Answer:
a) The scale factor is \(\frac{4}{5}\)
b) \(t=5\frac{3}{5}\)
Step-by-step explanation:
The scale factor from shape A to shape B is the value that is multiplied by the side measures of shape A to arrive at the side measures of shape B.
In other words, 5 times a certain value is 4, 15 times a certain value is 12. and 7 times a certain value is t.
Let's start by calling our "certain value" k.
\(5k=4=\\k=\frac{4}{5}\)
Let's check 15 to make sure k is 4/5, like so:
\(15(\frac{4}{5})=\\\frac{60}{5} =\\12\)
Since 15 times 4/5 is twelve, our initial answer was correct.
So, the scale factor, or k, is 4/5.
Following this logic, we know that 7 multiplied by the scale factor is equal to t.
Let's set up an equation and solve for t:
\(7(\frac{4}{5} )=t=\\\frac{28}{5} =t=\\5\frac{3}{5} =t\)
So, \(t=5\frac{3}{5}\)
One pump can fill a swimming pool in 6 hours. A second pipe drains the pool in 9 hours. If the the pool starts empty, what part of the pool will be filled if the first pipe works for 5 hours and the second pipe works for 6 hours.
Answer:
1/6
Step-by-step explanation:
5/6=150/180
6/9=120/180
150/180 - 120/180 = 30/180
30/180=1/6
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Suppose that a random variable has a standard normal distribution. Use a standard normal table such as this one to determine the probability that is between −1.33 and 0.67.
Give your answer in decimal form, precise to at least three decimal places.
(−1.33
Using the normal distribution, it is found that there is a 0.6568 = 65.68% probability that the variable that is between −1.33 and 0.67.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It 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, which is the percentile of X.In this problem, we have a standard normal distribution, hence \(\mu = 0, \sigma = 1\).
The probability that the variable is between −1.33 and 0.67 is the p-value of Z when X = 0.67 subtracted by the p-value of Z when X = -1.33, hence:
X = 0.67
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{0.67 - 0}{1}\)
\(Z = 0.67\)
\(Z = 0.67\) has a p-value of 0.7486.
X = -1.33
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{-1.33 - 0}{1}\)
\(Z = -1.33\)
\(Z = -1.33\) has a p-value of 0.0918.
0.7486 - 0.0918 = 0.6568.
0.6568 = 65.68% probability the variable that is between −1.33 and 0.67.
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Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
What is the value of a in this linear system?
a + b + c = 62
a - b = 12
2a + b + c = 92
O A.
14
OB.
30
OC.
18
o
c
D.
26
Answer:
Step-by-step explanation:
C
11. Which of these numbers shows the digit 4 with a
value of 0.04?
3.104, 8.412, or 1.743
Answer:
1.743
Step-by-step explanation:
Which of the following is the best definition of a unit rate? * 1 point A.) A ratio of something in comparison to another. B.) A ratio of something per the total amount. C.) How much something goes up or down by. D.) How much of something per 1 unit of something else.
The best definition of the unit rate is how much of something per 1 unit of something else. Hence option D is the correct answer
Unit rate is basically a ratio and it compares something with 1 unit of some other quantity. So they are used for comparing two different things and if we talk about unit rate then the denominator is always 1 or the other value is always 1
So if we talk about an example of unit rate and if we specifically talk about speed, then we say kilometer per hour
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Use the intercepts to graph the equation.
7x-5y=35
Answer:
Step-by-step explanation:
well thats the graph 4 u
Teresa is making iced tea. She has a container that has a volume of 3.95 gallons to store the iced tea.
Which expressions are equivalent to 4 • (7 • y)
Answer:
4(7)+4(y)
4(y·7)
4(3+4)+4(y)
Step-by-step explanation:
\(\textsf{Hey there!}\)
\(\mathsf{Which\ expressions\ are\ equivalent\ to\ 4\times(7\times y)?}\)
\(\downarrow\textsf{Your steps on how to solve for your answer}\)
\(\mathsf{4\times(7\times y)}\\\mathsf{7\times y=7y}\\\mathsf{4(7y)=28y}\)
\(\boxed{\boxed{\huge{\text{{Thus your answer is: \boxed{\boxed{\huge\text{\bf{28y}}}}}}}}}\huge}\checkmark\)
\(\textsf{We can flip the equation around and that can be another answer}\)
\(\boxed{{\mathsf{(\bf{7\times y)\times4}}}} \checkmark\)
\(\boxed{\mathsf{\bf{(4\times 7) y}}}\checkmark\)
\(\mathsf{Thus, your\ answers\ are:\boxed{ \boxed{\bf{28y} ;\ \ (4\times 7) \timesy\times y; \ \& \ (7\times y) \times 4 }}}\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{LoveYourselfFirst:)}\)
A bike has a maximum height of 25 inches which inequality correctly represents this height?
