Answer:
y = -1/14x - 20/7
Step-by-step explanation:
An equation consists of y = mx + b.
m = slopeb = y - intercept- When a line is perpendicular, the slope becomes the opposite.
14 = -1/14
- Now, that we have the slope, all we need to do is find the y-intercept/b.
y = -1/14x + b
-3 = -1/14(2) + b
-3 = -1/7 + b
-20/7 = b
Unit 1 : Algebra basics Homework 1: the real numbers
Real numbers may be explained as all set of numbers which may be used for counting, fractions or decimals. Real numbers may be any set of natural, whole, integer, rational or irrational numbers.
• NATURAL NUMBERS which are all set of positive whole numbers from 1. Examples : (1, 3, 5, 8, 100)
• WHOLE NUMBER are set of all natural numbers .while numbers also include the value value (0, 1, 200, 500) are whole numbers
• INTEGERS : include all positive and negative natural or whole number values. They include (-1, - 10, 10, 5)
• RATIONAL numbers are real numbers which can be expressed in the form m/n where both m and n are integer values and the denominator, n ≠ 0 Examples : (1/2, 0.9, 10/1, √4, 3.5)
• IRRATIONAL numbers are real numbers which are not integer values and cannot be expressed in the form m/n Non-terminating and non-repeating decimal numbers are IRRATIONAL numbers. (√3, 1.43136..., 1.4141..., π)
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The difference of F and 5 times G is the same as 25 minus f
Step-by-step explanation:
(5×G)-F=25-F
I hope it helped U
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Identify the greatest common factor of 25w⁵+5w⁴+15w³
Answer:
5w³
Step-by-step explanation:
To solve this, we can list the factors of each number and see which are common
25w⁵: separate this into 25 and w⁵ as one is a variable and one is not, so this will enable easier factorization. It is perfectly fine to separate these as these are multiplied by each other. For example, 5 is a factor of 25 but not of w⁵, but we can still factor 5 from 25w⁵ to get 5 (5w⁵)
factors of 25:
1, 5, 25
factors of w⁵:
1, w, w², w³, w⁴, w⁵
We know the factors of w⁵ because anything multiplied by 1 is equal to itself, w * w⁴ = w⁵, and w²*w³ = w⁵ due to exponent rules
Next,
factors of 5:
1, 5
factors of w⁴:
1, w, w², w³, w⁴
Finally,
factors of 15:
1, 3, 5, 15
factors of w³:
1, w, w², w³
For the constants, the greatest common factor is 5, and for the variables, the greatest common factor is w³
Because each value has both a constant and variable, we can use these two numbers to factor this out as
5w³(5w²+w + 3)
The period of a compound pendulum is given by T=2π√(h²+k²/gh) express k in terms of T,h and g
Answer:
qss-qvcj-kwr join guys iam bored
In 5 years Chim will be three times as old as Jared. The sum of their ages is 42. How old are Chim and Jared.
Answer:
Chim is 34 years old, and Jared is 8 years old.
Step-by-step explanation:
Let c be Chim's age and j be Jared's age.
Chim's age after five years (c + 5)
is 3 times Jared's age after five years (3 * (j+5) )
#1: c + 5 = 3(j+5)
We can add Chim's age and Jared's age to get 42 (the "sum"):
#2: c + j = 42
This is a system of equations that we can solve through substitution:
c + 5 = 3(j+5)
c + j = 42
In Equation #2, we can subtract j from both sides:
c = 42 - j
Then replace c with 42 - j in the first equation
(42 - j) + 5 = 3(j+5)
47 - j = 3j + 15
32 = 4j
j = 32/4 = 8
Plug j = 8 into the second equation, then solve for c.
c + 8 = 42
c = 42 - 8 = 34
c = 34, j = 8
Check our work by plugging in c = 34 and j = 8 into the first equation:
34 + 5 = 3(8+5)
39 = 3*13
39 = 39
Plug c and j into the second equation:
34 + 8 = 42
42 = 42
Chim is 34 years old, Jared is 8 years old.
y² - 11y + 21.25 = 0
Answer:
y=17/2 y=5/2
Step-by-step explanation:
...................
Answer:
[tex]y^{2}[/tex]-11y= -21.25
Factorize the expression [tex]y^{2}[/tex]-11y
y(y-11)= -21.25
Eliminate (y-11)by dividing it over (y-11)
[tex]\frac{y (y-11)}{(y-11)}[/tex] = [tex]\frac{-21.25}{(y-11)}[/tex]
Final answer;
y=[tex]\frac{-21.25}{(y-11)}[/tex]
Consider the equation:
f(x) = -3x - 6
What is the ordered pair for x = 3?
(-3, 3)
(3, -3)
(-15, 3)
(3, -15)
Answer:
the last one
Step-by-step explanation:
Please help me with question 5!!!!!!!!!
Answer:
a)2,3,4,5,6
b)-3,-1,1,3,5
Step-by-step explanation:
a) y(-2)=-2+4=2
y(-1)=-1+4=3
y(0)=0+4=4
y(1)=1+4=5
y(2)=2+4=6
b)y=2x+1
y(-2)=2*(-2)+1=-3
y(-1)=2*(-1)+1=-1
y(0)=2*0+1=1
y(1)=2*1+1=3
y(2)=2*2+1=5
If the radius of the closed cone is doubled, show algebraically how this affects the surface
area in comparison to the original cone.
Answer:
If the radius and height of a cone are doubled, its curved surface area increase four times.
Answer:
If the radius and height of a cone are doubled, its curved surface area increase four times
2 Jessica re the same number of books each month. Write an expression to represent
the number of books Jessica reads in 2 years.
Answer:
The answer is Jessica reads 24b books in 2 years where b is the number of books she reads each month.
Step-by-step explanation:
First, decide on your variable. You don't know how many books Jessica reads each month, but you know every month it is the same.
Let b equal the number of books Jessica reads each month.
Next, write a variable expression using b. In one month Jessica reads b books. In 2 months Jessica reads 2b books. The question asks for an expression that represents the total number of books Jessica reads in 2 years. There are 12 months in a year so there are 24 months in 2 years. So your expression is
24b
How many of the 320 million Americans would you predict wear glasses?Using table 2
Step-by-step explanation:
Divide your 320 million with 618 and that's your answer.
Answer:
517799
Step-by-step explanation:
a solid sphere is cut into 3 equal wedges. the volume of each wedge is V=4/9π^3. solve the formula for r
[tex]\\ \qquad\quad\sf{:}\dashrightarrow V=\dfrac{4}{9}πr^3[/tex]
It is one third of the solid. sphere[tex]\\ \qquad\quad\sf{:}\dashrightarrow V_{(Sphere)}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow 3\left(\dfrac{4}{9}πr^3\right)[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \dfrac{4}{3}\pi r^3[/tex]
Now
[tex]\\ \qquad\quad\sf{:}\dashrightarrow \pi r^3=\dfrac{3V}{4}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r^3=\dfrac{3V}{4\pi}[/tex]
[tex]\\ \qquad\quad\sf{:}\dashrightarrow r=\sqrt[3]{\dfrac{3V}{4\pi}}[/tex]
Step-by-step explanation:
hmmm.
the other answer says the volume of a wedge is
4/9 × pi×r³
but I read here only
4/9 × pi³
so, what is correct ?
if I assume my reading is correct, then the solution is actually
4/9 × pi×r³ = 4/9 × pi³
pi×r³ = pi³
r³ = pi²
[tex]r = \sqrt[3]{ {\pi}^{2} } [/tex]
and that would mean
r ≈ 2.145
Alicia has 8 more dollars than Fred. Altogether, Alicia and Fred have 26. dollars. Let "f" represent the amount of money, in dollars, that Fred has. Use "f" to write an expression that represents the amount of money that Fred has.
Use “f” to write an expression that represents the amount of money that Alicia has.
Write de equation to represent the problem situation
Solve your equitation showing each step of the solution
Based on your solution to your equation, state how much money Fred has
Based on your solution to your equation, state how much money Alicia has
Answer:
Fred has = 9 $
Alicia has = 9 + 8 =17 $
Step-by-step explanation:
Let, Fred has = f $
Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]
Now, the required expression is
∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]
So, Fred has = 9 $
Alicia has = 9 + 8 =17 $
Hope you have understood this.....
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It cost $13.40 for 4.5 pounds of chicken.
How much did it cost per pound? Round
your answer to the nearest cent. Please help
Answer:
2.98c (c= one pound of chicken)
Step-by-step explanation:
Hunter is going to graph the ordered pairs that are represented by this table on a coordinate plane.
x
–7
–3
0
1
5
9
y
4
0
2
6
0
–2
In Hunter’s graph, how many points should lie on the y-axis?
0
1
2
3
Answer:
one
Step-by-step explanation:
Any point where x = 0 will fall on the y axis. The y values do not matter for this question.
Answer:
1
Step-by-step explanation:
If A=( a,b)and B= (2,4,6} find n(A) * n(B)
Answer:
n(a) X n( b) = 6
Step-by-step explanation:
n(a)= 2
n(b) = 3
n(a) X n( b) = 2x3
=6,,
The highest and lowest temperatures of Town X were 4°C and -18°C respectively. Find the difference between these two temperatures. (b) The lowest temperature recorded in Town Y was 12°C higher than -18°C. Find the lowest temperature recorded in Town Y.
Answer:
Difference: 4-(-18)=22
=22 degrees celcius
Lowest temperature: 12 degrees higher that -18 degrees
= 12+(-18)
= -6 degrees celcius.
Step-by-step explanation:
Please help me with this quickly
Answer:
A. mB = 40°
Step-by-step explanation:
In geometry, congruent figures are identical in form, coinciding exactly when superimposed.
From the diagram,
<CAB = 80°; <EFG = 40° and <FGE = 60°
From triangle ️ EFG,
<GEF + <EFG + <FGE = 180°
》<GEF = 180° - (<EFG + <FGE)
<GEF = 180° - (40° + 60°)
<GEF = 180° - 100°
<GEF = 80°
》<GEF = <CAB = 80°
Also,
》<ACB = <EGF = 60°
<ABC = <EFG = 40°
NB. <ABC = mB
The length of a rectangle is 2x + 4 and the width is x + 8. If the perimeter of the rectangle is 96, use the value of x to find the length and width of the rectangle.
Hey there! I'm happy to help!
The formula for the perimeter of a rectangle is 2L+2W=P where W is the width and L is the length. This is because we have our two sides that are lengths and our two sides that are widths (different values) and we add them together to see what the distance around the whole rectangle is.
So, let's insert these values into the equation.
2(2x+4)+2(x+8)=96
We use the distributive property to remove the parentheses (which is us multiplying our equations for length and width by two).
4x+8+2x+16=96
We combine the like terms.
6x+24=96
We subtract 24 from both sides.
6x=72
Divide both sides by 6.
x=12
Now that we have our value of x, we can plug it into our length and width equations to find those values.
LENGTH:
2x+4
2(12)+4
24+4
28
WIDTH:
x+8
12+8
20
So, our length is 28 and our width is 20.
Have a wonderful rest of your day and keep on learning! :D
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm
Answer:
B. 5 cm
Step-by-step explanation:
If the width was 5 cm, the length would be 10 cm. (5 + 10) x 2 = 30 cm.
The product of two whole numbers is 10000. If neither of the numbers contains a digit of 0, then what is their sum?
Step-by-step explanation:
we should add 9999 add 1
it is the answer of this qp
1. a number raised to the second power
2. (of some number N) is the number which, when squared, gives you N
3. the superscript number in an exponential expression; tells how many times a factor is repeated
4. (of some number N) is the number which, when cubed, gives you N
5. a number raised to the third power
6. the value of a base and exponent
Squared
Exponent
Cubed
Power
Cube root
Square root
Answer:
1 - squared
2- square root
3-exponent
4-cubed root
5-cubed
6-power
please help me it's for my homework
Hi! I'm happy to help!
To convert a decimal into a percent, you move the decimal two units to the right.
.47
4.7
47.
Since there is nothing else after the decimal we can get rid of it.
47
0.47 is percentage for is 47%
I hope this was helpful, keep learning! :D
1;1;2;3;5;8;14;21;34 identify and explain the error in the following pattern
Answer:
5+8=14
Step-by-step explanation:
5+8 is 13 not 14
Write a rule for the nth term of the sequence. Then find a..
3. 4, 20, 100, 500, ...
Answer:
Rule is 4(5)^(n-1).
a7 = 62500.
Step-by-step explanation:
This is a geometric sequence with a1 = 4 and r = 20/4 = 5.
a7 is 4(5)^(7-1)
= 4 * 5^6
= 62500.
the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
What is the geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.
Given a sequence 4, 20, 100, 500, ...
From the general formula of the nth term of the geometric sequence:
a(n) = arⁿ⁻¹
where,
a is the first term
r = ratio of two subsequent terms
in our case
a = 4
r = 20/4 = 5
thus, the general form of the given sequence
a(n) = 4 * 5ⁿ⁻¹
To find: a(7)
a(7) = 4 * 5⁶
a(7) = 62500
therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
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If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
Interpret the following exponential function:
y = 6 (1.07) Superscript x
What is the growth/decay factor? What is the y-intercept?
a.
Decay factor is 6; y-intercept is 1.07
b.
Decay factor is 1.07; y-intercept is 6
c.
Growth factor is 6; y-intercept is 1.07
d.
Growth factor is 1.07; y-intercept is 6
Answer:
d. Growth factor is [tex]1.07^{x}[/tex] ; y-intercept is 6
Step-by-step explanation:
I. When y = 6([tex]1.07^{x}[/tex])
If growth factor means
y.value will increase if x.value is increase
Prove Given x = 1, 2
y = 6(1.07)^1
= 6.42
y = 6(1.07)^2
= 6.866
That makes 1.07 is growth factor
[tex]9/16=3/4t[/tex]9/16=3/4t
Answer:
4/3
Step-by-step explanation:
9÷16=3÷4t
cross multiply
36t=48
divide both sides by 36
t=48÷36
t=4÷3
HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards
Answer:
99
Step-by-step explanation:
9x5 + 7X6 + 3X4 + 2X6