Answer:
George now has 20 paid vacation days
Step-by-step explanation:
The given parameters are;
The number of years George has worked for the tech company = 5 years
The amount George makes annually while working for the company = $81,536
The starting amount of paid vacation time George has each year = 8 days
The annual increase in the amount of paid vacation time George has each year = 3 days
The maximum number of days of paid vacation allowable = 30 days
a. The number of paid vacation days George now has is given as follows;
The first year George had 8 days paid vacation
The next year George had 8 + 3 = 11 days paid vacation
The third year George had 11 + 3 = 14 days paid vacation
The fourth year George had 14 + 3 = 17 days paid vacation
The fifth year George had 17 + 3 = 20 days paid vacation
Therefore, George now has 20 paid vacation days.
HELP WILL MARK BRAINLIEST!!!
A quadratic function for a parabola has axis of symmetry x = -2, points (-3, 2) and (0,11) and opens upward. What is the value of a? What is the vertex?
Answer:
Let's see what to do buddy..
Step-by-step explanation:
_________________________________
STEP (1)
We know that the quadratic functions form are like this :
[tex]y = a \: {x}^{2} + b \: x + c [/tex]
The quadratic function opens upward so ;
[tex]a > 0[/tex]
The axis of parabolic symmetry passes through the vertex of the parabolic.
So we know that x vertex is equal to -2.
The vertex's x is finding from this equation:
[tex]x = - \frac{b}{2a} \\ [/tex]
So we have :
[tex] - 2 = - \frac{b}{2a} \\ [/tex]
Multiply the sides of the equation by 2a :
[tex]b = 4a[/tex]
_________________________________
STEP (2)
A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.
[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]
[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]
[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
How many solutions does the following equation have?
-6(x + 7) = -4x – 2
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions
Answer:
B. Exactly one solution
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!
what's the area for 8 in 6 in 4 in in a irregular polygon
Answer:
192
Step-by-step explanation:
8x6x4
Answer:
192
Step-by-step explanation:
because it is
what is 2x2x3+1-5?
thanks for helping
Answer:
8
Step-by-step explanation:
2x2=4
4x3=12
12+1=13
13-5=8
Answer:
8
Step-by-step explanation:
2x2x3+1-5
4×3+1-5
12+1-5
13-5
8
(5.9 x 10^6) and (3.2 x 10^4) find the product
Answer:
1888 × [tex]10^{8}[/tex]
or
188.8 × [tex]10^{9}[/tex]
or
18.88 × [tex]10^{10}[/tex]
Step-by-step explanation:
Lets look at this in a more simple way:
[tex](5.9[/tex] × [tex]10^{6} )[/tex] × [tex](3.2[/tex] × [tex]10^{4} )[/tex]
First, let's move [tex]10^{6}[/tex] and switch it's places with 3.2:
(5.9 × 3.2) × ([tex]10^{6}[/tex] × [tex]10^{4}[/tex])
Then, let's simplify:
18.88 × [tex]10^{10}[/tex]
Finally, Celebrate! WooHoo! You just learned how to do this!
Pls Brainliest! It would mean and help a lot! ;)
Thanks! Have a nice day! Please Thanks this, Vote 5, and Go to my Profile and Thanks me!
What’s there answer for this 4.5x10^-5
Answer:
0.000045
Step-by-step explanation:
*Two buses were coming from two different places situated just in the opposite
direction. The average speed of one bus is 5 km/hr more than that of another on
and they had started their journey in the same time. If the distance between
places is 500 km and they meet after 4 hours, find their speed.
Answer: 60 km/hr and 65 km/hr
Step-by-step explanation:
o-----------------------------------←500→-------------------------------------o
Bus 1: rate = r + 5 Bus 2: rate = r
time = 4 time = 4
distance = d distance = 500 - d
Use distance = rate x time
Bus 1: d = 4(r + 5) Bus 2: 500 - d = 4(r)
d = 4r + 20 -d = 4r - 500
d = 500 - 4r
Solve the System of Equations using the Substitution method:
4r + 20 = 500 - 4r
8r + 20 = 500
8r = 480
r = 60
Bus 1: rate = r + 5 Bus 2: rate = r
= 60 + 5 = 60
= 65
Distance between both buses = 500km
Time taken by them to meet each other = 4hr
Let speed of bus A be v km/hr.
ATQ, speed of bus B is 5km/ hr more than that of bus A.
∴ Speed of bus B will be (v + 5) km/hr.
★ Diagram :
[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]
★ As we know that,
Speed = Distance/Time ... (I)Assuming both buses as point masses,
Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by
[tex]\boxed{\bf{v_{AB}=v_A+v_B}}[/tex]Relative speed of bus A wrt B :
[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]
[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]
[tex]:\implies\bf\:v_{AB}=2v+5[/tex]
By substituting values in (I), we get
[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]
[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]
[tex]\leadsto\sf\:2v+5=125[/tex]
[tex]\leadsto\sf\:2v=120[/tex]
[tex]\leadsto\sf\:v=60\:kmph[/tex]
Speed of bus A = 60 kmphSpeed of bus B = (v + 5)
Speed of bus B = 65 kmphHope It Helps!much they will have left over. (a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart? it in the cart
64.5 is the answer.
I HOPE THIS HELPS HAVE A GREAT DAY!
Answer:
64.50
hope this helps!!!
what is the least common multiple of 31 and 46?
The gravity on the surface of the moon is 0.17 of the surface gravity on Earth. If Jack weighs 156 pounds on Earth, what would be his weight on the moon? (Will give brainliest)
Answer:
Jack will weigh 26.52 pounds
Step-by-step explanation:
x = 156 (Your weight on Earth)
y = 0.17 (Surface Gravity)
z = Your weight on the moon
x * y = z
156 * 0.17 = 26.52
Jack will weigh 26.52 pounds.
If Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.
What is gravitational force?All mass-bearing objects are attracted by gravitational force. Because it consistently attempts to bring masses together rather than push them apart, the gravitational force is referred to as attractive.
It is given that,
Gravity on the surface of the moon = 0.17
Weighs of Jack on Earth = 156 pounds
Mass of Jack,
W=mg
156 pounds = m × 9.81 [ g on earth = 9.81 m/s²]
m = 15.902 kg
The weight of Jack on the moon is,
W= 15.902 kg × 0.17
W=2.565 N
Thus, if Jack weighs 156 pounds on Earth his weight on the moon will be 26.52 pounds.
Learn more about the gravitational force here:
brainly.com/question/12528243
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What is the equation of the line that passes through the point (-5,7) and has a slope of -2/-5
this should be it y=-2/5x+5
-6(7) + 36 + (-12)
Helpppppp
Answer:
-18
Step-by-step explanation:
Answer:-18
Step-by-step explanation:
there were m balloons at the beginning of a party. by the end of the party, 6 of them had popped. using m, write an expression for the number of balloons that were left.
Answer:
m-6=x
Step-by-step explanation:
Can someone Find f(-1)
Answer:
-2
Step-by-step explanation:
f(-1)=-2. f(−1)=−2 f ( - 1 ) = - 2.
What is the value of the missing divisor in the equation 1,872 divided _____=234
Answer: 8
Step-by-step explanation: You can test 234 by multiplying it by random numbers like i did on a calculator and from there i tested 8 and it fit 1874 so i knew that was the answer
Please help me solve this!! If you do think yu so much and have a nice day or night
Answer:
5668
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.
Which equation can be used to determine the number of years, x, at which the trees will be an equal height?
14 + 12x = 16 + 2x
14 + 12, x, = 16 + 2, x
16 + 12x = 14 + 2x
16 + 12, x, = 14 + 2, x
12 + 16x = 2 + 14x
12 + 16, x, = 2 + 14, x
12 + 14x = 2 + 16x
12 + 14, x, = 2 + 16, x
Answer:
Step-by-step explanation:
X=5
Identify the percent of change as an increase or a decrease.
16 centimeters to 44.2 centimeters
Increase
Decrease
Question 2
Find the percent of change.
Answer:
Increase
Step-by-step explanation:
The number gets larger. Increase means it gets larger, but decrease means it gets lower.
Movie tickets are $9.00 for adults and $5.50 for children. One evening, the theater sold 36
tickets worth $282. How many adult tickets were sold? How many child tickets were sold?
Answer:
25
Step-by-step explanation:
;\
What’s -6y + 4x=5 in ymx+b
Answer:
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Step-by-step explanation:
First you need to solve the expression in order to get the expression in Slop-Intercept Form:
[tex]y = mx + b[/tex]
-The following equation:
[tex]-6y + 4x = 5[/tex]
Solve:
[tex]-6y + 4x = 5[/tex]
[tex]-6y + 4x - 4x = 5 - 4x[/tex]
[tex]-6y = 5 - 4x[/tex]
[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]
[tex]y = \frac{5 - 4x}{-6}[/tex]
[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]
Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].
Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
A) f(g(x)) = 12x2 + 4x - 27
B) f(g(x)) = 48x2 + 84x + 25
C) f(g(x)) = 48x2 + 124x + 72
D) f(g(x)) = 144x2 + 124x + 30
Answer:
Its C.
Step-by-step explanation:
Find f (−3) for the function f (x) = -5/-3 x -2
A) 3/5
B) -7
C) − 5/3
D) 3
E) −2
plug in -3 for x and get -5-2 which is -7 so b
The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?
Answer:
5
Step-by-step explanation:
8*5=40 so you multiply the ingredients by 5
-5/7*1/6
What's the answer?
Answer:
-5/42
Step-by-step explanation:
Answer: -0.11
Step-by-step explanation:
Amber worked 2.2 hours on Monday and 5.9 hours on Tuesday. Her pay rate is $9.50 per hour. How much will Amber be paid for two days?
Answer:
$76.95
Step-by-step explanation:
Amber worked for 2.2 hours on Monday and she makes $9.50 per hour, so that means you multiply 9.50 x 2.2 and it equals 20.9, then it says she works 5.9 hours on Tuesday, so that means you multiply 9.50 x 5.9 and it equals 56.05, so in total you add 20.9 from Monday and 56.05 from Tuesday and it equals 76.95, which means $76.95 is how much Amber will be paid.
Answer:
76.95
Step-by-step explanation:
The volleyball team at a certain high school raised $350 to buy a new net, and some volleyballs. The net costs $180, and each ball costs $17.00. The team does not want to exceed the amount of money they raised.
Answer:
this is a principal application not I m buying
13.8___13.80 < > = Complete the inequality statement with the symbol that makes it true
Answer:
=
Step-by-step explanation:
because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8
Answer:
13.8 = 13.80
Step-by-step explanation:
13.8 and 13.80 are the same values.
Hope it helped!
Can someone please help
Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.
The y-intercept is (0,4) because the graph passes through (0,4)
For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
(0,4) and (3,-2) both are the part of the graph, therefore.
[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]
So the slope is -2 and for the slope intercept form, it must be the equation.
We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.
Thus, [tex]y=-2x+4[/tex] from the y = mx + b.