Answer:
y = 2
Step-by-step explanation:
Given table:
[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]
To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.
Determining the equation of the line that represents the table:
Y-intercept:
Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.
Slope:
The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).
[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]
[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]
[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]
Equation of line:
The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Obtained slope and y-intercept:
Slope = 1/2y-intercept = 0⇒ y = (1/2)x + 0
⇒ y = x/2
Therefore, the equation of the line is y = x/2.
Determining the value of y when "x" is 4:
Obtained equation of line that represents the table:
⇒ y = x/2Given value:
x = 4Therefore,
⇒ y = (4)/2⇒ y = 2Thus, the value of "y" when "x" is 4 is 2.
What is the true solution to l n 20 l n 5 = 2 l n x
Since the solution cannot be negative hence the true solution to the expression is x = 10
Laws of logarithmGiven the logarithmic expression
ln 20 + ln 5 = 2lnx
In logarithmic law, the sum of log is equivalent to its product .The equation above can be written as:
ln(20*5) = 2lnx
ln100 =2lnx
ln100 = lnx^2
x^2 =100
x = 10
Since the solution cannot be negative hence the true solution to the expression is x = 10
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Question Progress
Homework Progress
25 / 58 Marks
爾
ह
55
Here is a pattern made from sticks:
1
a) How many sticks would be in pattern number 6?
b)
How many sticks would be in pattern number n?
Answer:
a) 32
b) 2 +5n
Step-by-step explanation:
Given the stick patterns shown, with 7, 12, 17 sticks, you want to know (a) the number of sticks in pattern 6, and (b) the number of sticks in pattern n.
SequenceThe numbers of sticks in the patterns shown are ...
7, 12, 17
The differences between these numbers are ...
12 -7 = 5
17 -12 = 5
That is, the first pattern has 7 and the common difference between patterns is 5. This indicates the sequence is arithmetic.
b) General termThe general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
an = 7 +5(n -1) = 7 +5n -5
an = 5n +2 . . . . . . sticks in pattern n
a) Sixth termThe term when n=6 is ...
a6 = 5·6 +2 = 32 . . . . . . sticks in pattern 6
__
Additional comment
We find it easier to determine sticks in pattern 6 by first determining the formula for pattern n.
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3.5 divided by 0.375 with solution.
Answer:
9 and 1/3
Step-by-step explanation:
0.375 = 3/8
You can write the question as:
3.5/(3/8)
(7/2)/(3/8)
—> times to get denominator of 16
(56/16)/(6/16)
(56/16) x (16/6)
the 16 cancels out so we are left with:
56/6,
54/6 = 9
2/6 = 1/3
Therefore the answer is 9 + 1/3 = 9 and 1/3
Calculate the volume of each of the following prisms.
Answer:
The Rectangular prism in the top-left corner is 11,760. The top-middle rectangular prism is 7,938. The top-right rectangular prism is 4,851. The shape that is orange and pink I don't know what it is. The triangular prism on the middle of the page is 11.781. The blue cylinder is 38,936. The green rectangular prism is 23,125. The "clear" rectangular prism on the bottom row is 31,668. The rectangular prism in the bottom right corner is 14,688. That is all, I'm almost 100 percent sure they are all right!
Mariya is solving the quadratic equation by completing
the square.
4x2-20x+3=0
4x2-20x=-3
A(x2-5x)=-3
what is the question, I'm confused?
Answer:
This is the best I can do because your question is un clear
Step-by-step explanation:
The point (3,-5) is reflected across the x axis. What are the
coordinates of this reflection?
The equation of x-axis is y=0.
Draw cordidate axis and you will find that taking image of coordinate (-3, 5) along y=0 is (-3, -5)…
Only sign of y changes then it becomes (-3, -5).
what is the exponential equation of (0,3) and (3,100)
HELP
Answer:
[tex]y=(\frac{\sqrt[3]{900}}{3})^x[/tex]
Step-by-step explanation:
A-attached earlobes a-unattached earlobes if a is the allele for having attached earlobes, what percentage of offspring will have attached earlobes? 25% 50% 75% 100%
The percentage of the offspring that will have atatched earlobes as the dominant trait, is: 50%.
What is a Dominant Trait?
A dominant trait surpresses a recessive trait, and expresses itself. The allele of a dominant trait is usally denoted using capital letters.
Given the following traits:
A - attached earlobes (dominant allele)
a - unattached earlobes (recessive allele)
A cross between Aa and aa is shown in the image attached below.
The offspring having attached earlobes = 2 Aa = 50%.
50% of the osspring will have attached earlobes.
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Kaylee owns a small business selling clothing. She knows that in the last week 3
customers paid cash, 21 customers used a debit card, and 46 customers used a credit a
card.
Based on these results, express the probability that the next customer will pay with a
debit card a as a decimal to the nearest hundredth.
Answer:
0.3
Step-by-step explanation:
Find the value of -8 - 12 - (-20).
