Answer:
[tex]a_{n}[/tex] = 16 - 7n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
2 - 9 = - 5 - 2 = - 12 - (- 5) = - 7
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , then
[tex]a_{n}[/tex] = 9 - 7(n - 1) = 9 - 7n + 7 = 16 - 7n
Solve the quadratic equation by factoring
1). 210m^2+156m-96=0
2). 35m^2+26x-16
3). 35m^2+40m-14m-16
4). (35m^2+40m)+(-14m-16)
5). 5m(7m+8)-2(7m+8)
6). (5m-2)(7m+8)
7.) m= 2/5, -8/7
On the 2nd step I divided 6 on both sides.
Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.
Answer:
-17 < g [tex]\leq[/tex] 8
Step-by-step explanation:
'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.
Could someone please help me?
Answer:
ab=9 and ac=12
Step-by-step explanation:
Help please please help me please
Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
Write the complex number 1 +i/1 -i into polar form
Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
A diesel generator produced 1,800 kilowatt hours of
electrical energy in 4 hours and consumed 36 gallons
of diesel per hour in the process. How many kilowatt
hours of electrical energy are produced by the
combustion of 1 gallon of diesel?
A) 12.5
B) 45
C) 50
D) 80
Express as -80/112 as a rational: numerator = -5
Answer:
-80\112 = -5\7
we divided both numbers by 16
Two standard dice are rolled together. What is the probability of rolling a sum less than 7 or a sum divisible by 5?
Answer:
Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)
Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)
One thousandth of the base unit in length :
One millionth of the base unit in mass :
One thousandth of the base unite in time :
Step-by-step explanation:
[tex]1 \div 100th[/tex]
What is the measure of the missing length?
Use the Pythagorean theorem
? = sqrt(52^2 + 19^2)
? = sqrt(2704 + 361)
? = sqrt(3065)
Answer: sqrt(3065)
PLS HELP ME ON THIS QUESTION!!!
Please help me solve this guys pleasee im struggling
Answer:
see below
Step-by-step explanation:
y = x^2 +2x - 8
Factor
y = ( x+4)(x-2)
The zeros are
x+4 = 0 x-2 = 0
x= -4 x= 2
(-4,0) (2,0)
The axis of symmetry is 1/2 way between the zeros
(-4+2)/2 = -2/2 = -1
x = -1
The x coordinate of the vertex is at the axis of symmetry
The y value is found by substituting x=-1
y = (-1+4) (-1-2)= 3*-3 = -9
Vertex ( -1,-9)
The domain is all real numbers
The range is from -9 up
y≥ -9 since it opens upward
Can someone help me with this
Answer:
Does the answer help you?
Write the equation of a line in standard form that is perpendicular to y = -⅔ x + 4 and goes through the point (3,1).
—3/2 X + Y = —7/2
This is the standard form
Please help me I’m confused
A midpoint is a point that divides a given line into two equal halves.The answers to the questions are:
1. BC = 89
b. AB = 45
c. AC = 44
2. The coordinate of I is 2.5
3. J = 19
4. MQ = 32
5. NO = 13
6. NO = 23
b. MN = 25
A line segment can be divided into different fractions. Where the point that divides the line segment into equal parts is the midpoint. however, number line is a system that shows the location or positions of all directed numbers.
The given questions can be solved as follows:
1. Given that point A is between BC and AB = 4x -3, BC = 7x + 5, AC = 5x - 16
But,
BC = AB + AC
7x + 5 = (4x -3) + (5x - 16)
= 9x - 19
7x + 5 = 9x - 19
19 + 5 = 9x - 7x
24 = 2x
x = [tex]\frac{24}{2}[/tex]
x = 12
So that;
a. BC = 7x + 5
= 7(12) + 5
BC = 89
The value of BC is 89.
b. AB = 4x -3
= 4(12) - 3
AB = 45
Thus AB has a value of 45.
c. AC = 5x - 16
= 5(12) -16
AC = 44
The value of AC is 44.
2. Given that H is the mid point of GI, and G = 8, I = -3.
Then;
I = 2.5
The coordinate of I is 2.5
3. A midpoint is a point that divides a line segment in to two equal halves. Given that J is the midpoint of KL. KL = 38
J = [tex]\frac{KL}{2}[/tex]
= [tex]\frac{38}{2}[/tex]
J = 19
The value of the midpoint J is 19.
4. It can be deduced from the conditions given in the question that:
MQ = MN + NO + OP + PQ
= 8 + 8 + 16 (NB: OP + PQ = 16)
MQ = 32
Thus, value of MQ is 32.
5. Since P is the mid point of NQ, and OP = 11, OQ = 35
Then;
PQ = OQ - OP
= 35 - 11
PQ = 24
Since, PQ = NP =24
Then;
NO = NP - OP
= 24 - 11
NO = 13
NO has a length of 13.
6. NO = 2y + 11, OP = 3y - 2, NP = 6y + 3 and MP = 64.
But,
NO + OP = NP
(2y + 11) + (3y - 2) = 6y + 3
5y + 9 = 6y + 3
9 - 3 = 6y - 5y
y = 6
So that;
a. NO = 2y + 11
= 2(6) + 11
NO = 23
Here, the value of NO is 23.
b. MN = MP - NP
But,
NP = 6y + 3
= 6(6) + 3
NP = 39
Then;
MN = 64 - 39
MN = 25
So that MN has a value of 25.
