Answer:
x~11
Step-by-step explanation:
22:17=14:x
22/17=14/x
22x=17*14
22x=238
22x/22=238/22
x=238/22
x=10.818181818181818
x~11
Three siblings are doing their washing and hanging all the items on the washing line.
On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.
a) Who has a striped shirt?
b) What design is Paul’s towel?
c) Who has a spotted jumper?
Answer:
A.) Paul
B.) Plain
C.) Paul
Step-by-step explanation:
Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain
Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted
Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped
Hope this helps! Have a nice dayy! :)
Please help I’ll give brainliest
Keller performed the work below to express the polynomial in factored form:
r(x) = x4 – 8x2 – 9
r(x) = (x2 + 1)(x2 – 9)
(x) = (x + 1)(x – 1)(x + 3)(x – 3)
Explain the error he made and complete the factorization correctly.
Answer:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.
Step-by-step explanation:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:
[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]
[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]
The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?
Answer:
a) 17
b) 21st term
Step-by-step explanation:
a) 20 - 3 = 17
b) 20 - 21 = -1
what are the domain and range of the function on the graph?
Answer:
The domain: All real numbers.
The range: y>0
Step-by-step explanation:
Domain means all possible x values, and by looking at the graph it covers all real numbers.
Range means all possible y values, and since the x axis is a horizontal asyntope, the graph will never touch the x axis, which is why the range is y>0.
i 6 = solve plz........
can someone help me with this question
Answer:
What does the question mean can u explain me after that I will help u out in question
Help plzzz plzzz asappp!!!!
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α = [tex] tan^{-1}(\frac{42.5}{80}) [/tex]
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)
Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight
Answer:
515,857,549,048
Step-by-step explanation:
I guess you are to write in numerals
Five hundred fifteen billion = 515,000,000,000
eight hundred fifty-seven million = 857,000,000
five hundred forty-nine thousand = 549,000
forty-eight = 48
Total = 515,000,000,000 + 857,000,000 + 549,000 + 48
= 515,857,549,048
Therefore,
Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight = 515,857,549,048
in an election a candidate go 82 votes.He won the election beating his rival candidate by 576 votes.How many votes were pull?
Answer:
if you like please mark me brainlaist
Step-by-step explanation:
thanks
if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)
Answer:
[tex]3^x+5x+3[/tex]
Step-by-step explanation:
Given that,
[tex]f(x)=3^x+10x[/tex]
and
[tex]g(x)=5x-3[/tex]
We need to find (f-g)(x).
We know that,
(f-g)(x) = f(x)-g(x)
[tex]=3^x+10x-(5x-3)\\\\=3^x+10x-5x+3\\\\=3^x+5x+3[/tex]
So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].
I need help with this
Answer:
the first option on the screen
.........................
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
Which is equivalent to 3V8^1/4x
BROO SM PLS HELP
Answer:
= 24 3/4x
Step-by-step explanation:
3* 8 1/4x
Here 8 1/4 is a mixed fraction.
Convert it to improper fraction
8 1/4 = 33/4
So, 3*33/4 x
99/4 x
= 24 3/4x
That is
Hope this will helpful.
gimmie brainlist :)
The initial temperature of a solution was 16°C. The temperature dropped 3°C every minute. What was the temperature of the water after 15 minutes in °C?
Answer:
1 degree c
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
[tex]3ft^2[/tex]
Step-by-step explanation:
SA = [tex]6a^{2}[/tex]
SA = [tex]6(3)^2[/tex] Solve for the exponent first
SA = 6(9) Multiply
SA = 54 square feet
An investment of 100,000 AED increases at a rate of 16% per year. What is
the value of the investment after 20 years? Give your answer to 2 decimal
places
Answer:
1,946,075.95 AED
Step-by-step explanation:
Firstly, we write the general formula for an exponential increase as follows;
V(t) = A( 1 + r)^t
where V(t) is the value after some number of years t
A is the investment amount which is 100,000 AED
r is the rate of increase which is 16% = 16/100 = 0.16
t is the number of years which is 20
substituting these values;
V(20) = 100,000( 1 + 0.16)^20
V(20) = 100,000(1.16)^20
V(20) = 1,946,075.95 AED
2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.
AngleRST and AngleRSV
AngleRST and AngleTSU
AngleRST and AngleVSU
AngleTSU and AngleUSV
AngleTSU and AngleRSV
Answer:
AngleRST and AngleRSV
Step-by-step explanation:
You first draw the diagram with statement given
Answer:
a) RTS & RSV b) RST & TSU d) TSU & USV
Step-by-step explanation:
Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.
b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.
c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.
Answer:
b.
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
(c)
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
Step-by-step explanation:
b. The volume of solid formed is given by the washers formula as follows;
[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]
Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;
[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]
(c) We have;
x = arcos(y - 2), x = arcsin(1/y)
At x = 0, y = 2 + cos(0) = 3
csc(0) = ∞
At x = π, y = 2 + cos(π) = 2 + -1 = 1
csc(π) = ∞
Therefore, we get;
[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]
B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
How to find the integral volume of solid?
B) The volume of solid formed is gotten from applying the washers formula;
[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]
This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;
[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]
C) From answer above, we have;
x = cos⁻¹(y - 2), x = sin⁻¹(1/y)
Now,
At x = 0; y = 2 + cos(0) = 3
csc(0) = 1/0 = ∞
Also,
At x = π; y = 2 + cos(π)
y = 2 + (-1)
y = 1
Also, csc(π) = ∞
Thus, we have;
[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]
Read more about finding the integral volume of solid at; https://brainly.com/question/21036176
find the lateral area of the prism
Answer:
We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.
so
20×6= 120 sq in
Answer:
120 sq in.
Step-by-step explanation:
LA = ah
LA = 20 × 6
A = 120
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
5x2 – 168 = -60x + 12
Answer:
5x2 – 168 = -60x + 12
5x*2 – 156 = -60x
-55x*2=156
55x=-78
x=-1.41818181818
also know as 18/7 or 1 4/7
Answer:
[tex](x+6)^{2}[/tex] = 51
Step-by-step explanation:
5x2 – 168 = -60x + 12
5x2 + 60 x – 180 = 0
[tex]x^{2}[/tex] + 12 x – 15 = 0
[tex]x^{2}[/tex] + 12 x = 15
+ 36 + 36
[tex]x^{2}[/tex] + 12 x + 36 = 51
[tex](x+6)^{2}[/tex] = 51
[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]
x + 6 = [tex]\sqrt{51}[/tex]
x = -6 ± [tex]\sqrt{51}[/tex]
Elimination method
a-b=3
2a+3b=b
Answer:
a=3/2 b=-1 1/2
Step-by-step explanation:
Explain how to convert measurements in the metric system
Answer:
You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.
Example look at the pic please 7,225 cm = ___ m
Meters are larger than centimeters, so you expect your answer to be less than 7,225.
Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.
Cancel similar units, multiply, and simplify.
7,225 centimeters = meters
Answer:
Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.
The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?
Answer:
h(5x) = 75x² + 7
Step-by-step explanation:
h(x) = 3x² + 7
h(5x) = 3(5x)² + 7
h(5x) = 3(25x²) + 7
h(5x) = 75x² + 7
[tex]h(5x) = 75x^2 + 7[/tex]
To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.
[tex]h(x) = 3x^2 + 7[/tex]
Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]
Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]
Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]
So, [tex]h(5x) = 75x^2 + 7[/tex]
To know more about substitute:
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PLEASE HELP MEEE I NEED HELP
Answer:
how do I do another question
Answer:
6 seconds
Step-by-step explanation:
Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.
After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.
So our equation is 50x = 35x + 90
Subtracting 35x from both sides: 15x = 90
Dividing both sides by 15: x = 6
So Luigi will catch up with Mario in 6 seconds.
c) Make k the subject of the formula t = ak/ 20
Answer:
k=20t/a
Step-by-step explanation:
20t=ak
20t/a=k
k=20t/a
Evaluate the expression using the Commutative and Associative properties of numbers.
Name the property used in each step.
13 + 23 + 12 + 7
Given:
The expression is:
[tex]13+23+12+7[/tex]
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
[tex]13+23+12+7[/tex]
Applying parenthesis and brackets, we get
[tex]=[13+(23+12)]+7[/tex]
[tex]=[13+(12+23)]+7[/tex] [Commutative properties of numbers]
[tex]=[(13+12)+23]+7[/tex] [Associative properties of numbers]
[tex]=(25+23)+7[/tex]
Using Associative properties of numbers, we get
[tex]=25+(23+7)[/tex] [Associative properties of numbers]
[tex]=25+30[/tex]
[tex]=55[/tex]
Therefore, the value of the given expression 55.
Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.
2000 A+ 6000B=520
400A+400B=480
Determine the interest rates, A and B as percentages
Answer:
Step-by-step explanation:
I still think your equations are wrong...
4000/4000 not 400/400 since the total investment is to be $8000
not $800
Step-by-step explanation:
2000 A+ 6000B=520
4000A+4000B =480
~~~~~~~~~~~~~~~~~~~~~
2000 A+ 6000B=520
-2000A - 2000B =-240
4000B = 280
B=7%
A=5%
11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...
Answer:
365
Step-by-step explanation:
tn = t1 + (n - 1)(d)
t(47) = -3 + (47 - 1)(8)
t(47) = -3 + (46)(8)
t(47) = -3 + 368
t(47) = 365
Triangles J K L and X Y Z are shown. The length of side J is 3, the length of side K is 6, and the length of side L is 4. The length of side X is 4, the length of side Y is 4, and the length of side Z is 5.
Classify each of the triangles as acute, obtuse, or right.
Triangle JKL is
triangle.
Triangle XYZ is
triangle.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.
For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.
For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.
For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.
In triangle JKL:
J² + L² = 3² + 4² = 25
K² = 6² = 36 > 25 (J² + L²)
Hence triangle JKL is an obtuse triangle
In triangle XYZ:
X² + Y² = 4² + 4² = 32
Z² = 5² = 25 < 32 (X² + Y²)
Hence triangle XYZ is an acute triangle.
Answer:
obtuse & acute
Step-by-step explanation: