Answer:
Step-by-step explanation:x=π2,3π2
Explanation:
This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒
2
x
=
−
3
and
sin
2
x
=
1
⇒
sin
x
=
√
−
3
and
sin
x
=
√
1
⇒
sin
x
=
∅
and
sin
x
=
±
1
⇒
x
=
π
2
,
3
π
2
Hopefully this helps!
The graph below represents data that was collected by students on the
number of social media posts they made the previous day.
SOCIAL MEDIA POSTS
umber of Students)
2
g
Question: what was the mean number of posts made?
The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.
The graph below represents data that was collected by students on the number of social media posts they made the previous day.
Then the mean will be
The sum of the observation will be
Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3
Observation sum = 20
Then the mean will be
Mean = 20/8
Mean = 2.5
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Mick recently had new carpet installed. the cost of the carpet including installation was $8.14 per square foot before any discounts. the rectangular room he had carpeted measured 24 feet long and 18 feet wide. if mick actually paid $3,235.16, what discount percentage did he receive? assume there are no taxes.
Answer:
8%
Step-by-step explanation:
Let’s first determine the cost before any discount.
To do so, we first need to determine the area to be carpeted:
Area of Rectangle = Length × Width = 24 ft × 18 ft = 432 square feet.
To find the cost before discount we need to multiply the area by the cost per square foot:
Cost Before Discount = Area × Cost per square foot
Cost Before Discount = 432 square feet × $8.14 per square foot
Cost Before Discount = $3,516.48
We can now determine the discount percentage he received:
Cost After Discount = Cost Before Discount − (Discount % × Cost Before Disc.)
$3,235.16 = $3,516.48 – (Discount % × $3,516.48)
To solve, it is easiest to plug in each answer to see which discount percentage is the correct solution (i.e. “work backwards” from the given answers) or use the equation solver on our calculator.
We find that a discount of 8% is the correct solution.
If you instead prefer to use algebra to solve for the discount percentage, here are the steps.
We will rewrite the equation, using x to represent “Discount %”.
$3,235.16 = $3,516.48 − (x × $3,516.48)
$3,235.16 = $3,516.48 − $3,516.48x
Factoring out $3,516.48 we have:
$3,235.16 = $3,516.48(1 − x)
Note: Once you get comfortable with this type of problem you should skip straight to the step above.
Dividing both sides by $3,516.48 we have:
$3,235.16$3,516.48=1−x
0.92 = 1 − x
x = 0.08 = 8%
The triangle below is equilateral. Find the length of side X in simplest radical form with a rational denominator.
Answer:
kinda hard
Step-by-step explanation:
h² = c² + c²
([tex]\sqrt{11}[/tex])² = ([tex]\sqrt{11}[/tex]/2)² + x²
x² = ([tex]\sqrt{11}[/tex])² - ([tex]\sqrt{11}[/tex]/2)²
answer: x = [tex]\sqrt{11}[/tex] - [tex]\sqrt{11}[/tex]/2
find the value of H in this angle. check the attachment on top.
Answer:
133
Step-by-step explanation:
Line PYF is straight. Therefore, its angle measures 180°. One of the angles is 95°. The other angle measures (h-48)°.
Based on this info, we can form an equation:
95°+h°-48° = 180°
h°-48° = 180°-95°
h = 85°+48°
h = 133°
Hence, the value of h is 133°.
Hope this helps!!!
Please give me brainliest!!!
What is the median of the data?
20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
18
15
O 17
016
median = the middle number {always remember this}.
To find the median of a set of numbers we arrange that set of numbers either in ascending order (smallest to biggest value) or in descending order ( biggest to smallest value).
so we are given :
20, 19, 13 , 23, 16, 15 , 17, 17, 15 , 15, 22, 19, .
we rearrange in ascending order (I chose ascending order).
Soo...
13, 15, 15, 15, 16, 17, 17 , 19, 19, 20, 22, 23.
so we cancel out (we cancel out left number, right number)
I mean
cancel out 13, cancel out 23
cancel out 15, cancel out 22
cancel out 15, cancel out 20 and so on.....
after that we will be left with 2 numbers which are 17 and 17.
NOTE: ( if we get 2 numbers instead of 1, then we add those 2 numbers and divide by 2)
so...
17 + 17 = 34
34/2 = 17.
the median of the set of numbers is equal to 17.
Hope this helps.
Good luck ✅.
THE IMAGE OF TRIANGLE ABC AFTER A 180 DEGREE ROTATION THE ORIGIN IS
The image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
If we rotate the triangle ABC with the origin (0, 0) about 180 degree it will form an image of the triangle ABC which is A'B'C'
Here the coordinates for ABC are not given so we are assuming the triangle ABC has a image which is A'B'C' (refer attached picture)
Thus, the image of triangle ABC is a A'B'C' after rotating about the origin with an angle of 180 degree.
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Match each problem with its solution.
200
6
5
15
Jason is a party planner. In 124 packages, he has a total
of 1,860 balloons. If each package has the same number
of balloons, how many balloons are there in each package?
arrowRight
A plane has to travel 2,800 miles at an average speed of
560 miles per hour. How many hours will it take to reach
its destination?
arrowRight
An adult seal at a marine park consumes 2,400 kilograms
of food in one year. If it consumes the same amount of
food every month, how many kilograms of food does the
seal consume per month?
arrowRight
Andy and his roommates consume 180 bottles of orange
juice in 30 days. If they consume the same amount of
orange juice each day, how many bottles of orange juice
do they consume each day?
please let me know if you have an answer
The number of balloons on each package will be 15
How to calculate the problems?From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.
Therefore, the number of balloons on each package will be:
= 1860 / 124
= 15
When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:
= 2800/560
= 5
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solve for x in the triangle. Round to the nearest tenth
Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection. what is the total number of masks in emma's collection?
Answer:
262 Masks
Step-by-step explanation:
190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.
The total number of masks in Emma's collection is 262 Masks.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.
The total number of masks will be calculated as,
190×0.38=72.2
But there cannot be 0.2 masks so it becomes 72.
Total mask = 190+72
Total mask =262.
Therefore, the total number of masks in Emma's collection is 262 Masks.
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Find a number “a so that the numbers 42, 46, a, a, a have a mean and mode both equal.
Answer:
44
Step-by-step explanation:
The mode will be a as it is the most in frequency.
Calculating 'a' by taking the mean
42 + 46 + a + a + a / 5 = a88 + 3a = 5a2a = 88a = 44The graph of f(x) = x2 was transformed to create the graph of g(x) = (2x)2 – 4. Which of these describes the transformation from the graph of f to the graph of g?
Answer:
A. Horizontal Stretch and vertical shift down 4
Step-by-step explanation:
When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.
2 is greater than 1 so its a horizontal stretch.
When there is a number outside of the () then that number determines how high or how low you go depending on the sign.
Our number is -4 so we go down 4.
Please help ASAP! Solve for 4
pleas send help this is due today
Answer:
y = -3x
Step-by-step explanation:
Equation of the line going through the origin: y = mx
Substitute any point in the above equation.
Here, Chosen point( 1 ,-3)
-3 = m*1
m = -3
Equation of the line: y = -3x
The store opened at 8:15 a.m. and closed at 11:45 p.m. how long was the store opened?
Answer:
3 hours and 30 minutes
Step-by-step explanation:
8:15+3=11:15
11:15+30=11:45
Answer:
15 hr 30 min
Step-by-step explanation:
8:15 - 9 am = 45 min
9 am to 11 pm = 14 hours
11pm - 11:45 pm = 45 min
90 min = 1 hr 30 min
14 hr + 1 hr 30 min = 15 hr 30 min
Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. their responses are shown in the table below. national parks favorite park number of students acadia 19 carlsbad caverns 14 rocky mountain 30 grand canyon 23 yosemite 14 using proportional reasoning, about how many students out of the 1,500 would you expect to pick yosemite for their favorite national park? 14 86 210 244
Answer:
210
Step-by-step explanation:
the sample is one 15th of the total population, and thus Yosemite's 14 should be scaled back by 15
1500/100 = 15
15 * 14 = 210
Answer:
210
Step-by-step explanation:
I did the test
quick timer
Consider the pattern below.
5+5/3+5/9+5/27+5/81
What does this pattern represent?
O an arithmetic series
O an arithmetic sequence
a geometric series
O a geometric sequence
Answer:
C
Step-by-step explanation:
A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
Answer:
12 meters = 12000 mmStep-by-step explanation:
A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?
12 meters = 12000 mm
(1m = 1000 mm)
12 * 1000 = 12000
6 + 33 divided by 9 what is it
Answer:
I think its 4.9
Step-by-step explanation:
i used a calculator
Answer:
6+33/9 ≈ 9.67
Step-by-step explanation:
first you have to divide 33 by 9 getting roughly 3.67
once you have that u add 6
roughly giving you 9.67
Find the range of the data.
41, 64, 97, 12, 8, 8
Answer:
89
Step-by-step explanation:
How do you find the range of a data set?first put you're data set from lowest to highest, then subtract your highest by your lowest valueData:8, 8, 12, 41, 64, 97
We can clearly see that our highest value is 97, and our lowest in 8.
97 - 8 = 89Hence our range of data is 89.I will mark brainliest!!!
What is the slope?
A. 3/2
B. 1/2
C. 3/4
D. 2/3
HELP ME PLEASE IVE BEEN STRUGGLING WITH THIS FOR SO LONG
Answer:
m∠ACE = 90°Step-by-step explanation:
Figure Interpretation:
m∠CBA + m∠CDE = 180
m∠BCA = (180-m∠CBA)/2
m∠DCE = (180-m∠CDE)/2
=======================
Then
m∠BCA + m∠DCE = (180-m∠CBA)/2 + (180-m∠CDE)/2
= [360-(m∠CBA+m∠CDE)]/2
= [360 - 180]/2
= 90
finally,
m∠ACE= 180 - (m∠BCA + m∠DCE)
= 180 - 90
= 90
Pythagorean Theorem (Radical Answers)
May 12, 8:47:08 AM
Find the length of the third side. If necessary, write in simplest radical form.
7
412
8
c=√a2+b2 I really hope this helps
(50 points) The points show the locations of different stores in a mall. Each unit represents 1 meter
Answer:
5.1m
Step-by-step explanation:
Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]
=5.1
Answer:
5.1 meters
Step-by-step explanation:
To Know :
Coordinates of Clothing Store = (5, -6)Coordinates of Music Store = (0, -5)Applying Distance Formula :
Distance = √(0 - 5)² + (-5 + 6)²Distance = √(-5)² + (1)²Distance = √25 + 1Distance = √26 metersDistance = 5.1 metersFind the value of k so that the remainder is 2 for (x^4- 12x^3+3x^2– kx - 4) = (x+1).
Answer:
the answer is k=-4 hope this helps
What binomial do you have to add to the polynomial 2x^2+3y^2-5xy+1 to get the following?
a polynomial that does not contain the variable y
Answer:
-3y^2+5xy
Step-by-step explanation: Just cancel out all of the numbers with the variable "y"
Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives polynomial that does not contain the variable y .
What is binomial?A mathematical expression consisting of two terms connected by a plus sign or minus sign .
Example: x + 2 is a binomial, where x and 2 are two separate terms.
What is polynomial?A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer
According to the question
polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex]
when added with [tex]-3y^{2}+5xy[/tex]
= [tex]2x^{2}+1[/tex] (as [tex]3y^{2} -5xy[/tex] got cancelled )
that does not contain the variable y
Hence, Binomial [tex]-3y^{2}+5xy[/tex] when added to polynomial [tex]2x^{2} +3y^{2} -5xy+1[/tex] gives that does not contain the variable y .
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Find the circumference of a circle whose radius is 16. Leave your answer in terms of π.
Answer:
32π
Step-by-step explanation:
The equation for the circumference of a circle is as follows:
C = 2 π r
Since r = 16:
C = 2 π (16) = 32π
what is the area, in square centimeters, of the isosceles trapezoid below?
Answer:
65.28
Step-by-step explanation:
1/2 × (15.2+5.2) × 6.4 = 65.28
hope this helps ;)
1. a motor car race is 500 miles long and consists of completing laps of a circular speedway
that has a circumference of 2.5 miles. for which of these functions does y represent the
number of miles a motor car has left to go in the race if x represent the number of laps
completed by the motor car?
a. y = -2.5x -500
b. y = -2.5x + 500
c. y = 2.5x -500
d. y = 2.5x + 500
The function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long, option (d) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
y represents the number of miles a motor car has left to go in the race
x represents the number of laps completed by the motor car
The total number of miles if we consider only circular speedways = 2.5x
The total number of miles:
y = 2.5x + 500 (because 500 is the constant)
Thus, the function y = 2.5x + 500 represents the total number of miles if the motor car race is 500 miles long option (d) is correct.
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please hepl will give brainly, 30 points
Answer:
∠G = 53°
∠H = 90°
∠I = 37°
Step-by-step explanation:
∠H = 90° because it is a right angle and all right angles = 90°
The sum of all angles in a triangle = 180°
∠H + ∠G + ∠I = 180°
90° + (5x - 7)° + (3x + 1)° = 180°
5x - 7 + 3x + 1 = 90° Subtract 90° from both sides
8x - 6 = 90 Adding like terms
8x = 96 Adding 6 to both sides
x = 12 Dividing both sides by 8
Now solve for ∠G and ∠I using 12 as the value for x
∠G = (5x - 7)° ∠I = (3x + 1)°
∠G = 5·12 - 7 ∠I = 3·12 + 1
∠G = 53° ∠I = 37°
Multiplication and dvision which number sentence is true? a. b. c. d.
b. and d.
Step-by-step explanation:
the sentence is true