24
16
-40
0
Answer: 0
Step-by-step explanation:
what is the product of 5.06 and 2.1
Answer:
10.626
Step-by-step explanation:
There's multiple ways to go about it. See how
5.06 * 2.1 = (5 + 0.06)(2 + 0.1) = 5*2 + 0.06*2 + 5*0.1 + 0.06*0.1 =
= 10 + 0.12 + 0.5 + 0.006 = 10.626
Please notice how breaking up the product into smaller parts has let us make all the computations without too much hassle.
Answer:
The product is 10.626
Step-by-step explanation:
hope this helps
A flat rate shipping box is in the shape of a rectangular prism. You estimate that the volume of the box is 350 cubic inches. You measure the box and find that it has a length of 10 inches, a width of 9 inches, and a height of 4.5 inches. Find the percent error. Round your answer to the nearest tenth of a percent.
Please help thank you!!!
I will add more points
Answer:
15.7%
Step-by-step explanation:
You can't add points once you have posted the question. For those who are interested 50 points is more than enough.
Remark
There are two ways of calculating % error. Chemistry uses one way. Most others use the second method. I have used the second method.
Measurements
L = 10 in
w = 9 in
h = 4.5 in
Estimated result
350 cubic cm
Solution
Find the volume from the measurements of the Prism
V = L * w * h
V = 10 * 9 * 4.5
V = 405 in^3
Percent Error
% error = 100 * (Calculated Value - Estimated value)/(Estimated Value)
% error = 100 * (405 - 350)/350
% error = 100 * ( 55) / 350
% error = 15.71
% error = 15.7 (rounded)
Please please please please can someone help me with these four! giving brainly!
Answer:
area of rectangle 5 is 84.87
area of rectangle 6 is 27.71200
rectangle 7: perimeter is 64.64800 area is 104.96
rectangle 8: area is 32.69 perimeter is 36.15400
Note:
if i got any wrong im deeply sorry but good luck with this
Mary has been put in charge of buying soft drinks and chips for a party. If the soft drinks total $25
and chips are $3.29 per bag, how many bags of chips can Mary buy if she wants to spend at most $100.
Answer:22
Step-by-step explanation: he has only $75 to spend on chips . 75/ 3.29
please help i’ll give points
Answer:
I dont know if this will help or not but
Step-by-step explanation:
Answer:
I don't know but I think c. I could be wrong so be careful.
A box of mints contains 20 mints. Allison and her family have already
eaten 8 mints. Allison puts the remaining mints on 2 dishes to serve to
visitors. She puts the same number of mints on each dish. How many
mints does Allison put on each dish?
Answer:
6+6=12 because they were 20-8=12 left and Allison puts 6 and 6 on the single dish
Answer:
6 mints
Step-by-step explanation:
after Alison eats 8 mints there's 12 remaining mints in the box . to distribute an equal amount of mints in two dishes, the number will be 12/2 that's equal 6 mints in each dish.
Please help. I will give brainiest.
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Answer:
STEP 1:
((4•(x2))-(y2)) ((x2)+xy)÷ (((2•(x2))-7xy)+(3•(y2))) ÷ (23x5•y)
Equation at the end of step 1
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 2 :
((4•(x2))-(y2)) ((x2)+xy) ÷ (((2•(x2))-7xy)+3y2) ÷ 23x5y
Equation at the end of step 2:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 3:
((4•(x2))-(y2)) - ((x2)+xy)÷ ((2x2-7xy)+3y2) ÷ 23x5y
Equation at the end of step 3:
(((x2)•y)-(x•(y2))) (8x+4y)
STEP 4:
x2 + xy
Simplify
8x + 4y
STEP 5:
Pulling out like terms 5.1 Pull out like factors :
x2 + xy = x • (x + y)
STEP 6:
Pulling out like terms 6.1 Pull out like factors :
8x + 4y = 4 • (2x + y)
Equation at the end of step 6:
((4•(x2))-(y2)) x•(x+y)÷ (2x2-7xy+3y2) ÷ 23x5y(((x2)•y)-(x•(y2))) 4•(2x+y)
STEP7:
x•(x+y)
Divide ———————— by 2x2-7xy+3y2
4•(2x+y)
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Need help on this please
Answer:
First Question is 20. Second one is 12 and the third one is 30.
Step-by-step explanation:
Hope this helps! :)
Find the equation of the line parallel to y = - 1/2x -5, that passes through the point (4, -3). Write your answer in slope intercept form.
Answer:
y = -1/2x - 1
Step-by-step explanation:
Hi there!
We are given the equation y = -1/2x - 5
We want to write an equation parallel to this line, that passes through the point (4, -3)
Parallel lines have the same slope
In y=-1/2x-5, the equation is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
-1/2 is in the place of where m is, therefore it is the slope of the line
It is also the slope of the new line that we want to create.
