Answer:
$1,100
Step-by-step Explanation:
Dee Wallace's salary in 2006 = $61,000 Dee Wallace's salary in 2009 = $64,300
The salary increased in => 2009 - 2006 = 3yrs
The amount of salary increased = 64,300-61000 = $3,300
The annual change of salary = 3,300/3 = $1,100
Weekly wages at a certain factory are
normally distributed with a mean of
of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makesbetween
$400 and $450.
[? ]%
Answer:
The probability that a worker makes between $400 and $450 is .3413 using the calculator and .34 using the empirical rule.
Step-by-step explanation:
There are two ways to approach this problem.
The first way is to find the z-score corresponding to $400 and $450 weekly wage and find the p-value in between these values.
[tex]\displaystyle \frac{400-400}{50} < z < \frac{450-400}{50}[/tex][tex]\displaystyle 0 < z < 1[/tex]
If you use the normalcdf function on your calculator and put 0 and 1 as the lower and upper bounds, respectively, you will get an area of .3413.
Another way of looking at this problem is to recognize that the weekly wages given are the mean and one standard deviation above the mean.
We can use the Empirical Rule, 68-95-99.7, in order to see that going one standard deviation above the mean would be an area of 68/2 = .34.
I've attached an image that shows you what the normal curve looks like.
Find all values of k for which the equation 3x2−4x+k=0 has no solutions.
This should be an inequality.
Answer:
k>4/3
Step-by-step explanation:
The given quadratic equation is:
3x^2 - 4x + k = 0
To find, the value of k = ?
you use
Discriminant, D = - 4ac
= - 4(3)(k)
= 16 - 12k
The condition of no solutions.
D < 0
16 - 12k < 0
16<12k
4/3<k
⇒ k>4/3
The value of x in this system of equations is 1.
3x + y = 9
y = -4x + 10
Substitute the value of y in the first equation:
Combine like terms:
Apply the subtraction property of equality:
Apply the division property of equality:
3x + (-4x + 10) = 9
-X + 10 = 9
X
What is the value of y?
Answer:
y = 6
Step-by-step explanation:
y = -4(1) + 10 = -4 + 10 = 6
I need help
In y = 2^x + 1, what is the exponent?
Step-by-step explanation:
The natural log has a base of 'e'. That is the definition of the natural log. Therefore, using logarithm rules, 'e' to the power of the right side equals 'y':
[tex] {e}^{ {2}^{x} + 1 } = y[/tex]
Answer:
xStep-by-step explanation:
In this problem, x is the exponent as the term '2' is multiplied by itself x times. If you look a bit further, you will see there is also an invisible power on 1, but 1 raised to any exponent will be 1 itself so it isn't considered.
On your vacation, you and your family go to a concert. The tickets cost $6 for adults and $2 for
children under 12. If 175 tickets were sold, totaling $750, how many adult tickets were sold?
How many children's tickets were sold?
what is the surface area of this cylinder ?
Answer:
87.92 mm²
Step-by-step explanation:
Given:
Radius of circular base: 2 millimetersHeight of cylinder: 5 millimetersIt should be noted:
Surface area of cylinder: 2πrh + 2πr² (R = Radius; H = Height)When the measures are substituted, we get the following expression:
⇒ 2π(2)(5) + 2π(2)²Multiply the constants and substitute π as 3.14.
⇒ 20π + 2π(4)⇒ 20π + 8π⇒ 20(3.14) + 8(3.14)Finally, simplify the expression to determine the surface area.
⇒ 20(3.14) + 8(3.14)⇒ 62.8 + 25.12⇒ 87.92 mm²Answer:
88.0 mm² (nearest tenth)
Step-by-step explanation:
Surface area of a cylinder = [tex]2\pi r^2+2\pi rh[/tex]
where:
r = radiush = heightGiven:
r = 2 mmh = 5 mmSubstitute given values into the formula:
[tex]\begin{aligned}\sf \implies SA & =2\pi (2)^2+2\pi (2)(5)\\ & = 8 \pi+20 \pi\\ & = 28 \pi\\ & = 88.0\:\sf mm^2\:(nearest\:tenth)\end{aligned}[/tex]
6. A gas tank holds 450 gal. when it is filled to the height of 12 ft. How many
gallons will it hold when it is filled to 5 ft.?
Answer:
[tex]\huge\boxed{\sf 187.5\ gal.}[/tex]
Step-by-step explanation:
Given that:
For,
12 ft. height, gas tank can hold 450 gal.
Using unitary method:
12 ft = 450 gal.
Divide 12 to both sides
1 ft = 450/12 gal.
1 ft = 37.5 gal.
Multiply 5 to both sides
5 ft. = 37.5 × 5 gal.
5 ft. = 187.5 gal.
So, the height of 5 ft. holds 187.5 gal.
[tex]\rule[225]{225}{2}[/tex]
Answer:
187.5 gal
Step-by-step explanation:
A=lw
450=12(w)
450/12=37.5ft
A=lw
A=37.5(5)
A=187.5 gal
Hope that helps
An energy bar company manufactures peanut butter and chocolate bars.
Peanut butter bars cost 25¢ per lb.
The chocolate bars cost 30¢ per lb.
The company sold 260 lbs of bars for $71.
How many of the bars sold were peanut butter?
Answer:
sold 120 chocolate bars
sold 140 peanut butter bars
Step-by-step explanation:
x = peanut butter bars
y = chocolate bars
x + y = 260, total lbs
0.25x + 0.30y = 71, money
solve double variable equation
multiply -4 on both sides for 2nd equation
-x + -1.2y = -284
add both equations together
-0.2y = -24
y = 120
x = 260 - 120
x = 140
sold 120 chocolate bars
sold 140 peanut butter bars
When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time
Answer:
B
Step-by-step explanation
U need to keep up with your training and work hard
7
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an
annual simple interest rate of 8%. After 8 years, the interest earned on the account was $5,760. How much money did Mike's
grandmother deposit in the account?
OA. $8,000
OB. $9,500
OC. $10,000
OD. $9,000
Answer:
we have to use the formula of simple interest, which is
I = P r t
Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .
In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .
Substituting the values in the formula, we will get
4840=0.11*11*P4840=0.11∗11∗P
4840=1.21 P4840=1.21P
P=4000
So she invested $4000
Answer:
Option: D P = 9000
Step-by-step explanation:
I = PRT
5760 = P * 0.08 * 8
5760 = 0.64P
9,000 = P
During a period of inflation, the graph of the consumer price index (CPI) will
fall.
A. True
B. False
SUBMIT
Answer:
B. Fakse
explanation:
In
inflation
, the CPI will rise. In deflation, the CPI will fall
10. How do personality differences relate to your community?
O A. Community activities are mainly for extroverts.
O B. Community activities are mainly for introverts.
C. Communities have needs that appeal to many different personality types.
O D. Communities only need one personality type.
Answer:how can you easily improve your family relationships by understanding personality types
Step-by-step explanation:
The diameter of a circle is 222 units.
What is the radius of the circle?
units
Answer:
111
Step-by-step explanation:
divide by 2 to find the radius
Use vertex form to write the equation of the parabola below.
1
35
A.
y=-(x - 1)2 +1
B. y = (x+1)2 + 2
B
y = (x-1)
Dy= (x+1)+1
Answer:
It's the first option (A)
Step-by-step explanation:
Since it's heading towards negative Ys so in ax²+bx+c, a is negative and only option that a is negative in it, is option A.
Additionally, the parabola is moved 1 unit towards positive Xs, so —(x—1)²
and it's one unit up so —(x—1)²+1
Find the area of a regular quadrilateral that has a perimeter of 88V2
meters
Help please,
Depends upon what's the quadrilateral is
Solving according to square
Perimeter=4a
4a=88a=88/4=22So
Area:-
22²=484units²
Find the area of the shaded shape. Write the area in square unit
Answer:
432 square feet
Step-by-step explanation:
Hello there.
Do you see those half shaded squares on the top? Those count as half a square.
Do 6 times 3 to get 24. Multiply 24 with 16 to get 384.
There are 6 half shaded squares which equals to 3 full squares. Multiply 3 and 16 to get 48. Lastly, add 384 with 48 to get your answer.
Hope this helped, Angelo
A piece of wire 19 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle.
How much wire should be used for the square in order to minimize the total area?
Answer: 8.26 m
Step-by-step explanation:
[tex]$$Let s be the length of the wire used for the square. \\Let $t$ be the length of the wire used for the triangle. \\Let $A_{S}$ be the area of the square. \\Let ${A}_{T}}$ be the area of the triangle. \\One side of the square is $\frac{s}{4}$ \\Therefore,we know that,$$A_{S}=\left(\frac{s}{4}\right)^{2}=\frac{s^{2}}{16}$$[/tex]
[tex]$$The formula for the area of an equilateral triangle is, $A=\frac{\sqrt{3}}{4} a^{2}$ where $a$ is the length of one side,And one side of our triangle is $\frac{t}{3}$So,We know that,$$A_{T}=\frac{\sqrt{3}}{4}\left(\frac{t}{3}\right)^{2}$$We have to find the value of "s" such that,$\mathrm{s}+\mathrm{t}=19$ hence, $\mathrm{t}=19-\mathrm{s}$And$$A_{S}+A_{T}=A_{S+T}$$[/tex]
[tex]$$Therefore,$$\begin{aligned}&A_{T}=\frac{\sqrt{3}}{4}\left(\frac{(19-s)}{3}\right)^{2}=\frac{\sqrt{3}(19-s)^{2}}{36} \\&A_{T+S}=\frac{s^{2}}{16}+\frac{\sqrt{3}(19-s)^{2}}{36}\end{aligned}[/tex]
[tex]$$Differentiating the above equation with respect to s we get,$$A^{\prime}{ }_{T+S}=\frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}$$Now we solve $A_{S+T}^{\prime}=0$$$\begin{aligned}&\Rightarrow \frac{s}{8}-\frac{\sqrt{3}(19-s)}{18}=0 \\&\Rightarrow \frac{s}{8}=\frac{\sqrt{3}(19-s)}{18}\end{aligned}$$Cross multiply,$$\begin{aligned}&18 s=8 \sqrt{3}(19-s) \\&18 s=152 \sqrt{3}-8 \sqrt{3} s \\&(18+8 \sqrt{3}) s=152 \sqrt{3} \\&s=\frac{152 \sqrt{3}}{(18+8 \sqrt{3})} \approx 8.26\end{aligned}$$[/tex]
[tex]$$The domain of $s$ is $[0,19]$.So the endpoints are 0 and 19$$\begin{aligned}&A_{T+S}(0)=\frac{0^{2}}{16}+\frac{\sqrt{3}(19-0)^{2}}{36} \approx 17.36 \\&A_{T+S}(8.26)=\frac{8.26^{2}}{16}+\frac{\sqrt{3}(19-8.26)^{2}}{36} \approx 9.81 \\&A_{T+S}(19)=\frac{19^{2}}{16}+\frac{\sqrt{3}(19-19)^{2}}{36}=22.56\end{aligned}$$[/tex]
[tex]$$Therefore, for the minimum area, $8.26 \mathrm{~m}$ should be used for the square[/tex]
A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before
falling down to the ground.
1. Which of these graphs represent this situation? Explain how you know in 2-3 sentences
|A
B
C
2. What would be appropriate labels for your x-axis?
3. What would be appropriate labels for your y axis?
4. According to your graph, roughly when does the ball hit the ground?
Answer:
1. answer is B because it is the only graph that represents the time stuck in the tree at a certain time then the continuous fall of the ball after falling out of the tree. 2. X-axis would be time or seconds 3. Y-axis would be height in air 4. 14 seconds after it was rhrown
Answer:
its B
Step-by-step explanation:
Have you smiled today? its very important:)
5x^2-10x=9x+4
Solve the quadratic equation by factoring
Answer:
x = 4 or - 1/5
Step-by-step explanation:
If you need help or want to see work you can go to Tiger algebra.
Hope it helped!
What is the equation of the line that passes through the point (4,−2) and has an undefined slope?
When a line has an undefined slope, it means that it is a vertical line. Vertical lines are written in the following form:
[tex]x=d[/tex], where d is the x-interceptThe x-intercept of a vertical line is the value of x when y=0Solving the QuestionFor any vertical line, the x-coordinate is constant. This means that for any point that falls on the line, the x-coordinate will always be the same.
If we're given that the line passes through the point (4,-2), this means that the x-coordinate for every piont this line passes through is 4.
In other words, the x-intercept of this line is 4.
[tex]x=4[/tex]
Answer[tex]x=4[/tex]
15. Roger, Luisa, Chin, and Wenona were playing a game. For each correct answer, a game plece could be moved ahead. The game pieces had been moved 2 dm, 15 cm, 75 mm, and 0.12 m. Roger's piece had moved 15 cm. Luisa's piece had moved farther than 75 mm. Chin's piece hadn't moved to 0.12 m. Wenona's piece had moved 2 dm. Order the students from first place to fourth place. To solve, convert all the measures to the same unit. HELP
Answer:
1. Wenonas piece: moved 20 cm
2. Rogers piece: 15cm
3. Luisas piece: <7.5cm
4. Chins piece: >12cm
this is the order, HOPE THIS HELPS!
PLS HELPP Find the value of x.
7
10
6
3
Answer:
10
Step-by-step explanation:
Write the decimals in expanded notation 0.685
[tex]0.685[/tex]
to find:the expanded notation form.
solution:[tex]0[/tex]
[tex] + 0.6[/tex]
[tex] + 0.08[/tex]
[tex] + 0.005[/tex]
it can be written as a sentence also,
0 + 0.6 + 0.08 + 0.005
A canoe travels 5 miles downstream at rate r, and then 5 miles back upstream at
70% of its downstream rate. Write and simplify a rational expression for the total
time of the trip.
Answer:
See below
Step-by-step explanation:
distance / rate = time
d/r + d/(.7r) = total time
5 /r + 5 /(.7r) = time
35/7r + 50/7r = time
85/7r = time
The area of a square is defined by, A(X) = x2 - 6x + 9. What is the length of a side of the square?
1- I-3
2- I +3
3- 2-9
3- x - 6
Answer:
Step-by-step explanation:
None of the answers look right to me unless you are given something I'm not aware of.
A(x) can be factored. When it is, the following is what is obtained.
A(x) = (x- 3)(x - 3)
Since the area of a square is
Area = s^2
where s is the length of the side, you can find the square root by using the rules of roots.
s^2 = (x - 3)(x - 3)
√s²= √(x - 3)²
√s² = s
√(x - 3)² = x - 3
Therefore the answer should be s = x-3
The only thing I think you can do is ask whoever is presenting the course how any of those answers are obtained.
Answer:
x-3
Step-by-step explanation:
thats what the guy above me's answer is to make it easier
(1/4)^3z-1=16^z+2x 64^z-2
Answer:
Step-by-step explanation:
BRAINLIEST+ STARS!!!
What is the volume of this cone? Use 3.14 for pi and round your answer to the
nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then
explain how you calculated it.
Answer:
I had two other people with the same question, so I'm gonna assume that the radius is 2 and the height is 8. Here is the answer: 39.5 in^3
Step-by-step explanation:
The formula for a cone is (pi)(r^2)(h/3)
Since we have to use 3.14 for pi, we plug 3.14 in for pi:
(3.14)(r^2)(h/3)
The radius is 2 and the height is 8, so we plug in those numbers:
(3.14)(2^2)(8/3)
Simplify:
(3.14)(4)(2.666...)
Multiply:
(12.56)(2.666...) -> 39.49333...
Finally, we round 39.49333... to the tenths place:
39.5
Hope this helps :)
Write a quadratic function with zeroes -8 and -6.
Write your answer using the variable x and in standard form with a leading coefficient of 1.
f(x) =
Answer:
see below
Step-by-step explanation:
zeroes = -6 and -8
y = (x+8)(x+6) expand to
y = x^2 + 14x + 48
All of the following are examples of attempts to offset carbon emissions EXCEPT...
A. Kyoto Protocol
B. Freedom in Industry
C. Nuclear energy
D. Sun, Wind, and Tidal energy
Answer:
B. Freedom in Industry
Step-by-step explanation:
The Kyoto Protocol is a commitment between countries to limit the amount of greenhouse gases produced. Nuclear, Sun, Wind, and Tidal energy are all renewable energy sources.
Help Me On This!!
[tex] \: \: \: \: [/tex]
The above diagram shows a rectangular prism
Formula's:Volume: Length x Width x Height
Surface area: 2(Length x Width + Height x Width + Height x Length)
Solve for Volume:
5 x 10 x 4
200 m³
Solve for surface area:
2(10x 5 + 4 x 5 + 4 x 10)
2(50 + 20 + 40)
2(110)
220 m²