Answer:
Step-by-step explanation:
[tex]1+cot^2x = csc^2x= \frac{1}{sin^2x}[/tex]
it becomes
[tex]\frac{1}{sin^2x}*\frac{sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
Done
TICKETS Three kinds of tickets are available for a concert: orchestra seating, mezzanine seating, and balcony seating. The orchestra tickets cost $2 more than the mezzanine tickets, while the mezzanine tickets cost $1 more than the balcony tickets. Twice the cost of an orchestra ticket is $1 less than 3 times the cost of a balcony ticket. Determine the price of each kind of ticket.
Answer: an orchestra seating ticket cost $10
A mezzanine seating ticket cost $8
A balcony seating ticket cost $7
Step-by-step explanation:
Let x represent the price of an orchestra seating ticket.
Let y represent the price of a mezzanine seating ticket.
Let z represent the price of a balcony seating ticket.
The orchestra tickets cost $2 more than the mezzanine tickets. It means that
x = y + 2- - - - - - - 1
The mezzanine tickets cost $1 more than the balcony tickets. It means that
y = z + 1 - - - - - - -2
Twice the cost of an orchestra ticket is $1 less than 3 times the cost of a balcony ticket. It means that
2x = 3z - 1- - - - - - - - -3
Substituting equation 2 into equation 1, it becomes
x = z + 1 + 2
x = z + 3 - - - - - - - - - -4
Substituting equation 4 into equation 3, it becomes
2(z + 3) = 3z - 1
2z + 6 = 3z - 1
3z - 2z = 6 + 1
z = 7
x = z + 3 = 7 + 3
x = 10
y = z + 1 = 7 + 1
y = 8
Scientific notation
9.78 × 10^5 - 732,000
It has to be either 2.46 × 10^5 or 2.46 × 10^3
Answer:
[tex]2.46\times 10^5[/tex]
Step-by-step explanation:
[tex]9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5[/tex]
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
(x+4)
Step-by-step explanation:
Since area is width times length, you can just factor the area to get the width and length
You factor to get (x+4)(x+7)
Since (x+7) is the length, (x+4) must be the width
Answer:
(x + 4) m
Step-by-step explanation:
[tex]Area \: of \: rectangle = length \times width \\ \\ width = \frac{Area \: of \: rectangle}{length} \\ \\ = \frac{ {x}^{2} + 11x + 28 }{x + 7} \\ \\ = \frac{ {x}^{2} + 7x + 4x + 28}{x + 7} \\ \\ = \frac{ x({x} + 7) + 4(x + 7)}{x + 7} \\ \\ = \frac{ ({x} + 7) (x + 4)}{x + 7} \\ \\ = (x + 4) \: m \\ \\ \red{ \boxed{\bold {\therefore \: width \: = (x + 4) \: m}}} [/tex]
the standard form of linear equation is Ax + By = C. if b=0 and a and C are positive, which best describes the graph of this equation
Answer:
It is a vertical line
Step-by-step explanation:
the equation will be in the form of Ax=C hence we can make X the subject of the formula giving
[tex]x = \frac{ a}{c} [/tex]
Sidney is eating lunch at a salad bar where you create your own salad. An 8-ounce salad costs $2.49. Each additional ounce of salad costs $0.25. How much does Sidney's salad cost if it weighs 1 pound, 8 ounces?
Answer:
6.49
Step-by-step explanation:
2.49 + 0.25(16)
2.49+4
6.49
Answer:
$6.49
Step-by-step explanation:
1 lb = 16 oz
His salad weighs 1 lb, 8 ounces which is the same as 16 ounces plus 8 ounces.
8 ounces cost $2.49
His salad weighs 16 ounces more than 8 ounces, so in addition to the $2.49, he needs to pay $0.25 per ounce for 16 extra ounces.
16 * 0.25 = $4.00
Total cost = $2.49 + $4.00 = $6.49
A cube has width of 9 cm. What is the volume of the cube?
Answer:
V = 729 cm³
Step-by-step explanation:
side length a = 9 cm
face diagonal f = 12.727922061358 cm
solid diagonal d = 15.58845726812 cm
surface area S = 486 cm²
volume V = 729 cm³
Formula: V=a³
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?
Answer:
Total paper required = 165 cm²
Step-by-step explanation:
Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid
Surface area of the rectangular prism = 2(lb + bh + hl)
(here l, b, h are the length, width and height respectively)
= 2(5×5 + 5×4 + 4×5)
= 2(25 + 20 + 20)
= 2×65
= 130 cm²
Area of the top of the prism = (side)²
= 5²
= 25 cm²
Lateral area of the square pyramid = 4 × Area of one lateral side
= 4 × [tex][\frac{1}{2}(\text{Base})(\text{Height})][/tex]
= 4 × [tex][\frac{1}{2}(5)(6)][/tex]
= 60 cm²
Total paper required = (130 - 25) + 60
= 105 + 60
= 165 cm²
will mark brainliest!! factor the following equation: g(x)=2x²-2x-24
Answer:
g(x)=2(x-4)(x+3)
Step-by-step explanation:
Answer:
Hello,
g(x) = 2 (x + 3) (x - 4)
Step-by-step explanation:
g(x) = 2x²- 2x - 24
⇔ g(x) = 2 (x² - x - 12)
⇔ g(x) = 2 ((x - 1/2)² - (1/2)² - 12)
⇔ g(x) = 2 ((x - 1/2)² - 12.25)
⇔ g(x) = 2 ((x - 1/2)² - 3.5²)
⇔ g(x) = 2 ((x - 1/2)² - (7/2)²)
⇔ g(x) = 2 (x - 1/2 + 7/2) (x - 1/2 - 7/2)
⇔ g(x) = 2 (x + 3) (x - 4)
The sum of two integers is two times their difference. Which of the following algebraic equations demonstrates this? A) (x + y) = 2(x - y) B) (x + y) = (x - y) + 2 C) (x + y) = (x - y) - 2 D) 2(x + y) = 2(x - y) E) 2(x + y) = (x - y)
Answer:
It is A)
Step-by-step explanation:
Please help me with my math question!!!
Answer:y=-1/2x+3
Step-by-step explanation:
y=-1/2x+3
Bc any slope that is the same as the line is parallel.
So if you count, 1 up and two to the left.
I’m rly stuck on this , how do u do this ?
Answer:
16x+5
Step-by-step explanation:
First, we have to distribute.
2(5x+4)+3(2x-1)
2(5x)+2(4)+3(2x)+3(-1)
10x+8+6x-3
Combine Like Terms
10+6x+8-3
16x+5
Simplify the following expression
Answer: 0.25 or 1/4
Step-by-step explanation:
1/2*2 = 1/2^2 = 1/4
what is the length of PR?
Answer:
PR is 9 units long.
Step-by-step explanation:
You can see that triangle YXZ and QPR are similar because they have 2 angles in common. This means that they have a scale factor between them. The scale factor between triangle YXZ and QPR happens to be 1/3, as you can see, side QP is 1/3 times of corresponding side YX. To find PR, you just need to check how long its corresponding side is. XZ is 27 units long, and 1/3 of 27 is 9 units.
9 sec2 A - 9 tan2 A=
hcglnlkl gzfog dufkbicfhpffkgdhjdk
a rectangular prism has a height of 12 centimetres and a square base with sides measuring 5 centimetres, a pyramid with the same base and half the height of the prism is place inside the prism, the volume of the space outside the pyramid but inside the prism is?
Description:
The base of the prism is a square with sides measuring 5 cm, so its area is
(5cm)*(5cm)= 25 square cm
So the volume of the prism, in cubic cm, is
25*12=300
The volume of a pyramid is (1/3)(area of base)(height) .
It is 1/3 of the volume of a rectangular prism with the same base and height.
So the volume of the pyramid in this problem, in cubic cm, is
1/3*300=100
So the volume of the space outside the pyramid but inside the prism, in cubic cm, is
300-100= 200
Answer: =200
Please mark brainliest
Hope this helps.
pls help ASAP for brainliest answer
Answer:
324cm^3
Step-by-step explanation:
The formula for calculating volume of a triangular prism is 1/2× bhl (b : base, h : height, l : length)
1/2 × 6 × 9 × 12 = 324cm^3
g(r)=-(r+11)(r+14)
what are the zeros & what is the vertex
Answer:
The roots (r) or the Zeros ( other name ) = -11 and -14
Step-by-step explanation:
Post in comments if u need step by step and Ill give to u :)
.the difference of thirteen and six, multiplied by a number
This is the expression your question creates 13-6•x
Answer:
This can be written as (13-6)n. Hope this helps!
Step-by-step explanation:
There are group of 20 friends. Every one is a supporter of either Chennai Super Kings or Kolkata Knight Riders or both. If 15 of them support Chennai Super Kings and 10 of them support Kolkata Knight Riders, (i) the number of people who supports both Chennai Super Kings and Kolkata Knight Riders is ____. (ii) the number of people who support only Chennai Super Kings is ____. (iii) the number of people who support only Kolkata Knight Riders is ____.
Answer:
CSK = Chennai Super Kings
KKR = Kolkata Knight Riders
factor completely 81x2-4
Answer:
(9x-2)(9x+2)
Step-by-step explanation:
81x^2 - 4
Rewriting as
(9x)^2 - 2^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(9x-2)(9x+2)
Answer:
(9x + 2)(9x - 2)
Step-by-step explanation:
To factor this expression, you can use a neat trick called difference of squares.
Difference of squares tells us:
a^2-b^2 = (a+b)(a-b)
Now look at the expression we have here:
81x^2 - 4
well, we know that 81 is 9^2, x^2 is literally x^2, and 4 is 2^2
So we can rewrite this as:
(9x)^2 - 2^2
By difference of squares that gives us:
(9x + 2)(9x - 2)
Raoul is y years old . Kayla is 6 years older than raoul and lsaac is 4 years younger than raoul find kaylas age
Answer:
20
Step-by-step explanation:
Let Kayla's age be k.
Let Isaac's age be a.
Kayla is 6 years older than Raoul. This means that:
k = y + 6
lsaac is 4 years younger than Raoul. This means that:
a = y - 4
y = 12
=> k = 12 + 6 = 18
and
a = 12 - 4 = 8
The sun of Raoul's age and Isaac's age is:
12 + 8 = 20
City
Atlanta
Positive Response to Program 1 Positive Response to Program 2
77.8%
82.1%
Boston
86.4%
86.6%
65.9%
Chicago
Dallas
87.5%
73.8%
80.9%
69.796
79.4%
78.4%
88.1%
Houston
Los Angeles
Miami
Newark
82.596
82.6%
81.496
83.3%
Total
68.89
81.7%
The probabilities of a positive response to two government programs from citizens in eight cities are given in the table. What is the chance of
a positive response for program 1, given that the individual is from Houston?
ОА
68.896
OB.
69.796
OC.
79.496
OD
insufficient data
Answer:
The correct option is (B) 69.7%.
Step-by-step explanation:
The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.
The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city x.
The probability a positive response for program 1 from an individual from Houston is 69.7%.
Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.
Thus, the correct option is (B).
Patrick made a cake for his mother's birthday. He started making the
cake batter at 9:00 A.M. It took 1 hour and 15 minutes to make the
batter. Then, the cake baked in the oven for 1 hour.
What time did the cake come out of the oven?
Show your work
Answer: 11:15 AM
Step-by-step explanation:
9:00 plus an hour and 15 minutes (75 minutes) makes it 10:15. Then bake for an hour (60 minutes), makes it 11:15
Answer:
what she saisddddddddddd
Step-by-step explanation:
May I get Help With this Task 1,2,3,4,5
Answer:
1. We'll be looking at g(x) and from the table when x = 3,000 Angela owes 44,600 dollars.
2. f(3) = 2000
g(2000) = 45,000
3. g(3,500) = 44,400 and f(6) = 3,500 so the answer is 44,400 - 3,500 = 40,900.
4. From the table when f(x) = 2,500, x = 4.
5. From the table when g(x) = 44,200, x = 4,000.
Answer:
1. when f(x) = $ 3000 the loan still 44,600
2. f(3) means her saving in 3rd month. so f(3) is 2000 then g(2000) is 45000
3. g(3500) - f(6) = 44400 - 3500 = 40,900
4. based on table f(x), x is 4
5. based on table g(x) (the right one), x is 4000
What is the first step in solving the quadratic equation x2 – 40 = 0?A) taking the square root of both sides of the equationB) adding 40 to both sides of the equationC) squaring both sides of the equationD) subtracting 40 from both sides of the equation
Answer:
The correct answer is "B", we first need to add 40 to both sides of the equation.
Step-by-step explanation:
Since we have the following quadratic equation:
[tex]x^2 - 40 = 0[/tex]
The first step to solve it is to isolate the independent variable, "x". To do that we must add +40 on both sides of the equation, since that way the "-40" on the left will be gone in a way that maintains the validity of the equation as shown below:
[tex]x^2 - 40 = 0\\x^2 - 40 + 40 = 40\\x^2 = 40[/tex]
After this step we take the square root of both sides:
[tex]\sqrt{x^2} = \sqrt{40}\\x = \pm \sqrt{40}\\x = \pm \sqrt{4*10}\\x = \pm 2*\sqrt{10}[/tex]
Therefore the correct answer is "B".
The vector v with initial point (0,0) is shown below. Write v in the form v=a i + b j, where a and b are integers.
Answer:
[tex]v=-3i+5j[/tex]
Step-by-step explanation:
In the representation of a vector we must take into account the coordinate in which its tip is located.
In this case the vector tip is at [tex](-3,5)[/tex] and starts at the coordinate origin.
When expressing a vector in the following form:
[tex]v = ai + bj[/tex]
the numbers [tex]a[/tex] and [tex]b[/tex] represent the components of the vector, that is, the vector measurements when projecting it onto the axes.
The number that accompanies i ([tex]a[/tex]) is the component of the vector on the x-axis, in this case it is 3 units:
[tex]a = -3[/tex]
And the number that accompanies j ([tex]b[/tex]) is the component of the vector in the y-axis, in this case 5:
[tex]b = 5[/tex]
thus, the result is is:
[tex]v=-3i+5j[/tex]
You have 1200 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in
half. What are the largest dimensions of this enclosure that you could build?
Let x = length and y = width
You would have 2 lengths, so 2x and 3 widths, so 3y
Those need to equal total length of fence:
2x + 3y = 1200
The 3 widths would equal total fence minus the 2 lengths:
3Y = 1200-2x
Solve for y: y = 400 -2/3x
Area = length x width = xy. Replace y :
Area = x(400-2/3x) = 400x-2/3x^2
Differentiate:
400-4x/3 =0
4x/3 = 400
4x = 1200
X = 300
Y = 400-2/3(300) = 200
The dimension would be 300 ft x 200 ft
Given the equation,D=m/v if D=6/7 and =m+3 then m=.
Answer:
[tex]m=18[/tex]
Step-by-step explanation:
The equation given is [tex]D=\frac{m}{v}[/tex]
and also we have that [tex]D=\frac{6}{7}[/tex], thus:
[tex]\frac{6}{7}=\frac{m}{v}[/tex]
------------
I think the question is missing which variable is defined as [tex]=m+3[/tex], so I will solve for [tex]v=m+3[/tex] since is the only other variable in the equation.
substituting [tex]v=m+3[/tex] into [tex]\frac{6}{7}=\frac{m}{v}[/tex]:
[tex]\frac{6}{7}=\frac{m}{m+3}[/tex]
and we solve for m:
[tex](m+3)(6)=7m\\6m+18=7m\\18=7m-6m\\18=m[/tex]
m is equal to 18.
You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point
Answer: 48 miles
Because north is straight from the starting point and you traveled 48 miles north so 48
Answer:
50 miles
Step-by-step explanation:
If you draw the shape
you'll roughly get the above mentioned one..
so it's a right angle triangle now
using Pythagoras relationship
48^2+14^2=x^2
2304+196=x^2
2500=x^2
x= 50
straight line distance aka displacement is 50 miles
Tell whether each outcome is impossible, unlikely, as
likely as not, likely, or certain. Then write the probability
in simplest form.
1.choosing a red crayon from a box of 24 different colored
crayons, including 8 red crayons
Answer: likely, pls mark me as brainliest if it helped u
Step-by-step explanation: