Answer: Part A: 1/26 or 0.38
Part B: 1/59 or 0.017
Step-by-step explanation:
144ab – 108b2
Question 12 options:
36(4ab – 3b2)
36b(4a – 3b)
12b(12a – 9b)
36a(4b – 3b2)
Answer:
114ab-108b2=
collect like terms
114-108=6
divide by the coefficient of the number
b÷2=b
=6÷2=3
b=3
Middletown University charges $29,000 for tuition. If they raise their tuition by 5% each year,
how much will tuition be in 3 years?
Answer:
$33,350
Step-by-step explanation:
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$29000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{each year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=29000\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=29000(1.05)^3\implies A\approx 33571.13[/tex]
Answer the question velow
Graph y=4x-1
y=4x-1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 23.8px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=4x−1y=4x-1
Use the slope-intercept form to find the slope and y-intercept.
Slope: 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">44
y-intercept: (0,-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">(0,−1)(0,-1)
Any line can be graphed using two points. Select two x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx values, and plug them into the equation to find the corresponding y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position:
School yearbooks cost $23. Fifty-six yearbooks have already been sold. How many more yearbooks x must be sold to earn at least $2001? Write your answer as an inequality.
Answer:
x [tex]\geq[/tex] 31
Step-by-step explanation:
Total number of the yearbooks is 56 + x
Total money earned is 23*(56 + x)
so 23*(56 + x) [tex]\geq[/tex] 2001
56 + x [tex]\geq[/tex] 2001/23 = 87
x [tex]\geq[/tex] 87 - 56 = 31
Answer: x [tex]\geq[/tex] 31
given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is leaning against the building
Answer:
cosine rule - cos = [tex]\frac{a}{h}[/tex]
Step-by-step explanation:
Here the ladder is acting as hypotenuse and base as adjacent.
Formula: cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex]
And we know
[tex]\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \tt\hookrightarrow tan47=\dfrac{P}{30}[/tex]
The length of two sides of the triangle measure 8.3 inches and 9 inches. What is a possible length of the third side in inches?
What is the value of the expression 9 + (1/2) with a power of 4 • 48? A. 12 B. 15 C. 17 D. 18
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]9+(\frac{1}{2})^4\times48[/tex]
In order to find this, answer we use order of operations and solve.
[tex]9+(\frac{1}{2})^4\times48[/tex]
[tex]\frac{1}{2} ^4=\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}[/tex]
[tex]9+\frac{1}{16} \times48[/tex]
[tex]\frac{1}{16} \times48=\frac{1}{16}\times\frac{48}{1} =\frac{3}{1} =3[/tex]
[tex]9+3[/tex]
[tex]9+3=12[/tex]
[tex]=12[/tex]
Which means your answer is option A or "12."
Hope this helps.
Which set of ordered pairs represents a
function?
{(6,8),(-4,2), (-7,4), (-7,8)}
{(0,9), (3,5), (0, -4), (6,2)}
{(6,0), (-7,2), (4, 8), (9,2)}
o {(-5,5), (0, -3), (-5, -2), (6,8)}
Submit Answer
help me please
keeping in mind that a function is a set that has no X-repeats, namely the x-coordinate on every pair is never repeated, let's check these ones.
Check the picture below.
Select the correct answer from the drop-down menu.
C and D
because root(4) = 2
C = 2 1
1 2
2 1
Snow fell from 6:30 a.m. to 11:00 a.m, accumulating at a constant rate. At 8:00 a.m., the snow was 8 inches deep. By 11:00 a.m., it was 20 inches deep.
How much snow fell each hour?
inches
How much snow was already on the ground at 6:30 a.m.?
inches
Complete the equation that describes the relationship between the depth of the snow in inches, S, and the elapsed time in hours, t.
Write your answer using whole numbers or decimals rounded to the nearest tenth
The first question answer is 4
Hello i need help with my assignment thank you in advance and i know you deserve the point
Answer:
1) a = 51, 2) b = 57, 3) c = 53, 4) e = 49 d = 131, 5) f = 33, 6) g = 79, 7) h = 42 j = 47, 8) m = 59 k = 17 i = 104, 9) n = 55
Step-by-step explanation:
1.
You see that angle HJK has a total degree angle of 115, half of the angle is already stated to be 64 degrees, so you would just have to find the remainder. 115 - 64 = 51
2.
The question follows the same format, when you see the square in the corner it generally means that it is a 90-degree angle. So following the same steps as last time angle b would be 90 - 33 = 57
3.
Whenever there is a flat line given the angle is equal to 180 degrees, think of it as putting two 90 degree angles back to back. So if they equal 180 angle c would equal 180 - 127 = 53
4
This question is just a little different when you see crossing perpendicular lines angles across from each other equal the same amount, so angle d would be 131. Finding angle e is not hard either, back to question 3 for when it was just a straight line the same logic can be applied here. e would equal 180 - 131 = 49
Image attached! Please help
Really simple algebra equation!
Giving 50points!
Answer:
a=10
Step-by-step explanation:
use a^2+b^2=c^2
(a+2)^2+(a-5)^2=(a+3)^2
a^2+4a+4+a^2-10a+25=a^2+6a+9
2a^2-6a+29=a^2+6a+9
a^2-12a=-20
a^2-12a+20=0
quadratic formula→(12+/-8)/2
a=10 or 2
2 is not an option because 2-5=-3 which isn't possible in this case.
so a=10
Apply Pythagorean theorem
(a-5)²+(a+2)²=(a+3)²a²-10a+25+a²+4a+4=a²+6a+9a²-6a+29=6a+9a²-12a+20=0a²-10a-2a+20=0a(a-10)-2(a-10)=0(a-2)(a-10)=0a=2,10There is a side a-5 so 2 is not a answer
a=10An infinitely large table is covered by circular disk of equal radii. Find the maximum proportion of the table that is covered.
Answer:
see below
Step-by-step explanation:
Find a polynomial f (x) of degree 4 that has the following zeros.
0, -8 (multiplicity 2), 7
Leave your answer in factored form.
Answer:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Step-by-step explanation:
The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]
Therefore,
[tex]x = 0[/tex]
[tex]x = -8 \implies x + 8 = 0[/tex] (twice)
[tex]x = 7 \implies x -7 = 0[/tex]
Write the polynomial as a product of its factors:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
100 points, put nonsense, get reported. Susan wants to build a floor to put at the bottom of her tree house. She made the scale drawing below using a scale of 2.5 in = 3 ft. Enter the length Susan must use for the floor.
Divide the length of the scale drawing by the scale (2.5) then multiply that by the scale feet (3)
11 inches / 2.5 = 4.4
4.4 x 3 = 13.2 feet
Answer: 13.2 feet
Total 2.5in pairs
[tex]\\ \tt\hookrightarrow \dfrac{11}{2.5}[/tex]
[tex]\\ \tt\hookrightarrow 4.4[/tex]
Now it is equal to 3ftSo length=4.4(3)=13.2ft
To visit the manila Zoo, 11 adults and 5 Children have to pay 270 whereas 14 adults and 9 children have to pay 370? Find the total amount a family of 2 adults and 3 children has to pay to visit the zoo.
Step-by-step explanation:
let adults be x and childrens be y
a/q
11x + 5y = 270
14x + 9y = 370
→ x = -5/11y + 270/11 ; 14x + 9y = 370
→ 14(-5/11y + 270/11) + 9y = 370
→ y = 10
→ x = -5/11 × 10 + 270/11
→ x = -50/11 + 270/11
→ x = 20
therefore, we got
x = 20, y = 10
each adult have to pay 20 and each children have to pay 10
so,
2 × 20 = 40
3 × 10 = 30
40 + 30 = 70
for a family of 2 adults and 3 children they have to pay 70.
hope this helps you dear.
If two cards are randomly drawn from a deck of ordinary playing cards, one at a time, with replacement, what is the probability of obtaining no aces
Answer:
144/169
Step-by-step explanation:
There are 52 cards, 4 are aces, so the probability of not getting ace is 48/52, so we square it, or multiply it by itself to get 144/169
Jessica wants to build a display shelf similar to the diagram below. She knows that AABC is similar to A ADE. Using the dimensions on the diagram, what will be the length of the shorter shelf (x) in inches?
