Answer:
1)9 2)18 3)9. 4)4. 5)carpeting
Step-by-step explanation:
1) divide 63 by 7 = 9
2)multiply 54 by 2 = 108 total weight of the boxes then divide 108 by 6 to get 18
3) 75 -30 to get remaining amount which is 45 then divide by 5 to get how much he will pay each month which is 9
4 24- 12= 12 the remaining for the 3 and divide by 3 to get 4
5) multiply 6 * 9 which is $54 which is cheaper than the $81
The diameter of a cylinder is twice the height (h) of the cylinder. Show that the total surface area of the cylinder is:
[tex]4\pi \ {h}^{2} [/tex]
Answer:
Please check explanations
Step-by-step explanation:
The diameter is twice the height;
if diameter is d and height is h
Then;
d = 2h
But, we know that the radius is half the diameter size. Which means that the diameter is twice the radius
Thus;
2r = 2h
Then r = h
Mathematically the total surface area of a cylinder is;
2pi r (r + h)
substitute h for r
2pi h(h + h)
= 2pi * h * 2h
= 4 pi h^2 (QED)
Determine the value of K that will cause f(x)=Kx^2+4x-3 to intersect the line g(x)=2x-7 at one point. SHOW ALL YOUR STEPS, DON'T USE DECIMALS INSTEAD USE FRACTIONS PLEASE!!!!!
Given:
The function are:
[tex]f(x)=Kx^2+4x-3[/tex]
[tex]g(x)=2x-7[/tex]
The graph of f(x) intersect the line g(x) at one point.
To find:
The value of K.
Solution:
The graph of f(x) intersect the line g(x) at one point. It means the line g(x) is the tangent line.
We have,
[tex]f(x)=Kx^2+4x-3[/tex]
Differentiate this function with respect to x.
[tex]f'(x)=K(2x)+4(1)-(0)[/tex]
[tex]f'(x)=2Kx+4[/tex]
Let the point of tangency is [tex](x_0,y_0)[/tex]. So, the slope of the tangent line is:
[tex][f'(x)]_{(x_0,y_0)}=2Kx_0+4[/tex]
On comparing [tex]g(x)=2x-7[/tex] with slope-intercept form, we get
[tex]m=2[/tex]
So, the slope of the tangent line is 2.
[tex]2Kx_0+4=2[/tex]
[tex]2Kx_0=2-4[/tex]
[tex]x_0=\dfrac{-2}{2K}[/tex]
[tex]x_0=-\dfrac{1}{K}[/tex]
Putting [tex]x=x_0,g(x)=y_0[/tex] in g(x), we get
[tex]y_0=2x_0-7[/tex]
Putting [tex]x=-\dfrac{1}{K}[/tex] in the above equation, we get
[tex]y_0=2(-\dfrac{1}{K})-7[/tex]
[tex]y_0=-\dfrac{2}{K}-7[/tex]
Putting [tex]x=-\dfrac{1}{K}[/tex] and [tex]f(x)=-\dfrac{2}{K}-7[/tex] in f(x).
[tex]-\dfrac{2}{K}-7=K\left(-\dfrac{1}{K}\right)^2+4(-\dfrac{1}{K})-3[/tex]
[tex]-\dfrac{2}{K}-7=\dfrac{1}{K}-\dfrac{4}{K}-3[/tex]
[tex]-\dfrac{2}{K}-7=\dfrac{-3}{K}-3[/tex]
Multiply both sides by K.
[tex]-2-7K=-3-3K[/tex]
[tex]-2+3=7K-3k[/tex]
[tex]1=4k[/tex]
[tex]\dfrac{1}{4}=K[/tex]
Therefore, the value of K is [tex]\dfrac{1}{4}[/tex].
What is the greatest common factor of the polynomial below?
12x2-9x
A. 3x2
B. 3x
C. 4x2
D. 4x
Answer:
3x
Step-by-step explanation:
factoring it we get
3x(4x-3)
Identify the transformations of the graph of f(x) = x3 that produce the graph of the given function
g(x). Then graph g(x) on the same coordinate plane as the graph of f(x) by applying the
transformations to the reference points (-1,-1),(0,0), and (1,1).
Answer:
Step-by-step explanation:
please answer quick!
Answer:
-4/5
Step-by-step explanation:
sin theta = opp/ hyp
sin theta = -3 /5
Using the Pythagorean theorem
opp ^2 + adj ^2 = hyp ^2
(-3) ^2 + adj ^2 = 5^2
9+ adj ^2 = 25
adj ^2 = 25 - 9
adj ^2 = 16
Taking the square root of each side
adj = ±4
Since we are in the 3rd quadrant sin and cos are both negative so adj must be negative
adj = -4
cos theta = adj / hyp
cos theta = -4/5
Dilate the figure by the scale factor. Then enter
the new coordinates.
A(1,3)
B(4,2)
K=3
A'([?],[ ]
B'([ ],[])
c'[[)
C(1,-3)
Answer:
i think (4,2)
Step-by-step explanation:
What is the measure of
60° because it's an equilateral triangle
4. What is the correct ratio for sin A?
A) 5/12
B) 12/13
C) 5/13
D) 13/12
Answer:
sin A = 12 /13
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin A = opp / hyp
sin A = 12 /13
Which of the following is the equation of a line that passes through the point
(1.4) and is parallel to the x-axis?
A.x=1 B.y=4 C.x=4 D.y=1
Given:
A line passes through the point (1,4) and is parallel to the x-axis.
To find:
The equation of the line.
Solution:
If a line is parallel to x-axis, then the line is a horizontal line. We know that the slope of a horizontal line is always 0. So, the slope of the required line is 0.
The point-slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.
The slope of the required line is 0 and it passes through the point (1,4). So, the equation of the line is:
[tex]y-4=0(x-1)[/tex]
[tex]y-4=0[/tex]
[tex]y-4+4=0+4[/tex]
[tex]y=4[/tex]
The required equation is [tex]y=4[/tex].
Therefore, the correct option is B.
Find the missing segment in the image below
Answer:
If there are two line which is parallel in a triangle the triangle has a ratio
Step-by-step explanation:
So we can see one side has 6cm and 4cm length. and other side has 20cm in totally. But we know that the small line divided the side with 6/4 ratio and we can say ?=12 and other is 8
Answer:
Step-by-step explanation:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level
Answer:
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
Given Pieter's equation :
7h – 5(3h – 8) = –72
Opening up the bracket
7h - 15h + 40 = - 72
7h - 15h = - 72 - 40
-8h = - 112
Divide both sides by -8
-8h / -8 = - 112 / - 8
h = 14
Since, h represents the number of hours, and the value of h equals 14 (h cannot be negative), hence, option 2 is correct.
Answer:
B.It must be a positive number since it represents a numbers of hours.
Step-by-step explanation:
You have to evaluate the question for a and b
Answer:
11
Step-by-step explanation:
a+b^2
Let a=2 and b=3
2+3^2
2 + 9
11
Answer: 11
2 + (3 x 3 )
2 + 9
The required answer would be 11 :)
Step-by-step explanation:
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
-1
Step-by-step explanation:
The only variable in this expression is y and it's coefficient, which is the number and it's sign before the term, is -1.
In the expression, 6 and 3 are constants. This is because they have a fixed value and they do not change.
However, the algebraic term y can have different values depending on the equation it is in and is thus known as a variable term.
Although the number '1' is not written, it is implied that the digit 1 (or in this case -1) is there. For example, instead of writing 1x, we can simply write x. The coefficient cannot be zero as if there is zero y, the y term would not exist in the first place.
what is the domain of the function is this table?
Answer:
B
Step-by-step explanation:
Domain is the set of x values
Looking at the table we can say that the set of x values ( domain ) is {1,2,3,4}
Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and Chris have a total of 2,000. How many stamps in all the three children have?
Answer: 3000 stamps
Step-by-step explanation:
Given
Chris and Josh have 1800 stamps
Josh and Jessica have 2200 stamps
Jessica and Chris have 2000 stamps
Suppose Chris, Josh, and Jessica have [tex]x,y, \text{and}\ z[/tex] stamps
[tex]\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000[/tex]
Thus, all three have 3000 stamps
A hall has 22 rows of chairs there are 18 chairs in each row how many extra rows of chairs are needed to seat 468
Answer:
Total chairs = 18×22= 396
so no. of extra chairs need = 468-396 = 72
Now( 72/18) rows = 4 rows
Therefore 4 more rows are needed here
Hope it helps you
Answer: 4
Step-by-step explanation:
The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.
What is the factored form of x2 + 4xy – 21y2?
A. xy(x + 4 – 21y)
B. (x – 3y)(x + 7y)
C. x(x + 4y) + y(4x – 21y)
o
D. (x + 3y)(x - 7y)
[tex]\sf \: {x}^{2} + 4xy - 21 {y}^{2} [/tex]
[tex]\sf \: Rewrite \: the \: equation⟹( {x}^{2} - 3xy) + (7xy - 21y {}^{2} )[/tex]
[tex]\sf \: 1)( {x}^{2} - 3xy) = x(x - 3y)[/tex]
[tex]\sf2) \: (7xy - 21 {y}^{2} ) = 7y(x - 3y)[/tex]
[tex]\sf \: Now \: the \: equation \: becomes \: ⟹ \\ \sf \: x(x - 3y) + 7y(x - 3y)[/tex]
[tex]\sf \: Factor \: out \: the \: common \: term \: (x - 3y) \\ \sf =( x - 3y) + (x + 7y) \\ [/tex]
Answer ⟶ [tex]\boxed{\sf {B) (x-3y)(x+7y)}}[/tex]
The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
show work.
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
1. [tex]5^2 +10 ^2 = c^2[/tex]
2. [tex]c^2 = 125[/tex]
3. [tex]c = 5\sqrt{5}[/tex]
Answer:
approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches
Step-by-step explanation:
We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.
5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c
sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)
The hypotenuse is approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches.
Find the slope of the line for each pair of points (-17, -5) (15, -13)
Which of the following exponential functions represent the graph?
Answer:
dodndbdie9ejrnfudowp2ejdnsmwo2oeidndndoep
Mind helping if you have time on your hands that is
Answer:
C. 2%
Step-by-step explanation:
when you have a decimal and are looking for the percentage, simply move the decimal two places to the right. so .0201= 2%
Answer: C. 2%
Step-by-step explanation:
STEP ONE: Convert the decimal into a percentage
Percentage = Number × 100%
Percentage = 0.0201 × 100%
Percentage = 2.01%
STEP TWO: Round to the nearest ones
2.01% ≈ 2%
Hope this helps!! :)
Please let me know if you have any questions
Calcular x en: los datos q faltan
see ss below
spam answers will be reported
Answer:
G = 9y
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
Identify
18y² = G(2y²)
Step 2: Solve for G
Option 1: Factor
Factor: 18y² = (2y²)(9y)Option 2: Isolate
Divide both sides by 2y² to isolate G: 18y³ / 2y² = GSimplify: G = 9yAnswer:
[tex]\boxed {\boxed {\sf G= 9y}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to find the missing factor that makes the equality true.
[tex]18y^3=(G)(2y^2)[/tex]
Essentially, we need to solve for the variable G.
1. Factoring
One method we can use is factoring.
We could factor the expression 18y³ because we know one factor is 2y². Since this is one of the factors, the other must be 9y.
[tex]18y^3=(9y)(2y^2)[/tex]
If we compare this factored version of the expression with the original equation we see that 9y and G correspond, so they must be equal.
[tex]G=9y[/tex]
2. Solving
Another method we could use is solving.
We can solve the original equation for G by isolating the variable.
[tex]18y^3= (G)(2y^2)[/tex]
G is being multiplied by 2y³. The inverse of multiplication is division, so we divide both sides of the equation by 2y³.
[tex]\frac {18y^3}{2y^2}=\frac{(G)(2y^2)}{2y^2}[/tex]
[tex]\frac {18y^3}{2y^2}= G[/tex]
The coefficients are divided as usual and the exponents are subtracted.
[tex]9y= G[/tex]
The system of equations shown below is graphed on a coordinate grid:
3y + x = 4
2y − x = 6
Which statement is true about the coordinates of the point that is the solution to the system of equations?
A. It is (−2, 2) and lies on both lines.
B. It is (−5, 3) and lies on both lines.
C. It is (−5, 3) and does not lie on either line.
D. It is (−2, 2) and does not lie on either line.
Please help asap!! WILL GIVE BRAINlIEST!! tysssm if u help!!!
Answer:
add 2 equations given
3y+x+2y- x = 10
5y =10
y = 2
find x using the value of y
x = - 2
these values of x and y are can satisfy both equations .so (-2,2) lies on both lines
Find the following sums. Please help.
Answer:
5m-n-4p
4a^2+6x-3
Step-by-step explanation:
3m-4n +7p
-5m +9n -6p
+7m -6n -5p
----------------------
Combine like terms
3m-4n +7p
-5m +9n -6p
+7m -6n -5p
----------------------
(3-5+7)m +(-4+9-6)n +(7-6-5)p
5m-n-4p
a^2 -3x +1
a^2 +9x -6
2a^2 +0x +2
----------------------
Combine like terms
a^2 -3x +1
a^2 +9x -6
2a^2 +0x +2
----------------------
(1+1+2)a^2 +(-3+9+0)x +(1-6+2)
4a^2+6x-3
#1
[tex]\\ \sf\longmapsto 3m-4n+7p+(-5m+9n-6p)+7m-6n-5p[/tex]
[tex]\\ \sf\longmapsto 3m-4n+7p-5m+9n-6p+7m-6n-5p[/tex]
[tex]\\ \sf\longmapsto 3m-5m+7m-4n+9n-6n+7p-6p-5p[/tex]
[tex]\\ \sf\longmapsto 5m-n-4p[/tex]
#2
[tex]\\ \sf\longmapsto a^2-3x+1+a^2+9x-6+2a^2+2[/tex]
[tex]\\ \sf\longmapsto a^2+a^2+2a^2-3x+9x+1-6+2[/tex]
[tex]\\ \sf\longmapsto 4a^2+6x-3[/tex]
Help Pleaseeee!!!!!!!
Find the volume of a sphere with radius of 9cm
Answer:
3053.63
Step-by-step explanation:
Not sure how to explain-
but i hope it helps c:
The scale of a map is 1:40000. What distance on the map represents a real distance of 5km?
Answer:
0.125
Step-by-step explanation:
1=40000
x-5000
x=5000÷40000=1/8=0.125
Which graph represents an exponential function?
Answer: where's the pic?
Step-by-step explanation:
a student says the prime factors of 17 are 1 and 17. is the student correct?
Answer: yes
A prime factor is number that can only divided by itself and one
Since, 17 can only be divided by 17 and 1, the student is correct
Step-by-step explanation:
State GCF of following monomials 18m5n4 and 45m3n6
Answer:
9m³n⁴
Step-by-step explanation:
18m^5n^4 = 2×3² m^5n^4
45m^3n^6 = 3²×5 m^3n^6
GFC = 3² m³n⁴ = 9m³n⁴
