Answer:
(-1,4)
-1 is x and 4 is y
You have to plug it in for the equation:
4= 3(-1)+5
4= -3+5
4 = 2
the answer is no solution because 4 does not equal to 2
46. Perhatikan gambar!
Bila amperemeter menunjuk angka 0,6 A,
maka nilai yang terukur pada Volmeter adalah
Jika
ham
arus
RE
A
A. 1,5 Volt
B. 3,4 Volt
C. 4,5 Volt
D. 6,2 Volt
A
paraan berikut van tidak benar dari
Answer:
B. 3,4 VoltStep-by-step explanation:
Here we need to use Ohm's Law, because we have electric current, voltage and resistances. This law state: [tex]V=IR[/tex]
So, first we need to calculate the total resistance to then find the voltage. The resistances can be placed in two ways: in parallel, in series.
The pair 4 and 8 ohms are parallel, so we solve:
[tex]R_{T}=\frac{1}{R_{1}}+\frac{1}{R_{2}}[/tex]
[tex]\frac{1}{R_{T}}=\frac{1}{4}+\frac{1}{8}=\frac{8+4}{32}=\frac{12}{32}=\frac{3}{8}[/tex]
Which is, [tex]R_{T}=frac{8}{3}[/tex]
Now, this total resistance of parallels ones is placed in series with the 3 ohm resistance, in this case we just sum, because they are in series:
[tex]R=3+\frac{8}{3}=\frac{9+8}{3}=\frac{17}{3}=5.67 ohm[/tex]
Now that we have the total resistance of the circuit, we use the Ohm's Law:
[tex]V=IR\\V=(0.6A)(5.67ohm)=3.4 Volt[/tex]
Therefore, the right answer is B.
Solve this please quickly
Answer:
1. m∠B=110°
2. 560 cm3
3. Numerical data
4. 2000 cm3
5. 50%
Step-by-step explanation:
1. The explanation of part 1 is given in the attachment.
2. Given dimensions : 10 cm, 8 cm, and 7 cm.
Let Length of cuboid =10 cm
breadth/width of cuboid =8 cm
height of cuboid = 7cm
Volume of cuboid = length *width* height
=( 10 *8*7) cm3
=(560) cm3
3. Age, Birth date and weight are the types/examples of "Numerical Data" because these all are describe in terms of numeric values.
4. 1 liter = 1000 cm3 or 1 cm3 = 0.001 liter
1.5 liters =(1.5*1000) cm3 = (15*100) =1500 cm3
1 dm3 =1000 cm3
0.35 dm3 = (0.35*1000) cm3 = (35*10) cm3 =350 cm3
Given expression: 1.5 litre + 0.35 dm3 + 150 cm3 = cm3
1500 cm3 + 350 cm3 +150 cm3 = 2000 cm3
5. If A=(1/2)B, then B : A = 50 %
Ratio: B : A
B : (1/2) B
1: (1/2)
50 % (The value of A is half of the value of B)
find the 30th term of the arithmetic sequence with a first term of 4 and a comman difference of 8
Answer:
236
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 8, thus
[tex]a_{30}[/tex] = 4 + (29 × 8) = 4 + 232 = 236
Find the zeros of the function in the interval [-2pi, 2pi] f(x)= -4sin x
Answer:
Zeros are [tex]x=-2\pi,-\pi,0,\pi,2\pi[/tex]
Step-by-step explanation:
[tex]f(x)=0\\-4\sin x=0\\\sin x=0\\[/tex]
[tex]\sin(-2\pi)=0\\\sin(-\pi)=0\\\sin(0)=0\\\sin(\pi)=0\\\sin(2\pi)=0[/tex]
It's B) 0, ±pi, ±2pi on edge
mandy is trying to find 6÷0 she says the answer is 6 because 6×0=6is mandy correct explain
Answer:
No.6*0 isn't 6, and divisor can not be zero.
Step-by-step explanation:
Hope this helps and have a nice day;)
A rectangle has a width of 6 units and a length of 2x+8 units. If the area is 108 units squared, what is the value of x?
Answer:
x=5
Step-by-step explanation:
let, width of rectangle=b=6 units
length of rectangle=l=2x+8
given area of rectangle=108 units squared
area of rectangle=lb
108=(2x+8)6=12x+48
108-48=12x
x=[tex]\frac{60}{12}[/tex]
x=5 answer
The James family hosted an independent day party they expected 70 gusts but 7 times fewer showed up how many phone attend the party
Answer:10 people
Step-by-step explanation:
7 times less showed up so, 70 divided by 7 is 10. 10 guests attended.
The James family expected 70 guests for their party, but 7 times fewer showed up. By dividing the expected guest number by 7 (70 ÷ 7), we find that 10 guests attended the party.
Explanation:The James family expected 70 guests to attend their independent day party. However, 7 times fewer guests showed up than expected. We can calculate this by dividing the expected number of guests by 7.
Step 1: Identify the total number of guests expected which is 70.
Step 2: Divide the expected number of guests by 7. This is because the actual number of attendees was 7 times fewer than the expected.
Step 3: Perform the division: 70 ÷ 7 = 10.
So, 10 guests attended the independent day party hosted by the James family.
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Solve the equation -7x-3x+2=-8x-8
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
options are
u(x) Not-equals 0 and v(x) Not-equals 2
x Not-equals 0 and x cannot be any value for which u(x) Equals 2
x Not-equals 2 and x cannot be any value for which v(x) Equals 0
u(x) Not-equals 2 and v(x) Not-equals 0
Answer:
C
Step-by-step explanation:
I just did the test
Answer:
c
Step-by-step explanation:
Mai has $36 to spend on movie tickets. Each movie ticket costs $4.50.How many tickets can she buy?
a. Write a multiplication equation and a division equation to represent this situation.
b. Find the answer. Draw a diagram, if needed.
c Use the multiplication equation to check your answer.
Answer:
see explaination
Step-by-step explanation:
a) $4.50 × ? = $36 $36 ÷ $4.50 = ?
b) 8 (divide)
c) replace question marks with x and solve algebraically still equals 8
Mathematics is algebraic over the field of real numbers: of or pertaining to a component that is the root of a polynomial equation with coefficients from a specific field.
How do you calculate algebraically?A General Rule for Equation Solving
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.Changing an algebraic equation such that the variable is on one side and everything else is on the other is all that is required to solve an algebraic equation. The equation can be solved once everything else has been made simpler.a) $4.50 × ? = $36 $36 ÷ $4.50 = ?
b) 8 (divide)
c) replace question marks with x and solve algebraically still equals 8.
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Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
has a mass of 40 kg, is traveling in the opposite direction at 5 m/s. They crash into each other
and hold onto each other so that they move as one mass. How fast are they traveling?
Answer:
They traveling at [tex]0.37\ m/s[/tex] in backward direction.
Step-by-step explanation:
Given mass of Ammy [tex]m_1=55kg[/tex]
and velocity is forward at [tex]v_1=3m/s[/tex]
Also, mass of Jenny [tex]m_2=40kg[/tex]
Who is travelling in opposite direction [tex]v_2=-5m/s[/tex]
Let velocity in forward direction is positive and velocity in backward direction is negative.
Also, velocity after crash is [tex]v[/tex]
As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.
Conservation of momentum says momentum before collision should equal to momentum after collision.
[tex]m_1v_1+m_2v_2=(m_1+m_2)v[/tex]
[tex](55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s[/tex]
So, velocity after collision [tex]v[/tex]≅[tex]-0.37m/s[/tex] is in opposite direction. That is the direction of Jenny.
a recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and 3/4 quart of grape juice. How much of each ingredient would you need to make 100 quarts of punch
Answer:
[tex]33\dfrac{1}{3}\text{ quarts of grape juice}\\ \\66\dfrac{2}{3}\text{ quarts of sparkling water}[/tex]
Step-by-step explanation:
A recipe for sparkling grape juice calls for 1.5 quarts of sparkling water and 3/4 quart of grape juice.
The ratio of sparkling water to grape juice is
[tex]1.5\div \dfrac{3}{4}=\dfrac{3}{2}\div \dfrac{3}{4}=\dfrac{6}{4}\div \dfrac{3}{4}=6\div 3=2\div 1[/tex]
So, to make 100 quarts of punch you need x quarts of grape juice and 2x quarts of sparkling water.
Hence,
[tex]x+2x=100\\ \\3x=100\\ \\x=\dfrac{100}{3}=33\dfrac{1}{3}\text{ quarts of grape juice}\\ \\2x=66\dfrac{2}{3}\text{ quarts of sparkling water}[/tex]
Answer:
66 1/3
Step-by-step explanation:
pleas mark me as brainliest
Pick the expression that matches this description: A polynomial of the 5^th degree with a leading coefficient of 7 and a constant term of 6
Choose 1 answer:
(Choice A) 7x^6-6x^4+5
(Choice B) 6x^7-x^5+5
(Choice C) 6x^5+x^4+7
(Choice D) 7x^5+2x^2+6
Given
f(x)=3x2+7x and g(x)=2x2-x-1, find (f+g)(x).
Answer:
5x^2+6x-1
Step-by-step explanation:
Remember that (f+g)(x)=f(x)+g(x).
(3x^2+7x)+(2x^2-x-1)
3x^2+2x^2+7x-x-1
5x^2+6x-1
The sum of the functions f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1, represented by (f+g)(x), equals to 5x^2 + 6x -1.
In mathematics, particularly in algebra, the operation (f+g)(x) represents the sum of the two functions f(x) and g(x). In order to find the sum, you simply carry out the addition operation on the functions term by term. Given your functions f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1, the sum (f+g)(x) is then calculated as follows:
Add the x^2 terms: 3x^2 (from f(x)) + 2x^2 (from g(x)) = 5x^2Add the x terms: 7x (from f(x)) - x (from g(x)) = 6xAdd the constants: There's no constant in f(x), and -1 in g(x), so the sum is -1
Therefore, (f+g)(x) = 5x^2 + 6x -1.
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Enter the solution (x, y) to the system of equations shown
x = 2.5
5y + 2x = -10
Answer:
x=2.5, y=-5. (2.5, -5).
Step-by-step explanation:
5y+2(2.5)=-10
5y+5=-10
5y=-10-5
5y=-15
y=-15/5
y=-5
Answer:
(2.5, -3)
Step-by-step explanation:
We are told up front that x = 2.5. Substituting 2.5 for x in the second equation, we get:
5y + 2(2.5) = -10.
Carrying out the indicated multiplication:
5y + 5 = -10.
Then 5y = -15, and y = -3.
The solution in the form (x, y) is (2.5, -3).
determine the equation of the parabola passing through the points (-3,13), (0,1), and (1, -7)
Answer:
y=-5x+1
Step-by-step explanation:
The equation is: y=mx+b
m = the slope of the line
b = the y-intercept (0,b)
The y-intercept is (0,1) so b = (0,1)
So the equation would be y =mx+1
Now in order to calculate the slope, the equation is:
y₂-y₁ over
x₂-x₁
So we should use the points (-3,13) and (1,-7).
-7-13 over (over means a fraction symbol)
1+3
Simplify:
-20 over 4 =-5/1 = -5
M=-5
So the equation is now:
y=-5x+1
Answer:
Step-by-step explanation:
You need to do some solving simultaneously to get these values. Your quadratic equation is of the form
[tex]ax^2+bx+c=y[/tex]
Use the coordinates you've been given to solve 3 equations. It will be super simple if we start with the coordinate (0, 1). Here's why (obvious after some substitution is done):
[tex]a(0)^2+b(0)+c=1[/tex] which gives us that
c = 1. Now we have a variable to plug in for c to solve for a and b. Again, we have coordinates that we can use to create 2 more equations:
[tex]a(-3)^2+b(-3)+1=13[/tex] and, simplified:
9a - 3b = 12
and the second equation is:
[tex]a(1)^2+b(1)+1=-7[/tex] and, simplified:
a + b = -8
Now combine the 2 bold equations and solve by elimination or substitution to find either a or b. I chose elimination and multiplied the second equation by 3 to get a new equation:
3a + 3b = -24
Using the elimination method:
9a - 3b = 12
3a + 3b = -24
You can see that the b's subtract each other away, leaving us with
12a = -12 so
a = -1
Now plug -1 in for a to solve for b:
-1 + b = -8 so
b = -7 and the quadratic is
[tex]-x^2-7x+1=y[/tex]
If 6 pounds of pasta feeds 20 people. How much would 4 pounds of pasta feed?
Answer:
13.333...
Step-by-step explanation:
20 divided by 6 = 3.33...
3.33 * 4 = 13.333
h(x) = x2 + 5 – 2x; Find h(x + 2)
Answer:
h(x+2)= x² +5
Step-by-step explanation:
h(x)= x² +5 -2x
h(x+2)= (x+2)² +5 - 2(x+2)
h(x+2)= x² +4x+4+5-4x-4
h(x+2)= x² +5
The rate that The price increased from the original price to today
Answer:
700%
Step-by-step explanation:
The price increased from $0.30 to $2.40. What is the rate of increase, in percentage?
We can use the formula shown below:
[tex]\frac{New-Old}{Old}*100[/tex]
Where
New Price is 2.40 and the Old Price is 0.30
We substitute and calculate:
[tex]\frac{New-Old}{Old}*100\\\frac{2.40-0.30}{0.30}*100\\=7*100\\=700[/tex]
Hence,
Price increased 700%
The table shows the cost of renting movies online.
Number of Movies Cost
1 $3.99
2 $7.98
3 $11.97
4 $15.96
5 $19.95
What does the rate of change mean in this situation?
The cost increases $7.98 for every additional movie rented.
The cost increases $3.99 for every additional movie rented.
The cost increases $15.96 for every additional movie rented.
The cost increases $11.97 for every additional movie rented .
Answer:The cost increases $3.99 for every additional movie rented.
Step-by-step explanation:
Answer:
The cost increases $3.99 for every additional movie rented.Step-by-step explanation:
In this situation, the rate of change means the cost per movie.
Specifically, the cost is $3.99 per movie. In other words, the cost increases $3.99 when the number of movies increases by 1.
We could also say it like the cost increases $3.99 for every additional movie.
Therefore, among the options the second choice is correct, because specifies the right ratio of change that the table shows.
You can get this ratio of change by subtracting $7.98 - $3.99 = $3.99. Then, if you sum this difference to $7.98, you would get $11.97, and then $15.96, and so on. That means the ratio of change is $3.99 per movie.
is √ 2/9 a rational number
Answer:
No it is not
Step-by-step explanation:
well if you see any number that is could be written as a fraction is rational. square root of 9 is 3, but in this case the square root of 2 is irrational, so it is a irrational number.
Yes, the fraction √ 2/9 is a rational number
What is a rational number?A rational number is a type of real number, which is in the form of p/q where q is not equal to zero. Any fraction with non-zero denominators is a rational number.
Some of the examples of rational numbers are 1/2, 1/5, 3/4, and so on.
The number “0” is also a rational number, as we can represent it in many forms such as 0/1, 0/2, 0/3, etc. But, 1/0, 2/0, 3/0, etc. are not rational, since they give us infinite values.
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Evaluate AB/CD fo A = 5, B = -22, C = 4, and D = -6
Answer:
4.583 or 55/12
Step-by-step explanation:
A = 5, B = -22 and C = 4, D = -6. 5 multiplied by -22 is equal to -110, and 4 multiplied by -6 is equal to -24. Because a negative divided by a negative is a positive by the same rules of multiplication of negatives is a positive, just get rid of any negative signs in the equation. Now you have 110 / 24. 110/24 is equal to 4.583 or 55 / 12 in fraction form.
someone should pls answer my question
Answer:
what is your question???????
A ball rolls from x = -5 m to x = 0 m
in 1 second. What was its average
velocity?
Answer: 5u/s
Step-by-step explanation:
the ball rolls a total of 5 units from x=-5 to x=0. It traveled this total distance in one second. Therefore the ball goes 5 units per second.
Is the number 29.06888 rational?
Answer:
yes
Step-by-step explanation:
rational numbers are
Fractions
Decimals
repeating decimals
decimals that stop and don't go forever
percent
perfect square and cube roots
whole numbers
Factor completely 9x4y − 6x3y2 + 3x2y3.
Will give crown thingy
3x2y(3x2 − 2xy + y2)
3xy(3x2 − 2xy + y2)
3xy2(3x2 − 2xy + y2)
3x2y(3x2 + 2xy + y2)
Answer:
It's the first choice: 3x^2y(3x^2 - 2xy + y^2).
Step-by-step explanation:
9x4y − 6x3y2 + 3x2y3
We take the Greatest Common Factor which is 3x^2y:
= 3x^2y(3x^2 - 2xy + y^2).
Answer:
3x^2y(3x^2 - 2xy + y^2)
Step-by-step explanation:
You can give the guy above me a crown now lol 4 years later
Tamara estimated 50‾‾‾√ to fall between 7 and 8. Collin gave a more precise estimate, saying that it’s between 7.0 and 7.1. Brett says that he can estimate the value so that it’s between 2 consecutive rational numbers with decimals to the hundredths. Between what two consecutive numbers does 50‾‾‾√ lie? between 7.07 and 7.08 between 7.08 and 7.09 between 7.09 and 7.10 between 7.10 and 7.11
Answer:
√50 lies between 7.07 and 7.08.
4²+2²-(-3²)=m²-(-1²)+(√3)²
Answer:
m = ± 5
Step-by-step explanation:
Given
4² + 2² - (- 3²) = m² - (- 1²) + ([tex]\sqrt{3}[/tex])² ← evaluate exponents
noting that - 3² = - 9 and - 1² = - 1
16 + 4 - (- 9) = m² - (- 1) + 3, that is
20 + 9 = m² + 1 + 3
29 = m² + 4 ( subtract 4 from both sides )
25 = m² ( take the square root of both sides )
m = ± 5
Derick solves the problem below.
-3(4n + 2) = -4n + -2 (4n - 6)
After solving, he says that the equation has no solution.
If Derick is correct, show how you know.
If Derick is incorrect, show how you know and describe the solution to the equation.
As it is proved that the equation has no solution, Derick is correct
Step-by-step explanation:
Given
[tex]-3(4n + 2) = -4n + -2 (4n - 6)[/tex]
We have to solve the equation in order to check if Derick was solved the equation correctly or not.
So,
Applying distributive property first
[tex]-12n -6 = -4n -8n +12\\-12n-6 = -12n+12\\-12n+12n-6 = 12\\-6 = 12[/tex]
As the variable is already cancelled in the equation there is no unique solution.
In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation
So,
As it is proved that the equation has no solution, Derick is correct
Keywords: Linear equations, variables
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Final answer:
Upon simplification, the equation results in a contradiction (-6 = 12), proving Derick's conclusion of no solution to be correct.
Explanation:
To determine if Derick's conclusion that the equation -3(4n + 2) = -4n + -2 (4n - 6) has no solution is correct, we first simplify the equation. Distributing the coefficients on both sides gives:
-12n - 6 = -4n - 8n + 12
Combining like terms on the right side leads to:
-12n - 6 = -12n + 12
Adding 12n to both sides and simplifying:
-6 = 12
This statement is a contradiction, implying that there is no value of n that can satisfy the original equation, meaning Derick's conclusion of no solution is correct.
Question 2) An online gaming club has a one-time registration fee of $14.95 and charges $0.69 to buy each game. If Sammy has $60.00
to join the club and buy games, what is the maximum number of games she can buy?
B
66
°C 108
D
109
PLEASE HELP
Answer:
the answer is b beacause
Step-by-step explanation:
when you multiply 14.95 times 6 it equals b
Answer: 65
Step-by-step explanation:
Let the number of games be x, this means that the cost of x games will be 0.69x.
There is also a one-time registration fee of $14.95 , this means that for Sammy to register and buy game with $60 , the equation will be
14.95 + 0.69x =60
subtract 14.95 from both sides
0.69x = 60 - 14.95
0.69x = 45.05
divide through by 0.69
x = 45.05/0.69
x = 65.28985507
Therefore , the maximum number of games she can buy is 65