Answer:
(−3b4)2
−12
b−9
=
−3
4
b8
b9
=
−3
4b
Step-by-step explanation:
PLEASE HELP!!
Let f(x) = 8(3)^x The graph is stretched vertically by a factor of 3 to form the graph g(x). Choose the equation of g(x)
Answers:
a: g(x)=8(9)^x
b: g(x)=3(3)^x
c: g(x)=24(3)^x
d: g(x)=11(3)^x
The equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).
What is function?
A formula, rule, or legislation that specifies how one variable (the independent variable) and another variable are related (the dependent variable).In contrast to the function f (x), the function g (x) is referred to as an inner function. The function g is the inner function of the outer function f, thus we can also interpret f [g (x)] in this way.For the parent function f(x) and a constant k >0,
then, the function given by
g(x) = kf(x) can be sketched by vertically stretching f(x) by a factor of k if k>1 (or)
if 0 < k < 1 , then it is vertically shrinking f(x) by a factor of k
As per the given statement that the graph of f(x) is stretched vertically by a factor of 3 i.e
k = 3 >1
so, by definition
g(x) = 3 f(x) = 3 . 8(3)ˣ
= 8(3)ˣ⁺¹
= 24 (3)ˣ
Hence, the equation of g(x) is 24 (3)ˣ when the graph is stretched vertically by a factor of 3 to form the graph g(x).
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Stan and Talia each went to see a movie. Both movies started at 7:15.
Stan's movie ended at 9:40.
Talia's movie ended at 10:10.
Part A
Use the drop-down menus to complete the sentence about the length of Stan's movie.
Stan's movie lasted
Choose...
hours and
Choose...
minutes.
Part B
Use the drop-down menus to complete the sentence that compares the length of the two movies.
Talia's movie lasted
Choose...
hours and
Choose...
minutes longer than Stan's movie.
The length of Stan's movie is 2 hours 25 minutes
The length of Talia's movie is 2 hours 55 minutes.
What are the length of the movies?In order to determine the length of the movies, subtract the end time of the movie from the time the movie started.
Subtraction is the mathematical operation that is used to calculate the difference between two or more numbers. The sign that is used to represent subtraction is -.
Length of the movie = time the movie ended - time the movie started
Length of Stan's movie = 9:40 - 7:15 = 2 : 25 hours
Length of the Talia's movie = 10 : 10 - 7 : 15 = 2 : 55 hours
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hi help pls its 15 pts:((
Answer:
(x,y) -> (-x,-y)
Step-by-step explanation:
You need the opposites of both points, not just one of them.
Simplify the expression:
8(–3n + 6) =
Answer:
-24n+48
Step-by-step explanation:
1. Rihanna wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 76 ft and marks point C. Then she walks 24 ft further and marks point D. She turns 91° and walks until her final location and marks point E. Point E, point A, and point C are collinear.
a. Rihanna says she created similar triangles. Which postulate/theorem did she use to conclude that ∆ABC and ∆EDC are similar? Explain why she was able to use it?
Postulate/Theorem used:
Justification:
b. Suppose (DE) = 222 ft. Calculate the distance of (AB). Show your work and label your answer.
The measure of AB from the given triangle ABC is 703 feet.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, Rihanna starts at point B and walks along the edge of the river 76 ft and marks point C.
a) Consider the triangle ABC and the triangle DCE.
From the given figure,
DC=24 feet and BC=76 feet
∠ABC=∠DEC=91°
∠DCE=∠ACB (vertically opposite angles)
By AA similarity, ΔABC similar to ΔDCE
b) Now, DE= 222 feet
Here, DC/BC = DE/AB
24/76 = 222/AB
24AB=222×76
AB=16872/24
AB=703 feet
Therefore, the measure of AB is 703 feet.
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Two friends decide to run everyday for exercise Steve runs 2.5 miles per day. Sam runs 6.5 miles per day gho many days will it take for the to reach 450 miles combined?
Hey there! I'm happy to help!
We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.
We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.
450÷9=50
Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!
Have a wonderful day! :D
The measure of L in triangle LMN is 32°. The measure of M is 69°. What is the measure of N?
A.
79°
B.
259°
C.
101°
D.
37°
Answer:
A) 79
Step-by-step explanation:
m<N = x
All angles in a triangle add up to 180 so:
x + m<L + m<M = 180
x + 32 + 69 = 180
x + 101 = 180
x = 180 - 101
x = 79
Answer:
It is (A) 79°
The summation of the triangle's angles are 180°
Step-by-step explanation:
\(m + l + n = 180 \\ 69 + 32 + n = 180 \\ n = 180 - 101 \\ n = 79 ^{ {} ^{.} } \)
Order the following from greatest to least:
3 2/3, 3 5/6, 3 7/12, 3 3/4
Answer:
the answer is 45.4565
Step-by-step explanation:
A cube has square sides with area x2 +24x + 144. What expression represents the surface area of the cube?
Given:
A cube has square sides with area \(x^2+24x+144\).
To find:
The expression that represents the surface area of the cube.
Solution:
We have
The area of each side of cube = \(x^2+24x+144\)
Number of sides of a cube = 6
We know that, the total surface area of the cube is the product of number of sides of the cube and the area of each side. So, the total surface area of the cube is
\(SA=6(x^2+24x+144)\)
\(SA=6(x^2)+6(24x)+6(144)\)
\(SA=6x^2+144x+864\)
Hence, the expression that represents the surface area of the cube is \(6x^2+144x+864\).
the general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. True or False
The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.
What is probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena
In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.
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what percent of the variation in final exam scores was accounted for by the linear association with internet class time in this study?
We cannot compute the percentage of variation in final exam scores, Without knowing the correlation coefficient or regression equation.
To determine the percentage of variation in final exam scores that is explained by the linear relationship with Internet instruction time, we need to calculate the coefficient of determination, denoted \(R^2.\)
R-squared is the proportion of the variance of the dependent variable (final grade) that can be explained in a linear regression model by the independent variable (internet class hours).
It ranges from 1, showing that the demonstration does not clarify the change, and 1 demonstrating that the demonstration clarifies all the fluctuation.
In case you've got as of now calculated the relationship coefficient (r) between Web class hours and last exam scores, you'll be able to calculate \(R^2\)as follows:
\(R^2 = r^2\)
Then again, once you've got the relapse condition, you'll be able to compute\(R^2\)the square of the relationship between the anticipated and genuine values of the subordinate variable.
\(R^2 = (SSR/SST)\)
where SSR is the sum of squared residuals (also called the explained sum of squares) and SST is the total sum of squares.
You cannot calculate \(R^2\)without knowing the correlation coefficient or the regression equation.
Therefore, we need more information on studies such as: Using data or summary statistics,
to determine the value of \(R^2\)to determine the percentage of variation in final exam scores explained by a linear relationship with Internet instruction time.
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When the price of product * x " increases 12 percent (+1296), the quantity demanded of " x
∗
decreases 15 percent (-15"6). The price elasticity of demand for
∗
x
∗
is: −1.25
∘
and " x
∗
is a "normal" good. "-1.25" and the demand for " X " is "relatively inelastic." "-0.80" and the demand for " x " is "relatively, inelastic," ":0.00" and the demand for " x " is "relatively elastic." "−1.25 " and the demand for " x " 15 "relatively elastic."
The price elasticity of demand for x is -1.25.
Price elasticity of demand (PED) is a measure of how responsive quantity demanded is to changes in price. It is calculated as follows:
```
PED = (% change in quantity demanded)/(% change in price)
```
In this case, the price of x increases by 12% and the quantity demanded decreases by 15%. Therefore, the PED is -1.25.
A PED of -1.25 means that the quantity demanded is relatively inelastic. This means that a change in price will have a relatively small effect on quantity demanded.
The demand for x is a normal good. This means that as the price of x increases, the quantity of value demanded of x will decrease.
The demand for x is relatively inelastic. This is because the PED is -1.25, which is less than -1. A PED of -1 or less indicates that the demand is inelastic.
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The football team has an orange water jug and a blue water jug. The orange container is full with 3,000 mL of water and leaks 8 mL per minute. The blue container only has 2,000 mL of water and leaks 5 mL per minute. After how many minutes will the two containers have the same amount of water? (ROUND TO THE NEAREST WHOLE NUMBER) *
Answer:
333 minutes
Step-by-step explanation:
Let us represent
The number of minutes as = x
The football team has an orange water jug and a blue water jug.
The orange container is full with 3,000 mL of water and leaks 8 mL per minute.
3000ml - 8ml× x
= 3000 - 8x ........ Equation 1
The blue container only has 2,000 mL of water and leaks 5 mL per minute.
2000ml - 5ml× x
= 2000 - 5x ........ Equation 2
We solve this question by equating both Equations together
Orange container = Blue container
3000 - 8x = 2000 - 5x
Collect like terms
3000 - 2000 = 8x - 5x
1000 = 3x
x = 1000/3
x = 333.33333333 minutes
Therefore, approximately to the nearest whole number, the two containers have the same amount of water after 333 minutes
Determine whether each set of numbers can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse, or right 7,15,21
9514 1404 393
Answer:
obtuse triangle
Step-by-step explanation:
The two shortest sides are 7, 15. Their sum is 7+15 = 22, which is longer than the longest side, so these lengths will form a triangle.
__
The "form factor" can be computed to be ...
a^2 +b^2 -c^2 . . . . . where c = longest side
This value is ...
7^2 +15^2 -21^2 = 49 +221 -441 = -167
This negative value indicates the largest angle is more than 90°, so the triangle is obtuse.
_____
Additional comment
This "form factor" has the same sign as the cosine of the largest angle. The cosine is negative for angles greater than 90°. The cosine of the angle is ...
"form factor"/(2ab) = -167/210
largest angle = arccos(-167/210) ≈ 142.678°
HELP!!! PLEAS AND THANK YOU
For the polynomial f(x)=(x^3)+(4x^2)-5x+6 use synthetic division to find f(-4)
Answer:
The remainder is 26.
Please check the attached diagram below to see the remaining solution.
Step-by-step explanation:
To do this:
Take the constant term of the divisor with the opposite sign and write it to the left. Write the coefficients of the dividend to the right.Please check the attached diagram below to see the remaining solution.
Sassan finds that 2 pints 1 cup of water has evaporated from the class aquarium. How many pints of water are left in the aquarium
The pints of water left in the aquarium is 2.5 pints
Converting cups to pintUsing the conversion rule sho below:
1 cup = 0.5 pint
If Sassan finds that 2 pints 1 cup of water have evaporated from the class aquarium, the total pint that evaporated is expressed as:
Total pint = 2 pints + 0.5 pint
Total pint = 2.5 pints
Hence the pints of water left in the aquarium is 2.5 pints
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what is 1.6 X 10³ in standard form
Answer:
Its 1,600
Step-by-step explanation:
You just move the decimal the number the exponent is, in your case its positive 3 so you move it 3 to the right.
Hope this helps!
1.6 X 10³ written in standard form is 1600.
What is scientific form of numbers ?Scientific form of numbers are written in base multiplied by powers of 10.Where base is greater than or equal to 1 and less than 10.Can be expressed numerically as 1≤base<10.
Scientific form of number are compact and takes less space and they are raise to exponents.
According to the given question a number 1.6×10³ is written in scientific form we have to convert this number into standard form.
We know 10³ = 1000.
∴ 1.6×10³ = 1.6 × 1000.
= 1600.
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Write the product using exponents.
(-9).(-9) · (–9) · (–9) · (-9)
Using exponents the product is
Answer:
-9^5
Step-by-step explanation:
5 is the base that makes -9 repeats its self 5 times
Answer:
\((-9)^{5}\), negative 9 to the power of 5.
Step-by-step explanation:
We multiply -9 by itself 5 times. Using the definition of exponents, we can rewrite it with base -9 and exponent 5.
I hope this helps.
13. A class has 10 students of which 4 are male and 6 are female. If 3 students are chosen at random from the class, find the probability of selecting 2 females using binomial approximation. a) 0.288 b) 0.720 c) 0.432 d) 0.240
C. 0.432 is the probability of selecting 2 females using binomial approximation.
The given problem can be solved by using the binomial distribution formula, which is given by:
p(x) = C(n, x) * p^x * q^(n-x)
Where:
p(x) = probability of x successes in n trials
C(n, x) = combination of n things taken x at a time
p = probability of success
q = probability of failure
q = 1 – p
In this case, the probability of selecting 2 females is to be determined. Therefore, x = 2.
Let us substitute the given values in the formula:
p(x = 2) = C(n, x) * p^x * q^(n-x) = C(3, 2) * (6/10)^2 * (4/10)^1 = 0.432
Therefore, the probability of selecting 2 females using binomial approximation is 0.432, which is option c.
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who wants to plays cold war
it's probably pretty cold if you ask me;)
I can give extra points, I just really need help. pls show work
Answer:
8.. answer 31/8 = 3 7/8
9 ... answer : 189/15 = 12 9/12
10 answer : 43/12 = 3 7/12
Hope this will helpful for you and plz mark me as brainlist plzzzz
What is the solution to the equation 3x-4 divided by 7=5
Answer:
x = 13/7 or x = 1 6/7
Step-by-step explanation:
I GIVE BRAINLIST ON ALL MY QUESTIONS !!!!
Which of the
following is an inequality represented by this graph ?
Answer:
y > - 1/3 x + 1
Step-by-step explanation:
?
Is -5/3 rational or irratuonal
The probability event A is .45, the probability of event B is.20. If A and B are independent events, what is the probability of A and B, P(A and B)?
0 2.25
25
.65
.09
Answer:
.09
Step-by-step explanation:
To find the probability of independent events, you multiply their individual probability.
so, .45 x .20 = .09
PLEASE PLEASE HELP ME ! 12 DAYS OF SCHOOL LIKE AND IM BEHINDDDDD
Answer:
The answer to the first one is A, the answers to the second one are 750, 250, 625, and 325, respectively.
Step-by-step explanation:
5/16 = 20/x
5x = 320
x = 64
30/80 = 3/8
10/80 = 1/8
25/80 = 5/16
15/80 = 3/16
3/8*2000 = 750
1/8*2000 = 250
5/16*2000 = 625
3/16*2000 = 325
look at the pic......................
Answer:
\(\frac{81}{1000}\)
Step-by-step explanation:
please help its geometry
Answer:
The answer is:
62534These are the ways that are used in geometry to explain which line I mean.
Suppose I rank all the 44 students in my class on the basis of
their ability, with the best student being rated 1 and the worst
student being rated 44. Is this an ordinal scale or an interval
scale?
The answer to this question is an ordinal scale.
An ordinal scale is a type of scale that provides order, that is, the ranking of data.
Ordinal scales have no standard unit of measurement, they give us the order of the data without the context of the distance between the data.
For example, rank the top 10 movies of the year in order of preference, the rank order is important but the difference in ranking does not necessarily represent the difference in their quality.
On the other hand, an interval scale is a scale where the difference between any two consecutive units is the same, and the ratio of any two consecutive units is the same.
For example, the temperature measured in Celsius or Fahrenheit is an interval scale because the difference between any two temperatures is the same, and the ratio of any two temperatures is the same.
The given situation is an ordinal scale as the rating given to the students is only relative and does not provide information about the differences in the student's abilities.
There is no fixed distance or unit between these ranks, it just shows the order of students from best to worst.
Therefore, the answer to this question is an ordinal scale.
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