The Nethanel's monthly Social Security benefit is :$ 705.88
What makes the household monthly income of $1,800?
The household monthly income of $1,800 comprises the monthly income and social security of Nethanel Stuck and his wife monthly income from social security which is 70% of Nethanel's
total income=$600+x+(70%*x)
total income=$1,800
Nethanel social security=x
wife's monthly income=70%*x=0.70x
1800=600+x+0.70x
1800-600=1.70x
1200=1.70x
x=1200/1.70
x=Nethanel's monthly Social Security benefit=$ 705.88
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Select the correct answer from each drop-down menu.
A researcher is examining the claims made by water softener salt manufacturer. He performs an experiment using water from a variety of sources. For
each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is v because the sample is MEY In this instance, an
v study was
performed.
Step-by-step explanation:
Select the correct answer from each drop-down menu. A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true. The conclusion drawn from the study is because the sample is . In this instance, an study was
ANSWEE ASAPP !!! i’ll mark u brainliest
what point do the equations y=2x+1 , y=3x+1 and 5x+1 have in common?
a) 2,0
b) 0,3
c) the origin
d) they have no point in common
e) 0,1
Answer:
E) (0, 1)
Step-by-step explanation:
We can equalize the first two equations to find a certain point they share. We can then check if the third line also passes through this point if substituting that point's x coordinate into the third line's equation returns the point's correct y value.
[tex]2x + 1 = 3x + 1 \\\to 0 = x[/tex]
Therefore, the point is (0, 1) as substituting [tex]x = 0[/tex] into the first equation returns [tex]y = 1[/tex].
Substituting [tex]x = 0[/tex] into the third equation does also return [tex]y = 1[/tex], therefore, that line passes through the shared point (0, 1).
PLEASE HELP ME!!!!
ALGEBRA 1.
4 QUESTIONS PLEASE LOOK AT THE PHOTOS
The equation that shows the different and incorrect relationship is C. b = ✓(a² + c²)
How to illustrate the information?It should be noted that from the information the Pythagoras theorem was illustrated and given as c² = a² + b²
Therefore, the equations that can be gotten from it include b² = c² - a².
It should be noted that the equation that shows the different and incorrect relationship is b = ✓(a² + c²)
In conclusion, the correct option is C.
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Arun bought 10 chicken wings for $10.00. How much would it cost for 3 wings?
Answer:
$3.00
Step-by-step explanation:
Nautica is making a scaled copy of a square using a scale factor of 2. which of the following is NOT true?
A. each angle is multiplied by 2
B. the corresponding side lengths are multiplied by 2
C. The perimeter is multiplied by 2
D. The corresponding angles in each figure are equivalent
When Nautica is making a scaled copy of a square using a scale factor of 2, the option that isn't true is D. The corresponding angles in each figure are equivalent.
How to illustrate the information?It should be noted that based on the information given, we've to multiply the given figures by 2
Therefore, each angle is multiplied by 2, the corresponding side lengths are multiplied by 2, and the perimeter is multiplied by 2
Therefore, the correct option is D.
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The binomial x + 7 is a factor of polynomial p.
Use this information to complete the equation.
If the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(-7) = 0
How to determine the true statement?The given parameters are
The binomial (x + 7) is a factor of the polynomial function f(x)
The above means that
When the function f(x) is divided by x + 7, it has no remainder
So, we have
x + 7
Set to 0
x + 7 = 0
Add -7 to both sides
x = -7
Substitute x = -7 in f(x) = 0
f(-7) = 0
Hence, if the binomial (x−7) is a factor of the polynomial function f(x), then the true statement is f(-7) = 0
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Sketch the graph of the function by first making a table of
values.
[tex]f(x)=-x+3, -3\leq x\leq 3[/tex]
A pictorial representation or a diagram that represents data or values in an organized manner. For function f(x)=-x+3, -3≤x≤3 the graph is in attachment.
What is Graph?A pictorial representation or a diagram that represents data or values in an organized manner.
Given f(x)=-x+3, -3≤x≤3
It means x values lies from -3 to 3
x -3 -2 -1 0 1 2 3
f(x) 6 5 4 3 2 1 0
By taking the table values we can draw a graph.
Therefore the attached graph is the graph for f(x)=-x+3.-3≤x≤3.
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If m<1 = (7x-19), and m<2 = (x + 5)°, find m2
Answer: m<2 = 18°
Step-by-step explanation:
m<1 + m<2 = 90°
7x - 19 + x + 5 = 90°
First add common variables; 7x + x = 8x || -19 + 5 = -14
8x - 14 = 90°
Second add 14 on both sides;
8x - 14 = 90°
+14 +14
8x = 104°
Third divide 8 to 104
[tex]\frac{8x}{8} = \frac{104}{8}[/tex]
x = 13
m<1 7(13) - 19 + m<2 (13) + 5 = 90°
13 * 7 = 91
91 - 19 = 72
72 + 13 = 85
85 + 5 = 90°
m<2 = 13 + 5 = 18°
Hope this helps! :]
--Blu
HELP QUICKLY PLS, LIST THE VALUES FROM LEATS TO GREATEST (IN THE CORRECT ORDER PLS)
Answer:
[tex]-\frac94 \to -2\frac3{20} \to-2.05\to\frac78 \to 89(percent) \to 0.9[/tex]
Step-by-step explanation:
[tex]-2\frac3{20} = -2.15\\89(percent) = 0.89\\-\frac94 = -2.25\\\frac78 = 0.875[/tex]
Answer:
[tex]-\frac{9}{4}, -2\frac{3}{20} ,-2.05, 7/8, 89%, 0.9[/tex]
Step-by-step explanation:
We know that the number line goes from negative to positive
Convert everything to decimal
89% = 0.89
[tex]-2\frac{3}{20} =-2.15[/tex]
-9/4 = [tex]-2\frac{1}{4} = -2.25[/tex]
7/8 = 0.875
[tex]-\frac{9}{4}, -2\frac{3}{20} ,-2.05, 7/8, 89%, 0.9[/tex]
Hope this helps :)
Have a great day!
What is the x equivalent to for x/5=10 ?
Answer:
50
Step-by-step explanation:
because 10 × 5 is 50
- to check 50 ÷ 4 is infact equal to 10 (make sure u always double check ur answers)
A piece of stained glass in the shape of a parallelogram LMNO is such that the diagonal LN is at a right angle to LM. Given that LM= 12 cm and MN = 15 cm, find the area of the piece of stained glass.
The area of stained glass with a parallelogram shape is 108cm².
What are parallelograms?A parallelogram in Euclidean geometry is a simple quadrilateral with two pairs of parallel sides. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.So, Area of parallelogram = Base × Height
Area of parallelogram = 2 × (area of triangle LMN)(as LON triangle corresponding to LMN)Now, in △LMN use the Pythagorean theorem:
LM² + LN² = MN²12² + LN² = 15²LN² = 225 - 144LN = √81LN = 9cmUsing the parallelogram area formula:
Area = Base × HeightBase = LM = 12 cmAltitude = LN = 9 cmArea of LMNO parallelogram = (12 × 9) cm²Area of LMNO parallelogram = 108 cm²Then,
Area of Triangle LMN = 1/2 × LM × LNArea of Triangle LMN = 1/2 × 12 × 9Area of Triangle LMN = ( 6×9 )cm²Area of Triangle LMN = 54 cm²Area of parallelogram LMNO = Twice of area of triangle LMNArea of parallelogram LMNO = (2 × 54) cm²Area of parallelogram LMNO = 108 cm²Therefore, the area of stained glass with a parallelogram shape is 108cm².
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From 100 yards away, a marksman hit 9/10 of the targets last year.
From 100 yards away, a marksman hit probability of It means 90% of the targets were hit .
What is the probability?
Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.Total no of targets = 10
number of targets hit = 9
= 100/10 = 10
= 10 * 9 ⇒ 90
It means 90% of the targets were hit .
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Solve the following linear systems of equations using substitution. y = 3x + 5 y = 2x + 4
Which of the following functions is graphed below?
Answer: Im not sure but have a wonderful day god bless you.
Step-by-step explanation:
Sam evaluated the expression x2y for x = 7 and y = 9. He got a value of 49. Which of the following statements is correct?
Hey there!
x^2 * y
= 7^2 * 9
= 7 * 7 * 9
= 49 * 9
= 441
Thus, the answer should be:
441
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Select which pair of lines can be proven parallel by using the given angle measures.
A. L || n
B. a || c
C. b || c
D. a || b
Answer:
C. b || c
Step-by-step explanation:
Answer:
c) b // c
Step-by-step explanation:
Two lines are said to be parallel when one of the conditions is true.
1) Corresponding angles are equal.
2) Alternate interior angles are equal.
3) Co interior angles are supplementary.
∠1 =115° {Vertically opposite angles}
∠1 = ∠2 = 115°
If corresponding angles are equal, then the lines are parallel. So, b // c
explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) x+5/3 to determine if f(x) and g(x) are inverse of each other.
This is the same as g(x) which, therefore the functions are inverse of each other.
What does a math inverse mean?
Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. The term "inverse" refers to the reciprocal of a number, i.e., x - 1 = 1 / x. One results from multiplying a number by its reciprocal, or inverse.for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.
so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.
to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:
y = 3x - 5
solve for x:
y + 5 = 3x
x = (y + 5) / 3
swap x and y:
y = (x + 5) / 3
this is the same as g(x) which, therefore the functions are inverse of each other.
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Jing records the amount of time he spends studying in 1 month. He spends a total of 82 hours studying math, chemistry, and history. The number of hours he spends on chemistry is twice the number that he spends on math. He spends 7 hours more than 4 times the number of hours on history as he does on math and chemistry combined. How much time does he spend studying each subject?
The number of hours that Jing spent on each subject will be;
Mathematics = 5.36 hours
Chemistry = 10.72 hours
History = 71.32 hours
How to illustrate the information?Let the number of hours spent on Mathematics = x
Chemistry = 2x
History = 4(2x + x) + 7 = 12x + 7
Total hours = 82 hours
Therefore, the time used for each will be illustrated:
x + 2x + 12x + 7 = 82
14x + 7 = 82
14x = 82 - 7
14x = 75
x = 75 / 14
x = 5.36 hours
Mathematics = x = 5.36 hours
Chemistry = 2x = 2 × 5.36 = 10.72 hours
History = 4(2x + x) + 7 = 12x + 7 = 71.32 hours
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Find the value of x so that line m is parallel to line l.
Based on the given parameters, the value of x such that the lines are parallel is 20
What are parallel lines?Parallel lines are lines that extend indefinitely and do not meet
How to determine the value of x?The given parameter is the lines in the figure
From the figure, we have the following angles:
3x + 20 and 2x + 40
The angles are corresponding angles
Corresponding angles are congruent
So, we have
3x + 20 = 2x + 40
Collect the like terms
3x - 2x = 40 - 20
Evaluate the like terms
x = 20
Hence, the value of x such that the lines are parallel is 20
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Will give Branliest ASAP PLEASE
Answer: Evaluate x[tex]\frac{8}{3}[/tex]
DIFFERENTIATE W.R.T. X
[tex]\frac{8x\frac{5}{3} }{3}[/tex]
Step-by-step explanation:
There are 36,102 bags filled with coins. There are 21 coins in each bag. How many coins are
there in all?
Cam you please help with math homework.
The values of the variables in the ordered pair are as follows;
18. y = 10
19. x = 6
20. y = -14
21. x = -4
22. x = -5
23. x = 40
24. y = -30
25. y = 5
What are ordered pairs?Ordered pairs are points located on the graph of a function.
In a direct variation, we have;
y = m•x
Where;
m = The slope of the line joining the points
18. (2, -4), (-5, y) the ordered pair is a direct variation
The slope = (y + 4)/((-5) - 2) = (y + 4)/(-7)
y = (y + 4)/(-7) × (-5)
7•y/5 = y + 4
7•y/5 - y = 4
2•y/5 = 4
y = 1019. (4, 16), (x, 24)
m = (24 - 16)/(x - 4) = 8/(x - 4)
y = 24
Which gives;
24 = (8/(x - 4))×x
24 × (x - 4) = 8•x
16•x = 96
x = 96/16 = 6
x = 620. (12, y), (4, 7)
m = (7 - y)/(4 - 12) = (7 - y)/(-8)
y = ((7 - y)/(-8)) × 12
12•y/(-8) = 7 - y
12•y = -56 + 8•y
4•y = -56
y = -56/4 = -14
y = -1421. (x, -16), (6, 24)
m = (24 - (-16))/(6 - x) = 40/(6 - x)
-16 = (40/(6 - x))×x
16•x - 96 = 40•x
24•x = -96
x = -96/24 = -4
x = -422. y = -18, x = 3
-18 = m×3
m = -18/3 = -6
When y = 30
x = 30/(-6) = -5
x = -523. y = 80 when x = 32
m = 80/32 = 10/4 = 2.5
When y = 100, we have;
x = 100/2.5 = 40
x = 4024. y = 10 when x = -4
m = 10/(-4) = -2.5
When x = 12, y = 12 × (-2.5) = -30
y = -3025. y = -7 when x = -28
m = -7/(-28) = 1/4 = 0.25
When x = 20, y = 0.25 × 20 = 5
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By measuring the amount of carbon- 14 in an object, a paleontologist can determine its approximate age. The amount of carbon- 14 in an object is given by y=a e⁻⁰.⁰⁰⁰¹²t , where a is the amount of carbon-14 originally in the object, and t is the age of the object in years. In 2003, a bone believed to be from a dire wolf was found at the La Brea Tar Pits. The bone contains 14 % of its original carbon-14. How old is the bone?
- What numbers should you substitute for y and n ?
- What properties of logarithms and exponents can you use to solve the equation?
According to basic algebra and the logarithm, the bone is roughly 16384 years old.
Y and t may have the following values: t = 16384, y = 16380. (a). (as determined using logarithm and elementary algebra).
What is logarithm?The logarithm is exponentiation's opposite function in mathematics.
The power to which a number must be increased in order to obtain another number is known as a logarithm. This shows that the logarithm of a fixed integer base b represents the exponent to which that number must be raised in order to reach a specific number x.
The logarithm with a base of 10 is the common logarithm, commonly referred to as the value of log base 10. The common logarithm of 10 has a value of 1, or 1.
Let 'a' be the original amount of the object.
Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).
We are also given that: y = a [tex]e^{-0.00012t}[/tex]
On substituting the value of y, we get: 0.14a = a [tex]e^{-0.00012t}[/tex]
By basic algebra, we can solve it as:
=> 0.14 = [tex]e^{-0.00012t}[/tex]
=> ln (0.14) = ln ( [tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)
=> ln (0.14) = - 0.00012t (as [tex]log_{b} a^{m} = m log_{b} a[/tex] ; further: [tex]log_{e} e=1[/tex] )
=> ln(0.14)/-0.00012= t
=> t = 16384 years (approx.)
The values of y and t can be as follows: t = 16384, y = a (0.9998(16384)) = 16380(a).
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Eight friends started a business. They
will wear either a baseball cap or a shirt
imprinted with their logo while working.
They want to spend exactly $36 on the
shirts and caps. Shirts cost $6 each and Caps cost $3 each
The number of caps they can buy is 2 and the number of shirts they can buy is 6.
How many of each item should they buy?The system of equations that can be used to represent this question is:
6s + 3c = 36 equation 1
s + c = 8 equation 2
Where:
s = number of shirtsc = number of capsIn order to determine the required values, take these steps:
Multiply equation 2 by 6
6s + 6c = 42 equation 3
Subtract equation 1 from equation 3
3c = 6
c = 6/3
c = 2
Substitute for c in equation 2:
s + 2 = 8
s = 8 - 2
s = 6
Here is the complete question:
Eight friends started a business. They will wear either a baseball cap or a shirt imprinted with their logo while working. They want to spend exactly $36 on the shirts and caps. Shirts cost $6 each and Caps cost $3 each. How many of each item can they afford?
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Question 3 Solve this system of equations without graphing: Select Choice ✓ (5x + 2y = 29 5x - 2y = 41
The solution to the system of equations is x = 7 and y = -3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
5x + 2y = 29
5x - 2y = 41
Add both equations
So, we have
10x = 70
Divide the equation by 10
So, we have
x = 7
Substitute x = 7 in 5x - 2y = 41
5 x 7 - 2y = 41
This gives
35 - 2y - 41
Evaluate
2y = -6
Divide by 2
y = -3
Hence, the solution to the system of equations is x = 7 and y = -3
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Use the following information to fill in the blanks. On earth, there are about 1 quadrillion ants and about 8 billion people
The number of ants that are more than people will be 9800000.
How to illustrate the information?It should be noted that based on the information, it was stated that on earth, there are about 1 quadrillion ants and about 8 billion people.
Therefore, the difference between the values illustrated will be:
= 1 quadrillion - 8 billion
= 1 × 10^15 - 8 × 10^9.
= 9.2 × 10^5
Therefore, the number of ants that are more than people will be 9800000
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Use the following information to fill in the blanks. On earth, there are about 1 quadrillion ants and about 8 billion people.
On Earth, there are about ...... more ants than people.
What is each expression written as a single natural logarithm?
(a) ln 7+2 ln 5
According to the question, the given expression is a single natural logarithm and the expression is as follows:
Expression: [tex]ln7+2ln5[/tex]
Using logarithmic formulas, the above expression can be written as:
Expression: [tex]ln7+2ln5 = ln7+ln5^{2} =ln7+ln25[/tex]
Using multiplication logarithmic formula that is [tex]log(ab)=log(a)+log(b)[/tex]
Now the above expression can be written as:
Expression: [tex]ln7+ln25 = ln(7X25) = ln(175)[/tex]
The solution for the given expression is: [tex]ln(175)[/tex].
What is logarithmic function?
In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.
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Evaluate the expression. 2 – 9 ÷ 3
Answer:
-1
Step-by-step explanation:
2 – (9 ÷ 3)
divide 9 and 3
2 - 3
subtract 2 from 3 and you get
-1
Answer:
-1
Step-by-step explanation:
Its just the answer.
suppose we have collected the weights of 100 main subjects as a part of a nutrition study. for your weight data we have values ranging from a low of 121 pounds to a high of 263 pounds determine reasonable class intervals for a frequency table
The reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .
What is frequency in a table?
Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.
Given:
The weights of 100 main subjects as a part of a nutrition study.
The values ranging from a low of 121 pounds to a high of 263 pounds.
According to given question we have
Total span =263 pounds- 121 pounds
=142 pounds
Interval frequency
120-134 4
135-149 14
150-164 16
165-179 28
180-194 17
195-209 8
210-224 7
225-239 6
240-254 2
255-269 3
Therefore, the reasonable class intervals for a frequency table in between 120-269 with 14 class interval in between is shown .
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Solve each equation. Check for extraneous solutions.√x+6 +2=x+6
The solution for the equation √x + 6 + 2 = x + 6 is 4.
An extraneous solution is one that results from the process of addressing the problem but is not a legitimate solution to the problem, such as the answer to an equation.
A formula known as an equation uses the equals sign (=) to express how two expressions are equal.
Consider the equation,
√x + 6 + 2 = x + 6
Subtracting 6 from each side of the equation.
√x + 6 + 2 - 6 = x + 6 - 6
√x + 2 = x
Subtracting 2 from each side.
√x + 2 - 2 = x - 2
√x = x - 2
Squaring the above equation.
( √x )² = ( x - 2 )²
x = x² - 4x + 4
x² - 5x + 4 = 0
x² - x - 4x + 4 = 0
x( x - 1 ) - 4( x - 1 ) = 0
( x - 1 )( x - 4) = 0
x = 1, 4
Checking for extraneous solutions,
x = 1
√x + 6 + 2 = x + 6
√1 + 6 + 2 = 1 + 6
9 ≠ 7
Hence, x = 1 is not a solution.
For, x = 4
√x + 6 + 2 = x + 6
√4 + 6 + 2 = 4 + 6
2 + 6 + 2 = 4 + 6
10 = 10
The solution of equation √x + 6 + 2 = x + 6 is x = 4.
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