As we already know the slope of this new line, we can substitute it into our equation (y=mx+b):
y=-1/2x+b
Now we need to solve for b
As the equation passes through the point (4, -3), we can use its values to help solve for b
Substitute 4 as x and -3 as y:
-3 = -1/2(4)+b
Multiply
-3 = -2+b
Add 2 to both sides
-1 = b
Now substitute -1 as b into the equation
y = -1/2x -1
Hope this helps!
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GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
earn on her fifth and final quiz so that both the mean and median of her quiz scores is 21?
points
if you can mow 90 lawns in 45 minutes how long will it take to mow 12 lawns?
Answer:
24 minutes
Step-by-step explanation:
90/45=2 x 12 = 24
Hope It Helps
write down the inequality for x that is shown on this line
Answer:
x < 5
Step-by-step explanation:
the open circle above 5 means that x cannot be equal to 5
the arrow points left indicating values of x are less than 5 , then
x < 5
The required inequality for the given line is x < 5.
Inequality shows relation between two expression which are not equal to each others.
According to the given line,
The value of x is less than 5, implies that x can be 5 to -∞
Also, at x = 5, there is an open circle, implies that,
The value of x can not be equal to 5.
So the inequality can be written as,
x<5
The inequality is x<5 for the given line.
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How many terms are in this polynomial?
What is the degree of the fourth term?
What is the coefficient of the second term?
What is the degree of the polynomial?
Answer:
4 terms
Degree of the 4th term = 5
Coefficient of the 2nd term = -6
Degree of the polynomial = 11
Step-by-step explanation:
Terms of polynomials: parts of the expression that are separated by the addition or subtraction operation.
Therefore, there are 4 terms in this polynomial.
If a term of the polynomial has more than one variable, then to calculate the degree of that term, add the powers of all the variables in the term.
Therefore, the degree of the fourth term is:
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
The coefficient is the constant. Therefore, the coefficient of the second term is -6
Degree of a polynomial: The greatest exponent of a variable in the polynomial equation.
As some of the terms in this polynomial have more than one variable, we must first calculate the degrees of the individual terms, and then select the greatest as the degree of the polynomial equation.
[tex]-2x^9 \implies \textsf{degree}=9[/tex]
[tex]-6x^2y^6 \implies \textsf{degree}=2+6=8[/tex]
[tex]9x^7y^4 \implies \textsf{degree}=7+4=11[/tex]
[tex]-\dfrac43x^3y^2 \implies \textsf{degree}=3+2=5[/tex]
Therefore, the greatest degree is 11, so this is the degree of the polynomial.
#1
There are four terms
-2x⁹-6x²y⁶9x⁷y⁴-4/3x³y²#2
Degree of fourth term
3+25#3
Coefficient of -6x²y⁶
-6#4
Third term has highest degrees
7+4=11Degree of polynomial=11
Isaac is helping his mom build a tree house. Isaac is dividing the board shown below into 8 equal pieces. how long will each piece be?
Answer: x/8
Step-by-step explanation:
take the length of the board and divide it by 8
The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as a single digit times an integer power of 10. Show your work.
The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
We're given that:
Average thickness of a chicken eggshell = 0.000356 m
We can rewrite it as:
[tex]0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}[/tex]
Since we need to write it as a single digit times an integer power of 10, therefore, we get:
[tex]3.56 \times 10^{-4} \approx 4 \times 10^{-4}[/tex]
Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)
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please help me i will give brainlyest to anyone who gets it correct!!!
Answer:
See below
Step-by-step explanation:
3x-429 + x/4 = 130 shows x = 172
QSN = 3x -429 = 87 degrees
HSX = 87 degrees
HSQ = 180 -87 = 93 degrees
XSN = x/4 = 43
PSN = 93 - 43 = 50
Please answer the question and explain
Step-by-step explanation:
follow through that diagram. l have divided it into 3 figures A, B and C
PLEASE HELP!! 100 points!
1. Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need to handle them separately.
(A)What is 0.47 expressed as a fraction in simplest form?
(B)What is 0.4¯7 expressed as a fraction in simplest form?
(C)What is 0.¯47 expressed as a fraction in simplest form?
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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What do the following two equations represent?
y
=
−
2
3
x
+
11
y=−
3
2
x+11y, equals, minus, start fraction, 2, divided by, 3, end fraction, x, plus, 11
y
+
7
=
3
2
(
x
−
5
)
y+7=
2
3
(x−5)
Answer:
unclear sorry try 34
Step-by-step explanation:
try 34 hm
Answer:
perpendicular
Step-by-step explanation:
I got it right on khan
Calculate the perimeter of the shape below. Show ur work!
Answer: 88 ft
Step-by-step explanation:
There are 2 sides that are 26 ft (multiply 26 by 2 to get 52)
There are 2 sides that are 18 ft (multiply 18 by 2 to get 36)
Add 52 and 36 together to get 88. Don't forget to add the units so it reads 88 ft.