Parallel lines have the same slopes.
So if line s has a slope of -3/2, line t also has a slope of -3/2.
Number of objects
xxxxxx
Measurement of the Length of Objects
x
x
x
xx
xx
x x
xx
xx
xx
xx
+
2
X
3
1
2
xx
xx
xx
x x
Length (cm)
1
Multiply to find the total length of all objects at centimeter. Each tick represents
2
centimeter.
xx
xx
Do not reduce your answer.
2
The total length of all the objects is 48 centimeters.
To find the total length of all the objects, we need to count the number of ticks on the measurement scale and multiply it by the value represented by each tick, which is 2 centimeters.
From the given information, the number of ticks is as follows:
xxxxxx: 6 ticks
x: 1 tick
x: 1 tick
x: 1 tick
xx: 2 ticks
xx: 2 ticks
x x: 3 ticks
xx: 2 ticks
xx: 2 ticks
xx: 2 ticks
xx: 2 ticks
Total number of ticks: 6 + 1 + 1 + 1 + 2 + 2 + 3 + 2 + 2 + 2 + 2 = 24 ticks
Now, Total length of all objects
= 24 ticks x 2 centimeters/tick
= 48 centimeters
Therefore, the total length of all the objects is 48 centimeters.
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Which ordered pair is the solution to the system of equations?
Y=2x – 15
4x + 3y = -5
A (0,6)
B (7, – 11)
C (4, – 7)
D (5, — 5)
Step-by-step explanation:
y = 2x - 15
4x + 3y = -5
4x + 3(2x - 15) = -5
4x + 6x - 45 = -5
10x = 40
x = 40/10
x = 4
y = 2x - 15
y = 2(4) - 15
y = 8 - 15
y = -7
Solution = (4,-7)
Option → C
Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.
A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2
help me out please T-T
Answer:
The simplyfied version would be 19/4
Show of work:
(1/4)^-2 = 4^2
3 × 8^2/3 × 1 = 12
(9/16)^1/2 = 3/4
4^2 - 12 + 3/4
Convert elements to fractions:
-12 × 4 + 3
---------- ----
4 4
Since the denominators are equal combine the fractions:
-12 × 4 + 3
---------------
4
-12 × 4 + 3 = -45
= -45/4
=4^2 - 45/4
4^2 = 16
16 - 45/4
16 × 4 - 45. 16 × 4 - 45
--------- ----- ----------------
4 4. 4
-> 16 × 4 - 45 = 19
= 19/4
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
Order 2.000 D5W IV to infuse over 12 hoursThe drop factor is 15 gtt/. Calculate the rate in gtt / min
Answer:
42gtt/m
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Flow rate in gtt/min = (Total fluid in ml × Drop factor) ÷ (Total hours × 60)
Where, Total fluid in ml = 2,000ml
Drop factor = 15gtt/m
Total hours = 12hours
By putting the following value in the formula, we get
Flow rate in gtt/min = (2,000 × 15) ÷ (12 × 60)
= 30,000 ÷ 720
= 41.67 or 42gtt/m
) Solve the inequality n -7> -4.
HELP ASAP DUE IN A COUPLE HOURS
the inequality of n -7> -4 is = n>3. Inequalities are mathematical expressions including the images >, <, ≥, and ≤. To 'address' an imbalance means to track down a reach, or ranges, of values that an obscure x can take regardless fulfill the imbalance.
n-7>-4
n-7+7>-4+7
n>-4+7
n>3
Inequalities are mathematical expressions including the images >, <, ≥, and ≤. To 'address' an
imbalance means to track down a reach, or ranges, of values that an obscure x can take regardless, fulfill
the imbalance.
To dominate the strategies that made sense here you should attempt a lot of training
practices with the goal that they become natural.
Subsequent to perusing this text, and additionally seeing the video instructional exercise on this point, you ought to have the option to:
• address basic inequalities utilizing algebra
• address basic inequalities by drawing graphs
• tackle inequalities in which there is a modulus image
• tackle quadratic inequalities
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pls help i need help 20 points
Answer:
\(63 \ cm^2\)
Step-by-step explanation:
The area of a triangle is found using the following formula:
\(A = \frac{base * height}{2}\)
The base of our triangle is 21 cm.
The height of our triangle is 6 cm.
\(A= \frac{6*21}{2} =3 * 21 = 63\)
Our distance unit is cm, so our area will be in cm squared.
Answer: \(63 \ cm^2\)
Answer:
63
Step-by-step explanation:
21 times 6, then divide by 2.
X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answer:
problem 2
Step-by-step explanation:
The feeding time constraint for cats can be written symbolically as:
12 minutes/day * number of cats <= 8 hours/day
The feeding time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
The pampering time constraint for cats can be written symbolically as:
16 minutes/day * number of cats <= 8 hours/day
The pampering time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
In which of the following expressions is 5 a coefficient?
A.5y + 4z
B.7x 2+ 4x 5+ 2
C.19x + 4y + 5
D.x + 3 + 2 – x
Answer:
A. 5y + 4z
Step-by-step explanation:
the coefficient is the number placed after the variable
so 5y in A part. because 5 is written with Y which is a variable
The sum of two numbers is 52 and the difference is 12. What are the numbers?
Answer:
32 and 20
Step-by-step explanation:
x + y = 52
x - y = 12
2y = 40
y = 20
x = 32
can sum1 pls answer that and pls tell why u picked wtv answer u pick
Answer:
Lane 3 turtle.
Step-by-step explanation:
The slope for the lane 3 turtle is steeper than that of the lane 1 turtle. We know slope of a position vs time graph is velocity, so whichever turtle has the steeper/greater slope that turtle is fastest.
what is 2:10 simplifyed
Answer:
1/5
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
you can divide both 2 and 10 by 2
2/2=1
10/2=5
Visible surveillance camera systems have the potential to reduce and deter crime. In 2013, a UNC Charlotte researcher conducted a study on the habits of burglars. During the study, more than 400 convicted offenders were surveyed about their habits and motivations during a burglary.
Over 400 convicted burglars were surveyed about their habits and motivations. The study found that visible surveillance cameras act as a deterrent, as they make burglars less likely to target a property
Visible surveillance camera systems have the potential to reduce and deter crime.
This conclusion is based on a study conducted by a UNC Charlotte researcher in 2013.
This conclusion is supported by the study's findings, which show that burglars are less likely to target properties with visible surveillance cameras. This information is important for individuals and communities looking to enhance their security measures and reduce the risk of burglary.
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PLS HELP FAST I WILL MARK THE FIRST BRAINLIEST
In science class, Alex estimates the volume of a sample to be 42 mL. The actual volume of the sample is 38 mL. Find the percent error of Alex’s estimate. Round your answer to the nearest tenth.
Group of answer choices
1.9%
2.1%
9.5%
10.5%
SHOW YOUR WORK PLS
The percent error of Alex’s estimate will be 10.5% which is the correct answer would be an option (D).
How to calculate the percent error?To find the percent error of Alex's estimate, we need to first calculate the difference between the estimated value and the actual value.
In this case, the difference is 42 mL - 38 mL = 4 mL.
Now we can divide the difference by the actual value and multiply by 100% to find the percent error.
As per the given question, the percent error is :
⇒ (4 mL / 38 mL) x 100%
⇒ 10.5%.
Therefore, the answer is 10.5%.
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6(x+1)^2+4=0, solve using square roots
explain and show step by step
pls need help
The solutions to the equation 6(x+1)^2 + 4 = 0 using square roots are x = -1 + (√(2/3)) * i and x = -1 - (√(2/3)) * i.
To solve the equation 6(x+1)^2 + 4 = 0 using square roots, we will follow these steps:
Step 1: Move the constant term to the other side of the equation.
\(6(x+1)^2 = -4\)
Step 2: Divide both sides of the equation by the coefficient of the squared term.
\((x+1)^2 = -4/6\)
Step 3: Simplify the right side of the equation.
\((x+1)^2 = -2/3\)
Step 4: Take the square root of both sides of the equation.
√\([(x+1)^2\)] = ±√(-2/3)
Step 5: Simplify the left side of the equation.
x+1 = ±√(-2/3)
Step 6: Rewrite the square root of a negative number using imaginary unit 'i'.
x+1 = ±√[(2/3)(-1)] * i
Step 7: Simplify the right side of the equation.
x+1 = ±(√(2/3)) * i
Step 8: Subtract 1 from both sides of the equation.
x = -1 ± (√(2/3)) * i
Therefore, the solutions to the equation 6(x+1)^2 + 4 = 0 using square roots are x = -1 + (√(2/3)) * i and x = -1 - (√(2/3)) * i.
It's important to note that when we encounter the square root of a negative number, we introduce the imaginary unit 'i' to represent the square root of -1. The solutions in this case involve complex numbers, where the real part is -1 and the imaginary part is ±(√(2/3)).
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An online furniture store sells chairs for $150 each and tables for $650 each. Every day, the store can ship at most 16 pieces of furniture and must sell no less than $3900 worth of chairs and tables. If x represents the number of tables sold and y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
Using graphical method to solve the system of linear inequalities, the solution are (x, y) 3, 13.
System of Linear InequalitiesA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.
To solve this, we can write out the equations as
x + y ≤ 16 ...eq(i)
650x + 150y ≥ 3900 ...eq(ii)
Solving both equations with a graph.
Kindly find the attached graph to the problem.
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How many squares will it take to fill the large square?
es
A)
5
B)
10
C)
25
D)
50
Answer:
you need 50 squares
please mark as brainliest
There will be 25 squares will it take to fill the large square. Option C is correct.
It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
The number of squares is obtained as the relation,
=n×n
As we obtained the value of n is 5.
The number of squares will it take to fill the large square is,
=5×5
=25
Thus, there will be 25 squares will it take to fill the large square. Option C is correct.
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solve the following of equations. express your answer as an order pair in the format (a,b) with no spaces between the numbers and symbols 2x + 7y = -1 4x - 3y = -19
SOLUTION:
Step 1:
In this question, we are given the following:
Solve the following equations.
Express your answer as an ordered pair in the format (a,b) with no spaces between the numbers and symbols:
\(\begin{gathered} \text{2x + 7y = -1 -- equ 1} \\ 4\text{ x - 3y = -19 -equ 2} \end{gathered}\)Step 2:
We multiply equation 1 by 2, so we have that:
\(\begin{gathered} 4\text{ x + 14y = -2 -- equation 3} \\ 4\text{ x - 3y = -19 -- equation 4} \end{gathered}\)Then, we evaluate equation 3 minus equation 4, we have that:
\(\begin{gathered} 4x\text{ - 4x + 14y -(-3y) = -2 -(-19)} \\ 14y\text{ + 3y = -2 + 19} \\ 17y\text{ = 17} \\ \text{Divide both sides by 17, we have that:} \\ y\text{ =}\frac{17}{17} \\ y\text{ = 1} \end{gathered}\)Next, we put the value of y = 1 in equation 1, we have that:
\(\begin{gathered} 2x+7y\text{ = -1} \\ 2x\text{ + 7 (1) = -1} \\ 2x\text{ + 7 = -1} \\ 2x\text{ = -1 - 7} \\ 2x\text{ = -8} \\ \text{Divide both sides by 2, we have that:} \\ x\text{ =}\frac{-8}{2} \\ x\text{ = -4} \end{gathered}\)CONCLUSION:
In ordered pair, the value of:
\((x,\text{ y ) = ( - 4, 1)}\)please answer this as soon as you see it :)
Answer:
164.92
Step-by-step explanation:
First, you have to get the tax, which would be 199 x 0.08. this gives you 15.92. Keep that in your head. Now you do 199-50 to get 149. Add this and the tax together to get 164.92
Answer:
$164.92
Step-by-step explanation:
Phone price: $199
Sales tax: 8%
Amount of sales tax: 8% of $199 = 0.08 × $199 = $15.92
Price including tax: $199 + $15.92 = $214.92
Rebate: $50.00
Final cost including tax and rebate: $214.92 - $50.00 = $164.92
Answer: $164.92
There are two numbers between 30 and 40 that have just two factors.
What are they?
Answer:
31 and 37
Step-by-step explanation:
Those are the only two numbers
Answer:
The two numbers between 30 and 40 which have only 2 factors are -
31 and 37
Hope it helps you.
7(2x+3)=3(4x+6)+2x+3
Answer:
\(7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0\)
(0 m/s) dA stone is thrown vertically upward with the velocity of 15 m/s. How long will the stone take to reach the ground? Also calculate the maximum height reached by stone. (Use g = 9,8 m/s) (3 s.11.25m)
The stone will take approximately 1.53 seconds to reach the ground, and it reaches a maximum height of approximately 11.48 meters.
To calculate the time it takes for the stone to reach the ground and the maximum height reached, we can use the equations of motion for vertical motion.
Given:
Initial velocity (u) = 15 m/s (upward)
Acceleration due to gravity (g) = 9.8 m/s² (downward)
Time to reach the ground:
When the stone reaches the ground, its final velocity (v) will be 0 m/s. Using the equation v = u + gt, we can solve for time (t):
0 = 15 - 9.8t
9.8t = 15
t = 15/9.8
t ≈ 1.53 seconds
Therefore, the stone will take approximately 1.53 seconds to reach the ground.
Maximum height reached:
To calculate the maximum height (h), we can use the equation v² = u² + 2gh, where v is the final velocity at the maximum height. Since the stone is thrown upward, the final velocity at the maximum height will be 0 m/s.
0 = (15)² + 2(-9.8)h
0 = 225 - 19.6h
19.6h = 225
h = 225/19.6
h ≈ 11.48 meters
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Emily and Chris are going to the city to visit a friend t They live 65 miles from the city. They have gone 42 miles already. How many more miles do they have to travel
Answer:
They have 23 miles left to travel.
Step-by-step explanation:
If they have 65 miles total to travel and they've already gone 42 miles, 65-42=23
jenni is going to adopt kittens from a litter of 11. how many ways can she choose a group of 3 kittens?
There are 165 ways for Jenni to choose a group of 3 kittens from a litter of 11.
To determine the number of ways Jenni can choose a group of 3 kittens from a litter of 11, we can use the concept of combinations.
A combination is a selection of objects where the order does not matter.
In this case, we want to select 3 kittens from a group of 11.
The formula for combinations is given by C(n, r), where n represents the total number of objects and r represents the number of objects to be selected.
Using the formula, we can calculate the number of ways Jenni can choose 3 kittens from a group of 11 as C(11, 3).
Evaluating this expression, we get:
C(11, 3) = 11! / (3! × (11 - 3)!)
= 11! / (3! × 8!)
Here, the exclamation mark (!) represents the factorial operation, which means multiplying a number by all the positive integers less than it down to 1.
Simplifying the expression further, we get:
C(11, 3) = (11 × 10 × 9) / (3 × 2 × 1)
= 165
Therefore, there are 165 ways for Jenni to choose a group of 3 kittens from a litter of 11.
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What is this expression in simplified form?
3v3.676
A.
5472
B.
54
C.
18V3
D.
1872
Answer:
The answer is A. 54 (sqrt)2
Step-by-step explanation:
read what on the image then answer
Fraction 10/12 would be greater than 3/4
Two hundred dollars is increased by 25% and the result decreased by 25%
What is the final result?
Answer:
If $200 increased by 25%, your result would be $250
If it then decreased by 25%, your result would be $187.5
Step-by-step explanation:
Multiply 200 and 25% and add 200 to get 250
Multiply 250 and 25% and then add that value to get 187.5
Answer:
187.5
Step-by-step explanation:
200*1.25=250 (this shows the increase by 25%)
250*.75=187.5 (this shows the decrease by 25%)
Which of the following is the most precise definition of a line segment based on the notions of "point" and "line"? A. A line segment is a figure composed of two points and a line. B.
A line segment is a portion of a line that lies between two points C. A line segment is a portion of a line that connects two distinct points on the line without extending beyond them D. A line segment is composed of all the points on a line that are greater than a distance d from a given point not on the line
Answer:
A line is a simple geometric shape that extends in both the directions, but a line segment has two defined endpoints. Both the figures are also different from a ray, as a ray has only one endpoint and extend infinitely in one direction.
Step-by-step explanation:
The differential equation d2ydx2−5dydx−6y=0d2ydx2−5dydx−6y=0 has auxiliary equationwith rootsTherefore there are two fundamental solutions .Use these to solve the IVPd2ydx2−5dydx−6y=0d2ydx2−5dydx−6y=0y(0)=−7y(0)=−7y′(0)=7y′(0)=7y(x)=
The solution to the IVP is:
\(y(x) = (43/20)e^{(6x)} - (27/20)e^{(-x)} - (63/20) + (47/20)e^{(x)]\)
How to find the differential equation has auxiliary equation with roots?The given differential equation is:
\(d^2y/dx^2 - 5dy/dx - 6y = 0\)
The auxiliary equation is:
\(r^2 - 5r - 6 = 0\)
This can be factored as:
(r - 6)(r + 1) = 0
So, the roots are r = 6 and r = -1.
The two fundamental solutions are:
\(y1(x) = e^{(6x)} and y2(x) = e^{(-x)}\)
To solve the initial value problem (IVP), we need to find the constants c1 and c2 such that the general solution satisfies the initial conditions:
y(0) = -7 and y'(0) = 7
The general solution is:
\(y(x) = c1e^{(6x)} + c2e^{(-x)}\)
Taking the derivative with respect to x, we get:
\(y'(x) = 6c1e^{(6x)}- c2e^{(-x)}\)
Using the initial condition y(0) = -7, we get:
c1 + c2 = -7
Using the initial condition y'(0) = 7, we get:
6c1 - c2 = 7
Solving these equations simultaneously, we get:
\(c1 = (43/20)e^{(-6x)} - (27/20)e^{(x)}\)
\(c2 = -(63/20)e^{(-6x)} + (47/20)e^{(x)}\)
Therefore, the solution to the IVP is:
\(y(x) = (43/20)e^{(6x)} - (27/20)e^{(-x)} - (63/20) + (47/20)e^{(x)]\)
Simplifying, we get:
\(y(x) = (43/20)e^(6x) + (7/20)e^{(-x)} - (63/20)\)
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