Glenn is shopping for a new laptop. he found the one he wants at two stores, Tech Pro and Office Zone. The computer is listed for $659 at TechPro and $709 at Office Zone. TechPro is having a 15% off sale while Office Zone is having a 20% off sale. Which store has the better sale price, and how much will he save?
Answers
Answer:
Glenn needs to stop shopping for laptops at retail stores and just use ebay
Step-by-step explanation:
it's cheaper
Related Questions
Please help, I hate Algebra:
"Use the information given to answer the questions.
The number of cells in an organism grows by quadrupling (multiplying by 4) their total each day. When the scientist initially put them in the Petri dish, there were 100 cells. The scientist just took algebra, so he easily developed an equation to model the situation: C(t) = 100(4^t). C is the number of cells and t is the number of days.
a) Find C(O). Explain what your answer means. Explain what "t=0" means in this problem. b) How many cells would he have after two, three, and ten days?
c) What would the new equation be if the scientist's cells doubled their population each day instead of quadrupled?
d) What would the new equation be if the scientist started with 300 cells in the dish instead of 100?
e) in general, the function C(t) = a(b^t) for some values of a and b. What do "a" and "b" represent in terms of a problem like this?"
Answers
The population growth (exponential) formula, C(t) = 100·4^t, indicates;
a) C(0) = 100
C(0) = 100 indicates that 100 cells were put in the Petri dish initially by the scientist
b) C(2) = 1600 cells, C(3) = 6400 cells, C(10) = 1.67 × 10⁷ cells
c) C(t) = 100·(2^t)
d) C(t) = 300·(4^t)
e) a = The initial number of cells placed in the Petri dish
b = The growth factor
What is an exponential function?An exponential function is as function of the form, f(x) = aˣ
Where;
a = The base of the exponential function, is a positive constant number
x = The input or independent variable = The exponent.
The function for the population is; C(t) = 100·4^t, therefore;
C(0) = 100 × 4^0 = 100
C(0) = 100 which indicates that at time t = 0 (the start of the observation), the number of cells is 100
b) The number of cells are;
After 2 days, C(2) = 100 × 4² = 1600 cells
After 3 days, C(3) = 100 × 4³ = 6400 cells
After 10 days, C(2) = 100 × 4¹⁰ = 1.67 × 10⁷ cells
c) The new equation if the scientist's cells doubled their population each day instead of quadrupled is therefore;
C(t) = 100 × 2^tC(t) = The number of cells after t days
d) The new equation if the scientist starts with 300 cells instead of 100 cells, can be obtained by plugging the value of 300 for 100 in the original equation as follows;
C(t) = 300 × 4^tC(t) = The number of cells after t number of days
e) The general function; C(t) = a·(b^t) is an exponential function
The parts of an exponential function indicates;
a = The initial or starting value
b = The rate of increase per day, which is also known as the growth factor.
With regards to the problem, a = 100 and b = 4
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A friend comes up to you and offers you a free ticket to the Cubs game one night, and you decide to attend the game. The game takes five hours and costs you $25 for transportation. If you had not attended the game, you would have worked at your part-time job for $12 an hour. What is the cost to you of attending the game
Answers
The cost to you of attending the game is $85.
Attending the Cubs game involves an opportunity cost, which is the value of the best alternative forgone when making a decision. In this case, your opportunity cost is the income you would have earned at your part-time job if you had not attended the game.
The game takes five hours, and you would have worked for $12 an hour at your part-time job.
Therefore, the lost income from not working is:
5 hours x $12 = $60.
Additionally, you spent $25 on transportation to attend the game.
To find the total cost of attending the game, you need to consider both the opportunity cost and the direct cost of transportation.
The total cost is:
$60 (lost income) + $25 (transportation) = $85.
In conclusion, the cost to you of attending the game is $85, which includes the $60 opportunity cost of not working at your part-time job and the $25 spent on transportation.
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What is 50=5/9(F-32)
Answers
Answer: F=122
Step-by-step explanation:
Answer:
f= 122
Step-by-step explanation:
Your anova is statistically significant. How will you determine which groups are different?.
Answers
If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).
What is the ANOVA test?The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.
Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.
Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.
Complete question:
Your ANOVA is statistically significant. How will you determine which groups are different?
Use planned or unplanned comparisons.
Look at what the means in each group are.
Conduct Levene's test.
None of the above
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Find the slope of the line that passes through the origin and the point (-2,5).
Answers
Slope -2/5.
Answer:
Solution given:
(x1,y1)=(0,0)
(x2,y2)=(-2,5)
now
slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5
Sin Cos Tan
Geometry
Answers
The trigonometric ratios for each triangles are:
Triangle 1:Cos A = 4/5; Sin A = 3/5; Tan A = 3/4
Cos C = 3/5; sin C = 4/5; Tan C = 4/3Triangle 2:
Cos A = 3/5; Sin A = 4/5; tan A = 4/3
Cos C = 4/5; Sin A = 3/5; tan C = 3/4Triangle 3:
cos A = 15/17; sin A = 8/17; tan A = 8/15
cos C = 8/17; sin C = 15/17; tan C = 15/8
Please note that all angles B are the right angle, then:
cos B = 1; sin B = 0; tan B = -
The trigonometric ratio of sin, cos, tan, can be formulated as:
(please refer to the attached triangle below for reference)
cos A = side adjacent to A / Hypotenuse
Cos A = b/c
Sin A = side opposite to A / Hypotenuse
Sin A = a/b
Tan A = Side opposite to A / Side adjacent to A
Tan A = a/b
From these formulas, we can find that:
Triangle 1
Cos A = 40/50 = 4/5
Sin A = 30/50 = 3/5
Tan A = 30/40 = 3/4
Cos C = 30/50 = 3/5
Sin C = 40/50 = 4/5
Tan C = 40/30 = 4/3
Triangle 2
Cos A = 27/45 = 3/5
Sin A = 36/45 = 4/5
Tan A = 36/27 = 4/3
Cos C = 36/45 = 4/5
Sin C = 27/45 = 3/5
Tan C= 27/36 = 3/4
Triangle 3
Cos A = 15/17
Sin A = 8/15
Tan A = 8/15
Cos C = 8/17
Sin C = 15/17
Tan C = 15/8
Please note that all angle B on the three triangles are all a right angle, then:
Cos B = 1
Sin B = 0
Tan B = -
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A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
Answers
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answers
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?
Answers
Answer: y = -3/5x - 6
Step-by-step explanation:
There are a few equations that can be used for this, but the simplest one would be y = mx + b
We are given:
y = -3
m = -3/5 (slope)
x = -5
b = ?
Our equation is this, we are solving for b
==> -3 = -3/5 ( -5) + b
==> -3 = -3/5 ( -5) + b ( multiply the brackets)
==> -3 = 3 + b ( subtract 3 to both sides)
==> -6 = b
Now we can make the desired equation in slope intercept form;
y = -3/5x - 6
Hope this helped! Have a great day :D
Kylie is preparing for the science fair that will take place in six weeks. She has three plants that she has grown from seeds, which she considers to have height 0 centimeters, and she is measuring their heights as she applies different treatments to each. The second plant is receiving Plant Food B. After 3 weeks, it is 10 centimeters tall. If it continues growing at this rate, how tall will it be after 6 weeks?
Answers
The height of plant B growing at a rate of 3.33 centimeters per week should have a height of 19.98 cms.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
First we need two points (x, y) to obtain the slope.
Assuming height to be 'y' and weeks to be 'x'.
Therefore, (0, 0) and (3, 10) are the two points.
Slope(m) = (10 0)/(3 - 0).
Slope(m) = 10/3.
Slope(m) = 3.33
Now, To obtain the y-intercept.
10 = 3(3.33) + b
b = 0.01 Or neglegible.
Therefore y = 3.3x.
Now, In the 6th week, the height of plant B will be,
y = 3.33(6).
y = 19.98 or 20 cm.
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quality and levels of vitamin-D in a random sample from bodies of 675 people who died in good health. 8.5% of the 82 bodies with low vitamin-D levels (below 50 nmol/L) had weak bones. Comparatively, 1% of the 593 bodies with regular vitamin-D levels had weak bones. Is a normal model a good fit for the sampling distribution?
Answers
A normal model may not be the best fit for the sampling distribution in this study of the quality and levels of vitamin-D in a random sample of 675 people who died in good health.
The data provided indicates that 8.5% of the 82 bodies with low vitamin-D levels (below 50 nmol/L) had weak bones, while only 1% of the 593 bodies with regular vitamin-D levels had weak bones.
The normal model is most appropriate when dealing with continuous data that is symmetric and bell-shaped. However, the data in this study consists of categorical variables (low or regular vitamin-D levels) and proportions of individuals with weak bones in each category.
In this case, a more appropriate method for analyzing the data would be using a contingency table to examine the relationship between vitamin-D levels and bone health. From the contingency table, a chi-square test of independence can be performed to determine whether there is a significant association between the two variables.
In summary, the normal model is not the best fit for the sampling distribution in this study due to the nature of the data. Instead, a contingency table and chi-square test of independence would provide a more accurate analysis of the relationship between vitamin-D levels and bone health.
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Another measure of central tendency is the trimmed mean. It is computed by determining the mean of a data set after deleting the smallest and largest observed values. Compute the trimmed mean for the data given in the accompanying table. Is the trimmed mean resistant to changes in the extreme values in the given data?
0.81 0.88 0.82 0.90 0.84 0.84
0.91 0.94 0.86 0.86 0.88 0.87
0.89 0.91 0.86 0.87 0.88
0.83 0.96 0.87 0.93 0.85
0.91 0.91 0.86 0.89 0.84
0.88 0.88 0.89 0.76 0.83
0.90 0.88 0.84 0.93 0.90
0.88 0.92 0.85 0.84 0.86
The trimmed mean is ___?___ ( round to the nearest thousandth as needed)
Is the trimmed mean resistant to changes in the extreme values for the given data?
Multiple choice
a. No, because the trimmed mean varies substantially when the extreme values change.
b. yes, because changing the extreme values does not change the trimmed mean.
Answers
To compute the trimmed mean for the given data, we need to first delete the smallest and largest observed values, which are 0.76 and 0.96 respectively. Then we calculate the mean of the remaining 28 values.
The trimmed data set after deleting the smallest and largest values is:
0.81 0.88 0.82 0.90 0.84 0.84 0.91 0.94 0.86 0.86 0.88 0.87 0.89 0.91 0.86 0.87 0.88 0.83 0.91 0.91 0.86 0.89 0.84 0.88 0.88 0.89 0.83 0.90 0.88 0.92 0.85 0.84 0.86
The sum of these values is 24.39, and the trimmed mean is 24.39/28 = 0.871 (rounded to three decimal places).
The trimmed mean is considered to be a resistant measure of central tendency because it is less affected by extreme values compared to the mean. In this case, even though we deleted the smallest and largest values, the resulting trimmed mean is very close to the mean of the original data set (which is 0.8716). Therefore, the trimmed mean is resistant to changes in extreme values in the given data.
The answer is (b) yes, because changing the extreme values does not change the trimmed mean.
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Solve for x. round your answer to the nearest tenth
Trigonometry
Answers
Answer:
\(\displaystyle x \approx 16.5\)
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 EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: \(\displaystyle tan70^\circ = \frac{x}{6}\)[Multiplication Property of Equality] Isolate x: \(\displaystyle 6tan70^\circ = x\)Rewrite: \(\displaystyle x = 6tan70^\circ\)Evaluate: \(\displaystyle x = 16.4849\)Round: \(\displaystyle x \approx 16.5\)In a population of 200 mice brown fur is dominant to gray fur. of 120 of the 200 mice have brown fur, what is the frequenzy?
