These are the factored forms of the given expressions are:
1) 13 + 39x³y²: There are no common factors, so it cannot be factored further.
2) 9a² - 12a + 4: (3a - 2)(3a - 2) = (3a - 2)²
3) x² - 4x - 2: (x - 2)(x - 2) = (x - 2)²
4) 64 - 25x²: (8 + 5x)(8 - 5x)
5) 6x² - 5x - 6: (2x - 3)(3x + 2)
6) 2x² - 2: 2(x - 1)(x + 1)
7) 10g²h² + 9gh² - g²h: This expression does not have a common factor, so it cannot be factored further.
8) 12x² + 6x + 9: (2x + 3)(6x + 3)
Here, we have,
Let's factor the given expressions:
1) 13 + 39x³y²:
There are no common factors, so it cannot be factored further.
2) 9a² - 12a + 4:
This is a quadratic expression. We can factor it using the quadratic formula or by factoring the trinomial. Factoring the trinomial, we get:
(3a - 2)(3a - 2) = (3a - 2)²
3) x² - 4x - 2:
This is a quadratic expression. We can factor it using the quadratic formula or by factoring the trinomial. Factoring the trinomial, we get:
(x - 2)(x - 2) = (x - 2)²
4) 64 - 25x²:
This is the difference of squares. It can be factored as:
(8 + 5x)(8 - 5x)
5) 6x² - 5x - 6:
This is a quadratic expression. We can factor it by using the quadratic formula or by factoring the trinomial. Factoring the trinomial, we get:
(2x - 3)(3x + 2)
6) 2x² - 2:
This is a quadratic expression. We can factor out a common factor of 2:
2(x² - 1)
This can be further factored as the difference of squares:
2(x - 1)(x + 1)
7) 10g²h² + 9gh² - g²h:
This expression does not have a common factor, so it cannot be factored further.
8) 12x² + 6x + 9:
This is a quadratic expression. We can factor it using the quadratic formula or by factoring the trinomial. Factoring the trinomial, we get:
(2x + 3)(6x + 3)
These are the factored forms of the given expressions.
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The equivalent expression to 3/4 of 2 1/5 is 3/4 × 11/5
The number of miles Manny hiked before he stopped to climb a lookout tower is 1 3/5 miles.The writing area of the poster given the length and width gives them 9/8 square yards and 1 1/8 square yards.How to multiply fraction?Caleb:
Length of rope = 2 1/5 yards
Length used for dog leash = 3/4 of 2 1/5
= 3/4 × 11/5
Manny:
Distance hiked = 6 2/5 miles
Distance he stopped to climb a lookout tower = 1/4 of 6 2/5 miles
Number of miles Manny hiked before he stopped to climb a lookout tower = 1/4 of 6 2/5 miles
= 1/4 × 6 2/5
= 1/4 × 32/5
= 32/20
= 1 12/20
= 1 3/5 miles
Dante and friends:
Length of the poster = 1 1/2 yards
Width of the poster = 3/4 yard
Area of the poster = Length × width
= 1 1/2 yards × 3/4 yard
= 3/2 × 3/4
= 9/8
= 1 1/8 square yards
Therefore, the area of the poster can be calculated by multiplying length by width and written in square units.
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1. The expression to illustrate the fact that Caleb has 2 1/5 yards and then used 3/4 of the rope is B. 3/4 × 11/5.
2. The number of miles that Manny hiked before he stopped is D. 1 3/5 miles.
3. The fraction of the writing area is D. 1 1/8 square yards.
How to compute the fractions?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Caleb has 2 1/5 yards and then used 3/4 of the rope. The expression to illustrate this will be:
= 3/4 × 2 1/5
= 3/4 × 11 / 5
The number of miles that Manny hiked before he stopped is;
= 1 /4 × 6 2/5
= 1/4 × 32/5
= 32 / 20
= 8 / 5
= 1 3/5 miles.
The fraction of the writing area is:
= 1 1/2 × 3/4
= 3/2 × 3/4
= 9/8
= 1 1/8 square yards.
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When can a correlation coefficient based on an observational study be used to support a claim of cause and effect? Never When the correlation coefficient is close to -1 or +1. When the correlation coefficient is equal to -1 or +1. When the scatterplot of the data has little vertical variation.
Never. Correlation does not imply causation. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect.
Correlation is a measure of the relationship between two variables. It is used to measure how two variables move together. A correlation coefficient based on an observational study can only be used to suggest a relationship between two variables, but it cannot be used to support a claim of cause and effect. This is because correlation does not imply causation. A correlation coefficient close to -1 or +1 is an indication of a strong linear relationship between the two variables, but this does not necessarily imply a cause-and-effect relationship. Additionally, even if the scatterplot of the data has little vertical variation, this does not guarantee a cause-and-effect relationship. In summary, correlation coefficients based on observational studies can never be used to support a claim of cause and effect.
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can you help me with (-4,-9) and (-6,9)
The Following Screenshot Image is where you would put this on the Graph.
The Slope for this question is:
m = 3
What is the statistical procedure that is used to determine whether a significant difference exists between any numbers of group means?
A)
t-test
B)
ANOVA
C)
Correlation coefficient
D)
Mann Whitney U test
B) ANOVA (Analysis of Variance) is the statistical procedure that is used to determine whether a significant difference exists between any numbers of group means.
Analysis of Variance (ANOVA) is the statistical procedure used to determine whether a significant difference exists between any numbers of group means.
It is commonly used when comparing means across multiple groups or conditions to assess whether there is a statistically significant difference between them. ANOVA analyzes the variance between groups and within groups to make inference about the population means.
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Practice Problems
0.22t
1. If left unchecked, a new strain of flu virus can spread from a single person to others very
quickly. The number of people affected can be modeled using the formula P(t) = e
where represents the number of days the virus is allowed to spread unchecked. Estimate
the number of people infected with the virus after 30 days and after 60 days.
An estimated 50118 peοple will be infected after 60 days
The given fοrmula fοr mοdeling the number οf peοple infected with the virus is:
\(P(t) = e^{0.22t\)
Tο estimate the number οf peοple infected after 30 days, substitute t = 30 intο the fοrmula:
\(P(30) = e^{(0.22*30)} = e^{6.6 = 787.9\)
Therefοre, an estimated 788 peοple will be infected after 30 days.
Tο estimate the number οf peοple infected after 60 days, substitute t = 60 intο the fοrmula:
\(P(60) = e^{(0.22*60)} = e^{13.2 = 50117.9\)
Therefοre, an estimated 50118 peοple will be infected after 60 days.
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Sheila wants to buy a pair of shoes that is 65% off. The original price
is $164.
What is amount of discount (nearest hundredth)?
Please hurry and show your work, please
a paint can is 12 in tall and has a diameter of 8 in Which is closest to the total surface of the paint can
A. 200 Sq
B. 96 Sq
C. 402 Sq
D. 301 Sq
Answer:
The answer is 402.
HELP IT IS URGENT IF I GET THIS WRONG I WILL FAIL HIGHSCHOOL
Answer:
1. 60 seconds.
2. 9 minutes.
3. 3 minutes, 180 seconds.
4. 300 seconds, 5/60 horas.
WILL GIVE BRAINLIEST PLS ANSWER FAST IM IN HUGE RUSH
What is the density of a metal with a mass of 450 grams and a volume of 5 cubic centimeters?
A. 50 g/cm cubed
B. 90 g/cm cubed
C. 250 g/cm cubed
D. 225 g/cm cubed
Answer: I’m not sure if I’m right, but I just divided 450 by 5 and got 90! I tried using the calculators for this sort of problems but none were any help. I think B is the one to go with!
Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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Which value of x makes the inequality true?
A. 1.6
B. √4
C. 0.09
D. 1/5
The answer is A.
AKA 1.6
Please plz help angles inside circles. and segments
Answer:
the third one
Step-by-step explanation:
Answer:
The 3rd
Step-by-step explanation:
Suppose a sample of 1762 floppy disk is drawn. Of these disks, 70 were defective. Using the data estimate the proportion of disks which are defective. Enter your answer as a fraction or decimal number rounded to three decimal places.
In order to find the proportion of disks that are defective, we can divide the number of defective disks by the total number of disks in the sample:
\(p=\frac{70}{1762}=\frac{35}{881}\)Therefore the proportion is 35/881.
Hello there, I need help with Angles.
Find the value of X please help me
Answer: x=6
Step-by-step explanation:
110= 19x-4
110+ 4= 114
114÷ 19= 6
Answer:
6
Step-by-step explanation:
Because the bottom left is 110 the top right must also be, and 6*19-4=110
7th grade! Math commissions
Answer:
Trevor, Julio, Chantal, Vern, Danica, Andre, August, Maximus
Step-by-step explanation:
$964
$1,010
$1,165
$1,286
$1,425
$1,430
$1,530
$1,575
Answer:
$964
$1,010
$1,165
$1,286
$1,425
$1,430
$1,530
$1,575
Step-by-step explanation:
What is the vertex form of the quadratic function that has a vertex at (5, 4)
and goes through the point (6, 1)?
O A. y= (x - 5)2 + 4
B. y=-3(x - 5)2 + 4
C. y = 3(x - 5)2 + 4
O D. y = 5(x - 5)2 - 3
Please help me with this #9
\(\text{First term,} ~ a = 5\\\\\text{Common ratio,}~ r = \dfrac{10}5 = 2\\\\\text{Nth term} = ar^{n-1} = 5\cdot2^{n-1}\\\\\text{4th term } = 5\cdot 2^{4-1} = 5 \cdot 2^3 = 40\\\\\text{5th term} = 5 \cdot 2^{5-1} = 5 \cdot 2^4 = 80\\\\\text{Hence the next two terms are 40 and 80.}\)
. An artist's studio has the shape shown below. What
is the area of the entire floor space?
20 ft
12 ft
6 ft
6 ft
14 ft
Answer: 120960 ft.
Step-by-step explanation:
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes will he need?.
what value is 10 times the value of 70
Answer:
700
Step-by-step explanation:
700
10 x 70 = 700
hope this helps! :)
Hi, thanks to the person that is answering all my questions! the reason im doing this is my teacher said if I finish all my moby max she gonna replace all my low test grades
Answer:
não consigui entender
Select the correct answer what are the solutions to this quadratic equation 4x^2-10=10-20x
Answer:
x1 = 5-3squareroot 5/2 x2= -5+3 squareroot 5 / 2
Step-by-step explanation:
find the value of x in the triangle at the right
Answer: X = 72
Step-by-step explanation:
All triangles are 180 degrees, subtracting 36 from it
144 = 2x
divide 144 by 2
x = 72
Emisha earned $30 for 3 1/3 hours of work. How much does she get paid per hour?
Answer:
$9 Per Hour
Step-by-step explanation: If we split 9 into 1/3 we can get 3 so if we say 9x3 is 27 then add the 3 we get $30
In the graph above, which vertical line (V) and horizontal line (H) can be used to graph point C? Question 6 options: A) V: y = –3; H: x = –3 B) V: x = 3; H: y = 3 C) V: x = –3; H: y = 3 D) V: x = –3; H: y = –3
In a coordinate plane, a vertical line is a straight, upward- and downward-pointing line that is perpendicular to the y-axis. The point C is V: x = 3.
What is vertical line?In math, computing, and typography, the vertical bar, or |, is a glyph that has a variety of purposes. It goes by a variety of names, many of which have associations with specific connotations, including Sheffer stroke, pipe, bar, or, and vary. When we draw a line from top to bottom, it is called a vertical line. All vertical lines are parallel to the y-axis, often known as the vertical axis on the coordinate plane.The difference between a horizontal and vertical line is that a horizontal line is drawn from left to right, while a vertical line is drawn from top to bottom. Lines parallel to the x-axis and the y-axis are referred to as horizontal and vertical, respectively, in coordinate geometry.To learn more about vertical line refer to:
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An equilateral triangle has height of 13. The perimeter is 321 feet. What is the area of the triangle?
Answer:
4957.56
Step-by-step explanation:
Call the 3 sides of the triangle as a,b,c.
We have : a + b + c = 321
Since it's an equilateral triangle, a=b=c
=> a = b = c = 321/3 = 107ft.
To calculate an area of an equilateral triangle, we can use the formula :
\(\sqrt{3}\\\)/4 x \(a^{2}\)
=> A = \(\sqrt{3}\\\)/4 x \(107^{2}\) = approx. 4957.56
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
Answer:
C. y=2x-48
Step-by-step explanation:
A. y=48x−2
B. y=48x+2
C. y=2x−48
D. y=2x+48
Profit per hotdog=$2
Quantity=x
Cost of hotdog, buns and mustard=$48
Find the equation profit earned by the hotdog stand for x hot dog sold
Total Profit(y)=(units profits*quantity)-cost
=$2*x-$48
y=2x-48
Answer:
C. y=2x−48
Step-by-step explanation:
did it on edge 2020
carlos knows that 1/20=0.05. he can use a table of values to find a pattern that will help him find the decimal forms of 2/20, 3/20/, 4/20, and 5/20.
The decimal form of the given terms are
2/20 = 0.1
3/20 = 0.15
4/20 = 0.2
5/20 = 0.25
Carlos knows that the decimal form of 1/20= 0.05
The decimal form of the first term is
2/20=2×(1/20)
Substitute the value of 1/20
=2×0.05
=0.1
The decimal form of the next term is
3/20= 3×(1/20)
= 3×0.05
= 0.15
The decimal form of the next term is
4/20= 4×(1/20)
=4×0.05
=0.2
The decimal form of the next term is
5/20= 5×(1/20)
= 5×0.05
=0.25
Hence, the decimal form of the given terms are
2/20 = 0.1
3/20 = 0.15
4/20 = 0.2
5/20 = 0.25
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