26 . 26 8 | i need help with this
In order to simplify this expression, we need to use the following property:
\(a^b\cdot a^c=a^{b+c}\)So we have:
\(\begin{gathered} 26\cdot26^8 \\ =26^1\cdot26^8 \\ =26^{1+8} \\ =26^9 \end{gathered}\)Therefore the answer is 26^9.
Answer:
26^9
Step-by-step explanation:
i just got the question right
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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Need answer ASAP ROCKY!!
The triangle with vertices at L (-2,5), E ( 1,4), and D(2,-2) is 4 units left, 3 units up, and then reflected over the line y=4 to form the image L'E'D. Which vertex of the image is the greatest distance from the origin?
Answer:
L'(6,8)
Step-by-step explanation:
If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
complete the synthetic division below
The quotient in polynomial form is C. x² - x ₊ 1.
What is synthetic division?In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
| -3 3 3
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
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Marc buys 4 candy bars and a pack of gum for $2.75. Dan buys 2 candy
bars and 3 packs of gum for $2.25. Part A. Write a system of equations for
this situation. Part B. What is the cost of each item?
Find the difference: -8 - 7 =
Answer: -15
Step-by-step explanation:
Anyone can solve this question for me??
its john because 14.7/2 is 7.35 and 19.5/3 is 6.5 so it would have to be john
pls mark brainliest
Please help!!☺️☺️
Will mark brainilest!!
Answer:
C
Step-by-step explanation:
The graph of the absolute value function y = | x | has its vertex at the origin and has the shape V
The graph here is the absolute value translated vertically 3 units down, so
y = | x | - 3 → C
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(c) |x| - 3\)
»»————- ★ ————-««
Here’s why:
The graph given is an absolute value function. This eliminates options A and B, since they are not absolute value functions. The graph shows the parent function of f(x) = |x| that is shifted 3 units down. This can be written as f(x) = |x| - 3.⸻⸻⸻⸻
Option C should be the correct answer.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 14 songs is played once in random order. Find the probability that among the first two songs played
The probability that among the first two songs played, exactly 1 of the 4 songs you like is played is 0.452 or 45.2%.
Define probabilityProbability is a measure of the likelihood of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
There are 4 songs that you like out of the 14 total songs, so the probability of selecting a song that you like on the first draw is 4/14.
On the second draw, the probability of selecting a song that you like is 3/13, since there are now 3 songs that you like out of the remaining 13 songs.
The probability of selecting exactly 1 of the 4 songs you like in the first two draws is given by:
P(exactly 1 like in first two draws) = (4/14) ×(10/13) + (10/14) × (4/13) = 0.452
Therefore, the probability that among the first two songs played, exactly 1 of the 4 songs you like is played is approximately 0.452 or 45.2%.
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The current United States population is about 314,000,000 people. If an iPad costs $500.00, what would be the total cost of purchasing an iPad for each person?
Answer:
157,000,000,000
Step-by-step explanation:
314,000,000 X 500
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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Someone please help
Don’t understand the question
9514 1404 393
Answer:
22. E
23. C
Step-by-step explanation:
These questions are asking you to make use of a couple of trig identities for converting products to sums.
sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))
cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))
sin(-x) = -sin(x)
cos(-x) = cos(x)
__
22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))
= 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)
__
23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)
Which graph represents the function?
f(x)=x√+1
The graph of the function f(x)=√(x + 1) is in the first option
What is a radical graphA radical graph, also known as a square root graph, represents the graph of a square root function. A square root function is a mathematical function that takes the square root of the input variable.
The general form of a square root function is f(x) = √(ax + b) + c,
where a, b, and c are constants that determine the characteristics of the graph.
In the given function:
a = 1
b = 1
c = 0
The graph is plotted and attached
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Solve by elimination.
Answer: \((-1, 4)\)
Step-by-step explanation:
Do not have time
Please solve this with clear steps!!!!! 20 POINTS
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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What is S = L(1 -r) for r
Answer: r=L - s / L
s=l(1−r)
Step 1: Flip the equation.
−lr+l=s
Step 2: Add -l to both sides.
−lr+l+−l=s+−l
−lr=−l+s
Step 3: Divide both sides by -l.
−lr
−l
=
−l+s
−l
r=
l−s
l
what’s 2x+y=4 in slope intercept form
Please help… it’s to hard for me…
Answer:
1) 6<b
2) 9<c
3) 3xb
4) m-n
5) (2/3)x+7
Step-by-step explanation:
A relation is a function only if any two first values in the pairs are the same. O True False
Answer:
False
Explanation:
A relation can become a function only if each of the element of the set X (input) is related to only one element one element of set Y (output). That means only one input is related to each output.
For the question;
A relation is a function only if any two first values in the pairs are the same. False.
A relation cannot become a function when two first value of distinct pair are the same.