Answer:
C. $162.80
Step-by-step explanation:
Hope this helps!
Steven will have to pay $127. 50 for the insurance per year.
What is insurance?Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
here, we have,
First, we need to find the corresponding value for the all-wood building in the city suburbs.
From given table, we will use the value 0.85 because he wishes to ensure his belongings.
Here, the value of the belongings in the apartment is about $15,000
Steven wants to insure his belongings while renting.
Now we can calculate the amount of money he will have to pay for insurance per year as follows:
15000 × (0.85 / 100)
= $127. 50 dollars
Therefore, Steven will have to pay $127. 50 dollars for insurance.
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Complete question:
Steven rents an apartment in an all-wood building in the city suburbs. The
value of the belongings in the apartment is about $15,000. If Steven wants to
insure his belongings while renting, how much will he have to pay for
insurance per year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39 0.43 0.5 0.54 0.55 0.65 0.66 0.76
Suburb 0.45 0.52
0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
0.56
If c(x) = 4x-2 and d(x) = x2 + 5x, what is (c x d) (x)
Answer:
(cd)(x) = 4x³ + 18x² - 10x
Step-by-step explanation:
The question is asking to multiply c(x) and d(x). So we FOIL:
(4x - 2)(x² + 5x)
4x³ + 20x² - 2x² - 10x
4x³ + 18x² - 10x
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 17.9% (i.e., an average gain of 17.9%) with a standard deviation of 34%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answer:
a) This portfolio loses money in 29.81% of the years.
b) The cutoff for the highest 15% of annual returns with this portfolio is a return of 53.16%.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
[tex]\mu = 17.9, \sigma = 34[/tex]
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
We have to find the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - 17.9}{34}[/tex]
[tex]Z = -0.53[/tex]
[tex]Z = -0.53[/tex] has a pvalue of 0.2981
This portfolio loses money in 29.81% of the years.
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
This is the 100 - 15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.037 = \frac{X - 17.9}{34}[/tex]
[tex]X - 17.9 = 1.037*34[/tex]
[tex]X = 53.16[/tex]
The cutoff for the highest 15% of annual returns with this portfolio is a return of 53.16%.
Pediatricians prescribe 5ml of cough syrup for every 25lb of a child’s weight. How many milliliters of cough syrup will the doctor prescribe for Jocelyn, who weighs 45lb?
Answer:
x=9
Step-by-step explanation:
for this sort of a problem, I would set up a proportion
5/25=x/45
multiply both sides by 25 and 45
45*5=x*25
225=25x
x=9
Let an be the number of ways to climb n stairs if a person climbing the stairs can take one stair or two stairs at a time. Identify the number of ways the person who can take one stair or two stairs at a time can climb a flight of eight stairs.
Answer:
64 ways
Step-by-step explanation:
Let n = 8
The number of ways a person can take one stair = n^P1 = 8^P1
The number of ways a person can take two stairs = n^P2 = 8^P2
∴ The number of ways the person who can take one stair or two stairs at a time = 8^P1 + 8^P2 = 8 + 56 = 64 ways
15. In the State of California, there are 25 full-time employees to every 4 part-time employees. If there are 250,000 full-time employees, how many part-time employees are there statewide?
A Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer; a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer. Test whether there is a difference between these proportions at α = 0.05. What is the test statistic value? Group of answer choices
Answer:
Step-by-step explanation:
Step(i):-
Given first random sample size n₁ = 500
Given Roper survey reported that 65 out of 500 women ages 18-29 said that they had the most say when purchasing a computer.
First sample proportion
[tex]p^{-} _{1} = \frac{65}{500} = 0.13[/tex]
Given second sample size n₂ = 700
Given a sample of 700 men (unrelated to the women) ages 18-29 found that 133 men said that they had the most say when purchasing a computer.
second sample proportion
[tex]p^{-} _{2} = \frac{133}{700} = 0.19[/tex]
Level of significance = α = 0.05
critical value = 1.96
Step(ii):-
Null hypothesis : H₀: There is no significance difference between these proportions
Alternative Hypothesis :H₁: There is significance difference between these proportions
Test statistic
[tex]Z = \frac{p_{1} ^{-}-p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]
where
[tex]P = \frac{n_{1} p^{-} _{1}+n_{2} p^{-} _{2} }{n_{1}+ n_{2} } = \frac{500 X 0.13+700 X0.19 }{500 + 700 } = 0.165[/tex]
Q = 1 - P = 1 - 0.165 = 0.835
[tex]Z = \frac{0.13-0.19 }{\sqrt{0.165 X0.835(\frac{1}{500 } +\frac{1}{700 } )} }[/tex]
Z = -2.76
|Z| = |-2.76| = 2.76 > 1.96 at 0.05 level of significance
Null hypothesis is rejected at 0.05 level of significance
Alternative hypothesis is accepted at 0.05 level of significance
Conclusion:-
There is there is a difference between these proportions at α = 0.05
According to the question,
Women,
[tex]\hat p_1 = \frac{65}{500}[/tex][tex]= 0.13[/tex]
Men,
[tex]\hat p_2=\frac{300}{700}[/tex][tex]= 0.19[/tex]
Now,
The pooled estimate of the proportion will be:
→ [tex]\hat p=\frac{x_1+x_2}{n_1+n_2}[/tex]
By substituting the values,
[tex]= \frac{65+133}{500+700}[/tex]
[tex]= 0.165[/tex]
then,
→ [tex]\hat q = 1- \hat p[/tex]
[tex]= 1- 0.165[/tex]
[tex]= 0.835[/tex]
hence,
The test statistics:
→ [tex]Z = \frac{\hat p_1- \hat p_2}{\sqrt{\hat p\times \hat q\times (\frac{1}{n_1} +\frac{1}{n_2} )} }[/tex]
By putting the values, we get
[tex]= \frac{0.13-0.19}{\sqrt{0.165\times 0.835\times (\frac{1}{500} +\frac{1}{700} )} }[/tex]
[tex]= -2.76[/tex]
Thus the above response is right.
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The expression square root 5x is equivalent to the expression square root 5
A. True Or B. False
Answer:
False
Step-by-step explanation:
sqrt(5x) cannot simplify to x*sqrt5 because the x variable is not squared.
Answer:
false
Step-by-step explanation:
Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100. a) What percentage of the people taking the test score between 400 and 500
Answer:
38.3% of the people taking the test score between 400 and 500
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 450, \sigma = 100[/tex]
What percentage of the people taking the test score between 400 and 500
We have to find the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 400. So
X = 500
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{500 - 450}{100}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
X = 400
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{400 - 450}{100}[/tex]
[tex]Z = -0.5[/tex]
[tex]Z = -0.5[/tex] has a pvalue of 0.3085
0.6915 - 0.3085 = 0.383
38.3% of the people taking the test score between 400 and 500
A new toy hits the local store. Sales (in hundreds) increase at a steady rate for several months, then decrease at about the same rate. This can be modeled by the function S(m)=-0.625\left|\mathrm{m}-8\right|+5S(m)=−0.625∣m−8∣+5 In what month(s) were 400 toys sold? A) 7th and 10th B) 5th C) 5th and 11th D) 4th and 12th
Answer:
Option A.
Step-by-step explanation:
It is given that, sales (in hundreds) for several months can be modeled by the function:
[tex]S(m)=-0.625|m-8|+5[/tex]
We need to find the month in which 400 toys were sold.
Substitute S(m)=4 in the given function.
[tex]4=-0.625|m-8|+5[/tex]
[tex]4-5=-0.625|m-8|[/tex]
[tex]-1=-0.625|m-8|[/tex]
[tex]\dfrac{-1}{-0.625}=|m-8|[/tex]
[tex]1.6=|m-8|[/tex]
Now,
[tex]\pm 1.6=m-8[/tex]
[tex]1.6=m-8[/tex] or [tex]-1.6=m-8[/tex]
[tex]1.6+8=m[/tex] or [tex]-1.6+8=m[/tex]
[tex]9.6=m[/tex] or [tex]6.4=m[/tex]
Approx the value to the next whole number.
[tex]m\approx 10[/tex] or [tex]m\approx 7[/tex]
It means, 400 toys were sold on 7th and 10th month.
Therefore, the correct option is A.
Please answer this correctly
Answer:
4/7
Step-by-step explanation:
The numbers 7 or odd are 1, 3, 5, and 7.
4 numbers out of 7.
P(7 or odd) = 4/7
find the sum of the interior angles of the following polygons.1)Pentagon. 2)hexagon. 3)heptagon. 4)octagon.
Answer:
Sum of interior angles of polygon = (n-2)*180
1) Pentagon:
(5-2)*180= 5402)Hexagon:
(6-2)*180= 7203) Heptagon:
(7-2)*180= 9004) Octagon:
(8-2)*180= 1080What is the common ratio between successive terms in the sequence?
1
27, 9, 3, 1,
3.927
27
Question:
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1
Answer:
common ratio = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:
a, b, c, d...
The common ratio is found by any of the following;
r = [tex]\frac{b}{a}[/tex] ----------(i)
r = [tex]\frac{c}{b}[/tex] -----------(ii)
r = [tex]\frac{d}{c}[/tex] ------------(iii)
Any of equations (i) through (iii) will give the common ratio of the sequence.
============================================================
Now, from the question, the given sequence is;
27, 9, 3, 1
To get the common ratio, just divide the second term (9) by the first term (27) i.e
r = [tex]\frac{9}{27}[/tex] = [tex]\frac{1}{3}[/tex]
OR
You can also divide the third term (3) by the second term (9). i.e
r = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
OR
You can choose to divide the fourth term (1) by the third term (3). i.e
r = [tex]\frac{1}{3}[/tex]
Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is [tex]\frac{1}{3}[/tex]
4 -letter "words" are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. (b) No letter can be repeated in a word. (c) Each word must begin with the letter A (d) The letter C must be at the end. (e) The second letter must be a vowel.
Answer: a) 2401 b) 840 c)343 d)343 e) 686
Step-by-step explanation:
a) Total are 7 letters
There are 4 possible places in 4-letter word for each of 7 letter.
So total amount of the words is
7*7*7*7= 2401
b) No letter can be repeated mens that in 1st place can stay any of 7 letters,
in 2-nd place- any of 6 letters
in 3-rd place- any of 5 letters
in 4-th place any of 4 letters
Total amount of words is
7*6*5*4=840
c) It is not written if the letters can be repeated. Assume that they can.
1st place occupied by letter A. So at 2-nd, 3-rd and 4th places can stay any of 7 letters
Total amount of words is
1*7*7*7=343
d) Similar case like c). At 1-st ,2-nd, 3-rd can stay any of 7 letters, and at 4th place the letter C (1 letter). Total amount of words is
7*7*7*1=343
e) There are 2 vowels A and E.
So at 1st place can stay any of 7 letters, at 2-nd place -any of 2 letters, at 3-rd place- any of 7 letters and at 4th place any of 7 letters. Total amount of words is
7*2*7*7=686
The total number of 4-letter words possible is 2401
The total number of 4-letter words possible with no letter repeated is 840
The total number of 4-letter words possible with the first letter being A is 343
The total number of 4-letter words possible with the letter C at the end is 294.
The total number of 4-letter words possible with the second letter being a vowel is 1029.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(a) No condition is imposed:
There are 7 choices for the first letter, 7 choices for the second letter, 7 choices for the third letter, and 7 choices for the fourth letter.
The total number of 4-letter words possible.
7 × 7 × 7 × 7 = 2401
(b) No letter can be repeated in a word:
For the first letter, there are 7 choices.
For the second letter, there are only 6 choices left (since we cannot repeat the first letter). Similarly, for the third letter, there are only 5 choices left, and for the fourth letter, there are only 4 choices left.
The total number of 4-letter words possible with no letter repeated.
7 × 6 × 5 × 4 = 840
(c) Each word must begin with the letter A:
For the first letter, there is only 1 choice (the letter A). For the second letter, there are 7 choices (since any letter can be used).
For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.
The total number of 4-letter words is possible with the first letter being A.
1 × 7 × 7 × 7 = 343
(d) The letter C must be at the end:
For the fourth letter, there is only 1 choice (the letter C).
For the first letter, there are 7 choices (since any letter can be used).
For the second letter, there are 7 choices, and for the third letter, there are 6 choices (since the letter C cannot be used).
The total number of 4-letter words possible with the letter C at the end.
7 × 7 × 6 × 1 = 294
(e) The second letter must be a vowel:
For the first letter, there are 7 choices (since any letter can be used). For the second letter, there are 3 choices (the vowels A, E, and I).
For the third letter, there are 7 choices, and for the fourth letter, there are 7 choices.
The total number of 4-letter words possible with the second letter being a vowel.
7 × 3 × 7 × 7 = 1029
Thus,
The total number of 4-letter words possible is 2401
The total number of 4-letter words possible with no letter repeated is 840
The total number of 4-letter words possible with the first letter being A is 343
The total number of 4-letter words possible with the letter C at the end is 294.
The total number of 4-letter words possible with the second letter being a vowel is 1029.
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Anyone know how to solve 7 and 11
Answer:
7. f⁻⁻¹(x)=x-3 11. f⁻⁻¹(x)= 2x/(1-x)
Step-by-step explanation:
to find the inverse of an expression:
1. change f(x) to y.
2. switch the x and y values.
3. solve to find y.
So....
7.) f(x)=x+3 11.) f(x)= x/(x+2)
y=x+3 y=x/(x+2)
x=y+3 x=y/(y+2)
f⁻⁻¹(x)=x-3 f⁻⁻¹(x)= 2x/(1-x)
Jose Canseco hit three fifth-deck home runs at SkyDome/Rogers Centre during his career, including the first ever at the stadium in 1989. That first homer is listed as a distance of 480 ft, and the fifth deck is approximately 75 feet above field level. How fast was the ball going just as it left Conseco’s bat?
Answer:
187 ft/s
Step-by-step explanation:
Given in the y direction:
v₀ = 0 ft/s
Δy = 75 ft
a = 32 ft/s²
Find: t
Δy = v₀ t + ½ at²
(75 ft) = (0 ft/s) t + ½ (32 ft/s²) t²
t = 2.165 s
Given in the x direction:
Δx = 480 ft
a = 0 ft/s²
t = 2.165 s
Find: v₀
Δx = v₀ t + ½ at²
(480 ft) = v₀ (2.165 s) + ½ (32 ft/s²) (2.165 s)²
v₀ = 187 ft/s
Carly owns a T-shirt shop. She pays $2.25 for each shirt.
Carly prints a picture on each shirt. The printing costs
her $1.00 per shirt. She sells the shirts for $10.50 each.
How much is the markup on each shirt?
Answer:
Total number of T-shirts= 200
Cost per T-shirt (without shipping ) = $2.80
Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14
Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94
Markup = 150% of total cost = 1.50 * 2.94 = $4.41
To get the price at which Michelle will sell each T-shirt , add total cost to the markup; 2.94 +4.41 = 7.35.
Therefore, selling price will be $7.35
New question! What's the average of 156218 and 8162336
Answer:
4159277
Step-by-step explanation:
156218 and 8162336
Add the two numbers and divide by 2
(156218 + 8162336)/2 =
8318554/2=
4159277
Answer:
4159277
Step-by-step explanation:
156218+8162336
=8318554
8318554 divided by 2 = 4159277
you add both numbers and divide by how many you added
What is the sum?
StartFraction 3 Over x squared minus 9 EndFraction + StartFraction 5 Over x + 3 EndFraction
StartFraction 8 Over x squared + x minus 6 EndFraction
StartFraction 5 x minus 12 Over x minus 3 EndFraction
StartFraction negative 5 x Over (x + 3) (x minus 3) EndFraction
StartFraction 5 x minus 12 Over (x + 3) (x minus 3)
Answer:
The answer is option D.
Step-by-step explanation:
First we must first find the LCM
the LCM of x² - 9 and x + 3 is x² - 9
So we have
[tex] \frac{3}{ {x}^{2} - 9 } + \frac{5}{x + 3} = \frac{3 + 5(x - 3)}{ {x}^{2} - 9} \\ \\ = \frac{3 + 5x - 15}{(x + 3)(x - 3)} \\ \\ = \frac{5x - 12}{(x + 3)(x - 3)} [/tex]
Hope this helps you
Answer:
D
Step-by-step explanation:
ONLY answer is you 100% know this...
Hey there! :)
Answer:
y = 8.
Step-by-step explanation:
Begin by finding the slope of the equation. Use two points from the table and plug them into the formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4-16}{1-(-2)}[/tex]
Simplify:
[tex]m = \frac{-12}{3}[/tex]
m = -4. This is the slope.
Create an equation in slope-intercept form (y = mx + b) to solve for the y intercept. Plug in the x and y values from another point.
0 = -4(2) + b
0 = -8 + b
Add 8 to both sides:
8 = b. The 'b' value is the y-intercept.
Therefore, the y-intercept of this table is:
y = 8.
Which of the following two statements is true regarding correlation? Correlation is a qualitative measure of the strength of a linear association between two variables. Correlation is a quantitative measure of the form between two variables, as seen on a scatterplot. Correlation is a quantitative measure of the strength of a linear association between two variables. Correlation can be used to determine the direction of the relationship between two variables. Correlation can only be positive. Correlation can only be negative. 2 items need to be selected.
Answer:
correlation can be used to determine the direction of the relationship between two variables may be this is the answer not sure
What is the volume of a sphere with a surface area of 9 pi yd2 Options A. 9/2 Pi yd3 B. 9 pi yd3 C. 9/4 pi yd3 D.36 pi yd3
Answer:
=9/2yd³
Step-by-step explanation:
the surface area of a sphere, radius r
S = 4πr²
9 π = 4 π r 2 ⇒ r 2 = 9 π 4 π = 9 4 ∴ r = √ 9 4 = 3 2
The volume of a sphere is
V=43πr3=43×π×(32)3=4×3×3×33×2×2×2π
=9/2yd³
Answer is =9/2yd³ for this question
Please mark brainliest
Hope this helps.
What is the simplified form of the expression 6 ( 4x - 7)
Answer:
The answer is 24x-42.
Step-by-step explanation:
here, the given expression is 6(4x-7)
= 24x- 42... is simplified form of equation.
hope it helps
The constant of proportionality between the number of animals(a) at a zoo and the number of employees(e) that work there is 9/2.
Step-by-step explanation:
i think the answer is 1/9
If one card is drawn from a deck. find the probability of getting these results. Enter your answers as fractions or as decimals rounded to 3 decimal places.
Part 1
An ace and a heart
P(acc and heart)-
Part 2
An 8 or a diamond
P (8 or diamond)-
Part 3
A red 7
P(red 7)-
Answer: Part 1: 1/52 Part 2: 15/26 Part 3: 1/26
Step-by-step explanation:
A ace of hearts is only 1 card
a 8 or a diamond a 8 is a 4/52 chance and a diamond is a 26 / 52 chance
26 + 4 = 30
30/52 simplifies to 15/26
A red 7 has a 4/52 chance for a 7 and half of that for a red card so 2/52 then 1/26
Write the prime factorization of 24. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).
Answer:
2•2•2•3
24 has factors 2 and 12
12 has factors 2 and 6
6 has factors 2 and 3
Find dy/dx by implicit differentiation.
x^2/x+y=y^2+7
Answer:
dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)
Step-by-step explanation:
x² / (x + y) = y² + 7
x² = (x + y) (y² + 7)
Take derivative of both sides with respect to x. Use power rule, product rule, and chain rule.
2x = (x + y) (2y dy/dx) + (y² + 7) (1 + dy/dx)
Simplify.
2x = (2xy + 2y²) dy/dx + y² + y² dy/dx + 7 + 7 dy/dx
2x = (2xy + 3y² + 7) dy/dx + y² + 7
2x − y² − 7 = (2xy + 3y² + 7) dy/dx
dy/dx = (2x − y² − 7) / (2xy + 3y² + 7)
what is 75878437984788748738478347877587 divided by 558749839 + 848783978674 X 748374784748674567 - 847875875656
Answer:
6.3520866e+29
Step-by-step explanation:
Arrange the numbers in scientific notation from greatest to least according to their values. 3.1 × 10-2 2.01 × 10-3 4.2 × 10-5 1.03 × 10-1 2.32 × 10-
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
Hope this helps you!
Answer:
1.03 × 10-1
3.1 × 10-2
2.01 × 10-3
2.32 × 10-4
4.2 × 10-5
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer:
see below
Step-by-step explanation:
It can be useful to remember that the angle θ of rotation between the x-y plane and the x'-y' plane is given by ...
cot(2θ) = (A -C)/B
where the standard form equation is ...
Ax² +Bxy +Cy² +Dx +Ey +F = 0
For a 30° rotation, you want ...
(A -C)/B = cot(2·30°) = 1/√3
Looking at the answer choices, you have ...
A: (A -C)/B = (3 -(-39))/(42√3) = 1/√3 . . . as required
B: (A -C)/B = (3 -(-39))/(-12√3) = 7/(2√3)
C: (A -C)/B = (-39 -3)/(42√3) = -1/√3
D: AC > 0, not a hyperbola
_____
Based on rotation angle only, the appropriate choice is the first choice. Because the term signs in the x'-y' formula are different, the figure is a hyperbola. In general form, the equation describes a hyperbola when AC<0.
Answer:
the first answer choice is correct!
Step-by-step explanation:
took the test amd got it correct:)) hope this helps:)) have a good day:))
(x+4)/(x^(2)+5x+6)*(x+3)/(x^(2)-16) solve this show all your work
Answer:
1/(x^2-6x+8)
Step-by-step explanation:
1. x^2-16=(x-4)*(x+4)
2. x^2+5x+6=(x+2)*(x+3)
So (x+4)/(x^2+5*x+6) *(x+3)/(x^2-16)=
=(x+4)*(x+3)/((x+4)(x-4)(x+2)(x+3))=1/((x-4)(x-2))=1/(x^2-6x+8)