Step-by-step explanation:
similar ∆les have sides ratio
de/bc = ad/ab
x/12 = 6/16
x=9/2
Simplify the following without a calculator ( a) √3 × √3 (b)( 2√7)² (c) 3√6 × 4√6
solve for x,y, and 15
Answer:
27
Step-by-step explanation:
x + y = 15 (gallons) (1)
0.25*x + 0.10 * y = 0.15 * 15 (2)
Multiply 100 on (2):
25x + 10y = 15
Divede by 5
5x + 2y = 3 (3)
From (1) y = 15 - x
so 5x + 10*(15 - x) = 15
5x + 150 - 10x = 15
-5x = 15 - 150 = -135
x = 135/5 = 27 (gallons)
3/4 -2 1/2 please show step by step process
Answer:
-7/4 or -1 3/4
Step-by-step explanation:
Step 1. Convert into improper fraction.
2 1/2 = 5/2
Step 2. Convert the fractions into common denominator.
5/2 = 10/4
Step 3. Subtract.
3/4 - 10/4 = -7/4
PLS HELP Answer this question for me pls its for math 6th grade
Answer:
it shows that customer A's account balance has changed the most.Step-by-step explanation:
look at the file customer A is your answer-6 + 3m + 2 - M + 8 simplified
Answer:
2(m+2)
Step-by-step explanation:
[tex]=-6 + 3m + 2 - m + 8\\\\=4+2m\\\\=2m+4\\\\=2(m+2)[/tex]
[tex] \sf \dashrightarrow \: - 6 + 3m + 2 - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: - 4 + 3m - m + 8[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 3m - m + 4[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow \: 2m + 4[/tex]
[tex] \\ [/tex]
[tex] \sf \dashrightarrow \: 2(m + 2)[/tex]
HELP ME ASAP
Question is below!!
Answer:
E
Step-by-step explanation:
because its going up by 1's and so it would be 5x6/2 =15
can some one please help me on this and make it quick im leeving for a long trip here soon.
Answer:
364.46
Step-by-step explanation:
First we need the height of the cone
so we divide the cone to two equal parts that means the adjacent 5 inches will be divided into two to give 2.5
then we use get a triangle from the cone and that's how we find our height using pythagoras theorem
hypotenuse Square = opposite Square + adjacent Square
7^2 = x^2 + 2.5^2
therefore our height is 6.53
now to get the surface area of the cone we use the formula
pi×r( r + Square root of r^2 + h^2
what the y-intercept for -7x+2y=10
Answer:
See below.
Step-by-step explanation:
-7x+2y=10
/2 /2 /2
-7/2x+y=5
+7/2x +7/2x
y=7/2x+5
The y-intercept is 5.
-hope it helps
Solve for x.
−5x−8>22
Enter your answer in the boxes to correctly state the solution.
Answer:
x < -6
Step-by-step explanation:
-5x - 8 > 22
Add 8 to both sides: -5x > 30
Divide both sides by 5: -x > 6
Divide both sides by -1 (reverse sign): x < -6
Answer:
x < -6
Step-by-step explanation:
First we want to move all terms not containing x to the right side
-5x > 22 + 8
-5x > 30
Then we want to divide
-5x/5 < 30/-5
30/-5
x < - 6
Which is the quotient of 15 divided by 4?
Answer: 4
Step-by-step explanation:
4 goes into 15 three times with remainder 3
The quotient is the number that comes out of division
Therefore, the quotient is 4
What is the slope-intercept form of this equation? Show all your work. 6x + 2y = 12
from converting the linear equation 6x - 2y = 12 and slope intercept form we have to transpose terms to get the value of y hence equation and slope intercept form is y = 3x - 6.
13/x = 2/2-x
enter the value of x that makes the equation true
Answer:
26/15
Step-by-step explanation:
13/x= 2/2-x
the next step from here is to cross multiply and when we do that it's looks like this
13(2-x)=2*x
then we multiply
26-13x=2x
we then collect like terms
26=15x
therefore x= 26/15
we can leave our answer in this format or convert it to mixed fraction or decimal but its best to leave it in this format
Two or more expressions with an Equal sign is called as Equation. Value of x is 26/15 for equation 13/x=2/(2-x)
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is
13/x=2/(2-x)
Apply cross multiplication
13(2-x)=2x
Apply Distributive property on LHS side
13(2)-13x=2x
26-13x=2x
Add 13x on both sides
26-13x+13x=2x+13x
26=15x
x=26/15
Hence value of x is 26/15 for equation 13/x=2/(2-x)
To learn more on Equation:
https://brainly.com/question/10413253
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