What is the equation of a line with a slope of -3 and a y-intercept of 4?
O A. y= 4x+3
O B. y=-3x+4
O C. y = 4x-3
0 D. y = -3x - 4
Answer:
B. y=-3x+4
Step-by-step explanation:
slope always has the variable
Answer:
Step-by-step explanation:
hello :
an equation for the line is : y=ax+b when a is the slope
so : a= -3
y-intercept of 4 means x=0 y=4
Answer: B because x=0 y=-3(0)+4 = 4
Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0
Use exp/log functions to rewrite y as
[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]
One of the properties of logarithms lets us bring down the exponent, so
[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]
Now take the derivative of both sides with respect to x. By the chain and quotient rules,
[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]
Simplify:
[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]
Which product range generated the most profit over all???
Answer:
Blue label
Step-by-step explanation:
All that matters here is # of bottles sold * profit per bottle.
If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.
Among all the product ranges blue label generated the most profit of $5625.
What is profit?Profit is basically the difference between the total revenue and the total cost of the product.
Profit=Total Revenue- Total cost.
How to calculate profit?We know that Average profit= total profit/ number of units.
So the profit will be as average profits* number of units.
So the profit of product ranges will be =average profit * number of bottles.
Profit of red label=1.12*3000
=$3360
Profit of black label=1.5*2000
=$3000.
Profit of gold label=2.75*1000
=$2750
Profit of white label=1.20*2750
=$3300
Profit of blue label=2.25*2500
=$5625.
Hence among all the product ranges blue label has generated maximum profit.
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-13x+2y=29 solve for y
Answer:
x = 2.38; substitute x to get yStep-by-step explanation:
solve for variable x.
move the term containing x to the left and the rest to the right.
add -2y to each side of the equation.
-13 +2y + -2y = 29 + -2y
combine like terms; 2y + -2y = 0
-13x + 0 = 29 + -2y
-13x = 29 + -2y
divide each side by -13 and then simplify;
x = -2.23 + 0.15
x = 2.38
A. 108
B. 792
C. 891
D. 126
Answer:
C. 891.
Step-by-step explanation:
This is a regular nonagram ( has 9 sides) so the area is the sum of 9 congruent triangles.
Area of a triangle = 1/2 * base * height
Area of 1 triangle in this polygon = 1/2 * 12 * 16.5
Area of the polygon = 9 * 1/2 * 12 * 16.5
= 891
Write an algebraic expression for the following word phrase.
The quotient of and x
The value of mathematical expression is,
⇒ 55 ÷ x
⇒ 55 / x
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The word phrase is,
''The quotient of 55 and x.''
Now, The value of mathematical expression is,
''The quotient of 55 and x.''
⇒ 55 ÷ x
⇒ 55 / x
Therefore, The value of mathematical expression is,
⇒ 55 ÷ x
⇒ 55 / x
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A spherical ball has a radius of 2 ft what is the volume in cubic feet of the ball
The Formula for the volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]
r --> length of radius --> 2ft
Volume = [tex]\frac{4}{3} \pi (2)^3 = \frac{4*8}{3} \pi =33.510[/tex]
The volume is 33.51 cubic feet
Hope that helps!
QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .
At alpha level equal to 0.05, there is no significant difference between mean completion times.
How to illustrate the significance level?From the complete information, the test statistic will be:
t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25
t = 0.3682
The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.
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23. Your friend in Spain sends you a recipe. The directions say to pre-heat
the oven to 95°C. What is the temperature in degrees Fahrenheit?
(F = 1.8C + 32)
Answer:
203° F
Step-by-step explanation:
F = 1.8C + 32
F = 1.8 × 95 + 32
F = 203
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
30 degrees
Step-by-step explanation:
inscribed angle angle x encompasses 360 - 120 - 180 = 60 degrees of arc
this is 2 times the measure if the inscribed angle
angle B = 30 degrees
3/4 of ... is 12 I neeed your help please help me
Answer:
The number is 16.
Step-by-step explanation:
So we need to find 3/4 of a number to get 12.
We don't know what the number is, so we assign it a variable. We will assign the variable x and try to solve it.
We translate our problem into an equation. Since x is the variable and we multiply by 3/4, we get the value of 12, which is exactly what we are trying to do.
(3/4)(x) = 12
To solve, we multiply both sides by 4/3, because in order to solve for x (the variable), it needs to be separated and isolated from everything else.
(4/3) * (3/4)(x) = (4/3) * 12
4/3 * 3/4 = 1 and (4*12)/3 = 48/3 = 16
x = 16
The number is 16.
Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number
it will be 3375 bacteria my ducky
A simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
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could someone help me factor trinomials super fast?
if you want extra points you could check out question before this
Answer:
A: (8x-5y)(x-y)
B: -(3s-5r)(4s+7r)
Step-by-step explanation:
Explanation is in photo.
~Hope thsi helps~
Answer:
a) (x - y)(8x - 5y)
b) (-4s - 7r)(3s - 5r)
Step-by-step explanation:
Hope this helps
If a tennis ball has a diameter of 14, What is the volume of the tennis ball? Round to the nearest hundreth Use
3.14 for it pi
if its diameter is 14, then its radius is half that or 7.
[tex]\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}[/tex]
Answer:
[tex]1436.76... units^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a sphere.
[tex]V = \frac{4}{3} \pi r^3[/tex]
The question gives you diameter. As you know, diameter is twice the radius. Therefore, to convert diameter into radius, you divide the diameter by 2.
[tex]r = 14/2[/tex] [tex]= 7[/tex]
Now that you have the radius, all you need to do is plug it into the volume formula.
[tex]V = \frac{4}{3}\pi 7^3[/tex] = [tex]1436.76... units^3[/tex]
Choose the expression that is equivalent to 7w2-3/5 (10m2 - 15w – 15) +2w
Answer:
The answer is C :)
Step-by-step explanation:
i need help ill give uh 15?
Answer:
The answer is b- 1/4 = 4 3/4
Step-by-step explanation:
B stands for the total amount of chocolate bars they started with.
Gabby ate 1/4 of those chocolate bars.
4 3/4 of the chocolate bars were left after that.
So, total amount of bars - what Gabby ate = chocolate bars that are left
b - 1/4 = 4 3/4
Select all of the expressions that have a value of 18.
A) 324 ÷ 18
B) 468 ÷ 26
C) 724 ÷ 40
D) 1,062 ÷ 59
E) 1,071 ÷ 60
Pls show work!!
Answer:
A,B,C
Step-by-step explanation:
Just divide them hope this helps x
convert 30 g 519 mg to g
Answer:
30.519 g
Step-by-step explanation:
The relation
1 g = 1000 mgSolving
30 g 519 mg30 g + 519 mg30 g + (519/1000) g30 g + 0.519 g30.519 gF(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5
What is g(x) +f(x)
Bob plans to complete a 375 mile trip in hours. At what rate is he planning to travel?
Answer: 55 mph
Step-by-step explanation: rate=distance/time=275/5=55 miles per hour
Elizabeth had 3 orange marbles, 2 green marbles, and 3 yellow marbles in a bag. There were no other marbles in the bag. Without looking, Elizabeth selected a marble from the bag.
What is the probability Elizabeth selected an orange marble from the bag?
A 2/8
B 3/8
C 5/8
D 6/8
Answer:
3/8
(B)
Step-by-step explanation:
3+2+3=8.
There are 3 orange, so 3/8
Answer:
7/8
Step-by-step explanation:
3+3+2=8 but it said probability she selected AN orange marble
PLEASE HELP, I'M BEING TIMED ;----;
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
Answer:
196 ft cubed
Step-by-step explanation:
formula = ((bxh)/2) x length
so
7 x 7 = 49
49 / 2 = 24.5
24.5 x 8 = 196
Hope this helps! If you need further help, let me know!
- profparis
Write a Pseudo code for average speed
Answer:
SEQUENCE represents linear tasks sequentially performed one after the other.
WHILE a loop with a condition at its beginning.
REPEAT-UNTIL a loop with a condition at the bottom.
FOR another way of looping.
IF-THEN-ELSE a conditional statement changing the flow of the algorithm.
CASE the generalization form of IF-THEN-ELSE
Step-by-step explanation:
Always capitalize the initial word (often one of the main 6 constructs).
Have only one statement per line.
Indent to show hierarchy, improve readability, and show nested constructs.
Always end multiline sections using any of the END keywords (ENDIF, ENDWHILE, etc.).
Keep your statements programming language independent.
Use the naming domain of the problem, not that of the implementation. E.g., “Append the last name to the first name” instead of “name = first+ last.”
Keep it simple, concise, and readable.
The sum of the interior angle of a polygon is 1260 degrees. How many sides does the polygon have?
Answer: 9 sides
Step-by-step explanation:
If this is a perfect polygon then the answer is 9 sides. A perfect polygon is a polygon where all the sides and angles are congruent to each other.
180°(n-2) = 1,260°
n - 2 = 7
n = 9
Classify each of the following lines as parallel, transversal or perpendicular.
Answer:
5. Perpendicular
6. Parallel
7. Transversal
8. Perpendicular
9. Parallel
10.Transversal
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
EG = 6 in.
Step-by-step explanation:
EG is congruent to DF and DF is 6 in. so EG would be 6 in.
Answer:
6 in.
Step-by-step explanation:
DF's length is congruent ( same ) to EG's length which is shown by the one mark on each side
Since DF's length is 6 inches, EG's length is also 6 inches.
Therefore,the answer is 6 in( inches )
Hope this helps!
Please mark as brainliest!!!
6. Kayla is planning to buy a new phone. Rongers charges $0 for down payment plus $127 monthly fee. Fidoll charges $363 for down payment plus $94 monthly fee.
a) When will the two plans charge the same amount (the same number of months for both plans)?
b) If both plans are contracted for 2 years (24 months), which plan would you recommend to Kayla? Explain.
Answer:
See below ↓↓
Step-by-step explanation:
Plan 1
0 + 127xPlan 2
363 + 94xPart A
Equating them
⇒ 127x = 363 + 94x
⇒ 33x = 363
⇒ x = 11 months [They will be same at this point]
Part B
⇒ Plan 1 : 127(24) = $3048
⇒ Plan 2 : 363 + 94(24) = 2256 + 363 = $2619
⇒ I would recommend Plan 2 as it costs less for the time period of 2 years
Can someone help I will mark u brilliant
Answer:
50
Step-by-step explanation:
We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.
Answer:
First, we must know the formula for the area of a circle.
The formula for the area of a circle is;
A = π[tex]r^{2}[/tex]Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.
Plug in what you know;R(radius) = 4 feet.
So,
A = π[tex]r^{2}[/tex]
Will be;
A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".
Simplify:-
A = 3.14(16)
A = 50.24 feet is the area.
divide 5/8 ÷ 3/4 please please please please please
Answer:
this answer is 0.83
Step-by-step explanation:
5/8 is 0.625, 3/4 is 0.75 and 0.625 divided by 0.75 is 0.83
Answer: 5/6
All you have to do is combine the two equations, like so [tex]\frac{5*4}{8*3}[/tex]
Multiply [tex]\frac{20}{24}[/tex]
Then simplify [tex]\frac{5}{6}[/tex]