Answer:
wouldnt it be 13? and do you have have ps3
What did I forget to do in this question? What should the answer be?
Use only Quadratic Formula
[tex] {7x}^{2} + 9x + 2 = 0[/tex]
[tex] {x}^{2} + 9x + 14 = 0[/tex]
[tex](x + 7)(x + 2) = 0[/tex]
x= -7,x=-2
The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is
7x ² + 9x + 2 = 0
→ x ² + 9/7 x + 2/7 = 0
This step isn't actually necessary to begin with since the starting quadratic is easily factorized:
7x ² + 9x + 2 = (7x + 2) (x + 1) = 0
Then
7x + 2 = 0 or x + 1 = 0
7x = -2 or x = -1
x = -2/7 or x = -1
Susan works at the local Department store. She makes a 2% commission on all sales. She sells jewelry worth $20,000. What is her commission
Answer:
I think it's 2000
Step-by-step explanation:
In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is ________.
Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
How many blue cars are there?
Answer:
45% Of the cars are there
because it says 45% so I am pretty sure that is it
Jiya swam 200 meters more than Molly. Jiya swam a total of 800 meters. How many meters did Molly swim?
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Academic Year Chemistry majors non-Chemistry majors Freshmen 15 15 Sophomores 13 9 Juniors 2 10 Seniors 12 16 What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
Answer:
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability that a sophomore non-Chemistry major
Out of 92 students, 9 are non-chemistry major sophomores. So
[tex]P(A) = \frac{9}{92}[/tex]
Then a junior non-Chemistry major are chosen at random.
Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So
[tex]P(B) = \frac{10}{91}[/tex]
What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
[tex]P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108[/tex]
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
Write the phrase, 6 divided by p, as an algebraic expression
divisiond i v i s i o n
6p6 over p
p6
Answer:
p/6 division
Step-by-step explanation:
h(x)=-2x^(2)+3x what is the value of h(-3)
Answer:
h(-3) = -27
Step-by-step explanation:
Given that,
[tex]h(x)=-2x^{(2)}+3x[/tex]
We need to find the value of h(-3).
Put x = -3 in the given expression.
[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]
So, the value of h(-3) is equal to -27.
What is AC?
I NEED HELP!!!!
Answer:
its a i belive
Step-by-step explanation:
I need help finding the perimeter to this shape, show your work so I can understand thanks
Step-by-step explanation:
there you go hope this helps you
Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?
Answer:
Terrence spend more time walking his dog .
Step-by-step explanation:
3/5 = 0.6
1/3 = 0.333
0.6>0.333
Find two integers whose sum is 11 and product is 18
Answer:
9,2 and 2,9
Step-by-step explanation:
x+y=11
xy=18
Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.
How to solve it algebraically
18/y=x
x+y=11(insert 18/y for x)
18/y+y=11(factor it)
(y^2+18)/y=11(multiply both sides by y)
y^2+18=11y (subtract both sides by 11y)
y^2-11y+18=0
complete the square
y^2-11y = -18
(-11/2)^2=121/4 (add in on both sides)
y^2-11y+121/4=49/4
(y-11/2)^2=49/4 (square root both sides)
y-11/2=±7/2
y=11/2±7/2
y=9 or y=2
so
x=9 or x=2
Hope this helps :)
Please give brainliest
Find the probability that a randomly chosen point is located within the shaded region. Write your answer as a decimal, and
round to the nearest thousandth, if necessary.
6
3
Probability
Answer:
[tex]Probability = 0.25[/tex]
Step-by-step explanation:
Given
The attached shape
Required
Probability of locating within the shaded region
First, calculated the area of the shaded region
[tex]A_1 = 0.5 * base * height[/tex]
Where
[tex]base = 8cm\\ height = 6cm[/tex] --- given
So:
[tex]A_1 = 0.5 * 8cm* 6cm[/tex]
[tex]A_1 = 24cm^2[/tex]
Next, calculated the area of the complete rectangle
[tex]A_2 = Length* Width[/tex]
Where
[tex]Width = 12cm\\ Length = 8cm[/tex] --- given
So:
[tex]A_2 = 12cm * 8cm[/tex]
[tex]A_2 = 96cm^2[/tex]
The required probability is:
[tex]Probability = \frac{A_1}{A_2}[/tex]
[tex]Probability = \frac{24cm^2}{96cm^2}[/tex]
[tex]Probability = 0.25[/tex]
Hellllllpppppp meeee plzzzzz
A rectangular resort pool has a length of 45 feet and a width of 30 feet. A sitting area is attached to the pool and is in the shape of a semicircle with a diameter of 20 feet, as shown below. If the pool is filled to a depth of 5 feet and the sitting area is filled to a depth of 2.5 feet, approximately how much water is contained in both the sitting area and the pool?
Athletic Outfitters packs tennis balls into a cylinder with a diameter of 9.6 centimeters and a height of 39.5 centimeters. Each tennis ball has a diameter of 9.5 centimeters and there are 4tennis balls in each container. Approximately how much extra space is in the container?
Answer:
1 7142.699082ft³ (C)
2 1063.420642cm³ (A)
Step-by-step explanation:
Hey There!
1. So for the first one we want to find the volume of the rectangular pool and the volume of the semi cylinder
The dimension given are
length - 45
width - 30
height - 5
to find the volume we use
[tex]V=lwh[/tex]
[tex]45*30=1350\\1350x5=6750[/tex]
so the volume of the rectangular pool is 6750ft³
now we need to find the volume of the semi cylinder
the dimensions given are
diameter - 20
height - 2.5
so we find the volume by using the volume for a cylinder then dividing by 2
the volume for a cylinder formula is
[tex]V=\pi r^2h[/tex]
r = radius
h = height
to find the radius given the diameter we just divide by 2
20/2=10 so the radius is 10
now we just plug in the values and get
[tex]V=\frac{1}{2} \pi 10^22.5[/tex]
Note: the 1/2 is added because were finding the volume of a semi cylinder
[tex]10^2=100\\100(2.5)=250\\250\pi =785.3981634\\\frac{785.3981634}{2} =392.6990817[/tex]
So the volume of the sitting area is 392.6990817
Now that we have found the volume of each part we add them together to get the answer
[tex]392.6990817+6750=7142.699082[/tex]
2. For the second one we need to find the volume of the cylinder and subtract it by the volume of the tennis ball..s times 4 ( because there are 4 of them)
For the cylinder we are given the dimensions
height - 39.5
diameter - 9.5
Remember this is the formula of the volume of a cylinder
[tex]V=\pi r^2h[/tex]
r =radius
h = height
to convert diameter to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\pi 4.75^239.5\\4.75^2=22.5625\\22.565(39.5)=891.21875\\891.21875\pi =2859.100642[/tex]
so the volume of the container is 2859.100642cm³
now we need to find the volume of the tennis ball
to do this we use the formula
[tex]V=\frac{4}{3} \pi r^3[/tex]
we are given the dimensions of
diameter - 9.5
once again to convert to radius we divide by 2
9.5/2=4.75
now we plug in the values
[tex]V=\frac{4}{3} \pi 4.75^3\\4.75^3=107.171875\\107.171875\frac{4}{3} =142.8958333\\142.8958333\pi =448.9205002\\448.9205002(4)=1795.682001[/tex]
So the volume of the tennis bal...ls is 1795.682001
note: i multiplied by 4 because there are 4 tennis bal...ls
our final step is to subtract the volume of the bal...ls from the container
2859.100642-1795.682001=1063.420642
hope this helps :)
True or False? A circle could be circumscribed about the quadrilateral below. c 80° A. True 95° B. False 85°
Answer:
False
Step-by-step explanation:
The circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners. Two pairs of congruent sides, and it has one pair of opposite congruent angles.
As we know, the circle can be circumscribed around a quadrilateral if and only if the quadrilateral's opposite angles add up to 180 degrees.
But,
80 + 85 < 180
100 + 95 > 180
Thus, the circle could be circumscribed about the quadrilateral is false because the sum of the opposite angles is not 180 degrees.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ2
What's the expanded notation of 5.34
How many real cube roots does –343 have?
Answer:
Number (n)
Cubes (n3)
1-1
2-8
3-27
4-64
5-125
6-216
7-343
8-512
9-729
10-1000
Step-by-step explanation:
Help help help plz plz
Answer:2nd i think i hope this helps ! :)
Step-by-step explanation:
Pls somebody that knows this answer it please
Answer:
Im pretty sure it is 48 but it could be 96
Step-by-step explanation:
I just found the area and halved that.
please help!!
A hot-air balloon is rising straight up from a level field at a constant rate. This balloon is tracked by a range finder located on the ground 496feetfrom the lift-off point. At the moment the elevation angle from the range finder to the balloon is 0.875radian, this elevation angle is increasing at the rate of 0.225 radianper minute. At what rate is the distance between the range finder and the balloon changing when the elevation angle is 0.875 radian? Keep 3decimal places in your final answer
Answer:
46.091 m
Step-by-step explanation:
Given that
Height of the range finder, = 496 feet
Angle of elevation, θ = 0.875 Rad = 50°
Velocity of increment, = 0.225 rad/min
For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that
Tanθ = y / 496
y = 496 tanθ
On differentiating, we have
dy/dt = 496 sec²θ
dy/dt = 496 * 0.413 * de/df
dy/dt = 204.848 * de/df
dy/dt = 204.848 * 0.225
dy/dt = 46.091 m
In a family of four children, what is the
expected number of boys?
Boys
2.
3
4
0 1
1/16 1/4
Probability
3
3/8
1/4
1/16
Answer:
The answer is 2
For the acellus people
Step-by-step explanation:
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]
At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]
After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]
Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
[tex]W=\int_{t=0}^{t=36} F d x[/tex]
Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]
[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]
[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]
[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]
[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
What is the measure of the exterior angle shown in the figure below?
Answer:Measures of Exterior Angles
They are formed on the outer part, that is, the exterior of the angle.
The corresponding sum of the exterior and interior angles formed on the same side = 180°.
Step-by-step explanation: is that what u mean?
Simplify
|x+3| if x > 5
Answer:
rrir
Step-by-step explanation:
e8
...i dont know the answer
The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?
Answer:
82.5 is the right answer
What is the missing number? x:50 = 12:24
Answer:
Step-by-step explanation:
x/50 = 12/24
24x = 600
x= 25
How to wright a related multiplication sentence for 1/4 divided by 5
1/4 / 5 is equal to 4x5, or 20.
---
hope it helps
Find the value of x pls help again XD
Answer:
B
Step-by-step explanation:
[tex]90 = 60 + 3x \\ 30 = 3x \\ x = 10[/tex]
Answer:
10
Step-by-step explanation:
Find the area of the shaded region
Answer:
Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .
Step-by-step explanation:
base = 40
height = 16
Area of parallelogram = b×h = 40× 16= 640
Answer:
the area of the shaded area is 160 cm ²
Step-by-step explanation:
Hey There!
so the first step in solving this problem is to find the area of the whole shape
This is a trapezoid and the formula for area of a trapezoid is
[tex]A=\frac{a=b}{2} h[/tex]
a = base 1 (20)
b = base 2 (40)
h = height (16)
now we plug in the values
[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]
so the area of the trapezoid is 480
The next step is to find the area of the triangle
To do so we use this formula
[tex]A=\frac{hb}{2}[/tex]
h = height (16)
b = base (20)
now we just plug in the values
[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]
The area of the triangle is 160