Answers
Answer:
-48
Step-by-step explanation:
Take two points such as (3.-27) and (5.-41).
Find the slope from the points using the formula
\(\frac{y_2-y_1}{x_2-x_1}\) . The setup should look like \(\frac{-41-(-27)}{5-3}\) = -7.
Therefore, our slope is -7.
Now we can use point slope form to find an equation.
\(y-y_1=m(x-x_1)\).
Substituting the point (3,-27) in, we get \(y-(-27)=-7(x-3)\).
This equation simplifies to \(y=-7x-6\).
Now that we have an equation for our table, we can insert 6 into our equation.
\(y=-7(6)-6=-48\)
∴ When \(x=6, y =-48\)
Related Questions
Steven is building a rectangular wooden frame for his mattress. If the mattress is 7 feet long by 6 feet wide, what is the
perimeter of the mattress?
OA. 42 feet
OB. 13 feet
OC. 21 feet
OD. 26 feet
Answers
Answer:
C| 21 feet is your answer .
Step-by-step explanation:
7×3=21 3×7=21
This figure represents the net of a square pyramid.
2 m
76
6 m
2 m
Answers
The total surface area of the square pyramid is 28 m²
What is an equation?An equation is an expression that is used to show how numbers and variables are related using mathematical operators
Given the square pyramid net:
Area of square base = 2 m * 2 m = 4 m²
Area of each triangle face = (1/2) * 2 m * 6 m = 6 m²
Area of the four triangle face = 4 * 6 m² = 24 m²
Total surface area = 24 m² + 4 m² = 28 m²
The total surface area is 28 m²
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For which value of x is this equation true?10 + x ÷ 3 = 12
Answers
Answer:
Hi
please mark brainliest ❣️
Thanks
Step-by-step explanation:
10 + x / 3 = 12
Cross multiply
10 + x = 12× 3
10 + x = 36
Collect like terms
x= 36 - 10
x = 26
Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answers
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.
Which fraction is not equivalent to 5/6 ?
Answers
Answer:
3/4
Step-by-step explanation:
Answer:
4/6
Step-by-step explanation:
Which is the correct answer choice?
Answers
Answer:
second one I think is best for you to do
Answer: Plain coffee
Step-by-step explanation:
The two branches (2 and 3) divide into the two drinks of the sale. Since espresso is already in the diagram and coffee is not, and coffee is independent from espresso, coffee is found in box 1.
f(g(x)) g(f(x)) ANSWER QUESTION BELOW BRIEF RESPONSE
Answers
Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).
"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).
The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.
To provide a brief response:
For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).
For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).
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An extremely large sink hole has opened up in a field just outside of the city limits. It is difficult to measure across the sink hole without falling in so you use congruent triangles. You have one piece of rope that is 50 ft. long and another that is 70 ft. long. You pick a point A on one side of the sink hole and B on the other side. You tie a rope to each spot and pull the rope out diagonally back away from the sink hole so that the other ends of the two ropes meet at point C. Then you recreate the same triangle by using the distance from AC and BC and creating new segments CE and CD. The distance DE is 52.2 ft.
a. What type of triangles have you created?
b. How do you know the triangles are congruent?
c. How far across is the sink hole?
d. What is the perimeter of the triangle ABC?
Answers
A) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
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Answer:
Step-by-step expA) The type of triangles are congruent triangles
B) By the use of SAS Congruency Postulate
C) The distance across for the sink hole is: 52.2 ft
D) The perimeter of triangle ABC is: 172.2 feet.
How to solve congruent triangles?
A) Congruent triangles are defined as the triangles created because of the phrasing "you recreate the same triangle" mentioned in the instructions. Congruent triangles are basically identical carbon copies of each other.
B) If we knew the measure of angle ACB, and then mad use of it to form angle ECD, then we would have enough information to know that triangle ACB was congruent to triangle ECD. Therefore, it would be useful to do the SAS (side angle side) congruence rule.
C) We know that:
AB = ED = 52.2
AB is the distance across the sink hole. Thus, it is 52.2 feet
D) AB = 52.2
BC = 70
AC = 50
Thus:
Perimeter of triangle ABC = AB + BC + AC
Perimeter of triangle ABC = 52.2 + 70 + 50
Perimeter of triangle ABC = 122.2 + 50
Perimeter of triangle ABC = 172.2
The perimeter of triangle ABC is 172.2 feet.
lanation:
Point A is tocated at -4/6 and point B is located at -1/6 what is the distance between point a and B
Answers
Answer:
1/2
Step-by-step explanation:
The answer is equal to |4/6|-|1/6|=3/6=1/2
Someone please hurry and help with the two I got wrong!!!!!!
