Answer:
14
Step-by-step explanation:
use order of operations (PEMDAS: Parenthesis, exponents, multiplication, division, addition, subtraction)
5 + 4 * 2 + 6 - 2 *2-1
5+ 8 + 6 -4 -1
13+6-4-1
19-4-1
15-1
14
Find the next two terms in each sequence. Write a formula for the n th term. Identify each formula as explicit or recursive. 1,8,27,64,125, ......
The formula for finding any term of the given sequnce is [tex]a_{n}[/tex] = n^3.
According to the given question.
We have a sequence
1, 8, 27, 64, 125
As we know that, a sequence or number pattern is an ordered set of numbers or diagrams that follow a rule.
The above of given sequence 1, 8, 27, 64, 125 is following a rule i.e each term is the cube of its number of term.
Here,
The first term is 1, so the cube of 1 is 1.
The second term is 8, so the cube of 2 is 8.
So, the nth term of the given sequnce is n^3.
Therefore, the formula for finding any term of the given sequnce is given by
[tex]a_{n}[/tex] = n^3
Where, n = 1, 2, 3, 4...
So, for n = 1
The first term will be 1.
for n = 2
The second term will be 8
for n= 3
The fourth term will be 64.
Hence, the formula for finding any term of the given sequnce is [tex]a_{n}[/tex] = n^3.
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What is the slope of the line that passes through the points (1, -7) and (−2,−7)?
The slope of the line is 0 since the y-value doesn't change, meaning it is a horizontal line.
Answer:
Slope ⇒ 0
Step-by-step explanation:
The formula to find the slope of a line is:
[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]
We can use the given two coordinates of the line to find the slope.
( 1, -7 ) ⇒ ( x₁, y₁ )
( -2, -7 ) ⇒ ( x₂, y₂ )
Let us solve this now.
[tex]m = \frac{y_1-y_2}{x_1-x_2}\\\\m = \frac{-7 -(-7)}{1-(-2)}\\\\m = \frac{0}{3}\\\\m=0[/tex]
Which of the following science and engineering practices involves studying graphs directly in order to develop initial meaning?
A) Designing solutions
B) Asking questions
C) Analyzing and interpreting data
D) Planning and carrying out investigations
The science and engineering practices involves studying graphs directly in order to develop initial meaning is c) Analyzing and Interpreting data
Analyzing and interpretation provide answers to the research questions postulated in the study.
Science and engineering practices that involves studying graphs directly in order to develop initial meaning
Analysis means the ordering, manipulating and summarizing of data to obtain answers to research questions. Its purpose is to reduce data to intelligible and interpretable form so that the relations of research problem can be sudden and tested.
Interpretation gives the results of analysis, makes inferences pertinent to the research relations studied, and draws conclusions about these relations.
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Directly analyzing graphs to get initial meaning is a practice used in research and engineering. b) Data analysis and interpretation
The research questions posed in the study are answered via analysis and interpretation.
Practices in science and engineering that need direct graph analysis to provide initial meaning
Analysis is the process of arranging, modifying, and summarizing data to find solutions to research problems. Its goal is to condense data into an understandable and interpretable form so that the connections between the research problem may be quickly and accurately verified.
The interpretation presents the findings of analysis, draws conclusions about the relations under study in the research, and makes relevant inferences.
65 POINTS! 1st photo- What is the equation of the line of symmetry (or the point of symmetry) for the image?
2nd photo- List the equation(s) of the line of symmetry or the point(s) of symmetry for the image. Be sure to include all equations and/or points of symmetry.
Answer:
Image #1) x=0
Image #2) y= 4
x= 4
y= x
y= -x+8
Step-by-step explanation:
State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.
Similar solids have exactly the same shape, but not necessarily the same size.
Answer:
I pretty sure that is false. similar solids are the same shape but can be different sizes.
What’s the value of √10
Answer: 3.162
Step-by-step explanation:
Answer:
√10 should be ~3.16
SAT/ACT If 4 a+6 b=6 and -2 a+b=-7 , what is the value of a ?
A -2
B -1
C 2
D 3
E 4
According to the given data 4 a+6 b=6 and -2 a+b=-7 the value of a = 3.
What is substitution method?The algebraic method for solving simultaneous linear equations is the substitution method. The value of one variable between one equation is exchanged in the second equation, as the name implies.
According to the given information:First, we will remove bb from the second equation and then substitute it in the first equation:
b= −7 + 2a
After replacing in the first equation:
(substitute)
4a+6(−7+2a) = 6
(multiply)
4a−42+12a = 6
(combine like term)
16a = 48
(divide both side by 16)
a = 3
According to the given data 4 a+6 b=6 and -2 a+b=-7 the value of a = 3.
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Write an equation of a parabola with the given focus and directrix.
focus: (0,3) ; directrix: y=-1
Answer:
ur6eywg6wwggeueuewgv
can someone help me solve quesyion number 2? bc my tchr hasnt teach us yet and told us to use trial and error.
The equation of to represent the two unknowns y and x is undefined hence it can be said not to be existing.
What is equation of a straight line?Equation of a straight line is the equation of the form
y = mx + c
y and x are the unknown variables
m is the slope
c is the intercept in the y axis
The equation given in the problem is a special type which is a vertical line
How to write the equation of a vertical lineA vertical line has no intercept on the y axis hence c =0/ This reduces the equation of a straight line to
y = mx + c
at c = 0 we have:
y = mx + 0
y = mx
The slope of the vertical line is undefined. From first principles we have that slope is
m = change in y / change in x
for a line to be vertical the change in x is at the lowest absolute value and the smallest absolute number is zero. note negative number is not inclusive.
Therefore the slope at change in x = 0 represents a vertical line which is
m = change in y / change in x
m = change in y / 0
m = undefined
so y = undefined
check using calculator any number divided by zero gives error which is defined mathematically to be undefined,
We can conclude that the relationship between y and x from the graph is undefined.
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How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW
Answer:
How should this model be completed to represent 820 ÷ 17? Enter your answers by filling in the boxes. I'm in 5the BTW
what does SAS stand for? what does it have to do with similar triangles?
Answer: SAS stands for side angle side and it means triangles are congruent by having the same side, angle, and side
Explanation: Let's say, two triangles both have the same angle, say 90 degrees. They also share two side lengths. Both triangles have a side length of 9 and another side length of 8.
The two triangles, sharing all these properties, must be congruent. This congruency is proven by SAS.
However, you must not get confused with other ways to prove congruency like ASA (Angle-Side-Angle)
find the final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously using the formula [tex]A= Pe^{rt}[/tex]
The final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is $10,942
What is compound interest ?
A compound interest rate is a rate of interest calculated on both the amount saved and the interest earned on it.
In the given question the expression to calculate amount is given as :
A = Pe^(rt)
where,
P = principle amount that is $10,000
r = rate of interest that is 3%
t = time period that is 3 years
Now, calculating Amount by substituting the above value in the formulae :
A = Pe^(rt)
A = 10000 e^(0.03 x 3)
A = 10000 e^(0.09)
A = 10000 x 1.0942
A = $10,942
Therefore, the final amount when $10,000 is invested for 3 years at 3% the interest is compounded continuously is $10,942
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pls helpppp its nearly due and i need a solution AND a answer x
Answer:
Step-by-step explanation:
If ab is 4 times bc;
then ab= 4bc
ac= 5bc=75
bc= 75/5 = 15 cm
ab= (4*bc)
= 4 * 15 = 60
Use an explicit formula to find the 10 th term of each geometric sequence. 5,10,20,40, . . .
10th term of the geometric sequence = 2560
The explicit formula for the geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
Where
r = common ratio
a = first number of the series
n = number of terms in the series
Common ratio (r) = 10/5 = 20/10 = 2
Here we have to find the 10th term of the series
[tex]a_{10}[/tex] = 5× [tex]2^{10-1}[/tex]
= 5×[tex]2^{9}[/tex]
= 5 × 512
= 2560
So the 10the term geometric series is 2560.
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[2+2*(-2)+3]^2
what are the steps to solve?
Answer:
Step-by-step explanation:
So we do it this way.
[2+2 x(-2)+3]^2
2x-2 =-4
Multiplication comes first
Then we do addition
(negatives last)
2+3+(-4) = 1
1^2=1
Hope this helps!^^
4 1-2 ft long and 45 in long which one is shorter
45 inch is shorter in length.
Feet is a unit of measuring length as per the US standard system of measurement and centimeters is the unit of length measurement as per the metric system. Feet is abbreviated as 'ft'.
Inches is another measurement of length . It is a unit used for measuring length, approximately equal to 2.54 centimetres, sometimes shown by the symbol ″
1 feet = 12 inches which means feet is a bigger unit than inch.
So 4 feet 1/2 inch = 54 inches
54 inches is greater than 45 inches,
45 inches is shorter.
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383,72728,3536,627,2772,636,773,739,629,452,103,648,193,373,382,556,34,7685,834,55,948,3597,527,548,65,86,589,2468,963,469,1457,73,56,986,688,45,. find the mean of the given data
Answer: Average x = 2991.75
Step-by-step explanation: The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 107703 / 36
= 2991.75
ANSWER QUICKLY
only if its correct tho, or else i report xx <3
Answer:
D. -0.48
Step-by-step explanation:
A. -0.56
B. -0.056
C. -0.5 (-0.50)
D. -0.48
-0.48 is the largest number because it is the closest number to 0
Answer:
-0.056
Step-by-step explanation:
All work is shown in the screenshot that I have attached to this answer! :)
what is the slope of a line parallel to line 9x+3y=2
please help :
the population of halifax is about. time as big as the population of balnamore
The population of Halifax is about 1000 times as greater as the population of Balnamore.
What are comparing numbers?The process of defining similarities between two numbers and determining which number is greater, smaller, or equal to the other number is known as comparing numbers.
Here we will compare the numbers by using counting.
We know that a number with more digits is typically greater than one with fewer.
i) The population of Birmingham is about 10 times as big as the population of Halifax because the population of Birmingham is 9,00,000 is greater than Halifax's 90,000 by 10.
ii) The population of London is about 1000 times as big as the population of Longton. Because the population of London has three more zero digits than the population of Longton.
iii)The population of Halifax is about 1000 times as big as the population of Balnamore. Because the population of Halifax has three more zero digits than the population of Balnamore.
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Andy has 4 brothers and 2 sisters. What is
the ratio of boys to girls in his family? Please help me find the answer:)
Answer:
2:1
Step-by-step explanation:
There are 4 brothers, 2 sister so
4 (boys): 2(sister) => 2:1 (Simplified form)
A die is rolled. Find the probability of the outcome. P( greater than 1 )
The probability of getting a number greater than 1 is 5/6
What is the formula of Probability?
The probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.
Probability of event happen P(E) = Number of favourable outcomes / Total number of outcomes.
The possible outcomes when a die thrown is {1, 2, 3, 4, 5, 6}. Therefore, the number of possible outcomes of a die is 6.
Now, the numbers greater than 1 between 1 to 6 are P{2, 3, 4, 5, 6} then the number of favourable outcome is 5.
Therefore, probability P of getting a number greater than 1 is:
P = 5/6
Hence, the probability of getting a number greater than 1 is 5/6
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Solve for x: 1/3(2x − 8) = 4.
A. 2
B. 6
C. 10
D. 10/3
Answer:
C.10
Step-by-step explanation:
x=10
You can enter it into the calculator to check it.
Hope this helped! ;)
Solve each equation. Check each solution. 5x/4 - 3/x= 1/4
The solution of the equation 5x/4 - 3/x= 1/4 for x is (1+√241)/10 or (1 -√241)/10.
According to the given question.
We have an equation 5x/4 - 3/x= 1/4.
As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Therefore, the solution of the equation 5x/4 - 3/x= 1/4 for x is given by
5x/4 - 3/x= 1/4
⇒ ( 5x^2 -12) /4x = 1/4
⇒ 5x^2 - 12 = (1/4)4x (multiplying both the sides by 4x)
⇒ 5x^2 - 12 = x
⇒ 5x^2 - x -12 = 0
⇒ x = [tex]\frac{1\pm\sqrt{1+240} }{10}[/tex]
⇒ x = (1+√241)/10 or (1 -√241)/10
Hence, the solution of the equation 5x/4 - 3/x= 1/4 for x is (1+√241)/10 or (1 -√241)/10.
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Describe the effect of a dilation on the length of a line segment.
The scale factor determines whether line segment dilation is longer or shorter.
What is dilation?Dilation is a transformation that allows you to resize an object. Dilation is a technique for making objects larger or smaller. This transformation yields an image that is identical to the original shape. However, there is a size difference in the shape.The effect of dilation on the length of a line segment:
A line segment dilation is longer or shorter in the ratio given by the scale factor. If the scale factor is greater than one (k > 1), the image will be larger than the pre-image, making the image's segments (sides) longer than the pre-corresponding image's sides (an enlargement).Therefore, a line segment dilation is longer or shorter in the ratio given by the scale factor.
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HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!1
What is the slope of the line represented by the equation y = x-3?
03
-3
Brett must read 200 minutes this week if he has already read 68 minutes this week then how many minutes should he read on each of the 4 remaining days this week
one straight section of road rises from an elevation of 1070m to 1132m. the run is approximately 1.3km . what is the percent grade of the road?
The percent grade of the road will be 4.7692%.
How to calculate the percentage?It should be noted that the difference will be:
= (1132 - 1070)/1.3 ÷ 1000
= 62/(1.3 × 1000)
= 62/1300
= 31/650
= 0.047692
Therefore, the percent grade of the road will be 4.7692%.
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A transformation that shifts the graph up/down or left/right is called which one of the following?
Answer:A translation
Step-by-step explanation:
A translation
Step-by-step explanation:A shift of the graph up, down, left, or right, without changing the shape, size, or dimensions of the graph, is called a translation. Examples: If f (x) = x2 + 2x, the equation if the graph is shifted is 4 units up.