Answer:
- 320Step-by-step explanation:
a₁ = 10
a₂ = 6
d = a₂ - a₁ = 6 - 10 = -4
n = 16
a₁₆ = a₁ + (n-1)•d = 10 + (16-1)•(-4) = 10 - 60 = -50
[tex]S_{n}=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{16}=\dfrac{10-50}{2}\cdot 16=-40\cdot8=-320[/tex]
The area of a rectangle is x^2 + 4x - 5. If we factored this out, we would get the lengths and widths of the sides of the rectangle. For what value(s) of x would these side lengths not make any sense? Why?
Answer:
If X ≤ 1, these side lengths has no sense.
Step-by-step explanation:
We can factored the expression X² + 4X - 5 in a expression in the form:
(X+a) (X+b)
Where a*b = -5 and a+b = 4
That means a could be 5 and b = -1:
(X+5) (X-1)
The side lenghts of the rectangle will not have any sense if ≤ 0. With the factored expression:
(X+5) ≤ 0 ; If X ≤ -5, these side lengths has no sense.
Also:
(X-1) ≤ 0; If X ≤ 1, these side lengths has no sense.
Both expressions are resumed in:
If X ≤ 1, these side lengths has no sense.after 2 years the population of a town will be 33620 at the population growth rate of 2.5% pa find the present population of the town.
Answer:
Step-by-step explanation:
The standard form of an exponential equation is [tex]y=a(b)^x[/tex] where y is the final count of the population after some time, x, goes by; a is the initial or starting amount of people (our unknown), and b is the growth rate. For us, y is 33620, the time is x = 2 years, and the growth rate is .025; but if we are growing we are expanding on the amount that we started with, so b = 100% + 2.5% = 102.5% and in decimal form, 1.025.
[tex]33620=a(1.025)^2\\33620=1.050625a[/tex] so
a = 32000
The initial population is 32000
What is remainder when f(x) is divided by (x-a)
By the polynomial remainder theorem the remainder is equal to [tex]f(a)[/tex]
Ngoài hình tròn thì Hình nào có vô số trục đối xứng
Answer:
Step-by-step explanation:
what
Answer:
that language is this
Step-by-step explanation:
You are constructing a copy of . You choose a point, C, as one of the endpoints for the new line segment. What is the next step in the construction?
Answer: Keep the compass needle on A, and stretch the compass width to B
Step-by-step explanation: If AB is also a line segment, then the answer is: Keep the compass needle on A, and stretch the compass width to B.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
Answer:
If we have a system of linear equations:
y = a*x + b
y = c*x + d
And the graphs of the equations are the same line, this means that both lines have the same equation, then:
a = c and b = d.
Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.
Another way to see this is:
When we have a system of linear equations, the solution is the point where the lines intersect.
But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.
Help me again please
Answer:
answer C (0,-9)
Step-by-step explanation:
the line passes through (0,-9)
please solve part c.d.e and f
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Enter the values needed to find the length CB
Answer:
[tex]6b[/tex]
Step-by-step explanation:
We know that the distance formula is [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]. We already have the x values, which are [tex]5a[/tex] and [tex]-a[/tex], subtracting [tex]-a[/tex] from 5a gets us [tex]6a[/tex].
Same concept for the y values, let's subtract the first y value from the second.
The second y value is [tex]b[/tex], while the first is [tex]-5b[/tex]
[tex]b - (-5b) = b + 5b = 6b[/tex]
Hope this helped!
Answer:
6b is your answer!
Step-by-step explanation:
I wish ALL ACELLUS USERS LUCK
What is the value of x in the equation 3x-4y =65, when y = 4? i will gift brainliest
Answer:
3x-4y=65
3x=65+4y
x=(65+4y)/3, when y=4
x=(65+4*4)/3
x=(65+16)/3
x=81/3
x=27
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
Let y= 4
3x - 4(4) = 65
3x -16 = 65
Add 16 to each side
3x-16+16 = 65+16
3x = 81
Divide by 3
3x/3 =81/3
x=27
What does "The product of n and 6 is subtracted from five-sixths of b" mean
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
-7.5 and 5.4
Answer:
Step-by-step explanation:
m
Geometry, please answer question ASAP
9514 1404 393
Answer:
D. 5.4
Step-by-step explanation:
The point U divides segment SP into the ratio 1 : 2. So, segment SU is 1/2 the length of segment UP.
SU = UP/2 = 3.6/2 = 1.8
The length of PS is ...
PS = PU +US = 3.6 +1.8
PS = 5.4
__
Additional comment
If you were asked to find the value of x, you would discover x=1. That is not what you're asked here.
Choose the inequality that represents the following graph.
Answer:
it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d
3|2(2)-9|-2
need to evaluate the expression
Answer:
13
Step-by-step explanation:
3|2(2)-9|-2
First evaluate inside the absolute value
3|4-9|-2
3|-5|-2
Taking the absolute value of -5
3*5-2
Multiply
15 -2
13
Steps to solve:
3|2(2) - 9| - 2
3|4 - 9| - 2
3|-5| - 2
3(5) - 2
15 - 2
13
Best of Luck!
Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Will mark brainliest!
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
If (3,b) is a point on the graph of y = 2x+9.
b =
Answer:
Step-by-step explanation:
In the coordinate given, x = 3 and y = b. If we plug those into the given equation, we can solve for b:
y = 2x + 9 ---> b = 2(3) + 9 so
b = 6 + 9 and
b = 15
Answer:
b = 15
Step-by-step explanation:
y = 2x+9
Let x = 3 and y=b
b = 2(3)+9
b = 6+9
b = 15
A ship drops its anchor into the water and creates a circular ripple. The radius of the ripple increases at
a rate of 50 cm/s. If the origin is used as the location where the anchor was dropped into the water.
Find the equation for the circle 12 seconds after the anchor is dropped
Please write all the steps it’s for my summer school test and I need it done quick as possible thanks.
Answer:
The equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000
Step-by-step explanation:
To find the equation for the circle 12 seconds when the radius of the ripple increases at a rate of 50 cm/s, the circle radius will be;
50 * 12 = 600 cm
Then place the equation inform of Pythagoras equation which is;
x^2 + y^2 = r^2
Where r is the radius
x^2 + y^2 = 600^2
x^2 + y^2 = 360,000
Then, the equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000
Suppose the population of a country is 100 people: 40 work full-time, 20 work half-time but would prefer to work full-time, 10 are looking for a job, 10 would like to work but are so discouraged they have given up looking, 10 are not interested in working because they are full-time students, and 10 are retired. What is the number of unemployed
Answer:
10
Step-by-step explanation:
Those people who are actively seeking for a job are counted as unemployed. Underemployment is not considered as unemployment. Those who have given up looking for jobs are also not considered as unemployed as well. Hence there are 10 unemployed people.
Please help me to solve these questions as soon as possible. Thank you
Answer:
499
9
April 12 2021
Step-by-step explanation:
1 and 500 are the smallest and largest
12 is the highest common factor
Every 12 days they have an appointment together
The price of a hamburger is 3 dollars. what is the price of 90 hamburgers?
Cost of each Hamburger = $3
Cost of 90 Hamburgers = 3×90
= $270
Therefore cost of 90 hamburgers is $270
Must click thanks and mark brainliest
Find the mean of the given frequency distribution table
Answer:
Mean = 32.8
Step-by-step Explanation:
Mean is given as Mean = (Σfx)/Σf
First, find the mid-point, x, of each class, and multiply by the frequency (f) of the class to get fx:
Class ==> f ==> x ==> fx
0-10 => 3 => 5 => 15
10-20 => 8 => 15 => 120
20-30 => 10 => 25 => 250
30-40 => 15 => 35 => 525
40-50 => 7 => 45 => 315
50-60 => 4 => 55 => 220
60-70 => 3 => 65 => 195
Sum the fx of all classes together to get Σfx:
Σfx = 15 + 120 + 250 + 525 + 315 + 220 + 195 = 1,640
Σf = 3 + 8 + 10 + 15 + 7 + 4 + 3 = 50
(Σfx)/Σf = [tex] \frac{1,640}{50} [/tex]
(Σfx)/Σf = [tex] 32.8 [/tex]
Mean = 32.8
Solve for f.
-f + 2 + 4f = 8 - 3
f=
Answer:
1
Step-by-step explanation:
-f + 2 + 4f = 8 - 3
3f = 6 - 3
3f = 3
f = 1
Answer:
f=1
Step-by-step explanation:
-f+2+4f=8-3
First what you want to do i that you want to simplify as best as you can.
-f+2+4f=8-3 becomes 3f+2=8-3 because you add the 4f to the -1f.
Then, just subtract 2 from both sides to get 3f=8-5
Now, simplify even more
3f=8-5 becomes 3f=3
It should be easy now, but if you still need help, divide
f=1
Julissa is thinking about getting her Master’s degree. She will give up making $28,000 a year for the 2 years it takes to complete the program. She will also pay $34,000 in total costs to get the degree. Assuming that she will make $60,000 a year after she completes her degree, how long will it take for her to recover her investment?
Answer:
1.5 years
Step-by-step explanation:
She will give up making $28,000 per year for 2 years. This means that she will give up making $56,000 in total.
$28,000 × 2 = $56,000
She also pay $34,000 in total to costs to get her degree. She invested a total of $90,000.
$56,000 + $34,000 = $90,000
After graduating, she makes $60,000 a year. It will take her 1.5 years to recover her investment.
90,000/60,000 = 1.5
. Use the quadratic formula to solve each quadratic real equation. Round
your answers to two decimal places. If there is no real solution, say so.
a) x^2 - 5x + 11 = 0
b) -2x^2 - 7x + 15 = 0
c) 4x^2 - 44x + 121 = 0
Answer:
A. No real solution
B. 5 and -1.5
C. 5.5
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex], with a being the x² term, b being the x term, and c being the constant.
Let's solve for a.
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {5^2 - 4\cdot1\cdot11} }}{{2\cdot1}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 44} }}{{2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {-19} }}{{2}}} \end{array}[/tex]
We can't take the square root of a negative number, so A has no real solution.
Let's do B now.
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {7^2 - 4\cdot-2\cdot15} }}{{2\cdot-2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {49 + 120} }}{{-4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm \sqrt {169} }}{{-4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 7 \pm 13 }}{{-4}}} \end{array}[/tex]
[tex]\frac{7+13}{4} = 5\\\frac{7-13}{4}=-1.5[/tex]
So B has two solutions of 5 and -1.5.
Now to C!
[tex]\begin{array}{*{20}c} {\frac{{ -(-44) \pm \sqrt {-44^2 - 4\cdot4\cdot121} }}{{2\cdot4}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 44 \pm \sqrt {1936 - 1936} }}{{8}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 44 \pm 0}}{{8}}} \end{array}[/tex]
[tex]\frac{44}{8} = 5.5[/tex]
So c has one solution: 5.5
Hope this helped (and I'm sorry I'm late!)
In the expression 3x2 + y -5, which of the following terms does not have a variable?
A.3x2
B. y
A
C. -5
D. None of these choices are correct.
Answer:
A, C
Step-by-step explanation:
Only B is containing a variable .
The -5 is not variable.
We have given that,
A.3x2
B. y
A
C. -5
In the expression 3x^2 + y -5
We have to determine which of the following terms does not have a variable.
What is the variable?
variable, In algebra, a symbol stands in for an unknown numerical value in an equation. Commonly used variables include x and y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s (arc length).
Only C contains a variable.
The -5 is not variable.
To learn more about the variable visit:
https://brainly.com/question/2804470
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find the positive square root upto 3 decimal points of 3
Answer:
1.732050808
Step-by-step explanation:
Given f (x) = -x + 2, find f(0).
Answer:
f(0) =2
Step-by-step explanation:
f (x) = -x + 2
Let x = 0
f(0) = -0+2
f(0) = 2
Answer:
f(0) = 2
Step-by-step explanation:
Substitute x = 0 into f(x)
f(0) = - 0 + 2 = 0 + 2 = 2
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.
Answer:
x = 53°
Step-by-step explanation:
The angle 115° and the angle formed by the sum of x+62° are external alternates angles, so it means they have the same measure, and you can find the value of x doing:
115°- 62° = 53°
PLEASE HELP I WILL GIVE BRAINLIEST
Step-by-step explanation:
A natural number is a positive whole number.
A whole number is a positive number with no fractions or decimals.
A interger is a whole number negative or positive.
A rational number is a number that terminates or continue with repeating digits.
A irrational number is a number that doesn't terminate or continue with repeating digits.
1. Rational Number
2. Natural,Whole,Interger,Rational
3. Whole,Rational,Interger
4. Rational
5.Irrational
6.Rational
7.Natural,Whole,Interger,Rational
8.Interger,Rational
9.Irrational