Use slopes to determine if the lines -3x + 5y = -2 and 2x + 3y = 8 are perpendicular.
Answer:
No they are not
Step-by-step explanation:
The slope for the first equation is 3/5 and the second is -2/3. They need to be negative reciprocals of each other to be perpendicular.
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is this answer correct? if not can somebody tell me what is the correct answer
Step-by-step explanation:
yes your answer is correct
Answer:
yes
Step-by-step explanation:
If b = -2, what is 3b-7 ?
29. What is the 10th term of the geometric sequence 6, -24, 96, ...? Explain
The 9th term of the geometric sequence 6, 24, 96, ... is 393216
What is Sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
The given sequence 6, 24, 96, ...
six, twenty four, ninety six
a is first term=6
r is common ratio = 24/6=4
The nth term of Geometric sequence aₙ=a.rⁿ⁻¹
9th term a₉=6(4)⁸
=6(65536)
=393216
Hence, the 9th term of the geometric sequence 6, 24, 96, ... is 393216
A circle fits in a square with sides of 12 inches. What is the approximate area of the shaded region between the square and the circle? (Use 3.14 for and round to the nearest whole number.) 12 inches 12 inches
Answer:
Step-by-step explanation:
Thus this area is 12^2 which is 144 sq. in. The area for the circle is dependent on the radius which would be half the diameter or length of the square. The formula for the area of a circle is πr^2 so 36π is the area of the circle
Ezra has 21 chickens in a pen. He plans on adding 3 chickens every month to the pen. Based on this information, which representation shows this relationship between the number of chickens in the pen, y, and the number of months that have passed, x?
Answer:
Linear graph
y = 3x + 21
Step-by-step explanation:
ميل المستقيم المار بالنقطتين (1,5-), (1,3)
Answer:
-1
Step-by-step explanation:
(x₁ , y₁) = (1 , 3)
(x₂ , y₂) = (-1 , 5)
\(Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\)
\(=\frac{5 - 3}{-1-1}\\\\=\frac{2}{-2}\\\\= -1\)
The table shows the test scores of students who studied for a teat as a group (group a) and students who studied individually (group b).
Which would be the best measures of center and variation to use to compare the data?
Answer:
https://rr.noordstar.me/83819a0f
Answer: B
Step-by-step explanation:
I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:
A - If it's skewed Mean wouldn't be used
C - If it's Symmetric IQR wouldn't be used
D - If it's skewed Standard Deviation wouldn't be used
The shaded area on the grid represents the part of a rectangular wall that was painted. Each small square on the wall has the same dimensions. What percentage of the wall was painted?
Answer:
68
Step-by-step explanation:
There are total of 5*5 = 25 rectangles on the wall. 17 of these are painted.
17 / 25 = 17*4 / 100
17 * 4 = 68
Answer 68%
Step-by-step explanation:
You accelerate from 5m/s to 60m/s in 11 seconds what is the average acceleration.
Change in acceleration: 60 - 5 = 55 m/s
Average acceleration = 55 m/s / 11 second = 5 meters per second squared ( m/s^2)
Answer: 5 m/s^2
What is the probability that Amelia rolls a 5 on the first roll?
Answer: 1/6
Step-by-step explanation: If this is in reference to a die then that is your answer because there are 6 sides
Name the quadrant in which the angle below is located.
sinθ = 4/7 and cosθ is positive.
a. II
b. IV
c. III
d. I
What is a quadrant?
A quadrant can be defined as a region or part of a cartesian plane that is obtained when the two axes x and y intersect each other at 90°. There are four regions formed.
They are called quadrants. each is denoted by Roman numerals and named as Quadrant I, Quadrant II, Quadrant III, or Quadrant IV based on their position with respect to the axes.
All angles Sin, cos, and tan are positive on the first quadrant. This is because they fall on the positive and y axes respectively.
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Given sinθ = 4/7 and cosθ is positive. because the sine and cosine are both positive, it is right to conclude that the angle is in the first quadrant. (Option D).
