Answer:
8 and 1
Step-by-step explanation:
Any equation which can be expressed in terms of a,b, c and so on is algebraic expression.
The term a, b , c ...are variables. They are called so be cause their value can change based on change in condition.
Coefficient are the number with which a variable is multiplied with.
Example
10a+ 20b+c+7d+ 10 is algebraic expression.
The terms which is free of any variable is called constant as its value remains fixed.
In above expression 10 is constant term.
Here term a, b,d are multiplied with 10, 20, and 7 respectively. Thus, these terms are coefficient .
If any term does not explicit coefficient then its coefficient is taken as 1.
This can be explained,
as in above example c does not have any explicit coefficient attached with it
"c" can be also expressed as 1*c as multiplication with does alter the value of variable.
__________________________________
Now in the prblem given
expression: 8a + b + 9
Variable are a , b
constant term is 9
8 is multiplied with variable a. so, 8 is coefficient of a.
b does not have any coefficient thus b coefficient can be taken as 1
as 1*b is equal to b.
Thus, coefficient in expression 8a + b + 9 is 8 and 1.
The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.
Coefficients in the expression:A coefficient should be integer i..e written along with a variable or it should be multiplied by the variable. In other terms, a coefficient should be considered as the numerical factor of a term that comprise of constant and variables.
So based on this, we can conclude that The coefficients in the expression i.e. 8a + b + 9 should be 8 and 1.
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3y + 6 = 18y
- What does the ( y ) variable stand for and how exactly do you find it?
Answer:
y=2/5 or 0.4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
3y + 6 = 18y -->
subtract 3y from both sides to get rid of it.
6 = 15y -->
isolate the variable by dividing it by 15.
6/15 = 15y/15 -->
simplify.
2/5 = y
helpp me nowwwwwww dew Help Marshmello i wasn't born yesterday. xd
Answer: A) DE = 24 yd and EF = 10 yd
Step-by-step explanation:
Shape EFD is just a dilate of 2, meaning BCA x 2.
13 x 2 = 26
12 x 2 = 24
5 x 2 = 10
Therefore, DE = 24 yd and EF = 10 yd
I hope this helps!
Answer:
DE = 24, EF = 10
Step-by-step explanation:
We can use ratios to solve
13 ft 12 ft
---------- = -----------
26 ft x ft
Using cross products
13x = 12*26
Divide each side by 13
13x/13 = 12*26/13
x = 24
13 ft 5 ft
---------- = -----------
26 ft y ft
Using cross products
13y = 5*26
Divide each side by 13
13y/13 = 5*26/13
y = 10
plzzzzzzzz i need help
Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x < 100. Explain what this statement means, in words, and what each part of the inequality represents.
Answer:
Okay well the 3.4 yard pieces are the constant in which Michael will be cuttings that number stays the same an will not change. The (X) represents the unknown number of how many times the ribbon will be cut. As the whole inequality states the unknown number of pieces that are 3.4 yards long are less than 100 yards.
Answer:
The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.
Which expression is equivalent to (3b + 2r)+(4b + r)
Answer:
7 b + 3 r
Step-by-step explanation:
I need help!!! And fast!!!!
write an equation in point-slope form for the line that has a slope of 15 and contains the point (2,−9).
Answer:
y +9 = 15(x -2)
Step-by-step explanation:
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . for slope m and point (h, k)
Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...
y +9 = 15(x -2)
the circumference of a circle is 107.81 yards. Find the diameter of the circle to the nearest tenth
Answer:
68
Step-by-step explanation:
Divide the circumference by pi, approximately 3.14, to calculate the diameter of the circle. For example, if the circumference equals 56.52 inches, divide 56.52 by 3.14 to get a diameter of 18 inches. Multiply the radius by 2 to find the diameter.
Answer:
the answer is attached to the picture
(60 POINTS) The figure is transformed as shown in the diagram. Describe the transformation.
A) dilation, then reflection
B) reflection, then rotation
C) rotation, then translation
D) translation, then reflection
Answer:
The solution is rotation, then translation. The figure has been rotated about the origin by 90° and then translated 6 units to the right.
list down all the prime numbers which are factors of 30
Hey!!
Here's your answer:
prime numbers which are factors of 30 are:
1,2,3 and 5
Hope it helps
Answer:
1, 2, 3, 5
sorry for the confusion i didn't read it correctly
Find the real solution(s) of the equation. Round your answer to two decimal places when appropriate. 5x^6=30
Answer:
The real solutions are
[tex]x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]
Step-by-step explanation:
The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.
To find the real solutions of the equation [tex]5x^6=30[/tex]:
[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]
Of the 34 cars in the parking lot, 12 are blue, 8 are red, 4are white, and 10 are silver. In simplest form, what are the odds in favor that the next car that leaves the lot will be red or white
Answer:
0.3529411765
Step-by-step explanation:
add red and white and divide it by the total
Calculate CDEFtrapezium
｡☆✼★ ━━━━━━━━━━━━━━ ☾
You need to find the length of A F and BC first
Lets call BC --> 'x'
Lets form an equation
9 + 9 + x + x = 28
18 + 2x = 28
- 18
2x = 10
/ 2
x = 5
So now we have the length BC
We can subtract this length from the 11cm to find the vertical height of the trapezium
11 - 5 = 6
Now we have all we need to work it out.
area = (a + b) / 2 x h
area = (5 + 9) / 2 x 6
area = 42 cm^2
Have A Nice Day ❤
Stay Brainly! ヅ
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Answer:
42 cm²
Step-by-step explanation:
We can see this shape is made of 2 shapes that we are familiar with which are a rectangle and a trapezium.
⇒ The first step in working out the area of the trapezium is working out the length of CB and then working out the height of trapezium. We are given that the perimeter of the rectangle is 28 cm and we know that opposite sides of a rectangle are equal so we will call the length we want to work out x
→ x + x + 9 + 9 = 28
⇒ Simplify
→ 2x + 18 = 28
⇒ Minus 18 from both sides to isolate 2x
→ 2x = 10
⇒ Divide both sides by 5 to isolate x
→ x = 5
5 cm is the length of CB, we will need to minus that from 11 to find the height of the trapezium so,
11 - 5 = 6. The height of the trapezium is 6
Now we have the height of the trapezium (6), we have the base (9) and we have the top length (5). All we do now is substitute these numbers into the trapezium formula which is
→ 0.5 × ( a + b ) × h
Where 'a' and 'b' are the parallel sides and 'h' is the height
Now we begin to substitute in the values,
→ 0.5 × ( a + b ) × h
⇒ Substitute in the values
→ 0.5 × ( 5 + 9 ) × 6
⇒ Simplify
→ 0.5 × ( 14 ) × 6
⇒ Simplify further
→ 42
The area of the trapezium is 42 cm²
division concepts
how many times can 9 go into .7632 ?
Answer:
None! .7632 is smaller than 9.
Step-by-step explanation:
Enter the solution (x, y) to the system of equations shown. y=2x+1 3y=4x+7
Answer:
Step-by-step explanation:
3(2x + 1) = 4x + 7
6x + 3 = 4x + 7
2x = 4
x = 2
y = 2(2) + 1
y = 4 + 1
y = 5
(2,5)
Answer:
2,5
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
B. 5x^2 -4
Step-by-step explanation:
(f+g)(x) = f(x) + g(x)
= (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)
= x^2(4 +1) +(1 -5) . . . . . . . . collect terms
(f+g)(x) = 5x^2 -4
What’s the correct answer for this?
Answer:
D = 23.4 units
Step-by-step explanation:
In the attached file
How do you make a decimal into a fraction?
Answer:
Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
Step 3: Simplify (or reduce) the fraction.
Carl earned grades of 62, 78, 59, and 89 on four math tests.
What is the mean of his grades?
A. 68.5
B. 70
C. 72
D. 74
E. 75.5
Answer:
Mean, m = 72
Step-by-step explanation:
It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.
It is required to find the mean of his grades.
Mean of a data is given by :
[tex]m=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]
Sum of observations is 62 + 78 + 59 + 89 = 288
Total no of observations are 4
So, mean of his grades is :
[tex]m=\dfrac{288}{4}\\\\m=72[/tex]
So, the mean of his grades is 72.
Option C is correct. If Carl earned grades of 62, 78, 59, and 89 on four math tests, the mean of his grades is 72
Mean is the average of the given data. It is expressed mathematically as:
[tex]\overlibe x=\frac{\sum x}{N}[/tex]
[tex]\sum x[/tex] is the sum of the variables
N is the total test taken
[tex]\sum x = 62 + 78 + 59 + 89\\\sum x = 288\\\\N = 4[/tex]
Substitute the resulting values into the mean formula:
[tex]\overline x = \frac{288}{4}\\ \overline x =72[/tex]
This shows that the mean of his grades is 72
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What is the length of Line segment A C? Round to the nearest tenth.
Answer:
wheres the info
Step-by-step explanation:
Answer:
A: 10.5 m
Step-by-step explanation:
i think it's A, i may be wrong! hope this helps!!~
Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15
Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.
[tex]a_{n+1} = ra_{n}[/tex]
In which r is the common ratio.
This can be expanded for the nth term in the following way:
[tex]a_{n} = a_{1}r^{n-1}[/tex]
In which [tex]a_{1}[/tex] is the first term.
Or even:
[tex]a_{n} = a_{m}r^{n-m}[/tex]
The sum of the first n terms of a geometric sequence is given by:
[tex]S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}[/tex]
Finding the common ratio:
[tex]a_{3} = 3.645, a_{8} = 15[/tex]
[tex]a_{n} = a_{m}r^{n-m}[/tex]
[tex]a_{8} = a_{3}r^{8-3}[/tex]
[tex]a_{3}r^{5} = a_{8}[/tex]
[tex]3.645r^{5} = 15[/tex]
[tex]r^{5} = \frac{15}{3.645}[/tex]
[tex]r = \sqrt[5]{\frac{15}{3.645}}[/tex]
[tex]r = 1.327[/tex]
Finding the first term:
[tex]a_{3} = a_{1}r^{2}[/tex]
[tex]a_{1} = \frac{a_{3}}{r^{2}}[/tex]
[tex]a_{1} = \frac{3.645}{(1.327)^{2}}[/tex]
[tex]a_{1} = 2.07[/tex]
Sum of the first nine terms:
[tex]S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44[/tex]
The sum of the first nine terms of the sequence is 74.44.
Answer:
S₉ = 9.84
Step-by-step explanation:
In a geometric series, the general formula for nth term is:
an = a₁rⁿ⁻¹
where,
an = nth term
a₁ = first term
r = common ratio
From this formula, we have:
a₃ = a₁r² = 3.645 --------- equation (1)
a₈ = a₁r⁷ = 15 ----------- equation (2)
dividing both of these equations, we get:
a₁r⁷/a₁r² = 15/3.645
r⁵ = 4.115
r = (4.115)^1/5
r = 1.33
Now, put this value in equation (1), we get:
a₁(1.33)² = 3.645
a₁ = 0.27
Now, the formula for the sum of geometric series upto nth term is:
Sn = a₁(rⁿ - 1)/(r - 1)
therefore,
S₉ = (0.27)(1.33⁹ - 1)/(1.33 - 1)
S₉ = 9.84
Which geometric series converges?
CO
Σ(-3) 2-1
Η =1
O
Σ5-1) 2-1
CO
Ο Σ4(-02 - 1
H=1
CO
Σ06(-2) 2-1
h=1
Answer:
its C
Step-by-step explanation:
i just did it on edge and plus its really not cool to post answers when you dont actually know the answer bc people that actually want to help cant bc there only two answers allowed per question. so please dont answer if your not trying to help.
The geometric series [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex] converges to zero.
What is convergent and divergent geometric series?A mathematical term denoting an endless series of the form
a + ar + ar² + ar³ + ⋯, where r is referred to as the common ratio. The geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, is a straightforward example.
A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit.
In contrast, a divergent series is one whose partial sums do not reach a limit. The Divergent series usually approaches infinity.
From the given options let us try with [tex]\sum_{n=1}^{\infty} 5(-1)^{n-1}[/tex].
[tex]= 5\sum_{n=1}^{\infty} (-1)^{n-1}.[/tex]
[tex]= 5\sum_{n=1}^{\infty} (-1)^{n}.\frac{1}{-1}[/tex].
[tex]= -5\sum_{n=1}^{\infty} (-1)^{n}.[/tex]
= - 5[- 1 + 1 - 1 + 1 ...+ 1].
= - 5[0].
= 0.
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Instructions : integrate the following
You can simplify the integrand:
[tex]\dfrac{3x^2+4x+1}{2x}=\dfrac{3x}2+2+\dfrac1{2x}[/tex]
Then integrate term-by-term:
[tex]\displaystyle\int\frac{3x^2+4x+1}{2x}\,\mathrm dx=\frac32\int x\,\mathrm dx+2\int\mathrm dx+\frac12\int\frac{\mathrm dx}x[/tex]
[tex]=\dfrac{3x^2}4+2x+\dfrac12\ln|x|+C[/tex]
16x^4-25 Which pattern can we use to factor the expression?
Step-by-step explanation:
Hope this helps you... Lemme know if you don't understand
What’s is the percentage difference between 26 and 14
the percent difference is 60%
I really need help with this
Answer:
A (-4, 1)B (2, 5)Step-by-step explanation:
The current endpoints are ...
V = (-9, 2)
W = (-3, 6)
Put each of these in the translation formula to see where the image points are.
(x, y) ⇒ (x+5, y-1)
(-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'
(-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'
The new end points are (-4, 1) and (2, 5), matching choices A and B.
Which statement is true regarding the graphed functions? On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 6, 0) and the y-axis at (0, 6). A straight blue line with a negative slope, labeled f of x, crosses the x-axis at (negative 0.75, 0) and the y-axis at (0, negative 2). f(4) = g(4) f(4) = g(–2) f(2) = g(–2) f(–2) = g(–2)
Answer:
none of the above
Step-by-step explanation:
The attached graph shows that none of f(-2), f(2), or f(4) matches any of g(-2) or g(4).
None of the offered statements is true.
___
Please report this problem to your teacher.
Answer:
The answer is not C
Step-by-step explanation:
I think the answer is D sooooo Pray it will be
UPDATE IT IS D
HOPE THIS HELP STAY SAFE
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation
2000007 350 represents the situation, where t is the number of years the money has been invested. About how long has the
money been invested? Use a calculator and round your answer to the nearest whole number
5 years
7 years
19 years
22 years
Answer:
7 years
Step-by-step explanation:
We expect your equation is ...
200e^(.08t) = 350
Dividing by 200 and taking the natural log, we have ...
0.08t = ln(1.75)
t = ln(1.75)/.08 ≈ 7.0
The money has been invested 7 years.
What’s the range of 39, 41, 5, 43, 26, 7, 43, 24, 41
Answer:
38
Step-by-step explanation:
Range= highest number - lowest number
Range= 43-5
=38
Step-by-step explanation:
Step 1: Find the highest number and the lowest number
Highest Number → 43
Lowest Number → 5
Step 2: Find the range by subtract the lowest number from the highest number
Highest Number - Lowest Number
43 - 5
38
Answer: The range is 38
what is 8 - 3x > -25 because i have been wondering all day
Answer:
[tex]8 - 3x > -25 : \left[\begin{array}{ccc}solution: x < 11\\Interval Notation:(-\infty,11)\end{array}\right][/tex]
Step-by-step explanation:
[tex]8-3x>-25[/tex]
Subtract [tex]8[/tex] from both sides:
[tex]8-3x-8>-25-8[/tex]
Simplify:
[tex]-3x>-33[/tex]
Multiply both sides by [tex]-1[/tex] (reverse the inequality):
[tex]\left(-3x\right)\left(-1\right)<\left(-33\right)\left(-1\right)[/tex]
Simplify:
[tex]3x<33[/tex]
Divide both sides by [tex]3[/tex] :
[tex]\frac{3x}{3}<\frac{33}{3}[/tex]
Simplify:
[tex]x < 11[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, have a good day! =)
Which are the center and radius of the circle with equation (x + 5)2 + (y − 4)2 = 9?
A. (−5, −4); r = 3
B. (5, −4); r = 9
C. (−5, 4); r = 3
D. (5, 4); r = 9
Answer:
C)
Step-by-step explanation:
*Look at the picture*