-The sum of two numbers is less than 10
-If we subtract the second number from the first, the difference is greater then 3
Write a system of inequalities that represents this situation. Let f represent the first number and s represents the second number.
Type the answer below
Answer:
A and C r the answers
A new, healthy drink has 160% of the “recommended daily allowance” (RDA) of vitamin J. If the RDA is 40 milligrams, how much vitamin J is in the new health drink?
Answer:
80
Step-by-step explanation:
Im not really sure just the thingy says that 80 was the right anwser
Answer:
64
Step-by-step explanation:
Sorry I'm really late.
If a wedding ring is dropped from a tall building, the distance it has fallen in feet is given by 16t2, where t is the time in seconds since the ring was dropped. How far has the ring fallen after 5 seconds?
Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coefficient of x k in (x+1/ x) n .
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Answer:
(a) -29,884,416
(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ
Step-by-step explanation:
(a) The coefficient of the k-th term of the expansion is ...
C(20,k)(3x)^(20-k)(-2y)^k
For k=19, this is ...
19(3x)(-2y)^19 = -29,884,416xy^19
The coefficient of the term is -29,884,416.
__
(b) The p-th term of the expansion of (x +1/x)^n is ...
C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))
For some exponent k of x, the value of p will be ...
k = n -2p
p = (n -k)/2
Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).
You will notice that there will only be a term x^k for k having the same parity as n.
What is the solution to the inequality f + 4 < 2?
Answer: f=-2
Step-by-step explanation:
math
Answer:
f < -2
Step-by-step explanation:
Rewrite the following expression using the distributive property: 12x + 20
Answer: 4(3x +5) or 2(6x +20)
Step-by-step explanation:
Sandy has around $245 in her pocket but she thinks she could have up to $25 more or $25 less. Write and solve an absolute value equation that can show the maximum and minimum amount of money that Sandy has in her pocket.
Answer:
The absolute value equation is |x - 245| = 25The maximum amount of money in Sandy's pocket is $270The minimum amount of money in Sandy's pocket is $215Step-by-step explanation:
The absolute value equation for the amount of money in Sandy's pocket is given as;
|x - 245| = 25
The equation for the maximum amount of money in Sandy's pocket is given as;
x - 245 = 25
x = 25 + 245
x = $270
The equation for the minimum amount of money in Sandy's pocket is given as;
x - 245 = -25
x = -25 + 245
x = $215
which is closer to 0, -24 or 38
Answer:
-24
Step-by-step explanation:
Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.
Sarah earns $9 an hour at a Mort’s Pizza Palace, working 20 hours per week. She spends $3 each week for snacks at work, but saves all her other earnings. How many hours must Sarah work to buy a new phone that costs $150?
Answer:
15h
Step-by-step explanation:
Answer:
17 hours
Step-by-step explanation:
she needs 150, she spends 3 and she makes 9 per hour
153/9 = 17
please help me with math
what do i need to subtract from 83/10 to make 8
Answer:
0.3
Step-by-step explanation:
Let x be what you need to subtract
[tex]\frac{83}{10} = 8.3[/tex] Plug x in: 8.3 - x = 8Re-arrange: 8.3 - 8 = x8.3 - 8 = 0.3So, you need to subtract 0.3 from 83/10 to make 8.I hope this helps!
Answer:
3/10
Step-by-step explanation:
83/10 - 3/10 = 80/10 = 8
a tv costs 800 plus vat at 20% what is the total cost of the tv
Hey pls help me in this thanks a lot
Answer:
m= -13-q+15h, h€R, q€Ry = 3x - 12x +9
In standard form?
Answer:
y=-9x+9
Step-by-step explanation:
There are only two like terms in the equation which I have underlined.
y= 3x - 12x +9
To simplify it, you combine the like terms and get your equation in standard form.
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
distance from Atlanta to Colleyville is 25.5 miles, and the distance from
Atlanta to Bayville is 10 2/3 miles.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete as what is required of the question is not stated.
However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.
Represent the distance from Atlanta to Colleyville with AC
Represent the distance from Atlanta to Bayville with AB
Represent the distance from Bayville to Colleyville with BC
So, we have that:
[tex]AC = 25.5\ miles[/tex]
[tex]AB = 10\frac{2}{3}\ miles[/tex]
The relationship between AB, AC and BC is:
[tex]AC = AB + BC[/tex]
Make BC the subject of formula:
[tex]BC = AC - AB[/tex]
[tex]BC = 25.5 - 10\frac{2}{3}[/tex]
Convert fraction to decimal
[tex]BC = 25.5 - 10.7[/tex]
[tex]BC = 14.8[/tex]
Hence, the distance from Bayville to Colleyville is 14.8 miles
Consider the composite function g(F(x)) = x square root of 6.
If f(x) = 3x2, what is g(x)?
Answer:
g(x) = √(2x)
Step-by-step explanation:
f(x) = 3x^2
g(f(x)) =√6x
g(3x^2) = x√6
g(x) must be √(2x)
because if we substitute x = 3x^2 in this we get
(√2(3x^2))
= √2√3√(x^2)
= √6 x
write the equation in slope-intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x+12
Answer:
[tex]y = -\frac{2}{3}x - 7[/tex]
Step-by-step explanation:
Given
[tex]Point = (6,-11)[/tex]
[tex]Equation: y = -\frac{2}{3}x + 12[/tex]
Required
Determine the equation of the point
First, we need to determine the slope of the point.