What is a Quadrant?Each of the four portions of the coordinate plane is represented by a quadrant. And when we talk about sections, we mean sections as defined by the coordinate axes.
So the x-axis is right here, and the y-axis is up and down. It divides a coordinate plane into four pieces, as you can see.
Given sinθ = 4/7 [Note that the Sine is positive in the first and second quadrants]
for Cos θ > 0 [The cosine is positive in the first and fourth quadrants]
⇒ θ ∈ (0, π/2) [The Angle belongs to the first quadrant]
Hence, the angle is in the first quadrant because the sine and cosine are both positive.
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In ΔGHI, g = 240 cm, m m∠H=157° and m m∠I=17°. Find the length of h, to the nearest 10th of a centimeter.
Check the picture below.
\(\textit{Law of Sines} \\\\ \cfrac{a}{\sin(\measuredangle A)}=\cfrac{b}{\sin(\measuredangle B)}=\cfrac{c}{\sin(\measuredangle C)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{h}{\sin(157^o)}=\cfrac{240}{\sin(6^o)}\implies h\sin(6^o)=240\sin(157^o) \\\\\\ h=\cfrac{240\sin(157^o)}{\sin(6^o)}\implies h\approx 897.1~cm\)
Make sure your calculator is in Degree mode.
In the equation -2 - 6b = 32, the negative coefficient is ___________________.
Answer:-2
Step-by-step explanation:
It’s not -6b because that is showing that it’s getting subtracted
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Do the following exercise. A person with 4 exemptions making between $380 and $400 would have $ withheld. A person with 2 exemptions making between $620 and $640 would have $ withheld. A person with 1 exemption making $470 would have $ withheld. A person with 3 exemptions making between $560 and $580 would have $ withheld. Harry Hardworker had $10.00 withheld. What is his wage range? .
Harry Hardworker's wage Range is $470.
The Harry Hard worker's wage range, we need to examine the given information and find the appropriate wage range that corresponds to the amount of money withheld, which is $10.00.each piece of information:
1. A person with 4 exemptions making between $380 and $400 would have $ withheld.
This information implies that the person's wage falls within the range of $380 to $400.
2. A person with 2 exemptions making between $620 and $640 would have $ withheld.
This information indicates that the person's wage falls within the range of $620 to $640.
3. A person with 1 exemption making $470 would have $ withheld.
This information tells us that the person's wage is exactly $470.
4. A person with 3 exemptions making between $560 and $580 would have $ withheld.
This information suggests that the person's wage falls within the range of $560 to $580.
From the given data, we can conclude that Harry Hardworker's wage is within one of these ranges. However, since we know that $10.00 was withheld from his paycheck, we need to find the corresponding wage range.
Looking at the information provided, we can see that the only wage range that includes $10.00 as the amount withheld is the range associated with a person having 1 exemption and making $470.
Therefore, Harry Hardworker's wage range is $470.
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6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers
Answer:
6.60÷2=3.30
Step-by-step explanation:
6.60÷2=3:30
Find the values of x and z
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
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3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
How much money will there be in an account at the end of 7 years if $4000 is deposited at 6% interest
compounded quarterly? (Assume no withdrawals are made.)
Answer:
$10,720.00
Step-by-step explanation:
9514 1404 393
Answer:
$6068.89
Step-by-step explanation:
The compound interest formula tells you the amount will be ...
FV = P(1 +r/n)^(nt)
for principal P at annual rate r compounded n times per year for t years.
FV = $4000(1 +.06/4)^(4·7) = $4000(1.015^28) ≈ $6068.89
There will be $6068.89 in the account at the end of 7 years.
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is the one on the first option.
S= {1, 2, 3, 4, 5, 6, 7}
What is the sample space?
For any experiments with some given outputs, the sample space is the set of the possible outputs.
For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}
Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:
S= {1, 2, 3, 4, 5, 6, 7}
So the correct optionis the first one.
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Answer:
The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
that's it simple
Which of the following is the largest decimal number? *
0.231 .231 .03 .2
If you are god of math you can try this
Answer:
BRO, u dont need to be a god :D, This is simple math and you just need to use your brains
Step-by-step explanation:
Given is a polynomial, and the values of the variables in it are given by showing what set are they an element of, right? It just gets easier from here
They tell us that 'z' is an element of set C, which stands for Complex Numbers.
And they also tell us that 'a' is an element of set Z, which stands for Integers, which are just numbers with a sign :).
They have also given us a root (solution) to the polynomial, which is also a complex number.
The two statements given are just there for us to verify that we are on the right track to the solution.
We can see that (z = 3 + i) which of course is a complex number, due to the presence of 'i', and 'a' is an integer for when we find its value.
Put it all together and we will get the answer.
Like this,
take the given value of 'z' and place it into the polynomial given, now keep your eyes open here. They said the value of z is as such when the polynomial is an equation which equals 0, so hence we get this:
P(z) = a(3+i)³ - 37(3+i)² + 66(3+i) - 10 = 0,
now just go on simplifying,
=> a(3³+i³+3×3²i+3×3i²) - 37(3²+2×3×i+i²) + 66×3 + 66×i - 10 = 0
=> a(27-i+27i-9i) - 37(9+6i-1) + 198 + 66i - 10 = 0
=> a(27+17i) - 37(8+6i) + 188 + 66i = 0
=> a(27+17i) = 296 + 222i - 188 - 66i
=> a(27+17i) = 108 + 156i
=> a = (108+156i) / (27+17i)
=> a = (108+156i)(27-17i) / (27)² - (17i)²
=> a = (5568 + 2376i) / (699 + 289)
=> a = 5568 + 2376i / 1488
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Complete the statement describing the key features of function h. Function h has an x-intercept of -3, an x-intercept of 0, an x-intercept of 1, no x-intercept and a y-intercept of -3, 0, 1. The function is positive for x>-3, x>0, x>1, all x and increasing, decreasing on all intervals of x. The average rate of change for the function on the interval [0,2] is 4.5, 7.5, 9, 15. Saved the answer
The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.
Describe Function?Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.
The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.
Function h has an x-intercept of 1 and a y-intercept of -3. The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5
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can you guys help me pls this is my final :(
Answer:
look up on math..way:)
Step-by-step explanation:
what is the formula to find time from distance
The formula to find time from distance is time = distance/speed
How to determine the formula of time?As a general rule, the formula of speed is
Speed = Distance/Time
Multiply both sides by Time
Time * Speed = Distance
Divide both sides by Speed
he formula to find time from distance
Hence, the formula to find time from distance is time = distance/speed
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Change 1.234 to a percent
Answer:
1.234 / 100 = 0.01234
Therefore;
0.01234 x purchase price = profit
same as
purchase price / 1.01234 = profit
formula Cost or initial Price x ( % / 100 )
and show % as a whole number ie ) 1.234 / 100 = 0.01234
= cip x 1.01234 = profit
When we divide by 100 the 1 moves two spaces to the right.
when we have to find initial price from given sale price
we deduct given percentage from 100% and use that to multiply with instead omitting the 1 if its depreciating or adding the 1 if its original price ticket.
Select the correct answer from the drop-down menu.
C and D
because root(4) = 2
C = 2 1
1 2
2 1
You rent an apartment that costs $1100 per month during the first year, but the rent is set to go up $110 per year. What would be the monthly rent during the 11th year of living in the apartment?
Pls answer
Answer: The initial cost on rent on your first year living there is 1100. Supposing you live there for another 11 years your rent would be 2200 per month.
Step-by-step explanation:110x11=1100 1100+1100=2200
Answer: I think it's 1,100
Step-by-step explanation: We know that the apartment costs $1100 per month during the first year but if it goes up 110 dollars per year how much would total be in 11th year?
First we need to multiply 1100 and 110 which equals 121,000
Secondly, of course we need to make sure that our anwser is correct, now we divide 121,000 with 11 years (which equals 1100)
But of course if it is not correct, I'm very sorry. But Have a nice day/night!
Hope it helped!
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