Answer: 45
Step-by-step explanation:
[tex]a_{n} = 5 - 2(n - 1)\\a_{16} = 5-2 (16-1)\\a_{16} = 5-2 (15)\\a_{16} = 3 (15)\\a_{16} =45[/tex]
Answer:
-25Step-by-step explanation:
aₙ = 5–2(n-1) = 5 - 2n + 2 = 7 - 2nSubstitute n with 16 for the 16th term
a₁₆ = 7 - 2(16) = 7 - 32 = -25What are the values of a, b, and c in the matrix addition below?
4
1
-5
-8
0
6
-4 1
1
1
-10
2
2
13
-4
5
-1
a
7
12
+
3
3
3
15-12
3
18 b
3
-8
-9
6
-3
11
-8 C
17
a=-5
b=-9
o
C=-12
a=-14
O b= 15
C=-12
a=-14
b=-9
[tex]a = - 14 \\ c = - 12 \\ b = - 9[/tex]
The solution is, the values of a = -14, b= -9, c = -12.
What is Matrix?Rows and columns of numbers are arranged in a matrix. A rectangular matrix is a grouping of numbers into rows and columns. The matrix A, for instance, has two rows and three columns.
here, we have,
A matrix is a rectangular arrangement of a collection of numbers into a fixed number of rows and columns.
We have a matrix of order 4 x 4 where the number of rows are 4 and number of column are 4.
and, the resultant matrix is also of order 4 x 4 where the number of rows are 4 and number of column are 4.
we get,
the addition of the two given matrices is,
[tex]\left[\begin{array}{ccc}-4 &1&1\\-14&7&12\\18&-9&3\\-8&-12&17\end{array}\right][/tex]
Then, the values of a = -14, b= -9, c = -12.
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A cell phone company charges a $36 activation fee and $49 every
month. What is the total cost of the phone after 6 months?
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEE
Which expression is equivalent to (4x^4/2x^3)^3?
A) 2x
B) 8x
C) 8x^3
D) 16x^21
Answer:
None are you sure you have the right expressions.
Step-by-step explanation:
(4x^4/2x^3)^3=(2x^4*x^3)^3=(2x^7)^3=8x^21
Write the quadratic equation in standard form please
-5x^2-6x=-1+2x
Answer: 5x^2 + 8x - 1 = 0
Step-by-step explanation:
-5x^2 - 6x + 1 - 2x = 0
5x^2 + 6x + 2x - 1 = 0
5x^2 + 8x - 1 = 0
a > 0
Given f(x) = 3x2 + x and g(x) = 2x. What is lim off(x))?
*--4
44
88
104
188
NEED HELP ASAP 30 POINTS
Answer:
88Step-by-step explanation:
Given the functions
f(x) = 3x² + x and g(x) = 2x
We are to find g(f(x))(-4)
First get g(f(x))
g(f(x)) = g(3x²+x)
Substitute x in g(x) with 3x²+x to have:
g(3x²+x) = 2((3x²+x))
g(3x²+x) = 6x² + 2x
Substitute = -4 into the result
g(f(x) (-4)) = 6(-4)² + 2(-4)
g(f(x) (-4)) = 6(16)-8
g(f(x) (-4)) = 96 - 8
g(f(x) (-4)) = 88
Hence the required answer is 88
practice: triangle sum theorem on a piece of paper solve for the variable , then find the missing angles
can someone solve 1 2 and 3 for me please
Carla can fill five glasses with every soda 20 seconds complete the table using equivalent ratios
Answer:
5:20
12:48
11:44
Step-by-step explanation:
I just multiplied them by 4
Lela records her bank transactions in her checkbook. The table shows some of her
recent entries. Today, Lela wrote a check for $15 to her mom. How should she record
this amount in her checkbook?
Answer:
B -15
Step-by-step explanation:
Answer:
-15
Step-by-step explanation:
she has -15
What is the congruence theorem used to prove that the two triangles are congruent?
Please give me the correct answer
Answer:
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side. The Pythagorean theorem states;
[tex]a^{2} + b^{2} = c^{2}[/tex]
Where "a" and "b" are the legs, and "c" is the hypotenuse.