Answers
The frequency of mice that are heterozygote is 0.3492
It is required to find the frequency.
What is frequency?The number of waves that pass a fixed point in unit time being, measured in hertz(Hz).The number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Given:
Population =200 mice
Gray fur mice= 120 mice
By the use of Hardy-Weinberg equation we have,
Hardy-Weinberg equation is given by
p² + 2pq + q² = 1 and p + q = 1
where, 2pq is the heterozygote frequency.
p² = 120/200
p = 0.7746
p + q = 1
q = 0.2254
Heterozygote frequency = 2pq = 2(0.2254)(0.7746) = 0.3492
Therefore, the frequency of mice that are heterozygote is 0.3492.
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What is the rule for the following geometric sequence?64,-32,16,-8
Answers
The rule for the geometric sequence is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ
What is a geometric sequence?A geometric sequence is a sequence in which consecutive terms are in a common ratio.
How to find the rule for the geometric sequence?Since we have the geometric sequence 64,-32,16,-8, the nth term of a geometric sequence is given by Uₙ = arⁿ⁻¹ where
a = first term and r = common ratio.Since in the geometric sequence, the first term U₁ = a = 64 and the second term U₂ = ar²⁻¹ = ar = -32, then the common ratio r is
r = U₂/U₁
= ar/a
= -32/64
= -1/2
Since a = 64 and r = -1/2
substituting these into Uₙ, we have
Uₙ = arⁿ⁻¹
Uₙ = 64(-1/2)ⁿ⁻¹
Uₙ = 64(-1/2)ⁿ/(-1/2)⁻¹
Uₙ = 64(-1/2)ⁿ/(-2)
Uₙ = -128(-1/2)ⁿ
Uₙ = (-1)(-1)ⁿ128(1/2)ⁿ
Uₙ = (-1)(-1)ⁿ2⁷(1/2)ⁿ
Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ
So, the rule is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ
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What is the slope of the line perpendicular to y 1 4x 10?
Answers
The slope of the line perpendicular to the given line is equal to -4/1.
The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
Thus, the slope of the line perpendicular to the given line is equal to -4/1.
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The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
Homework Use the properties of limits to help decide whether each limit exists. If a limit exists, find its value. 8x + 2x lim x- 7x-2x+1
Answers
The limit of the expression as x approaches 7 exists and is equal to 35/18.
To determine whether the limit of the expression exists, we can evaluate the left-hand and right-hand limits and check if they are equal.
Let's start by finding the left-hand limit as x approaches 7 from the negative side:
lim(x→7-) (8x + 2x) / (7x - 2x + 1)
Substituting x = 7 into the expression yields:
(8(7) + 2(7)) / (7(7) - 2(7) + 1) = (56 + 14) / (49 - 14 + 1) = 70 / 36
Simplifying the expression gives:
70 / 36 = 35 / 18
Now let's find the right-hand limit as x approaches 7 from the positive side:
lim(x→7+) (8x + 2x) / (7x - 2x + 1)
Substituting x = 7 into the expression yields:
(8(7) + 2(7)) / (7(7) - 2(7) + 1) = (56 + 14) / (49 - 14 + 1) = 70 / 36
As we can see, both the left-hand and right-hand limits are equal to 35/18.
Since the left-hand and right-hand limits are equal, we can conclude that the limit of the expression as x approaches 7 exists. The value of the limit is 35/18.
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Find all possible solutions for x and y such that △ABC is congruent to △DEF.
△ABC: sides of length 18, 25, and 5x − 3.
△DEF: sides of length 25, 22, and 5 − y.
△ABC ≅ △DEF when x is
and y is
Answers
Answer:
x = 5 y = -13
Step-by-step explanation:
5(5) - 3 = 22 and 5 - (-13) = 18
The value of x and y is △ABC ≅ △DEF are 5 and -13 respectively
Since △ABC is congruent to △DEF. hence all the sides of △ABC will be equal to △DEF.
Given the sides of △ABC to be 18, 25, and 5x − 3.
Sides of △DEF to be 25, 22, and 5 − y
This shows that the third side of triangle △ABC is 22, hence
5x - 3 = 22
5x = 22 + 3
5x = 25
x = 5
Similarly, the thirs side of △DEF will be 18, hence;
5 - y = 18
y = 5 - 18
y = -13
Hence the value of x and y is △ABC ≅ △DEF are 5 and -13 respectively
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Trinny drew some equilateral triangles and measured their side lengths and perimeters. She decided that the perimeter of an equilateral triangle varies directly with its side length. Write an equation for the relationship and identify the constant of proportionality.
Answers
From the information given,
perimeter varies directly with side length
If two variables, a and b vary directly, then,
a = kb
where
k is the constant of proportionality
Given that
p varies directly with s, then
p = ks
We would solve for k
k = p/s
when p = 6, s = 2
k = 6/2 = 3
Thus, the constant of proportionality is 3
The equation for the relationship is
p = 3s
19. Write a proof in two-column form for the Corresponding Angles Theorem. Given: pill q Prove: m/1 = m/5 Statements Pll q given Reasons aler
Answers
Corresponding Angles Theorem: If a transversal intersects two parallel lines, then the corresponding angles formed are congruent.
Statements Reasons
1. ∠1 and ∠3 are corresponding angles Given
2. m//n Given
3. ∠1 and ∠2 are congruent Alternate Interior Angles Theorem
4. ∠2 and ∠3 are congruent Alternate Interior Angles Theorem
5. ∠1 ≅ ∠2 and ∠2 ≅ ∠3 Substitution (from statements 3 and 4)
6. ∠1 ≅ ∠3 Transitive Property of Congruence
How to explain the TheoremIn this proof, we start by stating that ∠1 and ∠3 are corresponding angles, which is given in the problem statement. We also know that m and n are parallel lines, which is also given.
Then, we apply the Alternate Interior Angles Theorem to show that ∠1 and ∠2, as well as ∠2 and ∠3, are congruent.
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a company has the following information regarding its forecast performance in the past three periods. icture what is the mean absolute deviation (mad)? question 26 options: 225 -66.7 1200 200
Answers
The mean absolute deviation over three period of time is 200
The absolute value of error in period 1 = 300
The absolute value of error in period 2 = 200
The absolute value of error in period 3 = -100
Total absolute value of error = The absolute value of error in period 1 + The absolute value of error in period 2 + The absolute value of error in period 3
Substitute values in the equation
Total absolute value of error = 300 + 200 + 100
= 600
The mean absolute deviation = Total absolute value of error / 3
Substitute the values in the equation
The mean absolute deviation = 600 / 3
= 200
Therefore, the mean absolute deviation is 200
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
Answers
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f - g)
(x), and then find the domain of the result.
Answers
Answer:
work is pictured and shown
Domain: all real numbers
5 ≤ y + 2 ≤ 11 find the compound inequality
Answers
Answer:jkd
Step-by-step explanation:
d
What x value solves the equation?
3x – 5 = 1
x=
Answers
Answer:
x = 2
Step-by-step explanation:
3x – 5 = 1
+ 5 +5
3x = 6
x = 6 ÷ 3
x = 2
Answer:
2
Step-by-step explanation:
Step 1:
3x - 5 = 1 Equation
Step 2:
3x = 6 Add 5 on both sides
Step 3:
x = 6 ÷ 3 Divide
Answer:
x = 2
Hope This Helps :)
what is the scale factor
Answers
Answer:
1 1/3.
Step-by-step explanation:
Multiply the smaller triangle's amounts by 1 1/3, you get the corresponding bigger triangle's amount for that side.
on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
Answers
The statement which is true about the two equilateral triangles is b)The two triangles are the same shape but not the same size. So, correct option is b.
In calculation, a symmetrical triangle is a triangle where every one of the three sides have a similar length. In the natural Euclidean calculation, a symmetrical triangle is likewise equiangular; that is, every one of the three inward points are additionally compatible to one another and are each 60°. It is likewise an ordinary polygon, so it is additionally alluded to as a normal triangle.
Some of hypotheses which are made sense of utilizing symmetrical triangle:
Morley's trisector hypothesis expresses that, in any triangle, the three marks of convergence of the contiguous point trisectors structure a symmetrical triangle.Napoleon's hypothesis expresses that, in the event that symmetrical triangles are built on the sides of any triangle, either all outward, or all internal, the focuses of those symmetrical triangles themselves structure a symmetrical triangle.The side length of the primary symmetrical triangle is 3 inches.The side-length of the second symmetrical triangle is 4 inches.Since both the triangles are symmetrical triangles, in this way they have same shape.
Be that as it may, the two triangles have different side lengths in this way they have different size.
Hence, option b is correct.
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(Complete question) is:
on a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 3 inches and one with a side length of 4 inches. which statement is true about the two triangles?
a. The two triangles are the same size but not the same shape.
b. The two triangles are the same shape but not the same size.
c. The two triangles are the same size and same shape.
d. It is impossible to construct equilateral triangles with these side lengths.
PLEASE HELP THIS IS OVER DUE.
Answers
Answer:
(-2,-4)
Step-by-step explanation:
Cant explain but its that one.
Every person has blood type O, A, B, or AB. A random group of people are blood-typed, and the results are shown in the table. A 2-column table with 4 rows is shown. The first column is labeled Blood Type with entries O, A, B, AB. The second column is labeled Number of People with entries 22, 20, 6, 2. Use the table to determine the following probabilities. The probability that a randomly chosen person from this group has type B is . The probability that a randomly chosen person from this group has type AB is . The probability that a randomly chosen person from this group has type B or type AB blood is
Answers
Answer:
3/25 for type B, 1/25 for type AB, and 4/25 for both
Step-by-step explanation:
O goes to 22
A goes to 20
B goes to 6
AB goes to 2
22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.
Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4p+4x+3px=77. Suppose also that p and x are both functions of time, measured in days. Find
the rate at which x is changing when x 3, p=5, anddp/dt=1.8.
The rate at which x is changing is=
(Round to the nearest hundredth as needed.)
Answers
Answer: rate at which x is changing when x = 3, p = 5, and dp/dt = 1.8 is approximately -1.23.
To find the rate at which x is changing, we can use implicit differentiation.
Given the equation 4p + 4x + 3px = 77, we want to find dx/dt when x = 3, p = 5, and dp/dt = 1.8.
To find dx/dt, we need to differentiate both sides of the equation with respect to time (t).
Differentiating the equation 4p + 4x + 3px = 77 with respect to t:
d/dt(4p + 4x + 3px) = d/dt(77)
Using the chain rule, we can differentiate each term separately:
(4(dp/dt) + 4(dx/dt) + 3p(dx/dt) + 3x(dp/dt)) = 0
Substituting the given values x = 3, p = 5, and dp/dt = 1.8:
(4(1.8) + 4(dx/dt) + 3(5)(dx/dt) + 3(3)(1.8)) = 0
Simplifying the equation:
7.2 + 4(dx/dt) + 15(dx/dt) + 16.2 = 0
Combining like terms:
19(dx/dt) = -23.4
Dividing both sides by 19:
dx/dt = -23.4 / 19
Calculating the value:
dx/dt ≈ -1.23
Therefore, the rate at which x is changing when x = 3, p = 5, and dp/dt = 1.8 is approximately -1.23.
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