like centimeters, meters, inches, and feet.
Given:
A rectangle has a perimeter of 36 cm and an area of 72 cm^2.
Let the length of the rectangle's shorter side is 'a' and
the length of the rectangle's longer side 'b'.
As the perimeter is 36 cm.
⇒ Perimeter = 2(a + b)
36 = 2(a + b)
18 = a+ b
a = 18 - b
Now the area of rectangle is 72cm^2.
⇒ Area = ab
72 = (18 - b)*b
72 = 18b - b^2
b^2 - 18b + 72 = 0
b^2 - 12b - 6x + 72 = 0
b(b - 12) - 6(b - 12) = 0
(b - 12)(b - 6) = 0
(b - 12) = 0, (b - 6) = 0
b = 12, b = 6
When b = 12 ⇒ a = 18 - 12 = 6
When b = 6 ⇒ a = 18 - 6 = 12
Hence, the length of the rectangle's shorter side is 6cm and the of the rectangle's longer side is 12cm.
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What is 72 1/4 in a decimal
Answer:
I think it's 0.18 in decimal
Combine like terms to simplify this expression:
8 + 7y + 2y + 4
Answer: The resulting expression is 8+9y+4, which simplifies to 12+9y.
Step-by-step explanation: To combine like terms, we add the coefficients of the terms that are the same. In this expression, the like terms are 2y and 7y. Their coefficients are 2 and 7, respectively, so when we add them we get 2+7=9. The resulting expression is 8+9y+4, which simplifies to 12+9y.
The figure below to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x)?g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f)?Average(g)=Average(f?g)
A. Yes
B. No
The average value of both f(x) and g(x) on 0≤x≤2 is 1/4. The average value of (f.g) on 0≤x≤2 is 0 and the statement avg(f) . avg(g) = avg(f . g) is false.
avg value of a function = 1/(b - a) ∫f(x) with limts a and b. Here a and b are the constraints under which the average has to be calculated.
a)
Hence average value of f(x) on 0≤x≤2
= 1/2 ∫f(x) with 0 and 2 as intervals
Since integration is basically the area under the curve we get
avg of f(x) = 1/2[area under curve from 0 to 1 + Area under the curve from 1 to 2]
Since from 0 to 1, the figure is a triangle and beyond that a straight line we get
1/2[1/2 X 1 X 1 + 0]
= 1/4 sq units
b)
Similarly, the average value of g(x) on 0 ≤ x ≤ 2
1/2[area from 0 to 1 + area from 1 to 2]
= 1/2[0 + 1/2]
= 1/4 sq units
c) here we need to find the average of f(x) . g(x)
Here we see that f(x) is 0 from x = 1 to x = 1 while g(x) id 0 from x = 0 from x = 1
Hence we see that on multiplying the functions, the resultant has to be a 0 function.
Hence its average value will be 0.
d)
Average(f) . Average(g) = 1/4 X 1/4
= 1/16
Average of (f.g) = 0
Hence the statement is false
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Complete Question
The figure attached to the left is a graph of f(x), and below to the right is g(x).
The figure below to the left is a graph of f(x), a
(a) What is the average value of f(x) on 0≤x≤2? avg value = __________
(b) What is the average value of g(x) on 0≤x≤2? avg value = __________
(c) What is the average value of f(x) . g(x) on 0≤x≤2? avg value = _________
(d) Is the following statement true?
Average(f) . Average(g)=Average(f.g)
A. Yes
B. No
Determine whether each pair of ratios forms a proportion (yes or no): A) 7/12, 21/24 B) 12/39, 8/36 C) 4/3.2, 22/17.6
Answer:
I believe its C xd, have a good day hun <3
Step-by-step explanation:
The correct pair of ratios which form proportion is,
⇒ 4/3.2, 22/17.6
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The ratios are;
A) 7/12, 21/24
B) 12/39, 8/36
C) 4/3.2, 22/17.6
Now,
For A;
⇒ 7 / 12 = 0.583
⇒ 21/24 = 0.875
Thus, It is not form a proportion.
For B;
⇒ 12/39 = 0.307
⇒ 8/36 = 0.222
Thus, It is not form a proportion.
For C;
⇒ 4/3.2 = 1.25
⇒ 22/17.6 = 1.25
Thus, It is form a proportion, because both the ratio are same.
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8t + 2 = 8(4) + 2
= 32 + 2
Please help me asap!!
Answer:
its 28
Step-by-step explanation:
Answer:
The top second one :))
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0
Please help me pleaseee
Given:
The quadratic function is:
[tex]f(x)=(x+2)^2+1[/tex]
To find:
The graph of the given quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex] ...(i)
Where, a is a constant and (h,k) is the vertex of the graph of the quadratic function.
We have,
[tex]f(x)=(x+2)^2+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=1[/tex]
[tex]h=-2[/tex]
[tex]k=1[/tex]
Now,
[tex](h,k)=(-2,1)[/tex]
It means the vertex of the graph of the given function is at point (-2,1).
Only in graph C, the vertex of the parabola is at (-2,1).
Therefore, the correct option is C.
What are the domain and range of this function
(0, -4)
(10,-2)
(-10, -2)
(1, -6)
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
what is domain?The range of values a function may accept is referred to as its domain. These numbers represent the x-values of a function like f. (x). The range of values that a function may operate on is referred to as its domain. The value that the function returns following the insertion of the x value is this set. A function containing the independent variable x and the dependent variable y is said to be y = f(x). A value of x is said to be in the domain of a function f if it can be used to successfully create a single value y utilizing the value of x for that purpose.
The range refers to all potential values of y, while the domain refers to all conceivable values of x.
The graph indicates that the line segment's domain and range are [-5, 1] and [-4, 7, respectively.
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What is the velocity of the object from t=0 to t=3.0s?
0 is the velocity of the object from t=0 to t=3.0s
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time.
Velocity is a vector expression of the displacement that an object or particle undergoes with respect to time .
The areas under a versus t gives the change in velocity. The initial velocity was 1.0 m/s.
The change in velocity from t = 0 to t = 3.0 s is
(1 + 0 - 2.0)m/s = -1 m/s. v(3s) = 1 m/s - 1 m/s = 0 m/s
Hence, the velocity of the object from t=0 to t=3.0s is 0.
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Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y)
Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y) ✔
______________
Answer:
D 5(2+y)
Step-by-step explanation:
"5 times (so moltepli by 5) the sum (the answer of a addition equation) of 2 and y?".
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Help me now pleasee!!!
12, 6, 3, 1.5 common ratio
Answer:
14
Step-by-step explanation:
You can determine the common ratio by dividing each number in the sequence from the number preceding it.