Answer:
Step-by-step explanation:
Jack and Jill went up a hill 8 miles to fetch a pail of water. Jack fell down 5 miles and broke his crown and Jill came
tumbling after. Write an expression using absolute value to model Jacks total distance traveled.
Answer:
13 miles
Step-by-step explanation:
he traveled 8 miles up hill then fell down 5 miles so in total he has traveled 13 miles
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
9,16,23,...
Find the 46th term.
The 46th term of the sequence is 324.
We have,
To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.
Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference
of 7.
To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:
a(n) = a(1) + (n - 1) d
where a(1) is the first term, d is the common difference, and n is the term number we want to find.
Using the given information, we have:
a(1) = 9
d = 7
n = 46
Plugging these values into the formula, we get:
a (46) = 9 + (46 - 1)7
a (46) = 9 + 45 (7)
a(46) = 9 + 315
a(46) = 324
Therefore,
The 46th term of the sequence is 324.
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If three empanadas and two drinks cost $9, and four empanadas and one drink costs $9.50, how much does a drink cost?
Answer:
A drink cost 1.50
Reasoning:
3×2=6
6+1.50=7.50
7.50+1.50=9
4×2=8
8+1.50=9.50
Anna has an online checking account at Garden City Bank. Her balance at the beginning of February was $5,195.65. During the month, she made deposits totalling
$6,873.22, wrote checks totalling c dollars, was charged a maintenance fee of $15, and earned $6.05 in interest. Her balance at the end of the month was $4,200.00. What is
the value of c?
Answer:
7,859.92
Step-by-step explanation:
Add up the additions starting with what she started off with in the bank and subtract 4,200.00
To graph the inequality t>3, you would put an open circle on 3 and shade to the left
Answer:
It is an open circle and you would shade to the right on a number line.
Step-by-step explanation:
The circle is open because you are not including 3. Put numbers in for t and you will see that the numbers greater than 3 are all on the right side of the number line.
A box is 120 cm long and 25 cm wide. What is the length of the longest ski pole that could be packed to lie flat in the box?
The length of the hypotenuse is 123cm.
The orientation of the ski pole to allow it to be its maximum length would be placing it from corner to opposite corner of the base of the box.
Therefore, this can be modeled as the hypotenuse of a right triangle, where the length and width of the box are the legs.
To find the hypotenuse, use Pythagoras' Theorem:
\(a^2+b^2=c^2\)
(where a and b are the legs, and c is the hypotenuse)
a = 25 cm
b = 120 cm
Substitute given values into the formula and solve for c:
⇒ a² + b² = c²
⇒ 25² + 120² = c²
⇒ c² = 15025
⇒ c = √(15025)
⇒ c = 123 cm (nearest whole number)
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a father is four times as old as the sun in 10 years time the father will be twice as old as the son .if the father is 20years and son is 5 years currently, how old will the father be 29 years from now?
29 years from now, the father will be 49 years old.
Let's start by setting up the given information:
Currently, the father is 20 years old, and the son is 5 years old.
In 10 years, the father will be twice as old as the son.
The father is currently four times as old as the son.
Determine the age of the father and son in 10 years:
In 10 years, the father's age will be 20 + 10 = 30 years.
In 10 years, the son's age will be 5 + 10 = 15 years.
Write equations based on the given information:
The father's age in 10 years will be twice the son's age in 10 years: 30 = 2 × 15.
The father's current age is four times the son's current age: 20 = 4 × 5.
Solve the equations:
From the second equation, we find that the son's current age is 5 years.
Plugging this value into the first equation, we get: 30 = 2 × (5 + 10).
Simplifying further, we have: 30 = 2 × 15, which is true.
Determine the current age of the son in 29 years:
The son's current age is 5 years.
Adding 29 years to the son's current age, we find that the son will be 5 + 29 = 34 years old.
Determine the current age of the father in 29 years:
The father's current age is 20 years.
Adding 29 years to the father's current age, we find that the father will be 20 + 29 = 49 years old.
Therefore, 29 years from now, the father will be 49 years old.
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20 seconds is what fraction of a
minute?
Answer:
.33333333333333333 minutes
also 1/3
hope this helps:)
Help me I’ll mark you brainly!
Answer:
- 6x² -x⁴/6 -1 because 6x² is co effectient
Javier and Alejandro are creating patterns. Javier uses the rule “subtract 5” and starts at 37. Alejandro uses the rule “multiply by 2” and starts at 3. What is the first number in Javier's pattern that also appears in Alejandro's pattern?
Answer:
12
Step-by-step explanation:
37-5= 32-5= 27-5= 22-5= 17-5= 12
3 x 2 = 6 x 2 = 12
I need help with math here the photos
Answer:
9-49
a= 2r+ 7
b= 2.5x + 16
c= 3r-2x-8.8
Step-by-step explanation:
(1/3)²+3² what's the awnser
You have the following expression:
(1/3)² + 3²
in order to simplify the prevous expression, consider that 3² = 3x3 = 9 and by properties of exponents (1/3)² = 1²/3². Then, you have:
(1/3)² + 3² = 1²/3² + 9
= 1/9 + 9
= (9 + 9)/81
= 18/81 = 2/9
Hence, the simplified expression is 2/9
△ABC has vertices A(-2, 0), B(0,8), and C(4,2) Find the equations of the three altitudes of △ABC
The equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.What is a triangle?A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
What is a slope?A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.
How to determine a slope?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Also, the point-slope form of a straight line is given by this equation:
y - y₁ = m(x - x₁)
Assuming the following parameters for triangle ABC:
Let AM be the altitudes on BC.Let BN be the altitudes on CA.Let CL be the altitudes on AB.For the equation of altitude AM, we have:
Slope of BC = (2 - 8)/(4 - 0)
Slope of BC = -6/4
Slope of BC = -3/2
Slope of AM = -1/slope of BC
Slope of AM = -1/(-3/2)
Slope of AM = 2/3.
The equation of altitude AM is given by:
y - y₁ = m(x - x₁)
y - 0 = 2/3(x - (-2))
3y = 2(x + 2)
3y = 2x + 4
3y - 2y - 4 = 0.
For the equation of altitude BN, we have:
Slope of CA = (2 - 0)/(4 - (-2))
Slope of CA = 2/6
Slope of CA = 1/3
Slope of BN = -1/slope of CA
Slope of BN = -1/(1/3)
Slope of BN = -3.
The equation of altitude BN is given by:
y - y₁ = m(x - x₁)
y - 8 = -3(x - 0)
y - 8 = -3x
y + 3x - 8 = 0.
For the equation of altitude CL, we have:
Slope of AB = (8 - 0)/(0 - (-2))
Slope of AB = 8/2
Slope of AB = 4
Slope of CL = -1/slope of AB
Slope of CL = -1/4
The equation of altitude CL is given by:
y - y₁ = m(x - x₁)
y - 2 = -1/4(x - 4)
4y - 2= -(x - 4)
4y - 2= -x + 4
4y + x - 2 - 4 = 0.
4y + x - 6 = 0.
In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:
3y - 2y - 4 = 0.y + 3x - 8 = 0.4y + x - 6 = 0.Read more on point-slope form here: brainly.com/question/24907633
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the value of 2√4-3√27+√16+√225 is
Answer:
hope this help you
sorry if it is mistake
The sum of two numbers is 57 . The smaller number is 17 less than the larger number. What are the numbers?
Answer:
two numbers are 37 and 20
Step-by-step explanation:
x+y=57
let x be the smaller number
y=x+17
x + x+17=57
2x=57-17
2x=40
x=20
y=x +17
y=20+17
y=37
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer:
see explanation
Step-by-step explanation:
vertical angles are angles on the opposite side at a vertex of 2 lines.
1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles
supplementary angles sum to 180°
adjacent angles on a straight line sum to 180°
1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.
At what point(s) does the parabola, y=x2−2, intersect the line, y=−x?
C. (-2, 2) and (1, -1)
What is the intersection of two graphs?Since the point of intersection is the sole location where the two graphs come together, the coordinates of that location provide the answer to the equations involving the two variables. There are no solutions when the graphs are in parallel.
Given, the parabola Y = X² -2 and a line Y = -X. To find the intersection points of this graph we need to compare these equations.
Let's put the value of y in equation 1
- X = X² - 2
X² + X - 2 = 0
The factor of this quadratic equation is -2 and 1. Therefore the coordinate in which both graphs will intersect is (-2, 2) and (1, -1). I am attaching an image for better understanding.
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NO LINKS!!
The supply and demand curves for a business dealing with wheat are:
Supply: p = 1.55 + 0.00014x^2
Demand: p = (2.358 - 0.007x)^2
where p is the price in dollars per bushel and x is the quantity in bushels per day. Use a graphing utility to graph the supply and demand equations and find the market equilibrium. (The market equilibrium is the point of intersection of the graphs for x > 0. Round your answers to 2 decimal places.)
x= ________ bushels
p = $_________
Given curves:
p = 1.55 + 0.00014x²p = (2.358 - 0.007x)²See the attached, where both curves and their intersection is shown.
According to this we have:
x = 96.05p = $2.84Answer:
x = 96.05 bushels
p = $2.84
Step-by-step explanation:
Graph the two equations (see attachment).
The market equilibrium is the point of intersection of the graphs for x > 0.
From inspection of the graph, the point of intersection is (96.05, 2.84).
Therefore:
x = 96.05 bushelsp = $2.84In rhombus LMNO, diagonals top enclose L N end enclose and top enclose M O end enclose intersect at P. If the measure of angle L P M is represented by 2x + 70. Solve for x.
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The diagonals of a rhombus cross at right angles.
2x +70 = 90
2x = 20 . . . . . . . subtract 70
x = 10 . . . . . . . . . divide by 2
match the equation with its graph . identify the slope and y-intercept y= -2/3x+1
Answer:
the slope is -2/3x and the y intercept is 1
Step-by-step explanation:
Someone Tell Me where The Tutors are Its strange that there not here what is going on
Answer:
what is this question?
Step-by-step explanation:
Answer:
yeah .. theres no tutors ( not that i know of) this app is helped by students . so u post a question and other students come and help you( becase they may had the same question as you)... it not a tutoring session , if you have a question just talk to the moderator,, usally they message u
NEED BY TODAY PLEASE GET RIGHT
Which statement is true about the value of l-5l?
It is the distance that –5 is from 0 on the number line.
It is the distance that –5 is from 5 on the number line.
It is less than 5.
It is greater than 5.
Answer:
It is the distance that –5 is from 5 on the number line.
Step-by-step explanation:
It is the distance that –5 is from 5 on the number line.
Answer:
5 to 5 on the number line!
Step-by-step explanation:
Have a jolly weekend!^_^
pls help me with math i’ll give uu brainlist
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"Perform the operation. Enter your answer in scientific notation. 7 x 105-5810%"the answer is 120000, I just forgot how to write it in scientific notation
When we want to add or substract two numbers that are multiplied by a power of 10, the power of 10 must be the same on both numbers.
In this caseIn this case we have:
\(7\times10^5-5.8\times10^5\)Since
7 - 5.8 = 1.2
Then:
\(7\times10^5-5.8\times10^5=1.2\times10^5\)Since the first number of the result is from 0 and 10, then it is already scientifc notation
Name 2 alternate exterior angles
Answer: Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles.
Step-by-step explanation:
A taxi company charges an initial fee
of $2.80 plus $3.50 per mile traveled.
a. Does the situation represent a function? If so, identify
the independent and dependent variables.
b. You have enough money to travel at most 20 miles
in the taxi. Find the domain and range.
The situation is a function, & the independent and dependent variables are the number of miles and total fee, respectively
a. Does the situation represent a function? If so, identify the independent and dependent variables.The given parameters are
Initial Fee = $2.80
Rate = $3.50 per mile
Let the number of miles be x and the total fee be y
So, we have
Total fee = Initial Fee + Rate * Number of miles
This gives
y = 2.8 + 3.5x
This means that the situation is a function, & the independent and dependent variables are the number of miles and total fee, respectively
b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range.Here, we have
Maximum number of miles = 20
This means that the domain is 0 <= x <= 20
Substitute 20 for x in y = 2.8 + 3.5x
y = 2.8 + 3.5 x 20
Evaluate
y = 72.8
This means that the range is 0 <= x <= 72.8
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} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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You send an email with a file size of 4 kilobytes. One kilobyte is 2^{10} bytes. What is the file size of your email in bytes? Write your answer as a power.
Answer:
2¹² Bytes
Step-by-step explanation:
One kilobyte is 2¹⁰ bytes.
File size of the email is 4 kilobytes. That is 4 times 1 kilobyte. Therefore multiply with 4.
4 KB = 4 × 2¹⁰ B
Now notice that you can rewrite 4 like 2².
4 KB = 2² × 2¹⁰ B
Use exponental rule (Product Rule):
\(a^x + a^y = a^{x+y}\)
4 KB = 2²⁺¹⁰ B = 2¹² B