Since the point is parallel to the given equation, then they have the same slope (m).
The general form of an equation is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{2}{3}[/tex]
The equation of the point in slope intercept point is:
[tex]y -y_1 = m(x-x_1)[/tex]
Where
[tex]m = -\frac{2}{3}[/tex]
[tex](x_1,y_1) = (6,-11)[/tex]
Substitute these values in the equation:
[tex]y - (-11) = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}(x - 6)[/tex]
[tex]y +11 = -\frac{2}{3}x + \frac{2}{3}*6[/tex]
[tex]y +11 = -\frac{2}{3}x + 4[/tex]
Subtract 11 from both sides
[tex]y = -\frac{2}{3}x + 4-11[/tex]
[tex]y = -\frac{2}{3}x - 7[/tex]
If someone could please help me then that would be great.
Answer: Infinite Solutions
Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.
And if you multiply by 2 you get the exact same equation.
If I am wrong let me know!
Hope this helps!
Is (1,8), (2,12), (3,16) (4,20) a function?
The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion TotalDemocrat 320 150 50 520Republican 125 345 10 480Total 445 495 60 1000If the group surveyed represents the people of the United States, what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republican? (Enter your probability as a fraction.)
Answer:
1 / 8
Step-by-step explanation:
Given the data
_____Favor __Oppose__ No Opinion__Total
Demo 320___ 150 ______50 _______ 520
Repub 125___ 345 _____ 10 _________480
Total 445 ___495 ______60 ________ 1000
what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica
From the table provided :
n(favor n republican) / n(Total)
Number of republican who are in favor = 125
Total number of persons = 1000
Hence,
125 / 1000
= 1/8
PLEASE HELP ASAP!!
what is the range of the graphed function?
A) {x | -2 < x < 2}
B) {y | -2 < y < 2}
C) {x | x is a real number}
D) {y | y is a real number}
Answer:
Since this graph is continuing, y must be any real number. So, d.
Find the missing side lengths leave your answers as radicals
Answer:
Step-by-step explanation:
n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)
to find m:
20^2 + 20^2 = m^2
400 + 400 = m^2
800 = m^2
m = square root(800)
m = square root(400)xsquare root(2)
m = 20square root(2)
) Encuentra dos números consecutivos cuya suma sea 57.
Answer:
k
Step-by-step explanation:
k
what is an odd number
Answer:
An odd number is any number than can't be divided by two ! Some examples are 1, 3, and 5.
Any integer (not a fraction) that cannot be divided exactly by 2. The last digit is 1, 3, 5, 7 or 9. Example: −3, 1, 7 and 35 are all odd numbers.
what is the value of B and C
Answer:
The value of b is 6 and the value of c is also 6
Step-by-step explanation:
We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.
So,
ΔUWV≅ΔEDF
Then
WV ≅ DF
WU ≅ DE
UV ≅ EF
So,
Putting their respective value equal:
WV = DF
[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]
Hence,
The value of b is 6 and the value of c is also 6
PLEASE HELP I WILL GIVE YOU A BRAINLIEST! During a basketball game, Tom attempted 25 shots and made 9. He says he made 40% of the shots he took. Is Tom correct? Explain your reasoning using complete sentences.
Answer:
Correct I think
Step-by-step explanation:
9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.
show work and ill give credit
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Answer:
5
Step-by-step explanation:
To solve the inequality, we can do the following.
4.55g + 8.50 ≤ 35 . . . given
4.55g ≤ 26.50 . . . . . . subtract 8.50 from both sides
g ≤ 5.82... . . . . . . . . . . divide both sides by 4.55
The number of games must be an integer value, so the maximum number of games they can bowl is 5.
A 15 foot ladder is leaning against a building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder reach?
The ladder will reach
android:
nothing ft high up on the building.
(Round to the nearest tenth.)
Enter your answer in the answer box and then click Check Answer.
All parts showing
Answer: The height of the building = 14.5 feet.
Step-by-step explanation:
Given: Length of ladder = 15 feet
Distance of base of ladder from building = 4 feet
Since building is standing vertical on ground making right angle.
So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]
According to the Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
⇒ (15)² = Perpendicular² + (4)²
⇒ 225 = Perpendicular² +16
⇒ Perpendicular² = 225 -16
⇒ Perpendicular² = 209
⇒ Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet
Hence, the height of the building = 14.5 feet.
a=4, b = 5, A = 16
Solve the Triangle
Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.
Extra: #1 Obtuse scalene triangle.
Sides: a = 4 b = 5 c = 1.051
Area: T = 0.724
Perimeter: p = 10.051
Semiperimeter: s = 5.026
Angle ∠ A = α = 16° = 0.279 rad
Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad
Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad
Height: ha = 0.362
Height: hb = 0.29
Height: hc = 1.378
Median: ma = 3.009
Median: mb = 1.517
Median: mc = 4.497
Inradius: r = 0.144
Circumradius: R = 7.256
Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]
Centroid: CG[-0.901; 0.459]
Coordinates of the circumscribed circle: U[0.526; 7.237]
Coordinates of the inscribed circle: I[0.026; 0.144]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 164° = 0.279 rad
∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad
∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad
Will mark as brainliest if correct!!!!!
Answer: the answer would be F
Step-by-step explanation: