Answers
Answer:
#3: x is approximately 0.37, -5.37, #4: x is approximately 4.19, -1.19
Step-by-step explanation:
You can solve using the quadratic equation or by solving with the perfect square
[tex]\frac{-b+/-\sqrt{b^{2}-4ac} }{2a}[/tex] = [tex]x^{2}+5x-2=0\\ \frac{-5+/-\sqrt{5^{2}-4(1)(-2) }}{2(1)}[/tex]
x is approximately 0.37, -5.37
Related Questions
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answers
Answer:
Part A = 73.91%
Part B = 1/2 probability
Step-by-step explanation:
Part A - 90 + 20 + 80 + 40 = 230(total students)
90 + 80 = 170 students who like tv and reading
170/230 × 100 = 73.91%
Part B - 20(no read)/40(no tv) = 1/2 probability
A bedroom wall is to be painted around a window as shown below.
A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle.
What is the area of the wall that will be painted?
A.6 feet squared
B.104 feet squared
C.110 feet squared
D.116 feet squared
Answers
Answer:B.104 feet squared
Step-by-step explanation:
First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104
Answer:
B
Step-by-step explanation:
sum of exterior angle triangle is 360°
Answers
Answer:
True
Step-by-step explanation:
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.
(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!
find the area of the attached image below. PLEASE HELP ASAP!
Answers
Answer:I think 15
Step-by-step explanation:
According to the Rational Root Theorem, Negative seven-eighths is a potential rational root of which function?
Answers
Answer:
f(x)=24x^7+3x^6+4x^3-x-28
Step-by-step explanation:
Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
A.
19
B.
29
C.
30
D.
31
Answers
Answer:
D. 31
Step-by-step explanation:
The edge dimension of a cube is the cube root of the volume. For the two boxes that are 1331 m³, the height is ...
∛(1331 m³) = 11 m
For the box that is 729 m³, the height is ...
∛(729 m³) = 9 m
Then the total height of the stack of boxes is ...
11 m + 11 m + 9 m = 31 m
Answer:
31
Step-by-step explanation:
I took the test on Edmentum, have a good day hope it helps :)
determine which equation below has a solution of x= 1/2
Answers
Answer:2x-1=0
Step-by-step explanation:
x=1/2
Cross multiply
2x=1
Subtract 1 from both sides
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given expression;
x=1/2
2x=1
Take 1 away from both sides.
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.
Hence, option A is correct.
To learn more, about equations, refer;
https://brainly.com/question/10413253
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Does the point (-4,-14) lie on the line
y = 2x - 6?
Answers
Answer:
Substitute the coordinate of point into line equation, we have:
2 x (-4) - 6 = -14
=> The point lies on the line
Hope this helps!
:)
The table represents a function.
What is f(5)?
o-8
х
—4
-1
3
5
f(x)
-2
5
4
-8
ооо
1
Answers
Answer:
f(5) = -8
Step-by-step explanation:
x -4 -1 3 5
f(x) -2 5 4 -8
f(5) is the value of f(x) when x = 5
f(5) = -8
Answer:
A) -8
Step-by-step explanation:
The person above me is correct because f(5) is the value of f(x), x=5. So f(5) = -8.
Please help if you can
Answers
Answer:
4
Step-by-step explanation:
We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!
The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the nearest hundredth of an inch? A.100.49 inchesC.50.24 inchesB.89.03 inchesD.25.12 inches
Answers
Answer:
C. 50.24 inches
Step-by-step explanation:
The area of a circle can be represented by [tex]\pi r^{2}[/tex]. To find the circumference, all we need to do is know the radius, and then we can plug that value into the circumference formula [tex]2\pi r[/tex]. So, to find the radius we see that:
[tex]\pi r^{2} = 201[/tex]
[tex]r = \sqrt{\frac{201}{\pi } }[/tex]
So, the circumference is:
[tex]2\pi (\sqrt{\frac{201}{\pi } })[/tex], which is closest to the answer C) 50.24 inches.
Hope this helped! :)
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answers
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
Learn more here: https://brainly.com/question/19286106
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins.
Answers
Answer:
there is no question
Step-by-step explanation:
It looks like the owner plays dirty, meaning he uses a trick of some kind to somehow influence the outcome in such a way, that it's outcome is no longer random.
By influencing the outcome, the owner can obtain an advantage over the playeers who are not aware of the trick or skill involved.
This is unfair and can be considered "dirty". This game is 'fixed'.
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Please help!
Answers
Answer:
4 in to the nearest whole number.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
Here Volume = 25 in^3 and r = 1/2 * 3 = 1.5 in.
So: 25 = π * 1.5^2 * h
25 = 2.25π h
h = 25 / 2.25π
h = 3.54 in
After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t
Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.
The bacterial culture loses 1/2 of its size every _________ seconds.
Answers
Answer:
0.17
Step-by-step explanation:
The function can be rewritten as ...
B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)
In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:
6t = 1
t = 1/6 ≈ 0.166667 ≈ 0.17
The culture loses half its size every 0.17 seconds.
.17
Step-by-step explanation:
2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?
Answers
Answer:
GH¢1533
Step-by-step explanation:
Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...
Patricia's share is 2d = 2000
Luca's share is d+600
From Patricia's share, we know Dauda's share is ...
d = 2000/2 = 1000
and Luca's share is ...
1000 +600 = 1600
__
The average share is the sum of these, divided by three:
(2000 +1000 +1600)/3 = 4600/3 = 1533.33
To the nearest GH¢, the average share is GH¢1533.
If a = -9 and b = -4, what is the value of a + b ?
-5
5
-13
13
Answers
Answer: -13
Step-by-step explanation:
-9 plus -4 equals -13
Answer:-13 I just know.
Step-by-step explanation:
find the value of x. Round the length to the nearest meter
Answers
Answer:
we need a picture to help
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answers
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.
Answers
Answer:
B. $424.000
Step-by-step explanation:
The function a(t)=424(1+0.06)
Consider the equation 1+n+6/n+1=4/n-2
A.What is the LCD of the rational expressions
B.What values must be excluded from the list of possible solutions
C.What is the solution of the equation?
Answers
Answer:
For part C I got n = negative 1 plus or minus the square root of 145, everything divided 4.
Step-by-step explanation:
My part A and B were the same as the persons above answer.
(A) The least common denominator of the equation is ±√2 - 2.
(B) The value of n = ±√2 - 2 must be excluded from the list of possible solutions.
(C) The solution of the equation 1 + n + 6 / n + 1= 4 / n - 2 is ±√2 - 2.
What is an equation ?
An equation is a combination of different variables, in which two mathematical expressions are equal to each other.
The given equation is,
1 + n + 6 / n + 1= 4 / n - 2.
(A)
The least common denominator of the equation is n.
(B)
The value of n must be excluded from the list of possible solutions.
(C)
To find the solution for the given equation,
Solve the equation,
2 + n + 6/n - 4/n + 2 = 0
4 + n + 2/n = 0
4n + n² + 2 = 0
n² + 4n + 2 = 0
n² + 4n + 4 + 2 - 4 = 0
(n + 2)² = 2
n + 2 = ±√2
n = ±√2 - 2
The required value of n is ±√2 - 2.
To know more about Equation on:
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What does (h,k) standard for in the standard circle equation?
Answers
Answer:It stands for the center of the equation
Step-by-step explanation:
(x-h)^2+(x-k) ^2=r^2
(h, k) stand for the center of the equation
while r stands for the radius
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answers
Answer: A. (0,a)
[tex]f(x) = a \cdot b^x[/tex]
[tex]f(0) = a \cdot b^0 = a \cdot 1 = a[/tex]
Answer:
I think it's B, but I don't really know how to explain it. Please rate this answer 5 stars if it is correct.
Step-by-step explanation:
12. Karen needs to spend at least $100 at a clothing store in order to receive 20% off her total purchase. So far she has spent $78 and she wants to spend the rest on new pairs of socks that cost $5.50 each. Write and solve an inequality to determine n, the number of socks Karen needs to buy in order to receive 20% off her total purchase.
Pick the Answer In the picture
Answers
Answer:
The answer would be the first one.
Step-by-step explanation:
5.50 x n which n=4 so its actually 5.50 x 4 which equals 22 then you add the 22 to the 78 to get the result of exactly 100 dollars.
david has to sell 778 chocolate bars to win a trip if each box contains 18 chocolate bars how many boxes will he need to sell to win the trip
Answers
Answer:
44 boxes
Step-by-step explanation:
778/18 = 43.222
round up cause you cant sell 2/10 of a box
The GCF of 18 and 30 is
Answers
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
Devon borrowed $1058 at 13% interest for 9 months what will he pay an interest
Answers
Answer:
1058 times 0.13= 137.54 then the Answer= 1237.86
Step-by-step explanation: :0
Find AB
Round to the nearest tenth.
Answers
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3
Answers
Answer:
y = -x - 2
Step-by-step explanation:
Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:
y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:
3 = 5 + C, or C = -2
Thus, the desired equation of this new line is y = -x - 2
Franco freezes the vegetables he grows in the summer so he can eat them all year long. He packs the vegetables into cube-shaped boxes that each have a volume of one cubic foot. Then, he places the boxes into a freezer that is shaped like a rectangular prism. The bottom of the freezer can be completely covered by a layer of 6 boxes. If the volume of the freezer is 18 cubic feet, what is its height?
Answers
Answer:
3 feet
Step-by-step explanation:
If there are 6 boxes in each layer, there are 3 layers to have a total of 18 boxes, each of which is 1 cubic foot.
Three layers of boxes that are 1 ft high will be 3 ft high.
The height of the freezer space is 3 feet.
