Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
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write the simplest polynomial function with the given zeros 2 √2, √5 and -3
Answer:
A. P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Step-by-step explanation:
With the given zero's, the polynomial is:
P(x) = (x - 2√2)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2)(x - √5) = x² - (2√2 + √5)x + 2√10 = x² - 2x√2 - x√5 + 2√10
2. (x² - 2x√2 - x√5 + 2√10)(x + 3) =
x³ - 2√2x² - √5x² + 2√10x + 3x² - 6√2x - 3√5x + 6√10 =
x³ + 3x² - 2x²√2 - x²√5 - 6x√2 - 3x√5 + 2x√10 + 6√10
This is not matching any options so we add two more zero's: -2√2 and -√5
New polynomial looks like:
P(x) = (x - 2√2) (x + 2√2)( x - √5)(x - √5)(x + 3)Open parenthesis in steps:
1. (x - 2√2) (x + 2√2) = x² - 82. (x - √5) (x + √5) = x² - 53. (x² - 8)(x² - 5) = x⁴ - 8x² - 5x² + 40 = x⁴ - 13x² + 404. (x⁴ - 13x² + 40)(x + 3) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120P(x) = x⁵ + 3x⁴ - 13x³ - 39x² + 40x + 120Z=8-i ^ w=12+3i, entonces ZxW, es:
a) 99-12i
b)93+12i
c)99+12i
d)93-12i
Necesito ayuda urgente!!
Answer:
21
Step-by-step explanation:
The model below represents an equation. IN Which represent like terms in the model of the equation? and and T Save and Exit Next Mark this and return Ei O Type here to search NEWD HELP ASAP PLSSS
Answer:
x x x and 1 1 1
Step-by-step explanation:
3rd option is the correct answer.
of all the trees planted last year by a landscaping firm, only 1 in 10 trees died within a month. suppose a new landscaping firm is hired to plant 15 new trees. Let X denote the number of trees planted out of the 15 that died.
What is the lowest value of X that is consistent with the belief that the tree died due to mishandling?
The number of trees that died is an illustration of proportions.
The lowest value of X that is consistent with the belief that the tree died due to mishandling is 1.5
From the question, we have: 1 out of 10 died
This means that, the mean number of trees that died are:
[tex]\mathbf{\bar x =\frac{1}{10}}[/tex]
In 15 trees, the number (n) of trees expected to die is:
[tex]\mathbf{n = \bar x \times 15}[/tex]
So, we have:
[tex]\mathbf{n = \frac{1}{10} \times 15}[/tex]
[tex]\mathbf{n = 1.5}[/tex]
Hence, the lowest value of X is 1.5
Read more about mean and proportions at:
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A receptionist setting up tables for an event used 5 round tables and 2 rectangular tables.
Write a ratio that compares the number of round tables to the number of rectangular tables.
I
Answer:
5:2
or
5 to 2
or
5/2
Step-by-step explanation:
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
rectangular equation for the curve whose parametric equations are x = 2cosθ, y = cos2θ.
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
In this question, we have a set of parametric equation which must be reduced into a single rectangular equation both by algebraic and trigonometric means, that is to say:
[tex]x = f(\theta), y = g(\theta) \to y = h(x)[/tex]
If we know that [tex]x = 2\cdot \cos \theta[/tex] and [tex]y = \cos 2\theta[/tex], then the rectangular equation is:
[tex]y = \cos 2\theta[/tex]
[tex]y = \cos^{2}\theta - \sin^{2}\theta[/tex]
[tex]y = 2\cdot \cos^{2}\theta -1[/tex]
[tex]\cos \theta = \frac{x}{2}[/tex]
[tex]y = 2\cdot \left(\frac{x}{2} \right)^{2}-1[/tex]
[tex]y = \frac{x^{2}}{2} -1[/tex]
The rectangular equation for the curve is [tex]y = \frac{x^{2}}{2} -1[/tex].
We kindly invite to check this question on parametric equations: https://brainly.com/question/23070611
Write three expressions that are equivalent to 8x + 16.
Answer:
1. 2(4x + 8)
2. 8(x +2)
3. 4(2x +4)
Step-by-step explanation:
You can check by using the distributive property!
For instance:
2 (4x +8)
2 · 4x = 8x
2 · 8 = 16
= 8x + 16
8(x +2)
8 · x = 8x
8 · 2 =16
= 8x + 16
4(2x +4)
4 · 2x = 8x
4 · 4 =16
= 8x + 16
Hope this is helpful! Let me know if you have any more questions :D
The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have.
Which of the following are categorical (or qualitative) variables in these records?
Current Grade Level
Mathematics Test Score
Disabilities or Special Needs
Reading Test Score
Days Absent
Age
Race or Ethnicity
Answer:
Disabilities or Special Needs, Race or Ethnicity
Step-by-step explanation:
these are categories, while the rest are numbers
According to the given data, the categorical (or qualitative) variables are Disabilities or Special Needs, Race or Ethnicity.
What is categorical (qualitative) variables?A qualitative variable is a categorical variable which is not numerical, it is based on quality that describes the characteristic of an individual.
What is Disability or Special Need?"In clinical diagnostic and functional development, special needs refers to individuals who require assistance for disabilities that may be medical, mental, or psychological."
What is Race?"The belief that some races of people are better than others; unfair ways of treating people of different races"
What is Ethnicity?"An ethnic group or an ethnicity is a grouping of people who identify with each other on the basis of shared attributes that distinguish them from other groups."
As we know each discussed variable Disability or Special Needs, Race, and Ethnicity describes the characteristics of an individual. Hence, Disabilities or Special Needs, Race or Ethnicity are the qualitative variables.
To learn more about qualitative variables here
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what is 3/5 x 7/9 equivalent to 3/5 divided by 7/9
Step-by-step explanation:
It's 27/35, so 27/1 * 1/35
Answer:
0.31 (correct me if I'm wrong)
Step-by-step explanation:
3/5*7/9=0.463/5 divided by 7/9=0.770.77-0.46=0.31Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answer:
the answer is negative two / x= -2
_________
[tex] \: [/tex]
[tex] \rm3(2x - 5) - (2x - 5 ) = 6(4x + 5)[/tex]
[tex] \rm6x - 15 - 2x - 5 = 24x + 30[/tex]
[tex] \rm4x - 20 = 24x + 30[/tex]
[tex] \rm4x - 24x = 30 + 20[/tex]
[tex] \rm - 20x = 50[/tex]
[tex] \rm \: x = \frac{50}{ - 20} [/tex]
[tex] \rm \: x = \boxed{ - 2 \frac{1}{2} }[/tex]
0.25555555 as a fraction
Answer:
23/90
Step-by-step explanation:Sorry if it's wrong!!!
please help.... fast
Answer:
Napakadali lang sagutin nyan pre basic mangiba naman dapat Ang sagot ay SAS hopefully all
Austin and his wife go out to dinner. Their bill is $59.36. They want to leave a 19%
tip, and there is a sales tax of 5.5%. What is the final amount they will pay?
$62.62
$73.90
$74.49
$70.64
Answer:
The final amount they will pay is $74.49
Step-by-step explanation:
59.36(Check)*0.19(19% tip rate)=11.27
59.36+11.27=70.62 Check+Tip
70.62(Check total)*0.055(5.5% tax)=3.87
70.62+3.87=74.49 Total check, tip & tax
I need help, please.
[tex]p = 2(l + w) = 2.(15 + 12) = 54 cm[/tex]
UWUWUWUWIWUWUWUUWWUWUWUUWWUUWUWWUUWUWUWWUUWU2UWUWUWUWUWUWUWUWUWUUWUWUWU
Answer:
UWUWUWUUWUWUWUWUUWUWUW
Step-by-step explanation:
UwU OwO
PLEASE HELP ASAP
If 4
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Answer: I'm not sure how to interpret "If 4 (A) between 5/8 and 4/5." If the sentence was supposed to read:
"Is 4:
(A) between 5/8 and 4/5
(B) between 1 and 2
(C) between 0 and 2
(D) between 1/2 and 1
(E) cannot be determined
Step-by-step explanation: If this is the correctly rewritten question, then the answer is NO to all the options. If I have misinterpreted the question, please clarify.
Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answer:
h= 17.67 cm
Step-by-step explanation:
We have,
h=x
b=16 cm
p=7.5cm
Using Pythagoras Theorem,
h^2=p^2+b^2
h=√(7.5^2+16^2)
h=√(56.25+256)
h=√312.25
h=17.6705970471 cm
Under his cell phone plan, Alonso pays a flat cost of $53.50 per month and $3 per gigabyte. He wants to keep his bill at $59.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Alonso can use while staying within his budget.
Answer:
Alonso can use 2.1 gigabytes while staying within his budget.
Step-by-step explanation:
53.50 + 3x = 59.80
3x = 59.80 - 53.50
3x = 6.3
x = 6.3 ÷ 3
x = 2.1
Alonso can use 2.1 gigabytes while staying within his budget.
Please answer this question!!
14)
Tammy uses 6 inches of wire to make a necklace and 3 inches of wire to make a
bracelet. How many necklace and bracelet sets can she make if she uses 28 inches of
wire in all?
Answer:
3 sets
Step-by-step explanation:
6+3 = 9 inches of wire
28/9 = 3 1/9
so 9 can go into 28 three times
so tammy can make three sets of neclaces and bracelets
need help with this algebra ii question
Vertex form: y = |x - h| + k
Vertex = (h, k)
G(x) was shifted 3 to the right and up 2.
G(x) = |x - 3| + 2
Hope this helps!! :)
If f ( x ) is a linear function, f ( − 1 ) = 2 , and f ( 5 ) = − 5 , find an equation for f ( x ) . f ( x ) =__
show your work!
Step-by-step explanation:
Let's first find the slope
(-5-2)/(5--1) = -7/6
the equation should be
[tex]y = \frac{ - 7}{6} x + c[/tex]
To find c, we replace X with -1 and Y with 2
c= 5/6
So the equation is
[tex]y = \frac{ - 7}{6} x + \frac{5}{6} [/tex]
And if you multiply everything by 6 you get
6y = -7x +5
What are the domain and range of the function below?
A. Domain: (-∞,-5)
Range: (5,∞)
B. Domain = (-∞,∞)
Range: (-10,5)
C. Domain: (-5,10)
Range: (-10,5)
D. Domain: (-∞,∞)
Range: (-∞,∞)
Answer:
D
Step-by-step explanation:
the graphic does not indicate any limitation in any form in any direction.
compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.
Is this sequence arithmetic? (Hint: determine if there is a common difference)
7, 18, 29, 40
A) yes
B) no
Find the least common denominator of the two fractions 3/4 over 1/6?
Answer:
(2/12 & 9/12)
Step-by-step explanation:
12 is the least common denominator for the fractions, so they must be rewritten to have the same denominator, but hold the same value.
( not written by me )
can anyone help me pls asap
polygon
quadrilateral
triangle
rectangle
hexagon
hexagon
octagon
square or parallelogram
trapezoid
square
heptagon
decagon
gon, gon, the gons mason, what do the gons mean.
NO LINKS!!! Hyperbola: y = 1/x
Shape:
Domain:
Range:
Locater point:
Asymptotes:
Hyperbola: y = 1/x
--------------------------------
Shape: open curve with two branches
Domain: Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)
Range: Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)
Locater point: Imaginary point of intersection of asymptotes (0, 0)
Asymptotes: x = 0 and y = 0
ACME insurance company estimates that the probability of the owners’ of a house worth between $120,000 to $170,000 making a claim for $5000 is 0.08, and that the probability of the house and contents being totally destroyed is 0.0041. Should that tragedy happen, the company will have to pay $150,000. The company charges $1300 for the insurance policy.
What is the expected value of this policy to the insurance company?
Round your answer to two decimal places.
The expected value of this policy to the insurance company is $285.00.
Using this formula
Policy expected value=Insurance policy charges-[(Probability × Claim)+(Probability × Claim)]
Let plug in the formula
Policy expected value=$1,300-{(.0041)($150,000)+(.08)($5,000)]
Policy expected value=$1,300-($615+$$400)
Policy expected value=$1,300-$1,015
Policy expected value=$285.00
Inconclusion the expected value of this policy to the insurance company is $285.00
Learn more here:
https://brainly.com/question/19819099
Help me, it's urgent
Answer:
a) 2.4 b) 2, -3
Step-by-step explanation:
sorry I only know a and b since yea