Visit: https://brainly.com/question/20751513
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answer:
[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
A taxi charges a flat rate of $8 plus $2 per mile travelled. Write an equation to represent the total cost of a journey. (Let d miles = distance travelled)
Answer:
Y = 8 + 2d
Step-by-step explanation:
Y = 8 + 2d where d is miles traveled
Answer:
y = 2d + 8
Brainliest, please!
Step-by-step explanation:
y = mx + b
m = slope, b = y-intercept
The flat rate of $8 is the y-intercept, and the slope is $2.
y = 2x + 8
We can change x to d to match the context of this problem.
y = 2d + 8
if A=(p,q,r) write all possiblesubsets of A
Answer:
Given, A={p,q,r}.
Now, possible subsets of A are ,{p},{q},(r) {p,q}.
(q,r) (p,r) (p,q,r)
PLEASE PLEASE HELP ME I *REALLY* NEED HELP!!!
(ALL LINKS WILL BE DELETED)
Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement.
Question options:
A) Impossible to determine.
B) The quadrilaterals are not similar.
C) QRST ∼ FEHG
D) QRST ∼ EFGH
Answer:
B) The quadrilaterals are not similar
Step-by-step explanation:
The sides do not correspond and are not proportionate
х
x
320
X=
degrees.
SJSJSJSJS Ja
Answer:
122
Step-by-step explanation:
The exterior angle of a triangle is the sum of the opposite interior agnles
32+90 =x
122 =x
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
[tex] \bf \large \hookrightarrow \: \: x \: = \: 32 \degree \: + \: 90 \degree [/tex]
[tex]\bf \large \hookrightarrow \: \: x \: = \: 122 \degree[/tex]
Please help explanation if possible
Answer:
y=-4x+16
Step-by-step explanation:
Okay, so a perpendicular line has an opposite reciprocal slope.
The slope for the first line is x/4, but I like to write it as 1/4x, since it's easier to look at.
The opposite reciprocal for 1/4x is -4x
So far, we have y=-4x+ [ ]
To find the remaining b value, we can use the given point intersection.
plug in the x and y values given (4, -1) and solve for b.
The equation for the perpendicular line is y=-4x+16
Can someone correct my work and answer/explain question C)
Marking Brainliest, 10 Points
Answer:
4 TOPPING WITH 5 CENTS LEFT
Step-by-step explanation:
A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so
3.5-0.75=2.75 (1 topping
2.75-0.75=2 (2 topping
2-0.75=1.25 (3 topping
1.25-0.75=0.5 (4 topping
there for you can get 4 toppings with 5 cents left over
Would be very happy if you helped.Don’t spam guys
[tex]\\ \sf\longmapsto 41sin\Theta=40[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{40}{41}[/tex]
Now
[tex]\boxed{\sf cos\Theta=\sqrt{1-sin^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\left(\dfrac{40}{41}\right)^2}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{1-\dfrac{1600}{1682}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{1681-1600}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\sqrt{\dfrac{81}{1681}}[/tex]
[tex]\\ \sf\longmapsto cos\Theta=\dfrac{9}{41}[/tex]
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Sin\theta}{Cos\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{tan\Theta}{1-tan^2\Theta}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{sin\Theta}{cos\Theta}}{1-\dfrac{sin^2\Theta}{cos^2\Theta}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{\left(\dfrac{40}{41}\right)}{\left(\dfrac{9}{41}\right)}}{1-\dfrac{\left(\dfrac{40}{41}\right)^2}{\left(\dfrac{9}{41}\right)^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{{40}}{{9}}}{1-\dfrac{{40}^2}{{9}^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{9^2-40^2}{9^2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{81-1600}{81}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{40}{9}}{\dfrac{-1519}{81}}[/tex]
[tex]\\ \sf\longmapsto {\dfrac{40}{\cancel{9}}}\times \dfrac{\cancel{81}}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40\times 9}{(-1519)}[/tex]
[tex]\\ \sf\longmapsto - \dfrac{360}{1519}[/tex]
Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?
Answer:
4/8= 2/4=1/2= 50%
Step-by-step explanation:
4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%
Select 2 strategies that we can use to subtract 563-192
A. Add 100 + 90 + 2
B. Evaluate (563 - 200) + 8
C. Subtract 571 - 200
Answer:
B and C
Step-by-step explanation:
A = 192
B = (563 - 200) + 8 = 371
C = 571 - 200 = 371
Can i please get this answered
Answer:
0 is the answer . The explanation is in the attachment .
The sum of two numbers is 83 if one of the number is 7 more than the other find the two numbers?
Answer:
48.5 and 34.5
Step-by-step explanation:
83 divided by 2 and then subtract 7
Answer:
45 and 38 equal 83 and 45 is 7 more than 38
K(x)=5^x+2 find (-2)
Answer:
1
Step-by-step explanation:
K(x)=5^(x+2)
Let x = -2
K(-2)=5^(-2+2)
= 5^0
= 1
Answer:
k(- 2) = 1
Step-by-step explanation:
Substitute x = - 2 into k(x) , that is
k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]
4x+5x+7+x+2 Combine like terms
Answer:
10x+9
Step-by-step explanation:
Since 4, 5, and 1x are all x terms you add them up. So 4x+5x+1x=10x. The same goes for 7 and 2, except they are non-x terms. So 7+2= 9. That means that the final answer is 10x+9.
Hope this helps!
Pleaseeeee help!!!!!
Answer:
.71
Step-by-step explanation:
We only need to look at the brown eyes row
2+2+10 =14
Brown hair is 10
P(brown hair) = brown hair / total
=10/14 =5/7 = .714285714
