Answer: [tex]x<\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](2x+3)(4x-1)<8x^2+1[/tex]
Begin by multiplying parentheses.
[tex](2x*4x)+(2x*-1)+(3*4x)+(3*-1)<8x^2+1[/tex]
[tex](8x^2)+(-2x)+(12x)+(-3)<8x^2+1[/tex]
[tex]8x^2-2x+12x-3<8x^2+1[/tex]
Subtract [tex]8x^2[/tex]
[tex]8x^2-2x+12x-3+(-8x^2)<8x^2+1+ (-8x^2)[/tex]
[tex]-2x+12x-3<1[/tex]
Add 3
[tex]-2x+12x-3+3<1+3[/tex]
[tex]-2x+12x<4[/tex]
Combine like terms;
[tex]10x<4[/tex]
Divide by 10
[tex]x<\frac{4}{10}[/tex]
Simplify;
[tex]x<\frac{2}{5}[/tex]
The square root of 83 can be platted on the number line below
Answer:
Step-by-step explanation:
The lines below are parallel. If the green line has a slope of -1, what is the slope of the red line? Enter your answer as an integer or a fraction in lowest terms
Answer:
The red line has a slope of -1
Step-by-step explanation:
This is because parallel lines have the same slope with a different y intercept.
If the green line's slope is -1 and it is parallel to the redline, they will have the same slope.
What is the slope of the line represented by the equation f(x)=3/2x-4 ?
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
Answer: 3/2 is the answer
The music teacher has a list of 128 students who have signed up for music classes. The music teacher can register 6 students in each class. What is the least number of classes needed for all the students to be registered in a class?
Answer:
24
Step-by-step explanation:
Divide 128 by 6 and get 23.3 but the .3 you need an extra class to fit the .3 in so add one class.
What did the Romans do to help protect most cities from attack?
They built them on hills.
They surrounded them with canals.
They bordered them with farmland.
They constructed walls around them.
Answer:
A
Step-by-step explanation:
Answer:A They built them on hills.
Step-by-step explanation:
They built them on hills bc they elwanted to keep them safe and B C and D would not provide the proper protection.
Solve by factoring
6a^2=-23a-20
Answer:
x=[tex]\frac{-4}{3}[/tex] or x=[tex]\frac{-5}{2}[/tex] I suggest using the MathPapa or the Symbolab websites for more factoring problems.Solve for the measure of x in the following diagram
The surface area of a sphere is 200.96 square centimeters. What is the approximate volume of the sphere? Use 3.14 for π. Round your answer to the nearest hundredth.
Answer:
[tex]267.95 cm^3[/tex]
Step-by-step explanation:
We need to first find the radius of the sphere.
The surface area of a sphere is given as:
[tex]A = 4\pi r^2[/tex]
where r is the radius
Therefore:
[tex]200.96 = 4 * 3.14 * r^2\\\\=> r^2 = 200.96 / 12.56\\\\r^2 = 16\\\\r = \sqrt{16} \\\\r = 4cm[/tex]
The radius of the sphere is 4 cm.
The volume of a sphere is given as:
[tex]V = \frac{4}{3} \pi r^3[/tex]
Therefore, the volume of the sphere of radius 4 cm is;
[tex]V = \frac{4}{3} * 3.14 * 4^3\\\\V = 267.95 cm^3[/tex]
The volume of the sphere is [tex]267.95 cm^3[/tex]
Answer:
C: 267.95 cm3
Step-by-step explanation:
If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability that only one of the three mice will turn left?
Answer:
.125
Step-by-step explanation:
(.5)^2(.5)^1= .125
Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.
Rewrite the equation by completing the square.
x^{2}-14x+33 = 0
Answer:
Step-by-step explanation:
x^2 - 14x = -33
14/2= 7
(7)^2 = 49
x^2 - 14x + 49 = -33 + 49
x^2 -14x + 49 = 16
(x-7)^2 - 16
Answer:
x = 11
x =3
Step-by-step explanation:
I hope it helps
Kavitha is going to spin the following spinner 200 times. The spinner is divided into equal sections:
mouse
mouse
monkey
monkey
elephant
What is the best prediction for the number of times the spinner will land on the elephant?
Answer:
Option (D) Close to 40 times but probably not exactly 40 times.
Answer:
D
Step-by-step explanation:
Khan
BC=
Round your answer to the nearest hundredth.
B
20°
?
A
4
с
Remember, SOH CAH TOA for the trigonometric functions. In this problem, we are given an angle, a side opposite that angle, and a side adjacent to that angle. So, we should use the tangent function to find the missing side.
tan(20) = 4 / x
tan(20)x = 4
x = 4 / tan(20)
x = 10.99 units
Hope this helps! :)
Answer:10.99
Step-by-step explanation:
Unit 5. 2) Please help. If a triangular prism and a cylinder have the same height and the same volume, what must be true about their bases?
Answer:
If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.
=> Option A is correct
Step-by-step explanation:
Because they share the same formula to calculate V = Base area x Height
V and Height are same, then Base areas are same.
Hope this helps!
:)
If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.
This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.
Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.
If the volume is the same for both shapes, then their bases must have the same area.
Therefore, their bases have the same area is the true statement among the given statements.
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Sausages come in packets of 7. Bread rolls come in packets of 5. Dan wants to buy enough
packs of sausages and rolls so that there are an equal number of sausages and rolls. What is
the minimum number of sausages and rolls he needs to buy?
Answer:
5 packs of sausages
7 packs of rolls
Step-by-step explanation:
So the least common multiple of 5 and 7
That's 35
Dan needs to buy 5 packs of sausages and 7 packs of rolls.
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Answer BOTH of them plz
What is b and what is c in degrees?
Answer:
c is 90 degrees and b is 10 degrees hope its right
Step-by-step explanation:
Carlos took a test and made a 50. On the next test, he made a 75. What is the percentage of change between the two test scores?
150% increase
50% increase
150% decrease
50% decrease
Luke buys a certain brand of cereal that costs $11 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. y = 9x Part A: How many more dollars is the price of a box of Luke's original brand of cereal than the price of a box of the super-saving brand? Show your work.
Answer:
Part A:
Luke's original box of cereal costs $2 more than the super-saving brand.
y=9(1)
y=9
11-9=2
Part B:
y=9(6)
y=54
11x6=66
66-54=12
Luke saves $12 each month if he buys 6 boxes of the super-saving brand.
pls mark brainliest
A rectangles length is three more than twice the width. The perimeter of the rectangle is 72 units. Write a let statement that can be used to find the length and width of the rectangle. Write an equation that can be used to find the length and width of the rectangle. Solve the equation. What is the length of the rectangle? What is the width of the rectangle?
Answer:
The length is 25 units and the width is 11 units
Step-by-step explanation:
Let the length of the rectangle be l.
Let the width of the rectangle be w.
We are given that the length of the rectangle is three times more than twice its width. This means that:
l = 3 + 2w
The perimeter of a triangle is given as:
P = 2(l + w)
This implies that:
P = 2[(3 + 2w) + w]
P = 2(3 + 3w)
We can use this to find the width of the rectangle and then the length.
The perimeter of the rectangle is 72 units.
Therefore:
72 = 2(3 + 3w)
72 = 6 + 6w
=> 6w = 72 - 6 = 66
w = 66 / 6 = 11 units
The length, l, is therefore:
l = 3 + 2(11) = 3 + 22 = 25 units
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
Soy bean type 1 yielded 125 bushels per acre last year at a research farm. This year, soy bean type 2, planted in the same location, yielded only 100 bushels per acre and there was a drought. The researchers do not know whether the difference is a result of the superiority of type 1 soy beans or the drought. What is this an example of?
Answer: confounding variables
Step-by-step explanation:
Confounding variables are outside influence that changes the effect of a dependent and independent variable. In this case the outside variable is the drought, which has changed the effects of the dependent and independent variables. This additional influence can be used to influence the outcome of an experimental result. Confounding variables can ruin an experiment and produce unwanted results.
Answer:
confounding
Step-by-step explanation:
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on.
Answer:
number of games played is 5
number of rides road 8
Step-by-step explanation:
8 x 2.25=18
5 x 1.25=6..25
18 + 6.25=24.25
The number of games Sydney played is 5 and the number of rides Sydney went on is 8.
What is linear equation?Linear equation is the type of equation with highest power 1.
Assume the number games Sydney played be x. So, the number of rides she went is x+3.
The cost of 1 game is $1.25. So, the cost of x games will be 1.25x.
The cost of 1 ride is $2.25. So, the cost of x+3 rides will be 2.25(x+3).
The total cost is $24.25. Formulate the linear equation and solve it.
1.25x+2.25(x+3)=24.25
1.25x+2.25x+6.75=24.25
3.5x=17.5
x=5
Substitute x=5 into x+3.
5+3=8
Thus, the number of games Sydney played is 5 and the number of rides Sydney went on is 8.
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What percent is 45 out of 72?
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5%
Step-by-step explanation:
Is means equals and out of means divide
Let P be the percent
P = 45 / 72
P =.625
Change to percent form by multiplying by 100
P = 62.5%
Simplify the equation-
x-(-2x+4)
HELP PLEASE
If anyone can help I’m panicking
Answer:
8.5
Step-by-step explanation:
Because it have more pumpkins
Answer:
thatvis gizmo he says hi. .. :/ srry
Anil receives a 7% commission on computer sales. Last month his computer sales totaled $12,500. How much did Anil earn last month?
Answer:
$875
Step-by-step explanation:
Total money * commission = money earned
12500 * .07 =
$875
You roll a number cube once.
What is the theoretical probability that you roll a 2 or 4? Enter your answer as a simplified fraction.Use/to write your fraction.
The probability that you roll a 2 or 4 is
Answer:
Step-by-step explanation:
Probability of a 2 = 1/6
Probability of a 4 = 1/6
probability of a 2 or 4 = 1/6 + 1/6 = 2/6 = 1/3
[tex]\text{We need to find the probability of rolling a 2 or 4}\\\\\text{Rolling a 2 or 4 is our intended outcome}\\\\\text{Therefore, it would be 2 outcomes in our probability}\\\\\text{We also know that there are a total of 6 sides in a number cube}\\\text{This represents our total amount of outcomes}\\\\\text{With the information above, we would write our probability as:}\frac{2}{6}\\\\\text{You can simplify it by dividing by 2}\\\\\boxed{\frac{1}{3}}[/tex]
Which inequality represents the phrase below?
a number greater than or equal to 71
A.
x is less than 71
B.
x is greater than 71
C.
x is greater then 71
D.
x is less than 71
Im sorry this does not make a lot of sense
BUT I REALLY NEED THIS
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
i had this one
please help me i really need to pass.
Which is the rate of change for the interval between 2
and 6 on the x-axis?
-3
-1/3
1/3
3
Answer: 2 box plots. The number line goes from 0 to 20. For East Side Middle School Debate Wins, the whiskers range from 5 to 14, and the box ranges from 10 to 12. A line divides the box at 11. For West Side Middle School Debate Wins, the whiskers range from 3 to 14, and the box ranges from 8 to 12. A line divides the box at 9.
Which of these inferences about the two debate teams are true? Check all that apply.
West Side is more consistent at winning.
East Side is more consistent at winning.
East Side typically wins more debates per year than West Side.
West Side typically wins more debates per year than East Side.
These graphs do not contain enough information from which to draw inferences.
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
