9514 1404 393
Answer:
3x = ln(y+4)
Step-by-step explanation:
Taking the natural log of both sides, you have ...
3x = ln(y +4)
__
The applicable rule of logarithms is ...
ln(e^a) = a
The "work" is applying this rule. Here, a=3x. The log of a sum cannot be simplified.
How many solutions does the following system have?
y = 4x + 6
y = 4x + 12
A. One Solution
B. Infinitely many solutions
C. No Solution
D. Two Solutions
I WILL MARK BRAINLEST IF YOUR ANSWER IS CORRECT!!!!
Answer: no solution
Step-by-step explanation:
What is a reasonable prediction? Please help! :(
Answer:
A estimated guess based off past information not some random number
Step-by-step explanation:
Example:
Make a reasonable prediction on if we will have school tomorrow. We are expecting a foot of snow.
Reasonable: We most likely won't because it will be cold and snowing. And it won't be safe.
Not Reasonable: We will because it will be sunny
SHOW YOUR WORK
5/8 times ? equals 5/2 or 2 1/2
QUOTIENT OF 84 AND 6
Answer:
Yo, 84/6 is 14
Step-by-step explanation:
The quotient is the answer you get from a division problem.
Answer:
84 ÷ 6 = 14, or 6 ÷ 84 = 0.07142857142857142857142857142857...
I assume that you meant 84 ÷ 6.
Hope that this helps!
Calcula el 28% de 375
Answer: 105
Step-by-step explanation:
28% es 0.28 en decimal
28% de 375 es 375 x 0.28
375 x 0.28 = 105
Answer:
105
Step-by-step explanation:
[tex]\frac{y}{375} :\frac{28}{100}[/tex]
y × 100 = 28 × 375
100y = 10500
100y ÷ 100 = 10500 ÷ 100
y = 105
can someone help? Will give brainliest
Answer:
a = 36
Step-by-step explanation:
3 + (11/12)a = 36
Subtract 3 from both sides
(11/12)a = 33
multiply both sides by 12
11a = 396
Divide both sides by 11
a = 36
Answer:
a = 36
Step-by-step explanation:
trust me and give brainliest
Help pleaseeeeeeeeeeee
PLEASE WHOEVER DOES IT GETS BRAINLIEST
Answer:
first one on top to the left
Step-by-step explanation:
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
Answer:
171.9 degrees.
Step-by-step explanation:
The factor is 180/π.
So 3 radians = (3*180)/π
= 171.9 degrees.
At a sale this week, a suit is being sold for $296.40. This is a 62% discount from the original price. What was the original price?
Answer:
Rounded: $478.06
Step-by-step explanation:
Set up an equation:
Variable x = original price
62/100 = 296.40/x
Cross multiply
62 × x = 100 × 296.40
62x = 29,640
Divide both sides by 62:
x = 478.064516....
Round to nearest cent (hundredths place):
x = 478.06
Check your work (using the rounded estimate will be close to $296.40 but not exact because it is rounded; once you round your answer and it should match):
478.06 × 62%
Convert the percentage into a decimal:
478.06 × 0.62
296.3972
Round to the nearest cent (hundredths place):
296.40
Find out six rational numbers lying between -4/8 and -3/4
Answer:
-41/80, -45/80, -48/80, -51/80, -55/80, -59/80
Step-by-step explanation:
-4/8, -3/4 = -4/8, -6/8
= -40/80, -60/80
∴ Rational numbers between -40/80 and -60/80 = -41/80, -45/80, -48/80, -51/80, -55/80, -59/80.
Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on a typical weekend. The data is below:
Females (Population 1): 5, 5, 6, 6, 6, 3, 4, 6, 6, 6
Males (Population 2): 7, 3, 4, 7, 4, 7, 3, 3, 7, 4
Give a 93% confidence interval for the difference between mean female and male drink consumption. (Assume that the population variances are equal.)
Answer:
Confidence Interval =-0.76,+1.56
Step-by-step explanation:
The confidence interval can be determined by
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
z∝/2 for 93% is 1.81
The mean and the standard deviations can be calculated using the calculator.
The mean x1`= ∑x/ n= 5+ 5+ 6+ 6+ 6+ 3+ 4+ 6+ 6+ 6
= 53/10= 5.3
Standard deviation = s1`= 1.0049= 1.005
The mean x2`= ∑x/ n= 7+ 3+ 4 +7+ 4+ 7+ 3+ 3+ 7+ 4/10
= 49/10= 4.9
Standard Deviation = s2= 1.75783= 1.76
Putting the values
(x1`- x2`) ± z∝/2 √s1²/n1 + s2²/n2
(5.3-4.9 ) ± 1.81 √1.005²/10 +1.76²/10
0.4 ± 1.81 √ 1.010025/10 + 3.0976/10
-0.76,+1.56
The confidence interval for 93% two tailed test is [-0.76,+1.56]
Make x the subject of the formula: m=x−3b
Answer:
x = m + 3b
Step-by-step explanation:
add 3b to each side
x = m + 3b
Answer:
x=m+3b
Step-by-step explanation:
Hi there!
Our goal to make x the subject of the formula is to isolate x on one side and have everything else on the other side
here's the given formula:
m=x-3b
-3b is on the same side as x, which we don't want
add 3b to both sides (-3b+3b=0)
m=x-3b
+3b +3b
________
m+3b=x
since x is now the subject of the formula, we're done
Hope this helps!
Pls Hurry
Best answer gets brainliest
On a roadtrip, the distance driven can be represented by
the following equation
y = 15x
where x is the number of gallons of gas.
What does the 15 represent?
A) 15 gallons of gas were used
B) the gas cost $15
C) the road trip was 15 miles long
D) the car traveled 15 miles per gallon
A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $400 to produce an acre of potatoes, $160 to produce an acre of corn, and $280 to produce an acre of cabbage. He has a maximum of $20,000 to spend. He makes a profit of $120 per acre of potatoes, $40 per acre of corn, and $60 per acre of cabbage. How many acres of each crop should he plant to maximize his profit?
a. Create a chart to organize this information.
b. Write the objective function
c. Write all the constraints to the problem.
Objective (Profit) Function : 120 Po + 40 Co + 60 Ca
Constraint Functions : Po + Co + Ca = 100 (Land Constraint) ; Budget Constraint : 400 Po + 160 Co + 280 Ca = 20000
LET : Acres of land for Potato, Corn, Cabbage = Po, Co, Ca respectively.
Objective Function is the function to be minimised or maximised. Here, 'PROFIT' is to be maximised.
So, profit function is the objective function. Profit per acre potatoes, corn, cabbage = 120, 40 , 60 respectively.Constraint functions denote the other conditions to be maintained, while maximising & minimising objective profit function.
Here, Land constraint & budget constraints need to be satisfied. Total acres of land for potato, corn, cabbage = 100. Cost per acre potatoes, corn, cabbage = 400, 160, 280 respectively & total budget is 20000.To learn more, refer https://brainly.com/question/2500020?referrer=searchResults
What is the area of the shaded region? Use 3.14 for it and round your answer to the nearest tenth opinions:12.6 cm2 6 cm 50.2 cm 78.5 cm 10 cm 201.0 cm
Someone please answer I need help on this one to
Nandini uses a code to open a security door.
The code is a letter followed by a 2-digit number.
The letter is Por Q.
The number is a prime number between 30 and 40
Write down all the possibilities for Nandini's code.
Can someone plz help me
Answer:
35 is a prime number between 30 and 40
CAN SOMEONE HELP ME ASAP PLS
Answer:
10 inches
Step-by-step explanation:
Half of the circle is 5 inches. the other half will be 5, which added together makes 10
calculate: 3^10 * 30^18 / 9^13 * 8^6 * 0.04^-9
Answer:
9e+36
Step-by-step explanation:
ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡
What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1
PLEASEEE ANSWERRRRRR
Answer:
The maximum of the parabola lands at (2,5).
The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The equation of Parabola is y=-x²+4x+1
The turning point (vertex) is the point where the derivative is equal to zero.
y=-x²+4x+1
Differentiate the equation
dy/dx=-2x+4
Now equate dy/dx with zero
dy/dx=0
-2x+4=0
-2x=-4
x=2
Now put x value in the equation
y=-(2)²+4(2)+1
y=-4+8+1
y=5
Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
To learn more on Coordinate System click:
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−8x+4y=24
−7x+7y=28
x=?
y=?
Answer:
x = -2y = 2Step-by-step explanation:
You want the solution to the system of equations ...
-8x +4y = 24-7x +7y = 28SolutionWe notice that each of these equations has a leading minus sign, and has coefficients that have a common factor. We can multiply by -1 to make the leading coefficient positive, and we can divide by the common factor. Doing this puts the equations in standard form:
2x -y = -6
x -y = -4
Subtracting the second equation from the first gives ...
(2x -y) -(x -y) = (-6) -(-4)
x = -2
Rearranging the second equation to find y, we have ...
y = x +4
y = -2 +4 = 2
The solution is (x, y) = (-2, 2).
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It takes 4 3/4 hours to print some letters when 7 printers are used.
Work out the time taken to print the letters when 3 printers are used.
Give your answer in hours and minutes.
Answer: This is what I could figure out
Step-by-step explanation:
The amount of time taken to print by 3 printers is 2¹/₂₈ hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that It takes 4³/₄ hours to print some letters when 7 printers are used.
The amount of time will be calculated as,
Time = ( 4³/₄ x 3 ) ÷ 7
Time = (19 / 4 x 3 ) ÷ 7
Time = 57 / 28
Time = 2¹/₂₈ hours
To know more about an expression follow
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IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!
Answer:
27 cubic units
hope this helps
have a good day :)
Step-by-step explanation:
A rectangle has a area of 30 square units and a width of 6. Find its length
Answer:
Step-by-step explanation:
If the overall area of the square is 30 units with a width of 6 units, all you need to do is divide 30 by 6. Or, if you add 6 till you get 30, which is much simpler.
If we start from six and count up till we get to/close to 30 without passing the number, we can do this.
6, 12, 18, 24, 30
Right on the dot of thirty! How lucky! Now we notice that while counting up, there were 5 variables (Don't know if I'm using this word correctly :\) of thirty in total. Then, if you want to double check, multiply 5 by 6 to get thirty and show proof that your answer is correct!
Good job! You survived the maths!
Anyways, here's the answer: The missing length of the 30 unit square is 5.
Answer:
5 is its length, divide the given length to the total area to get your missing length
Whenever given an area and a length or a width either ONE of those, you always divide the given length. Why? Because the number you get from dividing will make sense! That number you got from dividing times the give length will equal your area! Which is why you divide your given length to your total area.
A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of
the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)
No website plzzz
Answer: 9.82cm
Step-by-step explanation:
Solve for x: 2(x + 4) + 6 = 12x - 8
Answer:
x = 2.2
Step-by-step explanation:
2(x+4)+6 = 12x-8
Use distribution property
2x+8+6 = 12x-8
Combine like terms
2x+14 = 12x-8
Subtract 14 from both sides
2x = 12x-22
Subtract 12x from both sides
-10x = -22
Divide both sides by negative 10
x = 2.2 or x = 11/5 in fractions.
Hope this helps
Help Please?! ?????????????
Answer:
Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.
Step-by-step explanation:
To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.
- Your furniture store sells two types of dining room tables. The first, type A, costs $213 and you make a $23
profit on each one. The second, type B, costs $109 and you make a $16 profit on each one. You can order no
more than 90 tables this month, and you need to make at least $1720 profit on them. If you must order at leas
one of each type of table, how many of each type of table should you order if you want to minimize your
cost?
a. 50 of type A
40 of type B
b. 34 of type A
56 of type B
C. 56 of type A
34 of type B
d. 40 of type A
50 of type B
how do i write my algebra equations on my computer
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer