Answer:
132°Step-by-step explanation:
If line PS has midpoint a Q and ray QR, then line PQS will be a straight line and <PQR + <RQS = 180 (sum of angle on a straight line).
Given
<PQR = 3x-6
<RQS = x+ 2
To get x, we will use the relationship above;
3x-6+x+2 = 180
4x-4 = 180
add 4 to both sides
4x-4+4 = 180+4
4x = 184
x = 184/4
x = 46
Since <PQR = 3x-6, we will substitute the value of x into the formula;
<PQR = 3x-6
<PQR = 3(46)-6
<PQR = 138-6
<PQR = 132°
Hence the size of angle PQR is 132°
On average, water flows over a particular water fall at a rate of 2.05 x 105 cubic feet per second. One cubic foot of water weighs 62.4 lb. Calculate the rate of water flow in tons of water per day. (1 ton = 2200 lb)
Answer:
5.024 × 10^8 tons /day
Step-by-step explanation:
This question has to deal with conversion
We are told in the question that:
On average, water flows over a particular water fall at a rate of 2.05 x 10^5 cubic feet per second.
Water flow rate = 2.05 × 10^5 ft³/s
From the question,
One cubic foot of water weighs 62.4 lb.
1 ft³ = 62.4 lb
1 ton = 2200 lb
We are to calculate the flow rate in tons per day
Hence,
1 ft³ = 62.4 lb
2.05 × 10^5 ft³ =
Cross Multiply
2.05 × 10^5 × 62.4
= 12792000lb
Hence the water flow rate = 12792000lb/s
From the question,
2200 lb = 1 ton
12792000 Ib =
Cross Multiply
12792000lb × 1 ton/2200 lb
= 5814.5454545 tons
Hence the water flow rate = 5814.5454545 tons/second
We want the flow rate to be in tons/day
1 ton / second = 86400 tons / day
5814.5454545 tons/second = x tons/ day
Cross Multiply
x = 5814.5454545 tons/second × 86400 tons /day/ 1 ton / second
= 502376727.27 tons/day
= 5.0237672727 × 10^8 tons/day
Approximately ≈ 5.024 × 10^8 tons /day
Therefore, the rate of water flow in tons of water per day is 5.024 × 10^8 tons of water /day
There are two numbers which add up to 29. If one number is 1 more than the other, find the two numbers.
The required smaller number is 14, and the larger number is one more than that, or 15.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let's call the smaller number x. Then the larger number is x + 1, because we know it is one more than the smaller number. We can set up an equation based on the fact that the two numbers add up to 29,
x + (x + 1) = 29
Simplifying this equation, we get:
2x + 1 = 29
Subtracting 1 from both sides, we get:
2x = 28
Dividing both sides by 2, we get:
x = 14
So the smaller number is 14, and the larger number is one more than that, or 15.
To check, we can add the two numbers together:
14 + 15 = 29
Learn more about models here:
https://brainly.com/question/22591166
#SPJ5
find square root of 56 using long division method
Answer:
7.48331 or 7.5 if you round it
Step-by-step explanation:
17. Find the mistake below.
Step 1:
9-5(2x + 4 - 3) = -28
Step 2:
9 - 5(2x + 1) = -28
Step 3:
4(2x + 1) = -28
Step 4:
8x + 4 = -28
Step 5:
8x = -32
Step 6:
x = -4
When did the mistake first appear?
A. Going from Step 1 to Step 2
B. Going from Step 2 to Step 3
Ο Ο Ο
C. Going from Step 3 to Step 4
D. Going from Step 4 to Step 5
Answer:
Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation: Step
Statement
1
2
3x + 7 = 15
x + 7 - 7 = 15
ža
3
= 15
4.
3
= 3.15
5
r = 45
Which statement is true?
A. Jake made a mistake in step 2.
B.
Jake made a mistake in step 4.
C.
Jake made a mistake in step 5.
OD Jake solved the equation correctly.
Answer:
If the air trolley ended at 60 km and it traveled 20 km- what was its starting position?
Step-by-step explanation:
Step-by-step explanation:
Is it true that all while numbers are integers
Answer:
n o
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
A whole number is a number greater than or equal to zero that does not have any fractions and/or cannot be written with a fractional component. It can also be defined as an integer, though it should be noted that integers include negative numbers. 3, 5, 14, 2, and 0 are all whole numbers and are also all integers. 1.5, 16.32, and -4.598 are not whole numbers and are thus not integers.
Simplify each expression.
(a^2b^-3)^2
(a^-2b^2)
Answer:
[tex](a^2b^{-3})^2=(a^4b^{-6})=\frac{a^4}{b^6}[/tex]
[tex](a^{-2}b^2)=\frac{b^2}{a^2}[/tex]
Answer:
1st one is c, the second one is d
Step-by-step explanation:
Point M is on line segment \overline{LN} LN . Given LN=3x+3,LN=3x+3, LM=4x,LM=4x, and MN=2x,MN=2x, determine the numerical length of \overline{MN}. MN .
Answer:
2 units.
Step-by-step explanation:
It is given that point M is on line segment LN. So,
[tex]LN=LM+MN[/tex] (Segment addition property)
The given values are LN=3x+3, LM=4x, and MN=2x. Substitute these values in the above formula.
[tex]3x+3=4x+2x[/tex]
[tex]3x+3=6x[/tex]
Subtract 3x from both sides.
[tex]3x+3-3x=6x-3x[/tex]
[tex]3=3x[/tex]
Divide both sides by 3.
[tex]1=x[/tex]
[tex]x=1[/tex]
The value of x is 1.
Now,
[tex]MN=2x=2(1)=2[/tex]
Therefore, length of MN is 2 units.
Caleb is selecting cards from a set of 12 cards numbered 1-2-4-4-5-5-5-5-6-9-10-13.
What is the probability that Caleb selects a 5 on the first selection, returns the card to the deck, shuffles the card, and then draws a 5 on the second selection? Express your answer as a fraction in lowest terms.
1-2-4-4-5-5-5-5-6-9-10-13.
Step-by-step explanation:
it back ward
two consecutive numbers that lie between the square root of 10
Answer:
3, 4
Step-by-step explanation:
9 < 10 < 16
=> sqrt(9) < sqrt(10)<sqrt(16)
=> 3 < sqrt(10) < 4
soud spheucal
balls each of diameter
are dropped into a cylindrice
bearen containin
up to heigne
and are sunny
somengue
diameeld of ene
bearen is 5.6in
wal
Answer:
i think
i think it is not complete please tell the complete the question
Step-by-step explanation:
How do you write x² − 8x in vertex form?
Answer:
Step-by-step explanation:
y=(x-4)^2-16
Best answer will get brainly
Answer:
6 bars on the histogram
2 of the bars represent 12+students with complete paintings
the actual fraction is 2 out of 6 I believe
Step-by-step explanation:
find the midpoint (-3,0), (8,-10)
Answer:
Let the midpoint be M(x,y)
x=(-3+8)/2
x=5/2=2.5
y=(0-10)/2
y= -10/2= -5
M(2.5, -5)
Which whole number property was used?
23 + 2 = 2 + 23
Commutative Property of Addition
Associative Property of Addition
Identity Property
Answer:
Commutative Property of Addition
Step-by-step explanation:
Answer:
Commutative Property of Addition
Step-by-step explanation:
Inequality: 3-4x>3x-18 =x<3 does x=0 satisfy the inequality? Explain ur answer
Answer:
30
Step-by-step explanation:
william is using a 1.75-liter container to fill a 14-liter container of water. about how many times will he need to fill the smaller container?
please question?!!!
Answer:
x=8
Step-by-step explanation:
It is given that, William is using a 1.75-liter container to fill a 14-liter container of water. We need to find how many times will he need to fill the smaller container?
Let x times he fill the smaller container. It can be calculated by dividing the larger value by the smaller value.
[tex]x=\dfrac{14}{1.75}\\\\x=8[/tex]
So, 8 times he needs to fill the smaller container.
Norris currently has an account balance of $3,703.05. He opened the account 25 years ago with a deposit of $1,725.95. If the interest compounds monthly, what is the interest rate on the account? (3 points)
Answer:
R = 3.057% per year
Step-by-step explanation:
This is a compound interest question
From the question, we have the following information
P = Principal = $1,725.95.
A = Amount after 25 years = $3,703.05
T = Time = 25 years
n = Compounding frequency = compounded monthly = 12
r = interest rate = ???
The formula to calculate the interest rate in a compound interest question =
r = n[(A/P)^1/nt - 1]
r = 12[($3,703.05/$1,725.95)^1/12× 25 - 1]
r = 3.057%
Therefore, the interest rate on the account is 3.057%
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 minutes to reach mile marker 3. When she reaches mile marker 6, she notes that 8 minutes total have passed since mile marker 0. What is the average speed of the car in miles per minute?
Answer:
4 minutes = mile mark 3
8 minutes = mile mark 6
the constant of proportionality is both 3/4 so the answer is 3/4 miles per minute
A small town's raffle has 85 entries and 3 gift baskets that three different people could win. What is the probability of winning a gift basket if you have 1 of the entries? [1 point]
Answer: 3 / 85
Step-by-step explanation:
Given the following :
Number of gift basket = 3
Nunber of entries = 85
Probability of winning a gift basket if you have one of the entries :
With one entry, one has a chance of winning one of 3 gift baskets
Hence, the required outcome of one entry = 3
Total possible outcomes = number of entries = 85
P(winning a gift basket with one entry) :
Required outcome / Total possible outcomes
= 3 / 85
Also, it could be calculated thus ;
Probability of one entry from a total of 85;
= 1/ 85.
And one entry has a Chance of winning one of 3 different gift baskets
Hence (1/85 × 3) = 3/85
Answer:
Answer is 3/85.
Step-by-step explanation:
There is no need for one, periodt.
In the blank next to the distribution shape, type YES if is most often appropriate to use the mean, or NO if it is not.
1.Bell-shaped
2.Bi-model
3.Skewed
4.Symmetric
5.Uniform
=======================================
Explanations:
A bell shaped curve is symmetric, meaning one half is a mirror copy of the other half. The mean, median and mode are both at the same value: at the center (which is where the peak is located). A bimodal curve is one where it has two peaks. This is because it has 2 modes. Both peaks are the same height. If one height was taller, then you'd only have 1 mode. The mean wouldn't be as useful because we'd lose information about the two different modes. The mean would be somewhere in between the two peaks, where not much data points reside. A skewed distribution is one where the tail is pulled from the main group/cluster. This pulls on the mean to be distorted from the center. If the tail is pulled to the right (right-skewed or positively skewed) then the mean is larger than it should be. If the tail is pulled to the left (left-skewed or negatively skewed) then the mean is smaller than it should be. It's better to use the median in this case. Example: home prices where large mansions are large outliers to make the mean larger than it should be, so the median home price is used instead.As discussed in part 1 above, the mean is useful here. A bell shaped curve is one type of symmetric curve, but there are infinitely many other kinds of symmetric curves possible. All that matters is that one side is reflected over the vertical center line to get the other half.A uniform distribution is symmetric. If the left and right endpoints are p and q, then the mean (p+q)/2 is the center and it is useful.Great questions! Now, I'll tell you:
First, perform a rotation 90 degrees clockwise.
Then. translate the figure 1 unit left and 3 units down.
Drag the green points to reflect the new shape. What are points K', L', M', and N'?
Answer:
answer:
the answer is -5
step-by-step explanation:
for an instance you lost 3 fingers of your one hand only to lose the other two then you won't have any finger in one hand therefore you have 5 less (-5) fingers. charot
The letter B represents a nonzero constant. Solve bx= -7 for x
Need help ASAP!!!!
Answer:
X=-7/B but I'm not sure if more steps are required for full simplification.
The length of a rectangle is 3 m greater than two times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
Answer:
60
Step-by-step explanation:
i think , hopes this help :)
use Euler's method with a step size of 0.4 to approximate the solution of the differential equation y'=2xy; y(1)=2, at x=3
Answer:
Approximate solution is 541.
Step-by-step explanation:
y' = 2xy, Δx = 0.4.
Make a table:
x y y' y' Δx + y
1 2 4 4*0.4 + 2 = 3.6 <---this is the new y value.
1.4 3.6 10.08 7.632
1.8 7.632 27.48 18.624
2.2 18.624 81.95 51.70
2.6 51.70 268.85 159.24
3 159.24 955.44 541.4
14a²b
7a²b
=
Simplify
Step-by-step explanation:
if14a^2b/7a^2b answer is 2
and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b
i need help with biconditnoal statement for the conditional statement
if a figure extends in only one direction, then it is a ray
In this expression Marianna claims that 2X And negative X are not like terms because -x doesn't have a coefficient.Is she correct?Explain your reasoning
Answer:
She is incorrect
Step-by-step explanation:
Given:
2x and -x
Required
Like term or not?
Like terms are determined by the term itself and not by their coefficients;
Take for instance;
[tex]x^2[/tex] and [tex]2x[/tex] are not like terms because a term has square while the other doesn't
Another instance;
[tex]-3x[/tex] and [tex]2x[/tex] are like terms because they both have the presence of just 1 x
In Marianna's case;
2x and -x are like terms;
Reason being that: -x can be rewritten as -1x; giving it a coefficient of -1
which point could C be located?
Answer:
Step-by-step explanation:
(-2,-3)
quick question please help!
Answer: for this u neeed to find out the coefficient umbers
Step-by-step explanation:
Diego and Amit were trying to solve the equation: x^2-8x=1x 2 −8x=1x, squared, minus, 8, x, equals, 1 Diego said, "I can solve by completing the square. If I add 161616 to each side, I can rewrite the equation as (x-4)^2=17(x−4) 2 =17left parenthesis, x, minus, 4, right parenthesis, squared, equals, 17." Amit said, "I'll subtract 111 from each side and rewrite the equation as x^2-8x-1=0x 2 −8x−1=0x, squared, minus, 8, x, minus, 1, equals, 0. Then I'll use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=-1c=−1c, equals, minus, 1." Whose solution strategy would work? Choose 1 answer: Choose 1 answer: (Choice A) A Only Diego's (Choice B) B Only Amit's (Choice C) C Both (Choice D) D Neither
Answer:
Both.
Step-by-step explanation:
Answer:
both
Step-by-step explanation:
guy above me is right