Answer: They intersect at [tex](2\frac{1}{6}, \frac{1}{3} )[/tex]
Step-by-step explanation:
We can solve this system of equations through elimination
Add (4x+y=9) with (2x-y=4)
[tex]4x+y=9\\+2x-y=4\\=\\6x+0=13[/tex]
Now that y is canceled out we can solve for x
[tex]6x=13\\\frac{6x}{6}=\frac{13}{6} \\x=2\frac{1}{6}[/tex]
Now sub back x into one of the original equations to find the value of y
[tex]4(2\frac{1}{6} )+y=9\\8\frac{2}{3} +y=9\\8\frac{2}{3}-8\frac{2}{3}+y=9-8\frac{2}{3}\\y=\frac{1}{3}[/tex]
Write the following expression in terms of logs of x,y and z
Show steps
We can write the log expression in terms of the log of x, y, and z as expression 1/2(logx+2logy-8logz).
What is a logarithm?It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\\\log_ac = b[/tex]
We have an expression in logarithm:
[tex]=\rm log\sqrt{\frac{xy^2}{Z^8} }\\\\=log(\frac{xy^2}{Z^8})^{\frac{1}{2} }\\\\=\frac{1}{2}log(\frac{xy^2}{Z^8})[/tex] [tex](\rm loga^b = (b)log(a))[/tex]
[tex]\rm\frac{1}{2} (log(xy^2)-logz^8)[/tex] [tex](\rm log(\frac{a}{b} )= loga - logb)[/tex]
[tex]\rm\frac{1}{2} (log(x)+log(y^2)-logz^8)[/tex] [tex](\rm logab = loga+logb)[/tex]
[tex]\rm\frac{1}{2} (log(x)+2log(y)-8logz)[/tex]
Thus, we can write the log expression in terms of the log of x, y, and z as 1/2(logx+2logy-8logz).
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It takes 4 people 6 days to build a wall. How long would it take 6 people to build the same wall?
Answer:
1 day
Step-by-step explanation:
4=6
2=3
2*3=6
so 3/3=1
It would take 6 people to build the wall 1 day
It takes 4 days to build the same wall with 6 people based on the given ratio.
What are the ratio and proportion?The ratio is the division of the two numbers.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
It takes 4 people 6 days to build a wall.
The number of people days taken = 4 x 6 = 24 people takes
This means if one person wants to build them it takes 24 days.
For 6 people the time taken will be 24/6 = 4 days.
Hence "It takes 4 days to build the same wall with 6 people based on the given ratio".
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NOPQ is a rhombus. Given ON=110 and OQ=176. find each measure
Answer:
I cannot see the attachment
Step-by-step explanation:
Mr Wong spent $3750 on general expenses last month 20% of his general expenses
was electrioty charges. How much money did he pay for electricity charges laat
month?
Answer:
$750
Step-by-step explanation:
20% can also be written as 1/5 in fraction form (20/100)
3750 x 1/5 = 750
Full question and options
Answer:
D
Step-by-step explanation:
A triangle is always determined by the names of its angles. If, for any reason, you wanted to label it by its side names(which I don't even think you can do but assuming you wanted to), you dont even have the names for all three sides here. So, it can only be d. A, X, and T are the three angle names for this triangle, so this is triangle ATX or AXT.
Answer:
ATX (option d)
Step-by-step explanation:
Sides of any polygon are called as vertices.
Vertices of the triangle or endpoints of the sides of the polygon are A, T and X.
Triangles can also be classified by their angles. In an acute triangle all three angles are acute.
Stacy performed an experiment in which she rolled a six-sided die multiple times. The results are shown below.
Based on the results above, predict the number of times a 3 would be rolled it Stacy performs the experiment a total of 480 times
A. 63
B. 102
C. 87
D 141
Answer:
5/9
Step-by-step explanation:
Let the probability of getting a multiple of 3 is "A"
Let the probability of getting an even number is "B"
Total number of outcomes=36
Total number of favourable outcomes of either a multiple of 3 or an even number are
(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)
That is we have 20 favourable outcomes
Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=
total number of outcomes
favourable outcomes
Therefore, after substituting the values we get
probability=\frac{20}{36}probability=
36
20
After simplification we will get
probability=\frac{5}{9}probability=
9
5
is answer letter D.141
What is the volume of this container?
Answer:
6000 cm^3
Step-by-step explanation:
2(10 * 20 * 15) = 6000
CAN SOMEBODY HELP ME
NO LINKS
Domain of this function is R or (-∞,∞)
Cuz this function of definable in each and every real number
Dawn can paint of a wall in 1 hour. How
many walls can she paint in 2 hours?
sorry for not putting the picture
Answer:
Answer bellow
Step-by-step explanation:
9cm⋅12cm=108cm²
17cm=108cm²
7cm=108cm²
9cm=108cm²
3cm=108cm²
Answer:
407
Step-by-step explanation:
9 x 17 = 153
9 x 16 = 135
(15 x 14) x 1/2 = 105
add em up...
153 + 135 + 105 = 407
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
What is the answer?
2/5 + 3/4
Take LCM
5×4=20Now
2/5+3/48+15/2023/20Answer:
23/20
Step-by-step explanation:
2/5 + 3/4
LCM = 5 * 4 = 20
=》2/5 * 4/4 = 8/20
=》3/4 * 5/5 = 15/20
So,
2/5 + 3/4
= 8/20 + 15/20
= 23/20
_________
Hope it helps ⚜
What is the answer for -10+3--4+5?
Will give points please help
Answer:
Part A
Step-by-step explanation:
Did test for flvs, brainliest please ;)
is (x-4) a factor of f(x)=x^3-2x^2+5x+1 explain your reasoning
Answer:
No.
Step-by-step explanation:
It's simpler than you might expect.
If [tex](x - 4)[/tex] is a factor, then it means that it the function [tex]f(x) = x^3 - 2x^2 + 5x + 1[/tex] can have [tex](x - 4)[/tex] factorised out.
This means that we can say [tex](x - 4) = 0[/tex]
Therefore [tex]x = 4[/tex]
If we put [tex]x = 4[/tex] into the equation:
[tex]f(4) = (4)^3 - 2(4)^2 + 5(4) + 1\\= 64 - 32 + 20 + 1\\= 53[/tex]
We didn't get 0, therefore it isn't a factor!
Product of 630 and 7.2X 10 to the 4th power
Put it into your calculator
Product means multiply [tex]\times[/tex]
4th power means [tex]10^4[/tex]
[tex]630\ \times\ 7.2\times10^4 = 45360000 = 4.536\times10^7[/tex]
Find the surface area of the prism.
[tex]s \: a \: = (2 \times \frac{1}{2} \times 4 \times 6) + (3 \times 2 \times 5) \\ [/tex]
[tex]s \: a \: = 24 + 30[/tex]
[tex]s \: a \: = 54 \: \: {yd}^{2} [/tex]
10 brainlies!!!!! help with this question
Answer:
ok
Step-by-step explanation:
survey showed that the probablity that an e
claimed that he could help place any employee in
id in a job that Is sultable for the employee Is 0.65. A psychometric test consultant
company decides to take this test. The test has an a
based on the result of a psychometric test. An employee working in a particular
rate of 70%. This data is represented in the tree diagram.
fest predicts that
the employee is in
probability that
the employee
is in the
test precicts t
wrong job
the employee is in
the wrong job
Select the correct answer.
Which of these probability values fit the tree diagram?
RA) = 0.35, P(6) = 0.65, RQ) = 0.70, P(O) = 0.30, P(E) = 0.30, P(A) = 0.70
O B. PA) = 0.35, P(6) = 0.65, A(Q) = 0.70, R,D) = 0.30, A8) = 0.70, RA = 0.30
O c.
14) = 0.35, P(6) = 0.65, PQ) = 0.30, P(O) = 0.70, RJ8) = 0.70, AA = 0.30
= 0.30, PA = 0.70
Answer:
A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is
The mean for the data in the dot plot is 5. What is the absolute deviation for the data point at 7?
Answer:
The answer is 2. Hope this helps!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
PLEASE BE QUICK
Which point represents the fraction 3/6
A B C D
Answer:
C
Step-by-step explanation:
Answer: C
Out of 6 spaces on number line, C is the 3rd one
Adam says 0.25 is smaller then 2
_
5
Explain why he is correct
Step-by-step explanation:
0.25 = 1/4 is not reach to 1
2 is an integral number.
So, 0.25 is smaller than 2
Answer:
2/5 is equal to 0.40, which is higher than 0.25
Step-by-step explanation:
2 ÷ 5= 0.4 which is the same as 0.40
which expression is equivalent to (x^9yz^4)^5
Applying the rule of exponent, the equivalent expression is: [tex]x^{45}y^{5}z^{20}[/tex]
What is the Rule of Exponents?One of the rules of exponents is given as, [tex](xy)^m=(x^m)(y^m)[/tex].
Therefore, given:
(x9yz4)5
To find the equivalent expression, apply the rule of exponents as shown below:
[tex](x^9yz^4)^5=(x^{9*5})(y^5)(z^{4*5})[/tex]
[tex](x^9yz^4)^5=x^{45}y^5z^{20}[/tex]
Therefore, applying the rule of exponent, the equivalent expression is:
[tex]x^{45}y^{5}z^{20}[/tex]
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Find the surface area of the cone in terms of π.
Answer:
161 × pi cm²
Step-by-step explanation:
we just had the question about the lateral surface area (which is the area of the "mantle" of the cone from the round bottom to the pointy top).
the whole surface area of a cone is then simply the lateral surface area plus the ground area, which is a circle.
so, we have
A = pi×r×sh + pi×r²
r = radius (remember, this is half of the diameter)
sh = slant height (the length of the "mantle" straight up from the ground to the top)
so, the surface area of our cone here is
A = pi×(14/2)×16 + pi×(14/2)² = pi×7×16 + pi×7² =
= 112×pi + 49×pi = 161 × pi cm²
Help help help help math
Math
Answer:
Hope the picture will help you. And Please Mark me brilliant!!!
The product of two rational numbers is 6.If one of them is 8,find the other number.
With steps also please.
Answer:
0.75
Step-by-step explanation:
The "product" is a result of multiplication, so we know we are multiplying eight with something to get six. 0.75 is a rational number, and when multiplied by eight, gives six.
So, 0.75 * 8 = 6
The other number is 0.75
During a basketball game a player makes 12 of 18 free throws attempted. Write the ratio as a fraction reduced to lowest terms
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
12 out of 18 free throws is also equal to the fraction [tex]\frac{12}{18}[/tex]. To simplify this fraction, we have to find out the greatest common factor (GCF) of 12 and 18. It turns out that the GCF of 12 and 18 is 6. So, we have to divide the fraction by 6 to reduce it to its lowest terms.
[tex]\frac{12}{18} /\frac{6}{6} =\frac{2}{3}[/tex]
I hope this helps! Have a lovely day!! :)
The area of a rectangle is 27x2+27x-30 square feet. The length of the rectangle is 9x– 6 feet. What is the width of the rectangle?
Divide the polynomials to get the 3x + 5
{( - 1, 2), (0, 3), (1, 4)}
Which algebraic equation gives the correct rule for the table?
Answer:
The rule for the input-output table below is: add 1.5 to each input number to find its corresponding output number. Use this rule to find the corresponding output numbers. To find each output number, add 1.5 to each input number. Then, write that output number in the table.
Rob and Mike are selling cookie dough
for a school fundraiser. Customers can
buy packages of white chocolate chip
cookie dough and packages of oatmeal
cookie dough. Rob sold 12 packages of
white chocolate chip cookie dough and
6 packages of oatmeal cookie dough for
a total of $192. Mike sold 6 packages of
white chocolate chip cookie dough and
12 packages of oatmeal cookie dough
for a total $222. What is the cost of one
package of white chocolate chip cookie
dough and one package of oatmeal
cookie dough?
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the cost of white chocolate chip and y represent the cost of oatmeal dough, hence:
12x + 6y = 192 (1)
Also:
6x + 12y = 222 (2)
From both equations:
x = 9, y = 14
The cost of one package of white chocolate chip cookie is $9 while the cost of one package of oatmeal cookie dough is $14.
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How do I get this problem started