Answer:6
Step-by-step explanation:
-4xy
-4(1/2)(-3)
-4(-1.5)
6
At 5 p.M., the temperatures recorded at two weather stations in Antarctica are -6 degrees and 2 degrees. The temperature changes at the same constant rate, x degrees per hour, throughout the night at both locations. The temperature at the first station 3 hours after this recording is the same as the temperature at the second station 4 hours after this recording.
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
-3,0 and 2 are the zeroes of the polynomial p(X)=x³+(a-1)x²+bx+c ,find a,c.
Answer:
a = 2
b = - 6
c = 0
Step-by-step explanation:
Since, -3,0 and 2 are the zeroes of the polynomial
[tex] Plug \:x = 0\: in \:p(X) \\
\implies p(0)= 0\\
\therefore 0= 0^3 +(a-1)(0)^2 +b(0)+c\\
\therefore 0= 0 +(a-1)\times 0 +b(0)+c\\
\therefore 0= 0 +0+0+c\\
\red{\bold{\therefore 0=c}}.....(1)\\\\
p(X)=x³+(a-1)x²+bx+c. \\
Plug \:x = -3\: in \:p(X) \\
[tex] \implies p(-3)= 0\\
\therefore 0= (-3)^3 +(a-1)(-3)^2 +b(-3)+c\\
\therefore 0= -27 +(a-1)\times 9 +b(-3)+c\\
\therefore 0= - 27 +9a-9 - 3b+c\\
\therefore 0= - 36+9a-3b+c\\
\therefore 36 =9a-3b+c... (2)\\
Plug \:c= 0\: in \:equation \: (2)\\
36= 9a - 3b + 0\\
36= 9a - 3b\\
36= 3(3a - b) \\
\purple {\bold{12 = 3a - b}} .... (3)\\\\
Plug \:x = 2\: in \:p(X) \\
\implies p(2)= 0\\
\therefore 0= 2^3 +(a-1)(2)^2 +b(2)+c\\
\therefore 0= 8 +(a-1)\times 4 +b(2)+c\\
\therefore 0= 8 +4a-4+2b+c\\
\therefore 0= 4 +4a+2b+c\\
\therefore - 4=4a+2b+c.....(4)\\
Plug \:c= 0\: in \:equation \: (4)\\
- 4 = 4a +2b+0\\
-4= 2(2a+b)\\
\orange{\bold{-2=2a + b}} .......(5)\\\\[/tex]
Adding equation (3) and (5), we find:
12 = 3a - b
-2 = 2a + b
_________
10 = 5a
10/5 = a
a = 2
Plug a = 2 in equation (5)
-2= 2(2) + b
-2 = 4 + b
-2 - 4 = b
-6 = b
b = - 6
Help asap it’s math and I’m not sure about this one
Answer:
1/2
Step-by-step explanation:
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What percent were not absent?
Answer:
i THINK 43% but im not for sure
Step-by-step explanation:
14% of 50 is 7
so 50-7=43
43(percent there)+7(percent gone)=50 (number of students)
SO 43% is still there.
SORRY IF IM WRONG have a good night :)
how many 0.5-pound packages can be made with 7 pounds of sunflower seeds?
Answer:
14. :D
Step-by-step explanation:
ana can swim at a rate of 3/8 mile in 1/3 hour.
What is the least positive integer divisible by each of 1, 3, 5, and 7?
Answer:
105
Step-by-step explanation:
You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.
LCM = 3 * 5 * 7 = 105
The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.
In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.
In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:
= 1 × 3 × 5 × 7 = 105
Therefore, the number is 105.
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Does the table, graph, or equation represent a linear or nonlinear function? EMERGENCY I need help
Answer:
Nonlinear
Step-by-step explanation:
This is because the x^2. If there are any exponets, the equation would be considered nonlinear.
Hope this helps!
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
The amount of the school supply kit after the discounted price is $ 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
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equations with variables on both sides: decimals and fractions, algebra 2 0.5s + 1 = 7 + 4.5s
Final Answer: [tex]s = -\frac{3}{2}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals and fractions, algebra 2. [tex]0.5s + 1 = 7 + 4.5s[/tex].
Step 1: Subtract [tex]0.5[/tex] from both sides.
[tex]1 = 7 + 4.5s - 0.5s[/tex]
Step 2: Simplify [tex]7 + 4.5s - 0.5s[/tex] to [tex]7 + 4s[/tex].
[tex]1 = 7 + 4s[/tex]
Step 3: Subtract [tex]7[/tex] from both sides.
[tex]1 - 7 = 4s[/tex]
Step 4: Simplify [tex]1 - 7[/tex] to [tex]-6[/tex].
[tex]-6 = 4s[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]-\frac{6}{4} = s[/tex]
Step 6: Simplify [tex]\frac{6}{4}[/tex] to [tex]\frac{3}{2}[/tex].
[tex]-\frac{3}{2} = s[/tex]
Step 7: Switch sides.
[tex]s = -\frac{3}{2}[/tex]
~I hope I helped you :)~
Find the area of the irregular figure.
2 in.
3 in.
5 in.
A = [ ? ]in.2
3 in.
2 in.
4 in.
4 in.
Answer:
area = 35 in²
Step-by-step explanation:
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
URGENT, PLEASE ANSWER.
-5
Solve the inequalities!
15 points if you answer and trolls will be reported.
Answer: x= -1
Step-by-step explanation:
1 Subtract 44 from both sides.
x=3-4x=3−4
2 Simplify 3-43−4 to -1−1.
x=-1x=−1
Answer: x > -9 and x [tex]\leq[/tex] -1
Step-by-step explanation:
-5 < x + 4[tex]\leq[/tex] 3 To solve the inequality, subtract 4 from both sides or u can divide the whole thing into two inequalities like, -5 < x + 4 and x + 4 [tex]\leq[/tex] 3 and solve for each other.
-5 < x + 4 [tex]\leq[/tex] 3
-4 -4 -4
-9 < x [tex]\leq[/tex] -1
or
-5 < x + 4 x +4 [tex]\leq[/tex] 3
-4 -4 -4 -4
-9 < x x ≤ -1
2+2+4 because 1+1+1+1=4 easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
please help me I dont know the answer
Answer:
2.71
Step-by-step explanation:
Its as simple as plugging in the values of y and z.
THis would give you
-1.46 + (-3.82) + 7.99
This plus^ you can think about having a 1 in front of it like
-1.46 + 1 (-3.82) +7.99
Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:
-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71
Answer:
2.71
Step-by-step explanation:
We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.
We'll then take our -5.28 and add 7.99, which will become 2.71.
Therefore, 2.71 is your answer.
So in an atom, are there the same number of protons as electrons??? If so, then how are some electrons and protons negative and positive. And also, what is the net charge??
***IK that this isn't a math question but no one answers in science . . .
Answer:
If an atom has the same number of protons and electrons then it is electrically neutral. Not all atoms have to have the same number of atoms because the number of electrons can be changed with the element remaining the same. Protons have a positive charge while electrons have a negative charge. The net charge is dependent on the number of protons and electrons. If it has more protons it would have a higher amount of positive charge therefore making it a positive net charge. The same thing applies with electrons just opposite.
If the atom has no charge (neutral) then there are the same number of protons and electrons. The positive protons cancel out with the negative electrons to produce this neutral state. We can say the net charge is 0 here.
Now if you take away one or more electrons, then there will be more positive protons to outnumber the negative electrons. Overall, the net charge will be positive. For example, if the atom loses 3 electrons, then you'll have a net charge of [tex]3^{+}[/tex]. These positively charged ions are known as cations. You pronounce this as "cat-ion" instead of "catshun".
On the flip side, if you add electrons to an atom, then you'll make the net charge overall to be negative. So let's say we add 4 electrons. We'll have the net charge be [tex]4^{-}[/tex] and this is an anion. To pronounce "anion" you would say "an ion" instead of "anyun".
cation = positively charged ion (less electrons compared to protons)anion = negatively charged ion (more electrons compared to protons)---------------
In short, the number of protons and electrons are the same if the net charge is 0 and we're not dealing with ions. If you are dealing with ions, then the two counts will not be the same. Note how in the examples above, I didn't change the number of protons. Doing so would change the overall element entirely.
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 27 miles at a speed of 9 mph, while Bob's
motorboat traveled 36 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
OA
2 hours
ОВ.
6 hours
OC.
5 hours
OD. 3 hour please help me with this
Answer:
D- 3 hours long they were traveling
Step-by-step explanation:
27÷ 9= 3
36÷ 12= 3
Is 0.25 rounded to 0.3
Answer: Yes, round it to the nearest tenth
Pls answer this 100 points pls HELP
Answer:
The answer is
N+ 1 = 3+2/2
=3
Step-by-step explanation:
The answer is 3
This is a odd number
Answer:
N + 1 = 3+ 2/2 =3
Step-by-step explanation:
I'm pretty sure is odd because it has the number three(3) and the number three (3) is odd.
I didn’t understand how to solve this, i’d be happy if someone explained thank you
Answer:
Option (E)
Step-by-step explanation:
[tex]\frac{a}{b}=\frac{c}{d}=k[/tex]
[tex]\frac{a}{b}=k[/tex]
[tex]b=\frac{a}{k}[/tex] ------(1)
[tex]\frac{c}{d}=k[/tex]
[tex]d=\frac{c}{k}[/tex] -------(2)
Since, [tex]\frac{6a+24}{md+6b}=k[/tex]
By substituting the values of b and d from equation (1) and (2),
[tex]\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k[/tex]
[tex]\frac{k(6a+24)}{6a+mc}=k[/tex]
[tex]\frac{6a+24}{6a+mc}=1[/tex]
6a + 24 = 6a + mc
mc = 24
m = [tex]\frac{24}{c}[/tex]
Therefore, Option (E) will be the correct option.
Which one is correct? Please hurry :)
Answer:
A
Step-by-step explanation:
Evaluate the expression x=4 , y=-2 , z=-3
Answer:
36
Step-by-step explanation:
I don’t know if this half the problem or something because you only need to know what a equals but...
1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20
2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20
3. So you can simplify that again to 56-20 and then to 36
Sorry I’m really bad at explaining but I hope this helps
A particular satellite is 10 ft wide. A
model of it was built with a scale of 1 in :
2 ft. How wide is the model?
3 ft
Step-by-step explanation:
I rlly need this quick please and thank you
Step-by-step explanation:
2002 can be rounded to a compatible number such as 2000.
2000 / 2 = 1000.
They each received around 1000 marbles.
2(x+7) + 3(x+1)
pls help
Answer: 5x +17
Step-by-step explanation:
2(x +7 ) + 3(x +1) Apply the distributive property to break it down
2(x) + 2(7) + 3(x) + 3(1)
2x + 14 + 3x + 3 Now combine like terms
5x + 17
Answer:
2x+14+3x+3
5x+17
Step-by-step explanation:
PLS ANSWER FAST!!!
a rate is a ratio that compares
A) a part to a part
B) a part to a whole
C) quantites with different units
D) quantities with the same units
Answer:
c
Step-by-step explanation:
A rate is a ratio that compares quantites with different units.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.
A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.
Hence, a rate is a ratio that compares quantites with different units.
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The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation: