Which model represents the factors of 4x2 – 9? An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 negative. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 negative x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 1 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 negative. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 + x. The last 3 rows are the same: 2 negative x, 3 negative. An algebra tile configuration. 5 tiles are in the Factor 1 spot: 2 +x , 3 +. 5 tiles are in the Factor 2 spot: 2 +x, 3 +. 25 tiles are in the Product spot in 5 columns with 5 rows. First row: 2 + x squared, 3 + x. Second row: 2 + x squared, 3 negative x. The last 3 rows are the same: 1 + x, 2 negative x, 3 +.
An algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +, +, +, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9.
How to factor a polynomial?In order to determine a solution for the given polynomial, we would factor it by using this quadratic form:
a² - b² = (a + b)(a - b)
4x² - 9 = 2x² - 3²
2x² - 3² = (2x + 3)(2x - 3)
Based on the calculations above, an algebra tile configuration with 5 tiles in the Factor 1 spot: +x², +x², +x, +x, +x, and in the Factor 2 spot: +x², +x², +x, +x, +x, represents the factors of 4x² - 9 as shown in the image attached below.
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If you need to put 28.93 gallons of ice cream into just cups, how many cups can you make out of these? Round to a whole number.
Answer:
16 cups = 1 gallon
16( 28.93) = 462.88
Therefore, there are 462 cups of ice cream.
Step-by-step explanation:
Answer:
463 cups
Step-by-step explanation:
16 cups in one gallon.
1 | 28.93
—————- = 462.88 cups
| 16
The ratio of a right angle to the total degrees in a circle is
Select one:
a. 1:2
b. 1:4
c. 1:3
d. 1:5
The ratio of a right angle to the total degrees in a circle is 90:360, which simplifies to a ratio of 1:4.
The ratio of a right angle to the total degrees in a circle can be found by comparing the degree measures of each. A right angle is 90 degrees, and a full circle is 360 degrees.
Therefore, the ratio of a right angle to the total degrees in a circle is 90:360.
When simplifying this ratio, we divide both terms by 90, the degree measure of the right angle, which gives us 1:4.
Hence, the ratio is simplified to 1:4.
Natalie can type 54 words per minute when transcribing an audio recording. Natalie needs to transcribe an audio recording with 7,938 words.
How many minutes will it take Natalie to transcribe the recording?
Answer:
147 mins
Step-by-step explanation:
7938/54
Answer:
147 minutes (2 hours, 27 minutes)
Step-by-step explanation:
7938/54
A cereal company is putting 111 of 444 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1/41/41, slash, 4. Vera wonders how many boxes she should expect to buy to get all 444 prizes. She carried out 363636 trials of a simulation and her results are shown below. Each dot represents how many boxes it took to get all 444 prizes in that trial.
Answer:
(27/36) = (3/4) = 0.75
Step-by-step explanation:
The complete question is attached to this solution.
P(9 or fewer boxes) = P(x ≤ 9)
Since Vera carried out the simulation/experiment, this probability will be read from the results of her simulation (the dotplot).
Note that the dots on the numbers of the dotplot represent the number of boxes it took Vera to get all the prizes.
So, the probability of getting all the prizes in 9 or fewer boxes will be just counting the number of times in the simulation where she got the 4 prizes in 9 boxes or fewer.
This starts from the least number on the dotplot, 4 all the way to 9.
Total number of simulations = 36
P(x ≤ 9) = P(x=4) + P(x=5) + P(x=6) + P(x=7) + P(x=8) + P(x=9)
= (4/36) + (6/36) + (3/36) + (4/36) + (4/36) + (6/36) = (27/36)
Hope this Helps!!!!
This question is about the Coupon Collector's problem in probability theory. The expected number of cereal boxes one would need to buy to collect all 444 prizes can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n).
Explanation:This problem is essentially a mathematical statistics problem, more specifically, it involves the concept of probability and expected value. In this case, the company is inserting a prize into each box of cereal. There are 444 unique prizes, and the probability of getting any specific prize is 1 out of 444. Therefore, the number of boxes one would need to buy to collect all prizes follows what is known as the Coupon Collector's problem in probability theory.
The expected number of boxes one would need to buy can be calculated using the formula for the expected value of the coupon collector's problem: E[X] = n*(1 + 1/2 + 1/3 + ... + 1/n), where n is the number of unique prizes.
Plugging n = 444 into the formula gives us: E[X] = 444*(1 + 1/2 + 1/3 + ... + 1/444). For a large number of trials, this value will closely approximate the average number of boxes one would need to buy to collect all 444 prizes.
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If 75 square feet of
aluminum foil costs
$3.99, what is the cost
per square foot?
Answer:
$0.05
Step-by-step explanation:
Solve the following system of equations.
{y= 7x + 11
{y= −3x + 1
Enter your answer as an ordered pair using parentheses and a comma,
like this: (42, 53)
Answer:
I don't know if I'mwrong right or worng because I got the same answer -1,4
Step-by-step explanation:
The solution of the system as an ordered pair is (-1, 4).
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A system of equations.
y = 7x + 11 {equation 1}
y = −3x + 1 {equation 2}
Substituting the value of y from the equation 1 to equation 2,
7x + 11 = -3x + 1
10x = -10
x = -1
And y = 4
Therefore, the solution is (-1, 4).
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Clint found the area of the parallelogram shown. Which statement explains the error Clint made?
A parallelogram with a base of 11 centimeters, height of 4 centimeters, and side length of 5 centimeters.
Clint’s Work:
A = (b) (h). A = (11) (5). A = 55 centimeters squared.
a.Clint used the wrong units. He should have used cm, as that is what was in the diagram.
b.Clint used the wrong formula. He should have used A = one-half b h.
c.Clint did not use all three numbers in the diagram. He should have multiplied them all.
d.Clint did not use a height perpendicular to the base. He should have used 4 for the height.
Answer:
D
Step-by-step explanation:
like it said, he used 5 instead of the actual height which is 4
Answer:
D
Step-by-step explanation:
The area of a parallelogram is denoted by: [tex]A=bh[/tex] , where b is the base and h is the height that is perpendicular to the base. Depending on what kind of parallelogram it is (square, rectangle, rhombus, regular parallelogram), that height could be the side length, but usually it is not; it is only the side length in special cases, like a square.
Here, we are given that the base is 11 and that the height is 4. Since the problem gives us two different values for the height versus the side length, we know that for this parallelogram, the height is not the same as the side length. Thus, we must use 4 for the height and 11 for the base in the area formula.
Therefore, the only answer that correctly points out this mistake is D.
Hope this helps!
The frequency table represents the job status of a number of high school students.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150.
Which shows the conditional relative frequency table by column?
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0.
To create the conditional relative frequency table, divide each entry in the original frequency table by the corresponding entry in the 'total' column.
Explanation:The conditional relative frequency table can be created by dividing each entry in the original frequency table by the corresponding entry in the 'total' column. The first column in the conditional relative frequency table will still have the labels 'currently employed', 'not currently employed', and 'total'. The second column will be labeled 'Looking for a job' with entries 0.12, 0.38, 0.33. The third column will be labeled 'Not looking for a job' with entries 0.7, 0.65, 1.0. And the fourth column will remain labeled 'total' with entries 0.27, 0.73, 1.0.
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One-half of the dogs in each shelter are between which weights?
O between 8 and 30 pounds in shelter A; between 10 and 28 pounds in shelter B
O between 8 and 17 pounds in shelter A; between 10 and 16 pounds in shelter B
between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B
O between 28 and 30 pounds in shelter A; between 20 and 28 pounds in shelter B
Final answer:
The correct statement is B, which describes the weight loss range for the middle 50 percent of the members, indicating an interquartile range scenario.
Explanation:
The question you've asked seems to pertain to data interpretation and understanding statistical statements regarding weight loss in a specific group of members. This seems to be a statistical analysis question which falls under the subject of Mathematics. Specifically, this question is likely related to the topics of median, quartiles, and potentially, data distribution covered in high school level mathematics.
Based on the provided statements, the correct assertion appears to be B. The middle 50 percent of the members lost from two to 8.5 lbs. This statement indicates that the middle 50 percent is referring to the interquartile range in statistical terminology, which is a measure of statistical dispersion being the difference between the 75th and 25th percentiles. Choices A and C don't provide enough information to confirm their accuracy without additional context, and choice D cannot be correct without both A and C being correct.
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5) The first step in this problem is to figure out the amount of total spins. To do so, add up all of the numbers in the column "Frequency".
18 + 15 + 27 + 10 = 70.
Now, look at the amount of times the spinner landed on green. This is 27 times. So, the ratio of green spins to total spins is 27:70, or 27 out of 70 spins. Converting this to a fraction, we get the final answer, 27/70.
6) To solve this problem, we have to first do the same steps as the previous problem, but with the color red. There are 70 total spins, and 18 red spins. Therefore, the ratio is 18:70. However, this problem wants the total number of spins to be 350. In other words, 70 needs to become 350. To do this, multiply each side of the ratio by 5. The ratio becomes 90:350. Using this ratio, we can determine that a solid prediction is 90 red spins out of 350 total spins.
Answer:
5) 27/70
6) 90
Step-by-step explanation:
5)
What is the probability of spinning green?
Here are all of the values in the table:
Red = 18
Yellow = 15
Green = 27
Purple = 10
Add them together
= 70
Write green / total as a fraction
27/70
6)
Red = 18
Yellow = 15
Green = 27
Purple = 10
Write red / total (70) as a fraction
18/70
Multiply both the numerator and denominator by 5 to get a denominator of 350
18 * 5 / 70 * 5
90/350
Remove the denominator to find how many times he chose red out of 350 trials
90
Hope this helps :)
What is tan 11 pie/6
Answer:
5.75
Step-by-step explanation:
Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...
Answer:
- 515
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 15 and d = - 35 - (- 15) = - 35 + 15 = - 20, thus
[tex]a_{26}[/tex] = - 15 + (25 × - 20) = - 15 - 500 = - 515
Answer:
-515
Step-by-step explanation:
In this example the first value is −15 and every value afterwards is 20 less.After substituting these values to above formula, we obtain: All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515
Solve the inequality n + 20 < -42, and write the solution in interval notation.
Answer:
(-∞, -62)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] denote inclusion, (Parenthesis) denote exclusionStep-by-step explanation:
Step 1: Define
n + 20 < -42
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 20 on both sides: n < -62∴ Any number n smaller than -62 would work as a solution to the inequality. Our solution set in interval notation would be (-∞, -62).
How do you write -5.16 as a fraction
Answer:
You could write -5.16 as -5 4/25
Answer:
-5.16 = -129 /25 OR -5 and 4 /25
Step-by-step explanation:
Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.
The two cones below have the same radius, height, and
volume.
Are the two cones congruent? Explain and include
details to support your clain
I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:
One cone is oblique.
The cones have different slant heights.
The lengths of all corresponding edges are not equal.
Congruent cones must have congruent corresponding measures, including slant height.
Hope this helps!
The two cones are congruent because they have the same radius, height, and volume - all factors that determine a cone's size and shape.
Explanation:Yes, the two cones are congruent. In mathematics, two shapes are considered congruent when they have the exact same size and shape. When it comes to cones, this means that they possess the same radius and height. Since the question states that both the radius and height of the two cones are the same, we can deduce that the cones are congruent. The volume of a cone is determined by its radius and height (V=1/3πr²h) and since this is also the same for the two cones, it backs up the claim of congruency.
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Find the value of the angles
Answer:
Angle 1 = 115
Angle 2 = 15
Angle 3 = 50
Please help ..... Also I would like to thank anyone who helps me with any question on here I couldn’t get my homework done with out you
Answer:
yes
Step-by-step explanation:
-8x -2y < 6
Substitute the point in for x and y
-8(3) - 2(2) <6
-24 - 4 <6
-28 <6
This is true so the point is a solution
What do you get when you subtract 9 from b?
When you subtract 9 from the variable "b," you get the expression:
b - 9
When you subtract 9 from the variable "b," you are performing a basic arithmetic operation in algebra. This subtraction results in a new value, which is b decreased by 9 units. In mathematical terms, it can be represented as:
b - 9
This expression represents the concept of taking a quantity, "b," and reducing it by 9. The result will depend on the specific value of "b." For example, if b = 15, then b - 9 would equal 6. If b = 20, then b - 9 would equal 11. In essence, subtracting 9 from "b" simply means subtracting 9 from the value represented by "b," whatever that value may be.
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Does -8 have a greater absolute value than 6
Answer:
yes.
Step-by-step explanation:
because -8 absolute value is 8
Answer:
yes beacuse -8 have a greater absolute value than 6
What are the solutions to x2 + 4x - 12 = 0?
x= -2 or x = 6
x= 3 or x= -4
x= 2 or x = -6
x= 4 or x = -3
Answer:
x= -6 x=2
Step-by-step explanation:
x^2 + 4x - 12 = 0
Factor, what 2 terms multiply to -12 and add to 4
6* -2 = -12
6+-2 = 4
( x+6) (x-2) =0
Using the zero product property
x+6 =0 x-2=0
x= -6 x=2
Answer:
option C will be the correct answer
x= 2 or x = -6
Step-by-step explanation:
[tex]x {}^{2} + 4x - 12 = 0? \\ {x}^{2} + 6x - 2x - 12 = 0 \\ x(x + 6) - 2(x + 6) = 0 \\ (x - 2)(x + 6) = 0 \\ x - 2 = 0 \: \: \: \: or \: \: \: \: x + 6 = 0 \\ x = 2 \: \: \: \: or \: \: \: \: x = - 6[/tex]
65=15+x^2 solve for x
Answer:
±5sqrt(2) =x
Step-by-step explanation:
65=15+x^2
Subtract 15 from each side
65-15=15-15+x^2
50 = x^2
Take the square root of each side
±sqrt(50) = sqrt(x^2)
±sqrt(25*2) =x
±sqrt(25)sqrt(2) =x
±5sqrt(2) =x
what is the area of the shaded region?
Answer:
125.6 cm²
Step-by-step explanation:
Area of circle = πr²
Area of shaded region = Area of outer circle - area of the inner circle
= 3.14*7*7 - [3.14*3*3]
= 153.86 - 28.26
= 125.6 cm²
OR
= 3.14 * 7 * 7 - [3.14*3.*3]
= 3.14* [7² - 3²]
= 3.14* (7+3)(7-3)
= 3.14* 10 * 4
= 125.6 cm²
What is the measure of angle b in degrees
Answer:
B=119
Step-by-step explanation:
C=180-112=68
68+51=119
A=180-119=61
180-61=119
B=119
Answer:
∠ B = 119°
Step-by-step explanation:
∠ C and 112° are adjacent angles and supplementary, thus
∠ C = 180° - 112° = 68°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ B is an exterior angle of the triangle, thus
∠ B = 51° + ∠ C = 51° + 68° = 119°
In Vincent's classroom there are red chairs, yellow chairs, and blue chairs. There are 6 red
chairs. There are 3 times as many yellow chairs as red chairs, and there are 2 fewer blue
chairs than yellow chairs. How many chairs are there in Vincent's classroom?
Answer:
40 chairs
there are 6 red chairs
18 yellow chairs
and 16 blue chairs
added together that is 40
Step-by-step explanation:
200,80,32... find the 7th term
Answer:
Step-by-step explanation:
hello :
geometric sequence whel the common ratio is : 32/80=80/200 = 0.4
200 ,80,32,12.8 , 5.12 , 2.048 , 0.8192
the 7th term is : 0.8192
simplify fully 9m/12m
Answer:
9m/12m = 3/4
Step-by-step explanation:
The fraction obtained after the simplification will be 3/4.
What exactly is simplification?Simplifying is making something easier to do or comprehend, as well as making something less difficult.
[tex]=\rm \frac{9m}{12m} \\\\ = \frac{3}{4}[/tex]
The fraction obtained after the simplification will be 3/4.
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How many square feet of outdoor carpet will we need for this hole ?
Answer:
[tex]34.5^2[/tex]
Step-by-step explanation:
First figure out the rectangular part 3 x 8 = 24
Next find out the triangular part. Since we know that one half of the triangular part is 3 by 4, and a triangle is half a rectangle, we can figure out that 3 x 4 = 12 and 12/2 = 6, and do the same for the 3 x 3 triangle 3 x 3 =9 and 9/2 = 4.5
Now just add it all together: 24 + 6 + 4.5 = 34.5
A tent company makes one type of tent that is shaped like a triangular prism. The approximate dimensions are 5ft, 6ft, 9ft and 5.5ft. Based on these dimensions, how much fabric is needed to make one tent, including floor.
Given:
The base of the triangle = 6 ft
The height of the triangle = 5 ft
The other two side of the triangle = 5.5 ft and 5.5 ft
The height of the prism = 9 ft
To find the measurement of the fabric to make the tent.
We need to find the surface area of the triangular prism.
Formula
The surface area of the triangular prism is
[tex]SA = bh+(a+b+c)H[/tex]
where, b be the base of the triangle
h be the height of the triangle
a and c be other two sides of the triangle
H be the height of the prism
Now,
Putting,
b = 6, h = 5, a = 5.5, c = 5.5 and H = 9 we get,
[tex]SA = (5)(6)+(6+5.5+5.5)(9)[/tex] sq ft
or, [tex]SA = 30+153[/tex] sq ft
or, [tex]SA = 183[/tex] sq ft
Hence,
Based on the given dimension 183 sq ft fabric is needed to make the tent.
Find the value of x.
Answer:
11
Step-by-step explanation:
7x + 2 + 4x = 90
11x + 2 = 90
11x = 88
x = 11