Answer:
14x-4 - (3x-2) - (5x+3) =
14x - 4 - 3x + 2 -5x - 3 =
6x - 5
check let x=1. Then the perimeter is 10 and
the 2 sides are 1 and 8. That leaves 1 for the
3rd side and 6(1)-5 = 1, so it checks.
Step-by-step explanation:
PLEASE HELP
HELPP!!!!
Answer:
Equilateral, Isosceles, Scalene, Scalene, 1,620°, 102°
Step-by-step explanation:
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earrings "m" to the number of hours "h" she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? For 4.5 hours?
Answer:
Step-by-step explanation:
28.50/3=9.50 dollars per hour
y=9.50h
Trina earns $19.00 for 2 hours
Trina earns $42.75 for 4.5 hours
Answer:
If Trina earns $28.50 in 3 hours, that means she earns $9.50 per hour.
9.50h = m ---> earnings = 9.50 x hours
2 hours = 9.50 ( 2) = $19
4.5 hours = 9.50 ( 4) = $42.75
Step-by-step explanation:
which of the following is equal to 11-2?
112
121
-121
1/112
Answer:
112
Step-by-step explanation:
Solve 12x + 6 2 9x + 12.
A. X2
B. xs2
O
C. X26
0
D. Xs6
SUBNANT
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A random sample of 5 homes in Newberry, Florida had a mean of $169,900 and a standard deviation of $21,756. Construct a 95% confidence interval for the average home of this size in Newberry.
A. (144885.25, 194914.75).
B. (150440.842, 189359.16).
C. (150830, 188969.98).
D. (142886, 196914).
Answer:
D. (142886, 196914).
Step-by-step explanation:
To solve for this question, we would use t score instead of z score. The reason is because, our sample size is small.
The formula for Confidence Interval =
C.I = Mean ± t score × standard deviation/√n
n = 5 samples
Degrees of freedom = n - 1 = 5 - 1 = 4
The t score for a 95% confidence interval with degrees of freedom 5 is : 2.776
Hence,
Confidence Interval =
169,900 ± 2.776 × 21,756/√5
169,900 ± 2.776 × 9.7295789837
169, 900 ± 27009.311259
Confidence Interval
169,900 - 27009
= 142886
169, 900 + 27009.311259
= 196914
Hence, the confidence interval = (142886, 196914)
Option D is the correct answer
Using the t-distribution, it is found that the 95% confidence interval for the average price of a home of this size in Newberry is of (142886, 196914), given by option D.
In this problem, we have the standard deviation for the sample, thus, the t-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 169900[/tex].The sample standard deviation is [tex]s = 21756[/tex].The sample size is [tex]n = 5[/tex]First, we find the number of degrees of freedom, which is the sample size subtracted by 1, so df = 5 - 1 = 4.
Then, we find the critical value for the 95% confidence interval with 4 df, which looking at the t-table or using a calculator is given by t = 2.7765.
The margin of error is:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
In this case:
[tex]M = 2.7765\frac{21756}{\sqrt{5}} = 27014[/tex]
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
Then
[tex]\overline{x} - M = 169900 - 27014 = 142,886[/tex].
[tex]\overline{x} + M = 169900 + 27014 = 196,914[/tex].
Thus, the correct option is D. (142886, 196914).
A similar problem is given at https://brainly.com/question/15180581
Which equation matches the function described in Table
Answer:
The answer is A
Step-by-step explanation:
A because it's simply adding by 4 on the right-hand side.
According to the law of reflection, if the angle of incidence of an incoming ray
of light hitting a mirror is 46°, what is the angle of reflection for the same ray
leaving the mirror?
O A. 180°
O B. 46
O C. 44
O D. 134°
Answer:
B. 46°
Step-by-step explanation:
[tex] \underline{ \bf{LAWS \: OF \: REFLECTION}}[/tex]
Angle of reflection (angle between reflected ray and the normal to the reflecting surface) equals to the angle of incidence (angle between incident ray and normal).[tex] \boxed{\bf{\angle i = \angle r}} [/tex]
The incident ray, reflected ray lie in the same plane with normal to the reflecting surface.Here, if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°.
What is the law of reflection?We know that according to the law of reflection, the angle of incidence and the angle of reflection are equal whenever a light ray reflects off a surface.
How to solve this problem?Here the angle of incidence of an incoming ray of light hitting a mirror = 46°
Using the law of reflection, we can conclude that the angle of reflection = 46°
Therefore if the angle of incidence of an incoming ray of light hitting a mirror is 46°, then the angle of reflection for the same ray leaving the mirror is also 46°. So, option B is correct.
Learn more about the law of reflection here -
https://brainly.com/question/10638925
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A teacher spends 5/6
hour grading 3/5
of a student’s essay. At this rate, how long does it take the teacher to grade the student’s entire essay?
e length of a rectangle is five times its width. If the area of the rectangle is 320in, find its perimeter.
Answer:
Step-by-step explanation:
Let width of rectangle =X
So length=5x
Given area of rectangle =320inch
Area of rectangle =length ×width
Length×width=320
5X×X=320
5x^2=320
x^2=320/5
x^2=64
So X=√64
Width x= 8inch
Length 5x=5×8
= 40 inch
Perimeter of rectangle =2(length+width)
=2(40+8)
=2(48)
=96inch
(30 points!) list the angles least to greatest
Answer:
Step-by-step explanation:
A
Suppose a local pizzeria delivers pizzas every day of the week and their delivery times are normally distributed with a mean of 30 minutes with a standard deviation of 4 minutes. Determine the interval that contains the middle 80% of delivery times.
Answer:
interval in minutes = (24.88, 35.12)
Step-by-step explanation:
we can use the following formula:
interval = population mean ± (z · σ)
population mean = 30 minutesz for 80% = 1.28σ = 4 minutesinterval = 30 minutes ± (1.28 · 4 minutes)
interval in minutes = (30 - 5.12), (30 + 5.12) = (24.88, 35.12)
If there are 12 inches in a foot, how many inches are in 64 feet?
Answer:
768
Step-by-step explanation:
64*12
Answer:
768
Step-by-step explanation:
12x64=768
are these answers correct
Answer:
yes they r
Step-by-step explanation:
................... .
True or False please ❗️
Answer:
true
Step-by-step explanation:
Answer:
It might be a trick question but if not, it is false.
Step-by-step explanation:
If you look closely you can see that L' is 4 units above the x-axis and not 3.
please help me :(((((
Answer:
,hbdgyhy6jyiwci7oygiuhopuoyiudysrtaehsyrdutfihipj
Step-by-step explanation:
yugd oufygp8iuhyefyif hovujm
Find the 114th term of the following sequence
4, 8, 12, 16, 20...
Please show all the steps
Will give maximum points please help. Please please please show ALL steps.
Step-by-step explanation:
This is known as ARIMETHIC PROGRESSION.
Hope this is correct and helpful
HAVE A GOOD DAY!
easy middle school math problem
Look at image please help me ASAP
the graph shows polynomial function
choose all of the zeros Asap
Answer:
G + J + C ....................................
Need help ASAP please This is actually confusing
Answer:
the first one is false and
the second one is false
Answer:
i think it is true fals true ture fals
Step-by-step explanation:
but if it is not dont be mad im not good ate math but i still like to try to help pepole when they need it like they woud do for me
Show all work to factor x^4 − 17x^2 + 16 completely.
I think I have to use completing the square or something but i don't know how
Answer:
[tex]x^{4}-17x^{2} +16[/tex] = (x -1)(x + 1)(x - 4)(x + 4)
Step-by-step explanation:
At first, let us find the first two factors of [tex]x^{4}-17x^{2} +16[/tex]
∵ The sign of the last term is positive
∴ The middle signs of the two factors are the same
∵ The sign of the middle term is negative
∴ The middle signs of the two factors are negative
∵ [tex]x^{4}[/tex] = x² × x² ⇒ first terms of the two factors
∵ 16 = -1 × -16 ⇒ second terms of the two factors
∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term
∴ (x² - 1) and (x² - 16) are the factors of [tex]x^{4}-17x^{2} +16[/tex]
Now let us factorize each factor
→ The factors of the binomial a² - b² (difference of two squares) are
(a - b) and (a + b)
∵ x² - 1 is the difference of two squares
∴ Its factors are (x - 1) and (x + 1)
∵ x² - 16 is the difference of two squares
∴ Its factors are (x - 4) and (x + 4)
∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)
∵ (x² - 1) and (x² - 16) are the factors of [tex]x^{4}-17x^{2} +16[/tex]
∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of [tex]x^{4}-17x^{2} +16[/tex]
∴ [tex]x^{4}-17x^{2} +16[/tex] = (x -1)(x + 1)(x - 4)(x + 4)
Factoring an expression involves rewriting the expression in simpler forms
The factorized expression is (x - 4)(x + 4)(x - 1)(x + 1)
The expression is given as:
[tex]\mathbf{x^4 - 17x^2 + 16}[/tex]
Express 17 as 1 + 16
[tex]\mathbf{x^4 - 17x^2 + 16 = x^4 - x^2 - 16x^2 + 16}[/tex]
Factorize
[tex]\mathbf{x^4 - 17x^2 + 16 = x^2(x^2 - 1) - 16(x^2 - 1)}[/tex]
Factor out x^2 - 1
[tex]\mathbf{x^4 - 17x^2 + 16 =(x^2 - 16)(x^2 - 1)}[/tex]
Express 16 as 4^2, and 1 as 1^2
[tex]\mathbf{x^4 - 17x^2 + 16 =(x^2 - 4^2)(x^2 - 1^2)}[/tex]
Apply difference of two squares
[tex]\mathbf{x^4 - 17x^2 + 16 =(x - 4)(x + 4)(x - 1)(x + 1)}[/tex]
Hence, the factorized expression is (x - 4)(x + 4)(x - 1)(x + 1)
Read more about factoring expressions at:
https://brainly.com/question/19386208
In the diagram, lines m and n are parallel. What is the measure of w?
Answer:
35 degrees
Pleaase seek help u need to be smarter than this giv me brainilest
25
50
75
100
y
5
10
15
20
Write an equation to represent the proportional relationship.
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
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Need help with this math problem. Look at the picture.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {3}^{4} \times {v}^{2 \times 4} }{ {w}^{4 \times 4} } = \frac{81 {v}^{8} }{ {w}^{16} } \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the length of AC?
Please help and leave a small explanation if u want brainliest :)
Answer:
B is true
Step-by-step explanation:
ratio of all corresponding sides are equal
Answer:
B) Triangle ABC is similar to triangle EFG
Step-by-step explanation:
they are similar eve tho they are not the same size. But they arnt congrent cause they are diffrent sizes.
5.
To make 1 pitcher of lemonade, Joel used 2 cups of lemon
juice and 5 cups of water. Which fraction shows the ratio
of cups of lemon juice to cups of water used in each
pitcher of lemonade?
Answer:
2/5
Step-by-step explanation:
2 cups of lemon juice to 5 cups of water.
Mrs. Daiz has 9 eggs. She cooks 5 how mich left
Answer:
You have for uncooked eggs left.
Step-by-step explanation:
9 (total amount of eggs) - 5 (eggs left after she cooks) = 4 eggs cooked.
Solve 8x+ c = k for x.
A. X = 8(6+C
B. X
kic
8
C. = 818-C)
D. *E
K-c
8
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal
Answer:
here
Step-by-step explanation:
Alex is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. ... Triangle PQR has vertex P on line n and vertices Q and R on line m. Angle QPR is 80 degrees. Segment PQ makes 40 degrees angle with line n and segment PR makes 60 degrees angle with line n.
Answer:
Angle PQR measures 40 degrees
Step-by-step explanation:
No explanation took the test got it right.
Little late but, oh well, better late than never.