Answers
Answer:
5a) 4
5b) 4
Step-by-step explanation:
You'll use Pythagorean theorem throughout this problem a lot. So, to find X, You have a right triangle with one leg of 6, and one leg of 2. 2 squared plus 6 squared equals c squared. 4 + 36 = c squared then you get 40 = c squared.
To get c by itself you'd square root both sides. So that leaves you with X = the square root of 40.
Now, to get Y, you have another triangle with a leg of 4, and another leg of the square root of 40. 4 squared = 16, and the square root of 40 squared is just 40. So, 16 + 40 = c squared. 56 = c squared, then again, to get the c value by itself you need to square root both sides, leaving you with Y = the square root of 56.
Related Questions
The scores of the students on a standardized test are normally distributed, with a mean of 500 and a standard deviation of 110. What is the probability that a randomly selected student has a score between 350 and 550? Use the portion of the standard normal table below to help answer the question. Z Probability 0. 00 0. 5000 0. 25 0. 5987 0. 35 0. 6368 0. 45 0. 6736 1. 00 0. 8413 1. 26 0. 8961 1. 35 0. 9115 1. 36 0. 9131 9% 24% 59% 91%.
Answers
The probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
What will be the probability?we know that the formula for probability is given by
[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]
where,
Z = Z score,
X = raw score,
μ = mean,
σ = standard deviation,
The probability of the students to be selected randomly between 350 and 550 will be given as
[tex]=P(350 < X < 550)[/tex]
[tex]=P(350-500 < X-500 < 550-500)[/tex]
[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]
[tex]=P(-1.36 < Z < 0.45)[/tex]
[tex]=P(Z-1.36)-P(Z-0.45)[/tex]
[tex]=(0.9131-0.6736)[/tex]
[tex]=0.2395[/tex]
Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%
To learn more about probability follow
https://brainly.com/question/24756209
Write down in terms of n, an expression for the nth term
of the following sequences:
a) 2 5 8 11 14
b) 9 11 13 15 17
Answers
Answer:
a) [tex]a_n=3n-1[/tex]
b) [tex]a_n=2n+7[/tex]
Step-by-step explanation:
a) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
14 - 11 = 3
11 - 8 = 3
8 - 5 = 3
5 - 2 = 3
(so the common difference = 3)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=2[/tex][tex]d=3[/tex][tex]\implies a_n=2+(n-1)3[/tex]
[tex]\implies a_n=2+3n-3[/tex]
[tex]\implies a_n=3n-1[/tex]
b) From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:
17 - 15 = 2
15 - 13 = 2
13 - 11 = 2
11 - 9 = 2
(so the common difference = 2)
General equation of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)
Given:
[tex]a=9[/tex][tex]d=2[/tex][tex]\implies a_n=9+(n-1)2[/tex]
[tex]\implies a_n=9+2n-2[/tex]
[tex]\implies a_n=2n+7[/tex]
Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday. On Wednesday he traveled 40 more than the square of the number of miles traveled Monday. If the total miles traveled was 1,024, write an equation to represent the total miles traveled on Monday, Tuesday and Wednesday.
Answers
Answer:
x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
Step-by-step explanation:
Let x = number of miles traveled on Monday
Let y = number of miles traveled on Tuesday
Let z = number of miles traveled on Wednesday
Given:
Mr. M traveled 5 miles fewer than twice the number of miles on Tuesday as Monday⇒ y = 2x - 5
Given:
On Wednesday he traveled 40 more than the square of the number of miles traveled Monday⇒ z = x² + 40
Given:
Total miles traveled = 1024⇒ x + y + z = 1024
Substitute y = 2x - 5 and z = x² + 40 into x + y + z = 1024:
⇒ x + 2x - 5 + x² + 40 = 1024
⇒ x² + 3x + 35 = 1024
⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)
True or false: The unit price of the chocolates in a box is found by dividing the price of the box by the number of chocolates in the box.
Answers
Answer:
true
Step-by-step explanation:
example: $10 for 10 chocolate
10.00÷10=1.00
what is the perimeter of rectangle JKLM
Answers
Find lengths by reasoning shortcut
JK=6-1=5unitsJM=6-3=3unitsIts a rectangle
Perimeter:-
2(JK+JM)=2(5+3)=2(8)=16units
Answer:
Perimeter = distance around a two-dimensional shape
⇒ Perimeter of a rectangle = (2 × width) + (2 × length)
From inspection of the diagram:
width = 3 unitslengths = 5 units⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)
= 6 + 10
= 16 units
if p varies inversely as the square root of q, and p=12 when q=36, find p when q=16
Answers
Answer:
Step-by-step explanation:
p = k / sqrt(q)
The first job is to find k.
p = 12
q = 36
Solution for k
12 = k / sqrt(36)
sqrt(36) = +/- 6
Multiply both sides by +/-6
12 * +/- 6 = k
k = +/- 72
Solution for q = 16
p = +/-72/ sqrt(16)
p = +/- 72 / sqrt(16)
p = +/- 72 / +/-4
p = 18
⚠️⚠️ HELP IMAGE IS QUESTION !! MARKING BRAINLIEST,, if you could explain ⚠️⚠️
Answers
Answer:
C
Step-by-step explanation:
it’s the only one that is a line
Answer:
c because the line is straight
Step-by-step explanation:
in order for a line on a graph to be linear it must have the same rise over run so the line would have to be strait
what is the equation of the line that passes through the point (-3,7) and has a slope of 1/3
Answers
Answer:
y = 1/3 x + 8.
or in standard form:
x - 3y = -24.
Step-by-step explanation:
To answer this we use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Here we have m = 1/3 and (x1, y1) = (-3, 7), so:
y - 7 = 1/3(x - (-3))
y - 7 = 1/3( x + 3)
y - 7 = 1/3 x + 1
y = 1/3 x + 8 .
This is the slope-intercept form of the equation.
Converting to standard form, we first multiply by 3:-
3y = x + 24
- x + 3y = 24
x - 3y = -24.
find h(-8) given the function h(x)=| 2x+7 |
Answers
Answer:
9
Step-by-step explanation:
h(x)=| 2x+7|
h(-8)= |2(-8)+7|
= |-16+7|
=|-9|
=9
6) Andy is going kyacking. He has $341 to spend on parking and paddles. Parking costs $30 and paddles cost $45.20 per person. Determine how many people can go kyacking
Answers
Answer:
6 people can go
Step-by-step explanation:
341-30=311
311-45.2x=0
45.2x=311
x=6.88
6.88 people can go but .88 of a person doesnt exist
What is the first step needed to solve
() -6=
IN
2
5
X-6= -16?
O a
Subtract 16 from both sides
Ob
Add 6 to both sides
Ос
Divide both sides by 5
O d
Multiply both sides by 2
Answers
Rebecca ran the width of a field, a distance of 60 yards. Then she ran the length of the field,
a distance of 80 yards. Finally, she ran diagonally across it to get back to her starting point.
How far did Rebecca run?
Answers
Answer:
170 yards
Step-by-step explanation:
First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)
1st: Up along the width |
2nd: sideways along the length ----
3rd: diagonally back to the starting point /
This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.
Equation representation:
60 + 80 = 140 yards
x = 60 divided by 2
x = 30 yards
60 + 80 + 30 = 170 yards
Have a great rest of your day
#TheWizzer
Use the circle below to answer the question.
R
680
с
S
The circle is centered at point C. Line segment PQ is parallel to SR.
What is the measure of angle QPS?
Answers
Answer:
m∠QPS = 112
Step-by-step explanation:
Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.
The opposite angles in a cyclic quadrilateral add up to 180°.
⇒ m∠QPS + m∠QRS = 180°
⇒ m∠QPS + 68° = 180°
⇒ m∠QPS = 180° - 68°
⇒ m∠QPS = 112°
Given ∆ADB and ∆ACB. These triangles can be proven congruent by ASA, if two additional statements are provided.
Answers
Answer: First option
Step-by-step explanation:
For his phone service, Hong pays a monthly fee of $30, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $124.92.
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answers
Answer:
First, let's set up the equation
· We know the least total he's got in one month is $124.92
· In that one month, he was charged an additional $30 dollar fee.
· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').
It would look like this;
30 + 0.07m = 124.92
where $30 is the additional fee
$0.07 is the money he is charged per unknown minutes otherwise known as 'm'
$124.92 is the total of that whole month (which has been the least amount of money he used)
So now we solve for m:
30 + 0.07m = 124.92
-30 -30(get rid of any constants first by performing the inverse operation of addition, subtraction)
0.07m = 94.92
/0.07 /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)
m = 1,356 minutes
A car dealer organizes the inventory of a specific model of car into a frequency table comparing the type of car and the model year. the dealer used the data from the frequency table to create this conditional relative frequency table by column. a 4-column table with 3 rows titled car inventory. the first column has no label with entries current model year, previous model year, total. the second column is labeled coupe with entries 0.9, 0.1, 1.0. the third column is labeled sedan with entries 0.75, 0.25, 1.0. the fourth column is labeled nearly equal 0.79 , nearly equal to 0.21, 1.0. which is the best description of the 0.1 in the table? given that a car is a coupe, there is a 10% chance it is from the previous model year. given that a car is from the previous model year, there is a 10% chance that it is a coupe. there is a 10% chance that the car is from the previous model year. there is a 10% chance that the car is a coupe.
Answers
A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.
The dealer used the data from the frequency table to create this conditional relative frequency table by column.
A car is from the previous model year, there is a 10% chance that it is a coupe.
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.
Step-by-step explanation:
The person above me is correcttt~
edge2022
good luck! :)
~nxmbus
Ameezy has four times as many water bottles
as Beetle does. If the two of them have a
combined total of sixty bottles, how many
more bottles does Ameezy have than Beetle?
Answers
Answer:
30
Step-by-step explanation:
15 x 4 = 60, which means that Beetle has 15 bottles of water and that Ameezy has bottles. 45 - 15 = 30.
Hope this helps :)
Answer:
36 bottles.
Step-by-step explanation:
If you wrote them out, like 1 over 4, 2 over 8, and added up their totals at the bottom, you would eventually reach 60. The last column has 12 over 48, so we subtract 12 from 48, which gives us 36. So the answer is 36 bottles.
Hope this helped!
A(5, -6) is called an ?
Answers
Jack has a bag of jellybeans. There are 6 green, 4 blue, 5 red, and 1 yellow jellybean. If Jack picks two jellybeans replacing the first, then find the probability of each.
P(blue and red) =
P(yellow and green) =
P(blue or yellow, green) =
P(green and blue and red) =
Answers
Answer: See below for totals:
Step-by-step explanation:
P(blue and red) = [tex]\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}[/tex]
P(yellow and green) = [tex]\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}[/tex]
P(blue or yellow, green) = [tex]\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}[/tex]
P(green and blue and red) =[tex]\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}[/tex]
Hope this helps!
Can anybody help me with the question in the attachment please?
(will mark brainliest)
Answers
Answer:
8/12 and 4/12
Step-by-step explanation:
simplified to 2/6 and 1/6
Ellie deposited $650 into her savings account. She then saved $150 per month.the amount in Ellie’s savings account after t months
Answers
Answer:
$650+$150x
Step-by-step explanation:
Base number and 150 is added per month.
how many bases does a rectangular pyramid have?
Answers
Answer:
it has a 4 sided,1 base
Step-by-step explanation:
Answer:
One base, look at the image I uploaded;
A line passes through the points
(4,3) and (9, -7).
What is the equation for the line in
slope-intercept form?
Answers
Answer:
y=-2x+7
enter the point into point slope form to find the slope and then use one of the points in point slope form and rearrange it to have y by itself
2sinx-1= 0
Pls help me solve
Answers
Answer:
x = 30°
Step-by-step explanation:
2sinx - 1 = 0
2sinx = 1
sinx = 1/2
x = 30°
Answer:
x = nπ + ( -1 )π π/6, where n is the integer
Step-by-step explanation:
2: Rewrite using the distributive property.
Answers
Answer:
[tex]12s-120[/tex]
Step-by-step explanation:
Given the following question:
[tex]12(s-10)[/tex]
To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.
[tex]12(s-10)[/tex]
[tex]12\timess=12s[/tex]
[tex]12s-10\times12[/tex]
[tex]10\times12=120[/tex]
[tex]12s-120[/tex]
Your answer is "12s - 120."
Hope this helps.
FREE BRAINLY HURRYA school fund raising event sold a total of 199 tickets and generated a total revenue of $744.30. There are two types of tickets: adult tickets and child tickets. Each adult ticket costs $4.20, and each child ticket costs $3.45. Write and solve a system of equations to answer the following questions.
____ adult tickets and ____child tickets were sold.
Answers
Answer:Adult tickets sold is the variable a.Child tickets sold is the variable c.a + c = 1756.40a + 1.35c = 564.50The first equation can be rewritten asc = 175 - aReplace c in the second equation with what it is equal to6.40a + 1.35(175 - a) = 564.50Apply the distributive property6.40a + 236.25 - 1.35a = 564.50Combine like terms5.05a + 236.25 = 564.55.05a = 328.25a = 65c = 175 -65c = 110The sold 65 adult tickets and 110 child tickets
Step-by-step explanation:
A bank offers a savings account that earns 0.5% interest each month.
Write an equation for the balance of the savings account after Y months.
Given an initial deposit of 500$ what will the account balance be after 15 months.
Answers
Answer
Step-by-step explanation:
This is exponential growth, so we would use the following equation
y=a(b)^x
500(1.005)^15
1. Initial amount is $500, since that's what we started with.
2. Add the following percentage by 100%
100%+0.5%= 1.005
3. We need to find the account balance after 15 months so raise it to the 15th power.
y= 500(1.005)^15
The balance after 15 months will be $538.84.
bye~~
Please evaluate this equation, and explain how you got the answer.
Answers
Answer:
3 = f
Step-by-step explanation:
3(6 - f) - 4 = 3f - 4
Distribute within Parenthesis
18 - 3f - 4 = 3f - 4
Combine like terms
14 - 3f = 3f - 4
Add 3f on both sides of the equation
14 = 6f - 4
Add 4 on both sides of the equation
18 = 6f
Divide by 6 on both sides of the equaiton to get your answer of
3 = f
Hope this helps :)
One brand of juice contains 0.05 of natural juice. Which is this decimal written as a percent?
A) 0.05%
B) 5%
C) 0.5%
D) 50%
Answers
Answer:
B.) 5%
Step-by-step explanation:
You'll need to multiply 0.05 by 100. Since 100 = 1, we are only multiplying by 1 and not changing the value of our number.
0.05 × 100 = 5
5/100 is 5 over 100 and means 5 per 100. 5 "per 100" means 5 "percent" or 5%
Therefore, 0.05 = 5%
I hope this helps! ^-^
0.05 x 100 = 5
You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10 mg of caffeine?
Answers
Answer:
10 hours
Step-by-step explanation: