Answer:
PR = 12
Step-by-step explanation:
P-----------Q-----------R----------S
ratio
4:2:1
PS = 14
add the ration = 4 + 2 + 1 = 7
14 / 7 = 2
PQ at 4 x 2 = 8
QR at 2 x 2 = 4
RS at 1 x 2 = 2
------------
14
PR = PQ + QR
PR = 8 + 4
PR = 12
The length of the line segment PR is 12 units.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
According to the given question The points P, Q, R and S all lie on the same line segment PS and the ratio of PQ : QR: RS is equal to 4:2:1.
Assuming PQ = 4x, QR = 2x and RS = x.
We know PQ + QR + RS = PS.
∴ 4x + 2x + x = 14.
7x = 14.
x = 2.
PR = PQ + QR.
PR = 4(2) + 2(2).
PR = 8 + 4.
PR = 12.
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convert 5 2/5 into an improper fraction
Step-by-step explanation:
To write 5 as a fraction with a common denominator, multiply by 55 . Combine 5 and 55 . Combine the numerators over the common denominator. Simplify the numerator.
The convert of the mixed fraction into an improper fraction is [tex]\frac{27}{25}[/tex]
Important information:The mixed fraction is [tex]5 \frac{2}{5}[/tex]Calculation:[tex]= 5\frac{2}{5}\\\\ = \frac{27}{25}[/tex]
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A 2 level 5 factor experiment is being conducted to optimize the reliability of an electronic control module. In a full factorial experiment, how many treatment combinations will there be
Answer:
32
Step-by-step explanation:
In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually 2 levels and 5 factors. From the description below, there is a list of the 32 treatments.
Factor A Factor B Factor C Factor B Factor E
lo hi hi hi hi
hi low hi hi hi
hi hi low hi hi
hi hi hi low hi
hi hi hi hi low
lo lo hi hi hi
lo hi lo hi hi
lo hi hi lo hi
Can some body please help meeeee T^T
Answer:
Till tomorrow
TT Definition / TT Means
The definition of TT is "Telegrahic Transfer" or "Till tomorrow"
Step-by-step explanation:
Answer:
The answer is 5
Step-by-step explanation:
(50-10)=40/8=5
Find the midpoint of the segment with the following endpoints.
(-6, -6) and (4, -2)
Answer:
(-1,-4)
Step-by-step explanation:
USE A1 + A2 / 2 AND B1 + B2 / 2
A1 + A2 / 2
= (-6+4) / 2
= -2/2
= -1
B2 + B1 / 2
= (-6+(-2)) / 2
= -8 / 2
= -4
therefore, (-1,-4) is your midpoint.
HELP ME SOMEONE PLSSS WHAT IS THE ANSWER
Answer: 3 2
Wrong 1 5 6 4
Step-by-step explanation:
what is the point slope form for 2x + 3y = 1,470
Toss 3 dice. What's the probability that a 4 will come up exactly twice?
Answer:
[tex]\bold{\dfrac{1}{12}}[/tex]
Step-by-step explanation:
The dice is rolled 3 times.
To find:
The probability that a 4 will come up exactly twice = ?
Solution:
Let 4 comes up exactly twice, let the third number be [tex]x[/tex].
The possible outcomes can be:
([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.
So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18
Total number of outcomes that can be possible at roll of 3 dice:
6 [tex]\times[/tex] 6 [tex]\times[/tex] 6 = 216
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]
14. 2^2+ + 5x = 5x + 50
Answer:
x = -5 ∨ x = 5Step-by-step explanation:
[tex]\bold{2x^2 + 5x= 5x +50}\\\\{}\ \ -5x\qquad -5x\\\\\bold{2x^2\ =\ 50}\\\\\div2\quad\ \ \div2\\\\\bold{x^2=25}\\\\\bold{x=5\quad\vee\quad x=-5}[/tex]
2 Look at the open number line in
Problem 1. How would you change the
numbers to show 9 + 5?
Answer:
i need the number line
Step-by-step explanation:
lol
The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door.
Answer:
[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.
Step-by-step explanation:
Let as consider width of the door be x feet.
It is given that height of a door is 1.4 feet more than 2.3 times its width. So,
[tex]Height=2.3x+1.4[/tex]
The height of the door is 8.5 feet.
[tex]2.3x+1.4=8.5[/tex]
Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].
[tex]2.3x=8.5-1.4[/tex]
[tex]2.3x=7.1[/tex]
[tex]x=\dfrac{7.1}{2.3}[/tex]
[tex]x\approx 3.087[/tex]
So, the width of the door is about 3.087 feet.
Can someone please help me with this question
Answer:
5x+3>23
Step-by-step explanation:
x [tex]\geq[/tex]4
Alyssa had 59 dollars to spend on 6 books. After buying them she had 11 dollars. How much did each book cost
Which of the following is an odd function? f(x) = 3x2 + x f(x) = 4x3 + 7 f(x) = 5x2 + 9 f(x) = 6x3 + 2x
The odd function from the following function is f(x) = 6x³ + 2x.
What is an odd function?The function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
f(-x) = -f(x)
The functions are given below.
f(x) = 3x² + x
f(x) = 4x³ + 7
f(x) = 5x² + 9
f(x) = 6x³ + 2x
f(x) = 3(-x)² + (-x) = 3x² - x
f(x) = 4(-x)³ + 7 = -4x³ + 7
f(x) = 5(-x)² + 9 = 5x² + 9
f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)
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Answer:
D f(x) = 6x3 + 2x
Step-by-step explanation:
Which statement is true about the expression 12 minus 7 + 3? The expression is equivalent to 12 minus (7 + 3) because of the associative property. The expression is equivalent to 12 + 3 + (negative 7) because of the associative property. The expression is equivalent to 12 minus 3 + 7 because of the commutative property. The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.
Answer:
The Expression is equivalent to 12+3+ negative 7
Step-by-step explanation:
When you sub tract something for example 5-3 the three can be looked at as a negative number. 5-3=2 but 5+ (-3)=2 as well
The associative property indicates that the true statement about the expression is the option;
''The expression is equivalent to 12 + 3 + (negative 7) because of the associative property''
What is the associative property?
The associative property is related to the grouping of the numbers in an operation. According to the associative property changing the grouping of numbers does not change the result of addition and multiplication.
The associative property allows us to change the grouping of the addition operation, so we can rewrite the expression as follows; (12 + 3) + (negative 7), which simplifies to 15 + (negative 7) or 8. The commutative property on the hand, allows us to change the order of the addition operation. However, with regard to the question, it is not relevant because the expression involves addition and subtraction
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How do you do this question?
Answer:
9.29
Step-by-step explanation:
S₄ is the area using Simpson's rule and 4 intervals.
Simpson's rule can be calculated as:
Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))
Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:
S₂ᵢ = (2Mᵢ + Tᵢ) / 3
Using the first method:
Δx = (4−0)/4 = 1
S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)
S₄ = 1/3 (27.88)
S₄ ≈ 9.29
Using the second method:
S₄ = (2M₂ + T₂) / 3
The midpoint area for 2 intervals is:
M₂ = (2) (1.41) + (2) (3.16) = 9.14
The trapezoid area for 2 intervals is:
T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60
Therefore:
S₄ = (2 (9.14) + 9.60) / 3
S₄ ≈ 9.29
Evaluate u’ – 4u + 3 for u
=-3
Enter an integer or decimal number (more..]
Submit Question
1. Write the algebraic expression for:
"Three less than a number.”
X + 3
a.
b.
3 x
X - 3
c.
d.
3.x
Matt has two very active dogs named Theia and Odin who need to eat extra snacks to increase
their caloric intake. He uses math to figure out how much more to feed them. He tracks their
activity level to determine the increase.
The table below shows the number of treats per dog per week.
What is the average rate of change for the number of treats that Odin gets each week between
Week 1 and Week 5?
Week 2
Week 3
Week 5
Odin
Theia
Week 1
7
5
3
2.
00 00
Week 4
9
7
4
5
Week 6
5
6
Answer:
Step-by-step explanation:
That is cheating no help for you sorry
A die is rolled five times and a 5 or 6 is considered a success. find the probability of no. of success?
Answer:
1/3
Step-by-step explanation:
Alkena and Hsu together earn $84,369 per year, If alkena earns $12,468 more per year than Hsu, the how much of them earn per year?
Answer:
Hsu makes $35,950.50 and Alkena makes $48,418.50
Step-by-step explanation:
Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:
a + h = 84,369
a = h + 12,468
Solve by substitution by plugging in h + 12,468 as a:
h + 12,468 + h = 84,369
2h + 12,468 = 84,369
2h = 71,901
h = 35,950.50
Plug this into the equation, a = h + 12,468 , to solve for a
a = 35,950.50 + 12,468
a = 48,418.50
So, Hsu makes $35,950.50 and Alkena makes $48,418.50
A painter paints a wall in x hours, so the fraction of the wall that she paints in 3 hours is
Need Help?
Read It
Answer:
3/x
Step-by-step explanation:
1 wall - x hours
y wall - 3 hours
y = (1*3)/x=3/x
The fraction of the wall that she paints in 3 hours is 3/x.
Here,
A painter paints a wall in x hours.
We have to find, the fraction of the wall that she paints in 3 hours.
What is fraction?
A fraction simply tells us how many parts of a whole we have.
Now,
Here, A painter paints a wall in x hours
1 wall = x hours
Let number of walls is z when she paints in 3 hours.
z wall = 3 hours
Hence, The fraction of the wall that she paints in 3 hours =( 1 x 3)/x
= 3/x
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Simplify negative 3 over 4 divided by 2 over negative 8 .
Answer:
3/4 1/4
Step-by-step explanation:
Answer:
im pretty sure its three i did this question as well
Step-by-step explanation:
I converted each fraction into a decimal because its just eaiser for me that way and -3/4 is .75 and - 2/8 is -.25 and if you divide those you get three :)
The table below shows the number of students who attend various after-school activities. After-School Activities Activity Number of Students Spanish Club 19 Basketball 24 Drama 15 Homework Help 17 Soccer 20 Which ratio compares the number of students in the Spanish club to the total number of students? a.19:95 b.20:95 c.95:24 c.95:19
Answer:
C. 95:19
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
because the total number of students is 95 and those who play Spanish club is 19
Can you please help me with this question and i will give you a Brain list
Answer:
- A reflection can be done on a point, shape, or object
- A reflection flips a shape across a line
Step-by-step explanation:
A reflection is a rigid transformation, meaning that the object that you are reflecting does NOT change size or shape. A reflection is when you graphically "flip" an image across a line such as the x-axis or the y-axis.
7:00PM For dinner, you decide to go out to eat at a restaurant with your significant other. The bill is $32.43, and you would like to leave a 20% tip for your waiter. What will the amount of the tip be and what is the final amount of your bill? Remember to round all values to the nearest cent.
Answer:
Tip amount: $6.49
Final amount of the bill: $38.92
Step-by-step explanation:
We need to calculate the tip amount which is 20% of $32.43.
Then we will add the tip amount to $32.43.
To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.
20% of $32.43 =
= 0.2 * $32.43
= $6.486
We round off the tip amount to the nearest cent, $6.49
The tip amount is $6.49
To find the final amount of the bill, we add the tip amount to the bill amount.
$32.43 + $6.49 = $38.92
Minimum value of C=x+3y
Answer:
DNE
Step-by-step explanation:
If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.
If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.
We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist.
A company increased the number of its employees from 320 to 400. What was the percent increase in employees?
Answer:
25% increase.
Step-by-step explanation:
4+y when y = 18 would the answer be 22
Answer:
22
Step-by-step explanation:
4+18=22 if y is solved for 18 in the equation 4+y= the answer would be 22.
Answer:
22
Step-by-step explanation:
Evaluate y + 4 where y = 18:
y + 4 = 4 + 18
Hint: | Evaluate 4 + 18 using long addition.
| 1 |
| 1 | 8
+ | | 4
| 2 | 2:
Answer: 22
4.2(5.1x+6.8) Simplify the expression
Answer:
21.42x+28.56
Step-by-step explanation:
Expand: 4.2×5.1×x+4.2×6.8
4.2×5.1×x to (21.42)x
Simplify: 21.42x+4.2×6.8
4.2×6.8 = 28.5628.56
21.42x+28.56
Hello, I’m having trouble with this math problem and would appreciate it if I’d get help
Step-by-step explanation:
we have the equation
[tex]C=1.02x+153[/tex]
19. cost when x=250
[tex]C=1.02(250)+153\\\\C=408[/tex]dollars
20. what does the slope means in the context
it means the regular increase of the cost, in other words, how much is the cost increasing per mile driven
21. what does the y-intercept means in the context
it means the starting cost of only renting the car one day, not even driving it, it's the lowest cost you can get