Answers
Answer:
1. Slope of -2
2. 35
Step-by-step explanation:
To find a slope you must find two points on a line that are DIRECTLY on the lines of the graph. There are two points already chosen. The points are (0,4) and (2,0)
Now find the differences of the x and y values.
2 - 0 = 2
4 - 0 = 4
The difference of the x values is 2 and y is 4
Now put it in a fraction. The rule for slopes is rise over run or y/x.
4/2
Don’t forget to simplify!
Slope of 2
Now one must find if the slope is negative or positive.
To figure this out look at the line. If the line is going up, it’s positive. If it’s going down, it’s negative.
This line is going down so it’s slope is negative.
So the line has a slope of -2
F(x) and F(8) means that x is equal to 8.
So replace the x in the equation with 8 and then solve it.
First, exponents!
8^2 = 8 x 8 = 64
Now:
64 + 6/2
Now add:
70/2
70/2 = 35
Therefore, it’s 35!
There are 13 students in a class: 8 are wearing all blue and 5 are wearing all green. The teacher assigns seats at random. How many distinguishable seating arrangements are possible if students are only distinguishable by the color they are wearing?
Answers
Using the arrangements formula, the number of distinct seating arrangements is:
1287.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of the number n, that is:
\(A_n = n!\)
When elements are divided and classified with repetition, the number of arrangements is given as follows:
\(A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n}\)
In the context of this problem, the parameters are given as follows:
n = 13, as there are 13 students in the class.\(n_1 = 8\), as 8 of the students are wearing all blue.\(n_2 = 5\), as 5 of the students are wearing all red.Hence the number of distinct seating arrangements is calculated as follows:
\(A_{13}^{8,5} = \frac{13!}{5!8!} = 1287\)
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Help ME!!! This Homework is Confusing Me
Answers
Answer:
I think it is d or a. I might be wrong sorry
Step-by-step explanation:
f(x)=(x−3)^2+5 in Standard form
Answers
Answer:
Step-by-step explanation:
hello
\(f(x)=(x-3)^2+5=x^2-6x+9+5=x^2-6x+14\)
hope this helps
NEEDED TODAY THANK YOU
Answers
Step by step
First I will find the total area
A = L x W
A = 11 x 7
A = 77
Now to find the area of the missing space and subtract that from the total area of 77
L = 11 - 4 - 2 = 5
W = 7 - 3 = 4
A = 5 x 4
A = 20 area of cut out missing space
77 - 20 = 57 units squared
Which expression is equivalent to 6/4
Answers
Just a generic answer would by 12/8 or any other multiple of the numbers. If that is a fraction than same goes as above.
The following table gives annual life insurance premiums per $1,000 of face value. Use the table to determine the annual premium for a $75,000 10-year term policy for a 25-year-old male. Round your answer to the nearest cent. A 5-column table with 6 rows titled Term Insurance. Column 1 is labeled Age with entries 20, 21, 22, 23, 24, 25. Column 2 is labeled 5-year term male with entries 2 dollars and 43 cents, 2.49, 2.55, 2.62, 2.69, 2.77. Column 3 is labeled 5-year term female with entries 2.07, 2.15, 2.22, 2.30, 2.37, 2.45. Column 4 is labeled 10-year term male with entries 4.49, 4.57, 4.64, 4.70, 4.79, 4.85. Column 5 is labeled 10-year term female with entries 4.20, 4.36, 4.42, 4.47, 4.51. a. $363.75 c. $183.75 b. $207.75 d. $338.25
Answers
The answer is $359.25, which is closest to option A: $363.75.
What is multiplication?Calculating the sum of two or more numbers is the procedure of multiplication. 'A' multiplied by 'B' is how you express the multiplication of two numbers, let's say 'a' and 'b'. Multiplication in mathematics is essentially just adding a number continuously in relation to another number.
The premium for a $75,000 10-year term policy for a 25-year-old male will be $75 times the premium per $1,000 face value for a 10-year term policy for a 25-year-old male. From the table, the premium per $1,000 face value for a 10-year term policy for a 25-year-old male is $4.79. Therefore, the annual premium for a $75,000 10-year term policy for a 25-year-old male will be:
$75 × $4.79 = $359.25
Rounding to the nearest cent, the answer is $359.25, which is closest to option A: $363.75. Therefore, the answer is (a) $363.75.
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A student makes a number of measurements of electrical current in the circuit. The average of the measurements is 12.33 mA. The standard deviation of the sample is 0.14 mA. How should this measurement be written to the correct number of significant figures with error range to show a 95% confidence
Answers
Answer:
The way to represent this it is
\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)
Step-by-step explanation:
From the question we are told that
The sample mean is
The standard deviation is
Given that the confidence level is 95% then the level of significance is mathematically represented as
\(\alpha = (100-95)\)
\(\alpha = 0.05\)
The critical value for \(\frac{\alpha }{2}\) is obtained from the normal distribution table that value is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Now the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }\)
\(E = \frac{0.27}{\sqrt{n} }\)
Now the error range to show a 95% confidence is mathematically represented as
\(\= x - E < \mu < \= x + E\)
\( 12.33 - \frac{0.27}{\sqrt{n} } < \mu < 12.33 + \frac{0.27}{\sqrt{n} } \)
Here notice that the significant figure is keep to three to match the significant figure of the given values
He buys atoy car for 150 the sells it for $120find his percentage loss
Answers
Answer: 80%
Step-by-step explanation:
divide 120 by 150 and you get .8 then you move the decimal over 2
Lightfoot Inc., a software development firm, has stock outstanding as follows: 20,000 shares of cumulative preferred 2% stock, $20 par, and 25,000 shares of $100 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $3,000; second year, $5,000; third year, $34,500; fourth year, $71,000.
Answers
The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.
To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.
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What is the solution to the system of linear equations graphed below?
Answers
Answer:
Step-by-step explanation:
The solution is the point where the lines intersect! (3.5,-4)
A clothing designer is selecting models to walk the runway for her fashion show.
The designer prefers models that are no more than 3 inches away from being 5'10".
Since 5'10" is the same as 70 inches, write an inequality - in terms of inches - that
could be used to determine if a model's height is within the designer's preferred height
range.
Answers
Using proportions, the inequality that could be used to determine if a model's height is within the designer's preferred height range is of:
67 inches ≤ Height ≤ 73 inches.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication and division, from the unit rates in the context of the problem.
One example of application of proportions is for conversion of units, as there are rates for each unit.
In the context of this problem, the rate used is:
1 feet = 12 inches.
Hence the measure of 5'10" = 5 feet and 10 inches is given by:
5 x 12 + 10 = 60 + 10 = 70 inches.
The heights that are within 3 inches of 70 inches are given by:
70 - 3 = 67 inches.70 + 3 = 73 inches.Hence the inequality that models the situation is:
67 inches ≤ Height ≤ 73 inches.
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Can someone please help me with this
Answers
48x14=672
Answer:
I'm not sure but...
Step-by-step explanation:
If I were you I would divide 48 by 14. And see how that leads out...I'm sorry if that will not help you...
i need some help here plz
Answers
Answer:
I don't know if this is correct but id say
\(5500 \times \frac{2}{100} = 55 \times 2 = 110 \)
Step-by-step explanation:
the interest is 2 % so you'd say 2/100 times the amount of money in the interest so that is 2% of 5500
the interest is 110
6 to the negative 3rd power times 6 to the 2nd power times 6 to the 5th power times 6
Answers
The value of 6 to the negative 3rd power times 6 to the 2nd power times 6 to the 5th power times 6 is 6^5.
What is an exponent?The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.
Based on the information given, the numbers will be expressed as:
6^-3 × 6^2 × 6^5 × 6
= 6^5
It's important to note that they've the same base. Therefore, the powers will be added thus:
= -3 + 2 + 5 + 1
= 5
This gives 6^5. This illustrates the concept of exponents.
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find the slope of the line that passes through these two points (-3,4) (2, -1) slope= __
Answers
Let's begin by listing out the information given to us:
\(\begin{gathered} m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(-3,4) \\ (x_2,y_2)=(2,-1) \\ m=\frac{-1-4}{2-(-3)}=\frac{-5}{2+3}=\frac{-5}{5} \\ m=-1 \end{gathered}\)The slope equals -1
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answers
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
Which simplified fraction is equal to 0.53?
Answers
Answer:
53/100
Step-by-step explanation:
0.53 = 53/100
Since "3" is in the hundredths place, that is going to be the denominator.
The fraction cannot be simplified any further.
Best of Luck!
Help pleaseeeeeeeeeeeee
Answers
Answer:
option first is the right answer
can anyone help me? :)
Answers
Answer:
7\11
Step-by-step explanation:
you just multiply to get an integer then convert that
Use numerals instead of words.
What value of x satisfies this equation?
log(2x) = 2
The value of Xis
Answers
Answer:
x = 50
Step-by-step explanation:
\( log_{10}(2x) = 2\)
Use the following property.
\( log_{a}(m) = n \\ {a}^{n} = m\)
\( {10}^{2} = 2x \\ 100 = 2x \\ \frac{100}{2} = x \\ 50 = x\)
Therefore, the value of x is 50.
Answer Check
Substitute x = 50 in the equation.
\( log_{10}(2x) = 2 \\ log_{10}(2(50)) = 2 \\ log_{10}(100) = 2 \\ {10}^{2} = 100 \\ 100 = 100\)
The equation is true. Therefore x = 50.
Note
If you don't write logarithm with base, it is classified as common logarithm or base 10.