Answer:
Yes
Step-by-step explanation:
start with 5y=x-5
divide both sides by 5 to get:
y= x/5 - 1
since a linear equation is represented by y=mx+b, and this can be represented in that form, this is a linear equation.
The carpet costs $2.59 per square foot, and sales tax is 7.5%. What is the total cost of the carpet? (Round to two decimal places as usual.)
What is the second term in the binomial expansion of (2x−3y)12 ?
Recall the binomial theorem:
Group of answer choices
73728x11y1
−73728x11y
−608256x10y2
608256x10y2
The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
Read more at; https://brainly.com/question/24102756
4. Find PQ. N Р 5x + 16 S R 9x - 32 Q
Answer:
76
Step-by-step explanation:
PQRS is a Rhombus.
Property of Rhombus : -
All sides are equal.
So,
PQ = QR = RN = NP
RN = 5x + 16
QR = 9x - 32
QR = RN
5x + 16 = 9x - 32
9x - 32 = 5x + 16
9x - 5x = 16 + 32
4x = 48
x = 48 / 4
x = 12
Substitute x = 12 in RN,
RN = 5x + 16
= 5 ( 12 ) + 16
= 60 + 16
RN = 76
Since,
PQ = QR = RN = NP
Therefore,
PQ = 76
let H be the altitude from vertex C. Which proves the first equality in the law of sines
The sine law of triangles can be proved by dividing the triangle into right-triangles.
Option (c) proves the first equality in the law of sines
From the question, we have:
h equals to the distance from point C to segment AB
The sine of angle is:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
For angle at A, we have:
[tex]\mathbe{\theta = A}[/tex]
[tex]\mathbf{Hypotenuse = b}\\\mathbf{Opposite = h}[/tex]
So, we have:
[tex]\mathbf{sin(\theta) = \frac{Opposite}{Hypotenuse}}[/tex]
Substitute values for Opposite, Hypotenuse and theta
[tex]\mathbf{sin A = \frac{h}{b}}[/tex]
Similarly
[tex]\mathbf{sin B = \frac{h}{a}}[/tex]
Make h the subject
[tex]\mathbf{h = a\ sinB}[/tex]
Substitute [tex]\mathbf{h = a\ sinB}[/tex] in [tex]\mathbf{sin A = \frac{h}{b}}[/tex]
[tex]\mathbf{sin A = \frac{a\ sinB}{b}}[/tex]
Divide both sides by a
[tex]\mathbf{\frac{sin A}{a} = \frac{sinB}{b}}[/tex]
Hence, the correct option is (c).
Read more about proof of sine law at:
https://brainly.com/question/4637169
Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to do it if contains a surd just on its own.
Step-by-step explanation:
√a = 1√a so we can solve them easily:
b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7
d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6
g) √2+2√2= 3√2
j) √5+5√5 - 3√5 = 3√5
k) 2√3 + √3 - 5√3= -2√3
I) 5√11 + 7√11 - √11 = 11√11
253 19/26 rounded to the nearest ten
Answer:
250
Step-by-step explanation:
As a decimal 253 and 19/23 can be written as 253.73
If we think about 253.73 being closer to 250 or 260, we can see that it is closer to 250, so that is the nearest ten we will round to.
Even if it is too difficult to convert to a decimal, if we round 19/23 to 23/23, our number becomes 254. The nearest ten is still 250.
rounding 615×38 to 1 significant figure estimate
Answer:
24,000
Step-by-step explanation:
615 ≈ 600
38 ≈ 40
600 × 40 = 24,000
Therefore, 615 × 38 ≈ 24,000
6846 is shared equally between 7 people how much does each person get?
Answer:
978
explanation is a calculator
15. In his piggy bank, Neil has three times as many dimes as nickels and he has four more quarters than nickels. The coins total $4.60. How
many of each coin does he have?
10 quarters 6 nickels 18 dimes
HELPPP
Indicate the equation of the given line in standard form, in the equation box below.
The line through (2, –1) and parallel to a line with slope of 3/4.
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
find me < 7 and m < 8 pls
Answer:
∠8 is 105° and ∠7 is 75°
Step-by-step explanation:
Angles 4 and 8 are corresponding angles, and are congruent.
Angles 8 and 7 are a linear pair
0.28÷0.007please answer me
Answer:
40
Step-by-step explanation:
0.28÷0.007
=280÷7
=40
_________
[tex] \: [/tex]
0,28 ÷ 0,007 = ...
[tex] = \frac{28}{100} \div \frac{7}{1.000} [/tex]
[tex] = \frac{28}{100} \times \frac{1.000}{7} [/tex]
[tex] = \frac{28.0 \cancel{00}}{7 \cancel{00}} [/tex]
[tex] = \frac{280}{7} [/tex]
[tex] \longmapsto \boxed{ \bold{ \red{40}}}[/tex]
What is a pair of alternate interior angles?
Answer:
D. ∠2 and ∠8
Step-by-step explanation:
common sense lol
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
8 millimeters 4x where x is 2 millimeters
If a sum invested gains 10% each year how long will it be before it has doubled its
value?
Using an exponential equation, it is found that it will be 7.3 years before the value is doubled.
The equation for an increasing exponential function is given by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial amount.r is the growth rate, as a decimal.In this problem:
Gains 10% each year, thus [tex]r = 0.1[/tex].The doubling time is t for which [tex]A(t) = 2A(0)[/tex], then:
[tex]A(t) = A(0)(1.1)^t[/tex]
[tex]2A(0) = A(0)(1.1)^t[/tex]
[tex](1.1)^t = 2[/tex]
[tex]\log{(1.1)^t} = \log{2}[/tex]
[tex]t\log{1.1} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.1}}[/tex]
[tex]t = 7.3[/tex]
It will be 7.3 years before the value is doubled.
A similar problem is given at https://brainly.com/question/23008760
Which one is the one?
Answer:
yes because are slopes are the same
2. Louis kept losing money through a hole in his pocket. He started with 35€, lost 20€.
put in 754 more, spent 43¢ lost 16¢ again, and then put in 14¢. How much change should
there be in his pocket?
Your answer should be 724 cents, in dollars that is $7.24
Step-by-step explanation:
from the cents is shoes be 724 and the dollars souls be $7.24
what is the purpose of using measures of variability?
what is the answer to 12 divided by 51.6??? can i have an explanation to please if you guys don't mind??
Answer:
will u give the brainliest?
-2/3,0.6,3/4,-7/4,0,3 from least to greatest
Answer:
-7/4 < -2/3 < 0 < 0.6 < 3/4 < 3
Step-by-step explanation:
Can you help me
algebra 1
See the picture above for the solution.
Choose the system for this graph
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
64 hundredths + 8 hundredths add decimals
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
Does anyone know how to do multiple in fractions like for a example 1/12•1/3? Please explain step by step
[tex] \frac{1}{12} \times \frac{1}{3} \\ = \frac{1 \times 1}{12 \times 3} \\ = \frac{1}{36} [/tex]
When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.Please help as soon as possible :))
Answer:
x=45 y=60
Step-by-step explanation:
the picture is kinda blurry but if im seeing it correctly its ^^^
Now when the spending multiplier is same as the one calculated in Q 4c and if there is a decrease in government purchases by $50,000. Calculate the change in AD. (Show your work)
Will AD increase or decrease?
Answer:
a. The real GDP increases by $200,000.
a. The real GDP increases by $150,000.
Step-by-step explanation:
a. What is the eventual effect on real GDP if the government increases its purchases of goods and services by $50,000?
Eventual effect on real GDP = Amount of increase in government spending * (1 /(1 - MPC)) = $50,000 * (1 / (1 – 0.75)) = $200,000
Therefore, the real GDP increases by $200,000.
a. What is the eventual effect on real GDP if the government, instead of changing its spending, increases transfers by $50,000?
Eventual effect on real GDP = (Amount of increase in government transfers * (1 /(1 - MPC))) - Amount of increase in government transfers = ($50,000 * (1 / (1 – 0.75))) - $50,000 = $150,000
Therefore, the real GDP increases by $150,000.
HELP POINTS FOR Each answEr quantity 4 times x plus 3 end quantity divided by 5 equals quantity 8 times x minus 1 end quantity divided by 9.
[tex]\displaystyle \frac{4x+3}{5} ^{/9}=\frac{8x-1}{9} ^{/5} \\\\\\ 36x+27=40x-5 \\\\ 40x-36x=27+5\\\\ 4x=32 \\\\ \boxed{x=8 }[/tex]
Step-by-step explanation:
Given fractional expression:
(4x+3)/5 = (8x-1)/9
By doing cross multiplication, we get
⇛4x(9) + 3(9) = 8x(5) - 1(5)
⇛36x + 27 = 40x - 5
Now, combine the like terms in one side.
⇛27x - 40x = -5 + 36
⇛-13x = 31
⇛x = 31/-13 Ans.
A rectangles has a length 2 ft less than three times its width what is the area of the rectangle when its width is 2 ft
Answer:
8
Step-by-step explanation:
rectangle length is 2-3w
w=2
3 x 2=6 - 2=4
l x w
4 x 2 =8
1/3 x 2/5 in simplest form
Answer:
2/15
Step-by-step explanation:
1/3 x 2/5
= ( 1 x 2 ) / ( 3 x 5 )
= 2/15
Answer:
2/15
Step-by-step explanation:
1/3*2/5
(1*2)/(3*5)
2/15