Answer:
The average was 259.24 in 1996.
Step-by-step explanation:
In order to find the year that the average, "y", is 259.24 we need to apply this value on the given expression, as done below:
[tex]259.24 = 0.15*x + 255.34\\0.15*x = 259.24 - 255.34\\0.15*x =3.9\\x = \frac{3.9}{0.15}\\x = 26[/tex]
The average was 259.24 after 26 years, therefore it was in 1996.
Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?
Answer:
Meena's is 5 and her father is 30
Step-by-step explanation:
x+5+6x+5=2x+6x+5
x+6x-2x-6x=5-5-5
-x =-5
x =5 Meena
6*5
=30 Her father's age
Have a good day and stay safe!
find the value of y in the given ratio 9y=3:5
Answer:
y=15
Step-by-step explanation:
im guessing you meant 9:y = 3:5
(9*5)/y = 15
What is the value of x?
Answer:
x = 155
Step-by-step explanation:
155 and x are alternate exterior angles and alternate exterior angles are equal when a and b are parallel
x = 155
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Solve 2x + 1 2x - 6 this is the second question please help
Answer:
No solution
Step-by-step explanation:
Either you set them equal to each other or use system of linear equations, the answer will be no solution. That is because these 2 lines are parallel.
If the question is 2x + 1 < 10
Step 1: Isolate x
2x < 9
Step 2: Divide both sides by 2
x < 9/2
x < 4.5
Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
How do you tell the difference between a inclusive data set probability and a exclusive data set probability?
Answer:
2 events are mutually exclusive when they cannot both occur simultaneously. 2 events are mutually inclusive when they can both occur simultaneously. The possible results of 1 trial of a probability experiment. ... When everyone or everything in a population has an equal chance of being selected.
Two events are mutually exclusive if they cannot occur at the same time. Another word that means mutually exclusive is disjoint. If two events are disjoint, then the probability of them both occurring at the same time is 0.
Step-by-step explanation:
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
What is the measure of arc ADC if the measure of arc BC is 52 degrees
Answer:
bc 52dndnxnnxxjxmsowkdkdodjdjdidj
Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer
Answer:
neuf mille
je ne suis pas sûr
Step-by-step explanation:
2x+y-5= Please help
Please help me I keep getting long and I do not know what I’m doing
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
PLEASE HELP ASAP!!!!!!!!
Answer:
a)f(o)=12
f(1)=0
f(12)=1320
c)x=1
Step-by-step explanation:
A study of the effect of seatbelt use in head-on car collisions found that drivers using a seatbelt had a 64.1% survival rate, while drivers not using a seatbelt had a 41.5% survival rate. If seatbelts have no effect on survival rate, there is less that a 0.0001 chance of getting these results. The probability shows that the sample results ____(could or could not) have occurred by chance. It appears that there _______ (is or is not) sufficient evidence to conclude that seatbelts do have an effect on survival rate.
Answer:
The correct option are;
1) Could not
2) Is
Step-by-step explanation:
The parameters given are;
The survival rate of drivers using seat-belt = 67%
The survival rate of drivers not using seat-belt = 41.5%
The chance of getting the survival rate results without a correlation with the use of seat-belt < 0.0001
Given that the chance of obtaining the given survival rates without the seat-belt having an effect on survival rate is less than 0.01 percent we have;
The probability shows that the sample results could not have occurred by chance. It appears that there is sufficient evidence to conclude that seat-belts do have an effect on survival rate.
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.
Please help.
Answer:
$3.77 * 10^7
Step-by-step explanation:
$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units
Answer:
h = 5 units
Step-by-step explanation:
Step 1: Plug in known variables into formula
A = 1/2bh
30 = 1/2(12)h
Step 2: Multiply both sides by 2 (To get rid of fraction)
60 = 12h
Step 3: Divide both sides by 12
h = 5
Answer: 5 units
Step-by-step explanation:
30 devided by 12 then multiply that by 2
cos(7π/6)= a. 1/2 b.-1/2 c.√3/2 d.-√3/2 Help please?
Answer:
D. -√3/2
Step-by-step explanation:
Remember your unit circle.
Alternatively, you can plug in cos(7π/6) into your calc (Put it in rad mode) and calculate your answer.
Answer:
D. -√3/2
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6
Start by setting up your two sets of parenthses.
X² breaks down into x and x.
What we are looking for is factors of the constant term
that add to the coefficient of the middle term.
The question is, what is the coefficient of the middle term
in this problem if there is nothing written in front of the x.
Well if there is nothing written there,
the coefficient is understood to be 1.
So what we are looking for are factors of -12 that add to -1.
Factors of -12
+12 · -1
-12 · +1
+6 · -2
-6 · +2
+4 · -3
-4 · + 3
We can see that -4 and +3 add to -1.
So they go in the second position of each binomial.
This gives us (x - 4)(x + 3) as our answer.
Which situation is best modeled by the equation 11 + x=28
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
I WILL MARK YOU BRAINLIEST!!!! PLZ HELP
Answer:
C. G(x) is a negative number with a small absolute value
Step-by-step explanation:
As x increases, G(x) goes towards 0 from the a negative quadrant.
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing
Answer:
The graph that best fits this model of profit and price per unit is attached to this solution.
Step-by-step explanation:
A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.
The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)
The profits vary as the price per unit varies, there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.
This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.
This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.
The most fitting graph for this model is attached to this solution provided.
From the graph, all the descriptions above are evident.
Hope this Helps!!!
Answer:
Graph A!
Step-by-step explanation:
just passed on edge 2020
3) (2 + 3n3 – 4n?)– (8n2 + 7n3 + 2)
Answer:
-4n³ - 8n² - 4n
Step-by-step explanation:
Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?
1. Whereon the lineaments of that dead face
2. Are graven, till the characters be grown
3. Into itself, and thought no more can trace;
4. 'Tis the melodious hue of beauty thrown
A:Tis the melodious hue of beauty thrown
B:into itself,and thought no more can trace
C: Are graven,till the characters be grown
D: Whereon the linements of that dead face
explain answer this question is English
Answer:
A: Tis the melodious hue of beauty thrown .
Explanation:
An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.
In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".
Thus, the correct answer is option A.
What is the midpoint of the segment shown below ?
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
Any answers plzzzzzz
Answer:
A = 3[tex]r^{2}[/tex]
Step-by-step explanation:
r = [tex]\sqrt{\frac{A}{3} }[/tex]
r = [tex](\frac{A}{3})^{1/2}[/tex]
square both sides:
[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]
multiply 3 to both sides:
3[tex]r^{2}[/tex] = A
Answer:
[tex] a= 3r {}^{2} [/tex]
[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
Please help there’s a picture
60°
60
Y=?
Answer:
Pretty sure it's 90 degrees
Step-by-step explanation:
Factor x^3 + 2x² + x completely.
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you