Answer:
2x^3 - 3x^2 + 7x - 3
Step-by-step explanation:
Area = length * width
= (2x - 1)(x^2 - x + 3)
= 2x(x^2 - x + 3) - 1(x^2 - x + 3)
= 2x^3 - 2x^2 + 6x - x^2 + x - 3
= 2x^3 - 3x^2 + 7x - 3
The average annual rainfall in Salt Lake City, Utah, is 18.58 inches, and the average annual rainfall in New York City is 46.23 inches. What might be the reason for the difference in the cities’ average annual rainfall?
A.
Utah is close to an ocean, while New York City is landlocked.
B.
New York City is close to an ocean, while Utah is landlocked.
C.
New York City lies in a rain shadow area.
D.
New York City is closer to mountains.
[tex] \frac{2}{3} n (4p + \sqrt{36} - 2 {n}^{2} [/tex])
n= -3
p=5
need urgent help
Answer:
-16.
Step-by-step explanation:
2/3 * (-3) * (4*5 + 6 - 2(-3)^2)
= -2(20 + 6 - 18)
= -2 * 8
= -16.
A farmer has 6 pumpkins that are the same size. the mass of each pumpkin is 3 kilograms. what is the total mass of the farmer's pumpkins?
Answer: 18 kilograms
Step-by-step explanation:
If each pumpkin weighs 3 kilograms and the farmer has 6 pumpkins the equation would be 6x3=18 in order to find the mass of the farmer's pumpkins.
What is the perimeter of the rectangle
30
108
96
54
15
Answer:
30
Step-by-step explanation:
The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.
so, P = 9+6+9+6
P = 30
There is a pair of parallel sides in the following shape.
6, 7 and 5
What is the area of the shape?
I think it's 28 units²
Let an denote the nth term of a geometric sequence. let a0=256 and an+1=0.5an .
part a
write an explicit formula for this sequence.
an=
part b
to the nearest whole number, what is the sum of the first 25 terms?
The explicit formula is [tex]a_{n-1} = 256 * 0.5^{n-1[/tex] and the sum of the first 25 terms is approximately 512
The explicit formulaThe given parameters are:
[tex]a_0 = 256[/tex]
[tex]a_{n +1} = 0.5a_n[/tex]
Set n = 0
[tex]a_1 = 0.5a_0[/tex]
Substitute 256 for a0
[tex]a_1 = 0.5 * 256[/tex]
[tex]a_1 = 128[/tex]
This means that the common ratio is 0.5.
The explicit formula is then represented as:
[tex]a_{n-1} = a_0 * r^{n-1[/tex]
This gives
[tex]a_{n-1} = 256 * 0.5^{n-1[/tex]
The sum of the first 25 termsThis is calculated using:
[tex]S_n = \frac{a_0(r^{n-1} -1)}{r - 1}[/tex]
This gives
[tex]S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}[/tex]
Evaluate
[tex]S_{25} = 512[/tex]
Hence, the sum of the first 25 terms is approximately 512
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Find the value of x to the nearest tenth.
4.5
7.2
6.3
5.4
Answer:
there's no picture dude
Kat is painting the edge of a triangular stage prop with orange paint. The lengths of the edges of the triangle are (3x-4) feet, (x2-1) feet, and (2x-15) feet. What is the perimeter Of the triangle if x =4
The perimeter of the triangle is 16 feet
What is the perimeter of a triangle?The perimeter of a triangle refers to the calculation of the total distance bounded by the triangle or around the triangle.
Perimeter of a triangle = (3x - 4) + (x² - 1) + (2x - 15)
Perimeter of a triangle = 5x + x² - 20
If x = 4Perimeter of a triangle = 5(4) + (4)² - 20
Perimeter of a triangle = 16
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The expansion of (1 + px +qx2)8 is 1 + 8x + 52x² + kx³+... . Calculate the values of p, q and k.
Ans:
[p = 1, q=3, k = 224]
how do i do this question? It’s binomial theorem.
Answer:
i think you have to multiply
Step-by-step explanation:
yyghhghh pls help jgghdeshr3fwqhqjwgdqe
Answer: The answer is 22
Step-by-step explanation: you divide the 36 and the 9 to get 4 then you add the 18 and the 4 to get 22
Answer:
22
Step-by-step explanation:
[tex]18+(\frac{36}{9})=?\\ 18+4=?\\22=?[/tex]
what is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Complex number is in the form z = a + bi, where a and b are real numbers.
The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:
z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]
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Expand: In (4a)^3
help please
Answer:
[tex]3\ln 4 + 3 \ln a[/tex]
Step-by-step explanation:
[tex]\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a[/tex]
The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
__
To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
__
You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
Bayangan segitiga ABC dengan A (2, 4), B(5,0), C(6,4)
karena refleksi terhadap sumbu Y adalah
Answer:
it is b.
Step-by-step explanation:
as if the slope of x is 5 then y,=,0
- a) The volume of a rectangular tank is (2a³ + a² - 2a - 1) cu. ft. where a>4 ft., the length is longer than its breadth and the breadth is longer than its height. (i) Find its length, breadth and height. (ii) Find the area of the its floor.
The rectangle with:
The volume of (2a³ + a² - 2a - 1) ft³, a > 4 ftThe length > breadth > heightTo find(i) the dimensions(ii) the area of the floorSolution(i)Factorize the volume expression
2a³ + a² - 2a - 1 = 2a³ - 2a + a² - 1 = 2a(a² - 1) + (a² - 1) = (2a + 1)(a² - 1) = (a - 1)(a + 1)(2a + 1)If a > 4, then:
a - 1 > 4 - 1 ⇒ a - 1 > 3a + 1 > 4 + 1 ⇒ a + 1 > 52a + 1 > 2*4 + 1 ⇒ 2a + 1 > 9Since the longest dimension is the length, it is
2a + 1The breadth is the middle dimension, it is
a + 1The height is the smallest dimension, it is
a - 1(ii)The area of the floor is:
Area = length * breadthArea = (2a + 1)(a + 1) = 2a² + 3a + 1Answer:
i) length > 9 ft
breadth > 5 ft
height > 3 ft
ii) Area of floor > 45 ft²
Step-by-step explanation:
Volume of a rectangular prism
[tex]\textsf{V}=lbh[/tex]
where:
l is the lengthb is the breadthh is the heightGiven:
[tex]\sf V=(2a^3+a^2-2a-1)\:\:ft^3, \quad where\:a > 4\:ft[/tex]Part (i)
To find expressions for the 3 dimensions of the tank, factor the expression for Volume.
Using the Factor Theorem, if V(x) = 0 then (a - p) is a factor:
[tex]\implies \sf V(1)=2(1)^3+(1)^2-2(1)-1=0[/tex]
[tex]\implies \sf V(-1)=2(-1)^3+(-1)^2-2(-1)-1=0[/tex]
Therefore (a - 1) and (a + 1) are factors:
[tex]\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+p)[/tex]
(where p is a constant to be found)
To find the value of p, expand:
[tex]\implies \sf 2a^3+a^2-2a-1=2a^3+pa^2-2a-1[/tex]
and compare coefficients:
[tex]\implies \sf a^2=pa^2 \implies p=1[/tex]
Therefore:
[tex]\implies \sf 2a^3+a^2-2a-1=(a-1)(a+1)(2a+1)[/tex]
If l > b and b > h then:
length (l) = (2a + 1)breadth (b) = (a + 1)height (h) = (a - 1)If a > 4 ft then:
length > 9 ftbreadth > 5 ftheight > 3 ftPart (ii)
The area of the floor can be found by multiplying the found expressions for breadth and length:
[tex]\begin{aligned}\implies \sf Area\:of\:floor & =(a+1)(2a+1)\\& = 2a^2+3a+1\end{aligned}[/tex]
If a > 4 ft then Area of floor > 45 ft²
Factor the expression.
12x+10
Work Shown:
12x+10
2*6x+2*5
2(6x+5)
Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.
The distributive property in general is a*(b+c) = a*b+a*c
1) Find the Greatest Common Factor (GCF).
1 What is the largest number that divides evenly into 12 and 10?
It is 2.
2 What is the highest degree of that divides evenly into 12and 10?
It is 1, since x is not in every term.
3 Multiplying the results above,
The GCF is 22.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2(\frac{12x}{2}+\frac{10}{2})[/tex]
3) Simplify each term in parentheses.
2(6x+5)
Solve the inequality 4x - 7> 3
Answer:
[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]
Step-by-step explanation:
group
[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]
isolate "x"
[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]
Answer:
x > 2.5 or in fraction form x > 2 1/2
Step-by-step explanation:
4x - 7 > 3
+7 +7 Add seven to both sides.
4x > 10
÷4 ÷4 Divide both sides by 4.
x > 2.5
Hope this helps!
A. (x, y) = (x + 6, y)
B. (x', y') = (x − 6, y)
C. g(x) = f(x+6)
D. g(x) = f(x-6)
E. g(x) = f(x) + 6
F. g(x) = f(x) - 6
Answer:
i don't know, you need to tell us what we need to do
Step-by-step explanation:
enter the value of z when y = 7 and x = 14.
The value of z is 7 when y = 7 and x = 14.
Complete questionIf x varies directly as y and inversely as z and when y = 16 and z = 14, x = 16. Enter the value of z when y = 7 and x = 14.
How to determine the value of z?The variation involves a direct and inverse variation from x to y and z.
This is represented as:
[tex]x = \frac{ky}{z}[/tex]
Where k is the constant of variation
For the first set of values, we have:
[tex]16 = \frac{k * 16}{14}[/tex]
Solve for k
k = 14
For the second set of values, we have:
[tex]14 = \frac{k * 7}{z}[/tex]
Substitute 14 for k
[tex]14 = \frac{14 * 7}{z}[/tex]
Solve for z
z = 7
Hence, the value of z is 7
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40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?
Answer:
51%
Step-by-step explanation:
6+x^4-3x^2-5x
WHAT IS THE CONSTANT AND WHY
Answer:
6
Step-by-step explanation:
The constant is the number that's all by itself with no variable.
x is the variable. It can vary (change) as you use different values for x.
There are four terms here in the expression in your question they are separated by the plus or minus signs.
2 and 4 are exponents. 3 and 5 are coefficients.
x^4 is a fourth degree term. 3x^2 is a second degree term. 5x is a first degree term. The whole expression is 4th degree because the highest exponent is 4.
But the 6 is all by itself. 6 is the constant.
Find the value of x and y.Please help!
The value of x and y in the right angle triangle are 6 units and 10.4 units.
How to find side of a right triangle?The sides of a right triangle can be found as follows:
using trigonometric ratio,
sin 60 = opposite / hypotenuse
sin 60 = y / 12
cross multiply
y = 12 sin 60
y = 10.3923048454
y = 10.4 units
Therefore,
cos 60 = adjacent / hypotenuse
cos 60 = x / 12
x = 12 cos 60
x = 6 units
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So we conclude that x measures 6 units and y measures 10.39 units.
How to find the value of x and y?
Here we have a right triangle.
x is the adjacent cathetus to the shown angle, and y is the opposite cathetus. We can see that the hypotenuse measures 12.
Then using trigonometric relations we get:
y = sin(60°)*12 = 10.39x = cos(60°)*12 = 6So we conclude that x measures 6 units and y measures 10.39 units.
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RIDDLE ME THIS:
You are in a race. You pass the person in second place. What place are you in now.
At the local pet store, zebrafish cost $2.10 each, and neon tetras cost $1.95 each. if ernesto bought 13 fish for a total cost of $26.70 not including tax, how many of each type of fish did he buy?
Answer:
zebrafish: 9neon tetras: 4Step-by-step explanation:
The numbers of zebrafish and neon tetras can be found by writing an equation relating the numbers of each to their total cost.
__
setupLet z represent the number of zebrafish Ernesto bought. Then the number of neon tetras is (13 -z), and the total cost of the purchase was ...
2.10z +1.95(13 -z) = 26.70
solution0.15z +25.35 = 26.70 . . . . . . simplify
0.15z = 1.35 . . . . . . . . . . . . subtract 25.35
z = 9 . . . . . . . . . . . . . . . divide by 0.15
Ernesto bought 9 zebrafish and 4 neon tetras.
If the exchange rate when converting US dollars to Za rands is $1=R17
1. How much is $100 in ZA rands
How much is $100 in ZA rands.
Solution:Let the unknown be "x"
[tex]\frac{1}{17}×\frac{100}{x}[/tex]
We'll have to do cross multiplication.
So we'll have to multiply 100 and 17.
[tex]100×17[/tex]
[tex]\huge\boxed{= 1700 \: ZA \: rands}[/tex]
Therefore, $100 is 1700 ZA rands.
find the value of A , B and C from the following figure
Step-by-step explanation:
Here in the given figure the value of x will be 70° ( being alternative angle )
x = 70°
Now...
y = 60° ( being corresponding angle )
Now...
60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°
z = 180° - 130°
z = 50° ..
[tex]...[/tex]
classify the pair of angles. then find the value of x.
(need help with 13 & 15!)
The value of x from the figures are 18 and 26 respectively
Vertical and complementary angles13) From the diagram, the angles at the corner is 90 degrees. This shows that the sum of the angles is complementary (sum is 90 degrees)
3x + 2x = 90
5x = 90
x = 90/5
x = 18
15) Since the sum of angles on a straight line is supplementary, hence;
6x + x - 2 = 180
7x = 182
x = 182/7
x = 26
Hence the value of x from the figures are 18 and 26 respectively
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AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96
Answer:
BStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose12. If you buy a bag of pretzels ($0.75 per bag) and a Pepsi ($1.25) every weekday at work from a vending machine, how much do you spend on the vending machine products over the course of a year (52 weeks)
0.75 + 1.25 = $2 everyday
Since there are 5 weekdays:
5 x 2 = $10 a week
Since there are 52 weeks in a year:
10 x 52 = $520 a year!
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next
The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a transformation function:
g(x) = f(x - 3) + 4
The parent function is f(x).
First transformation:
x → (x - 3)
The function will shift right by 3 units.
Second transformation:
Add 4 to the function:
g(x) = f(x - 3) + 4
The function will shift up by 4 units.
Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
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