It is given that;
b = 15.
c = 17
a = x
[tex]x^2[/tex] + [tex]15^2[/tex] = [tex]17^2[/tex]
[tex]x^2[/tex] + 225 = 289
[tex]x^2[/tex] = 64
x = 8
To find the area of a square, one has to raise one of the sides to the power of two.
[tex]x^2[/tex] = [tex]8^2[/tex] = 64
[tex]15^2[/tex] = 225
[tex]17^2[/tex] = 289
It is difficult to change how good I am at math even if I try hard and practice a lot.
A. strongly agree
B. agree
C. disagree
D. strongly disagree
Answer:
B
Step-by-step explanation:
A certain function h(x) contains the point (8,-2). Find the value of h^-1(-2) . Explain your answer.
Given:
A certain function h(x) contains the point (8,-2).
To find:
The value of [tex]h^{-1}(-2)[/tex].
Solution:
If a function is defined as
[tex]f(x)=\{(a,b):a\in R,b\in R\}[/tex]
Then, its inverse is defined as
[tex]f^{-1}(x)=\{(b,a):a\in R,b\in R\}[/tex]
It is given that, a certain function h(x) contains the point (8,-2). It means, its inverse [tex]h^{-1}(x)[/tex] contains the point (-2,8). So, the value of inverse function is 8 at x=-2, i.e.,
[tex]h^{-1}(-2)=8[/tex]
Therefore, the value of [tex]h^{-1}(-2)[/tex] is 8.
graph y=x+4
please help like rn
Answer:
y=4
Step-by-step explanation:
first you have y=mx+b
then b=4
and m=0
so it is
y=0x+4
or y=4
WILL MARK BRAINLIEST
Answer:
b = 6
Step-by-step explanation:
a² + b² = c²
8² + b² = 10²
8² + b² - 8² = 10² - 8²
b² = 100 - 64 = 36 = 6²
b = 6
Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment T S is 3 x + 2. Line segment S V is 4 x minus 1. What is the length of segment TQ?
Answer:
14 units
Step-by-step explanation:
In the diagram, the length of segment QV is 15 units. What is the length of segment TQ?
Solution:
A triangle is a shape with three sides and three angles. Types of triangles are isosceles triangle, equilateral triangle, scalene triangle, right angled triangle.
Two triangles are said to be congruent if all the corresponding three sides and three angles of one triangle is equal to the corresponding three sides and three angles of the other triangle.
Triangle SRV and triangle RQV are congruent triangles by side angle side congruency (i.e. SR = RQ, RV ≅ RV and ∠SRV = ∠QRV = 90°). Therefore:
SV = QV
4x - 1 = 15
4x = 16
x = 4 units
Triangle SRT and triangle RQT are congruent triangles by side angle side congruency (i.e. SR = RQ, TR ≅ TR and ∠SRT = ∠QRT = 90°). Therefore:
TQ = TS
3x + 2 = TS
TS = 3(4) + 2 = 12 + 2
TS = 14 units
Match the story with an equation.
Elena has a 8 foot piece of ribbon. She cuts off a piece that is 1/4 of a foot long. She
then cuts the remaining piece into four pieces of equal lengths.
Answer:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
Step-by-step explanation:
P=length of each of the 4 pieces
(8' - 0.25')/4=P
6/4 is the length of the each ribbon piece.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Elena has a 8 foot piece of ribbon.
Elena cuts off a piece that is 1/4 of a foot long.
The ribbon cutt off by Elena is 1/4×8=2
The remaining ribbon is given by 8-2=6
cuts the remaining piece into four pieces of equal lengths.
6/4.
Hence, 6/4 is the length of the each ribbon piece.
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A six-sided die is rolled 2 times. What is the fractional probability of rolling a 6 the first time and an even number the second time?
The probability of getting 6 the first time and an even number the second time is 1/12.
what is probability?probability is the quantification of possibilities in numbers.
(1) probability of rolling a 6 for the first time:
total possible outcomes = (1,2,3,4,5,6) =6
sample space = 1
probability of getting 6 = sample space/total possible outcomes
probability of getting 6 = 1/6
2)probability of getting an even number
total possible outcomes will be (1,2,3,4,5,6)
sample space = (2,4,6) ie 3
probability of this = 3/6 = 0.5
total probability = 1/6*0.5 = 1/12
therefore,
The probability of getting 6 the first time and an even number the second time is 1/12.
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What type(s) of symmetry does the figure have? (Check all that apply.)
Line Symmetry
Rotational Symmetry
None
Answer:
Rotational Symmetry
Step-by-step explanation: It stays the same when rotated
What is the slope of a line perpendicular to 5y + 3x = 15
Answer:
Using the slope-intercept form, the slope is −35 . The equation of a perpendicular line to y=−3x5+3 y = - 3 x 5 + 3 must have a slope that is the negative reciprocal of the original slope.
Find the equation of the exponential function represented by the table below:
y=
Answer:
The value of exponential function: y = 0.2(0.5)ˣ
Step-by-step explanation:
We know that the exponential function is of the form
y = abˣ
From the table, it is clear that
when x = 0, y = 0.2
so substitute x = 0, y = 0.2
[tex]0.2\:=\:ab^{0}[/tex]
0.2 = a × 1 ∵ b⁰ = 1
0.2 = a
so, we have a = 0.2
now substitute x = 1 and y = 0.1
y = abˣ
0.1 = 0.2×b¹
0.1 = 0.2×b
b = 0.1/0.2
b = 0.5
now substituting a = 0.2 and b = 0.5
y = abˣ
y = 0.2(0.5)ˣ
Therefore, the value of exponential function: y = 0.2(0.5)ˣ
what is the answer to this solution. -7r−4≥ 4r+2
Answer:
The solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Step-by-step explanation:
Given the expression
[tex]-7r-4\ge \:4r+2[/tex]
Add 4 to both sides
[tex]-7r-4+4\ge \:4r+2+4[/tex]
Simplify
[tex]-7r\ge \:4r+6[/tex]
Subtract 4r from both sides
[tex]-7r-4r\ge \:4r+6-4r[/tex]
Simplify
[tex]-11r\ge \:6[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)[/tex]
Simplify
[tex]11r\le \:-6[/tex]
Divide both sides by 11
[tex]\frac{11r}{11}\le \frac{-6}{11}[/tex]
Simplify
[tex]r\le \:-\frac{6}{11}[/tex]
Therefore, the solution is:
[tex]-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}[/tex]
Please check the attached line graph below.
Which equation represents a linear function with a slope of 12 and a y-intercept of -15? A. Y=−15x+12 B. Y=−x2+15 C. Y=x2−15 D. Y=2x−15
Answer:
y = 12x-15
Step-by-step explanation:
The equation of a line is given by :
[tex]y=mx+c[/tex]
Where
m is slope and c is y-intecept.
Here, the slope is 12 and y-intercept is -15.
Then the equation is :
y = 12x+(-15)
or
y = 12x-15
Hence, the required equation for the line is "y=12x-15".
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
Pleaseee helpppppp correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
2 now mqrk MEEEE
Step-by-step explanation:
Answer:
ABC is isosceles
Step-by-step explanation:
Find the distance between the points given.
(-3, -6) and (3, 2)
4
V52
10
Answer: The final answer is 10. 10 is the distance between the 2 points given.
Step-by-step explanation:
the polygon in each pair are similar.find the missing side length.
the answer should be 8..
If r = 12 cm, what is the area of this sector? Express your answer to the nearest tenth of a centimeter.
Answer:
339.3 cm
Step-by-step explanation:
12 • 12 = 144
Find 144π
Find 3/4 of it
Answer:
339.3 to nearest tenth of cm^2.
Step-by-step explanation:
This is 3/4 of a circle so the area is:
3/4 * pi r^2
= 3/4 * 12^2 pi
= 108 pi
= 339.292
I need somebody
(Help!) not just anybody help
Answer:
It is C √2/2
Step-by-step explanation:
How much times can two go into six
Answer:
3 because if you can only make two groups of three
(and how do you not know this? I really dont want to be rude)
Answer:
3
Step-by-step explanation: