[tex] \huge \sf \dag Answer : [/tex]
Option b, Because it is already known in the problem that the chances of someone getting an A+ in AP Physics are 0.12 and 0.2 is no longer needed because it could be just a mind-blower.
Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1over 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $386.25. How many overtime hours did she work that week?
Answer:
11 hours
Step-by-step explanation:
$386.25 - (35 x $7.50) = $123.75 <--- overtime
$7.50 x 1.5 = $11.25
$123.75 / $11.25 = 11 hours overtime
Write the equation of the lines described.
The line has a y-intercept of (0,3) and goes
through the point (2,7)
Answer:
y=2x+3
Step-by-step explanation:
Hi there!
We want to write the equation of the line
We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept
The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3
So the value of b in this case is 3
Substitute 3 as b into the equation:
y=mx+3
Now we need to find m
As the equation passes through the point (2,7), we can use it to help solve for the value of m
Substitute 2 as x and 7 as y into the equation:
7=2m+3
Subtract 3 from both sides
4=2m
Divide both sides by 2
m=2
Substitute 2 as m into the equation:
y=2x+3
Hope this helps!
Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022
how do you find A? will give brainliest.
Answer:
a = -2/9
Step-by-step explanation:
Locate two points that cross grid intersections and compute the slope of the line between them. I would choose the vertex (4, 4) and the point (-5, 2) as being points where the graph crosses grid intersections.
The slope of the line between those points is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (2 -4)/(-5 -4) = -2/-9 = 2/9
We note that this representation of the absolute value function appears inverted (reflected across the x-axis). That means the coefficient 'a' will be negative. The slope of an unmodified absolute value function is -1 to the left of the vertex. It will only be 2/9 if the function has been multiplied by -2/9.
a = -2/9
__
Additional comment
The vertex on the graph is at (4, 4), so the values of (h, k) are (4, 4).
Answer:
[tex]-\frac{2}{9}[/tex]
Step-by-step explanation:
Using the points (-5,2) and (4,4), the slope is given as 2/9. This is an absolute value graph, so from this information the slope is either 2/9 or -2/9. The graph faces downwards, so the slope is negative and therefore [tex]-\frac{2}{9}[/tex].
Can anyone help me with this?
[tex]\\ \rm{:}\rightarrowtail tan50=\dfrac{p}{12}[/tex]
[tex]\\ \rm{:}\rightarrowtail p=12tan50[/tex]
[tex]\\ \rm{:}\rightarrowtail p=12(1.19)=14.3[/tex]
Now
Area=
1/2×Base×Height[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}(12)(14.3)=6(14.3)=85.8cm^2[/tex]
A student calculated the mean of a set of 15 numbers and gets a result of 41.6. In calculating the mean, he inadvertently entered 117 for one of the numbers into his calculator instead of 17. What is the true mean of the data
Answer:
35.93
Step-by-step explanation:
If the mean of 15 numbers is 41.6, the sum of these numbers must be (15)*(41.6) = 624
We n=know one of these numbers is the 117 that was entered by mistake. Subtract that out and replace it with the correct number, 17. In essence we are modifying the number by (-117+17) or -100.
524 is the corrected value. Divide that by 15 to find the ciorrect mean:
(524)/15 = 34.93
i will give brand list and hurry pleas
Answer:
3/2 cm/s
Step-by-step explanation:
speed = gradient of the line (slope)
To calculate the slope divide the change in y by the change in x:
(9 - 0) / (6 - 0) = 9/6 = 3/2 cm/s
Solve using substitution.
y = –8x − 10
y = –6x − 6
Answer:
(-2,6)
Step-by-step explanation:
Since both of the equations are equal to y, we can set these equations equal to each other. This means that the new equation using substitution is -8x-10=-6x-6.
To solve, first, add 10 to both sides-8x=-6x+4
Next, add 6x to both sides-2x=4
Finally, divide both sides by -2x=-2
This means that the x value is -2. Then, to find the y value, substitute -2 into the first equation (the second equation also works if you want to). So, the equation looks like y=-8(-2)-10. Solve this and it gives you y=6. Therefore, the final coordinate pair is (-2,6).
When a number is trebled and then decreased by 5, the answer is 19. find the original number.
Answer: i think 8
Step-by-step explanation: trebled means three times so 8x3=24 then 24-5=19
find rate of change!! basic algebra
The slope of these lines is -17/7
The graph of y = e^xis transformed as shown in the graph below. Which equation represents the tra
function?
Answer:
[tex]y=e^x+3[/tex]
Step-by-step explanation:
By inspection, we can see that the curve crosses the y-axis at (0, 4)
Therefore, when x = 0, y = 4
Inputting x = 0 into the equations:
[tex]y=e^{x-3} \implies y=e^{-3}[/tex]
[tex]y=e^x+3 \implies y=e^0+3=1+3=4[/tex]
[tex]y=e^{x+3} \implies y=e^4[/tex]
[tex]y=e^{x-3}+3^3=e^{-3}+27[/tex]
Therefore, the only equation that gives y = 4 when x = 0 is [tex]y=e^x+3[/tex]
Check option B
[tex]\\ \rm\longmapsto y=e^x+3[/tex]
Put values
[tex]\\ \rm\longmapsto y=e^0+3=1+3=4[/tex]
Hence option B is correct
Tessa wants to separate 187 ears of corn into bags of 6 ears each. She has 35 bags. Estimate to find whether Tessa has enough bags. Explain.
Answer:
The answer is 228 bags left
devin runs 12 minutes per mile, and jack runs at 10 minutes per mile, how long will it take jack to catch devin? estimate your answer using the graphing method
12x-10x=2x
2XAfter 2 minutes per mile
I need help with this question please.
Answer:
1/5x dogs were on a leash
Step-by-step explanation:
To work through this problem we have to keep in mind that x represents the number of dogs at the park.
1/5 of x dogs are leashed.
Therefore, we can conclude that the answer is 1/5x.
I have no idea if the picture of the dogs was meant to give a clue but hope this helps :)
I need help please someone
Answer:
A- not sure how to show u
B- 50% or 1/2
C-33% or 1/3
D- 40% or 2/5 im not sure
Step-by-step explanation:
A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter.A square based tent house has length of base 20m and it is in the form of cuboid upto the height of 10m and then a pyramid with equal base. The tent house contains4800m3 air. Find the total cost of canvas required to make the tent at the rate of Rs 15 per square meter. helpp
The total cost of canvas required to make the tent at the rate of Rs. 15 per square meter is; Rs. 24,997
What is the area of a composite shape?We are told that the bottom part of the tent house is a square cuboid up to a height of 10 m.
Thereafter, it is a pyramid.
Now, formula for volume of a cuboid is;
V = lwh
V = 20 * 20 * 10
V = 4000 m³
Formula for volume of a pyramid is;
V = lwh/3
V = (20 * 20 * h)/3
V = 400h/3
Total volume is 4800 of the entire tent house. Thus;
4000 + (400h/3) = 4800
400h/3 = 800
h = (800 * 3)/400
h = 6 m
Now, from online calculation, the surface area of the pyramid excluding the base is;
TSA_p = 466.48 m²
Total surface area of cuboid excluding the top is;
S.A = 1200 m²
Total surface area of canvas = 1200 + 466.48 = 1666.48 m²
Since cost per sq.m is Rs. 15 per m², then;
Total cost = 15 * 1666.48
Total Cost = Rs. 24,997
Read more about Total Cost at; https://brainly.com/question/25109150
which is greater 5/7 or 3/4?
Answer:
3/4
Step-by-step explanation:
common denominator is 28
20/28 and 21/28 so 3/4 is greater
5/7 = 0.71
3/4 = 0.75
¾ is greater.
- Toodles!~
HELP Solve for x and PS
Answer:
x = 18 2/3PS = 34 1/3Step-by-step explanation:
You want the values of x and PS for the trapezoid in the figure, given that its perimeter is 228 units.
SymmetryThe trapezoid is shown as an isosceles trapezoid, so PS = RQ. The Triangle RTQ will be repeated on the left side, meaning there is a point T' below point S such that T'P = 4 and T'T = SR = 4x+1.
PerimeterThe perimeter is the sum of side lengths. Working clockwise from the upper left corner this is ...
perimeter = (4x+1) +(2x -3) +4 +(4x +1) +4 +(2x -3) = 12x +4
SolutionSolving for x, we find ...
12x +4 = 228
12x = 224
x = 224/12
x = 18 2/3
And PS is ...
PS = RQ = 2x -3 = 2(18 2/3) -3 = 37 1/3 -3
PS = 34 1/3
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OABC is a trapezium.
D is the point on OB such that OD : DB = 2:3
E is the point on BC such that BE : EC = 1:4
Work out the vector of DE in terms of a & b. Give your answer in its simplest form.
Answer:
DE = 2/5a + bStep-by-step explanation:
Find OB:
OB = a + bFind BC:
OB + BC = OCa + b + BC = 3bBC = 2b - aFind DB:
OD/DB = 2/3 ⇒ OD + DB = OB ⇒ 2x + 3x = OB ⇒ 5x = OB ⇒ x = OB/5DB = 3x = 3/5 OB = 3/5(a + b)Find BE:
BE/EC = 1/4 ⇒ BE + EC = BC ⇒ x + 4x = BC ⇒ 5x = BC ⇒ x = 1/5 BCBE = x ⇒ BE = 1/5 BC ⇒ BE = 1/5(2b - a)Find DE:
DE = DB + BEDE = 3/5(a + b) + 1/5(2b - a) DE = 1/5(3a + 3b + 2b - a)DE = 1/5(2a + 5b)DE = 2/5a + bSix days every week, Jill goes to Starbucks to get something. She
alternates in sequence between a Latte, a Mocha, and a Cappuccino,
and always gets the Venti size (20 ounces). The Latte has 240 calories. The Mocha has 340 calories, and the Cappuccino has 150 calories. A
year is approximately 52 weeks long. Consuming an extra 3,500 calories will cause you to gain one pound of fat. How many pounds of fat per year will Jill gain from feeding her Starbucks habit?
Vhat is the length of the unknown leg in the right triangle?
25 m
b
20 m
o 5 m
5 m
o 45 m
15 m
Mark this and return
Save and Exit
Next
Answer:
15m
Step-by-step explanation:
to answer this question, we need to use pythagorean theorem. this theory says:
a² + b² = c²
so, let’s work out b.
a² + b² = c²
20² + b² = 25²
20 x 20 = 400. 25 x 25 = 625.
400 + b² = 625.
we want to solve for b, which means to get b in it’s own, so we are going to get rid of the 400 on both sides, leaving just b² on the one side.
625-400=225.
b² = 225
b = √225
b = 15 :)
hope this helps!!!!
(7x2-4x-8) - (x2+6x-1)
Answer:
6x^2-10x-7
Step-by-step explanation:
(7x^2-4x-8) - (x^2+6x-1)
Distribute the minus sign
(7x^2-4x-8) - x^2-6x+1
Combine like terms
(7x^2-x^2 -4x-6x -8+1
6x^2-10x-7
Melissa collected the data in the table. When x = 4, what is the residual? –3 –1 1 3.
The residual value when the value of x = 4 is -1, the correct option is B.
Given
Melissa collected the data in the table.
Residual valueThe difference between the observed value of the dependent variable (y) and the predicted value (ŷ) is called the residual.
The value of x= 4 then the value of residual is given by;
[tex]\rm Residual=Given - predicted \ value[/tex]
Here, given is 9 and the predicted value is 10 for x =4.
Substitute all the values in the formula;
[tex]\rm Residual=Given - predicted \ value\\\\\rm Residual=9-10\\\\\rm Residual=-1[/tex]
Hence, the residual value when the value of x = 4 is -1.
To know more about residual value click the link given below.
brainly.com/question/15996059
Answer:
B
Step-by-step explanation:
The function f(x) = 1/x-3 is defined for all real numbers except when x equals
1) 0
2) 3
3) --
4) 3
lol
Answer:
except when x = 3
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-3}[/tex]
the denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
x - 3 = 0 ⇒ x = 3 ← excluded value
f(x) is defined for all real numbers except when x = 3
solve for x. show your solution
i’ll mark as brainiest
Answer:
x=12
Step-by-step explanation:
Using the external angle theorem (external angle = sum of interior angles that are NOT adjacent to the external angle you are finding), we can set up an equation...
140=3x+4+8x+4
Start by combining like terms...
140=11x+8
Subtract 8 from both sides
132=11x
Divide both sides by 11
x=12
what is the reciprocal of -0.06
Answer:
-16.666
Step-by-step explanation:
You can find the reciprocal by turning the intended fraction upside down.
[tex]\frac{-0.06}{1}[/tex] ⤭ [tex]\frac{1}{-0.06}[/tex] = [tex]\frac{100}{-6}[/tex] = [tex]\frac{50}{-3}[/tex] = -16.6666666667
What are the angles for angles 2 through 8?
Please help (NO BOTS)
Answer: angle 2= 145
angle 3= 145
angle 4=35
angle 5=35
angle 6=145
angle 7= 145
angle 8=35
Step-by-step explanation:
look over your angle theorems like the interior angles theorem and the supplementary angle theorem
What is the exact volume of the cylinder?
Answer:
pie x r² x h is volume of cylinder
A city has a population of 260,000 people. Suppose that each year the population grows by 5.25 . What will the population be after 13 years?
Use the calculator provided and round your answer to the nearest whole number.
Answer:
494,314
Step-by-step explanation:Rounding to the nearest whole person, 494,314 people in 12 years.
Quadrilateral RSTU has one pair of opposite parallel sides and one pair of opposite congruent sides as shown.
Quadrilateral R S T U is shown. Sides R U and S T are parallel. The lengths of sides R S and U T are congruent.
Based on the given information, which statement best explains whether the quadrilateral is a parallelogram?
It cannot be determined from the information given.
It is not a parallelogram because the congruent sides cannot be parallel.
It is not a parallelogram because the parallel sides cannot be congruent.
It is a parallelogram based on the single opposite side pair theorem.
Answer:
A It cannot be determined from the information given.
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
trust
How many solutions does this system have?
2 x +3y = -3
3x + 5 = -9
Answer:
x = 12 and y = -9
Explanation:
Given:
2 x +3y = -3
3x + 5y = -9
make x the subject:
[tex]2 x +3y = -3[/tex]
[tex]2x = -3 - 3y[/tex]
[tex]x = \frac{-3 - 3y}{2}[/tex] _____equation 1
[tex]3x + 5y = -9[/tex]
[tex]3x = -9-5y[/tex]
[tex]x = \frac{-9-5y}{3}[/tex] ______equation 2
solve them simultaneously:
[tex]\frac{-9-5y}{3} = \frac{-3 - 3y}{2}[/tex]
[tex]2(-9-5y) = 3(-3-3y)[/tex]
[tex]-18-10y = -9 - 9y[/tex]
[tex]-10y + 9y = -9 + 18[/tex]
[tex]-y = 9[/tex]
[tex]y = -9[/tex]
now solve for x:
[tex]2 x +3y = -3[/tex]
[tex]2x + 3(-9) = -3[/tex]
[tex]2x -27 = -3[/tex]
[tex]2x = -3 + 27[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
coordinates where they both intersect is (12,-9) at one point so they have one solution
Answer:
x = 12
y = -9
The system has one solution as it has one point of intersection at (12, -9)
Step-by-step explanation:
Equation 1: [tex]2x + 3y = -3[/tex]
Equation 2: [tex]3x + 5y = -9[/tex]
Rewrite equation 1 to make [tex]x[/tex] the subject:
[tex]2x + 3y = -3[/tex]
[tex]\implies 2x = -3 - 3y[/tex]
[tex]\implies x = -\dfrac32 - \dfrac32 y[/tex]
Substitute this into equation 2 and solve for [tex]y[/tex]:
[tex]3( -\dfrac32 - \dfrac32 y)+5y=-9[/tex]
[tex]\implies -\dfrac92 - \dfrac92 y+5y=-9[/tex]
[tex]\implies -\dfrac92 +\dfrac12 y=-9[/tex]
[tex]\implies \dfrac12 y=-\dfrac92[/tex]
[tex]\implies y=-9[/tex]
Substitute y = -9 into one of the equations to find [tex]x[/tex]:
[tex]2x + 3(-9) = -3[/tex]
[tex]\implies 2x - 27 = -3[/tex]
[tex]\implies 2x = 24[/tex]
[tex]\implies x=12[/tex]