Answer:
a₅ = 1701
Step-by-step explanation:
[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]
= -4*7 + 2
= -28 + 2
= -26
a₃ = -4a₂ + 3
= -4*(-26) + 3
= 104 + 3
= 107
a₄ = -4a₃ + 4
= -4*107 + 4
= -428 + 4
= -424
a₅ = -4a₄ + 5
= -4*(-424) + 5
= 1696 + 5
= 1701
-5
What is the sign of a.
()
when a = 0 and b < 0?
b
Sos I need help
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
The sign of a will be negative ~
let the value of be be ' -x ' , -x is a negative number (b = -x < 0)
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - b}{b} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - ( - x)}{ - x} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ x}{ - x} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - x}{ x} [/tex]
[tex]\qquad \sf \dashrightarrow \:a \times - 1[/tex]
[tex] \qquad \sf \dashrightarrow \:- a[/tex]
Therefore, the term a, has a negative sign unless it's value is substituted, I.e -a = 0 ( having no sign )
-4 + 3y = 29
5x + y = -3
solve by substitution
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
Please Help! will give brainlest!
Answer:
No, because triangle XYZ is not a right triangle.
Step-by-step explanation:
SOHCAHTOA (sin, cos, tan) can only work on right triangles. If a triangle is not a right triangle, you cannot use sin cos tan on it. This triangle is not a right triangle, so this is why you cannot fin the tangent ratio.
Given similar terms, solve for the missing variables (x)
Answer:
x=10
Step-by-step explanation:
the image above shows the work to solve the equation
What is the measure of the missing angle?
Answer:
140°
........
.......
........
(-5 -10 -32 ) • (4 - 8 - 16) =
Can someone help me please
The line through the points (6, 3) and (4, –5) is perpendicular to the line through which of the following points?
Answer:
Step-by-step explanation:
( 6 , 3 )
( 4 , - 5 )
m = [tex]\frac{-5-3}{4-6}[/tex] = 4
The slope of the perpendicular line is opposite reciprocal or [tex]-\frac{1}{4}[/tex] , so, the answer is (a).
Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?
Answer:
£336 more
Step-by-step explanation:
2100/5 = 420 One fifth of the total lottery.
Colin has four shares so 4X420 = 1680
He then splits it into 10 (2+3+5) parts. 1680/10=168
Wife: 168X5=840
Son: 168X3=504
Wife-Son 840-504=336
Answer:
336£
Step-by-step explanation:
To get the amount of money colin gets
(2100*4)/5=1680
Lets do a table:
2 is himself5 is his wife3 is his son2. 5. 3. Sum:10
(2*1680)/10. (5*1680)/10. (3*1680)/10
=336. =840. =504
Then the wife gets 840-504=336£The area of the path of the width 5 m is surrounded outside the square pond is 900m^2 find the length of the pond
Answer:
180mStep-by-step explanation:
[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]
Find the area of the figure.
Answer:
55 sq meters
Step-by-step explanation:
Area of big triangle 7x5=35/2
but there's two big triangle so 35/2 x 2 =35
area of small triangle 5x4=20/2 10
10 x 2 =20. And then combine 20+35=55
So the area is 55 sq meters.
A scale diagram of a statue is drawn using a scale of 1 cm to 6 m.
The statue is 30 m tall in real life.
How tall is the diagram of the statue?
Answer:
5cm in the diagram
Step-by-step explanation:
30/6=5
Factor b12 + 8.
help fast pls
Answer:
3b+2 or 4(3b+2)
Step-by-step explanation:
Mark as brainliest
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
two solutionsx = 1, 3
Explanation:
[tex]\sf f(x)=x^2-4x+3[/tex]
[tex]\rightarrow \sf x^2-4x+3=0[/tex]
[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]
[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]
[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]
[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]
[tex]\rightarrow \sf x=1, \ x=3[/tex]
Thus, there are two solutions and the values are 1 and 3
Let's see
[tex]\\ \rm\rightarrowtail f(x)=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1,3[/tex]
The radius of a circle is 2 inches. What is the length of a 180
Answer:
4pi or 12.6
Step-by-step explanation:
I hope this helps
Tiffany ate ¼ of a pizza. If there were 16 slices of pizza to begin with, how many slices did Tiffany eat?
Answer:
she ate 4 slices
Step-by-step explanation:
Answer:
1/4 × 16
=4
therefore she ate 4 slices
Mai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for in all the equations and see where they are not equal?” 1. Find the step where Tyler made an error. 2. Explain what he did wrong. 3. Correct Tyler’s work.
Mai's statement implies that Tyler's steps do not form an equivalent expression
Tyler's error is in step 3.
How to determine Tyler's error?Tyler's steps of solving the expression is given as:
9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x + -63 - 20xTyler's error is in step 3.
This is so because:
9 + (-4) ( 5x + -6 ) in step 2 is not equivalent to 9 + -20x + -6 in step 3
In actual sense, Tyler's error is in multiplying the (-4) and (-6)
The correct solution is as follows:
9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x +2433 - 20xRead more about equivalent expressions at:
https://brainly.com/question/2972832
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answer: Statements 3, 4, 5
Step-by-step explanation:
Statement (3) is true because an interior angle and its exterior angle are supplementary.
Statement (4) is true by the exterior angle theorem.
Statement (5) because the sum of the angles of a triangle is 180 degrees.
Tyler has completed 60 pages in his
French workbook. This is 20% of the total
number of pages in the workbook.
How
many pages are in the workbook?
Answer:
300 pages
Step-by-step explanation:
this is the answer
Use the diagram to complete the statement
Answer:
cos(52)
Step-by-step explanation:
Both sin(38) and cos(52) are equal to KJ/KL.
What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).
The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.
What is the sum?The result or response we obtain when we add two or more numbers or terms is known as a sum.
The given terms will be
[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]
The sum is found as;
S= x+y
[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]
Hence the sum of the given data will be 7 ⁵√x²y.
To learn more about the sum refer to the link;
https://brainly.com/question/13013054
Answer:
Its C
Step-by-step explanation:
TRUST>>>
Find the size of angle x.
Answer:
x = 56°
Explanation:
x + 124° = 180°x = 180° - 124°x = 56°Note: A straight line has total 180°
Answer:
x = 56°
Step-by-step explanation:
x + 124° = 180° ( being linear pair )
X = 180° - 124°
X = 56°
Please I need help
Will give brainlest answer !!!
Answer:
41
Step-by-step explanation:
5 integers with an average of 44
⇒ sum of the integers = 5 x 44 = 220
The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x
The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52
Therefore, the remaining two integers are less than 50.
The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25
25 x 50 52 52
To find the last unknown integer :
⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220
⇒ x = 41
Therefore, the integers are:
25, 41, 50, 52, 52
Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
The correct statement regarding the function plotted in the graph is:
C) The maximum value of the quadratic function occurs at y = 4.
What is the rate of change of the linear function?When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:
R = [8 - (-7)]/-5 - 0 = 15/-5 = -3
What is the maximum value of the quadratic function?It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.
More can be learned about functions at https://brainly.com/question/25537936
Find the sum or product two different ways. 5+6+7+8
Evaluate expression if a = 2.
a² - 5a - 6
Answer:
-12.
Step-by-step explanation:
a^2 - 5a - 6
When a = 2 we have
2^2 - 5(2) - 6
= 4 - 10 - 6
= -12.
Answer:
Step-by-step explanation:
a²- 5a - 6
Substitute a for 2
(2)² - 5(2) - 6
Solve.
4 - 10 - 6 = -12
If a = 2, a²- 5a - 6 equals -12
can 133.97 be an answer to a cone with a radius of 4 inches and a height of 8 inches
Answer:
no
Step-by-step explanation:
the answer is 134.04
please help meeeeeeeeeeeeeeee
Answer:
They given expresión is Pd y no mi al
A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers
We know, perimeter of the rectangle = 2(l +b)
where, l = length and b = breadth
Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.
=> Perimeter = 2(l + b)
=> 48 = 2(l + 10)
=> 48/2 = l + 10
=> l + 10 = 24
=> l = 24 - 10
=> l = 14 kilometers
How many different triangles can you make if you are
given these three measurements for angles?
Answer:
1
Step-by-step explanation:
If you're given 3 side lengths and 3 measurements of the angles , there's only one triangle that you may draw. You also can draw distinctive triangles given 3 aspect lengths or aspect lengths and the blanketed distinctive measure.
Answer:
1
Step-by-step explanation:
if you are given 3 measurements you are kind of stuck making that one triangle, no matter which way you shape it you have to have those three angles so you can't make more than that one triangle
Select the correct answer. Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio stations. 30 , 31 , 37 , 36 , 31 , 35 , 34 By how many minutes would her median time change if she added another radio station playing 37 minutes? A. the median did not change B. 0.5 C. 0.4 D. 0.45
Answer:
D. 0.45
Step-by-step explanation:
Median is everything added up, then divide by the amount of numbers you have.
30+31+37+36+31+35+34=234
then divide by 7 and you get 33.42
30+31+37+36+31+35+34+37=271
then divide by 8 and you get 33.87
33.87 and 33.42 have a difference of 0.45